Mr. Neft's Grade 6 Math Curriculum Hub
Family and guardian guide

Family Math Support

Grade 6 Math help for families, parents, and guardians.

Use this page to see what each lesson is about, open the same class resources students use, and find a few calm ways to help at home. The explanations are written for busy families, not math experts.

Unit 1: Number System Launch

Factors, multiples, and decimal operations that help students talk clearly about numbers.

6 lessons
Lesson 1-1 MPP.3

Math is Mine

I can describe the ways we are all doers of math, and compare my math story with a classmate's.

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Lesson 1-2 5.NF.B.4

Math is Exploring and Thinking

I can make sense of a problem, plan a strategy, and use fractions of a whole number to compare quantities.

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Lesson 1-3 5.NBT.B.7

Math is In My World

I can represent a real-world situation with a tape diagram or table and use decimal operations to solve it.

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Lesson 1-4 5.MD.C.5

Math is Explaining and Sharing

I can construct an argument using equations, drawings, or words, and use volume to defend a recommendation.

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Lesson 1-5 5.OA.B.3

Math is Finding Patterns

I can find patterns and pattern rules, use them to make generalizations, and check my solutions with a table of values.

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Lesson 1-6 MPP.3

Math is Ours

I can describe my problem-solving process, name strategies for getting unstuck, and identify the behaviors that make our class a community of math thinkers.

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Unit 2: Fraction Detective Agency

Dividing fractions and mixed numbers with models, stories, and careful reasoning.

12 lessons
Lesson 2-1 6.DS.1

Understand Statistical Questions

I can tell the difference between a statistical question and a non-statistical question.

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Lesson 2-2 6.DS.5

Represent and Describe Data in a Histogram

I can make and read a histogram to display data in intervals.

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Lesson 2-3 6.DS.4

Describe the Data Using the Median

I can find the median of a data set and use it to describe what is typical.

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Lesson 2-4 6.DS.5

Represent and Describe Data in a Box Plot

I can make and read a box plot to summarize a data set.

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Lesson 2-5 6.DS.3

Describe Data by Range and Interquartile Range

I can find the range and the interquartile range of a data set and use them to describe how spread out the data is.

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Lesson 2-6 6.NOS.2

Divide Multi-Digit Numbers Using an Algorithm

I can divide multi-digit whole numbers and explain the meaning of the quotient and remainder.

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Lesson 2-7 6.NOS.3

Divide Decimals Using an Algorithm

I can divide with decimals by making the divisor a whole number first.

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Lesson 2-8 6.DS.4

Describe Data Using the Mean

I can determine the mean of a data set, use a target mean to find a missing value, and explain the mean as the fair share and the balance point of the data.

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Lesson 2-9 6.DS.6c

Describe Data by Mean Absolute Deviation

I can find the mean absolute deviation (MAD) to describe how spread out data is.

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Lesson 2-10 6.DS.6d

Choose Appropriate Measures

I can choose the best measure of center for a data set based on its shape.

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Lesson 2-11 6.NOS.3

Add and Subtract Decimals

I can add and subtract decimals by lining up the place values and the decimal points.

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Lesson 2-12 6.NOS.3

Multiply Decimals

I can multiply decimals and place the decimal point correctly in the product.

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Unit 3: Culinary Academy

Ratios and ratio reasoning through recipes, comparisons, and shared quantities.

10 lessons
Lesson 3-1 6.AT.1

Understand Ratios

I can write and describe a ratio that compares two quantities.

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Lesson 3-2 6.AT.2

Understand Rates and Unit Rates

I can find a unit rate to compare prices and decide the better buy.

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Lesson 3-3 6.AT.3a

Determine Equivalent Ratios Using Tables

I can use a ratio table to find equivalent ratios.

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Lesson 3-4 6.AT.3a

Determine Equivalent Ratios Using Graphs

I can graph the values from a ratio table as points on the coordinate plane.

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Lesson 3-5 6.AT.3

Compare Ratio Relationships

I can compare ratios by finding unit rates or using equivalent ratios.

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Lesson 3-6 6.AT.3

Ratio Reasoning: Convert Measurements within the Same System

I can use ratio reasoning to convert between units within the same measurement system.

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Lesson 3-7 6.AT.3

Ratio Reasoning: Convert Measurements Between Systems

I can use ratio reasoning to convert measurements between the customary and metric systems.

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Lesson 3-8 6.AT.2

Solve Problems with Unit Rates

I can solve real-world problems by using unit rates to compare options.

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Lesson 3-9 6.AT.3

Equivalent Ratios

I can find and check equivalent ratios using multiplication and division.

