Colorado Extended Evidence Outcomes: Grade 6
Skills available for Colorado Grade 6 math standards
Section
Print skill plan
6.1
Number and Quantity
6.RP.A Ratios & Proportional Relationships: Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.1 Apply the concept of a ratio and use ratio language or actions to describe a ratio relationship between two quantities up to at least 5 each.
Fractions of a group
Ratios
6.RP.A.1 Apply the concept of a ratio and use ratio language or actions to describe a ratio relationship between two quantities up to at least 5 each.
Fractions of a group
Ratios
6.RP.A.2 Apply the concept of a unit rate and use rate language and/or written representations in the context of a ratio relationship.
6.RP.A.2 Apply the concept of a unit rate and use rate language and/or written representations in the context of a ratio relationship.
6.RP.A.3 Use ratio and rate reasoning to solve real-world problems, e.g., by reasoning about tables of equivalent ratios.
Equivalent fractions
Equivalent units of measure
Equivalent ratios
6.RP.A.3 Use ratio and rate reasoning to solve real-world problems, e.g., by reasoning about tables of equivalent ratios.
Equivalent fractions
Equivalent units of measure
Equivalent ratios
6.NS.A The Number System: Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
6.NS.A.1 Illustrate quotients of fractions, and solve word problems involving division of a larger benchmark fraction by a smaller benchmark fraction resulting in whole-number quotients, e.g., by using visual fraction models to represent division in problems like 3/4 divided by 1/4.
Understand the composition of fractions
Divide by unit fractions
6.NS.A.1 Illustrate quotients of fractions, and solve word problems involving division of a larger benchmark fraction by a smaller benchmark fraction resulting in whole-number quotients, e.g., by using visual fraction models to represent division in problems like 3/4 divided by 1/4.
Understand the composition of fractions
Divide by unit fractions
6.NS.B The Number System: Compute fluently with multi-digit numbers and find common factors and multiples.
6.NS.B.2 Divide multi-digit numbers using illustrations or demonstrations of fair share and equal share strategies.
Division facts
Divide 2-digit numbers
Remainders
6.NS.B.2 Divide multi-digit numbers using illustrations or demonstrations of fair share and equal share strategies.
Division facts
Divide 2-digit numbers
Remainders
6.NS.B.3 Add, subtract, multiply, and divide numbers less than ten with one or two decimal places using appropriate strategies for each operation and/or a calculator.
Place value
Add decimals
Subtract decimals
Add and subtract decimals
Multiply decimals and whole numbers
Multiply two decimals
Divide decimals
6.NS.B.3 Add, subtract, multiply, and divide numbers less than ten with one or two decimal places using appropriate strategies for each operation and/or a calculator.
Place value
Add decimals
Subtract decimals
Add and subtract decimals
Multiply decimals and whole numbers
Multiply two decimals
Divide decimals
6.NS.B.4 Find common factors of two whole numbers less than or equal to 20 and common multiples of two whole numbers less than or equal to 10.
Factors
Multiples
6.NS.B.4 Find common factors of two whole numbers less than or equal to 20 and common multiples of two whole numbers less than or equal to 10.
Factors
Multiples
6.NS.C The Number System: Apply and extend previous understandings of numbers to the system of rational numbers.
6.NS.C.5 Identify positive and negative numbers that are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge).
6.NS.C.5 Identify positive and negative numbers that are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge).
6.NS.C.6 Identify integers on a number line.
6.NS.C.6 Identify integers on a number line.
6.NS.C.6.a: Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative integer coordinates.
6.NS.C.6.a: Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative integer coordinates.
6.NS.C.6.b: Use opposite signs of numbers indicating locations on opposite sides of 0 on the number line
6.NS.C.6.b: Use opposite signs of numbers indicating locations on opposite sides of 0 on the number line
6.NS.C.6.c: Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane.
6.NS.C.6.c: Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane.
6.NS.C.6.d: Find and position integers on a horizontal or vertical number line diagram.
6.NS.C.6.d: Find and position integers on a horizontal or vertical number line diagram.
6.NS.C.6.e: Find and position pairs of integers on a coordinate plane.
6.NS.C.6.e: Find and position pairs of integers on a coordinate plane.
6.NS.C.7 Order and find absolute value of integers between –10 and 10.
6.NS.C.7 Order and find absolute value of integers between –10 and 10.
6.NS.C.7.a: Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.
6.NS.C.7.a: Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram.
6.NS.C.7.c: Relate negative values to a real-world situation, such as –2 could represent owing someone two dollars.
6.NS.C.7.c: Relate negative values to a real-world situation, such as –2 could represent owing someone two dollars.
6.NS.C.8 Solve real-world and mathematical problems represented by graphed integer-coordinate points in all four quadrants of the coordinate plane.
6.NS.C.8 Solve real-world and mathematical problems represented by graphed integer-coordinate points in all four quadrants of the coordinate plane.
6.NS.C.8.a: Find distances between points with the same first coordinate or the same second coordinate.
6.NS.C.8.a: Find distances between points with the same first coordinate or the same second coordinate.
6.2
Algebra and Functions
6.EE.A Expressions & Equations: Apply and extend previous understandings of arithmetic to algebraic expressions.
6.EE.A.1 Write and evaluate numerical expressions involving single-digit integer factors, like –4 × 3 can mean 3 groups of –4, which totals –12.
