Download Module Lesson Number and Name of Lesson

Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Georgia Frameworks
Vmath
Grade: Sixth
Unit 1: Number System Fluency
Standards in Unit:
Apply and extend previous understandings of
multiplication and division to divide fractions by fractions.
MCC6.NS.1 Interpret and compute quotients of fractions,
and solve word problems involving division of fractions by
fractions, e.g., by using visual fraction models and equations
to represent the problem.
Compute fluently with multi-digit numbers and find
common factors and multiples.
MCC6.NS.2 Fluently divide multi-digit numbers using the
standard algorithm.
MCC6.NS.3 Fluently add, subtract, multiply, and divide
multi-digit decimals using the standard algorithm for each
operation.
MCC6.NS.4 Find the greatest common factor of two whole
numbers less than or equal to 100 and the least common
multiple of two whole numbers less than or equal to 12. Use
the distributive property to express a sum of two whole
numbers 1–100 with a common factor as a multiple of a
sum of two whole numbers with no common factor.
Level: G
Vmath Modules aligned to Framework:
Module 1: Decimals
Lessons:
• Adventure! Buying an MP3 Player
• 5A: Gizmos: Sums and Differences with Decimals
• 5: Adding Decimals
• 6A: Hands-On Lesson: Subtracting Decimals Using Grid
Paper
• 6: Subtracting Decimals
• 7: Estimating Decimal Sums and Differences
• 8: Multiplying Decimals
• 9A: Hands-On Lesson: Modeling Decimal Division Using
Decimal Grid Paper
• 9: Dividing Decimals by Whole Numbers
• 10: Dividing Decimals by Decimals
• 11: Estimating Decimal Products and Quotients
• 12: Reasonableness and Estimation
Module 2: Number Theory and Fractions
Lessons:
• 1: Factors
• 2: Greatest Common Factor
• 6: Multiples
• 7A: Hands-On Lesson: Finding the Least Common
Multiple Using Number Lines
• 7: Least Common Multiple
• 8: Problem-Solving: Finding Patterns
Module 4: Multiplying and Dividing Fractions
Lessons:
• 7: Using Reciprocals
• 8: Dividing Fractions
• 9: Operations with Fractions
Performance
Task Name
Content
Addressed
Standard(s)
Finding Common
Factors
Factors
MCC6.NS.4
Back To School
Least Common
Multiple
MCC6.NS.4
Module
Lesson Number and Name of Lesson
Module 2: Number Theory and Fractions
Lessons:
• 1: Factors
• 2: Greatest Common Factor
• 6: Multiples
• 7A: Hands-On Lesson: Finding the Least Common
Multiple Using Number Lines
• 7: Least Common Multiple
• 8: Problem-Solving: Finding Patterns
Module 2: Number Theory and Fractions
Lessons:
1
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
1: Factors
2: Greatest Common Factor
6: Multiples
7A: Hands-On Lesson: Finding the Least Common
Multiple Using Number Lines
• 7: Least Common Multiple
• 8: Problem-Solving: Finding Patterns
Module 2: Number Theory and Fractions
Lessons:
• 1: Factors
• 2: Greatest Common Factor
• 6: Multiples
• 7A: Hands-On Lesson: Finding the Least Common
Multiple Using Number Lines
• 7: Least Common Multiple
• 8: Problem-Solving: Finding Patterns
Module 2: Number Theory and Fractions
Lessons:
• 1: Factors
• 2: Greatest Common Factor
• 6: Multiples
• 7A: Hands-On Lesson: Finding the Least Common
Multiple Using Number Lines
• 7: Least Common Multiple
• 8: Problem-Solving: Finding Patterns
Module 1: Decimals
Lessons:
• 9A: Hands-On Lesson: Modeling Decimal Division Using
Decimal Grid Paper
• 9: Dividing Decimals by Whole Numbers
• 10: Dividing Decimals by Decimals
• 11: Estimating Decimal Products and Quotients
Module 4: Multiplying and Dividing Fractions
Lessons:
• 7: Using Reciprocals
• 8: Dividing Fractions
• 9: Operations with Fractions
Module 4: Multiplying and Dividing Fractions
Lessons:
• 7: Using Reciprocals
• 8: Dividing Fractions
• 9: Operations with Fractions
Module 4: Multiplying and Dividing Fractions
Lessons:
• 7: Using Reciprocals
• 8: Dividing Fractions
• 9: Operations with Fractions
•
•
•
•
Secret Number
Factors and
Multiples
MCC6.NS.4
Let’s Distribute
Distributive
Property
MCC6.NS.4
Long Division
Algorithm
Dividing with a
standard
algorithm
MCC6. NS.2
Dividing Fractions
Division of
Fractions
MCC6.NS.1
Fractional
Divisors
Division of
Fractions
MCC6.NS.1
Algorithms
Division of
Fractions
MCC6.NS.1
2
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Do It Yourself
Division of
Fractions
MCC6.NS.1
Dividing Fractions
with Modeling
Division of
Fractions
MCC6.NS.1
Estimating is the
Root of Fluency –
Addition and
Subtraction
Decimal Fluency
MCC6.NS.3
Estimating is the
Root of Fluency –
Multiplication
Decimal Fluency
MCC6.NS.3
Estimating is the
Root of Fluency –
Division
Decimal Fluency
MCC6.NS.3
