Download Grade Six Advanced Mathematics Curriculum Map Unit 1 – Module 1

Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 1 – Module 1
The Number System - Integers
(Approximately 5 days)
Highlighted Math
Practice
MAFS.K.12.MP.2.1:
Reason abstractly and
quantitatively.
Click here for video
examples from Inside
Mathematics
MAFS.K.12.MP.4.1:
Model with
mathematics.
Click here for video
examples from Inside
Mathematics
Florida Math Standard
Students should be able to:
MFAS Tasks
Suggested Instructional
Resources
MAFS.6.NS.3.5: Understand that positive and
negative numbers are used together to describe
quantities having opposite directions or values
(e.g., temperature above/below zero, elevation
above/below sea level, credits/debits,
positive/negative electric charge); use positive
and negative numbers to represent quantities in
real-world contexts, explaining the meaning of 0
in each situation.


Identify an integer and its opposite.
Represent real-world quantities with
positive and negative integers.




Rainfall Change
Relative Decimals
Relative Fractions
Relative Integers

Go Math – Lessons 1.1
MAFS.6.NS.3.7b: Write, interpret, and explain
statements of order for rational numbers in real-world
contexts. For example, write -3 oC > -7 oC to express
the fact that -3 oC is warmer than -7oC.


Compare and order integers
Graph integers on a number line





Absolute Altitudes
Positions of Numbers
South Pole
Submarines
Visualizing Absolute Value

Go Math – Lessons 1.2
MAFS.6.NS.3.7c: Understand the absolute value of a
rational number as its distance from 0 on the number
line; interpret absolute value as magnitude for a
positive or negative quantity in a real-world situation.


Find absolute value of a rational number
Interpret





Absolute Altitudes
Positions of Numbers
South Pole
Submarines
Visualizing Absolute Value

Go Math – Lessons 1.3
Module 1 - Key Vocabulary
Absolute Value
Integers
Negative Numbers
Positive Numbers
Opposites
Inequality
Number Line
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 1 – Module 2
The Number System – Factors and Multiples
(Approximately 4 days )
Highlighted Math
Practice
MAFS.K.12.MP.2.1:
Reason abstractly and
quantitatively.
Click here for video
examples from Inside
Mathematics
Florida Math Standard
MAFS.6.NS.2.4: Understand that positive and
negative numbers are used together to describe
quantities having opposite directions or values
(e.g., temperature above/below zero, elevation
above/below sea level, credits/debits,
positive/negative electric charge); use positive
and negative numbers to represent quantities in
real-world contexts, explaining the meaning of 0
in each situation.
Students should be able to:



Find the greatest common factor of two
whole numbers less than or equal to 100.
Find the least common multiple of two
whole numbers less than or equal to 12.
Represent real-world quantities with
positive and negative integers.
Module 2 - Key Vocabulary
Greatest Common Factor
Least Common Multiple
MFAS Tasks



Greatest Common Factor
Least Common Multiple
Using the Distributive
Property
Suggested Instructional
Resources

Go Math – Lessons 2.1
& 2.2
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 1 - Module 3
The Number System – Rational Numbers
(Approximately 5 days)
Highlighted Math
Practice
MAFS.K.12.MP.3.1:
Construct viable
arguments and critique
the reasonableness of
others.
Click here for video
examples from Inside
Mathematics
Florida Math Standard
Students should be able to:
MAFS.6.NS.3.6:
MAFS.6.NS.3.6a: Recognize opposite signs of numbers as
indicating locations on opposite sides of 0 on the number line;
recognize that the opposite of the opposite of a number is the
number itself, e.g., –(–3) = 3, and that 0 is its own opposite.
MAFS.6.NS.3.6c: Find and position integers and other rational
numbers on a horizontal or vertical number line diagram; find and
position pairs of integers and other rational numbers on a
coordinate plane.

MAFS.6.NS.3.7: Understand ordering and absolute value of
rational numbers.
MAFS.6.NS.3.7a: Interpret statements of inequality as
statements about the relative position of two numbers on a
number line diagram. For example, interpret -3 > -7 as a
statement that -3 is located to the right of -7 on a number line
oriented from left to right.
MAFS.6.NS.3.7b: Write, interpret, and explain statements of
order for rational numbers in real-world contexts. For example,
write -30C > -70C to express the fact that -30C is warmer than 70C.
MAFS.6.NS.3.7c: Understand the absolute value of a rational
number as its distance from 0 on the number line; interpret
absolute value as magnitude for a positive or negative quantity in
a real-world situation. For example, for an account balance of -30
dollars, write |-30| = 30 to describe the size of the debt in dollars.


MFAS Tasks
Classify whole number,
integers, and rational
numbers using a visual
representation such as a
Venn diagram to describe
relationships between set of
numbers
Identify opposites and
absolute values of rational
numbers


Compare and order set of
rational numbers arising from
mathematical and real –world
context.

