Download 6th Grade Math - Tracy Area Public Schools

Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Examples:
Standards Addressed
Strand: Number &
Operation
September
9/1-9/20
15 days
Unit 1
2 days
6.1.3 Multiply and divide
decimals, fractions and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
Strand: Numbers and
Operations
4.1 Multiplication Properties
and Division Rules
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
Curriculum Map
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
6.1.3.5 – Estimate
solutions to problems
with whole numbers,
fraction and decimals and
use the estimates to
assess the results.
Content
- Line Plots
- Median and Mean
- The Landmark Shark Game
- Bar Graphs
- Persuasive Data and Graphs
4.1.1.1 Numbers and
Operation
Demonstrate fluency with
multiplication & division
facts
*Flash Cards
*SB Slides
*Fantasy Football
6.1.1.2 Compare
positive rational
numbers represented in
various forms. Use the
symbols <, >, and =
(1.3) Compare and Order
Numbers
Objectives
Graphs
How many different
ways can you represent
a given set of data so
others can understand?
Persuasive Graphs
If you take a set of
statistics, how would
you represent it so it
shocks the reader?
Assessments
Math Boxes
Study Links
Journal pages
NWEA test
Oral and State
Assessment
Teacher
Can I compare
fractions, decimals,
percents, mixed
numbers, and
improper fractions
using <, =, > symbols?
1
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
real-world and
mathematical situations.
Curriculum Map
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.5 Factor whole
numbers; express a
whole number as a
product of prime
factors with exponents.
3.2 Prime and Composite
Numbers
Can I find, and express
with exponents, the
prime factorization of
a given number less
than 1,000 when the
prime factors are no
larger than 11?
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.5 Factor whole
numbers; express a
whole number as a
product of prime
factors with exponents.
(3.3) Prime Facorization
Can I find, and express
with exponents, the
prime factorization of
a given number less
than 1,000 when the
prime factors are no
larger than 11?
6.1.1 Read, write, represent
6.1.1.6 Determine
(3.4) Greatest Common Factor
Can I find common
2
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Date: 2/11/16
Grade Level:
6th
Standards Addressed
Skills/Benchmarks
Content
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
greatest common
factors and least
common multiples. Use
common factors and
common multiples to
calculate with fractions
and find equivelant
fractions.
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.6 Determine
greatest common
factors and least
common multiples. Use
common factors and
common multiples to
calculate with fractions
and find equivelant
fractions.
(3.5) Least Common Multiple
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
6.1.1.6 Determine
greatest common
factors and least
common multiples. Use
common factors and
(3.6) Explain you solution/ Tic
Tac Toe
Objectives
Assessments
factors, and the
greatest common
factor (GCF), and
common multiples, and
the least common
multiple (LCM) of a
given set of numbers?
Can I find common
factors, and the
greatest common
factor (GCF), and
common multiples, and
the least common
multiple (LCM) of a
given set of numbers?
3
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
common multiples to
calculate with fractions
and find equivelant
fractions.
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.7 Convert between
equivalent
representations of
postitive rational
numbers.
6.1.1.6
Determine greatest
common factors and
least common multiples.
Use common factors
and common multiples
to calculate with
fractions and find
equivelant fractions.
(4.1) Equivalent Fractions
Can I find common
factors, and the
greatest common
factor (GCF), and
common multiples, and
the least common
multiple (LCM) of a
given set of numbers?
Can I convert mixed
numbers into improper
fractions and back
again? Can I
convert squared
numbers to a square
number and back
again?
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
6.1.1.7 Convert between
equivalent
representations of
4.2 Relate fraction, mixed
numbers, and Decimals.
Can I convert mixed
numbers into improper
fractions and back
Assessments
4
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
postitive rational
numbers.
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.7 Convert between
equivalent
representations of
postitive rational
numbers.
6.1.1.2
Compare positive
rational numbers
represented in various
forms. Use the symbols
<, =, and >
(4.3) Compare and Order
Fractions and Decimals
Can I compare
fractions, decimals,
percents, mixed
numbers, and
improper fractions
using <, =, > symbols?
Can I convert mixed
numbers into improper
fractions and back
again? Can I
convert squared
numbers to a square
number and back
again?
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
6.1.1.7 Convert between
equivalent
representations of
(4.4) Relate Decimals and
Percents
Can I convert mixed
numbers into improper
fractions and back
Assessments
again? Can I
convert squared
numbers to a square
number and back
again?
5
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
postitive rational
numbers.
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.7 Convert between
equivalent
representations of
postitive rational
numbers.
(4.5) Interpret Remainders
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.5
Estimate solutions to
(5.1) Estimate Sums and
differences
Objectives
Assessments
again? Can I
convert squared
numbers to a square
number and back
again?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
numbers?
Can I estimate the
answer to a problem
6
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
numbers.
problems with whole
numbers, fractions, and
decimals and use the
estimates to assess the
reasonableness of
results in the context of
the problem
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers.
(5.2) Add and subtract like
denominators
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
numbers?
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers.
(5.3) Add with like
denominators.
(5.4)
Subtract with unlike
denominators
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
numbers?
6.1.3 Multiply and divide
decimals, fractions, and
6.1.3.4 Solve real-world
and mathematical
(5.5) Multistep problems
Can I solve real-world
math problems
Assessments
involving whole
numbers, fractions,
and decimals to check
how reasonable my
answer is to the given
problem?
7
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Date: 2/11/16
Grade Level:
6th
Standards Addressed
Skills/Benchmarks
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers.
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.5
Estimate solutions to
problems with whole
numbers, fractions, and
decimals and use the
estimates to assess the
reasonableness of
results in the context of
the problem
6.1.3.1 Multiply and
divide decimals and
fractions, using efficient
and generalizable
procedures, including
Content
Objectives
Assessments
involving decimals,
fractions, or mixed
numbers?
(6.1) Estimate Fractions,
Products, and Quotients.
Can I multiply and
divide decimals,
fractions, and mixed
numbers?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
numbers?
Can I estimate the
answer to a problem
involving whole
numbers, fractions,
and decimals to check
how reasonable my
answer is to the given
problem?
8
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
standard algorithms.
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
Curriculum Map
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.1
Multiply and divide
decimals and fractions,
using efficient and
generalizable
procedures, including
standard algorithms.
6.1.3.2 Use the meaning
of fractions,
multiplication, division,
and the inverse
relationship between
multiplication and
division to make sense
of procedures for
multiplying and
dividing fractions.
(6.2) Multiply Fractions
Can I multiply and
divide decimals,
fractions, and mixed
numbers?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
numbers?
9
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Date: 2/11/16
Grade Level:
6th
Standards Addressed
Skills/Benchmarks
Content
Objectives
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.1
Multiply and divide
decimals and fractions,
using efficient and
generalizable
procedures, including
standard algorithms.
