6th Grade Grade Level Goals
Everyday Mathematics third-edition Grade Level Goals have been revised to align with the Common Core State Standards for Mathematics (CCSS-M), which were widely adopted in 2010. Both versions of the curriculum's goals are available below. For more information on standards, please see Meeting Standards with Everyday Mathematics.
Common Core State Standards (CCSS) Edition Grade Level Goals
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Number and Numeration
| Program Goal | Content Thread | Grade-Level Goal |
|---|---|---|
| Understand the Meanings, Uses, and Representations of Numbers | Place value and notation | Read and write whole numbers and decimals; identify places in such numbers and the values of the digits in those places; use expanded notation, number-and-word notation, exponential notation, and scientific notation to represent whole numbers and decimals. |
| Meanings and uses of fractions | Solve problems involving percents and discounts; explain strategies used; identify the unit whole in situations involving fractions, decimals, and percents. | |
| Number theory | Use GCFs, LCMs, and divisibility rules to manipulate fractions. | |
| Understand Equivalent Names for Numbers | Equivalent names for whole numbers | Apply the order of operations to numerical expressions to give equivalent names for rational numbers. |
| Equivalent names for fractions, decimals, and percents | Find equivalent fractions and fractions in simplest form by applying multiplication and division rules and concepts from number theory; convert between fractions, mixed numbers, decimals, and percents. | |
| Understand Common Numerical Relations | Comparing and ordering numbers | Choose and apply strategies for comparing and ordering rational numbers; explain those choices and strategies. |
Operations and Computation
| Program Goal | Content Thread | Grade-Level Goal |
|---|---|---|
| Compute Accurately | Addition and subtraction procedures | Use mental arithmetic, paper-and pencil algorithms and models, and calculators to solve problems involving the addition and subtraction of whole numbers, decimals, and signed numbers; describe the strategies used and explain how they work. |
| Multiplication and division procedures | Use mental arithmetic, paper-and-pencil algorithms and models, and calculators to solve problems involving the multiplication and division of whole numbers, decimals, and signed numbers; describe the strategies used and explain how they work. | |
| Procedures for addition and subtraction of fractions | Use mental arithmetic, paper-and-pencil algorithms and models, and calculators to solve problems involving the addition and subtraction of fractions and mixed numbers; describe the strategies used and explain how they work. | |
| Procedures for multiplication and division of fractions | Use mental arithmetic, paper-and-pencil algorithms and models, and calculators to solve problems involving the multiplication and division of fractions and mixed numbers; describe the strategies used and explain how they work. | |
| Make Reasonable Estimates | Computational estimation | Make reasonable estimates for whole number, decimal, fraction, and mixed number addition, subtraction, multiplication, and division problems; explain how the estimates were obtained. |
| Understand Meanings of Operations | Models for the operations | Use ratios and scaling to model size changes and to solve size-change problems; represent ratios as fractions, percents, and decimals, and using a colon; model and solve problems involving part-to-whole and part-to-part ratios; model rate and ratio number stories with proportions; use and explain cross multiplication and other strategies to solve proportions. |
Data and Chance
| Program Goal | Content Thread | Grade-Level Goal |
|---|---|---|
| Select and Create Appropriate Graphical Representations of Collected or Given Data | Data collection and representation | Collect and organize data or use given data to create graphic displays with reasonable titles, labels, keys, and intervals. |
| Analyze and Interpret Data | Data analysis | Use data landmarks, measures of spread, and graphs to ask and answer questions, draw conclusions, and make predictions; compare and contrast the median and mean of a data set. |
| Understand and Apply Basic Concepts of Probability | Quantitative probability | Use the Multiplication Counting Principle, tree diagrams, and other counting strategies to identify all possible outcomes for a situation; predict results of experiments, test the predictions using manipulatives, and summarize the findings; compare predictions based theoretical probability with experimental results; calculate probabilities and express them as fractions, decimals, and percents; explain how sample size affects results; use the results to predict future events. |
Measurement and Reference Frames
| Program Goal | Content Thread | Grade-Level Goal |