Go Math – Lessons 3.1
& 3.2



Explaining Opposites
Graphing on Cartesian
Planes
Graphing Points in the Plane
Graphing Points on the
Number Line
Locating Quadrants
Point Locations
What is the Opposite





Absolute Altitudes
Positions of Numbers
South Pole
Submarines
Visualizing Absolute Value

Go Math – Lessons 3.3


Module 3 - Key Vocabulary
Rational Numbers
Venn Diagram
Absolute Value
Whole Number
Integers
Suggested Instructional
Resources
Irrational Number
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 2 – Module 4
Number Operation – Fraction
(Approximately 8 days)
Highlighted Math
Practice
Florida Math Standard
MAFS.K.12.MP.4.1:
Model with
mathematics.
Students should be able to:
MFAS Tasks
MAFS.6.NS.2.4 Find the greatest
common factor of two whole
numbers and the least common
multiple of two whole numbers …
Use the Distributive Property to
express the sum of two whole
numbers 1–100 with a common
factor as a multiple of a sum of
two whole numbers.



Adding fraction and mixed number
Subtraction fraction and mixed number
Multiplying fractions with whole numbers



MAFS.6.NS.1.1: Interpret and
compute quotients of fractions and
solve word problems involving
division of fractions by fractions, …





Multiply fractions
Multiply mixed numbers
Divide fractions
Divide mixed numbers
Solve problems involving multiplication and division of
fractions
 Contextualizing Fraction
Division
 Fraction Division
 Juicing Fractions
 Models of Fraction Division
MAFS.K.12.MP.5.1: Use
appropriately tools
strategically.
Greatest Common Factors
Least Common Multiples
Using the Identity Property
Module 2 - Key Vocabulary
Quotient
Fraction
Mixed number
Reciprocal
Numerator
Denominator
Suggested Instructional
Resources
 Go Math – Lesson 4.1
 Go Math – Lesson
4.2, 4.3, 4.4
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 2 - Module 5
Number Operation- Decimal
(Approximately 10 days )
Highlighted Math
Practice
Florida Math Standard
MAFS.K.12.MP.4.1:
Model with
mathematics. Click here
for video examples from
Inside Mathematics
MAFS.6.NS.2.2 Fluently divide mulitdigit numbers using the standard
algorithm.


Divide by whole number
Interpret the remainder



Long Division – 1
Long Division – 2
Long Division – 3

Go Math – Lessons 5.1
MAFS.6.NS.2.3: Fluently add,
subtract, multiply, and divide multidigit decimals using the standard
algorithm for each operation




Add and subtract decimal
multiply decimals
divide decimals
solve problems involving multiplication and division of
fractions and decimals



Adding Multidigit Decimals
Dividing Multidigit Decimals
Multiplying Multidigit
Decimals
Subtracting Multidigit
Decimals

Go Math – Lessons 5.2,
5.3, 5.4, 5.5
MAFS.K.12.MP.5.1:
Look for and make use
of structure. Click here
for video examples from
Inside Mathematics
Students should be able to:
Module 3 - Key Vocabulary
Quotient
Repeating decimal
Terminating decimal
MFAS Tasks

Suggested Instructional
Resources
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 3 - Module 6
Proportionality : Ratios and Rates
(Approximately 6 days )
Highlighted Math
Practice
MAFS.K.12.MP.3.1:
Construct viable
arguments and
critique the
reasonableness of
others.
MAFS.K.12.MP.4.1:
Model with
mathematics
MAFS.K.12.MP.6.1:
Attend to precision
Florida Math Standard
Students should be able to:
Suggested Instructional
Resources
MAFS.6.RP.1.1: Understand the
concept of a ratio and use ratio
language to describe a ratio
relationship between two quantities.


represent ratios with concrete models
write ratios and find equivalent ratios




Comparing Rectangles
Comparing Time
Interpreting Ratio
Writing Ratios
 Go Math – Lessons 6.1
MAFS.6.RP.1.2: Understand the
concept of a unit rate a/b
associated with a ratio a:b with b ≠
0, and use rate language in the
context of a ratio relationship.

use rates and unit rates to compare quantities




Book Rates
Explaining Rates
Identifying Unit Rates
Writing Unit Rates
 Go Math – Lessons 6.2
MAFS.6.RP.1.3: Use ratio and rate
reasoning to solve real-world and
mathematical problems, e.g., by
reasoning about tables of
equivalent ratios, tape diagrams,
double number line diagrams, or
equations
MAFS.6.RP.1.3a: Make tables of
equivalent ratios relating quantities
with whole-number measurements,
find missing values in the tables,
and plot the pairs of values on the
coordinate plane. Use tables to
compare ratios.
MAFS.6.RP.1.3b: Solve unit rate
problems including those involving
unit pricing and constant speed

apply qualitative and quantitative reasoning to solve
prediction and comparison of real-world problems
involving ratios and rates