Module 4: Multiplying and Dividing Fractions
Lessons:
• 7: Using Reciprocals
• 8: Dividing Fractions
• 9: Operations with Fractions
Module 4: Multiplying and Dividing Fractions
Lessons:
• 7: Using Reciprocals
• 8: Dividing Fractions
• 9: Operations with Fractions
Module 1: Decimals
Lessons:
• Adventure! Buying an MP3 Player
• 5A: Gizmos: Sums and Differences with Decimals
• 5: Adding Decimals
• 6A: Hands-On Lesson: Subtracting Decimals Using Grid
Paper
• 6: Subtracting Decimals
• 7: Estimating Decimal Sums and Differences
• 8: Multiplying Decimals
• 9A: Hands-On Lesson: Modeling Decimal Division Using
Decimal Grid Paper
• 9: Dividing Decimals by Whole Numbers
• 10: Dividing Decimals by Decimals
• 11: Estimating Decimal Products and Quotients
• 12: Reasonableness and Estimation
Module 1: Decimals
Lessons:
• Adventure! Buying an MP3 Player
• 5A: Gizmos: Sums and Differences with Decimals
• 5: Adding Decimals
• 6A: Hands-On Lesson: Subtracting Decimals Using Grid
Paper
• 6: Subtracting Decimals
• 7: Estimating Decimal Sums and Differences
• 8: Multiplying Decimals
• 9A: Hands-On Lesson: Modeling Decimal Division Using
Decimal Grid Paper
• 9: Dividing Decimals by Whole Numbers
• 10: Dividing Decimals by Decimals
• 11: Estimating Decimal Products and Quotients
• 12: Reasonableness and Estimation
Module 1: Decimals
Lessons:
• Adventure! Buying an MP3 Player
• 5A: Gizmos: Sums and Differences with Decimals
• 5: Adding Decimals
• 6A: Hands-On Lesson: Subtracting Decimals Using Grid
Paper
3
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
6: Subtracting Decimals
7: Estimating Decimal Sums and Differences
8: Multiplying Decimals
9A: Hands-On Lesson: Modeling Decimal Division Using
Decimal Grid Paper
• 9: Dividing Decimals by Whole Numbers
• 10: Dividing Decimals by Decimals
• 11: Estimating Decimal Products and Quotients
• 12: Reasonableness and Estimation
Module 1: Decimals
Lessons:
• Adventure! Buying an MP3 Player
• 5A: Gizmos: Sums and Differences with Decimals
• 5: Adding Decimals
• 6A: Hands-On Lesson: Subtracting Decimals Using Grid
Paper
• 6: Subtracting Decimals
• 7: Estimating Decimal Sums and Differences
• 8: Multiplying Decimals
• 9A: Hands-On Lesson: Modeling Decimal Division Using
Decimal Grid Paper
• 9: Dividing Decimals by Whole Numbers
• 10: Dividing Decimals by Decimals
• 11: Estimating Decimal Products and Quotients
• 12: Reasonableness and Estimation
•
•
•
•
Culminating Task
Pick a Number,
Any Number
Factors, Multiples,
Distributive
Property, Division
of Fractions
MCC6.NS.1
MCC6.NS.2
MCC6.NS.3
MCC6.NS.4
Module 2: Number Theory and Fractions
Lessons:
• 1: Factors
• 2: Greatest Common Factor
• 6: Multiples
• 7A: Hands-On Lesson: Finding the Least Common
Multiple Using Number Lines
• 7: Least Common Multiple
• 8: Problem-Solving: Finding Patterns
Module 4: Multiplying and Dividing Fractions
Lessons:
• 7: Using Reciprocals
• 8: Dividing Fractions
• 9: Operations with Fractions
4
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Georgia Frameworks
Vmath
Grade: Sixth
Unit 2: Rate, Ratio, and Proportional Reasoning Using
Equivalent Fractions
Standards in Unit:
Understand ratio concepts and use ratio reasoning to solve
problems.
MCC6.RP.1 Understand the concept of a ratio and use ratio
language to describe a ratio relationship between two
quantities.
MCC6.RP.2 Understand the concept of a unit rate ܽ/ܾ
associated with a ratio ܽ:ܾ with ܾ≠0 (b not equal to zero),
and use rate language in the context of a ratio relationship.
MCC6.RP.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.
MCC6.RP.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.
MCC6.RP.3b Solve unit rate problems including those
involving unit pricing and constant speed.
MCC6.RP.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.
MCC6.RP.3d Use ratio reasoning to convert measurement
units; manipulate and transform units appropriately when
multiplying or dividing quantities.
Performance
Task Name
Content
Addressed
Ratios and Rates
Ratios, Rates, and
Unit Rates
Constant
Dimensions
Ratio Units
Standard(s)
MCC6.RP.1
MCC6.RP.2
MCC6.RP.3b
MCC6.RP.1
MCC6.RP.3a
Level: G
Vmath Modules aligned to Framework:
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Module
Lesson Number and Name of Lesson
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
5
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
•
How Many Noses
Ratios and
Proportions
Reaching the Goal
Fraction, Percent
MCC6.RP.3c
Free Throws
Multiplying,
Percentages, and
Ratios
MCC6.RP.3c
Traveling to School
Fractions, ratios,
and proportions
Optimizing:
Security Cameras
Percentages
Ice Cream or
Cake?
