

Mathematics (2019) 
Grade(s): 8 

All Resources: 
2 
Classroom Resources: 
2 

1. Define the real number system as composed of rational and irrational numbers.
a. Explain that every number has a decimal expansion; for rational numbers, the decimal expansion repeats or terminates.
b. Convert a decimal expansion that repeats into a rational number. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 8 

All Resources: 
2 
Classroom Resources: 
2 

2. Locate rational approximations of irrational numbers on a number line, compare their sizes, and estimate the values of the irrational numbers. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 8 

All Resources: 
7 
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3 
Classroom Resources: 
4 

3. Develop and apply properties of integer exponents to generate equivalent numerical and algebraic expressions. Unpacked Content

Mathematics (2019) 
Grade(s): 8 

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4. Use square root and cube root symbols to represent solutions to equations.
a. Evaluate square roots of perfect squares (less than or equal to 225) and cube roots of perfect cubes (less than or equal to 1000).
b. Explain that the square root of a nonperfect square is irrational. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 8 

All Resources: 
1 
Classroom Resources: 
1 

5. Estimate and compare very large or very small numbers in scientific notation. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 8 

All Resources: 
1 
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6. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used.
a. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities.
b. Interpret scientific notation that has been generated by technology. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 8 

All Resources: 
1 
Classroom Resources: 
1 

7. Determine whether a relationship between two variables is proportional or nonproportional. Unpacked Content

Mathematics (2019) 
Grade(s): 8 

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8. Graph proportional relationships.
a. Interpret the unit rate of a proportional relationship, describing the constant of proportionality as the slope of the graph which goes through the origin and has the equation y = mx where m is the slope. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 8 

All Resources: 
3 
Learning Activities: 
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2 

9. Interpret y = mx + b as defining a linear equation whose graph is a line with m as the slope and b as the yintercept.
a. Use similar triangles to explain why the slope m is the same between any two distinct points on a nonvertical line in a coordinate plane.
b. Given two distinct points in a coordinate plane, find the slope of the line containing the two points and explain why it will be the same for any two distinct points on the line.
c. Graph linear relationships, interpreting the slope as the rate of change of the graph and the yintercept as the initial value.
d. Given that the slopes for two different sets of points are equal, demonstrate that the linear equations that include those two sets of points may have different yintercepts. Unpacked Content

Mathematics (2019) 
Grade(s): 8 

All Resources: 
1 
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10. Compare proportional and nonproportional linear relationships represented in different ways (algebraically, graphically, numerically in tables, or by verbal descriptions) to solve realworld problems. Unpacked Content


Mathematics (2019) 
Grade(s): 8 

All Resources: 
6 
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1 
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5 

11. Solve multistep linear equations in one variable, including rational number coefficients, and equations that require using the distributive property and combining like terms.
a. Determine whether linear equations in one variable have one solution, no solution, or infinitely many solutions of the form x = a, a = a, or a = b (where a and b are different numbers).
b. Represent and solve realworld and mathematical problems with equations and interpret each solution in the context of the problem. Unpacked Content

Mathematics (2019) 
Grade(s): 8 

All Resources: 
9 
Learning Activities: 
2 
Lesson Plans: 
3 
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4 

12. Solve systems of two linear equations in two variables by graphing and substitution.
a. Explain that the solution(s) of systems of two linear equations in two variables corresponds to points of intersection on their graphs because points of intersection satisfy both equations simultaneously.
b. Interpret and justify the results of systems of two linear equations in two variables (one solution, no solution, or infinitely many solutions) when applied to realworld and mathematical problems. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 8 

All Resources: 
2 
Learning Activities: 
1 
Classroom Resources: 
1 

13. Determine whether a relation is a function, defining a function as a rule that assigns to each input (independent value) exactly one output (dependent value), and given a graph, table, mapping, or set of ordered pairs. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 8 

All Resources: 
0 

14. Evaluate functions defined by a rule or an equation, given values for the independent variable. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 8 

All Resources: 
1 
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15. Compare properties of functions represented algebraically, graphically, numerically in tables, or by verbal descriptions.
a. Distinguish between linear and nonlinear functions. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 8 

All Resources: 
2 
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16. Construct a function to model a linear relationship between two variables.
a. Interpret the rate of change (slope) and initial value of the linear function from a description of a relationship or from two points in a table or graph. Unpacked Content

Mathematics (2019) 
Grade(s): 8 

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17. Analyze the relationship (increasing or decreasing, linear or nonlinear) between two quantities represented in a graph. Unpacked Content
Alabama Alternate Achievement Standards



Mathematics (2019) 
Grade(s): 8 

All Resources: 
0 

18. Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities, describing patterns in terms of positive, negative, or no association, linear and nonlinear association, clustering, and outliers. Unpacked Content

Mathematics (2019) 
Grade(s): 8 

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0 

19. Given a scatter plot that suggests a linear association, informally draw a line to fit the data, and assess the model fit by judging the closeness of the data points to the line. Unpacked Content

Mathematics (2019) 
Grade(s): 8 

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20. Use a linear model of a realworld situation to solve problems and make predictions.
a. Describe the rate of change and yintercept in the context of a problem using a linear model of a realworld situation. Unpacked Content

Mathematics (2019) 
Grade(s): 8 

All Resources: 
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21. Construct and interpret a twoway table summarizing data on two categorical variables collected from the same subjects, using relative frequencies calculated for rows or columns to describe possible associations between the two variables. Unpacked Content



Mathematics (2019) 
Grade(s): 8 

All Resources: 
2 
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22. Verify experimentally the properties of rigid motions (rotations, reflections, and translations): lines are taken to lines, and line segments are taken to line segments of the same length; angles are taken to angles of the same measure; and parallel lines are taken to parallel lines.
a. Given a pair of twodimensional figures, determine if a series of rigid motions maps one figure onto the other, recognizing that if such a sequence exists the figures are congruent; describe the transformation sequence that verifies a congruence relationship. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 8 

All Resources: 
1 
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23. Use coordinates to describe the effect of transformations (dilations, translations, rotations, and reflections) on twodimensional figures. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 8 

All Resources: 
5 
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24. Given a pair of twodimensional figures, determine if a series of dilations and rigid motions maps one figure onto the other, recognizing that if such a sequence exists the figures are similar; describe the transformation sequence that exhibits the similarity between them. Unpacked Content


Mathematics (2019) 
Grade(s): 8 

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4 
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25. Analyze and apply properties of parallel lines cut by a transversal to determine missing angle measures.
a. Use informal arguments to establish that the sum of the interior angles of a triangle is 180 degrees. Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 8 

All Resources: 
5 
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26. Informally justify the Pythagorean Theorem and its converse. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 8 

All Resources: 
3 
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1 
Lesson Plans: 
1 
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27. Apply the Pythagorean Theorem to find the distance between two points in a coordinate plane. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 8 

All Resources: 
7 
Learning Activities: 
1 
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6 

28. Apply the Pythagorean Theorem to determine unknown side lengths of right triangles, including realworld applications Unpacked Content
Alabama Alternate Achievement Standards


Mathematics (2019) 
Grade(s): 8 

All Resources: 
0 

29. Informally derive the formulas for the volume of cones and spheres by experimentally comparing the volumes of cones and spheres with the same radius and height to a cylinder with the same dimensions. Unpacked Content
Alabama Alternate Achievement Standards

Mathematics (2019) 
Grade(s): 8 

All Resources: 
10 
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30. Use formulas to calculate the volumes of threedimensional figures (cylinders, cones, and spheres) to solve realworld problems. Unpacked Content
Alabama Alternate Achievement Standards