Bargain Breakfast
Comparing Rates
Finding the Whole
Homework Time
Making Coffee
Measurement Conversion
Party Punch – Comparing
Rates
Sara’s Hike
The Meaning of Pi
 Go Math- Lesson 6.1, 6.2,
6.3


Module 3 - Key Vocabulary
Rate
MFAS Tasks
Unit rate
Ratio
Equivalent Ratio
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 3 - Module 7
Applying Ratios and Rates and Conversion in Measurement
(Approximately 6 days )
Highlighted Math
Practice
MAFS.K.12.MP.4.1:
Model with
mathematics.
MAFS.K.12.MP.7.1:
Look for and make
use of structure.
Florida Math Standard
MAFS.6.RP.1.3d: Use ratio
reasoning to convert measurement
units; manipulate and transform
units appropriately when multiplying
or dividing quantities
Students should be able to:




compare additive and multiplicative relationships
represent mathematical and real-world problems
involving ratios and rates using tables and graphs
solve problems with proportions
convert units within a measurement system
MFAS Tasks




Measurement Conversion
Party Punch – Comparing
Rates
Sara’s Hike
The Meaning of Pi
Module 3 - Key Vocabulary
Ratio
Rate
Proportion
Scale
Scale Drawing
Units
Suggested Instructional
Resources


Go Math – Lesson 7.1,
7.2, 7.3
Omit Go Math- Lesson
7.4
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 3 - Module 8
Proportionality Ratios and Rates Percent
(Approximately 7 days )
Highlighted Math
Practice
MAFS.K.12.MP.2.1:
Reason abstractly
and quantitatively.
MAFS.K.12.MP.4.1:
Model with
mathematics
Florida Math Standard
MAFS.6.RP.1.3 Use ratio and rate
reasoning to solve real-world and
mathematical problems, e.g., by
reasoning about tables of equivalent
ratios, tape diagrams, double number
line diagrams, or equations.
Students should be able to:



represent percents with concrete models and fractions
generate equivalent forms of fractions, decimals, and
percents using real-world problems
solve real-world problems involving percent
MAFS.6.RP.1.3c Find a percent of a
quantity as a rate per 100 (e.g., 30%
of a quantity means 30/100 times the
quantity); solve problems involving
finding the whole, given a part and
the percent.
Module 3 - Key Vocabulary
Percent
Equivalent decimal
Proportional reasoning
MFAS Tasks



Associative and
Commutative Expressions
Equal sides, Equivalent
Expressions
Generating Equivalent
Expressions
Suggested Instructional
Resources

Go Math – Lessons 8.1,
8.2, 8.3
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 4 - Module 9
Equivalent Expressions: Numerical expression
(Approximately 5 days )
Highlighted Math
Practice
Florida Math Standard
MAFS.K.12.MP.2.1:
Reason abstractly and
quantitatively.
MAFS.6.EE.1.1: Write and
evaluate numerical
expressions involving wholenumber exponents.
MAFS.K.12.MP.5.1: Use
appropriately tools
strategically.
Students should be able to:



generate equivalent numerical expressions
using exponents
generate equivalent numerical expressions
using prime factorization
simplify numerical expressions using the order
of operations
Module 3 - Key Vocabulary
Exponent
Order of Operation
Base
Power
MFAS Tasks



Cube House
Evaluating Exponents
Paul’s Pennies
Suggested Instructional
Resources

Go Math – Lesson 9.1,
9.2, 9.3
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 4 - Module 10
Equivalent Expression : Algebraic expression
(Approximately 7 days )
Highlighted Math
Practice
MAFS.K.12.MP.2.1:
Reason abstractly
and quantitatively.
Florida Math Standard
Students should be able to:
MFAS Tasks
Suggested Instructional
Resources



Parts of Expressions
Substitute Resolution
Writing Expressions
 Go Math – (Lesson 10.1)
MAFS.6.EE.1.4: Identify when two expressions are equivalent (i.e.,
when the two expressions name the same number regardless of
which value is substituted into them).



Equivalent Exponents
Equivalent Expressions
Identifying Equivalent
Expressions
MAFS.6.EE.2.6 Use variables to represent numbers and write
expressions when solving a real-world or mathematical problem;
understand that a variable can represent an unknown number, or,
depending on the purpose at hand, any number in a specified set.


