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Arizona Math Standards - 8th Grade
MathScore aligns to the Arizona Math Standards for 8th Grade. The standards appear below along with the MathScore topics that match. If you click on a topic name, you will see sample problems at varying degrees of difficulty that MathScore generated. When students use our program, the difficulty of the problems will automatically adapt based on individual performance, resulting in not only true differentiated instruction, but a challenging game-like experience.
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View the Arizona Math Standards at other levels.
Number Sense and Operations
C1 Number Sense1. Locate rational numbers on a number line. (Positive Number Line , Number Line , Fractions to Decimals , Decimals To Fractions , Compare Mixed Values )
2. Identify irrational numbers.
3. Classify real numbers as rational or irrational.
C2 Numerical Operations
1. Select the grade-level appropriate operation to solve word problems.
2. Solve word problems using grade-level appropriate operations and numbers. (Mixture Word Problems , Work Word Problems , Integer Word Problems )
3. Determine the square of an integer. (Perfect Squares )
4. Determine the square root of an integer. (Estimating Square Roots , Perfect Squares )
5. Identify squaring and finding square roots as inverse operations. (Estimating Square Roots )
6. Apply grade-level appropriate properties to assist in computation.
7. Apply the symbols √ to represent square root, ± to represent roots, and { } as grouping symbols.
8. Use grade-level appropriate mathematical terminology.
9. Calculate the missing value in a percentage problem. (Percentage Change , Percent of Quantity , Mixture Word Problems )
10. Convert standard notation to scientific notation, and vice versa. (Scientific Notation )
11. Simplify numerical expressions using the order of operations with grade- appropriate operations on number sets. (Using Parentheses , Order Of Operations )
C3 Estimation
1. Solve grade-level appropriate problems using estimation.
2. Use estimation to verify the reasonableness of a calculation (e.g., Is 32 the square root of 64?).
3. Express answers to the appropriate place or degree of precision (e.g., time, money).
4. Verify the reasonableness of estimates made from calculator results within a contextual situation.
Data Analysis, Probability, and Discrete Mathematics
C1 Data Analysis (Statistics)1. Formulate questions to collect data in contextual situations.
2. Construct box-and-whisker plots.
3. Determine the appropriate type of graphical display for a given data set.
4. Interpret box-and-whisker plots, circle graphs, and scatter plots.
5. Answer questions based on box-and-whisker plots, circle graphs, and scatter plots.
6. Solve problems in contextual situations using the mean, median, mode, and range of a given data set. (Mean, Median, Mode , Stem And Leaf Plots )
7. Formulate reasonable predictions based on a given set of data.
8. Compare trends in data related to the same investigation.
9. Solve contextual problems using scatter plots, box-and-whiskers plots, and double line graphs of continuous data.
10. Evaluate the effects of missing or incorrect data on the results of an investigation (e.g., Susie's teacher recorded a 39 instead of a 93 for her last quiz, what will happen to Susie's average?). (Batting Averages )
11. Identify a line of best fit for a scatter plot.
12. Distinguish between causation and correlation.
C2 Probability
1. Determine the probability that a specific event will occur in a 2-stage probability experiment. (Object Picking Probability )
2. Solve contextual situations using probability (e.g., If the probability of Michelle making a free throw is 0.25, what is the probability that she will make three free throws in a row?). (Batting Averages )
3. Predict the outcome of a grade-level appropriate probability experiment.
4. Record the data from performing a grade-level appropriate probability experiment.
5. Compare the outcome of an experiment to predictions made prior to performing the experiment.
6. Distinguish between independent and dependent events. (Probability 2 , Object Picking Probability )
7. Compare the results of two repetitions of the same grade-level appropriate probability experiment.
C3 Discrete Mathematics - Systematic Listing and Counting
1. Determine all possible outcomes involving the combination of two or more sets of objects (e.g., If you roll a six-sided number cube 4 times, how many possible outcomes are possible?).
2. Determine all possible arrangements given a set (e.g., How many ways can you arrange a set of 7 books on a shelf?).
C4 Vertex-Edge Graphs
1. Solve contextual problems represented by vertex-edge graphs.
Patterns, Algebra, and Functions
C1 Patterns1. Communicate a grade-level appropriate iterative or recursive pattern, using symbols or numbers.
