6.NOS.2 — Multi-Digit Division

Fluently divide multi-digit numbers using the standard algorithm. (Unit 1)

• 1-4 Divide Multi-Digit Numbers — Lesson
• 1-4 Get Ready: Divide Multi-Digit Numbers — Readiness
• Unit 1 Culminating Projects — Project

6.NOS.4 — GCF & LCM

Find the greatest common factor of two whole numbers ≤ 100 and the least common multiple of two whole numbers ≤ 12. Use the distributive property to express a sum of two whole numbers with a common factor. (Unit 1)

• 1-1 Prime Factorization — Lesson
• 1-2 Greatest Common Factor — Lesson
• 1-3 Least Common Multiple — Lesson
• 1-1 Get Ready: Prime Factorization — Readiness
• 1-2 Get Ready: Greatest Common Factor — Readiness
• 1-3 Get Ready: Least Common Multiple — Readiness
• Unit 1 Culminating Projects — Project

6.NOS.5 — Understand positive and negative numbers in real-world contexts.

Understand positive and negative numbers in real-world contexts.

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6.NOS.1 — Dividing Fractions

Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions. (Unit 2)

• 2-1 Interpret Division of Fractions — Lesson
• 2-2 Divide Whole Numbers by Fractions — Lesson
• 2-3 Divide Fractions — Lesson
• 2-4 Divide Mixed Numbers — Lesson
• 2-5 Fraction Division Problem Solving — Lesson
• 2-1 Get Ready: Interpret Division of Fractions — Readiness
• 2-2 Get Ready: Divide Whole Numbers by Fractions — Readiness
• 2-3 Get Ready: Divide Fractions — Readiness
• 2-4 Get Ready: Divide Mixed Numbers — Readiness
• 2-5 Get Ready: Fraction Division Problem Solving — Readiness
• Unit 2 Culminating Projects — Project

6.NOS.3 — Decimal Operations

Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. (Unit 1)

• 1-5 Add and Subtract Decimals — Lesson
• 1-6 Multiply Decimals — Lesson
• 1-7 Divide Decimals — Lesson
• 1-5 Get Ready: Add and Subtract Decimals — Readiness
• 1-6 Get Ready: Multiply Decimals — Readiness
• 1-7 Get Ready: Divide Decimals — Readiness
• Unit 1 Culminating Projects — Project

6.NOS.6 — Rational Numbers on the Line

Understand a rational number as a point on the number line; extend number line diagrams and coordinate axes to represent points with negative number coordinates. (Unit 9)

• 9-1 Graph on the Coordinate Plane — Lesson
• 9-4 Rational Numbers on the Number Line — Lesson
• 9-1 Get Ready: Graph on the Coordinate Plane — Readiness
• 9-4 Get Ready: Rational Numbers on the Number Line — Readiness
• Unit 9 Culminating Projects — Project

6.NOS.6b — Position integers and rationals on number line and coordinate plane.

Position integers and rationals on number line and coordinate plane.

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6.NOS.6c — Opposite signs of numbers; opposite of the opposite.

Opposite signs of numbers; opposite of the opposite.

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6.NOS.8 — Ordering & Absolute Value

Understand ordering and absolute value of rational numbers. (Unit 9)

• 9-2 Integers and Absolute Value — Lesson
• 9-3 Compare and Order Integers — Lesson
• 9-2 Get Ready: Integers and Absolute Value — Readiness
• 9-3 Get Ready: Compare and Order Integers — Readiness
• Unit 9 Culminating Projects — Project

6.NOS.7 — Reflections in Coordinates

Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that ordered pairs differing only by signs are reflections across one or both axes. (Unit 9)

• 9-5 Ordered Pairs in All Four Quadrants — Lesson
• 9-7 Reflect Points Across Axes — Lesson
• 9-5 Get Ready: Ordered Pairs in All Four Quadrants — Readiness
• 9-7 Get Ready: Reflect Points Across Axes — Readiness
• Unit 9 Culminating Projects — Project

6.NOS.8a — Interpret inequality statements about relative position.

Interpret inequality statements about relative position.

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6.NOS.8c — Distinguish comparisons of absolute value from order statements.

Distinguish comparisons of absolute value from order statements.

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6.NOS.8b — Write, interpret, and explain ordering statements in context.

Write, interpret, and explain ordering statements in context.

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6.NOS.9 — Coordinate Plane Problems

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane; use coordinates and absolute value to find distances. (Unit 9)

• 9-6 Distance on the Coordinate Plane — Lesson
• 9-6 Get Ready: Distance on the Coordinate Plane — Readiness
• Unit 9 Culminating Projects — Project

6.AT.1 — Ratio Concept

Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. (Unit 3)

• 3-1 Understand Ratios — Lesson
• 3-1 Get Ready: Understand Ratios — Readiness
• Unit 3 Culminating Projects — Project

6.AT.5 — Exponents

Write and evaluate numerical expressions involving whole-number exponents. (Unit 6)

• 6-1 Powers and Exponents — Lesson
• 6-1 Get Ready: Powers and Exponents — Readiness
• Unit 6 Culminating Projects — Project

6.AT.6 — Write, read, and evaluate expressions with letters for numbers.