Percentages and
Ratios
MCC6.RP.1
MCC6.RP.3d
MCC6.RP.1
MCC6.RP.2
MCC6.RP.3a,b,c,d
MCC6.RP.1
MCC6.RP.2
MCC6.RP.3a,b,c,d
MCC6.RP.3c
4: Solving Proportion Word Problems
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
6
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
1: Ratios
2: Rates
3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
•
•
•
Culminating Task:
The Rocky
Mountain Vacation
Trip Problem
Ratio and
Proportions
MCC6.RP.1
MCC6.RP.2
MCC6.RP.3a,b,c,d
7
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Georgia Frameworks
Vmath
Grade: Sixth
Unit 3: Expressions
Standards in Unit:
Apply and extend previous understandings of arithmetic to
algebraic expressions.
MCC6.EE.1 Write and evaluate numerical expressions
involving whole-number exponents.
MCC6.EE.2 Write, read, and evaluate expressions in which
letters stand for numbers.
MCC6.EE.2a Write expressions that record operations with
numbers and with letters standing for numbers.
MCC6.EE.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.
MCC6.EE.2c Evaluate expressions at specific values for their
variables. Include expressions that arise from formulas 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).
MCC6.EE.3 Apply the properties of operations to generate
equivalent expressions.
MCC6.EE.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).
Performance
Task Name
Content
Addressed
Standard(s)
Exponents
Exponents
MCC6.EE.1
Rules for
Exponents
Exponent
Conventions
MCC6.EE.1
Conjectures About
Properties
Properties of
Numbers
MCC6.EE.3
Level: G
Vmath Modules aligned to Framework:
Module 6: Geometry and Measurement
Lessons
• Adventure! Helping Earth
• 9: Perimeter
• 10: Areal
• 11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
• 11: Circumference and Area of Circles
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module 8: Pre-Algebra and Integers
Lessons:
• Adventure! What Time Is It?
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
• 4A: Hands-On Lesson: Representing Equations Using a
Scale
• 4: Solving Addition and Subtraction Equations
• 5: Solving Multiplication and Division Equations
• 6: Formulating an Equation from a Word Problem
• 7: Input-Output Tables
Module
Lesson Number and Name of Lesson
Module 8: Pre-Algebra and Integers
Lessons:
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
Module 8: Pre-Algebra and Integers
Lessons:
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
Module 8: Pre-Algebra and Integers
Lessons:
• 1: Order of Operations
8
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Writing
Expressions
Writing
expressions
Writing and
Evaluating
Expressions
Read, Write, and
Evaluate
Expressions and
Formulas
The Law of
Arithmetic
Are We Equal?
Culminating Task:
Sweet Tooth
Chocolate Shop
Expressions
Identify
equivalent
expressions, Use
properties to
generate
equivalent
expressions
Expressions
MCC6.EE.2a
MCC6.EE.2a,b,c
MCC6.EE.3
MCC6.EE.3
MCC6.EE.4
MCC6.EE.1
MCC6.EE.2a, b
MCC6.EE.3
Module 8: Pre-Algebra and Integers
Lessons:
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 6: Formulating an Equation from a Word Problem
Module 6: Geometry and Measurement
Lessons
• Adventure! Helping Earth
• 9: Perimeter
• 10: Areal
• 11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
• 11: Circumference and Area of Circles
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module 8: Pre-Algebra and Integers
Lessons:
• Adventure! What Time Is It?
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
• 4A: Hands-On Lesson: Representing Equations Using a
Scale
• 4: Solving Addition and Subtraction Equations
• 5: Solving Multiplication and Division Equations
• 6: Formulating an Equation from a Word Problem
• 7: Input-Output Tables
Module 8: Pre-Algebra and Integers
Lessons:
1: Order of Operations
Module 8: Pre-Algebra and Integers
Lessons:
• Adventure! What Time Is It?
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
• 4A: Hands-On Lesson: Representing Equations Using a
Scale
• 4: Solving Addition and Subtraction Equations
• 5: Solving Multiplication and Division Equations
• 6: Formulating an Equation from a Word Problem
• 7: Input-Output Tables
Module 6: Geometry and Measurement
Lessons
• Adventure! Helping Earth
9
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
MCC6.EE.4
•
•
•
•
•
•
•
9: Perimeter
10: Areal
11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
11: Circumference and Area of Circles
13: Surface Area
14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
14: Volume
Module 8: Pre-Algebra and Integers
Lessons:
• Adventure! What Time Is It?
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
• 4A: Hands-On Lesson: Representing Equations Using a
Scale
• 4: Solving Addition and Subtraction Equations
• 5: Solving Multiplication and Division Equations
• 6: Formulating an Equation from a Word Problem
• 7: Input-Output Tables
10
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Georgia Frameworks
Vmath
Grade: Sixth
Unit 4: One-Step Equations and Inequalities
Standards in Unit:
Reason about and solve one-variable equations and
inequalities.
MCC6.EE.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.
MCC6.EE.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.
MCC6.EE.7 Solve real-world and mathematical problems by
writing and solving equations of the form ‫ݔ‬+‫ ݍ=݌‬and ‫ݍ=ݔ݌‬
for cases in which p, q and x are all nonnegative rational
numbers.
MCC6.EE.8 Write an inequality of the form ‫ ܿ>ݔ‬or ‫ ܿ<ݔ‬to
represent a constraint or condition in a real-world or
mathematical problem. Recognize that inequalities of the
form ‫ ܿ>ݔ‬or ‫ ܿ<ݔ‬have infinitely many solutions; represent
solutions of such inequalities on number line diagrams.
Represent and analyze quantitative relationships between
dependent and independent variables.
MCC6.EE.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.
