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Arizona Math Standards - 6th Grade
MathScore aligns to the Arizona Math Standards for 6th 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 ratios, comparing two whole numbers (e.g., ¾ is equivalent to 3:4 and 3 to 4). (Ratios )
2. Compare two proper fractions, improper fractions, or mixed numbers. (Fraction Comparison )
3. Order three or more proper fractions, improper fractions, or mixed numbers.
4. Determine the equivalency between and among fractions, decimals, and percents in contextual situations. (Percentage Pictures )
5. Identify the greatest common factor for two whole numbers. (Greatest Common Factor )
6. Determine the least common multiple for two whole numbers. (Least Common Multiple )
7. Express a whole number as a product of its prime factors, using exponents when appropriate. (Prime Factoring , Prime Factoring 2 )
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. (Arithmetic Word Problems )
3. Apply grade-level appropriate properties to assist in computation.
4. Apply the symbols for ... or to represent repeating decimals and : to represent ratios, superscripts as exponents. (Exponent Basics )
5. Use grade-level appropriate mathematical terminology.
6. Simplify fractions to lowest terms. (Basic Fraction Simplification , Fraction Simplification )
7. Add or subtract proper fractions and mixed numbers with unlike denominators with regrouping. (Fraction Addition , Fraction Subtraction )
8. Demonstrate the process of multiplication of proper fractions using models.
9. Multiply proper fractions. (Fraction Multiplication )
10. Multiply mixed numbers. (Fraction Multiplication )
11. Demonstrate that division is the inverse of multiplication of proper fractions.
12. Divide proper fractions. (Fraction Division )
13. Divide mixed numbers. (Fraction Division )
14. Solve problems involving fractions or decimals (including money) in contextual situations. (Making Change , Unit Cost , Fraction Word Problems , Fraction Word Problems 2 )
15. 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. (Estimated Multiplication , Estimated Division , Estimated Multiply Divide Word Problems )
2. Use estimation to verify the reasonableness of a calculation (e.g., Is 5/9 x 3/7 more than 1?).
3. Round to estimate quantities in contextual situations (e.g., round up or round down). (Rounding Numbers , Rounding Large Numbers , Decimal Rounding to .01 , Decimal Rounding )
4. Estimate and measure for the area and perimeter of polygons using a grid.
5. 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 histogram, line graph, scatter plot, or stem-and-leaf plot with appropriate labels and title from organized data.
3. Interpret simple displays of data including double bar graphs, tally charts, frequency tables, circle graphs, and line graphs. (Tally and Pictographs , Line Graphs )
4. Answer questions based on simple displays of data including double bar graphs, tally charts, frequency tables, circle graphs, and line graphs. (Tally and Pictographs , Line Graphs )
5. Find the mean, median (odd number of data points), mode, range, and extreme values of a given numerical data set. (Mean, Median, Mode )
6. Identify a trend (variable increasing, decreasing, remaining constant) from displayed data.
7. Compare trends in data related to the same investigation.
8. Solve contextual problems using bar graphs, tally charts, and frequency tables. (Tally and Pictographs , Bar Graphs )
C2 Probability
1. Name the possible outcomes for a probability experiment.
2. Express probabilities of a single event as a decimal.
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 a combination of three sets of three items, using a systematic approach (e.g., 3 different shirts, 3 different pairs of pants, and 3 different belts).
2. Determine all possible arrangements given a set with four or fewer objects using a systematic list, table or tree diagram when order is not important.
C4 Vertex-Edge Graphs
1. Find the shortest route on a map from one site to another (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 iterative pattern. (Patterns: Numbers )
3. Solve grade-level appropriate iterative pattern problems. (Patterns: Numbers )
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 expressions involving the four basic operations by substituting given fractions for the variable (e.g., n+3, when n= 1/2 ).
2. Use variables in contextual situations.
3. Translate a written phrase to an algebraic expression (e.g., The quotient of m and 5 is m/5 or m ÷ 5.). (Phrases to Algebraic Expressions )
4. Translate a phrase written in context into an algebraic expression (e.g., Write an expression to describe the situation: John has x pieces of candy and buys three more. x + 3). (Algebraic Sentences )
5. Solve one-step equations with one variable represented by a letter or symbol, using inverse operations with whole numbers. (Linear Equations , Single Variable Equations , Algebraic Word Problems )
C4 Analysis of Change
1. Identify values on a given line graph or scatter plot (e.g., Given a line showing wages earned per hour, what is the wage at five hours?).
Geometry and Measurement
C1 Geometric Properties1. Classify polygons by their attributes (e.g., number of sides, length of sides, angles, parallelism, perpendicularity). (Polygon Names )
2. Draw a geometric figure showing specified properties, such as parallelism and perpendicularity. (Parallel and Perpendicular Lines )
3. Classify prisms, pyramids, cones, and cylinders by base shape and lateral surface shape.
4. Classify 3-dimensional figures by their attributes.
5. Compare attributes of 2-dimensional figures with 3-dimensional figures.
6. Draw triangles with appropriate labels.
7. Identify supplementary or complementary angles. (Identifying Angles )
8. Identify the diameter, radius, and circumference of a circle or sphere. (Circle Measurements )
9. Draw a 2-dimensional shape with a given number of lines of symmetry.
C2 Transformation of Shapes
1. Identify reflections and translations using pictures.
2. Perform elementary transformations to create a tessellation.
C3 Coordinate Geometry
1. Graph a polygon in the first quadrant using ordered pairs.
2. State the missing coordinate of a given figure in the first 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. Determine the appropriate measure of accuracy within a system for a given contextual situation
2. Determine the appropriate tool needed to measure to the needed accuracy.
3. Determine a linear measurement to the appropriate degree of accuracy.
4. Measure angles using a protractor.
5. Convert within a single measurement system (U.S. customary or metric) (e.g., How many ounces are equivalent to 2 pounds?). (Distance Conversion , Time Conversion , Volume Conversion , Weight Conversion , Temperature Conversion )
6. Solve problems involving the perimeter of polygons. (Perimeter )
7. Determine the area of triangles. (Triangle Area )
8. Distinguish between perimeter and area in contextual situation. (Perimeter and Area Word Problems )
9. Solve problems for the areas of parallelograms (includes rectangles). (Parallelogram Area )
10. Identify parallelograms having the same perimeter or area. (Compare Rectangle Area and Perimeter )
11. Determine the actual measure of objects using a scale drawing or map.
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 decimals.
C2 Logic, Reasoning, Arguments, and Mathematical Proof
1. Solve a simple logic problem from given information (e.g., Which of three different people live in which of three different colored houses?).
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