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Common Core Grade 6 Math (Homework, Lesson Plans, & Worksheets)

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The following lesson plans and worksheets are from the New York State Education Department Common Core-aligned educational resources.

The Lesson Plans and Worksheets are divided into six modules.

Related Topics:

Common Core Math Resources, Lesson Plans, & Worksheets
Common Core Math Video Lessons, Math Worksheets and Games for Grade 6
Common Core Math Video Lessons, Math Worksheets and Games for all grades

Grade 6 Homework, Lesson Plans, and Worksheets


Module 1 Topics and Objectives
A Module A Overview

Lesson 1, Lesson 2: Ratios (Video)

Lesson 3, Lesson 4: Equivalent Ratios (Video) (Video)

Lesson 5, Lesson 6: Solving Problems by Finding Equivalent Ratios (Video)(Video)

Lesson 7: Associated Ratios and the Value of a Ratio (Video)

Lesson 8: Equivalent Ratios Defined Through the Value of a Ratio (Video)
B Module B Overview

Lesson 9: Tables of Equivalent Ratios (Video)

Lesson 10: The Structure of Ratio Tables-Additive and Multiplicative (Video)

Lesson 11: Comparing Ratios Using Ratio Tables (Video)

Lesson 12: From Ratios Tables to Double Number Line Diagrams (Video)

Lesson 13: From Ratio Tables to Equations Using the Value of the Ratio (Video)

Lesson 14: From Ratio Tables, Equations, and Double Number Line Diagrams to Plots on the Coordinate Plane (Video)

Lesson 15: A Synthesis of Representations of Equivalent Ratio Collections (Video)
Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)
C Module C Overview

Lesson 16: From Ratios to Rates (Video)

Lesson 17: From Rates to Ratios (Video)

Lesson 18: Finding a Rate by Dividing Two Quantities (Video)

Lesson 19, Lesson 20: Comparison Shopping-Unit Price and Related Measurement Conversions (Video) (Video)

Lesson 21, Lesson 22: Getting the Job Done-Speed, Work, and Measurement Units (Video) (Video)

Lesson 23: Problem Solving Using Rates, Unit Rates, and Conversions (Video)
D Module D Overview

Lesson 24: Percent and Rates per 100 (Video)

Lesson 25: A Fraction as a Percent (Video)

Lesson 26: Percent of a Quantity (Video)

Lesson 27, Lesson 28, Lesson 29: Solving Percent Problems (Video) (Video) (Video)
End-of-Module Assessment Topics A through C (assessment 1 day, return 1 day, remediation or further applications 2 days)



Module 2 Topics and Objectives
A Module A Overview

Lesson 1, Lesson 2: Interpreting Division of a Whole Number by a Fraction - Visual Models (Video) (Video)

Lesson 3, Lesson 4: Interpreting and Computing Division of a Fraction by a Fraction - More Models (Video) (Video)

Lesson 5: Creating Division Stories (Video)

Lesson 6: More Division Stories (Video)

Lesson 7: The Relationship Between Visual Fraction Models and Equations (Video)

Lesson 8: Dividing Fractions and Mixed Numbers (Video)
B Module B Overview

Lesson 9: Sums and Differences of Decimals (Video)

Lesson 10: The Distributive Property and Products of Decimals (Video)

Lesson 11: Fraction Multiplication and the Products of Decimals (Video)
Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)
C Module C Overview

Lesson 12: Estimating Digits in a Quotient (Video)

Lesson 13: Dividing Multi-Digit Numbers Using the Algorithm (Video)

Lesson 14: The Division Algorithm: Converting Decimal Division into Whole Number Division Using Fractions (Video)

Lesson 15: The Division Algorithm: Converting Decimal Division into Whole Number Division Using Mental Math (Video)
D Module D Overview

Lesson 16: Even and Odd Numbers (Video)

Lesson 17: Divisibility Tests for 3 and 9 (Video)

Lesson 18: Least Common Multiple and Greatest Common Factor (Video)

Lesson 19: The Euclidean Algorithm as an Application of the Long Division Algorithm (Video)
End-of-Module Assessment Topics A through C (assessment 1 day, return 1 day, remediation or further applications 2 days)


Module 3 Topics and Objectives
A Module A Overview

Lesson 1: Positive and Negative Numbers on the Number Line - Opposite Direction and Value (Video)

Lesson 2, Lesson 3: Real-World Positive and Negative Numbers and Zero (Video) (Video)

Lesson 4: The Opposite of a Number (Video)

Lesson 5: The Opposite of a Number's Opposite (Video)

Lesson 6: Rational Numbers on the Number Line (Video)
B Module B Overview

Lesson 7, Lesson 8: Ordering Integers and Other Rational Numbers (Video)

Lesson 9: Comparing Integers and Other Rational Numbers (Video)

Lesson 10: Writing and Interpreting Inequality Statements Involving Rational Numbers (Video)

Lesson 11: Absolute Value - Magnitude and Distance (Video)

Lesson 12: The Relationship Between Absolute Value and Order (Video)

Lesson 13: Statements of Order in the Real World (Video)
Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)
C Module C Overview

Lesson 14: Ordered Pairs (Video)

Lesson 15: Locating Ordered Pairs on the Coordinate Plane (Video)

Lesson 16: Symmetry in the Coordinate Plane (Video)

Lesson 17: Constructing the Coordinate Plane and Points on the Plane (Video)

Lesson 18: Distance on the Coordinate Plane (Video)

Lesson 19: Problem-Solving and the Coordinate Plane (Video)
End-Module Assessment Topics A through C (assessment 1 day, return 1 day, remediation or further applications 2 days)


Module 4 Topics and Objectives
A Module A Overview

Lesson 1: The Relationship of Addition and Subtraction (Video)