Understand ratio concepts and use ratio reasoning to solve
problems.
MCC6.RP.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.
MCC6.RP.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.
MCC6.RP.3b Solve unit rate problems including those
involving unit pricing and constant speed.
MCC6.RP.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.
Level: G
Vmath Modules aligned to Framework:
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Module 6: Geometry and Measurement
Lessons:
• Adventure! Helping Earth
• 9: Perimeter
• 10: Area
• 11A: Gizmos: Perimeter, Circumference and Area –
Activity A
• 11: Circumference and Area of Circles
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module 8: Pre-Algebra and Integers
Lessons:
• Adventure! What Time Is It?
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
• 4A: Hands-On Lesson: Representing Equations Using a
Scale
• 4: Solving Addition and Subtraction Equations
• 5: Solving Multiplication and Division Equations
• 6: Formulating an Equation from a Word Problem
• 7: Input-Output Tables
11
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Georgia Frameworks
Vmath
MCC6.RP.3d Use ratio reasoning to convert measurement
units; manipulate and transform units appropriately when
multiplying or dividing quantities.
Performance
Task Name
Content
Addressed
Standard(s)
Set It Up
One Step
Equations
MCC.6.EE.5
MCC.6.EE.6
MCC.6.EE.7
Building
Toothpicks
Algebraic
Expressions
MCC.6.EE.5
MCC.6.EE.6
MCC.6.EE.7
Module
Lesson Number and Name of Lesson
Module 6: Geometry and Measurement
Lessons:
• Adventure! Helping Earth
• 9: Perimeter
• 10: Area
• 11A: Gizmos: Perimeter, Circumference and Area –
Activity A
• 11: Circumference and Area of Circles
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module 8: Pre-Algebra and Integers
Lessons:
• Adventure! What Time Is It?
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
• 4A: Hands-On Lesson: Representing Equations Using a
Scale
• 4: Solving Addition and Subtraction Equations
• 5: Solving Multiplication and Division Equations
• 6: Formulating an Equation from a Word Problem
• 7: Input-Output Tables
Module 6: Geometry and Measurement
Lessons:
• Adventure! Helping Earth
• 9: Perimeter
• 10: Area
• 11A: Gizmos: Perimeter, Circumference and Area –
Activity A
• 11: Circumference and Area of Circles
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module 8: Pre-Algebra and Integers
Lessons:
• Adventure! What Time Is It?
12
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
1: Order of Operations
2A: Gizmos: Using Algebraic Expressions
2: Variables and Expressions
3: Evaluating Expressions
4A: Hands-On Lesson: Representing Equations Using a
Scale
• 4: Solving Addition and Subtraction Equations
• 5: Solving Multiplication and Division Equations
• 6: Formulating an Equation from a Word Problem
• 7: Input-Output Tables
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
•
•
•
•
•
Fruit Punch
Picturing
Proportions
Proportional
Relationships
Proportional
Relationships
MCC.6.EE.5
MCC.6.EE.6
MCC.6.EE.7
MCC.6.RP.3
MCC.6.EE.5
MCC.6.EE.6
MCC.6.EE.7
MCC.6.RP.3
Module 6: Geometry and Measurement
Lessons:
• Adventure! Helping Earth
• 9: Perimeter
• 10: Area
• 11A: Gizmos: Perimeter, Circumference and Area –
Activity A
• 11: Circumference and Area of Circles
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module 8: Pre-Algebra and Integers
Lessons:
• Adventure! What Time Is It?
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
• 4A: Hands-On Lesson: Representing Equations Using a
Scale
• 4: Solving Addition and Subtraction Equations
• 5: Solving Multiplication and Division Equations
• 6: Formulating an Equation from a Word Problem
• 7: Input-Output Tables
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
13
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
•
•
•
•
2: Rates
3A: Hands-On Lesson: Understanding Proportions Using
Counters
3: Solving Proportions
4: Solving Proportion Word Problems
Module 6: Geometry and Measurement
Lessons:
• Adventure! Helping Earth
• 9: Perimeter
• 10: Area
• 11A: Gizmos: Perimeter, Circumference and Area –
Activity A
• 11: Circumference and Area of Circles
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Making Sense of
Graphs
Proportions,
Rules, and
Algebra
MCC.6.EE.5
MCC.6.EE.6
MCC.6.EE.7
MCC.6.EE.9
MCC.6.RP.3
Module 8: Pre-Algebra and Integers
Lessons:
• Adventure! What Time Is It?
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
• 4A: Hands-On Lesson: Representing Equations Using a
Scale
• 4: Solving Addition and Subtraction Equations
• 5: Solving Multiplication and Division Equations
• 6: Formulating an Equation from a Word Problem
• 7: Input-Output Tables
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Module 6: Geometry and Measurement
Lessons:
• Adventure! Helping Earth
• 9: Perimeter
• 10: Area
• 11A: Gizmos: Perimeter, Circumference and Area –
Activity A
• 11: Circumference and Area of Circles
14
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
•
•
•
13: Surface Area
14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
14: Volume
Module 8: Pre-Algebra and Integers
Lessons:
• Adventure! What Time Is It?