Gavin’s Pocket
Writing Real-World
Expressions
MAFS.6.EE.1.2a: Write expressions that record operations with
numbers and with letters standing for numbers.
MAFS.6.EE.1.2b: Identify parts of an expression using mathematical
terms (sum, term, product, factor, quotient, coefficient); view one or
more parts of an expression as a single entity.

determine if two expressions
are equivalent using concrete
models, pictorial models, and
algebraic representations.
MAFS.6.EE.1.2c: Evaluate expressions at specific values of their
variables. Include expressions that arise from formulas used in
real-world problems. Perform arithmetic operations, including those
involving whole-number exponents, in the conventional order when
there are no parentheses to specify a particular order (Order of
Operations).

evaluate algebraic expressions
for the given value of a variable



Parts of Expressions
Substitute Resolution
Writing Expressions
 Go Math – (Lesson 10.2)
MAFS.6.EE.1.3: Apply the properties of operations to generate
equivalent expressions.

generate equivalent
expressions using the
properties of operations.

Associative and
Commutative Expression
Equal Sides
Equivalent Expressions
 Go Math- (Lesson 10.3)


Module 4 - Key Vocabulary
Base
Exponent
Numerical expression
Operations
Order of operation
Algebraic expression
Coefficient
Constant
Equivalent expressions
Evaluating
Simplify
Like terms
Term
Variable
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 5 – Module 11
Equations and Inequalities: Equations and Relationships
(Approximately 10 days )
Highlighted Math
Practice
MAFS.K.12.MP.2.1:
Reason abstractly
and quantitatively.
MAFS.K.12.MP.4.1:
Model with
mathematics.
MAFS.K.12.MP.5.1:
Use appropriately tools
strategically.
Florida Math Standard
Students should be able to:
MFAS Tasks
MAFS.6.EE.2.5 Understand solving an
equation or inequality as a process of
answering a question: which values from a
specified set, if any, make the equation or
inequality true? Use substitution to determine
whether a given number in a specified set
makes an equation or inequality true.

MAFS.6.EE.2.6 Use variables to represent
numbers and write expressions when solving a
real-world or mathematical problem;
understand that a variable can represent an
unknown number, or, depending on the
purpose at hand, any number in a specified set.

model and solve one-variable, one-step
equations that represent problems


Gavin’s Pocket
Writing Real-World
Expressions
MAFS.6.EE.2.7 Solve real-world and
mathematical problems by writing and solving
equations of the form x + p = q and px = q, for
cases in which p, q, and x are all non-negative
rational numbers.

write corresponding real-world problems given
one-variable, one-step equations




Center Section
Equally Driven
Solar Solutions
University Parking
MAFS.6.EE.2.8 Write an inequality of the form
x > c or x < c to represent a constraint or
condition in a real-world or mathematical
problem. Recognize that inequalities of the form
x > c or x < c have infinitely many solutions;
represent solutions of such inequalities on
number line diagrams

understand the relationship and plot the
relationship with more than one inequality
(example 3 < x > -2)
solve two step equations and inequalities




Acres and Altitudes
Rational Number Lines
Roadway Inequalities
Transportation Number
Lines

write one-variable, one-step equations to
represent constraints or conditions within
problems
write inequalities





Finding Solutions of
Equations
Finding Solutions of
Inequalities
Solutions of Equations
Solutions of Inequalities
Suggested Instructional
Resources

Go Math – Lessons 11.1,
11.2, 11.3, 11.4
Module 3 - Key Vocabulary
Algebraic expressions
Solution
Coeffient
Term
Properties of operation
Variable
Inequalities
Evaluating
Like terms
Equivalent expression
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 5 - Module 12
Equation and Inequalties: Relationships in two variables
(Approximately 10 days )
Highlighted Math
Practice
MAFS.K.12.MP.2.1:
Reason abstractly
and quantitatively.
MAFS.K.12.MP.4.1:
Model with
mathematics.
Florida Math Standard
Students should be able to:
MAFS.6.NS.3.6b: Recognize opposite signs of numbers
as indicating locations on opposite sides of 0 on the
number line; recognize that the opposite of the opposite
of a number is the number itself

Identify and graph in all four quadrants





Explaining Opposites
Graphing on Cartesian
Planes
Graphing Points in the
Plane
Locating Quadrants
Point Locations
What is the Opposite?



Bike Lot Coordinates
Garden Area
Garden Coordinates

Analyzing the
Relationship
Bicycling Equations
Grinding Equations
Table to Equation

MAFS.6.NS.3.6c: Find and position integers and other
rational numbers on ... number line diagram; find and
position pairs of integers and other rational numbers on a
coordinate plane.
MAFS.6.NS.3.8: Solve real-world and mathematical
problems by graphing points in all four quadrants of the
coordinate plane. Include use of coordinates and
absolute value to find distances between points with the
same first coordinate or the same second coordinate.
MFAS Tasks

Describe the location of points. For
example five units right and two units
up. (also use north, south , east, west)
MAFS.6.EE.3.9: Use variables to represent two
quantities in a real-world problem that change in
relationship to one another; write an equation to
express one quantity, thought of as the dependent
variable, in terms of the other quantity, thought of as the
independent variable. Analyze the relationship between
the dependent and independent variables using graphs
and tables, and relate these to the equation.