Write, read, and evaluate expressions with letters for numbers.

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6.AT.2 — Unit Rate

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. (Unit 4)

• 4-1 Rates and Unit Rates — Lesson
• 4-7 Solve Problems with Unit Rates — Lesson
• 4-1 Get Ready: Rates and Unit Rates — Readiness
• 4-7 Get Ready: Solve Problems with Unit Rates — Readiness
• Unit 4 Culminating Projects — Project

6.AT.6a — Writing Expressions

Write expressions that record operations with numbers and with letters standing for numbers. (Unit 6)

• 6-3 Write Algebraic Expressions — Lesson
• 6-3 Get Ready: Write Algebraic Expressions — Readiness
• Unit 6 Culminating Projects — Project

6.AT.6b — Identify parts of an expression (terms, factors, coefficients).

Identify parts of an expression (terms, factors, coefficients).

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6.AT.6c — Evaluating Expressions

Evaluate expressions at specific values of their variables, including expressions that arise from formulas used in real-world problems. (Unit 6)

• 6-2 Evaluate Expressions — Lesson
• 6-2 Get Ready: Evaluate Expressions — Readiness
• Unit 6 Culminating Projects — Project

6.AT.3 — Ratio & Rate Reasoning

Use ratio and rate reasoning to solve real-world and mathematical problems. (Unit 3)

• 3-4 Equivalent Ratios — Lesson
• 3-5 Compare Ratios — Lesson
• 3-6 Use Ratio Reasoning — Lesson
• 3-7 Ratio and Rate Problem Solving — Lesson
• 3-4 Get Ready: Equivalent Ratios — Readiness
• 3-5 Get Ready: Compare Ratios — Readiness
• 3-6 Get Ready: Use Ratio Reasoning — Readiness
• 3-7 Get Ready: Ratio and Rate Problem Solving — Readiness
• Unit 3 Culminating Projects — Project

6.AT.7 — Equivalent Expressions

Apply the properties of operations to generate equivalent expressions. (Unit 6)

• 6-4 Properties of Operations — Lesson
• 6-5 The Distributive Property — Lesson
• 6-6 Equivalent Expressions — Lesson
• 6-7 Simplify Algebraic Expressions — Lesson
• 6-4 Get Ready: Properties of Operations — Readiness
• 6-5 Get Ready: The Distributive Property — Readiness
• 6-6 Get Ready: Equivalent Expressions — Readiness
• 6-7 Get Ready: Simplify Algebraic Expressions — Readiness
• Unit 6 Culminating Projects — Project

6.AT.3a — Ratio Tables

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. (Unit 3)

• 3-2 Ratio Tables — Lesson
• 3-3 Graph Ratio Tables — Lesson
• 3-2 Get Ready: Ratio Tables — Readiness
• 3-3 Get Ready: Graph Ratio Tables — Readiness
• Unit 3 Culminating Projects — Project

6.AT.3c — Measurement Conversion

Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities. (Unit 4)

• 4-6 Convert Measurement Units — Lesson
• 4-6 Get Ready: Convert Measurement Units — Readiness
• Unit 4 Culminating Projects — Project

6.AT.4 — Percent of a Quantity

Find a percent of a quantity as a rate per 100; solve problems involving finding the whole, given a part and the percent. (Unit 4)

• 4-2 Relate Fractions, Decimals, and Percents — Lesson
• 4-3 Percents Greater Than 100% and Less Than 1% — Lesson
• 4-4 Find the Percent of a Number — Lesson
• 4-5 Use Percent to Solve Problems — Lesson
• 4-2 Get Ready: Relate Fractions, Decimals, and Percents — Readiness
• 4-3 Get Ready: Percents Greater Than 100% and Less Than 1% — Readiness
• 4-4 Get Ready: Find the Percent of a Number — Readiness
• 4-5 Get Ready: Use Percent to Solve Problems — Readiness
• Unit 4 Culminating Projects — Project

6.AT.8 — Solutions of Equations & Inequalities

Understand solving an equation or inequality as a process of answering which values make it true; use substitution to determine whether a given number makes an equation or inequality true. (Unit 7)

• 7-1 Write Equations — Lesson
• 7-2 Solve One-Step Addition and Subtraction Equations — Lesson
• 7-3 Solve Multiplication and Division Equations — Lesson
• 7-6 Solve and Graph Inequalities — Lesson
• 7-7 Equations and Inequalities Problem Solving — Lesson
• 7-1 Get Ready: Write Equations — Readiness
• 7-2 Get Ready: Solve One-Step Addition and Subtraction Equations — Readiness
• 7-3 Get Ready: Solve Multiplication and Division Equations — Readiness
• 7-6 Get Ready: Solve and Graph Inequalities — Readiness
• 7-7 Get Ready: Equations and Inequalities Problem Solving — Readiness
• Unit 7 Culminating Projects — Project

6.AT.11 — Represent relationships between dependent and independent variables.