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
• 4A: Hands-On Lesson: Representing Equations Using a
Scale
• 4: Solving Addition and Subtraction Equations
• 5: Solving Multiplication and Division Equations
• 6: Formulating an Equation from a Word Problem
• 7: Input-Output Tables
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Analyzing Tables
Equations
MCC.6.EE.5
MCC.6.EE.6
MCC.6.EE.7
MCC.6.EE.9
MCC.6.RP.3
Module 6: Geometry and Measurement
Lessons:
• Adventure! Helping Earth
• 9: Perimeter
• 10: Area
• 11A: Gizmos: Perimeter, Circumference and Area –
Activity A
• 11: Circumference and Area of Circles
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module 8: Pre-Algebra and Integers
Lessons:
• Adventure! What Time Is It?
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
• 4A: Hands-On Lesson: Representing Equations Using a
Scale
15
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
• 4: Solving Addition and Subtraction Equations
• 5: Solving Multiplication and Division Equations
• 6: Formulating an Equation from a Word Problem
• 7: Input-Output Tables
Module 6: Geometry and Measurement
Lessons:
• Adventure! Helping Earth
• 9: Perimeter
• 10: Area
• 11A: Gizmos: Perimeter, Circumference and Area –
Activity A
• 11: Circumference and Area of Circles
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
When is it Not
Equal
Inequalities
MCC.6.EE.5
MCC.6.EE.8
It is on sale!
Ratios and
Percents
MCC.6.RP.3c
Buying Shrimp
Unit Rates
MCC.6.RP.3b
Module 8: Pre-Algebra and Integers
Lessons:
• Adventure! What Time Is It?
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
• 4A: Hands-On Lesson: Representing Equations Using a
Scale
• 4: Solving Addition and Subtraction Equations
• 5: Solving Multiplication and Division Equations
• 6: Formulating an Equation from a Word Problem
• 7: Input-Output Tables
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
16
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Converting Metrics
Culminating Task:
Want Ads
Converting
Metrics
Culminating
MCC.6RP.3d
MCC.6.EE.5
MCC.6.EE.6
MCC.6.EE.7
MCC.6.EE.8
MCC.6.EE.9
MCC.6.RP.3a,b,c,d
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Module 5: Ratio, Proportion, and Percent
Lessons
• Adventure! Metals in Jewelry
• 1: Ratios
• 2: Rates
• 3A: Hands-On Lesson: Understanding Proportions Using
Counters
• 3: Solving Proportions
• 4: Solving Proportion Word Problems
Module 6: Geometry and Measurement
Lessons:
• Adventure! Helping Earth
• 9: Perimeter
• 10: Area
• 11A: Gizmos: Perimeter, Circumference and Area –
Activity A
• 11: Circumference and Area of Circles
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module 8: Pre-Algebra and Integers
Lessons:
• Adventure! What Time Is It?
• 1: Order of Operations
• 2A: Gizmos: Using Algebraic Expressions
• 2: Variables and Expressions
• 3: Evaluating Expressions
• 4A: Hands-On Lesson: Representing Equations Using a
Scale
• 4: Solving Addition and Subtraction Equations
• 5: Solving Multiplication and Division Equations
• 6: Formulating an Equation from a Word Problem
• 7: Input-Output Tables
17
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Georgia Frameworks
Vmath
Grade: Sixth
Unit 5: Area and Volume
Standards in Unit:
Solve real-world and mathematical problems involving
area, surface area, and volume.
MCC6.G.1 Find area of right triangles, other triangles, special
quadrilaterals, and polygons by composing into rectangles or
decomposing into triangles and other shapes; apply these
techniques in the context of solving real-world and
mathematical problems.
MCC6.G.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 formulas ܸ=݈‫ݓ‬ℎ and
ܸ=ܾℎ to find volumes of right rectangular prisms with
fractional edge lengths in the context of solving real-world
and mathematical problems.
MCC6.G.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.
Performance
Task Name
Content
Addressed
Standard(s)
Who Put the Tang
in Tangram?
Find area of
regular and
irregular polygons.
MCC6.G.1
Rectangle
Wraparound
Find area of
regular and
irregular polygons.
MCC6.G.1
What’s My Area?
King Arthur’s New
Table
Find area of
regular and
irregular polygons;
apply to solve real
world problems
Find area of
regular and
irregular
polygons; apply to
solve real world
problems.
MCC6.G.1
MCC6.G.1
Level: G
Vmath Modules aligned to Framework:
Module 6: Geometry and Measurement
Lessons:
• 10: Area
• 11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module
Lesson Number and Name of Lesson
Module 6: Geometry and Measurement
Lessons:
• 10: Area
• 11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
Module 6: Geometry and Measurement
Lessons:
• 10: Area
• 11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
Module 6: Geometry and Measurement
Lessons:
• 10: Area
• 11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
Module 6: Geometry and Measurement
Lessons:
• 10: Area
• 11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
18
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Finding Surface
Area
How Many Ways?
Volume and Cubes
Find Surface Area
of rectangular
prisms, triangular
prisms,
rectangular
pyramids, and
triangular
pyramids.
Find area of
regular and
irregular
polygons; apply to
solve real world
problems.
Finding volume of
rectangular
prisms. Focus on
packing with
cubes with
fractional sides.
Module 6: Geometry and Measurement
Lessons:
• 13: Surface Area
MCC6.G.4
MCC6.G.2
Module 6: Geometry and Measurement
Lessons:
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
MCC6.G.2
Module 6: Geometry and Measurement
Lessons:
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Packaging Our
Goods
Apply formulas to
find volume and
surface area for
real-world
problems.
MCC6.G.2
MCC6.G.4
Designing Candy
Cartons
Apply formulas to
find volume and
surface area for
real-world
problems.