Suggested Instructional
Resources

Go Math –
(Lessons 12.1)

Module 3 - Key Vocabulary
Axis
Coordinate plane
Dependent variables
Independent variables
Ordered Pair
Quadrant
x-axis
y-axis
y-coordinate
x-coordinate

Coordinate
Origin
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 6 - Module 13
Geometry : Area and Polygons
(Approximately 8 days )
Highlighted Math
Practice
Florida Math Standard
MAFS.K.12.MP.1.1: Make
sense of problems and
persevere in solving them
MAFS.6.G.1.1: Find the area of
triangles, special quadrilaterals,
and polygons.
MAFS.K.12.MP.4.1: Model
with mathematics.


MAFS.K.12.MP.2.1: Reason
abstractly and quantitatively.
MAFS.K.12.MP.3.1:
Construct viable arguments
and critique the
reasonableness of others.
Students should be able to:


MAFS.6.EE.2.7: Solve real-world
and mathematical problems by
writing and solving equations of
the form x + p = q and px = q for
cases in which p, q and x are all
non-negative rational numbers.
model area formulas for parallelograms, trapezoids, and
rhombuses by decomposing and rearranging parts of these
shapes
model area formulas for triangles by decomposing and
rearranging parts of shapes
write equations that represent problems related to the area
of rectangles, parallelograms, trapezoids, and triangles
where dimensions are positive rational numbers
write equations that represent problems related to the
volume of right rectangular prisms where dimensions are
positive rational numbers
MFAS Tasks





Area of Kite
Area of Quadrilateral
Area of Triangle
Lost Key
Swimming Pool Walkway




Center Section
Equally Driven
Solar Solutions
University Parking
Suggested Instructional
Resources

Go Math – Lesson 13.1,
13.2, 13.3, 13.4
Module 3 - Key Vocabulary
Parallelogram
Rhombus
Trapezoid
Triangle
Polygon
Quadrilateral
Rectangular prism
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 6 - Module 14
Geometry: Distance and Area in Coordinate Plane
(Approximately 4 days )
Highlighted Math
Practice
Florida Math Standard
MAFS.K.12.MP.2.1:
Reason abstractly and
quantitatively.
MAFS.6.NS.3.6b: Understand signs of numbers in
ordered pairs as indicating locations in quadrants of
the coordinate plane; recognize that when two
ordered pairs differ only by signs, the locations of the
points are related by reflections across one or both
axes.
MAFS.K.12.MP.3.1:
Construct viable
arguments and critique
the reasonableness of
others.
Students should be able to:


use absolute value to find distances
between points in the coordinate plane
solve problems that involve drawing
polygons in the coordinate plane and
finding the length of a side
MAFS.6.NS.3.8: Solve real-world and mathematical
problems by graphing points in all four quadrants of
the coordinate plane. Include use of coordinates and
absolute value to find distances between points with
the same first coordinate or the same second
coordinate.
MAFS.6.G.1.3: Draw polygons in the coordinate plane
given coordinates for the vertices; use coordinates to
find the length of a side joining points with the same
first coordinate or same second coordinate. Apply
these techniques in the context of solving real-world
and mathematical problems.
MFAS Tasks






Explaining Opposites
Graphing on Cartesian Planes
Graphing Points in the Plane
Locating Quadrants
Point Locations
What is the Opposite?
Suggested Instructional
Resources

Go Math -Lessons 14.1,
14.2
 Bike Lot Coordinates
 Garden Area
 Garden Coordinates

solve problems that involve drawing
polygons in the coordinate plane and
finding the length of a side




Fence Length
Patio Area
Polygon Coordinates
Polygon Grid
Module 3 - Key Vocabulary
Area
Axis
Perimeter
Polygon
Reflection
Vertex
Vertices
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 6 - Module 15
Geometry: Surface Area and Volume
(Approximately 10 days )
Highlighted Math
Practice
MAFS.K.12.MP.4.1:
Model with mathematics
MAFS.K.12.MP.6.1:
Attend to precision
Florida Math Standard
Students should be able to:
MAFS.6.G.1.2: Find the volume of a right rectangular prism
with fractional edge lengths by packing it with unit cubes of the
appropriate unit fraction edge lengths, and show that the
volume is the same as would be found by multiplying the edge
lengths of the prism. Apply the formulasV = l w h and V = B
h to find volumes of right rectangular prisms with fractional
edge lengths in the context of solving real-world and
mathematical problems.


