WV- CC Grade 8 Quantiles
EdgenuityName
Making Tables
Graphing on the Coordinate Plane
Interpreting Graphs
Standard ID Description
8.F.2
Compare properties of two functions each represented in a different way (algebraically,
graphically, numerically in tables, or by verbal descriptions).
8.F.2
Compare properties of two functions each represented in a different way (algebraically,
graphically, numerically in tables, or by verbal descriptions).
8.F.5
Describe qualitatively the functional relationship between two quantities by analyzing a graph
(e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that
exhibits the qualitative features of a function that has been described verbally.
Quantile
1140Q
1140Q
1150Q
Tables, Graphs, and Equations
8.F.4
Introduction to Functions
8.F.1
Linear vs. Nonlinear Functions
8.F.1
Understand that a function is a rule that assigns to each input exactly one output. The graph of 1190Q
a function is the set of ordered pairs consisting of an input and the corresponding output.
8.F.3
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line;
give examples of functions that are not linear.
Compare properties of two functions each represented in a different way (algebraically,
graphically, numerically in tables, or by verbal descriptions).
Construct a function to model a linear relationship between two quantities. Determine the rate
of change and initial value of the function from a description of a relationship or from two (x,
y) values, including reading these from a table or from a graph. Interpret the rate of change and
initial value of a linear function in terms of the situation it models, and in terms of its graph or
a table of values.
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare
two different proportional relationships represented in different ways.
Construct a function to model a linear relationship between two quantities. Determine the rate
of change and initial value of the function from a description of a relationship or from two (x,
y) values, including reading these from a table or from a graph. Interpret the rate of change and
initial value of a linear function in terms of the situation it models, and in terms of its graph or
a table of values.
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare
two different proportional relationships represented in different ways.
Constructing Linear Functions
8.F.2
8.F.4
Rate of Change and Introduction to Slope
8.EE.5
Exploring Slope
8.F.4
Proportional Relationships
8.EE.5
Construct a function to model a linear relationship between two quantities. Determine the rate 1140Q
of change and initial value of the function from a description of a relationship or from two (x,
y) values, including reading these from a table or from a graph. Interpret the rate of change and
initial value of a linear function in terms of the situation it models, and in terms of its graph or
a table of values.
Understand that a function is a rule that assigns to each input exactly one output. The graph of 1190Q
a function is the set of ordered pairs consisting of an input and the corresponding output.
850Q
1140Q
1140Q
1140Q
1140Q
1140Q
WV- CC Grade 8 Quantiles
Slope Intercept Form
8.EE.6
Use similar triangles to explain why the slope m is the same between any two distinct points on 1140Q
a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the
origin and the equation y = mx + b for a line intercepting the vertical axis at b.
8.F.1
Understand that a function is a rule that assigns to each input exactly one output. The graph of 1190Q
a function is the set of ordered pairs consisting of an input and the corresponding output.
8.F.3
Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line;
give examples of functions that are not linear.
Construct a function to model a linear relationship between two quantities. Determine the rate
of change and initial value of the function from a description of a relationship or from two (x,
y) values, including reading these from a table or from a graph. Interpret the rate of change and
initial value of a linear function in terms of the situation it models, and in terms of its graph or
a table of values.
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare
two different proportional relationships represented in different ways.
Construct a function to model a linear relationship between two quantities. Determine the rate
of change and initial value of the function from a description of a relationship or from two (x,
y) values, including reading these from a table or from a graph. Interpret the rate of change and
initial value of a linear function in terms of the situation it models, and in terms of its graph or
a table of values.
Construct a function to model a linear relationship between two quantities. Determine the rate
of change and initial value of the function from a description of a relationship or from two (x,
y) values, including reading these from a table or from a graph. Interpret the rate of change and
initial value of a linear function in terms of the situation it models, and in terms of its graph or
a table of values.
Construct a function to model a linear relationship between two quantities. Determine the rate
of change and initial value of the function from a description of a relationship or from two (x,
y) values, including reading these from a table or from a graph. Interpret the rate of change and
initial value of a linear function in terms of the situation it models, and in terms of its graph or
a table of values.
Construct a function to model a linear relationship between two quantities. Determine the rate
of change and initial value of the function from a description of a relationship or from two (x,
y) values, including reading these from a table or from a graph. Interpret the rate of change and
initial value of a linear function in terms of the situation it models, and in terms of its graph or
a table of values.