MCC6.G.1
MCC6.G.2
MCC6.G.4
Candle Box
Apply formulas to
find volume and
surface area for
real-world
problems.
MCC6.G.1
MCC6.G.2
MCC6.G.4
Smoothie Box
Apply formulas to
find volume and
surface area for
real-world
problems.
MCC6.G.1
MCC6.G.2
MCC6.G.4
Module 6: Geometry and Measurement
Lessons:
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module 6: Geometry and Measurement
Lessons:
• 10: Area
• 11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module 6: Geometry and Measurement
Lessons:
• 10: Area
• 11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module 6: Geometry and Measurement
Lessons:
• 10: Area
• 11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
• 13: Surface Area
19
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module 6: Geometry and Measurement
Lessons:
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
Module 6: Geometry and Measurement
Lessons:
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volume
•
Boxing Bracelets
Apply formulas to
find volume and
surface area for
real-world
problems.
MCC6.G.2
MCC6.G.4
Culminating Task
STEM Fish Tank
Foam Packaging
Design
Apply formulas to
find volume and
surface area for
real-world
problems.
MCC6.G.2
MCC6.G.4
20
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Georgia Frameworks
Vmath
Grade: Sixth
Unit 6: Statistics
Standards in Unit:
Develop understanding of statistical variability.
MCC6.SP.1 Recognize a statistical question as one that
anticipates variability in the data related to the question and
accounts for it in the answers.
MCC6.SP.2 Understand that a set of data collected to answer
a statistical question has a distribution which can be
described by its center, spread, and overall shape.
MCC6.SP.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.
Summarize and describe distributions.
MCC6.SP.4 Display numerical data in plots on a number line,
including dot plots, histograms, and box plots.
MCC6.SP.5 Summarize numerical data sets in relation to
their context, such as by:
a. Reporting the number of observations.
b. Describing the nature of the attribute under investigation,
including how it was measured and its units of measurement.
c. 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 was gathered.
d. Relating the choice of measures of center and variability to
the shape of the data distribution and the context in which
the data was gathered.
Performance
Task Name
Content
Addressed
Standard(s)
What is a
Statistical
Question?
Statistical
Questions
MCC.6.SP.1
Who was the
Greatest Yankee
Home Run Hitter?
Mean, Median,
Mode, Stem and
Leaf Charts,
Frequency lists,
Histograms, Range
MCC.6.SP.2
MCC.6.SP.3
MCC.6.SP.4
MCC.6.SP.5a,c,d
Level: G
Vmath Modules aligned to Framework:
Module 7: Data, Probability, and Statistics
Lessons:
• 1: Bar Graphs
• 2: Line Graphs
• 3: Circle Graphs
• 4: Stem-and-Leaf Plots
• 5: Comparing Graphical Representations
• 6A: Gizmos: Mean, Median, and Mode
• 6: Measures of Central Tendency
• 7: Counting Possible Outcomes
• 8A: Hands-On Lesson: Understanding Probability Using
Cereal
• 8: Simple Probability and Sample Space
• 9: Probabilities of Complements
• 10: Problem-Solving: Using a Table
Module
Lesson Number and Name of Lesson
Module 7: Data, Probability, and Statistics
Lessons:
• 8A: Hands-On Lesson: Understanding Probability Using
Cereal
• 8: Simple Probability and Sample Space
• 9: Probabilities of Complements
• 10: Problem-Solving: Using a Table
Module 7: Data, Probability, and Statistics
Lessons:
• 1: Bar Graphs
• 2: Line Graphs
• 3: Circle Graphs
• 4: Stem-and-Leaf Plots
• 5: Comparing Graphical Representations
• 6A: Gizmos: Mean, Median, and Mode
• 6: Measures of Central Tendency
21
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
7: Counting Possible Outcomes
8A: Hands-On Lesson: Understanding Probability Using
Cereal
• 8: Simple Probability and Sample Space
• 9: Probabilities of Complements
• 10: Problem-Solving: Using a Table
Module 7: Data, Probability, and Statistics
Lessons:
• 1: Bar Graphs
• 2: Line Graphs
• 3: Circle Graphs
• 4: Stem-and-Leaf Plots
• 5: Comparing Graphical Representations
• 6A: Gizmos: Mean, Median, and Mode
• 6: Measures of Central Tendency
• 7: Counting Possible Outcomes
• 8A: Hands-On Lesson: Understanding Probability Using
Cereal
• 8: Simple Probability and Sample Space
• 9: Probabilities of Complements
• 10: Problem-Solving: Using a Table
Module 7: Data, Probability, and Statistics
Lessons:
• 1: Bar Graphs
• 2: Line Graphs
• 3: Circle Graphs
• 4: Stem-and-Leaf Plots
• 5: Comparing Graphical Representations
• 6A: Gizmos: Mean, Median, and Mode
• 6: Measures of Central Tendency
• 7: Counting Possible Outcomes
• 8A: Hands-On Lesson: Understanding Probability Using
Cereal
• 8: Simple Probability and Sample Space
• 9: Probabilities of Complements
• 10: Problem-Solving: Using a Table
Module 7: Data, Probability, and Statistics
Lessons:
• 6A: Gizmos: Mean, Median, and Mode
• 6: Measures of Central Tendency
• 8A: Hands-On Lesson: Understanding Probability Using
Cereal
• 8: Simple Probability and Sample Space
• 9: Probabilities of Complements
• 10: Problem-Solving: Using a Table
Module 7: Data, Probability, and Statistics
Lessons:
• 1: Bar Graphs
• 2: Line Graphs
•
•
How Long is a
Minute?