Find volume using the volume
formula.
Use nets to find surface area
MAFS.6.G.1.4: Represent three-dimensional figures using
nets made up of rectangles and triangles, and use the nets to
find the surface area of these figures. Apply these techniques
in the context of solving real-world and mathematical
problems.
MAFS.6.EE.2.7: Solve real-world and mathematical problems
by writing and solving equations of the form x + p = q and px =
q for cases in which p, q and x are all non-negative rational
numbers.

Solve equations of the form x + p = q
and px = q
MFAS Tasks




Bricks
Clay Blocks
Moving Truck
Prism Packing




Pyramid Project
Rust Protection
Skateboard Ramp
Windy Pyramid




Center Section
Equally Driven
Solar Solutions
University Parking
Suggested Instructional
Resources

Go Math –
Lesson 15.1, 15.2,
15.3
Module 3 - Key Vocabulary
Net
Base
Height
Rectangular prism
Volume
Pyramid
Surface area
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 7- Module 16
Measurement and Data: Summarizing Data
(Approximately 12 days )
Highlighted Math
Practice
Florida Math Standard
MAFS.K.12.MP.2.1:
Reason abstractly and
quantitatively.
MAFS.6.SP.1.1: Recognize a statistical question as one that
anticipates variability in the data related to the question and
accounts for it in the answers.
MAFS.K.12.MP.3.1:
Construct viable
arguments and critique
the reasonableness of
others.
MAFS.6.SP.1.3: Recognize that a measure of center for a
numerical data set summarizes all of its values with a single
number, while a measure of variation describes how its values
vary with a single number.
MAFS.K.12.MP.4.1:
Model with
mathematics.
MAFS.K.12.MP.5.1: Use
appropriately tools
strategically.
Students should be able to:



MAFS.6.SP.2.4: Display numerical data in plots on a number
line, including dot plots, histograms, and box plots.

MAFS.6.SP.2.5: Summarize numerical data sets in relation to
their context, such as by:
MAFS.6.SP.2.5c: Giving quantitative measures of center
(median and/or mean) and variability (interquartile range and/or
mean absolute deviation), as well as describing any overall
pattern and any striking deviations from the overall pattern with
reference to the context in which the data were gathered.
MAFS.6.SP.2.5d: Relating the choice of measures of center
and variability to the shape of the data distribution and the
context in which the data were gathered.

represent numeric data
graphically, including dot plots,
histograms, and box plots
use graphical representations
of numeric data to describe
the center, spread, and shape
of a data distribution
summarize numeric data with
numerical summaries,
including the mean and
median and the range and
interquartile range (IQR)
interpret numeric data
summarized in dot plots,
histograms, and box plots
summarize categorical data
with numerical and graphical
summaries, including mode
and relative frequency tables
MFAS Tasks


Questions About a Class
TV Statistics

Compare Measures of
Center and Variability
Explain Measures of Center
Explain Measures of
Variability





Basketball Histogram
Chores Data
Shark Attack Data




Analyzing Physical Activity
Florida Lakes
Quiz Mean and Deviation
Select the Better Measure
Suggested Instructional
Resources

Go Math – Lesson
16.1, 16.2, 16.3, 16.4,
16.5
Module 3 - Key Vocabulary
Upper quartile
Data
Survey
Box plot
Histogram
Interquartile range
Lower quartile
Mean absolute deviation
Median
Mode
Measure of center
Measure of spread
Range
Statistical questions
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 8 - Module 17
Number System – Integers Addition and Subtraction
(Approximately 5 days )
Highlighted Math
Practice
MAFS.K.12.MP.5.1: Use
appropriately tools
strategically. Click here
for video examples from
Inside Mathematics
MAFS.K.12.MP.2.1:
Reason abstractly and
quantitatively. Click here
for video examples from
Inside Mathematics
MAFS.K.12.MP.1.1:
Make sense of problems
and persevere in solving
them. Click here for
video examples from
Inside Mathematics
Florida Math Standard
MAFS.7.NS.1.1: Apply and extend previous
understandings of addition and subtraction to
add and subtract rational numbers; represent
addition and subtraction on a horizontal or
vertical number line diagram.
MAFS.7.NS.1.1.c: Understand subtraction of
rational numbers as adding the additive inverse,
p – q = p + (–q). Show that the distance between
two rational numbers on the number line is the
absolute value of their difference, and apply this
principle in real-world contexts.
MAFS.7.NS.1.1.d: Apply properties of operations
as strategies to add and subtract rational
numbers.
Students should be able to:




Students represent integer operations with
concrete models and connect the actions with
the models to standardized algorithms:
add integers fluently
subtract integers fluently
solve multi-step problems involving addition
and subtraction of integers
MFAS Tasks






MAFS.7.NS.1.3: Solve real-world and
mathematical problems involving the four
operations with rational numbers.