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Lesson 3-10 6.AT.3c

Convert Measurement Units

I can convert measurement units using ratios and conversion factors.

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Unit 4: Arcade Builder

Rates, unit rates, and percents for shopping, games, speed, and decisions.

5 lessons
Lesson 4-1 6.AT.4

Understand Percent

I can explain a percent as a rate per 100, model it on a decimal grid or tape diagram, and interpret percents greater than 100%.

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Lesson 4-2 6.AT.4

Relate Fractions, Decimals, and Percentages

I can write equivalent fractions, decimals, and percents for the same value.

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Lesson 4-3 6.AT.4

Estimate the Percent of a Number

I can estimate the percent of a number using benchmark percents, rounding, and compatible numbers.

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Lesson 4-4 6.AT.4

Find and Compare with Percentages

I can find the percent of a number using an equation or a model.

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Lesson 4-5 6.AT.4

Determine the Whole Given the Part and Percent

I can determine the whole when I know a part and the percent that part represents.

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Unit 5: Architecture Firm

Area of polygons and composite figures using formulas, drawings, and labels.

10 lessons
Lesson 5-1 6.GR.1

Determine the Area of Parallelograms and Rhombuses

I can find the area of a parallelogram using base × height.

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Lesson 5-2 6.GR.1

Determine the Area of Triangles

I can find the area of a triangle using the formula A = ½ × base × height.

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Lesson 5-3 6.GR.1

Determine the Area of Trapezoids

I can find the area of a trapezoid using the formula A = ½(b1 + b2) × h.

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Lesson 5-4 6.GR.1

Apply Area Concepts to Solve Problems

I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

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Lesson 5-5 6.GR.2

Determine the Volume of Rectangular Prisms

I can find the volume of a rectangular prism with whole-number edges using length × width × height.

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Lesson 5-6 6.GR.4

Represent Three-Dimensional Figures in Two Dimensions

I can find the surface area of a solid by using its net.

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Lesson 5-7 6.GR.4

Determine Surface Area of Prisms

I can find the surface area of rectangular and triangular prisms.

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Lesson 5-8 6.GR.4

Determine Surface Area of Pyramids

I can find the surface area of a pyramid by adding the base area and the lateral faces.

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Lesson 5-9 6.GR.1

Area of Regular Polygons

I can find the area of a regular polygon by decomposing it into triangles.

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Lesson 5-10 6.GR.2

Volume of Rectangular Prisms

I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

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Unit 6: Music Studio

Expressions, exponents, and properties that describe patterns and repeated calculations.

15 lessons
Lesson 6-1 6.NOS.1

Division Expressions with Fractions and Whole Numbers

I can use models to divide a whole number by a fraction and a fraction by a whole number.

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Lesson 6-2 6.NOS.1

Division Expressions with Fractions and Mixed Numbers

I can divide a fraction by a fraction and divide with mixed numbers by multiplying by the reciprocal.

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Lesson 6-3 6.AT.5

Explore Numerical Expressions with Exponents

I can write and evaluate numbers in exponent form using a base and a power.

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Lesson 6-4 6.AT.6c

Write and Evaluate Numerical Expressions with Exponents

I can write numerical expressions from a real situation and evaluate them using the order of operations, including powers.

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Lesson 6-5 6.AT.6a

Write and Evaluate Algebraic Expressions

I can write an algebraic expression for a real situation and evaluate it for a given value of the variable.

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Lesson 6-6 6.AT.7

Identify Equivalent Algebraic Expressions

I can show that two expressions are equivalent by simplifying and combining like terms.

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Lesson 6-7 6.NOS.4

Find Factors and Multiples

I can find the greatest common factor and the least common multiple of two numbers, and use each to solve a real problem.

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Lesson 6-8 6.AT.7

Generate Equivalent Expressions

I can use the commutative, associative, and identity properties to rewrite expressions.

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Lesson 6-9 6.NOS.1

Divide Whole Numbers by Fractions

I can divide a whole number by a fraction by multiplying by the reciprocal.

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Lesson 6-10 6.NOS.1

Divide Mixed Numbers

I can divide mixed numbers by first changing them to improper fractions.

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Lesson 6-11 6.NOS.1

Fraction Division Problem Solving

I can solve real-world problems by writing and solving fraction division equations.

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Lesson 6-12 6.NOS.4

Least Common Multiple

I can find the least common multiple (LCM) of two numbers by listing or comparing their multiples.

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Lesson 6-13 6.NOS.4

Prime Factorization

I can write a number as a product of its prime factors using a factor tree.

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Lesson 6-14 6.AT.7

The Distributive Property

I can use the distributive property to expand and factor expressions.