Box Plots, Inter
Quartile Range
(IQR), Minimum,
Maximum, 5
number summary
MCC6.SP.2
MCC6.SP.3
MCC6.SP.4
MCC6.SP.5c,d
Where’s Waldo?
Side by Side Box
Plots; A deeper
look into
percentages that
are present in box
plots, discussion
of outliers.
Differentiation
option at end of
task
MCC.6.SP.1
MCC.6.SP.2
MCC.6.SP.3
MCC.6.SP.4
MCC.6.SP.5a,b,c,d
Mean, Median,
Mode and Range
Mean, Median
and Range
MCC.6.SP.1
MCC.6.SP.2
MCC.6.SP.3
Suzi’s Company
Mean, Median,
Range and
Measure of
Center
MCC.6.SP.4
MCC.6.SP.5a,b,c,d
22
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
3: Circle Graphs
4: Stem-and-Leaf Plots
5: Comparing Graphical Representations
6A: Gizmos: Mean, Median, and Mode
6: Measures of Central Tendency
7: Counting Possible Outcomes
8A: Hands-On Lesson: Understanding Probability Using
Cereal
• 8: Simple Probability and Sample Space
• 9: Probabilities of Complements
• 10: Problem-Solving: Using a Table
Module 7: Data, Probability, and Statistics
Lessons:
• 1: Bar Graphs
• 2: Line Graphs
• 3: Circle Graphs
• 4: Stem-and-Leaf Plots
• 5: Comparing Graphical Representations
• 6A: Gizmos: Mean, Median, and Mode
• 6: Measures of Central Tendency
• 7: Counting Possible Outcomes
• 8A: Hands-On Lesson: Understanding Probability Using
Cereal
• 8: Simple Probability and Sample Space
• 9: Probabilities of Complements
• 10: Problem-Solving: Using a Table
Module 7: Data, Probability, and Statistics
Lessons:
• 1: Bar Graphs
• 2: Line Graphs
• 3: Circle Graphs
• 4: Stem-and-Leaf Plots
• 5: Comparing Graphical Representations
• 6A: Gizmos: Mean, Median, and Mode
• 6: Measures of Central Tendency
• 7: Counting Possible Outcomes
• 8A: Hands-On Lesson: Understanding Probability Using
Cereal
• 8: Simple Probability and Sample Space
• 9: Probabilities of Complements
• 10: Problem-Solving: Using a Table
•
•
•
•
•
•
•
Candy Bars
Analyze Data and
Justify
Conclusions
MCC.6.SP.4
MCC.6.SP.5a,b,c,d
How Many People
are in Your family?
Mean, Mean
Absolute
Deviation, Mode,
Range
MCC.6.SP.2
MCC.6.SP.3
MCC.6.SP.4
MCC6.SP.5.c
Culminating Task:
Order Up! Fast
Food Frenzy
Part I: Burgers~
I’m Lovin’ It!
Part II: Biggie Size
those Fries~ or
Maybe Not!
Part III: I’m Thirsty!
Part I: Measures of
Center, measures
of spread, overall
shape, outliers
MCC.6.SP.2
MCC.6.SP.3
MCC.6.SP.4
Part II: Side by Side
MCC.6.SP.5a,b,c,d
Box Plots, Spread,
Shape, Variability,
MAD
Module 7: Data, Probability, and Statistics
Lessons:
• 1: Bar Graphs
• 2: Line Graphs
• 3: Circle Graphs
• 4: Stem-and-Leaf Plots
• 5: Comparing Graphical Representations
• 6A: Gizmos: Mean, Median, and Mode
23
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Part III: Histograms,
measures of spread,
graphing calculator
extension
•
•
•
•
•
•
6: Measures of Central Tendency
7: Counting Possible Outcomes
8A: Hands-On Lesson: Understanding Probability Using
Cereal
8: Simple Probability and Sample Space
9: Probabilities of Complements
10: Problem-Solving: Using a Table
24
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Georgia Frameworks
Grade: Sixth
Unit 7: Rational Explorations: Numbers and Their
Opposites
Standards in Unit:
Apply and extend previous understandings of numbers to
the system of rational numbers.
MCC6.NS.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, debits/credits,
positive/negative electric charge); use positive and negative
numbers to represent quantities in real-world contexts,
explaining the meaning of 0 in each situation.
MCC6.NS.6 Understand a rational number as a point on the
number line. Extend number line diagrams and coordinate
axes familiar from previous grades to represent points on the
line and in the plane with negative number coordinates.
MCC6.NS.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.
MCC6.NS.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.
MCC6.NS.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.
MCC6.NS.7 Understand ordering and absolute value of
rational numbers.
MCC6.NS.7a Interpret statements of inequality as
statements about the relative position of two numbers on a
number line diagram.
MCC6.NS.7b Write, interpret, and explain statements of
order for rational numbers in real-world contexts.
MCC6.NS.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.
MCC6.NS.7d Distinguish comparisons of absolute value from
statements about order.
MCC6.NS.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.