Adding Integers
Exploring Additive Inverse
Finding the Difference
Rational Addition and
Subtraction
Rational Water
Management
Using Positive and Negative
Numbers in Context
Suggested Instructional
Resources

Go Math – Lesson 17.1,
17.2, 17.3, 17.4
Positive and Negative
Fractions
A Rational Number
Expression
Complex Fractions
Monitoring Water
Temperatures
Trail Mix Munchies
Module 3 - Key Vocabulary
Difference
Integers
Negative numbers
Opposites
Absolute value
Additive inverse
Expressions
model
Positive number
Sum
Whole number
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 8 - Module 18
Number Systems: Multiply and Dividing Integers
(Approximately 4 days )
Highlighted Math
Practice
Florida Math Standard
MAFS.K.12.MP.2.1:
Reason abstractly and
quantitatively.Click here
for video examples from
Inside Mathematics
MAFS.7.NS.1.2: Apply and extend previous
understandings of multiplication and division and of
fractions to multiply and divide rational numbers.

MAFS.7.NS.1.1.b: Understand that integers can be
divided, provided that the divisor is not zero, and
every quotient of integers (with non-zero divisor) is
a rational number. If p and q are integers, then -( p
_ q) = ___ (-p) q = ___p (-q) . Interpret quotients of
rational numbers by describing real-world contexts.
MAFS.K.12.MP.4.1:
Model with
mathematics.
Click here for video
examples from Inside
Mathematics
MAFS.K.12.MP.7.1:
Look for and make use
of structure.Click here
for video examples from
Inside Mathematics
Students should be able to:
MFAS Tasks
Students represent integer
operations with concrete models
and connect the actions with the
models to standardized algorithms.



multiply integers fluently
divide integers fluently






Adding Integers
Exploring Additive Inverse
Finding the Difference
Rational Addition and Subtraction
Rational Water Management
Using Positive and Negative
Numbers in Context

use the order of operations to solve
multistep problems involving
integers





Positive and Negative Fractions
A Rational Number Expression
Complex Fractions
Monitoring Water Temperatures
Trail Mix Munchies






MAFS.7.NS.1.1.c: Apply properties of operations
as strategies to multiply and divide rational
numbers.
MAFS.7.NS.1.3: Solve real-world and mathematical
problems involving the four operations with rational
numbers.
Applying Rational Number
Properties
Find Decimal Using Long Division
Integer Division
Negative Times
Negative Explained
Quotients of Integers
Understanding Products
Suggested Instructional
Resources

Go Math – Lessons 18.1,
18.2, 18.3
Module 3 - Key Vocabulary
Divide
Dividend
Divisor
Integers
Opposites
Positive number
Product
quotient
Multiply
Negative number
Operation
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 8 - Module 19
Number System : Rational Numbers
(Approximately 5 days )
Students should be able to:
Highlighted Math
Practice
Florida Math Standard
MAFS.K.12.MP.2.1:
Reason abstractly
and quantitatively.
Click here for video
examples from Inside
Mathematics
MAFS.7.NS.1.1.c: Understand subtraction of rational numbers as
adding the additive inverse, p - q = p + (-q). Show that the distance
between two rational numbers on the number line is the absolute
value of their difference, and apply this principle in real-world
contexts.
MAFS.K.12.MP.3.1:
Construct viable
arguments and
critique the
reasonableness of
others. Click here for
video examples from
Inside Mathematics
MAFS.K.12.MP.4.1:
Model with
mathematics. Click
here for video
examples from Inside
Mathematics

MFAS Tasks





Adding Integers
Exploring Additive Inverse
Finding the Difference
Rational Addition and Subtraction
Rational Water Management





Applying Rational Number
Properties
Find Decimal Using Long Division
Integer Division
Negative Times
Negative Explained
MAFS.7.NS.1.3: Solve real-world and mathematical problems
involving the four operations with rational numbers.



Positive and Negative Fractions
A Rational Number Expression
Complex Fractions
MAFS.7.EE.1.1: Apply properties of operations as strategies to add,
subtract, factor, and expand linear expressions with rational
coefficients.