Lesson 2: The Relationship of Multiplication and Division (Video)

Lesson 3: The Relationship of Multiplication and Addition (Video)

Lesson 4: The Relationship of Division and Subtraction (Video)
B Module B Overview

Lesson 5: Exponents (Video)

Lesson 6: The Order of Operations (Video)
C Module C Overview

Lesson 7: Replacing Letters with Numbers (Video)

Lesson 8: Replacing Numbers with Letters (Video)
D Module D Overview

Lesson 9: Writing Addition and Subtraction Expressions (Video)

Lesson 10: Writing and Expanding Multiplication Expressions (Video)

Lesson 11: Factoring Expressions (Video)

Lesson 12: Distributing Expressions (Video)

Lesson 13, Lesson 14: Writing Division Expressions (Video)
E Module E Overview

Lesson 15: Read Expressions in Which Letters Stand for Numbers (Video)

Lesson 16, Lesson 17: Write Expressions in Which Letters Stand for Numbers (Video) (Video)
Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)
F Module F Overview

Lesson 18: Writing and Evaluating Expressions - Addition and Subtraction (Video)

Lesson 19: Substituting to Evaluate Addition and Subtraction Expressions (Video)

Lesson 20: Writing and Evaluating Expressions - Multiplication and Division (Video)

Lesson 21: Writing and Evaluating Expressions - Multiplication and Addition (Video)

Lesson 22: Writing and Evaluating Expressions - Exponents (Video)
G Module G Overview

Lesson 23, Lesson 24: True and False Number Sentences (Video)(Video)

Lesson 25: Finding Solutions to Make Equations True (Video)

Lesson 26: One-Step Equations - Addition and Subtraction (Video)

Lesson 27: One-Step Equations - Multiplication and Division (Video)

Lesson 28: Two-Step Problems - All Operations (Video)

Lesson 29: Multi-Step Problems - All Operations (Video)
H Module H Overview

Lesson 30: One-Step Problems in the Real World (Video)

Lesson 31: Problems in Mathematical Terms (Video)

Lesson 32: Multi-Step Problems in the Real World (Video)

Lesson 33: From Equations to Inequalities (Video)

Lesson 34: Writing and Graphing Inequalities in Real-World Problems (Video)
End-Module Assessment Topics C through E (assessment 1 day, return 1 day, remediation or further applications 2 days)
Module 5 Topics and Objectives
A Module A Overview

Lesson 1: The Area of Parallelograms Through Rectangle Facts (Video)

Lesson 2: The Area of Right Triangles (Video)

Lesson 3, Lesson 4: The Area of All Triangles Using Height and Base (Video) (Video)

Lesson 5: The Area of Polygons Through Composition and Decomposition (Video)

Lesson 6: Area in the Real World (Video)
B Module B Overview

Lesson 7: Distance on the Coordinate Plane (Video)

Lesson 8: Drawing Polygons in the Coordinate Plane (Video)

Lesson 9: Determining Perimeter and Area of Polygons on the Coordinate Plane (Video)

Lesson 10: Distance, Perimeter, and Area in the Real World (Video)
Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)
C Module C Overview

Lesson 11: Volume with Fractional Edge Lengths and Unit Cubes (Video)

Lesson 12: From Unit Cubes to the Formulas for Volume (Video)

Lesson 13: The Formulas for Volume (Video)

Lesson 14: Volume in the Real World (Video)
D Module D Overview

Lesson 15 Representing Three-Dimensional Figures Using Nets (Video)

Lesson 16: Constructing Nets (Video)

Lesson 17: From Nets to Surface Area (Video)

Lesson 18: Determining Surface Area of Three-Dimensional Figures (Video)

Lesson 19: Surface Area and Volume in the Real World (Video)

Lesson 19a: Addendum Lesson for Applying Surface Area and Volume to Aquariums (Optional)
End-Module Assessment Topics A through D (assessment 1 day, return 1 day, remediation or further applications 2 days)
Module 6 Topics and Objectives
A Module A Overview

Lesson 1: Posing Statistical Questions (Video)

Lesson 2: Displaying a Data Distribution (Video)

Lesson 3: Creating a Dot Plot (Video)

Lesson 4: Creating a Histogram (Video)

Lesson 5: Describing a Distribution Displayed in a Histogram (Video)
B Module B Overview

Lesson 6: Describing the Center of a Distribution Using the Mean (Video)

Lesson 7: The Mean as a Balance Point (Video)

Lesson 8: Variability in a Data Distribution (Video)

Lesson 9: The Mean Absolute Deviation (MAD) (Video)

Lesson 10, Lesson 11: Describing Distributions Using the Mean and MAD (Video) (Video)
Mid-Module Assessment Topics A through B (assessment 1 day, return 1 day, remediation or further applications 2 days)
C Module C Overview

Lesson 12: Describing the Center of a Distribution Using the Median (Video)

Lesson 13: Describing Variability Using the Interquartile Range (IQR) (Video)

Lesson 14: Summarizing a Distribution Using a Box Plot (Video)

Lesson 15: More Practice with Box Plots (Video)

Lesson 16: Understanding Box Plots (Video)
D Module D Overview

Lesson 17: Developing a Statistical Project

Lesson 18: Connecting Graphical Representations and Numerical Summaries Understanding Box Plots (Video)

Lesson 19: Comparing Data Distributions (Video)

Lesson 20: Describing Center, Variability, and Shape of a Data Distribution from a Graphical Representation (Video)

Lesson 21: Summarizing a Data Distribution by Describing Center, Variability, and Shape

Lesson 22: Presenting a Summary of a Statistical Project
End-Module Assessment Topics A through D (assessment 1 day, return 1 day, remediation or further applications 2 days)

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