6.1.3.2 Use the meaning
of fractions,
multiplication, division,
and the inverse
relationship between
multiplication and
division to make sense
of procedures for
multiplying and
dividing fractions.
(6.3) Multiply mixed numbers
Can I multiply and
divide decimals,
fractions, and mixed
numbers?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
numbers?
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve real-
6.1.3.4 Solve real-world
and mathematical
problems requiring
(6.4) Divide Fractions
Can I multiply and
divide decimals,
fractions, and mixed
Assessments
10
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Date: 2/11/16
Grade Level:
6th
Standards Addressed
Skills/Benchmarks
world and mathematical
problems using arithmetic
with positive rational
numbers.
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.1
Multiply and divide
decimals and fractions,
using efficient and
generalizable
procedures, including
standard algorithms.
6.1.3.2 Use the meaning
of fractions,
multiplication, division,
and the inverse
relationship between
multiplication and
division to make sense
of procedures for
multiplying and
dividing fractions.
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.1
Content
Objectives
Assessments
numbers?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
numbers?
(6.5) Divide mixed numbers
Can I multiply and
divide decimals,
fractions, and mixed
numbers?
Can I solve real-world
math problems
11
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
numbers.
Multiply and divide
decimals and fractions,
using efficient and
generalizable
procedures, including
standard algorithms.
6.1.3.2 Use the meaning
of fractions,
multiplication, division,
and the inverse
relationship between
multiplication and
division to make sense
of procedures for
multiplying and
dividing fractions.
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.1
Multiply and divide
decimals and fractions,
using efficient and
Content
Objectives
Assessments
involving decimals,
fractions, or mixed
numbers?
(6.6) Problem Solving- Solve a
simpler problem
Can I multiply and
divide decimals,
fractions, and mixed
numbers?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
12
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
generalizable
procedures, including
standard algorithms.
Curriculum Map
Objectives
Assessments
numbers?
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.1
Multiply and divide
decimals and fractions,
using efficient and
generalizable
procedures, including
standard algorithms.
(6.7) Evaluate expressions with
fractions
Can I multiply and
divide decimals,
fractions, and mixed
numbers?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
numbers?
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.1
Multiply and divide
decimals and fractions,
using efficient and
(7.1) Explore multiplication
and division with decimals
Can I multiply and
divide decimals,
fractions, and mixed
numbers?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
13
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
generalizable
procedures, including
standard algorithms.
Curriculum Map
Objectives
Assessments
numbers?
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.1
Multiply and divide
decimals and fractions,
using efficient and
generalizable
procedures, including
standard algorithms.
(7.2) Multiply Decimals
Can I multiply and
divide decimals,
fractions, and mixed
numbers?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
numbers?
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.1
Multiply and divide
decimals and fractions,
using efficient and
(7.3) Multiply and Divide by
powers of 10
Can I multiply and
divide decimals,
fractions, and mixed
numbers?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
14
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
generalizable
procedures, including
standard algorithms.
Curriculum Map
Objectives
Assessments
numbers?
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.1
Multiply and divide
decimals and fractions,
using efficient and
generalizable
procedures, including
standard algorithms.
(7.4) Divide decimals by whole
numbers
Can I multiply and
divide decimals,
fractions, and mixed
numbers?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
numbers?
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.1
Multiply and divide
decimals and fractions,
using efficient and
(7.5) Divide decimals by
decimals
Can I multiply and
divide decimals,
fractions, and mixed
numbers?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
15
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
generalizable
procedures, including
standard algorithms.
Curriculum Map
Objectives
Assessments
numbers?
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.1
Multiply and divide
decimals and fractions,
using efficient and
generalizable
procedures, including
standard algorithms.
(7.6)Terminating repeating
decimals
Can I multiply and
divide decimals,
fractions, and mixed
numbers?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
numbers?
6.1.3 Multiply and divide
decimals, fractions, and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers.
6.1.3.4 Solve real-world
and mathematical
problems requiring
arithmetic with
decimals, fractions, and
mixed numbers. 6.1.3.1
Multiply and divide
decimals and fractions,
using efficient and
(7.7) Problem solving- Use
decimals
Can I multiply and
divide decimals,
fractions, and mixed
numbers?
Can I solve real-world
math problems
involving decimals,
fractions, or mixed
16
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
generalizable
procedures, including
standard algorithms.
Curriculum Map
Objectives
Assessments
numbers?
6.3.3 Choose appropriate
units of measure and use
ratios to convert within
measurement systems to
solve real-world and
mathematical problems
6.3.3.1 Solve problems
in various contexts
involving conversion
and weight, capacities,
geometric
measurements and
times within
measurement systems
using appropriate units
(8.1) Measurement concepts
Can I solve math
problems by
converting weights,
volumes, geometric
measurments, and
times using the correct
unit?
6.3.3 Choose appropriate
units of measure and use
ratios to convert within
measurement systems to
solve real-world and
mathematical problems
6.3.3.1 Solve problems
in various contexts
involving conversion
and weight, capacities,
geometric
measurements and
times within
measurement systems
using appropriate units
(8.2) Customary units of
measure
Can I solve math
problems by
converting weights,
volumes, geometric
measurments, and
times using the correct
unit?
6.3.3 Choose appropriate
units of measure and use
6.3.3.1 Solve problems
in various contexts
(8.3) Compute with measures
Can I solve math
problems by
17
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
ratios to convert within
measurement systems to
solve real-world and
mathematical problems
involving conversion
and weight, capacities,
geometric
measurements and
times within
measurement systems
using appropriate units
6.3.3 Choose appropriate
units of measure and use
ratios to convert within
measurement systems to
solve real-world and
mathematical problems
6.3.3.1 Solve problems
in various contexts
involving conversion
and weight, capacities,
geometric
measurements and
times within
measurement systems
using appropriate units
(8.4) Metric units of measure
Can I solve math
problems by
converting weights,
volumes, geometric
measurments, and
times using the correct
unit?
6.3.3 Choose appropriate
units of measure and use
ratios to convert within
measurement systems to
solve real-world and
mathematical problems
6.3.3.1 Solve problems
in various contexts
involving conversion
and weight, capacities,
geometric
measurements and
times within
measurement systems
(8.5) Relate customary and
metric units
Can I solve math
problems by
converting weights,
volumes, geometric
measurments, and
times using the correct
unit?
Assessments
converting weights,
volumes, geometric
measurments, and
times using the correct
unit?
18
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
using appropriate units
Curriculum Map
6.3.3 Choose appropriate
units of measure and use
ratios to convert within
measurement systems to
solve real-world and
mathematical problems
6.3.3.1 Solve problems
in various contexts
involving conversion
and weight, capacities,
geometric
measurements and
times within
measurement systems
using appropriate units
(8.8) Problem solving- Identify
relevant information
Can I solve math
problems by
converting weights,
volumes, geometric
measurments, and
times using the correct
unit?
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.1 Locate positive
rational numbers on a
number line and plot
pairs of positive rational
numbers on a
coordinate grid 6.1.1.2
Compare positive
rational numbers
represented in various
forms. Use the symbols
<, =, and >
(11.1) Integers
Can I compare
fractions, decimals,
percents, mixed
numbers, and
improper fractions
using <, =, > symbols?
6.1.1 Read, write, represent
and compare positive
6.1.1.1 Locate positive
rational numbers on a
(11.2) Compare and order
numbers
Can I compare
fractions, decimals,
19
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Date: 2/11/16
Grade Level:
6th
Standards Addressed
Skills/Benchmarks
Content
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
number line and plot
pairs of positive rational
numbers on a
coordinate grid 6.1.1.2
Compare positive
rational numbers
represented in various
forms. Use the symbols
<, =, and >
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.2 Compare
positive rational
numbers represented in
various forms. Use the
symbols <, =, and >
(11.3) Problem solving- Draw
a diagram
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
6.1.1.2 Compare
positive rational
numbers represented in
various forms. Use the
(11.4) Add integers
Objectives
Assessments
percents, mixed
numbers, and
improper fractions
using <, =, > symbols?
20
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
symbols <, =, and >
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.2 Compare
positive rational
numbers represented in
various forms. Use the
symbols <, =, and >
(11.5) Subtract integers
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
6.1.1.2 Compare
positive rational
numbers represented in
various forms. Use the
symbols <, =, and >
(11.6) Model multiplication
and division
Objectives
Assessments
21
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
mathematical situations.
Curriculum Map
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.2 Compare
positive rational
numbers represented in
various forms. Use the
symbols <, =, and >
(11.7) Multiply integers
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.2 Compare
positive rational
numbers represented in
various forms. Use the
symbols <, =, and >
(11.8)Divide integers
6.1.1 Read, write, represent
and compare positive
6.1.1.2 Compare
positive rational
(11.9) Problem solvingChoose the operation
22
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Date: 2/11/16
Grade Level:
6th
Standards Addressed
Skills/Benchmarks
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
numbers represented in
various forms. Use the
symbols <, =, and >
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.2 Understand the
concept of ratio and its
relationship to fractions
and to the multiplication
and division of whole
numbers. Use the ratios to
solve real-world and
6.1.1.3 Understand that
percent represents parts
of 100 and ratios to 100
6.1.2.1 Identify and use
ratios to compare
quantities; understand
that somparing
quantities using ratios is
not the same as
comparing quantities
using subtraction.
6.1.2.4 Use reasoning
about multiplication
and division to solve
ratio and rate problems
Content
(16.1) Ratios and equivalent
ratios
Objectives
Assessments
Can I work wirh
percents that are from
1-100 and ratios to
100?
Can I identify and use
ratio to represent
answers to real-world
problems (ratios may
be represented using
any of the following:
1/4, 1 to 4, 1:4, 1 out of
4, or 25%)?
Can
I use knowledge of
multiplication and
division to solve realworld ratio and rate
23
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
mathematical problems.
Curriculum Map
Objectives
Assessments
problems?
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.2 Understand the
concept of ratio and its
relationship to fractions
and to the multiplication
and division of whole
numbers. Use the ratios to
solve real-world and
mathematical problems.
6.1.1.3 Understand that
percent represents parts
of 100 and ratios to 100
6.1.2.1 Identify and use
ratios to compare
quantities; understand
that somparing
quantities using ratios is
not the same as
comparing quantities
using subtraction.
6.1.2.3 Determine the
rate for ratios of
quantities with different
units
6.1.2.4 Use
reasoning about
multiplication and
division to solve ratio
and rate problems
(16.2) Rates
Can I work wirh
percents that are from
1-100 and ratios to
100?
Can I identify and use
ratio to represent
answers to real-world
problems (ratios may
be represented using
any of the following:
1/4, 1 to 4, 1:4, 1 out of
4, or 25%)?
Can
I find a rate for ratios
of quantities with
different units? Can I
use knowledge of
multiplication and
division to solve realworld ratio and rate
problems?
6.1.2 Understand the
concept of ratio and its
relationship to fractions
6.1.2.1 Identify and use
ratios to compare
quantities; understand
(16.3) Distance, speed, and
time
Can I identify and use
ratio to represent
answers to real-world
24
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
and to the multiplication
and division of whole
numbers. Use the ratios to
solve real-world and
mathematical problems.
that somparing
quantities using ratios is
not the same as
comparing quantities
using subtraction.
6.1.2.3 Determine the
rate for ratios of
quantities with different
units
6.1.2 Understand the
concept of ratio and its
relationship to fractions
and to the multiplication
and division of whole
numbers. Use the ratios to
solve real-world and
mathematical problems.
6.1.2.1 Identify and use
ratios to compare
quantities; understand
that somparing
quantities using ratios is
not the same as
comparing quantities
using subtraction.
(16.4) Write and solve
proportions
Can I identify and use
ratio to represent
answers to real-world
problems (ratios may
be represented using
any of the following:
1/4, 1 to 4, 1:4, 1 out of
4, or 25%)?
6.1.2 Understand the
concept of ratio and its
relationship to fractions
and to the multiplication
and division of whole
numbers. Use the ratios to
solve real-world and
6.1.2.2 Apply the
relationship between
ratio, equivalent
fractions and percents
to solve problems in
various contexts,
including those
(16.5) Problem solving- Write
and equation
Can I use my
understanding of
ratios, equivalent
fractions, and percents
to solve real-world
problems?
Assessments
problems (ratios may
be represented using
any of the following:
1/4, 1 to 4, 1:4, 1 out of
4, or 25%)?
Can
I find a rate for ratios
of quantities with
different units?
25
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
mathematical problems.
involving mixtures and
concentrations
6.1.2 Understand the
concept of ratio and its
relationship to fractions
and to the multiplication
and division of whole
numbers. Use the ratios to
solve real-world and
mathematical problems.
6.1.2.2 Apply the
relationship between
ratio, equivalent
fractions and percents
to solve problems in
various contexts,
including those
involving mixtures and
concentrations
(16.6) Scale drawings
Can I use my
understanding of
ratios, equivalent
fractions, and percents
to solve real-world
problems?
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.3 Understand that
percent represents parts
out of 100 and ratios to
100
(17.1) Percent as a ratio
Can I work wirh
percents that are from
1-100 and ratios to
100?
6.1.1 Read, write, represent
and compare positive
6.1.1.4 Determine
equivalances among
(17.2) Relate fraction,
decimals, and percents
Can I determine if a
fraction, decimal, or
Assessments
26
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Date: 2/11/16
Grade Level:
6th
Standards Addressed
Skills/Benchmarks
Content
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
fractions, decimals, and
percents; select among
these representations to
solve problems
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.4 Determine
equivalances among
fractions, decimals, and
percents; select among
these representations to
solve problems
(17.3) Compare and order
fractions, decimals, and
percents
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
6.1.1.4 Determine
equivalances among
fractions, decimals, and
percents; select among
these representations to
(17.5) Problem Solving- Use
proportions
Objectives
Assessments
percent are equal to on
another?
Can I determine if a
fraction, decimal, or
percent are equal to on
another?
27
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
products of factors; use
these representations in
real-world and
mathematical situations.
solve problems
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.3Multiply and divide
decimals, fractions and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers
6.1.1.3 Understand that
percent represents parts
out of 100 and ratios to
100
6.1.3.3 Calculate the
percent of a number
and determine what
percent one number is
of another number to
solve problems in
various contexts.
(18.1) Find a percent of a
number
Can I work wirh
percents that are from
1-100 and ratios to
100?
Can I calculate the
percent of a number to
solve real-world math
problems such as
finding taxes, tips, or
discount items when
percents are not less
than one, or 100, 110,
125, 150, or 200?
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
6.1.1.3 Understand that
percent represents parts
out of 100 and ratios to
(18.2) Find a percent
Can I work wirh
percents that are from
1-100 and ratios to
Assessments
28
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.3Multiply and divide
decimals, fractions and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers
100
6.1.3.3 Calculate the
percent of a number
and determine what
percent one number is
of another number to
solve problems in
various contexts.
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.3Multiply and divide
6.1.1.3 Understand that
percent represents parts
out of 100 and ratios to
100
6.1.3.3 Calculate the
percent of a number
and determine what
percent one number is
of another number to
solve problems in
Content
Objectives
Assessments
100?
Can
I calculate the percent
of a number to solve
real-world math
problems such as
finding taxes, tips, or
discount items when
percents are not less
than one, or 100, 110,
125, 150, or 200?
(18.3) Find a number when a
percent is known
Can I work wirh
percents that are from
1-100 and ratios to
100?
Can
I calculate the percent
of a number to solve
real-world math
problems such as
finding taxes, tips, or
discount items when
percents are not less
29
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
decimals, fractions and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers
various contexts.
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.3Multiply and divide
decimals, fractions and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers
6.1.1.3 Understand that
percent represents parts
out of 100 and ratios to
100
6.1.3.3 Calculate the
percent of a number
and determine what
percent one number is
of another number to
solve problems in
various contexts.
Content
Objectives
Assessments
than one, or 100, 110,
125, 150, or 200?
(18.4) Problem solvingChoose a method
Can I work wirh
percents that are from
1-100 and ratios to
100?
Can I calculate the
percent of a number to
solve real-world math
problems such as
finding taxes, tips, or
discount items when
percents are not less
than one, or 100, 110,
125, 150, or 200?
30
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.3.3 Calculate the
percent of a number
and determine what
percent one number is
of another number to
solve problems in
various contexts.
(18.5) Percent relationships
Can I calculate the
percent of a number to
solve real-world math
problems such as
finding taxes, tips, or
discount items when
percents are not less
than one, or 100, 110,
125, 150, or 200?
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.3.3 Calculate the
percent of a number
and determine what
percent one number is
of another number to
solve problems in
various contexts.
(18.6) Simple interest
Can I calculate the
percent of a number to
solve real-world math
problems such as
finding taxes, tips, or
discount items when
percents are not less
than one, or 100, 110,
125, 150, or 200?
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
6.1.3.3 Calculate the
percent of a number
and determine what
percent one number is
(18.7) Make a table
Can I calculate the
percent of a number to
solve real-world math
problems such as
Assessments
31
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
of another number to
solve problems in
various contexts.
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.3Multiply and divide
decimals, fractions and
mixed numbers; solve realworld and mathematical
problems using arithmetic
with positive rational
numbers
6.1.1.3 Understand that
percent represents parts
out of 100 and ratios to
100
6.1.3.3 Calculate the
percent of a number
and determine what
percent one number is
of another number to
solve problems in
various contexts.
Content
Objectives
Assessments
finding taxes, tips, or
discount items when
percents are not less
than one, or 100, 110,
125, 150, or 200?
(18.8) Sales tax and discounts
Can I work wirh
percents that are from
1-100 and ratios to
100?
Can I calculate the
percent of a number to
solve real-world math
problems such as
finding taxes, tips, or
discount items when
percents are not less
than one, or 100, 110,
125, 150, or 200?
32
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Date: 2/11/16
Grade Level:
6th
Standards Addressed
Skills/Benchmarks
Content
Objectives
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.1 Locate positive
rational numbers on a
number line and plot
pairs of positive rational
numbers on a
coordinate grid
(22.1) Rational numbers
Can I define a positive
rational number as a
whole number,
decimal, fraction, or
mixed number that has
a decimal that does not
repeat?
Can I plot positive
rational numbers on a
number line?
Can I plot positive
rational numbers on a
coordinate grid that
has the same scale and
items that are located
on either the x- or yaxis?
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
6.1.1.2 Compare
positive rational
numbers represented in
various forms. Use the
symbols <, =, and >
(22.2) Compare and order
rational numbers
Can I compare
fractions, decimals,
percents, mixed
numbers, and
improper fractions
using <, =, > symbols?
Assessments
33
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
real-world and
mathematical situations.
Curriculum Map
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.1 Locate positive
rational numbers on a
number line and plot
pairs of positive rational
numbers on a
coordinate grid
(22.3) Rational numbers and
their properties
Can I define a positive
rational number as a
whole number,
decimal, fraction, or
mixed number that has
a decimal that does not
repeat?
Can I plot positive
rational numbers on a
number line?
Can I plot positive
rational numbers on a
coordinate grid that
has the same scale and
items that are located
on either the x- or yaxis?
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
6.1.1.1 Locate positive
rational numbers on a
number line and plot
pairs of positive rational
numbers on a
(22.4) Order of operations with
rational numbers
Can I define a positive
rational number as a
whole number,
decimal, fraction, or
mixed number that has
34
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
coordinate grid
6.1.1 Read, write, represent
and compare positive
rational numbers expressed
as fractions, decimals,
percents, and rations, write
positive integers as
products of factors; use
these representations in
real-world and
mathematical situations.
6.1.1.1 Locate positive
rational numbers on a
number line and plot
pairs of positive rational
numbers on a
coordinate grid
Content
Objectives
Assessments
a decimal that does not
repeat?
Can I plot positive
rational numbers on a
number line?
Can I plot positive
rational numbers on a
coordinate grid that
has the same scale and
items that are located
on either the x- or yaxis?
(22.5) Problem solvingApplication
Can I define a positive
rational number as a
whole number,
decimal, fraction, or
mixed number that has
a decimal that does not
repeat?
Can I plot positive
rational numbers on a
number line?
Can I plot positive
rational numbers on a
coordinate grid that
35
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
has the same scale and
items that are located
on either the x- or yaxis?
Curriculum Map
6.2.1 Recognize and
represent relationships
between varying quantities;
translate from one
representation to another;
use patterns, tables, and
rules to solve real-world
and mathematical problems
6.2.1.1 Understand that
a variable can be used
to represent a quantity
that can change, often
in relationship to
another changing
quantity. Use variables
in various contexts.
(1.7) Variables and
Expressions
6.2.1 Recognize and
represent relationships
between varying quantities;
translate from one
representation to another;
use patterns, tables, and
rules to solve real-world
and mathematical problems
6.2.1.1 Understand that
a variable can be used
to represent a quantity
that can change, often
in relationship to
another changing
quantity. Use variables
in various contexts.
(12.1) Write an expression
Can I answer math
problems that have
variables given in
various ways?
(Variables that can be
multiplied are allowed
to look like the
following: 3x, xy, 3 x 4,
and 3(4).)
6.2.1 Recognize and
represent relationships
6.2.1.1 Understand that
a variable can be used
(12.2) Write an equation
Can I answer math
problems that have
36
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
between varying quantities;
translate from one
representation to another;
use patterns, tables, and
rules to solve real-world
and mathematical problems
to represent a quantity
that can change, often
in relationship to
another changing
quantity. Use variables
in various contexts.
6.2.1 Recognize and
represent relationships
between varying quantities;
translate from one
representation to another;
use patterns, tables, and
rules to solve real-world
and mathematical problems
6.2.1.1 Understand that
a variable can be used
to represent a quantity
that can change, often
in relationship to
another changing
quantity. Use variables
in various contexts.
6.2.3.2 Solve equations
involving positive
rational numbers using
number sense,
properties of arithmetic
and the idea of
maintaining equality on
both sides of the
equation. Interpret a
solution in the original
Content
Objectives
Assessments
variables given in
various ways?
(Variables that can be
multiplied are allowed
to look like the
following: 3x, xy, 3 x 4,
and 3(4).)
(12.3) Solve addition and
subtraction equations
Can I answer math
problems that have
variables given in
various ways?
(Variables that can be
multiplied are allowed
to look like the
following: 3x, xy, 3 x 4,
and 3(4).)
Can I
solve a math problem
involving positive
rational numbers in
which both sides of the
equation remain
equal?
37
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
(12.4) Solve multiplication and
division equations
Can I answer math
problems that have
variables given in
various ways?
(Variables that can be
multiplied are allowed
to look like the
following: 3x, xy, 3 x 4,
and 3(4).)
Can I
solve real-world
problems involving
variables, inequalities,
and positive rational
number?
Can I solve a math
problem involving
positive rational
numbers in which both
sides of the equation
remain equal?
Assessments
context and assess the
reasonableness of the
results.
6.2.1 Recognize and
represent relationships
between varying quantities;
translate from one
representation to another;
use patterns, tables, and
rules to solve real-world
and mathematical problems
Curriculum Map
6.2.1.1 Understand that
a variable can be used
to represent a quantity
that can change, often
in relationship to
another changing
quantity. Use variables
in various contexts.
6.2.3.1 Represent realworld or mathematical
situations using
equations and
inequalities involving
variables and positive
rational numbers.
6.2.3.2 Solve equations
involving positive
rational numbers using
number sense,
properties of arithmetic
and the idea of
maintaining equality on
38
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
both sides of the
equation. Interpret a
solution in the original
context and assess the
reasonableness of the
results.
6.2.1 Recognize and
represent relationships
between varying quantities;
translate from one
representation to another;
use patterns, tables, and
rules to solve real-world
and mathematical problems
Curriculum Map
6.2.1.1 Understand that
a variable can be used
to represent a quantity
that can change, often
in relationship to
another changing
quantity. Use variables
in various contexts.
6.2.3.2 Solve equations
involving positive
rational numbers using
number sense,
properties of arithmetic
and the idea of
maintaining equality on
both sides of the
equation. Interpret a
solution in the original
context and assess the
(12.5) Problem solvingEquations
Can I answer math
problems that have
variables given in
various ways?
(Variables that can be
multiplied are allowed
to look like the
following: 3x, xy, 3 x 4,
and 3(4).)
Can I
solve a math problem
involving positive
rational numbers in
which both sides of the
equation remain
equal?
39
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
reasonableness of the
results.
6.2.1 Recognize and
represent relationships
between varying quantities;
translate from one
representation to another;
use patterns, tables, and
rules to solve real-world
and mathematical problems
Curriculum Map
6.2.1.2 Represent the
relationship between
two varying quantities
with function rules,
graphs, and tables;
translate between any
two of these
representations 6.1.1.1
Locate positive rational
numbers on a number
line and plot pairs of
positive rational
numbers on a
coordinate grid
(13.1) Graph points in the
coordinate plane
Can I define a positive
rational number as a
whole number,
decimal, fraction, or
mixed number that has
a decimal that does not
repeat?
Can I plot positive
rational numbers on a
number line?
Can I plot positive
rational numbers on a
coordinate grid that
has the same scale and
items that are located
on either the x- or yaxis?
Can I
find the relationship
between two quantities
by using a function
rule, graphs, or tables?
40
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
6.2.1 Recognize and
represent relationships
between varying quantities;
translate from one
representation to another;
use patterns, tables, and
rules to solve real-world
and mathematical problems
6.2.1.2 Represent the
relationship between
two varying quantities
with function rules,
graphs, and tables;
translate between any
two of these
representations
(13.2) Sequences and patterns
Can I find the
relationship between
two quantities by using
a function rule, graphs,
or tables?
6.2.1 Recognize and
represent relationships
between varying quantities;
translate from one
representation to another;
use patterns, tables, and
rules to solve real-world
and mathematical problems
6.2.1.2 Represent the
relationship between
two varying quantities
with function rules,
graphs, and tables;
translate between any
two of these
representations 6.2.3.2
Solve equations
involving positive
rational numbers using
number sense,
properties of arithmetic
and the idea of
maintaining equality on
both sides of the
equation. Interpret a
(13.3) Functions
Can I find the
relationship between
two quantities by using
a function rule, graphs,
or tables? Can I solve
a math problem
involving positive
rational numbers in
which both sides of the
equation remain
equal?
Assessments
41
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
solution in the original
context and assess the
reasonableness of the
results.
6.2.1 Recognize and
represent relationships
between varying quantities;
translate from one
representation to another;
use patterns, tables, and
rules to solve real-world
and mathematical problems
Curriculum Map
6.2.1.2 Represent the
relationship between
two varying quantities
with function rules,
graphs, and tables;
translate between any
two of these
representations
6.2.3.2 Solve equations
involving positive
rational numbers using
number sense,
properties of arithmetic
and the idea of
maintaining equality on
both sides of the
equation. Interpret a
solution in the original
context and assess the
reasonableness of the
(13.4) Graphs and functions
Can I find the
relationship between
two quantities by using
a function rule, graphs,
or tables? Can I solve
a math problem
involving positive
rational numbers in
which both sides of the
equation remain
equal?
42
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
results.
Curriculum Map
6.2.1 Recognize and
represent relationships
between varying quantities;
translate from one
representation to another;
use patterns, tables, and
rules to solve real-world
and mathematical problems
6.2.1.2 Represent the
relationship between
two varying quantities
with function rules,
graphs, and tables;
translate between any
two of these
representations
6.2.3.2 Solve equations
involving positive
rational numbers using
number sense,
properties of arithmetic
and the idea of
maintaining equality on
both sides of the
equation. Interpret a
solution in the original
context and assess the
reasonableness of the
results.
(13.5) Problem solving- Use
functions and graphs
Can I find the
relationship between
two quantities by using
a function rule, graphs,
or tables? Can I solve
a math problem
involving positive
rational numbers in
which both sides of the
equation remain
equal?
6.2.2 Use properties of
arithmetic to generate
6.2.2.1 Apply the
associative,
(1.8) Use addition properties
(2.6) Use multiplication
Can I use the
associative,
43
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
equivalent numeric
expressions and evaluate
expressions involving
positive rational numbers
communitive, and
distributive properties
and order of operations
to generate equivalent
expressions and to solve
problems involving
positive rational
numbers.
properties
communitive, and
distributive properties
and order of
operations to solve
problems involving
positive rational
numbers?
6.2.2 Use properties of
arithmetic to generate
equivalent numeric
expressions and evaluate
expressions involving
positive rational numbers
6.2.2.1 Apply the
associative,
communitive, and
distributive properties
and order of operations
to generate equivalent
expressions and to solve
problems involving
positive rational
numbers.
(23.1) Expressions with
rational numbers
Can I use the
associative,
communitive, and
distributive properties
and order of
operations to solve
problems involving
positive rational
numbers?
6.2.2 Use properties of
arithmetic to generate
equivalent numeric
expressions and evaluate
expressions involving
6.2.2.1 Apply the
associative,
communitive, and
distributive properties
and order of operations
to generate equivalent
(23.2) Write expressions with
rational numbers
Can I use the
associative,
communitive, and
distributive properties
and order of
operations to solve
Assessments
44
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
positive rational numbers
expressions and to solve
problems involving
positive rational
numbers.
6.2.2 Use properties of
arithmetic to generate
equivalent numeric
expressions and evaluate
expressions involving
positive rational numbers
6.2.2.1 Apply the
associative,
communitive, and
distributive properties
and order of operations
to generate equivalent
expressions and to solve
problems involving
positive rational
numbers. 6.2.3.2 Solve
equations involving
positive rational
numbers using number
sense, properties of
arithmetic and the idea
of maintaining equality
on both sides of the
equation. Interpret a
solution in the original
context and assess the
reasonableness of the
Content
Objectives
Assessments
problems involving
positive rational
numbers?
(23.3) Equations with rational
numbers
Can I use the
associative,
communitive, and
distributive properties
and order of
operations to solve
problems involving
positive rational
numbers?
Can I solve a math
problem involving
positive rational
numbers in which both
sides of the equation
remain equal?
45
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
results.
Curriculum Map
6.2.2 Use properties of
arithmetic to generate
equivalent numeric
expressions and evaluate
expressions involving
positive rational numbers
6.2.2.1 Apply the
associative,
communitive, and
distributive properties
and order of operations
to generate equivalent
expressions and to solve
problems involving
positive rational
numbers.
(23.4) Problem solving- Guess
and check
Can I use the
associative,
communitive, and
distributive properties
and order of
operations to solve
problems involving
positive rational
numbers?
6.2.3 Understand and
interpret equations and
inequalities involving
variables and positive
rational numbers. Use
equations and inequalities
to reapresent real-world
and mathematical
problems; use the idea of
maintaining equality to
solve equations. Interpret
solutions in the original
6.2.3.1 Represent realworld or mathematical
situations using
equations and
inequalities involving
variables and positive
rational numbers
6.2.3.1 Represent realworld or mathematical
situations using
equations and
inequalities involving
variables and positive
(12.4) Algebraic thinking:
Exploring Inequalties
(23.5) Inequalities
Can I solve real-world
problems involving
variables, inequalities,
and positive rational
number?
46
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
context.
rational numbers.
6.3.1 Calculate perimeter,
area, surface area, and
volume of two- and threedimensional figures to solve
real-world and
mathematical problems.
6.3.1.2 Calculate the
area of quadrilaterals.
Quadrilaterals include
squares, rectangles,
rhombuses,
parallellograms,
trapezoids, and kites.
When formulas are
used, be able to explain
why they are valid
(8.6) Perimeter and area
6.3.1 Calculate perimeter,
area, surface area, and
volume of two- and threedimensional figures to solve
real-world and
mathematical problems.
6.3.1.2 Calculate the
area of quadrilaterals.
Quadrilaterals include
squares, rectangles,
rhombuses,
parallellograms,
trapezoids, and kites.
When formulas are
used, be able to explain
why they are valid
(8.7) Perimeter and area of
rectangles and squares
6.3.1 Calculate perimeter,
area, surface area, and
6.3.1.3 Estimate the
perimeter and area of
(20.1) Perimeter of polygons
Objectives
Assessments
Can I estimate the
perimeter and area of
47
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Date: 2/11/16
Grade Level:
6th
Standards Addressed
Skills/Benchmarks
Content
Objectives
volume of two- and threedimensional figures to solve
real-world and
mathematical problems.
irregular figures on a
grid when they cannot
be decomposed into
common figures and use
correct units, such as
cm and cm (squared)
6.3.1 Calculate perimeter,
area, surface area, and
volume of two- and threedimensional figures to solve
real-world and
mathematical problems.
6.3.1.2 Calculate the
area of quadrilaterals.
Quadrilaterals include
squares, rectangles,
rhombuses,
parallellograms,
trapezoids, and kites.
When formulas are
used, be able to explain
why they are valid
(20.4) Area of a parallelogram
Can I caculate the area
of triangles and
quadrilaterals such as
squares, rectangles,
rhombuses,
parallelograms,
trapezoids, and kites?
6.3.1 Calculate perimeter,
area, surface area, and
volume of two- and threedimensional figures to solve
real-world and
mathematical problems.
6.3.1.2 Calculate the
area of quadrilaterals.
Quadrilaterals include
squares, rectangles,
rhombuses,
parallellograms,
trapezoids, and kites.
When formulas are
(20.6) Squares and square roots
Can I caculate the area
of triangles and
quadrilaterals such as
squares, rectangles,
rhombuses,
parallelograms,
trapezoids, and kites?
Assessments
irregular figures on a
grid?
48
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
used, be able to explain
why they are valid
Curriculum Map
6.3.2 Understand and use
the realtionship between
angles and geometric
figures
6.3.2.1 Solve problems
using the relationships
between the angles
formed by intersecting
lines
(14.1) Basic concepts
Can I calculate the
missing angle of a
complementary or
supplementary pair of
angles in which one
angle is already given?
Can I solve math
problems by knowing
the relationship that
the intersecting lines
have with eachother?
6.3.2 Understand and use
the realtionship between
angles and geometric
figures
6.3.2.1 Solve problems
using the relationships
between the angles
formed by intersecting
lines
(14.2) Angle pairs
Can I calculate the
missing angle of a
complementary or
supplementary pair of
angles in which one
angle is already given?
Can I solve math
problems by knowing
the relationship that
the intersecting lines
49
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
have with eachother?
Curriculum Map
6.3.2 Understand and use
the realtionship between
angles and geometric
figures
6.3.2.1 Solve problems
using the relationships
between the angles
formed by intersecting
lines
(14.3) Transversal angles
Can I calculate the
missing angle of a
complementary or
supplementary pair of
angles in which one
angle is already given?
Can I solve math
problems by knowing
the relationship that
the intersecting lines
have with eachother?
6.3.2 Understand and use
the realtionship between
angles and geometric
figures
6.3.2.2 Determine
missing angle measures
in a triangle using the
fact that the sum of the
interior angles of a
triangle is 1800 degrees.
Use models of triangles
to illustrate this fact.
(14.4) Measure, draw, and
classify angles
Can I find the missing
angle of a triangle by
knowing that the angle
sum is 180 degrees?
6.3.2 Understand and use
the realtionship between
angles and geometric
6.3.2.2 Determine
missing angle measures
in a triangle using the
(14.5) Triangles and angle
sums
Can I find the missing
angle of a triangle by
knowing that the angle
50
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
figures
fact that the sum of the
interior angles of a
triangle is 1800 degrees.
Use models of triangles
to illustrate this fact.
6.3.2 Understand and use
the realtionship between
angles and geometric
figures
6.3.2.3 Develop and use
formulas for the sums of
the interior anfles of
polygons by
decomposing them into
triangles
(14.6) Quadrilaterals and angle
sums
Can I find the angle
sums of polygons that
have 3 to 12 sides?
6.3.1 Calculate perimeter,
area, surface area, and
volume of two- and threedimensional figures to solve
real-world and
mathematical problems.
6.3.1.1 Calculate the
surface are and volumes
of prisms and use
appropriate units, such
as cm (cubed). Justify
the formulas used.
Justification may
involve
decomposition,nets, or
other models
(21.1) Solid figures
Can I calculate the
surface area of a
prism?
Can I calculate the
volume of a prism?
6.3.1 Calculate perimeter,
area, surface area, and
6.3.1.1 Calculate the
surface are and volumes
(21.2) 2-dimensional views of
solid figures
Can I calculate the
surface area of a
Assessments
sum is 180 degrees?
51
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Date: 2/11/16
Grade Level:
6th
Standards Addressed
Skills/Benchmarks
volume of two- and threedimensional figures to solve
real-world and
mathematical problems.
of prisms and use
appropriate units, such
as cm (cubed). Justify
the formulas used.
Justification may
involve
decomposition,nets, or
other models
6.3.1 Calculate perimeter,
area, surface area, and
volume of two- and threedimensional figures to solve
real-world and
mathematical problems.
6.3.3 Choose appropriate
units of measurement and
use ratios to convert within
measurement systems to
solve real-world and
mathematical problems.
6.3.1.1 Calculate the
surface are and volumes
of prisms and use
appropriate units, such
as cm (cubed). Justify
the formulas used.
Justification may
involve
decomposition,nets, or
other models 6.3.3.2
Estimate weights,
capacities, and
geometric
measurements using
benchmaorks in
measurement systems
Content
Objectives
Assessments
prism?
Can I calculate the
volume of a prism?
(21.3) Estimate volume
Can I calculate the
surface area of a
prism?
Can I calculate the
volume of a prism?
Can I estimate units of
weight, volume,
geometric
measurement by using
benchmarks of each
unit?
52
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
with appropriate units.
Curriculum Map
6.3.1 Calculate perimeter,
area, surface area, and
volume of two- and threedimensional figures to solve
real-world and
mathematical problems.
6.3.1.1 Calculate the
surface are and volumes
of prisms and use
appropriate units, such
as cm (cubed). Justify
the formulas used.
Justification may
involve
decomposition,nets, or
other models
(21.4) Volume of rectangular
prisms
Can I calculate the
surface area of a
prism?
Can I calculate the
volume of a prism?
6.3.1 Calculate perimeter,
area, surface area, and
volume of two- and threedimensional figures to solve
real-world and
mathematical problems.
6.3.1.1 Calculate the
surface are and volumes
of prisms and use
appropriate units, such
as cm (cubed). Justify
the formulas used.
Justification may
involve
decomposition,nets, or
other models
(21.5) Surface area
Can I calculate the
surface area of a
prism?
Can I calculate the
volume of a prism?
6.3.1 Calculate perimeter,
area, surface area, and
6.3.1.1 Calculate the
surface are and volumes
(21.6) Volume of other solids
Can I calculate the
surface area of a
53
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Date: 2/11/16
Grade Level:
6th
Standards Addressed
Skills/Benchmarks
Content
Objectives
volume of two- and threedimensional figures to solve
real-world and
mathematical problems.
of prisms and use
appropriate units, such
as cm (cubed). Justify
the formulas used.
Justification may
involve
decomposition,nets, or
other models
6.3.1 Calculate perimeter,
area, surface area, and
volume of two- and threedimensional figures to solve
real-world and
mathematical problems.
6.3.1.1 Calculate the
surface are and volumes
of prisms and use
appropriate units, such
as cm (cubed). Justify
the formulas used.
Justification may
involve
decomposition,nets, or
other models
(21.7) Problem solving- use a
formula
Can I calculate the
surface area of a
prism?
Can I calculate the
volume of a prism?
6.4.1 Use probabilities to
solve real-world and
mathematical problems;
represent probablities usinf
fractions, decimals, and
6.4.1.1 Determine the
sample space (set of
possible outcomes) for a
given experiment and
determine which
members of the sample
(19.1) Possible outcomes
Can I calculate all the
possible outcomes for a
given experiment by
the use of a tree
diagram, table, or
Assessments
prism?
Can I calculate the
volume of a prism?
54
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Curriculum Map
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
percents
space are related to
certain events. Sample
space may be
determined by the use
of tree diagrams, tables
or pictorial
representations.
6.4.1 Use probabilities to
solve real-world and
mathematical problems;
represent probablities usinf
fractions, decimals, and
percents
6.4.1.2 Determine the
probablity of an event
using the ratio between
the size of the sample
space; represent
probabilties as percents,
fractions, and decimals
between 0 and 1
inclusive. Understand
that probabilities
measure likelihood.
6.4.1.4 Calculate
experimental
probabilities from
experiments; represent
them as percents,
fractions, and decimals
between 0 and 1
Content
Objectives
Assessments
picture?
(19.2) Thoeretical porbability
Can I determine the
probability of an event
and represent it with
percents, fractions, and
decimals between 0
and 1.
Can I calculate the
experimental
probabilities from a
given experiment? Can
I represent my
experimental
probabilities as
percents, fractions, and
decimals between 0
and 1 when the sample
space for the
experiment is no more
55
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
inclusive. Use
experimental
probabilities to make
predictions when actual
probabilities are
unknown.
6.4.1 Use probabilities to
solve real-world and
mathematical problems;
represent probablities usinf
fractions, decimals, and
percents
Curriculum Map
6.4.1.2 Determine the
probablity of an event
using the ratio between
the size of the sample
space; represent
probabilties as percents,
fractions, and decimals
between 0 and 1
inclusive. Understand
that probabilities 6.4.1.4
Calculate experimental
probabilities from
experiments; represent
them as percents,
fractions, and decimals
between 0 and 1
inclusive. Use
experimental
probabilities to make
Objectives
Assessments
than 100?
Can I use
the experimental
probability to make
predictions when the
actual probabilities are
known?
(19.3) Experimental probability
Can I determine the
probability of an event
and represent it with
percents, fractions, and
decimals between 0
and 1.
Can I calculate the
experimental
probabilities from a
given experiment? Can
I represent my
experimental
probabilities as
percents, fractions, and
decimals between 0
and 1 when the sample
space for the
experiment is no more
than 100?
Can I use
56
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
predictions when actual
probabilities are
unknown.measure
likelihood
6.4.1 Use probabilities to
solve real-world and
mathematical problems;
represent probablities usinf
fractions, decimals, and
percents
Curriculum Map
6.4.1.2 Determine the
probablity of an event
using the ratio between
the size of the sample
space; represent
probabilties as percents,
fractions, and decimals
between 0 and 1
inclusive. Understand
that probabilities
measure likelihood
6.4.1.4 Calculate
experimental
probabilities from
experiments; represent
them as percents,
fractions, and decimals
between 0 and 1
inclusive. Use
experimental
Objectives
Assessments
the experimental
probability to make
predictions when the
actual probabilities are
known?
(19.4) Compound events
Can I determine the
probability of an event
and represent it with
percents, fractions, and
decimals between 0
and 1.
Can I calculate the
experimental
probabilities from a
given experiment? Can
I represent my
experimental
probabilities as
percents, fractions, and
decimals between 0
and 1 when the sample
space for the
experiment is no more
than 100?
Can I use
the experimental
57
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
probabilities to make
predictions when actual
probabilities are
unknown.
6.4.1 Use probabilities to
solve real-world and
mathematical problems;
represent probablities usinf
fractions, decimals, and
percents
Curriculum Map
6.4.1.3 Perform
experiments for
situations in which the
probabilities are known,
compare the resulting
relative frequencies
with the known
probabilities; know that
there may be
differences. 6.4.1.4
Calculate experimental
probabilities from
experiments; represent
them as percents,
fractions, and decimals
between 0 and 1
inclusive. Use
experimental
probabilities to make
predictions when actual
probabilities are
Objectives
Assessments
probability to make
predictions when the
actual probabilities are
known?
(19.5) Problem solving- Use
methods
Can I perform
experiments to test the
experimental
probability of a given
situation and how they
relate to the actual, or
theoretical probability
of the same situation?
Can I calculate the
experimental
probabilities from a
given experiment? Can
I represent my
experimental
probabilities as
percents, fractions, and
decimals between 0
and 1 when the sample
space for the
experiment is no more
than 100?
Can I use
58
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
unknown.
6.4.1 Use probabilities to
solve real-world and
mathematical problems;
represent probablities usinf
fractions, decimals, and
percents
Curriculum Map
6.4.1.3 Perform
experiments for
situations in which the
probabilities are known,
compare the resulting
relative frequencies
with the known
probabilities; know that
there may be
differences. 6.4.1.4
Calculate experimental
probabilities from
experiments; represent
them as percents,
fractions, and decimals
between 0 and 1
inclusive. Use
experimental
probabilities to make
predictions when actual
Objectives
Assessments
the experimental
probability to make
predictions when the
actual probabilities are
known?
(19.6) Combinations and
permutations
Can I perform
experiments to test the
experimental
probability of a given
situation and how they
relate to the actual, or
theoretical probability
of the same situation?
Can I calculate the
experimental
probabilities from a
given experiment? Can
I represent my
experimental
probabilities as
percents, fractions, and
decimals between 0
and 1 when the sample
space for the
experiment is no more
59
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
probabilities are
unknown.
6.4.1 Use probabilities to
solve real-world and
mathematical problems;
represent probablities usinf
fractions, decimals, and
percents
Curriculum Map
6.4.1.3 Perform
experiments for
situations in which the
probabilities are known,
compare the resulting
relative frequencies
with the known
probabilities; know that
there may be
differences. 6.4.1.4
Calculate experimental
probabilities from
experiments;
Objectives
Assessments
than 100?
Can I use
the experimental
probability to make
predictions when the
actual probabilities are
known?
(19.7) Make predictions
Can I perform
experiments to test the
experimental
probability of a given
situation and how they
relate to the actual, or
theoretical probability
of the same situation?
Can I calculate the
experimental
probabilities from a
given experiment? Can
I represent my
experimental
probabilities as
percents, fractions, and
decimals between 0
and 1 when the sample
space for the
60
Tracy Area Public Schools - Curriculum Map
Subject Area: Math
Timeline
Standards Addressed
Date: 2/11/16
Grade Level:
6th
Skills/Benchmarks
Content
Objectives
Assessments
experiment is no more
than 100?
Can I use
the experimental
probability to make
predictions when the
actual probabilities are
known?
Curriculum Map
61