Equivalent Perimeters
Equivalent Rational Expressions
Factored Forms
MAFS.7.EE.2.3: Solve multi-step real-life and mathematical
problems posed with positive and negative rational numbers in any
form (whole numbers, fractions, and decimals), using tools
strategically. Apply properties of operations to calculate with
numbers in any form; convert between forms as appropriate; and
assess the reasonableness of answers using mental computation
and estimation strategies





Alexa’s Account
Discount and Tax
Gas Station Equations
Reeling in Expressions
Using Estimation


MAFS.7.NS.1.2: Apply and extend previous understandings of
multiplication and division and of fractions to multiply and divide
rational numbers.
MAFS.7.NS.1.2.d: Convert a rational number to a decimal using long
division; know that the decimal form of a rational number terminates
in 0s or eventually repeats.
Students represent and use
rational numbers in a variety
of forms:
write rational numbers as
decimals
add, subtract, multiply, and
divide rational numbers
fluently
Suggested Instructional
Resources

Go Math –
Lessons 19.1 to 19.7
Module 3 - Key Vocabulary
Rational number
Repeating decimal
Terminating decimal
Integer
Whole numbers
Additive inverse
Opposite
Rational number
Negative number
Pattern
Positive number
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
Unit 9 - Module 20
Rates and Proportionality
(Approximately 7days )
Highlighted Math
Practice
MAFS.K.12.MP.2.1:
Reason abstractly and
quantitatively. Click here
for video examples from
Inside Mathematics
MAFS.K.12.MP.4.1:
Model with
mathematics. Click here
for video examples from
Inside Mathematics
Florida Math Standard
Students should be able to:
MAFS.7.RP.1.1: Compute unit rates associated with
ratios of fractions, including ratios of lengths, areas and
other quantities measured in like or different units.
MAFS.7.RP.1.2a: Decide whether two quantities are in a
proportional relationship, e.g., by testing for equivalent
ratios in a table or graphing on a coordinate plane and
observing whether the graph is a straight line through the
origin.
MAFS.7.RP.1.2b: Identify the constant of proportionality
(unit rate) in tables, graphs, equations, diagrams, and
verbal descriptions of proportional relationships.
MAFS.7.RP.1.2c: Represent proportional relationships by
equations.
MAFS.7.RP.1.2d: Explain what a point (x, y) on the
graph of a proportional relationship means in terms of the
situation, with special attention to the points (0, 0) and (1,
r) where r is the unit rate.




Students represent and solve
proportional relationships:
calculate unit rates from rates
represent constant rates of change
given a table, verbal description,
equation, or graph
determine constant of proportionality
in real-world situations
MAFS.7.RP.1.3: Use proportional relationships to solve
multistep ratio and percent problems.
MFAS Tasks




Comparing Unit Rates
Computing unit Rates
Unit Rate Area
Unit Rate Length


Explain Equivalent
Expressions
Rectangle Expressions





Estimating: Counting Trees
Finding Fees
Gasoline Prices
Making Cookies
Tiffany’s Cookies
Suggested Instructional
Resources

Go Math –
Lessons 20.1, 20.2,
20.3
Module 3 - Key Vocabulary
Constant
Conversion factor
Equivalent ratio
Percent
Rate
Constant of
Proportion
Proportional relationship
Rate of change
Unit rate
Ratio
Complex fraction
Grade Six Advanced Mathematics Curriculum Map
Course Number: 1205020
The intention of the Curriculum Map is to provide a consistent scope and sequence for the course across the district. While the instruction and resources will be based on the needs of
the students, the expectation is that every student enrolled in the course will learn the standards in each module.
proportionality
Unit 9 - Module 21
Proportions and Percent
(Approximately 5 days )
Highlighted Math
Practice
Florida Math Standard
Students should be able to:
MAFS.K.12.MP.2.1:
Reason abstractly and
quantitatively. Click here
for video examples from
Inside Mathematics
MAFS.7.RP.1.3: Recognize and represent proportional
relationships between quantities.
MAFS.K.12.MP.4.1:
Model with
mathematics. Click here
for video examples from
Inside Mathematics
MAFS.7.EE.1.2: Understand that rewriting an expression
in different forms in a problem context can shed light on
the problem and how the quantities in it are related.
MAFS.K.12.MP.5.1: Use
appropriately tools
strategically. Click here
for video examples from
Inside Mathematics




Students represent and solve
problems involving proportional
relationships:
solve problems involving percent
increase, percent decrease, and
percent of change
solve markup and markdown
problems
use percents to find sales tax, tips,
total cost, simple interest
MAFS.7.EE.2.3: Solve multi-step real-life and
mathematical problems posed with positive and negative
rational numbers in any form (whole numbers, fractions,
and decimals), using tools strategically. Apply properties
of operations to calculate with numbers in any form;
convert between forms as appropriate; and assess the
reasonableness of answers using mental computation
and estimation strategies.
MFAS Tasks





Estimating: Counting Trees
Finding Fees
Gasoline Prices
Making Cookies
Tiffany’s Cookies


Explain Equivalent
Expressions
Rectangle Expressions





Alex’s Account
Discount and Tax
Gas Station Equations
Reeling in Expressions
Using Estimation
Suggested Instructional
Resources

Go Math – Lessons 6.1
Module 3 - Key Vocabulary
Proportion
Percent
Principal
Simple interest
Rate
Ratio
Unit rate
Percent of decrease
Percent of increase