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Alabama Standards

Alabama 8th Grade Math Standards

All 30 Alabama math standards for 8th grade, each explained in plain English. The official wording is in Alabama State Department of Education's document, linked at the end of this page.

30 standards

Number Systems and Operations

2 standards
8.1
Explain that real numbers include rational and irrational numbers, that rational decimals end or repeat, and convert repeating decimals to fractions, like 0.3 repeating equals 1/3.
8.2
Estimate irrational numbers with nearby rational values, place them on a number line and compare them, like the square root of 2 is about 1.4.

Algebra and Functions

15 standards
8.3
Discover and use the rules of integer exponents to rewrite numerical and algebraic expressions, like 3 squared times 3 to the -5 equals 1 over 27.
8.4
Use root symbols for equation solutions, evaluate square roots of perfect squares to 225 and cube roots of perfect cubes to 1000, and explain why other square roots are irrational.
8.5
Estimate and compare huge and tiny numbers written in scientific notation, like seeing 3 × 10 to the 8th is 100 times 3 × 10 to the 6th.
8.6
Compute with numbers in scientific notation, including mixes with standard decimals, pick sensible units for huge or tiny amounts, and read technology output like 2.5E-4.
8.7
Tell if two variables are in a proportional relationship or not, like a price per pound versus a taxi fare with a starting fee.
8.8
Graph proportional relationships and read the unit rate as the slope of a line through the origin with equation y = mx.
8.9
Read y = mx + b as a line with slope m and y-intercept b, show with similar triangles why slope stays the same, find it from two points, and graph lines.
8.10
Compare proportional and non-proportional linear relationships shown as equations, graphs, tables or words to solve real problems, like two phone plans.
8.11
Solve multi-step one-variable equations with rational coefficients by distributing and combining like terms, and tell if there is one solution, none or infinitely many.
8.12
Solve systems of two linear equations by graphing and substitution, explaining the solution as where the lines cross and whether there is one, none or infinitely many.
8.13
Decide whether a relation is a function, where each input has exactly one output, using graphs, tables, mappings or sets of ordered pairs.
8.14
Find a function's output for given input values from its rule or equation, like the rule y = 2x + 1 gives 7 when x is 3.
8.15
Compare properties of two functions shown in different ways, like an equation and a table, and tell linear functions from non-linear ones.
8.16
Write a linear function to model a relationship and explain its rate of change and starting value from a description, two points, a table or a graph.
8.17
Describe how two quantities on a graph relate, saying where the graph rises or falls and whether it is linear or curved.

Data Analysis, Statistics, and Probability

4 standards
8.18
Make and read scatter plots of paired measurements, describing positive, negative or no association, linear or non-linear patterns, clusters and outliers.
8.19
Draw a line of best fit by eye on a scatter plot with a linear trend and judge how well it fits by how close the points fall to it.
8.20
Solve problems and make predictions with a linear model of a real situation, explaining its slope and y-intercept, like a plant that starts at 5 cm and grows 2 cm a week.
8.21
Build and read a two-way table of two categories from the same group, using row or column relative frequencies to look for a link, like curfew and chores.

Geometry and Measurement

9 standards
8.22
Show by experiment that rotations, reflections and translations preserve lines, lengths, angles and parallel lines, and describe moves that map one figure onto a congruent one.
8.23
Use coordinates to describe how dilations, translations, rotations and reflections move a flat figure, like a shift right 3 adding 3 to each x-coordinate.
8.24
Decide whether dilations and rigid motions can map one figure onto another to show they are similar, and describe the sequence of moves, like a turn then an enlargement.
8.25
Use angle pairs formed when a transversal crosses parallel lines to find missing angles, and give informal arguments that a triangle's angles add to 180 degrees.
8.26
Give an informal argument for why the Pythagorean Theorem and its converse are true, like rearranging squares built on a right triangle's sides.
8.27
Find the distance between two points on a coordinate grid with the Pythagorean Theorem, using their horizontal and vertical gaps as the legs.
8.28
Find missing side lengths of right triangles with the Pythagorean Theorem, including real problems like how long a ladder must be to reach a window.
8.29
Compare the volumes of cones, spheres and cylinders with the same radius and height through experiments to informally derive the cone and sphere volume formulas.
8.30
Use volume formulas for cylinders, cones and spheres to solve real-world problems, like how much a cylindrical water tank holds.

The official Alabama documents

The plain-English lines on this page are EMStudio's own explanations of Alabama's standards, not the official wording, which Alabama State Department of Education publishes in the documents above. Codes and strand names identify each standard.