|---|---|---|
| Understand the Systems and Processes of Measurement; Use Appropriate Techniques, Tools, Units, and Formulas in Making Measurements | Length, weight, and angles | Estimate length with and without tools; measure length with tools to the nearest 1/16 inch and millimeter; estimate the measure of angles with and without tools; use tools to draw angles with given measures. |
| Area, perimeter, volume, and capacity | Choose and use appropriate formulas to calculate the circumference of circles and to solve area, perimeter, and volume problems. | |
| Use and Understand Reference Frames | Coordinate systems | Use ordered pairs of numbers to name, locate, and plot points in all four quadrants of a coordinate grid. |
Geometry
| Program Goal | Content Thread | Grade-Level Goal |
|---|---|---|
| Investigate Characteristics and Properties of Two- and Three-Dimensional Geometric Shapes | Lines and angles | Identify, describe, classify, name and draw angles; determine angle measures by applying properties of orientations of angles and of sums of angle measures in triangles and quadrangles. |
| Plane and solid figures | Identify and describe similar and congruent figures and describe their properties; construct a figure that is congruent to another figure using a compass and straightedge. | |
| Apply Transformations and Symmetry in Geometric Situations | Transformations and symmetry | Identify, describe, and sketch (including plotting on the coordinate plane) instances of reflections, translations, and rotations. |
Patterns, Functions, and Algebra
| Program Goal | Content Thread | Grade-Level Goal |
|---|---|---|
| Understand Patterns and Functions | Patterns and functions | Extend, describe, and create numeric patterns; describe rules for patterns and use them to solve problems; represent patterns and rules using algebraic notation; represent functions using words, algebraic notation, tables, and graphs; translate from one representation to another and use representations to solve problems involving functions. |
| Use Algebraic Notation to Represent and Analyze Situations and Structures | Algebraic notation and solving number sentences | Determine whether equalities and inequalities are true or false; solve open number sentences and explain the solutions; use a pan-balance model to solve linear equations in one or two unknowns; use trial-and-error and equivalent equations strategies to solve linear equations in one unknown. |
| Order of operations | Describe and apply the conventional order of operations. | |
| Properties of the arithmetic operations | Describe and apply properties of arithmetic and multiplicative and additive inverses. |
3rd Edition Grade Level Goals
| Collapse All
Number and Numeration
| Program Goal | Content Thread | Grade-Level Goal |
|---|---|---|
| Understand the Meanings, Uses, and Representations of Numbers | Place value and notation | Read and write whole numbers and decimals; identify places in such numbers and the values of the digits in those places; use expanded notation, number-and-word notation, exponential notation, and scientific notation to represent whole numbers and decimals. |
| Meanings and uses of fractions | Solve problems involving percents and discounts; describe and explain strategies used; identify the unit whole in situations involving fractions, decimals, and percents. | |
| Number theory | Use GCFs, LCMs, and divisibility rules to manipulate fractions. | |
| Understand Equivalent Names and Numbers | Equivalent names for whole numbers | Apply the order of operations to numerical expressions to give equivalent names for rational numbers. |
| Equivalent names for fractions, decimals, and percents | Find equivalent fractions and fractions in simplest form by applying multiplication and division rules and concepts from number theory; convert between fractions, mixed numbers, decimals, and percents. | |
| Understand Common Numerical Relations | Comparing and ordering numbers | Choose and apply strategies for comparing and ordering rational numbers; explain those choices and strategies. |
Operations and Computation
| Program Goal | Content Thread | Grade-Level Goal |
|---|---|---|
| Computes Accurately | Addition and subtraction procedures | Use mental arithmetic, paper-and-pencil algorithms, and calculators to solve problems involving the addition and subtraction of whole numbers, decimals, and signed numbers; describe the strategies used and explain how they work. |
| Multiplication and division procedures | Use mental arithmetic, paper-and-pencil algorithms, and calculators to solve problems involving the multiplication and division of whole numbers, decimals, and signed numbers; describe the strategies used and explain how they work. | |
| Procedures for addition and subtraction of fractions | Use mental arithmetic, paper-and-pencil algorithms, and calculators to solve problems involving the addition and subtraction of fractions and mixed numbers; describe the strategies used and explain how they work. | |