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare
two different proportional relationships represented in different ways.
Compare properties of two functions each represented in a different way (algebraically,
graphically, numerically in tables, or by verbal descriptions).
Standard Form
8.F.4
Graphing in a Variety of Contexts
8.EE.5
8.F.4
Writing Linear Functions
8.F.4
Writing Linear Equations Given Two Points
8.F.4
Applying Linear Functions
8.F.4
Comparing Slopes and Intercepts
8.EE.5
8.F.2
1150Q
1000Q
930Q
1140Q
1140Q
1140Q
1140Q
1140Q
1150Q
WV- CC Grade 8 Quantiles
Comparing Functions in the Real World
8.F.1
Understand that a function is a rule that assigns to each input exactly one output. The graph of 1190Q
a function is the set of ordered pairs consisting of an input and the corresponding output.
8.F.2
Compare properties of two functions each represented in a different way (algebraically,
graphically, numerically in tables, or by verbal descriptions).
Construct a function to model a linear relationship between two quantities. Determine the rate
of change and initial value of the function from a description of a relationship or from two (x,
y) values, including reading these from a table or from a graph. Interpret the rate of change and
initial value of a linear function in terms of the situation it models, and in terms of its graph or
a table of values.
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare
two different proportional relationships represented in different ways.
Understand that a function is a rule that assigns to each input exactly one output. The graph of
a function is the set of ordered pairs consisting of an input and the corresponding output.
1150Q
Compare properties of two functions each represented in a different way (algebraically,
graphically, numerically in tables, or by verbal descriptions).
Construct a function to model a linear relationship between two quantities. Determine the rate
of change and initial value of the function from a description of a relationship or from two (x,
y) values, including reading these from a table or from a graph. Interpret the rate of change and
initial value of a linear function in terms of the situation it models, and in terms of its graph or
a table of values.
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of
association between two quantities. Describe patterns such as clustering, outliers, positive or
negative association, linear association, and nonlinear association.
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of
association between two quantities. Describe patterns such as clustering, outliers, positive or
negative association, linear association, and nonlinear association.
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of
association between two quantities. Describe patterns such as clustering, outliers, positive or
negative association, linear association, and nonlinear association.
Know that straight lines are widely used to model relationships between two quantitative
variables. For scatter plots that suggest a linear association, informally fit a straight line, and
informally assess the model fit by judging the closeness of the data points to the line.
1140Q
8.F.4
Performance Task A Child's Growth and Prosperity
8.EE.5
8.F.1
8.F.2
8.F.4
1140Q
1140Q
1190Q
1140Q
Constructing Scatterplots
8.SP.1
Interpreting Clusters and Outliers
8.SP.1
Exploring Association
8.SP.1
Drawing Trend Lines
8.SP.2
Using Equations to Represent Trend Lines
8.SP.2
Know that straight lines are widely used to model relationships between two quantitative
variables. For scatter plots that suggest a linear association, informally fit a straight line, and
informally assess the model fit by judging the closeness of the data points to the line.
970Q
8.SP.3
Use the equation of a linear model to solve problems in the context of bivariate measurement
data, interpreting the slope and intercept.
970Q
800Q
1070Q
810Q
970Q
WV- CC Grade 8 Quantiles
Making Predictions
8.SP.3
Comparing Data Sets
8.F.2
8.SP.1
Making Two-Way Tables
8.SP.4
Interpreting Two-Way Tables
8.SP.4
Performance Task Business Success
8.EE.5
8.SP.1
8.SP.2
8.SP.3
Use the equation of a linear model to solve problems in the context of bivariate measurement
data, interpreting the slope and intercept.
Compare properties of two functions each represented in a different way (algebraically,
graphically, numerically in tables, or by verbal descriptions).
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of
association between two quantities. Describe patterns such as clustering, outliers, positive or
negative association, linear association, and nonlinear association.
Understand that patterns of association can also be seen in bivariate categorical data by
displaying frequencies and relative frequencies in a two-way table. Construct and interpret a
two-way table summarizing data on two categorical variables collected from the same subjects.
Use relative frequencies calculated for rows or columns to describe possible association
between the two variables.
Understand that patterns of association can also be seen in bivariate categorical data by
displaying frequencies and relative frequencies in a two-way table. Construct and interpret a
two-way table summarizing data on two categorical variables collected from the same subjects.