2. Extend a grade-level appropriate iterative or recursive pattern.
3. Solve grade-level appropriate iterative or recursive pattern problems.
C2 Functions and Relationships
1. Describe the rule used in a simple grade-level appropriate function (e.g., T-chart, input/output model). (Function Tables , Function Tables 2 )
2. Distinguish between linear and nonlinear functions, given graphic examples.
3. Determine whether a graph or table is related to a given equation of the form y=ax2 where 'a' is a natural number. (Nonlinear Functions )
4. Identify independent and dependent variables for a contextual situation. (Independent and Dependent Variables )
C3 Algebraic Representations
1. Evaluate algebraic expressions by substituting rational values for variables [e.g., 2(ab+ac+bc), when a=2, b=3/5, and c=4] (Simple Interest , Compound Interest , Continuous Compound Interest , Variable Substitution 2 )
2. Use variables in contextual situations. (Algebraic Word Problems , Algebraic Sentences 2 , Algebraic Sentences )
3. Translate a written sentence or phrase into an algebraic equation or expression, and vice versa (e.g., Three less than twice a number is 2n-3.). (Phrases to Algebraic Expressions )
4. Translate a sentence written in context into an algebraic equation involving two operations. (Algebraic Word Problems )
5. Translate a contextual situation into an algebraic inequality (e.g., Joe earns more than $5.00 an hour; therefore, x > 5). (Algebraic Sentences 2 )
6. Identify an equation or inequality that represents a contextual situation. (Algebraic Sentences 2 )
7. Solve one-step equations with rational numbers as coefficients or as solutions. (Single Variable Equations )
8. Solve one-step equations that model contextual situations.
9. Solve two-step equations with rational coefficients and integer solutions (e.g., 3x + 5 = 11, 4x - 20 = 8). (Linear Equations , Single Variable Equations 2 )
10. Graph an inequality on a number line. (Number Line Inequalities )
11. Solve a simple algebraic proportion. (Proportions 1 )
12. Solve applied problems using the Pythagorean theorem. (Pythagorean Theorem )
C4 Analysis of Change
1. Identify the slope of a line as the rate of change (the ratio of rise over run). (Determining Slope )
Geometry and Measurement
C1 Geometric Properties1. Draw a model that demonstrates basic geometric relationships such as parallelism, perpendicularity, similarity/proportionality, and congruence. (Parallel and Perpendicular Lines )
2. Draw 3-dimensional figures by applying properties of each (e.g., parallelism, perpendicularity, congruency).
3. Recognize the 3-dimensional figure represented by a net.
4. Represent the surface area of rectangular prisms and cylinders as the area of their net.
5. Draw regular polygons with appropriate labels.
6. Identify the properties of angles created by a transversal intersecting two parallel lines (e.g., corresponding angles are congruent). (Identifying Angles , Angle Measurements 2 )
7. Recognize the relationship between inscribed angles and intercepted arcs.
8. Identify tangents and secants of a circle.
9. Determine whether three given lengths can form a triangle.
10. Identify corresponding angles of similar polygons as congruent and sides as proportional. (Proportions 2 )
C2 Transformation of Shapes
1. Identify the planar geometric figure that is the result of a given rigid transformation.
2. Model a simple transformation on a coordinate grid (e.g., Translate right four units and down two units.). (Translations and Reflections )
C3 Coordinate Geometry
1. Use a table of values to graph a linear equation.
2. Determine the midpoint given two points on a number line.
3. Determine the distance between two points on a number line. (Line Segments )
C4 Measurement - Units of Measure - Geometric Objects
1. Solve problems for the area of a trapezoid. (Trapezoids )
2. Solve problems involving the volume of rectangular prisms and cylinders. (Rectangular Solids , Rectangular Solids 2 , Cylinders )
3. Calculate the surface area of rectangular prisms or cylinders. (Rectangular Solids , Cylinders )
4. Identify rectangular prisms and cylinders having the same volume.
5. Find the measure of a missing interior angle in a triangle or quadrilateral. (Triangle Angles , Quadrilateral Angles )
6. Solve problems using ratios and proportions, given the scale factor. (Solving For Angles , Proportions 2 )
7. Calculate the length of a side, given two similar triangles. (Proportions 2 )
Structure and Logic
C1 Algorithms and Algorithmic Thinking1. Describe how to use a proportion to solve a problem in context.
2. Analyze algorithms.
C2 Logic, Reasoning, Arguments, and Mathematical Proof
1. Solve a logic problem given the necessary information.
2. Identify simple valid arguments using if...then statements (e.g., All squares are rectangles. If quadrilateral ABCD is a rectangle, is it a square?).
3. Model a contextual situation using a flow chart.
4. Verify the Pythagorean theorem using an area dissection argument.
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