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# Arizona Standards Ninth Grade Mathematics resources

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Number and Operations

MHS-S1C1. Number Sense: Understand and apply numbers, ways of representing numbers, and the relationships among numbers and different number systems.

MHS-S1C1-02. Sort sets of numbers as finite or infinite, and justify the sort.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

MHS-S1C2. Numerical Operations: Understand and apply numerical operations and their relationship to one another.

MHS-S1C2-02. Summarize the properties of and connections between real number operations; justify manipulations of expressions using the properties of real number operations.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

MHS-S1C2-03. Calculate powers and roots of rational and irrational numbers.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers

MHS-S1C3. Estimation: Use estimation strategies reasonably and fluently while integrating content from each of the other strands.

MHS-S1C3-01. Determine rational approximations of irrational numbers.

Flip Charts Math Grade 8

Flip Charts The Real Numbers

Data Analysis, Probability, and Discrete Mathematics

MHS-S2C1. Data Analysis (Statistics): Understand and apply data collection, organization, and representation to analyze and sort data.

MHS-S2C1-03. Display data, including paired data, as lists, tables, matrices, and plots with or without technology; make predictions and observations about patterns or departures from patterns.

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

MHS-S2C1-08. Design simple experiments or investigations and collect data to answer questions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

MHS-S2C3. Systematic Listing and Counting: Understand and demonstrate the systematic listing and counting of possible outcomes.

MHS-S2C3-01. Apply the addition and multiplication principles of counting, representing these principles algebraically using factorial notation.

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

MHS-S2C3-02. Apply appropriate means of computing the number of possible arrangements of items using permutations where order matters, and combinations where order does not matter.

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

Patterns, Algebra, and Functions

MHS-S3C1. Patterns: Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other strands.

MHS-S3C1-01. Recognize, describe, and analyze sequences using tables, graphs, words, or symbols; use sequences in modeling.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

MHS-S3C1-02. Determine a specific term of a sequence.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

MHS-S3C1-03. Create sequences using explicit and recursive formulas involving both subscripts and function notation.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

MHS-S3C2. Functions and Relationships: Describe and model functions and their relationships.

MHS-S3C2-02. Determine if a relationship represented by an equation, graph, table, description, or set of ordered pairs is a function.

Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

MHS-S3C2-04. Use equations, graphs, tables, descriptions, or sets of ordered pairs to express a relationship between two variables.

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

MHS-S3C3. Algebraic Representations: Represent and analyze mathematical situations and structures using algebraic representations.

MHS-S3C3-02. Solve formulas for specified variables.

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

MHS-S3C3-05. Solve linear equations and equations involving absolute value, with one variable.

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

MHS-S3C3-06. Solve linear inequalities in one variable.

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

MHS-S3C3-07. Solve systems of two linear equations in two variables.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

Flip Charts Systems of Equations

MHS-S3C3-08. Simplify and evaluate polynomials, rational expressions, expressions containing absolute value, and radicals.

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

MHS-S3C3-10. Add, subtract, and multiply polynomial and rational expressions.

Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

MHS-S3C4. Analysis of Change: Analyze how changing the values of one quantity corresponds to change in the values of another quantity.

MHS-S3C4-01. Determine the slope and intercepts of the graph of a linear function, interpreting slope as a constant rate of change.

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

MHS-S3C4-03. Solve interest problems.

Flip Charts Applying Percents

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Applications of percent

Geometry and Measurement

MHS-S4C1. Geometric Properties: Analyze the attributes and properties of 2- and 3- dimensional figures and develop mathematical arguments about their relationships.

MHS-S4C1-04. Apply properties, theorems, and constructions about parallel lines, perpendicular lines, and angles to prove theorems.

Flip Charts Math Grade 8

Flip Charts Plane Geometry

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

MHS-S4C1-06. Solve problems using angle and side length relationships and attributes of polygons.

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

MHS-S4C2. Transformation of Shapes: Apply spatial reasoning to create transformations and use symmetry to analyze mathematical situations.

MHS-S4C2-04. Determine the effects of a single transformation on linear or area measurements of a 2-dimensional figure.

Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

MHS-S4C3. Coordinate Geometry: Specify and describe spatial relationships using rectangular and other coordinate systems while integrating content from each of the other strands.

MHS-S4C3-04. Verify characteristics of a given geometric figure using coordinate formulas for distance, midpoint, and slope to confirm parallelism, perpendicularity, and congruence.

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

MHS-S4C3-05. Graph a linear equation or linear inequality in two variables.

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

MHS-S4C3-07. Determine the solution to a system of linear equations in two variables from the graphs of the equations.

Flip Charts Introduction to Functions

Flip Charts Math Grade 8

Flip Charts Systems of Equations

Flip Charts Systems of Equations

MHS-S4C4. Measurement: Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.

MHS-S4C4-04. Solve problems involving similar figures using ratios and proportions

Flip Charts Math Grade 8

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

MHS-S4C4-05. Calculate the surface area and volume of 3-dimensional figures and solve for missing measures.

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

Structure and Logic

MHS-S5C2. Logic, Reasoning, Problem Solving, and Proof: Evaluate situations, select problem-solving strategies, draw logical conclusions, develop and describe solutions, and recognize their applications.

MHS-S5C2-01. Analyze a problem situation, determine the question(s) to be answered, organize given information, determine how to represent the problem, and identify implicit and explicit assumptions that have been made.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

MHS-S5C2-02. Solve problems by formulating one or more strategies, applying the strategies, verifying the solution(s), and communicating the reasoning used to obtain the solution(s).

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

MHS-S5C2-03. Evaluate a solution for reasonableness and interpret the meaning of the solution in the context of the original problem.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

MHS-S5C2-04. Generalize a solution strategy for a single problem to a class of related problems; explain the role of generalizations in inductive and deductive reasoning.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

MHS-S5C2-06. Synthesize mathematical information from multiple sources to draw a conclusion, make inferences based on mathematical information, evaluate the conclusions of others, analyze a mathematical argument, and recognize flaws or gaps in reasoning.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

MHS-S5C2-08. Use inductive reasoning to make conjectures, use deductive reasoning to analyze and prove a valid conjecture, and develop a counterexample to refute an invalid conjecture.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

MHS-S5C2-12. Construct a simple formal deductive proof.

Quiz, Flash Cards, Worksheet, Game & Study Guide Mathematical processes

MHS-S5C2-13. Identify and explain the roles played by definitions, postulates, propositions and theorems in the logical structure of mathematics, including Euclidean geometry.

Flip Charts Dot to Dot

Flip Charts Math Grade 8

Flip Charts Perimeter & Area

Flip Charts Plane Geometry

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Patterns in geometry

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement