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Pacing Guide
GRADE 6 MATHEMATICS__ SCOS
Course Name
TOPICS/CONCEPTS
NUMBER PATTERNS AND ALGEBRA
(Chapter 1)
 Prime factors, exponents
 Order of operations
 Scientific notation
STATISTICS AND GRAPHS
(Chapter 2)
 Collect and analyze real data
ADDING AND SUBTRACTING DECIMALS
(Chapter 3)
 Operations with decimals
 Emphasis on estimation before calculation
MULTIPLYING AND DIVIDING
DECIMALS (Chapter 4)
 Operations with decimals
 Emphasis on estimation before calculation
GRADING
PERIOD
CURRICULUM OBJECTIVES
TIME
10
1.04, 1.07, 2.01, 2.02, 5.01, 5.02, 5.03
FLUENCY: 1.05
MAINTAIN:
 Number properties
10
1.07, 4.06
MAINTAIN:
 Bar graphs and leaf plots
 Median, mode, and range
1.01, 1.03, 1.04, 1.06, 1.07, 5.02
MAINTAIN:
 Addition and subtraction of non-negative rational numbers
1
1
10
1
10
1.01, 1.04, 1.06, 1.07, 2.01, 2.02, 5.02
FLUENCY: 1.04
MAJOR: 1.04
5
1.01, 1.03, 1.04, 1.05, 1.06, 1.07, 2.01, 2.02, 4.06, 5.01, 5.02, 5.03
FLUENCY: 1.04, 1.05
MAJOR: 1.04
 Students will solve relevant and authentic problems using
appropriate technology and apply these concepts as well as
those developed in earlier years.
MAINTAIN:
 Number properties
 Bar graphs and leaf plots
 Median, mode, range
 Addition/subtraction of non-negative rational numbers
1
SPIRAL REVIEW/ASSESS
1
1
45 Days
FRACTIONS AND DECIMALS (Chapter 5)
 Factors and multiples
 Compare and order
 Conversion and equivalence
ADDING AND SUBTRACTING
FRACTIONS (Chapter 6)
 Rounding
 Mixed fractions and operations
 Unlike denominators
MULTIPLYING AND DIVIDING
FRACTIONS (Chapter 7)
 Operations with Mixed Fractions
ALGEBRA: INTEGERS (Chapter 8)
 Focus on negative integers and rational
Numbers and operations
 Coordinate plane
10
1.04, 1.05, 1.06, 1.07
FLUENCY: 1.04, 1.05
10
1.04, 1.05, 1.06, 1.07, 5.02
FLUENCY: 1.04, 1.05
10
1.04, 1.07, 5.02
FLUENCY: 1.04
MAJOR: 1.04
1.01, 1.03, 1.04, 1.07, 3.01, 3.04
FLUENCY: 1.04
MAJOR: 1.01
MAINTAIN:
 Addition and subtraction of non-negative rational numbers
2
2
2
10
2
5
SPIRAL REVIEW/ASSESS
1.01, 1.03, 1.04, 1.05, 1.06, 1.07, 3.01, 3.02, 3.04, 5.02
FLUENCY: 1.04, 1.05
MAJOR: 1.01, 1.04
 Students will solve relevant and authentic problems using
appropriate technology and apply these concepts as well as
those developed in earlier years.
MAINTAIN:
 Addition /subtraction of non-negative rational numbers
2
45 Days
ALGEBRA: SOLVING EQUATIONS
(Chapter 9)
 Properties
 Solving equations and inequalities
 Functions: Linear, Nonlinear
 Graphing, tables, evaluating
RATIO, PROPORTION, AND PERCENT
15
1.04, 1.07, 5.01, 5.02, 5.03, 5.04
FLUENCY: 1.04
MAJOR: 5.03
10
1.02, 1.04, 1.07
3
3
2
(Chapter 10)
 Focus on percents
PROBABILITY
(Chapter 11)
FLUENCY: 1.04
MAJOR: 1.02
1.04, 1.07, 4.01, 4.02, 4.03, 4.04, 4.05, 4.06
FLUENCY: 1.04, 4.01
MAJOR: 4.01, 4.02, 4.03, 4.04, 4.05
1.02, 1.04, 1.07, 4.01, 4.02, 4.03, 4.04, 4.05, 4.06, 5.01, 5.02, 5.03,
5.04
FLUENCY: 1.04, 4.01
MAJOR: 1.02, 4.01, 4.02, 4.03, 4.04, 4.05, 5.03
 Students will solve relevant and authentic problems using
appropriate technology and apply these concepts as well as
those developed in earlier years.
15
3
5
SPIRAL REVIEW/ASSESS
3
45 Days
MEASUREMENT (Chapter 12)
 Length, perimeter, circumference
 Changing units
GEOMETRY: ANGLES AND POLYGONS
(Chapter 13)
 Special angles and measures
 Symmetric, congruent, similar figures
 Transformations
 Extension: Intersection of figures in plane
GEOMETRY: MEASURING AREA AND
VOLUME (Chapter 14)
 Area, volume, surface area
 Circle and properties
SPIRAL REVIEW/ASSESS
8
1.04, 1.07, 2.01, 2.02
FLUENCY: 1.04
MAINTAIN:
 Perimeter and area
1.04, 1.07, 2.01, 3.01, 3.03, 3.04
FLUENCY: 1.04
4
9
4
8
1.02, 1.07, 2.01, 2.02, 3.01, 3.02, 5.02
MAJOR: 1.02, 1.04
MAINTAIN:
 Perimeter and area
ASSESS 1.01, 1.04, 1.07, 2.01, 2.02, 3.01, 3.02, 5.02
REVIEW ALL OBJECTIVES
FLUENCY: 1.04, 1.05, 4.01
MAJOR: 1.01, 1.02, 1.04, 3.03, 4.01, 4.03, 4.04, 4.05, 5.03
 Students will solve relevant and authentic problems using
appropriate technology and apply these concepts as well as
those developed in earlier years.
MAINTAIN:
 Addition / subtraction of non-negative numbers
4
10
4
3
 Number properties
 Perimeter and area
 Median, mode, and range
 Bar graphs and leaf plots
1.07, 3.04
FLUENCY: 1.04, 1.05, 4.01
MAJOR: 1.01, 1.02, 1.04, 3.03, 4.01, 4.03, 4.04, 4.05, 5.03
 Students will solve relevant and authentic problems using
appropriate technology and apply these concepts as well as
those developed in earlier years.
10
EXTENDED GEOMETRIC MODELING
AND ALGEBRAIC PROBLEM SOLVING
4
45 Days
4
Instructional Guide
GRADE 6 MATHEMATICS___
Course Name
TIME FRAME: FIRST GRADING PERIOD
SCOS GOALS AND OBJECTIVES
Goal 1: The learner will understand and compute
with rational numbers.
1.04 Develop FLUENCY in addition, subtraction,
multiplication, and division of non-negative rational
numbers.
(a) Analyze computational strategies.
(b) Describe the effect of operations on size.
(c) Estimate the results of computations.
(d) Judge the reasonableness of solutions.
1.05 Develop FLUENCY in the use of factors,
multiples, exponential notation, and prime
factorization.
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
estimation, calculators or computers, and paper and
pencil.
Goal 2: The learner will select and use
appropriate tools to measure two- and threedimensional figures.
2.01 Estimate and measure length, perimeter, area,
angles, weight, and mass of two- and threedimensional figures, using appropriate tools.
2.02 Solve problems involving
perimeter/circumference and area of plane figures.
Goal 5: The learner will demonstrate an
understanding of simple algebraic expressions.
5.01 Simplify algebraic expressions and verify the
results using the basic properties of rational numbers.
(a) Identity
ESSENTIAL QUESTIONS,
BENCHMARKS, AND SKILLS
NUMBER PATTERNS AND
ALGEBRA
How do patterns enable understanding
of mathematical processes?
 Simplify expressions and equations
correctly.
 Understand prime factors
ESSENTIAL TASKS,
STRATEGIES,
PROJECTS,
CONNECTIONS
ESSENTIAL
TASKS:
1. Sieve of
Erastophenes
2. Locker Problem
(CMP-Prime Time)
3. Supplement:
Scientific Notation
FLUENCY: 1.05
MAINTAIN CONCEPTS/SKILLS:
 Number properties
5
RECOMMENDED
RESOURCES
AND
ASSESSMENT
PACING: 10 Days
TEXTBOOK: Grade
6 Mathematics
(Glencoe)
Chapter 1
OTHER
RESOURCES:
1. Connected Math
Project Curriculum:
Prime Time Module
(b) Commutative
(c) Associative
(d) Distributive
(e) Order of operations
5.02 Use and evaluate algebraic expressions
5.03 Solve simple (one- and two-step) equations or
inequalities.
Goal 1: The learner will understand and compute
with rational numbers.
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
estimation, calculators or computers, and paper and
pencil.
Goal 4: The learner will understand and
determine probabilities.
4.06 Design and conduct experiments or surveys to
solve problems; report and analyze results.
Goal 1: The learner will understand and compute
with rational numbers.
1.03 Compare and order rational numbers.
1.04 Develop FLUENCY in addition, subtraction,
multiplication, and division of non-negative rational
STATISTICS AND GRAPHS
How can you design a survey that
generates relevant data? How can
surveys be useful in decision-making?
ESSENTIAL
TASKS:
1. M&M Experiment
– Which color is most
popular? The
How do you interpret data and make
company did research
decisions/conclusions based on the data? to determine people’s
Which graphical representation is best
favorite color and
suited to organize / display the data?
packaged this color
as their largest
 Student is able to effectively
percentage. Ask
communicate conclusions from
students to list their
surveys or graphical representations.
favorite color and
 Using pie charts with fractions /
predict the outcome
decimals/ percentages
of the company’s
research. Then collect
MAINTAIN CONCEPTS/SKILLS:
data by counting
 Bar graphs and Leaf plots
numbers of each
 Median, mode, and range
color from several
bags.
ADDING AND SUBTRACTING
DECIMALS
How is estimating a sum or difference
useful before computation?
6
2. Determine
favorite/most popular
color or type of car in
the parking lot.
ESSENTIAL
TASKS:
1. Use menus to
determine a cost of a
meal and change
PACING: 10 Days
TEXTBOOK:
Chapter 2
OTHER
RESOURCES:
PACING: 10 Days
TEXTBOOK:
Chapter 3
numbers.
(a) Analyze computational strategies.
(b) Describe the effect of operations on size.
(c) Estimate the results of computations.
(d) Judge the reasonableness of solutions.
1.06 Use exponential, scientific, and calculator
notation to write very large and very small numbers.
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
estimation, calculators or computers, and paper and
pencil.
Goal 5: The learner will demonstrate an
understanding of simple algebraic expressions.
5.02 Use and evaluate algebraic expressions
Goal 1: The learner will understand and compute
with rational numbers.
1.04 Develop FLUENCY in addition, subtraction,
multiplication, and division of non-negative rational
numbers.
(a) Analyze computational strategies.
(b) Describe the effect of operations on size.
(c) Estimate the results of computations.
(d) Judge the reasonableness of solutions.
1.06 Use exponential, scientific, and calculator
notation to write very large and very small numbers.
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
estimation, calculators or computers, and paper and
pencil.
Goal 2: The learner will select and use
appropriate tools to measure two- and threedimensional figures.
2.01 Estimate and measure length, perimeter, area,
angles, weight, and mass of two- and threedimensional figures, using appropriate tools.
2.02 Solve problems involving
perimeter/circumference and area of plane figures.
Goal 3: The learner will understand and use
MAINTAIN CONCEPTS/SKILLS:
 Addition and subtraction of nonnegative rational numbers
from a large bill.
OTHER
RESOURCES:
MULTIPLYING AND DIVIDING
DECIMALS
How is estimating a product and
quotient useful before computation?
ESSENTIAL
TASKS:
1. Use menus to
determine a cost of a
meal and change
from a large bill.
PACING: 10 Days
FLUENCY: 1.04
MAJOR CONCEPTS/SKILLS: 1.04
7
2. Problem solving
using authentic
problems related to
money and
investments
TEXTBOOK:
Chapter 4
OTHER
RESOURCES:
properties and relationships of geometric figures
in the coordinate plane.
3.02 Identify the radius, diameter, chord, center, and
circumference of a circle; determine the relationships
among them.
Goal 5: The learner will demonstrate an
understanding of simple algebraic expressions.
5.02 Use and evaluate algebraic expressions
1.01,1.02, 1.03, 1.04, 1.05, 1.06, 1.07, 2.01, 2.02,
5.01, 5.02, 5.03
SPIRAL REVIEW/ASSESS
PACING: 5 Days
FLUENCY: 1.04
MAJOR CONCEPTS/SKILLS: 1.04,
1.05
 Students will solve relevant and
authentic problems using
appropriate technology and apply
these concepts as well as those
developed in earlier years.
MAINTAIN CONCEPTS/SKILLS:
 Number properties
 Bar graphs and leaf plots
 Median, mode, range
 Addition/subtraction of nonnegative rational numbers
TIME FRAME: SECOND GRADING PERIOD
SCOS GOALS AND OBJECTIVES
Goal 1: The learner will understand and compute
with rational numbers.
1.04 Develop FLUENCY in addition, subtraction,
multiplication, and division of non-negative rational
numbers.
(a) Analyze computational strategies.
(b) Describe the effect of operations on size.
(c) Estimate the results of computations.
ESSENTIAL QUESTIONS,
BENCHMARKS, AND SKILLS
FRACTIONS AND DECIMALS
How do you find a common multiple
and a least common multiple?
ESSENTIAL TASKS,
STRATEGIES,
PROJECTS,
CONNECTIONS
ESSENTIAL
TASKS:
RECOMMENDED
RESOURCES
AND
ASSESSMENT
PACING: 10 Days
TEXTBOOK:
Chapter 5
FLUENCY: 1.04, 1.05
OTHER
RESOURCES:
8
(d) Judge the reasonableness of solutions.
1.05 Develop FLUENCY in the use of factors,
multiples, exponential notation, and prime
factorization.
1.06 Use exponential, scientific, and calculator
notation to write very large and very small numbers.
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
estimation, calculators or computers, and paper and
pencil.
Goal 1: The learner will understand and compute
with rational numbers.
1.04 Develop FLUENCY in addition, subtraction,
multiplication, and division of non-negative rational
numbers.
(a) Analyze computational strategies.
(b) Describe the effect of operations on size.
(c) Estimate the results of computations.
(d) Judge the reasonableness of solutions.
1.05 Develop FLUENCY in the use of factors,
multiples, exponential notation, and prime
factorization.
1.06 Use exponential, scientific, and calculator
notation to write very large and very small numbers.
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
estimation, calculators or computers, and paper and
pencil.
Goal 5: The learner will demonstrate an
understanding of simple algebraic expressions.
5.02 Use and evaluate algebraic expressions
Goal 1: The learner will understand and compute
with rational numbers.
1.04 Develop FLUENCY in addition, subtraction,
multiplication, and division of non-negative rational
numbers.
(a) Analyze computational strategies.
ADDING AND SUBTRACTING
FRACTIONS
How do you use the least common
multiple to determine the sum /
difference with fractions with like and
unlike denominators?
ESSENTIAL
TASKS:
PACING: 10 Days
TEXTBOOK:
Chapter 6
OTHER
RESOURCES:
How is estimating a sum and difference
useful before computation?
FLUENCY: 1.04, 1.05
MULTIPLYING AND DIVIDING
FRACTIONS
Why is it helpful to convert mixed to
improper in multiplication and division
processes?
ESSENTIAL
TASKS:
PACING: 10 Days
TEXTBOOK:
Chapter 7
OTHER
9
(b) Describe the effect of operations on size.
(c) Estimate the results of computations.
(d) Judge the reasonableness of solutions.
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
estimation, calculators or computers, and paper and
pencil.
Goal 5: The learner will demonstrate an
understanding of simple algebraic expressions.
5.02 Use and evaluate algebraic expressions
Goal 1: The learner will understand and compute
with rational numbers.
1.01 Develop number sense for negative rational
numbers.
(a) Connect the model, number word, and number
using a variety of representations, including the
number line.
(b) Compare and order.
(c) Make estimates in appropriate situations.
1.03 Compare and order rational numbers.
1.04 Develop FLUENCY in addition, subtraction,
multiplication, and division of non-negative rational
numbers.
(a) Analyze computational strategies.
(b) Describe the effect of operations on size.
(c) Estimate the results of computations.
(d) Judge the reasonableness of solutions.
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
estimation, calculators or computers, and paper and
pencil.
Goal 3: The learner will understand and use
properties and relationships of geometric figures
in the coordinate plane.
3.01 Identify and describe the intersection of figures
in a plane.
3.04 Solve problems involving geometric figures in
the coordinate plane.
How is estimating a product and
quotient useful before computation?
RESOURCES:
FLUENCY: 1.04
MAJOR CONCEPTS/SKILLS: 1.04
ALGEBRA: INTEGERS
How do you identify position in the four
quadrants of the coordinate plane?
 Quadrants and signs of coordinates in
each quadrant
How does the absolute value of a
number relate to the distance between
the number and the origin (zero) on the
number line?
FLUENCY: 1.04
MAJOR CONCEPTS/SKILLS: 1.01
MAINTAIN CONCEPTS/SKILLS:
 Additional and subtraction of nonnegative rational numbers
10
ESSENTIAL
TASKS:
1. Battleship Game
2. Placement of
positive and negative
rational numbers on a
number line.
PACING: 10 Days
TEXTBOOK:
Chapter 8
OTHER
RESOURCES:
1. Connected Math
Project CurriculumBits and Pieces I and
II
1.01, 1.03, 1.04, 1.05, 1.06, 1.07, 3.01, 3.04, 5.02
SPIRAL REVIEW/ASSESS
FLUENCY: 1.04, 1.05
MAJOR CONCEPTS/SKILLS:
1.01, 1.04
 Students will solve relevant and
authentic problems using
appropriate technology and apply
these concepts as well as those
developed in earlier years.
PACING: 5 Days
MAINTAIN CONCEPTS/SKILLS:
 Addition/subtraction of nonnegative rational numbers
TIME FRAME: THIRD GRADING PERIOD
SCOS GOALS AND OBJECTIVES
Goal 1: The learner will understand and compute
with rational numbers.
1.04 Develop FLUENCY in addition, subtraction,
multiplication, and division of non-negative rational
numbers.
(a) Analyze computational strategies.
(b) Describe the effect of operations on size.
(c) Estimate the results of computations.
(d) Judge the reasonableness of solutions.
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
estimation, calculators or computers, and paper and
pencil.
Goal 5: The learner will demonstrate an
understanding of simple algebraic expressions.
5.01 Simplify algebraic expressions and verify the
results using the basic properties of rational numbers.
(a) Identity
ESSENTIAL QUESTIONS,
BENCHMARKS, AND SKILLS
ALGEBRA: SOLVING
EQUATIONS
How can expressions, equations, and
inequalities be simplified? Why is it
useful to simplify these things?
ESSENTIAL TASKS,
STRATEGIES,
PROJECTS,
CONNECTIONS
ESSENTIAL
TASKS:
1. Explore Houses
(NCTM’s Navigating
through AlgebraChapter 1)
FLUENCY: 1.04
MAJOR CONCEPTS/SKILLS: 5.03
11
2. Missing Values
(NCTM’s Navigating
through AlgebraChapter 3)
RECOMMENDED
RESOURCES
AND
ASSESSMENT
PACING: 15 Days
TEXTBOOK:
Chapter 9
OTHER
RESOURCES:
1. NCTM’s
Navigating through
Algebra
(b) Commutative
(c) Associative
(d) Distributive
(e) Order of operations
5.02 Use and evaluate algebraic expressions
5.03 Solve simple (one- and two-step) equations or
inequalities.
5.04 Use graphs, tables, and symbols to model and
solve problems involving rates of change and ratios.
Goal 1: The learner will understand and compute
with rational numbers.
1.02 Develop the meaning for percents.
(a) Connect the model, number word and number
using a variety of representations.
(b) Make estimates in appropriate situations.
1.04 Develop FLUENCY in addition, subtraction,
multiplication, and division of non-negative rational
numbers.
(a) Analyze computational strategies.
(b) Describe the effect of operations on size.
(c) Estimate the results of computations.
(d) Judge the reasonableness of solutions.
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
estimation, calculators or computers, and paper and
pencil.
Goal 1: The learner will understand and compute
with rational numbers.
1.04 Develop FLUENCY in addition, subtraction,
multiplication, and division of non-negative rational
numbers.
(a) Analyze computational strategies.
(b) Describe the effect of operations on size.
(c) Estimate the results of computations.
(d) Judge the reasonableness of solutions.
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
RATIO, PROPORTION, AND
PERCENT
How do scale drawings relate to
proportional reasoning?
What does percent mean?