Solve real-world and mathematical problems involving
Vmath
Level: G
Vmath Modules aligned to Framework:
Module 6: Geometry and Measurement – Perimeter, Area,
Gimzos: Perimeter, Circumference, and Area – Activity A,
Circumference and Area of Circles, Surface Area, Hands-On
Lesson: Finding Volume Using Three-Dimensional Shapes and
Unit Cubes, Volume
Lessons
• 9: Perimeter
• 10: Area
• 11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
• 11: Circumference and Area of Circles
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volulme
**** (Not draw polygons, but solve real-world problems.)
Module 8: Pre-Algebra and Integers
Lessons
• 8: Understanding Integers
• 9A: Gizmos: Real Number Line – Activity A
• 9: Integers on a Number Line
• 10: Coordinate Planes
• 14: Problem-Solving: Using Patterns
25
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
Georgia Frameworks
Vmath
area, surface area, and volume.
MCC6.G.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 the same second coordinate. Apply these techniques in
the context of solving real-world and mathematical
problems.
Performance
Task Name
What’s Your Sign?
Representing
Rational Numbers
on the Number
Line
Symbols of
Inequalities and
the Coordinate
System
Graphing on the
Coordinate Plane
Content
Addressed
Plotting numbers
on a number line;
Ordering integers;
Negative and
positive numbers;
Absolute Value;
Distance between
two points on a
number line.
Ordering rational
numbers; Plotting
numbers on a
number line;
Negative and
positive numbers;
Absolute Value;
Opposites
Plotting rational
numbers on the
number line;
Negative and
positive numbers;
Plotting and
naming points on
a coordinate
plane; Absolute
Value; Distance
between points.
Plotting rational
numbers on the
number line;
Negative and
positive numbers;
Plotting and
naming points on
a coordinate
plane; Absolute
Value; Distance
between points;
Standard(s)
MCC6.NS.5
MCC6.NS.6a,c
MCC6.NS.7
MCC6.NS.5
MCC6.NS.6a,c
MCC6.NS.7
MCC6.NS.5
MCC6.NS.6c
MCC6.NS.7a,b
MCC6.NS.8
MCC6.NS.5
MCC6.NS.6a,b,c
MCC6.NS.7c
MCC6.NS.8
MCC6.G.3
Module
Lesson Number and Name of Lesson
Module 8: Pre-Algebra and Integers
Lessons
• 8: Understanding Integers
• 9A: Gizmos: Real Number Line – Activity A
• 9: Integers on a Number Line
• 10: Coordinate Planes
• 14: Problem-Solving: Using Patterns
Module 8: Pre-Algebra and Integers
Lessons
• 8: Understanding Integers
• 9A: Gizmos: Real Number Line – Activity A
• 9: Integers on a Number Line
• 10: Coordinate Planes
• 14: Problem-Solving: Using Patterns
Module 8: Pre-Algebra and Integers
Lessons
• 8: Understanding Integers
• 9A: Gizmos: Real Number Line – Activity A
• 9: Integers on a Number Line
• 10: Coordinate Planes
• 14: Problem-Solving: Using Patterns
Module 6: Geometry and Measurement – Perimeter, Area,
Gimzos: Perimeter, Circumference, and Area – Activity A,
Circumference and Area of Circles, Surface Area, Hands-On
Lesson: Finding Volume Using Three-Dimensional Shapes and
Unit Cubes, Volume
Lessons
• 9: Perimeter
• 10: Area
• 11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
• 11: Circumference and Area of Circles
26
Common Core Georgia Performance Standards Framework
aligned to
Vmath Level G
reflecting across
the x and y axis;
area and
perimeter.
Absolute Value
and Ordering
Culminating Task:
Sounds of the
Band
Absolute Value
and ordering of
rational numbers.
13: Surface Area
14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volulme
**** (Not draw polygons, but solve real-world problems.)
•
•
MCC6.NS.5
MCC6.NS.6
MCC6.NS.7a,b,c,d
Positive and
negative
numbers;
comparing and
ordering; negative
and positive
numbers;
MCC6.NS.5
absolute value;
MCC6.NS.6a,b,c
distance between MCC6.NS.7a,b,c,d
points; opposites;
MCC6.NS.8
plotting rational
MCC6.G.3
numbers;
reflecting across
the x and y axis;
area and
perimeter;
coordinate
graphing.
Module 8: Pre-Algebra and Integers
Lessons
• 8: Understanding Integers
• 9A: Gizmos: Real Number Line – Activity A
• 9: Integers on a Number Line
• 10: Coordinate Planes
• 14: Problem-Solving: Using Patterns
Module 8: Pre-Algebra and Integers
Lessons
• 8: Understanding Integers
• 9A: Gizmos: Real Number Line – Activity A
• 9: Integers on a Number Line
• 10: Coordinate Planes
• 14: Problem-Solving: Using Patterns
Module 6: Geometry and Measurement – Perimeter, Area,
Gimzos: Perimeter, Circumference, and Area – Activity A,
Circumference and Area of Circles, Surface Area, Hands-On
Lesson: Finding Volume Using Three-Dimensional Shapes and
Unit Cubes, Volume
Lessons
• 9: Perimeter
• 10: Area
• 11A: Gizmos: Perimeter, Circumference, and Area –
Activity A
• 11: Circumference and Area of Circles
• 13: Surface Area
• 14A: Hands-On Lesson: Finding Volume Using ThreeDimensional Shapes and Unit Cubes
• 14: Volulme
**** (Not draw polygons, but solve real-world problems.)
Module 8: Pre-Algebra and Integers
Lessons
• 8: Understanding Integers
• 9A: Gizmos: Real Number Line – Activity A
• 9: Integers on a Number Line
• 10: Coordinate Planes
• 14: Problem-Solving: Using Patterns
27