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Lesson 6-15 6.AT.7

Simplify Algebraic Expressions

I can simplify algebraic expressions by combining like terms.

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Unit 7: Equation Detective Agency

Equations and inequalities that help students represent unknowns and solve fairly.

9 lessons
Lesson 7-1 6.NOS.6

Explore Integers and Their Opposites

I can use integers to represent quantities in everyday life, explain what 0 means in each situation, and name the opposite of an integer on the number line.

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Lesson 7-2 6.NOS.6

Represent Rational Numbers and Their Opposites on the Number Line

I can place rational numbers, including fractions and decimals, on a number line.

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Lesson 7-3 6.NOS.8

Understand Absolute Value of Rational Numbers

I can find the absolute value of a rational number — an integer, fraction, or decimal — as its distance from zero.

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Lesson 7-4 6.NOS.8

Compare and Order Integers and Rational Numbers

I can compare and order integers using a number line.

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Lesson 7-5 6.NOS.6

Represent Rational Numbers on the Coordinate Plane

I can plot and identify points on the coordinate plane using ordered pairs.

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Lesson 7-6 6.NOS.9

Determine Distance on the Coordinate Plane

I can find the distance between two points on the coordinate plane using absolute value.

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Lesson 7-7 6.NOS.9

Represent Polygons on the Coordinate Plane

I can draw polygons from their vertex coordinates on the coordinate plane, and use coordinates to find side lengths and solve perimeter and area problems.

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Lesson 7-8 6.NOS.7

Ordered Pairs in All Four Quadrants

I can plot ordered pairs in all four quadrants of the coordinate plane.

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Lesson 7-9 6.NOS.7

Reflect Points Across Axes

I can reflect points across the x-axis and y-axis on the coordinate plane.

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Unit 8: Sports Analytics Lab

Statistics and data displays that help students summarize and compare information.

7 lessons
Lesson 8-1 6.AT.8

Understand Equations and Their Solutions

I can write an equation for a real situation and check whether a given value is a solution by substituting it.

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Lesson 8-2 6.AT.8

Write and Solve Equations Using Addition or Subtraction

I can solve one-step addition and subtraction equations using inverse operations.

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Lesson 8-3 6.AT.8

Write and Solve Equations Using Multiplication or Division

I can solve one-step multiplication and division equations using inverse operations.

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Lesson 8-4 6.AT.9

Write and Represent Inequalities

I can write inequalities to represent real-world situations.

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Lesson 8-5 6.AT.9

Understand Inequalities and Their Solutions

I can graph the solutions of an inequality on a number line.

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Lesson 8-6 6.AT.8

Solve and Graph Inequalities

I can solve an inequality and graph its solution set on a number line.

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Lesson 8-7 6.AT.8

Equations and Inequalities Problem Solving

I can model and solve real-world problems using equations and inequalities.

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Unit 9: Treasure Map Navigator

Integers and the coordinate plane for direction, distance, and location.

4 lessons
Lesson 9-1 6.AT.11

Explore Relationships Between Two Variables

I can recognize when two quantities change together, and identify which one is the independent variable and which is the dependent variable.

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Lesson 9-2 6.AT.11

Analyze Graphs of Relationships Between Two Variables

I can use a table and a graph to determine and analyze the relationship between two variable quantities.

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Lesson 9-3 6.AT.11

Write Equations to Represent Relationships Between Two Variables

I can write an equation from a table or a graph to model the relationship between the dependent and independent variables.

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Lesson 9-4 6.AT.11

Apply Two-Variable Relationships to Solve Problems

I can write an equation to represent the relationship between two variable quantities and use it to solve a real problem.

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Unit 10: Time Capsule Engineers

Volume and surface area for boxes, packages, containers, and designs.

6 lessons
Lesson 10-1 MPP.3

Math is Everywhere

I can find applications of math outside of school — in professions like being a chef, in hobbies like gardening, and around my own house.

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Lesson 10-2 MPP.7

Math is Beauty

I can use bilateral symmetry to describe structure in nature and in human creations.

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Lesson 10-3 MPP.7

Math is Playful

I can use patterns and relationships to make sense of the Tower of Hanoi puzzle and think logically about its solutions.

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Lesson 10-4 MPP.4

Math is Ingenuity

I can use ratios and models to explain how the Penny Farthing and gear-driven bicycles were ingenious solutions to a real problem.

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Lesson 10-5 MPP.7

Math is Boundless

I can create and describe geometric designs using repetition, patterns, and rhythm, and use a pattern unit to predict what comes next.

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Lesson 10-6 MPP.3

Math is Mine

I can look back at my answers from Lesson 1-1, describe how my math biography has changed this year, and recognize ways we are all doers of math.

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