ESSENTIAL
TASKS:
1. Problems that
connect proportions
and rate of change
(slope) of linear
relationships
PACING: 10 Days
ESSENTIAL
TASKS:
1. Geometric
probability
PACING: 15 Days
2. Problem Solving
(NCTM’s Navigating
through ProbabilityChapters 2, 3, 4)
OTHER
RESOURCES:
1. Connected Math
Project Curriculum What Do You
Expect? and How
TEXTBOOK:
Chapter 10
OTHER
RESOURCES:
FLUENCY: 1.04
MAJOR CONCEPTS/SKILLS: 1.02
PROBABILITY
Can predictions be valid when made
from experimental data?
What is the relationship of experimental
and theoretical probability?
FLUENCY: 1.04, 4.01
MAJOR CONCEPTS/SKILLS: 4.01,
4.02, 4.03, 4.04, 4.05
12
3. Activities from
TEXTBOOK:
Chapter 11
estimation, calculators or computers, and paper and
pencil.
Goal 4: The learner will understand and
determine probabilities.
4.01 Develop FLUENCY with counting strategies to
determine the sample space for an event. Include
lists, tree diagrams, frequency distribution tables,
permutations, combinations, and the Fundamental
Counting Principle.
4.02 Use a sample space to determine the probability
of an event.
4.03 Conduct experiments involving simple and
compound events.
4.04 Determine and compare experimental and
theoretical probabilities for simple and compound
events.
4.05 Determine and compare experimental and
theoretical probabilities for independent and
dependent events.
4.06 Design and conduct experiments or surveys to
solve problems; report and analyze results.
1.02, 1.04, 1.07, 4.01, 4.02, 4.03, 4.04, 4.05, 4.06,
5.01, 5.02, 5.03, 5.04
Connected Math
Project Curriculum in
modules What Do
You Expect? And
How Likely Is It?
4. Problem solving
using geometric
modeling to
understand
theoretical
probability
5. Problem solving
with graphics
calculator’s features
(randbin and APP:
ProbSim)
6. Differentiate
between experimental
/ theoretical,
simple/compound,
and
dependent/independe
nt probabilities.
SPIRAL REVIEW/ASSESS
FLUENCY: 1.04, 4.01
MAJOR CONCEPTS/SKILLS: 1.02,
4.01, 4.02, 4.03, 4.04, 4.05, 5.03
 Students will solve relevant and
authentic problems using
appropriate technology and apply
these concepts as well as those
developed in earlier years.
13
Likely Is It?
2. NCTM’s
Navigating through
Probability
TIME FRAME: FOURTH GRADING PERIOD
SCOS GOALS AND OBJECTIVES
Goal 1: The learner will understand and compute
with rational numbers.
1.04 Develop FLUENCY in addition, subtraction,
multiplication, and division of non-negative rational
numbers.
(a) Analyze computational strategies.
(b) Describe the effect of operations on size.
(c) Estimate the results of computations.
(d) Judge the reasonableness of solutions.
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
estimation, calculators or computers, and paper and
pencil.
Goal 2: The learner will select and use
appropriate tools to measure two- and threedimensional figures.
2.01 Estimate and measure length, perimeter, area,
angles, weight, and mass of two- and threedimensional figures, using appropriate tools.
2.11 Solve problems involving
perimeter/circumference and area of plane figures.
Goal 1: The learner will understand and compute
with rational numbers.
1.04 Develop FLUENCY in addition, subtraction,
multiplication, and division of non-negative rational
numbers.
(a) Analyze computational strategies.
(b) Describe the effect of operations on size.
(c) Estimate the results of computations.
(d) Judge the reasonableness of solutions.
ESSENTIAL QUESTIONS,
BENCHMARKS, AND SKILLS
MEASUREMENT
Why are different increments necessary
in measuring different objects?
 Use appropriate tools
 Convert given units to other units in
same measurement system.
FLUENCY: 1.04
MAINTAIN CONCEPTS/SKILLS:
 Perimeter and area
GEOMETRY: ANGLES AND
POLYGONS
How are tessellations used in real
world?
What figures can be tessellated on a
plane?
 Use protractors to measure angles.
14
ESSENTIAL TASKS,
STRATEGIES,
PROJECTS,
CONNECTIONS
RECOMMENDED
RESOURCES
AND
ASSESSMENT
ESSENTIAL
TASKS:
1. Measure, measure,
measure and use
different tools.