| Procedures for multiplication and division of fractions | Use mental arithmetic, paper-and-pencil algorithms, and calculators to solve problems involving the multiplication and division of fractions and mixed numbers; describe the strategies used and explain how they work. | |
| Make Reasonable Estimates | Computational estimation | Make reasonable estimates for whole number, decimal, fraction, and mixed number addition, subtraction, multiplication, and division problems; explain how the estimates were obtained. |
| Understand Meanings of Operations | Models for the operations | Use ratios and scaling to model size changes and to solve size-change problems; represent ratios as fractions, percents, and decimals, and using a colon; model and solve problems involving part-to-whole and part-to-part ratios; model rate and ratio number stories with proportions; use and explain cross multiplication and other strategies to solve proportions. |
Data and Chance
| Program Goal | Content Thread | Grade-Level Goal |
|---|---|---|
| Select and Create Appropriate Graphical Representations of Collected or Given Data | Data collection and representation | Collect and organize data or use given data to create bar, line, circle, and stem-and-leaf graphs with reasonable titles, labels, keys, and intervals. |
| Analyze and Interpret Data | Data analysis | Use the minimum, range, median, mode, and mean and graphs to ask and answer questions, draw conclusions, and make predictions; compare and contrast the median and mean of a data set. |
| Understand and Apply Basic Concepts of Probability | Quantitative probability | Use the Multiplication Counting Principle, tree diagrams, and other counting strategies to identify all possible outcomes for a situation; predict results of experiments, test the predictions using maipulatives, and summarize the findings; compare predictions based theoretical probability with experimental results; calculate probabilities and express them as fractions, decimals, and precents; explain how sample size affects results; use the results to predict future events. |
Measurement and Reference Frames
| Program Goal | Content Thread | Grade-Level Goal |
|---|---|---|
| Understand the Systems and Processes of Measurement; Use Appropriate Techniques, Tools, Units, and Formulas in Making Measurements | Length, weight, and angles | Estimate length with and without tools; measure length to the nearest 1/16 inch and millimeter; estimate the measures of angles with and without tools; use tools to draw angles with given measures. |
| Area, perimeter, volume, and capacity | Choose and use appropriate formulas to calculate the circumference of circles and to solve area, perimeter, and volume problems. | |
| Use and Understand Reference Frames | Coordinate systems | Use ordered pairs of numbers to name, locate, and plot points, in the all four quadrants of a coordinate grid. |
Geometry
| Program Goal | Content Thread | Grade-Level Goal |
|---|---|---|
| Investigate Characteristics and Properties of Two- and Three-Dimensional Geometric Shapes | Lines and angles | Identify, describe, classify, name and draw angles; determine angle measures by applying properties of orientations of angles and of sums of angle measures in triangles and quadrangles. |
| Plane and solid figures | Identify and describe similar and congruent figures and describe their properies; construct a figure that is ocngruent to another figure using a compass and straightedge. | |
| Apply Transformations and Symmetry in Geometric Situations | Transformations and symmetry | Identify, describe, and sketch (including plotting on the coordinate plane) instances of reflections, translations, and rotations. |
Patterns, Functions, and Algebra
| Program Goal | Content Thread | Grade-Level Goal |
|---|---|---|
| Understand Patterns and Functions | Patterns and functions | Extend, describe, and create numeric patterns; describe rules for patterns and use them to solve problems; represent patterns and rules using algebraic notation; represent functions using words, algebraic notation, tables, and graphs; translate from one representation to another and use representations to solve problems involving functions. |
| Use Algebraic Notation to Represent and Analyze Situations and Structures | Algebraic notation and solving number sentences | Determine whether equalities and inequalities are true or false; solve open number sentences and explain the solutions; use a pan-balance model to solve linear equations in one or two unknowns; use trial -and-error and equivalent equation strategies to solve linear equations in one unknown. |
| Order of operations | Describe and apply the conventional order of operations. | |
| Properties of the arithmetic operations | Describe and apply properties of arithmetic and multiplicative and additive inverses. |
