## Holidays

## Math

American Symbols & HolidaysThanksgiving Day Displaying data Eighth Grade Math Sequences Eighth Grade Math Polynomials and Exponents Eighth Grade Math Ratios, proportions and percents Eighth Grade Math Perimeter and area Eighth Grade Math Introduction to Probability Seventh Grade Math ### AZ.M08-S1. Number and Operations

#### M08-S1C1. Number Sense: Understand and apply numbers, ways of representing numbers, and the relationships among numbers and different number systems.

##### M08-S1C1-01. Compare and order real numbers including very large and small integers, and decimals and fractions close to zero.

#### M08-S1C2. Numerical Operations: Understand and apply numerical operations and their relationship to one another.

##### M08-S1C2-01. Solve problems with factors, multiples, divisibility or remainders, prime numbers, and composite numbers.

##### M08-S1C2-03. Solve problems involving percent increase, percent decrease, and simple interest rates.

##### M08-S1C2-04. Convert standard notation to scientific notation and vice versa (include positive and negative exponents).

##### M08-S1C2-05. Simplify numerical expressions using the order of operations that include grouping symbols, square roots, cube roots, absolute values, and positive exponents.

### AZ.M08-S2. Data Analysis, Probability, and Discrete Mathematics

#### M08-S2C1. Data Analysis (Statistics): Understand and apply data collection, organization, and representation to analyze and sort data.

##### M08-S2C1-01. Solve problems by selecting, constructing, interpreting, and calculating with displays of data, including box and whisker plots and scatterplots.

##### M08-S2C1-04. Determine whether information is represented effectively and appropriately given a graph or a set of data by identifying sources of bias and compare and contrast the effectiveness of different representations of data.

#### M08-S2C2. Probability: Understand and apply the basic concepts of probability.

##### M08-S2C2-01. Determine theoretical and experimental conditional probabilities in compound probability experiments.

##### M08-S2C2-02. Interpret probabilities within a given context and compare the outcome of an experiment to predictions made prior to performing the experiment.

#### M08-S2C3. Systematic Listing and Counting: Understand and demonstrate the systematic listing and counting of possible outcomes.

##### M08-S2C3-01. Represent, analyze, and solve counting problems with or without ordering and repetitions.

##### M08-S2C3-02. Solve counting problems and represent counting principles algebraically including factorial notation.

### AZ.M08-S3. Patterns, Algebra, and Functions

#### M08-S3C1. Patterns: Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other strands.

##### M08-S3C1-01. Recognize, describe, create, and analyze numerical and geometric sequences using tables, graphs, words, or symbols; make conjectures about these sequences.

#### M08-S3C2. Functions and Relationships: Describe and model functions and their relationships.

##### M08-S3C2-02. Determine if a relationship represented by a graph or table is a function.

##### M08-S3C2-03. Write the rule for a simple function using algebraic notation.

##### M08-S3C2-05. Demonstrate that proportional relationships are linear using equations, graphs, or tables.

#### M08-S3C3. Algebraic Representations: Represent and analyze mathematical situations and structures using algebraic representations.

##### M08-S3C3-01. Write or identify algebraic expressions, equations, or inequalities that represent a situation.

##### M08-S3C3-05. Graph an inequality on a number line.

#### M08-S3C4. Analysis of Change: Analyze how changing the values of one quantity corresponds to change in the values of another quantity.

##### M08-S3C4-01. Interpret the relationship between a linear equation and its graph, identifying and computing slope and intercepts.

##### M08-S3C4-02. Solve problems involving simple rates.

### AZ.M08-S4. Geometry and Measurement

#### M08-S4C1. Geometric Properties: Analyze the attributes and properties of 2- and 3- dimensional figures and develop mathematical arguments about their relationships.

##### M08-S4C1-01. Identify the attributes of circles: radius, diameter, chords, tangents, secants, inscribed angles, central angles, intercepted arcs, circumference, and area.

##### M08-S4C1-03. Use proportional reasoning to determine congruence and similarity of triangles.

##### M08-S4C1-04. Use the Pythagorean Theorem to solve problems.

#### M08-S4C2. Transformation of Shapes: Apply spatial reasoning to create transformations and use symmetry to analyze mathematical situations.

##### M08-S4C2-01. Model the result of rotations in multiples of 45 degrees of a 2-dimensional figure about the origin.

##### M08-S4C2-02. Describe the transformations that create a given tessellation.

##### M08-S4C2-03. Identify lines of symmetry in plane figures or classify types of symmetries of 2-dimensional figures.

#### M08-S4C4. Measurement: Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.

##### M08-S4C4-02. Solve geometric problems using ratios and proportions.

##### M08-S4C4-03. Calculate the surface area and volume of rectangular prisms, right triangular prisms, and cylinders.

### AZ.M08-S5. Structure and Logic

#### M08-S5C1. Algorithms and Algorithmic Thinking: Use reasoning to solve mathematical problems.

##### M08-S5C1-01. Create an algorithm to solve problems involving indirect measurements, using proportional reasoning, dimensional analysis, and the concepts of density and rate.

#### M08-S5C2. Logic, Reasoning, Problem Solving, and Proof: Evaluate situations, select problem-solving strategies, draw logical conclusions, develop and describe solutions, and recognize their applications.

##### M08-S5C2-01. Analyze a problem situation to determine the question(s) to be answered.

##### M08-S5C2-02. Analyze and compare mathematical strategies for efficient problem solving; select and use one or more strategies to solve a problem.

##### M08-S5C2-03. Identify relevant, missing, and extraneous information related to the solution to a problem.

##### M08-S5C2-05. Apply a previously used problem-solving strategy in a new context.

##### M08-S5C2-07. Isolate and organize mathematical information taken from symbols, diagrams, and graphs to make inferences, draw conclusions, and justify reasoning.

##### M08-S5C2-08. Describe when to use proportional reasoning to solve a problem.

##### M08-S5C2-09. Make and test conjectures based on information collected from explorations and experiments.

##### M08-S5C2-10. Solve logic problems involving multiple variables, conditional statements, conjectures, and negation using words, charts, and pictures.

##### M08-S5C2-12. Make, validate, and justify conclusions and generalizations about linear relationships.

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