PACING: 8 Days
2. Minimize
Perimeter (NCTM’s
Navigating through
Geometry-Chapter 4)
ESSENTIAL
TASKS:
1. Explore why bees
used hexagons as
cells in their hives.
2. Reflection of
Images (NCTM’s
Navigating through
TEXTBOOK:
Chapter 12
OTHER
RESOURCES:
1. NCTM’s
Navigating through
Geometry
PACING: 9 Days
TEXTBOOK:
Chapter 13
OTHER
RESOURCES:
1. NCTM’s
Navigating through
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
estimation, calculators or computers, and paper and
pencil.
Goal 2: The learner will select and use
appropriate tools to measure two- and threedimensional figures.
2.01 Estimate and measure length, perimeter, area,
angles, weight, and mass of two- and threedimensional figures, using appropriate tools.
Goal 3: The learner will understand and use
properties and relationships of geometric figures
in the coordinate plane.
3.01 Identify and describe the intersection of figures
in a plane.
3.03 Transform figures in the coordinate plane and
describe the transformation.
3.04 Solve problems involving geometric figures in
the coordinate plane.
Goal 1: The learner will understand and compute
with rational numbers.
1.02 Develop the meaning for percents.
(a) Connect the model, number word and number
using a variety of representations.
(b) Make estimates in appropriate situations.
1.07 Develop flexibility in solving problems by
selecting strategies and using mental computation,
estimation, calculators or computers, and paper and
pencil.
Goal 2: The learner will select and use
appropriate tools to measure two- and threedimensional figures.
2.01 Estimate and measure length, perimeter, area,
angles, weight, and mass of two- and threedimensional figures, using appropriate tools.
2.02 Solve problems involving
perimeter/circumference and area of plane figures.
Goal 3: The learner will understand and use
Geometry-Chapter 3)
Geometry
3. Transformations
and Reflections
(NCTM’s Navigating
through GeometryChapter 3)
2. Connected Math
Project Curriculum
Module:
Maneuvering on a
Plane
FLUENCY: 1.04
4. Use Sketchpad to
do reflections,
transformations,
rotations, and
dilations.
GEOMETRY: MEASURING AREA
AND VOLUME
What are real world problems that
utilize area and volume concepts?
What is pi and how do you determine
pi?
 Use compasses to make a circle.
How are formulas useful in determining
area and circumference?
MAJOR CONCEPTS/SKILLS:
1.02, 1.04
MAINTAIN CONCEPTS/SKILLS:
 Perimeter and area
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5. Use Sketchpad to
explore relationships
of similar, congruent,
and symmetric
figures.
ESSENTIAL
TASKS:
1. Measure round
objects and find
relationship of
circumference and
diameter in both
measurement
systems.
2. Collect data using
both metric and
customary tools.
3. Use
manipulatives
(including
technology) to
develop
PACING: 8 Days
TEXTBOOK:
Chapter 14
OTHER
RESOURCES:
properties and relationships of geometric figures
in the coordinate plane.
3.01 Identify and describe the intersection of figures
in a plane.
3.02 Identify the radius, diameter, chord, center, and
circumference of a circle; determine the relationships
among them.
Goal 5: The learner will demonstrate an
understanding of simple algebraic expressions.
5.02 Use and evaluate algebraic expressions
ASSESS: 1.01, 1.04, 1.07, 2.01, 2.02, 3.01, 3.02,
5.02,
REVIEW ALL OBJECTIVES
EXTENDED GEOMETRIC MODELING AND
ALGEBRAIC PROBLEM SOLVING
understanding of
mass and volume.
SPIRAL REVIEW/ASSESS
FLUENCY: 1.04, 1.05, 4.01
MAJOR CONCEPTS/SKILLS:
1.01, 1.02, 1.04, 3.03, 4.01, 4.03, 4.04,
4.05, 5.03
 Students will solve relevant and
authentic problems using
appropriate technology and apply
these concepts as well as those
developed in earlier years.
MAINTAIN:
 Addition/ subtraction of nonnegative numbers
 Number properties
 Perimeter and area
 Median, mode, and range
 Bar graphs and leaf plots
1.07, 3.04
FLUENCY:
1.04, 1.05, 4.01
MAJOR CONCEPTS/SKILLS:
 Students will solve relevant and
authentic problems using
appropriate technology and apply
these concepts as well as those
developed in earlier years.
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PACING: 10 Days
PACING: 10 Days
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