Use relative frequencies calculated for rows or columns to describe possible association
between the two variables.
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare
two different proportional relationships represented in different ways.
Construct and interpret scatter plots for bivariate measurement data to investigate patterns of
association between two quantities. Describe patterns such as clustering, outliers, positive or
negative association, linear association, and nonlinear association.
Know that straight lines are widely used to model relationships between two quantitative
variables. For scatter plots that suggest a linear association, informally fit a straight line, and
informally assess the model fit by judging the closeness of the data points to the line.
970Q
Use the equation of a linear model to solve problems in the context of bivariate measurement
data, interpreting the slope and intercept.
Solve linear equations with rational number coefficients, including equations whose solutions
require expanding expressions using the distributive property and collecting like terms.
970Q
1140Q
800Q
880Q
880Q
930Q
1070Q
970Q
Simplifying Algebraic Expressions
8.EE.7.b
Using the Distributive Property
8.EE.7.b
Solve linear equations with rational number coefficients, including equations whose solutions
require expanding expressions using the distributive property and collecting like terms.
950Q
Combining Like Terms to Solve Equations
8.EE.7.b
Solve linear equations with rational number coefficients, including equations whose solutions
require expanding expressions using the distributive property and collecting like terms.
950Q
Solving with the Distributive Property
8.EE.7.b
Solve linear equations with rational number coefficients, including equations whose solutions
require expanding expressions using the distributive property and collecting like terms.
950Q
Solving Equations with Rational Numbers
8.EE.7.b
Solve linear equations with rational number coefficients, including equations whose solutions
require expanding expressions using the distributive property and collecting like terms.
950Q
950Q
WV- CC Grade 8 Quantiles
Equivalent Equations
8.EE.7.a
Solving with Variables on Both Sides
8.EE.7.b
Give examples of linear equations in one variable with one solution, infinitely many solutions, 950Q
or no solutions. Show which of these possibilities is the case by successively transforming the
given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b
results (where a and b are different numbers).
Solve linear equations with rational number coefficients, including equations whose solutions 950Q
require expanding expressions using the distributive property and collecting like terms.
Solving Multistep Equations with Variables on Both Sides 8.EE.7.b
Solve linear equations with rational number coefficients, including equations whose solutions
require expanding expressions using the distributive property and collecting like terms.
950Q
Solving Real-World Multistep Equations
8.EE.7.b
Solve linear equations with rational number coefficients, including equations whose solutions
require expanding expressions using the distributive property and collecting like terms.
950Q
Analyzing Solutions
8.EE.7.a
970Q
Exploring Systems of Linear Equations
8.EE.8.a
Using Graphs to Determine the Number of Solutions
8.EE.8.a
Using Graphs to Solve Systems
8.EE.8.a
Estimating Solutions of Systems
8.EE.8.b
Writing and Solving Systems
8.EE.8.c
Give examples of linear equations in one variable with one solution, infinitely many solutions,
or no solutions. Show which of these possibilities is the case by successively transforming the
given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b
results (where a and b are different numbers).
Understand that solutions to a system of two linear equations in two variables correspond to
points of intersection of their graphs, because points of intersection satisfy both equations
simultaneously.
Understand that solutions to a system of two linear equations in two variables correspond to
points of intersection of their graphs, because points of intersection satisfy both equations
simultaneously.
Understand that solutions to a system of two linear equations in two variables correspond to
points of intersection of their graphs, because points of intersection satisfy both equations
simultaneously.
Solve systems of two linear equations in two variables algebraically, and estimate solutions by
graphing the equations. Solve simple cases by inspection.
Solve real-world and mathematical problems leading to two linear equations in two variables.
8.F.4
Exploring Systems in the Real World
8.EE.8.c
Using Technology to Solve Systems
8.EE.8.a
8.EE.8.b
Solving Systems by Guess and Check
8.EE.8.c
900Q
900Q
900Q
900Q
990Q
Construct a function to model a linear relationship between two quantities. Determine the rate 1080Q
of change and initial value of the function from a description of a relationship or from two (x,
y) values, including reading these from a table or from a graph. Interpret the rate of change and
initial value of a linear function in terms of the situation it models, and in terms of its graph or
a table of values.
