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Arizona Math Standards - 7th Grade
MathScore aligns to the Arizona Math Standards for 7th 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. Express fractions as terminating or repeating decimals. (Repeating Decimals )
2. Identify the greatest common factor for a set of whole numbers. (Greatest Common Factor )
3. Determine the least common multiple for a set of whole numbers. (Least Common Multiple )
4. Choose the appropriate signed real number to represent a contextual situation. (Integers In Word Problems )
5. Recognize the absolute value of a number used in contextual situations. (Absolute Value 1 , Absolute Value 2 )
6. Locate integers on a number line. (Compare Integers )
7. Order integers.
8. Classify rational numbers as natural, whole, or integers.
C2 Numerical Operations
1. Add integers. (Integer Addition )
2. Subtract integers. (Integer Subtraction , Positive Integer Subtraction , Integer Equivalence )
3. Select the grade-level appropriate operation to solve word problems.
4. Solve word problems using grade-level appropriate operations and numbers. (Purchases At Stores , Restaurant Bills , Commissions , Integers In Word Problems )
5. Multiply integers. (Integer Multiplication )
6. Divide integers. (Integer Division )
7. Apply grade-level appropriate properties to assist in computation.
8. Apply the symbols + and - to represent positive and negative, and | | to represent absolute value.
9. Use grade-level appropriate mathematical terminology.
10. Calculate the percent of a given number. (Percent of Quantity )
11. Convert numbers expressed in standard notation to scientific notation and vice versa (positive exponents only). (Scientific Notation )
12. 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 -2.5 x 18 about -50?).
3. Determine whether an estimation of an area is approximately equal to the actual measure.
4. Determine whether an estimation of an angle is approximately equal to the actual measure.
5. Determine whether an estimation of the circumference of a circle is approximately equal to the actual measure.
6. 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 a circle graph with appropriate labels and title from organized data.
3. Determine when it is appropriate to use histograms, line graphs, double bar graphs, and stem-and-leaf plots.
4. Interpret data displays including histograms, stem-and-leaf plots, circle graphs, and double line graphs. (Stem And Leaf Plots )
5. Answer questions based on data displays including histograms, stem-and-leaf plots, circle graphs, and double line graphs. (Stem And Leaf Plots )
6. Find the mean, median, mode, and range of a given numerical data set. (Mean, Median, Mode , Stem And Leaf Plots )
7. Interpret trends from displayed data.
8. Compare trends in data related to the same investigation.
9. Solve contextual problems using histograms, line graphs of continuous data, double bar graphs, and stem-and-leaf plots. (Stem And Leaf Plots )
C2 Probability
1. Determine the probability that a specific event will occur in a single stage probability experiment (e.g., Find the probability of drawing a red marble from a bag with 3 red, 5 blue, and 9 black marbles.). (Probability , Probability 2 )
2. Compare probabilities to determine the fairness of a contextual situation (e.g. If John wins when two or greater shows after a six-sided number cube is rolled and Joaquin wins otherwise, is this a fair game?).
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. Make predictions from the results of student-generated experiments using objects (e.g., coins, spinners, number cubes, cards).
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 up to three sets of objects (e.g., How many outfits can be made with 3 pants, 2 tee shirts and 2 pairs of shoes?).
2. Determine all possible arrangements of a given set, using a systematic list, table, tree diagram, or other representation.
C4 Vertex-Edge Graphs
1. Find the shortest circuit on a map that makes a tour of specified sites (vertex-edge graph).
Patterns, Algebra, and Functions
C1 Patterns1. Communicate a grade-level appropriate recursive pattern, using symbols or numbers.
2. Extend a grade-level appropriate recursive pattern.
3. Solve grade-level appropriate 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 )
C3 Algebraic Representations
1. Evaluate an expression containing two variables by substituting integers for the variable (e.g., 7x + m, when x = -4 and m = 12). (Variable Substitution 2 )
2. Use variables in contextual situations. (Algebraic Word Problems )
3. Translate a written sentence into a one-step, one-variable algebraic equation. (Age Problems )
4. Translate a sentence written in context into an algebraic equation involving one operation. (Algebraic Word Problems )
5. Solve one-step equations using inverse operations with positive rational numbers (e.g., (2/3)n = 6 ). (Linear Equations , Single Variable Equations )
C4 Analysis of Change
1. Analyze change in various linear contextual situations.
Geometry and Measurement
C1 Geometric Properties1. Draw a geometric figure showing specified properties (e.g., Draw an obtuse triangle.).
2. Classify 3-dimensional solids by their configuration and properties (e.g., parallelism, perpendicularity and congruency).
3. Identify the net (2-dimensional representation) that corresponds to a rectangular prism, cone, or cylinder.
4. Distinguish between length, area, and volume, using 2- and 3-dimensional geometric figures.
5. Draw polygons with appropriate labels.
6. Identify the angles created by two lines and a transversal. (Identifying Angles )
7. Recognize the relationship between central angles and intercepted arcs.
8. Identify arcs and chords of a circle.
9. Model the triangle inequality theorem using manipulatives. (Requires outside materials )
10. Identify corresponding parts of congruent polygons as congruent.
C2 Transformation of Shapes
1. Identify rotations about a point, using pictorial models.
2. Recognize simple single rotations, translations or reflections on a coordinate grid. (Translations and Reflections )
C3 Coordinate Geometry
1. Graph data points in (x, y) form in any quadrant of a coordinate grid. (Ordered Pairs )
2. State the missing coordinate of a given figure in any quadrant of a coordinate grid using geometric properties (e.g., Find the coordinates of the missing vertex of a rectangle when two adjacent sides are drawn.).
C4 Measurement - Units of Measure - Geometric Objects
1. Identify the appropriate unit of measure for the volume of an object (e.g., cubic inches or cubic cm).
2. Measure to the appropriate degree of accuracy.
3. Convert a measurement from U.S. customary to metric, and vice versa. (Distance Conversion , Volume Conversion , Weight Conversion , Temperature Conversion )
4. Solve problems involving the circumference of a circle. (Circle Circumference )
5. Solve problems involving the area of a circle. (Circle Area )
6. Solve problems for the areas of parallelograms, triangles, and circles. (Triangle Area , Triangle Area 2 , Parallelogram Area , Circle Area )
7. Identify polygons having the same perimeter or area. (Compare Rectangle Area and Perimeter )
8. Compare estimated to actual lengths based on scale drawings or maps.
Structure and Logic
C1 Algorithms and Algorithmic Thinking1. Discriminate necessary information from unnecessary information in a given grade-level appropriate word problem.
2. Analyze algorithms for computing with fractions.
C2 Logic, Reasoning, Arguments, and Mathematical Proof
1. Solve a logic problem using multiple variables. (Age Problems )
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