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Goals and domain icons were developed by Angie Seltzer. Highlighted parts are from Grade 8 CCSS, Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.
Grade 8
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CCSS ID MathPaths Grade 8 Goals
CCSS
EXPRESSIONS, EQUATIONS, & FUNCTIONS
A
1
Work with radicals and integer exponents.
8.EE.1
1-1*
Simplify and evaluate numerical expressions with integer exponents.
8.EE.1
1-2
Develop and apply properties of exponents.
8.EE.2
1-3
Use square root and cube root symbols.
8.EE.2
1-4*
Evaluate square roots and cube roots.
8.EE.3
1-5*
Convert between standard notation and scientific notation. Students have been working with powers of 10 since Grade 5.
8.EE.3
1-6
Use scientific notation to compare relative sizes of numbers. For example, students should be able to write the ratio of 8,000,000 to 40,000 in scientific notation, then simplify to find that the first number is 200 times the second number.
8.EE.4
1-7
Perform operations on numbers in scientific notation.
8.EE.4
1-8
Use scientific notation to solve problems.
8.EE.4
1-9
Convert measurement results to appropriate units. For example, a distance of 0.0031 kilometers is easier to understand as 3.1 meters.
B
2
Understand the connections between proportional relationships, lines, and linear equations.
8.EE.5
2-1
Graph proportional relationships.
8.EE.5
2-2
Compare two representations of a proportional relationship.
8.EE.6
2-3
Use similar triangles to verify that a line has constant slope.
8.EE.6
2-4
Relate linear equations to slopes and intercepts.
C
3
Analyze and solve linear equations and pairs of simultaneous linear equations.
8.EE.7a
3-1*
Simplify and solve linear equations by writing equivalent forms.
8.EE.7a
3-2
Identify or write equations with 0, 1, or infinitely many solutions.
8.EE.7b
3-3
Simplify and solve linear equations with rational coefficients.
8.EE.8a
3-4
Identify the solution to a system of two linear equations as the intersection point.
8.EE.8b
3-5
Solve systems of two linear equations algebraically.
8.EE.8b
3-6
Estimate the solution to two linear equations by graphing.
8.EE.8c
3-7
Solve problems involving systems of two linear equations.
CCSS
A
4
Define, evaluate, and compare functions.
8.F.1
4-1
Understand that a function is a rule.
8.F.2
4-2*
Compare two representations of a function.
8.F.3
4-3
Decide if a function is linear or non-linear.
B
5
Use functions to model relationships between quantities.
8.F.4
5-1
Identify rate of change from a graph, table, or description.
8.F.4
5-2
Identify initial value of a function from a graph, table, or description.
8.F.4
5-3
Write a function from the rate of change and initial value.
8.F.5
5-4
Describe features of a non-linear function from its graph.
8.F.5
5-5
Sketch a graph from a verbal description of its features.
CCSS
GEOMETRY
A
1
Understand congruence and similarity using physical models, transparencies, or geometry software.
8.G.1
1-1
Identify congruent parts in rotations, reflections, and translations. Transformations are new for Grade 8 and should be a major emphasis.
8.G.2
1-2
Identify transformations that move a figure onto a congruent figure.
8.G.3
1-3
Use coordinates to describe translations, reflections, and rotations.
8.G.4
1-4
Use coordinates to describe dilations.
8.G.4
1-5
Compare ratios of side lengths to decide if two figures are similar.
8.G.4
1-6
Identify the scale factor that enlarges or reduces a figure to match a similar figure.
8.G.4
1-7
Identify transformations that move a figure onto a similar figure.
8.G.5
1-8*
Justify and calculate angle measures in triangles and line figures.
8.G.5
1-9
Justify the angle-angle criterion of similar triangles.
B
2
Understand and apply the Pythagorean Theorem.
8.G.6
2-1
Explain a proof of the Pythagorean Theorem and its converse.
8.G.7
2-2*
Use the Pythagorean Theorem to find lengths.
8.G.8
2-3*
Use the Pythagorean Theorem to find distance between points.
C
3
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
8.G.9
3-1
Apply the formula for volume of a cone.Volume of a rectangular prism was introduced in Grade 5 and extended in Grades 6 and 7.
8.G.9
3-2
Apply the formula for volume of a cylinder.
8.G.9
3-3
Apply the formula for volume of a sphere.
8.G.9
3-4
Apply formulas to find volumes of combined solids.
CCSS
THE NUMBER SYSTEM
A
1
Know that there are numbers that are not rational, and approximate them by rational numbers.
8.NS.1
1-1
Identify rational and irrational numbers.
8.NS.1
1-2*
Convert repeating decimals to rational numbers.
8.NS.2
1-3
Find approximations for irrational numbers.
CCSS
STATISTICS & PROBABILITY
A
1
Investigate patterns of association in bivariate data.
8.SP.1
1-1
Construct scatter plots.
8.SP.1
1-2
Interpret scatter plots.
8.SP.2
1-3
For data that appear to be linear, estimate a line of best fit.
8.SP.2
1-4
Informally assess the fit of a linear model.
8.SP.3
1-5
Interpret a linear model for real-world data.
8.SP.4
1-6
Compare frequencies and relative frequencies from two-way tables.
For example, the two-way table below shows the number of girls and boys that preferred red and blue.
Girls
Boys
Red
4
10
Blue
6
5
Students should be able to answer questions such as "What fraction of the students preferred red?" or "What fraction of the students who preferred blue were boys?"
*See Using Math Games for goals marked with asterisks.