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AZ.M07-S1.Number and Operations
M07-S1C1. Number Sense: Understand and apply numbers, ways of representing numbers, and the relationships among numbers and different number systems. M07-S1C1-01. Recognize and convert between expressions for positive and negative rational numbers, including fractions, decimals, percents, and ratios. Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage
M07-S1C1-02. Find or use factors, multiples, or prime factorization within a set of numbers.
M07-S1C1-03. Compare and order rational numbers using various models and representations.
M07-S1C1-04. Model and solve simple problems involving absolute value.
M07-S1C2. Numerical Operations: Understand and apply numerical operations and their relationship to one another. M07-S1C2-01. Add, subtract, multiply, and divide integers.
M07-S1C2-02. Solve problems with rational numbers and appropriate operations using exact answers or estimates. Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
M07-S1C2-03. Solve problems involving percentages, ratio and proportion, including tax, discount, tips, and part/whole relationships. Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
M07-S1C2-04. Represent and interpret numbers using scientific notation (positive exponents only).
M07-S1C2-05. Simplify numerical expressions using the order of operations and appropriate mathematical properties.
M07-S1C3. Estimation: Use estimation strategies reasonably and fluently while integrating content from each of the other strands. M07-S1C3-01. Estimate and apply benchmarks for rational numbers and common irrational numbers. Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
M07-S1C3-02. Make estimates appropriate to a given situation. Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation
AZ.M07-S2.Data Analysis, Probability, and Discrete Mathematics
Data Analysis, Probability, and Discrete Mathematics
MO7-S2C1. Data Analysis (Statistics): Understand and apply data collection, organization, and representation to analyze and sort data. MO7-S2C1-01. Solve problems by selecting, constructing, and interpreting displays of data including multi-line graphs and scatterplots. Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics Quiz, Flash Cards, Worksheet, Game & Study Guide Tables
MO7-S2C1-04. Distinguish between a simple random and non-random sample.
MO7-S2C2. Probability: Understand and apply the basic concepts of probability. MO7-S2C2-02. Experiment with two different events to determine whether the two event are dependent or independent of each other.
MO7-S2C2-03. Compare the results of multiple repetitions of the same probability experiment to the theoretical probability
MO7-S2C3. Systematic Listing and Counting: Understand and demonstrate the systematic listing and counting of possible outcomes. MO7-S2C3-01. Analyze relationships among the tree diagrams where items repeat and do not repeat; make numerical connections to the multiplication principle of counting.
MO7-S2C3-02. Solve counting problems using Venn diagrams and represent the answer algebraically.
AZ.M07-S3.Patterns, Algebra, and Functions
Patterns, Algebra, and Functions
M07-S3C1. Patterns: Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other strands. M07-S3C1-01. Recognize, describe, create, and analyze numerical and geometric sequences using tables or graphs; make conjectures about these sequences. Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
M07-S3C3. Algebraic Representations: Represent and analyze mathematical situations and structures using algebraic representations. M07-S3C3-01. Write a single variable algebraic expression or one-step equation given a contextual situation.
M07-S3C3-02. Evaluate an expression containing one or two variables by substituting numbers for the variables Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas
M07-S3C3-03. Solve multi-step equations using inverse properties with rational numbers.
M07-S3C3-05. Create and solve two-step equations that can be solved using inverse operations with rational numbers.
M07-S3C3-06. Create and solve one-step inequalities with whole numbers.
M07-S3C4. Analysis of Change: Analyze how changing the values of one quantity corresponds to change in the values of another quantity. M07-S3C4-01. Use graphs and tables to model and analyze change.
AZ.M07-S4.Geometry and Measurement
M07-S4C1. Geometric Properties: Analyze the attributes and properties of 2- and 3- dimensional figures and develop mathematical arguments about their relationships. M07-S4C1-01. Recognize the relationship between central angles and intercepted arcs; identify arcs and chords of a circle.
M07-S4C1-02. Analyze and determine relationships between angles created by parallel lines cut by a transversal.
M07-S4C1-03. Draw and classify 3-dimensional figures with appropriate labels showing specified attributes of parallelism, congruence, perpendicularity, and symmetry.
M07-S4C1-05. Identify corresponding parts of congruent figures.
M07-S4C4. Measurement: Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements. M07-S4C4-01. Solve problems involving the circumference and area of a circle by calculating and estimating. Quiz, Flash Cards, Worksheet, Game & Study Guide Area Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas
M07-S4C4-04. Determine actual lengths based on scale drawings or maps.
M07-S4C4-05. Create a net to calculate the surface area of a given solid.
M07-S4C4-06. Identify the appropriate unit of measure to compute the volume of an object and justify reasoning.
M07-S4C4-07. Measure to the appropriate degree of accuracy and justify reasoning. Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
AZ.M07-S5.Structure and Logic
MO7-S5C2. Logic, Reasoning, Problem Solving, and Proof: Evaluate situations, select problem-solving strategies, draw logical conclusions, develop and describe solutions, and recognize their applications. MO7-S5C2-01. Analyze a problem situation to determine the question(s) to be answered.
MO7-S5C2-02. Analyze and compare mathematical strategies for efficient problem solving; select and use one or more strategies to solve a problem.
MO7-S5C2-03. Identify relevant, missing, and extraneous information related to the solution to a problem.
MO7-S5C2-05. Apply a previously used problem-solving strategy in a new context.
MO7-S5C2-07. Isolate and organize mathematical information taken from symbols, diagrams, and graphs to make inferences, draw conclusions, and justify reasoning.
MO7-S5C2-08. Make and test conjectures based on information collected from explorations and experiments.
MO7-S5C2-11. Use manipulatives and other modeling techniques to defend pi (pi) as a ratio of circumference to diameter. Quiz, Flash Cards, Worksheet, Game & Study Guide Area