Solve real-world and mathematical problems leading to two linear equations in two variables. 900Q
Understand that solutions to a system of two linear equations in two variables correspond to
900Q
points of intersection of their graphs, because points of intersection satisfy both equations
simultaneously.
Solve systems of two linear equations in two variables algebraically, and estimate solutions by 900Q
graphing the equations. Solve simple cases by inspection.
Solve real-world and mathematical problems leading to two linear equations in two variables. 990Q
WV- CC Grade 8 Quantiles
Finding the Number of Solutions
8.EE.8.b
990Q
8.EE.8.c
Solve systems of two linear equations in two variables algebraically, and estimate solutions by
graphing the equations. Solve simple cases by inspection.
Understand that solutions to a system of two linear equations in two variables correspond to
points of intersection of their graphs, because points of intersection satisfy both equations
simultaneously.
Solve systems of two linear equations in two variables algebraically, and estimate solutions by
graphing the equations. Solve simple cases by inspection.
Solve systems of two linear equations in two variables algebraically, and estimate solutions by
graphing the equations. Solve simple cases by inspection.
Solve systems of two linear equations in two variables algebraically, and estimate solutions by
graphing the equations. Solve simple cases by inspection.
Solve systems of two linear equations in two variables algebraically, and estimate solutions by
graphing the equations. Solve simple cases by inspection.
Solve systems of two linear equations in two variables algebraically, and estimate solutions by
graphing the equations. Solve simple cases by inspection.
Solve real-world and mathematical problems leading to two linear equations in two variables.
Using Substitution to Solve Systems
8.EE.8.a
Rewriting Equations to Use Substitution
8.EE.8.b
Using Addition to Solve Systems
8.EE.8.b
Multiplying One Equation to Solve Systems
8.EE.8.b
Multiplying Two Equations to Solve Systems
8.EE.8.b
Solving Systems with Fractions
8.EE.8.b
Problem Solving with Systems
8.EE.8.c
Solve real-world and mathematical problems leading to two linear equations in two variables.
990Q
Congruence
Overview of Transformations
8.G.1.a
8.G.1.b
8.G.1.a
8.G.1.b
8.G.3
1070Q
1070Q
1070Q
1030Q
1120Q
Translations
8.G.3
Reflections
8.G.3
Rotations
8.G.3
Rotations in the Coordinate Plane
8.G.3
Congruence and Transformations
8.G.1.a
8.G.1.b
8.G.1.c
8.G.2
Dilations
8.G.3
Dilations in the Coordinate Plane
8.G.3
Lines are taken to lines, and line segments to line segments of the same length.
Angles are taken to angles of the same measure.
Lines are taken to lines, and line segments to line segments of the same length.
Angles are taken to angles of the same measure.
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional
figures using coordinates.
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional
figures using coordinates.
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional
figures using coordinates.
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional
figures using coordinates.
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional
figures using coordinates.
Lines are taken to lines, and line segments to line segments of the same length.
Angles are taken to angles of the same measure.
Parallel lines are taken to parallel lines.
Understand that a two-dimensional figure is congruent to another if the second can be obtained
from the first by a sequence of rotations, reflections, and translations; given two congruent
figures, describe a sequence that exhibits the congruence between them.
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional
figures using coordinates.
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional
figures using coordinates.
900Q
990Q
990Q
990Q
990Q
990Q
990Q
1030Q
1030Q
1070Q
1120Q
1070Q
1070Q
1030Q
770Q
990Q
1120Q
WV- CC Grade 8 Quantiles
Similarity and Transformations
8.G.4
Understand that a two-dimensional figure is similar to another if the second can be obtained
1090Q
from the first by a sequence of rotations, reflections, translations, and dilations; given two
similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
Angle Relationships
8.G.5
Transversals
8.G.5
Parallel Lines Cut by a Transversal
8.G.5
Sum of Interior Angles of a Triangle
8.G.5
Exterior Angles of a Triangle
8.G.5
Solving for Unknown Angles in Triangles
8.EE.7.b
Use informal arguments to establish facts about the angle sum and exterior angle of triangles,
about the angles created when parallel lines are cut by a transversal, and the angle-angle
criterion for similarity of triangles.
Use informal arguments to establish facts about the angle sum and exterior angle of triangles,
about the angles created when parallel lines are cut by a transversal, and the angle-angle
criterion for similarity of triangles.
Use informal arguments to establish facts about the angle sum and exterior angle of triangles,
about the angles created when parallel lines are cut by a transversal, and the angle-angle
criterion for similarity of triangles.
Use informal arguments to establish facts about the angle sum and exterior angle of triangles,
about the angles created when parallel lines are cut by a transversal, and the angle-angle
criterion for similarity of triangles.
Use informal arguments to establish facts about the angle sum and exterior angle of triangles,
about the angles created when parallel lines are cut by a transversal, and the angle-angle
criterion for similarity of triangles.
Solve linear equations with rational number coefficients, including equations whose solutions
require expanding expressions using the distributive property and collecting like terms.
8.G.5
Similar Triangles
8.G.5
Similar Triangles and Slope
8.EE.6
8.G.5
Performance Task Sign Production
8.EE.6
8.G.5
Powers and Exponents
8.EE.1
1250Q
1250Q
1250Q
1070Q
1070Q
950Q
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, 1070Q
about the angles created when parallel lines are cut by a transversal, and the angle-angle
criterion for similarity of triangles.
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, 950Q
about the angles created when parallel lines are cut by a transversal, and the angle-angle
criterion for similarity of triangles.
Use similar triangles to explain why the slope m is the same between any two distinct points on 920Q
a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the
origin and the equation y = mx + b for a line intercepting the vertical axis at b.
Use informal arguments to establish facts about the angle sum and exterior angle of triangles, 950Q
about the angles created when parallel lines are cut by a transversal, and the angle-angle
criterion for similarity of triangles.
Use similar triangles to explain why the slope m is the same between any two distinct points on 1140Q
a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the
origin and the equation y = mx + b for a line intercepting the vertical axis at b.
Use informal arguments to establish facts about the angle sum and exterior angle of triangles,
about the angles created when parallel lines are cut by a transversal, and the angle-angle
criterion for similarity of triangles.
Know and apply the properties of integer exponents to generate equivalent numerical
expressions.
950Q
1000Q
WV- CC Grade 8 Quantiles
Zero and Negative Exponents
8.EE.1
Powers with the Same Base
8.EE.1
Raising a Power to a Power
8.EE.1
Evaluating Expressions with Exponents
8.EE.1
Introduction to Scientific Notation
8.EE.3
Operations with Scientific Notation
8.EE.4
Exploring Pythagorean Theorem
8.EE.2
Estimating and Comparing Square Roots
8.G.6
8.NS.2
Explain a proof of the Pythagorean Theorem and its converse.
1010Q
Use square root and cube root symbols to represent solutions to equations of the form x² = p
720Q
and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares
and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
Finding the Hypotenuse in Right Triangles
8.EE.2
Use square root and cube root symbols to represent solutions to equations of the form x² = p
700Q
and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares
and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
8.G.7
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real- 1050Q
world and mathematical problems in two and three dimensions.
Use square root and cube root symbols to represent solutions to equations of the form x² = p
700Q
and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares
and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
Unknown Leg Lengths in Right Triangles
8.EE.2
8.G.7
Converse to the Pythagorean Theorem
Know and apply the properties of integer exponents to generate equivalent numerical
expressions.
Know and apply the properties of integer exponents to generate equivalent numerical
expressions.
Know and apply the properties of integer exponents to generate equivalent numerical
expressions.
Know and apply the properties of integer exponents to generate equivalent numerical
expressions.
Use numbers expressed in the form of a single digit times an integer power of 10 to estimate
very large or very small quantities, and to express how many times as much one is than the
other.
Perform operations with numbers expressed in scientific notation, including problems where
both decimal and scientific notation are used. Use scientific notation and choose units of
appropriate size for measurements of very large or very small quantities (e.g., use millimeters
per year for seafloor spreading). Interpret scientific notation that has been generated by
technology.
Use square root and cube root symbols to represent solutions to equations of the form x² = p
and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares
and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
1000Q
1000Q
1000Q
1000Q
910Q
1000Q
700Q
8.EE.2
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real- 1050Q
world and mathematical problems in two and three dimensions.
Use square root and cube root symbols to represent solutions to equations of the form x² = p
700Q
and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares
and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
8.G.6
Explain a proof of the Pythagorean Theorem and its converse.