6.EE.A.1 Write and evaluate numerical expressions involving single-digit integer factors, like –4 × 3 can mean 3 groups of –4, which totals –12.
6.EE.A.2 Read and evaluate expressions in which letters stand for numbers.
6.EE.A.2 Read and evaluate expressions in which letters stand for numbers.
6.EE.A.2.a: Identify parts of an expression that indicate operations (add, subtract, multiply, divide).
6.EE.A.2.a: Identify parts of an expression that indicate operations (add, subtract, multiply, divide).
6.EE.A.2.b: Evaluate expressions at specific values of their variables.
6.EE.A.2.b: Evaluate expressions at specific values of their variables.
6.EE.A.2.c: Perform arithmetic operations in the conventional order.
6.EE.A.2.c: Perform arithmetic operations in the conventional order.
6.EE.A.3 Apply the properties of operations to identify given equivalent expressions using single-digit integers.
Addition properties
Multiplication properties
6.EE.A.3 Apply the properties of operations to identify given equivalent expressions using single-digit integers.
Addition properties
Multiplication properties
6.EE.A.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).
6.EE.A.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).
6.EE.B Expressions & Equations: Reason about and solve one-variable equations and inequalities.
6.EE.B.5 Answer the question: Which values from a specified set make the equation true?
6.EE.B.5 Answer the question: Which values from a specified set make the equation true?
6.EE.B.5.a: Use substitution to determine whether a given number in a specified set makes an equation true.
6.EE.B.5.a: Use substitution to determine whether a given number in a specified set makes an equation true.
6.EE.B.6 Identify or match an expression using variables to a real-world problem.
6.EE.B.6 Identify or match an expression using variables to a real-world problem.
6.EE.B.7 Solve real-world and mathematical problems by solving equations of the form x ± p = q and px = q for cases in which p, q and x are all whole numbers.
Addition and subtraction
Multiplication
6.EE.B.7 Solve real-world and mathematical problems by solving equations of the form x ± p = q and px = q for cases in which p, q and x are all whole numbers.
Addition and subtraction
Multiplication
6.EE.B.8 Evaluate an inequality of the form x > c or x < c that represents a real-world or mathematical problem.
6.EE.B.8 Evaluate an inequality of the form x > c or x < c that represents a real-world or mathematical problem.
6.EE.C Expressions & Equations: Represent and analyze quantitative relationships between dependent and independent variables.
6.EE.C.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another.
6.EE.C.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another.
6.EE.C.9.a: Analyze the relationship between variables using a table, such as a 2-column table with on column labeled with each variable.
6.EE.C.9.a: Analyze the relationship between variables using a table, such as a 2-column table with on column labeled with each variable.
6.3
Data, Statistics, and Probability
6.SP.A Statistics & Probability: Develop understanding of statistical variability.
6.SP.A.1 Match statistical questions to appropriate sources of data.
6.SP.A.1 Match statistical questions to appropriate sources of data.
6.SP.A.2 Match statistical questions to a distribution of data that can be described by its center, spread, and overall shape.
6.SP.A.2 Match statistical questions to a distribution of data that can be described by its center, spread, and overall shape.
6.SP.A.3 Match given measures of center (mean or median) and variation (range) to a display of a data distribution.
6.SP.A.3 Match given measures of center (mean or median) and variation (range) to a display of a data distribution.
6.SP.B Statistics & Probability: Summarize and describe distributions.
6.SP.B.4 Display data in plots on a number line, including dot plots and histograms.
6.SP.B.4 Display data in plots on a number line, including dot plots and histograms.
6.SP.B.5 Summarize numerical data sets by counting the number of observations, identifying the largest and smallest observations, and informally identifying observations near the center.
6.SP.B.5 Summarize numerical data sets by counting the number of observations, identifying the largest and smallest observations, and informally identifying observations near the center.
6.SP.B.5.a: Interpret these values in a real-world context.
6.SP.B.5.a: Interpret these values in a real-world context.
6.4
Geometry
6.G.A Geometry: Solve real-world and mathematical problems involving area, surface area, and volume.
6.G.A.1 Find the area of right triangles, other triangles, parallelograms, and trapezoids by composing into rectangles or decomposing into triangles and other shapes.
6.G.A.1 Find the area of right triangles, other triangles, parallelograms, and trapezoids by composing into rectangles or decomposing into triangles and other shapes.
6.G.A.1.a: Apply these techniques in the context of solving real-world and mathematical problems.
Parallelograms
Trapezoids
Triangles
6.G.A.1.a: Apply these techniques in the context of solving real-world and mathematical problems.
Parallelograms
Trapezoids
Triangles
6.G.A.2 Find the volume of a right rectangular prism with whole number edge lengths by packing it with unit cubes and show that the volume is the same as would be found by multiplying the edge lengths of the prism.
6.G.A.2 Find the volume of a right rectangular prism with whole number edge lengths by packing it with unit cubes and show that the volume is the same as would be found by multiplying the edge lengths of the prism.
6.G.A.3 Create polygons in the coordinate plane given coordinates for the vertices.
6.G.A.3 Create polygons in the coordinate plane given coordinates for the vertices.
6.G.A.4 Represent three-dimensional figures using nets made up of rectangles, and use the nets to find the surface area of these figures.
6.G.A.4 Represent three-dimensional figures using nets made up of rectangles, and use the nets to find the surface area of these figures.