Represent relationships between dependent and independent variables.

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6.AT.9 — Inequalities

Write an inequality of the form x > c or x < c to represent a constraint or condition; recognize that such inequalities have infinitely many solutions; represent solutions on number line diagrams. (Unit 7)

• 7-4 Write Inequalities — Lesson
• 7-5 Graph Inequalities — Lesson
• 7-4 Get Ready: Write Inequalities — Readiness
• 7-5 Get Ready: Graph Inequalities — Readiness
• Unit 7 Culminating Projects — Project

6.GR.1 — Area

Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes. (Unit 5)

• 5-1 Area of Parallelograms — Lesson
• 5-2 Area of Trapezoids — Lesson
• 5-3 Area of Triangles — Lesson
• 5-4 Area of Regular Polygons — Lesson
• 5-5 Area of Composite Figures — Lesson
• 5-1 Get Ready: Area of Parallelograms — Readiness
• 5-2 Get Ready: Area of Trapezoids — Readiness
• 5-3 Get Ready: Area of Triangles — Readiness
• 5-4 Get Ready: Area of Regular Polygons — Readiness
• 5-5 Get Ready: Area of Composite Figures — Readiness
• Unit 5 Culminating Projects — Project

6.GR.2 — Volume

Find the volume of a right rectangular prism with fractional edge lengths; apply the formulas V = l·w·h and V = b·h to find volumes of right rectangular prisms. (Unit 10)

• 10-1 Volume with Whole Number Edges — Lesson
• 10-2 Volume of Rectangular Prisms — Lesson
• 10-1 Get Ready: Volume with Whole Number Edges — Readiness
• 10-2 Get Ready: Volume of Rectangular Prisms — Readiness
• Unit 10 Culminating Projects — Project

6.GR.4 — Surface Area & Nets

Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. (Unit 10)

• 10-3 Surface Area Using Nets — Lesson
• 10-4 Surface Area of Prisms — Lesson
• 10-5 Surface Area of Pyramids — Lesson
• 10-3 Get Ready: Surface Area Using Nets — Readiness
• 10-4 Get Ready: Surface Area of Prisms — Readiness
• 10-5 Get Ready: Surface Area of Pyramids — Readiness
• Unit 10 Culminating Projects — Project

6.GR.3 — Draw polygons in the coordinate plane; find side lengths.

Draw polygons in the coordinate plane; find side lengths.

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6.DS.1 — Statistical Questions

Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. (Unit 8)

• 8-1 Statistical Questions and Data — Lesson
• 8-1 Get Ready: Statistical Questions and Data — Readiness
• Unit 8 Culminating Projects — Project

6.DS.3 — Distributions

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. (Unit 8)

• 8-7 Shape of Data Distributions — Lesson
• 8-7 Get Ready: Shape of Data Distributions — Readiness
• Unit 8 Culminating Projects — Project

6.DS.4 — Measures of Center & Variability

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. (Unit 8)

• 8-2 Mean, Median, and Mode — Lesson
• 8-2 Get Ready: Mean, Median, and Mode — Readiness
• Unit 8 Culminating Projects — Project

6.DS.5 — Data Displays

Display numerical data in plots on a number line, including dot plots, histograms, and box plots. (Unit 8)

• 8-5 Display Data: Box Plots — Lesson
• 8-6 Display Data: Histograms — Lesson
• 8-5 Get Ready: Display Data: Box Plots — Readiness
• 8-6 Get Ready: Display Data: Histograms — Readiness
• Unit 8 Culminating Projects — Project

6.DS.6 — Summarize numerical data sets in relation to their context.

Summarize numerical data sets in relation to their context.

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6.DS.6a — Report the number of observations.

Report the number of observations.

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6.DS.6b — Describe the nature of the attribute and units of measurement.

Describe the nature of the attribute and units of measurement.

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6.DS.6c — Summarizing Data Sets

Summarize numerical data sets by giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation). (Unit 8)

• 8-3 Mean Absolute Deviation — Lesson
• 8-3 Get Ready: Mean Absolute Deviation — Readiness
• Unit 8 Culminating Projects — Project

6.DS.6d — Relating Measures to Context

Relate the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered. (Unit 8)

• 8-4 Appropriate Measures — Lesson
• 8-4 Get Ready: Appropriate Measures — Readiness
• Unit 8 Culminating Projects — Project