1010Q
WV- CC Grade 8 Quantiles
Finding Distance in the Coordinate Plane
8.G.8
8.NS.1
`
8.EE.2
Use square root and cube root symbols to represent solutions to equations of the form x² = p
700Q
and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares
and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
8.G.7
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real- 1050Q
world and mathematical problems in two and three dimensions.
Know that numbers that are not rational are called irrational. Understand informally that every 850Q
number has a decimal expansion; for rational numbers show that the decimal expansion repeats
eventually, and convert a decimal expansion which repeats eventually into a rational number.
Exploring Real Numbers
8.NS.1
Performance Task Architectural Works and Wonders
8.G.6
8.G.7
8.G.8
8.NS.1
Introduction to the Volume of a Cylinder
Apply the Pythagorean Theorem to find the distance between two points in a coordinate
1050Q
system.
Know that numbers that are not rational are called irrational. Understand informally that every 830Q
number has a decimal expansion; for rational numbers show that the decimal expansion repeats
eventually, and convert a decimal expansion which repeats eventually into a rational number.
Explain a proof of the Pythagorean Theorem and its converse.
Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in realworld and mathematical problems in two and three dimensions.
Apply the Pythagorean Theorem to find the distance between two points in a coordinate
system.
Know that numbers that are not rational are called irrational. Understand informally that every
number has a decimal expansion; for rational numbers show that the decimal expansion repeats
eventually, and convert a decimal expansion which repeats eventually into a rational number.
1010Q
1050Q
1050Q
850Q
8.EE.2
Use square root and cube root symbols to represent solutions to equations of the form x² = p
820Q
and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares
and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
8.G.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real- 1070Q
world and mathematical problems.
Know that numbers that are not rational are called irrational. Understand informally that every 850Q
number has a decimal expansion; for rational numbers show that the decimal expansion repeats
eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.1
WV- CC Grade 8 Quantiles
Applications with the Volume of a Cylinder
8.EE.2
Use square root and cube root symbols to represent solutions to equations of the form x² = p
820Q
and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares
and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
8.G.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real- 1070Q
world and mathematical problems.
Know that numbers that are not rational are called irrational. Understand informally that every 850Q
number has a decimal expansion; for rational numbers show that the decimal expansion repeats
eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.1
Introduction to the Volume of a Cone
8.EE.2
Use square root and cube root symbols to represent solutions to equations of the form x² = p
820Q
and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares
and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
8.G.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real- 1070Q
world and mathematical problems.
Know that numbers that are not rational are called irrational. Understand informally that every 850Q
number has a decimal expansion; for rational numbers show that the decimal expansion repeats
eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.1
Applications with the Volume of a Cone
8.EE.2
Use square root and cube root symbols to represent solutions to equations of the form x² = p
820Q
and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares
and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
8.G.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real- 1070Q
world and mathematical problems.
Know that numbers that are not rational are called irrational. Understand informally that every 850Q
number has a decimal expansion; for rational numbers show that the decimal expansion repeats
eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.1
Introduction to the Volume of a Sphere
8.EE.2
Use square root and cube root symbols to represent solutions to equations of the form x² = p
820Q
and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares
and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
8.G.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real- 1100Q
world and mathematical problems.
Know that numbers that are not rational are called irrational. Understand informally that every 850Q
number has a decimal expansion; for rational numbers show that the decimal expansion repeats
eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.1
WV- CC Grade 8 Quantiles
Spherical and Cubic Volume Applications
8.EE.2
Use square root and cube root symbols to represent solutions to equations of the form x² = p
820Q
and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares
and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
8.G.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real- 1100Q
world and mathematical problems.
Know that numbers that are not rational are called irrational. Understand informally that every 850Q
number has a decimal expansion; for rational numbers show that the decimal expansion repeats
eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.1
Volume with Composite Figures
8.EE.2
Use square root and cube root symbols to represent solutions to equations of the form x² = p
820Q
and x³ = p, where p is a positive rational number. Evaluate square roots of small perfect squares
and cube roots of small perfect cubes. Know that the square root of 2 is irrational.
8.G.9
Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real- 1070Q
world and mathematical problems.
Know that numbers that are not rational are called irrational. Understand informally that every 850Q
number has a decimal expansion; for rational numbers show that the decimal expansion repeats
eventually, and convert a decimal expansion which repeats eventually into a rational number.
8.NS.1