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AZ.M04-S1. Number and Operations
M04-S1C1. Number Sense: Understand and apply numbers, ways of representing numbers, and the relationships among numbers and different number systems.
M04-S1C1-01. Express whole numbers, fractions, decimals, and percents using and connecting multiple representations.
M04-S1C1-02. Compose and decompose whole numbers using factors and multiples.
M04-S1C1-03. Express fractions as fair sharing, parts of a whole, parts of a set, and locations on a real number line.
M04-S1C1-04. Compare and order decimals to hundredths.
M04-S1C1-05. Use simple ratios to describe problems in context.
M04-S1C2. Numerical Operations: Understand and apply numerical operations and their relationship to one another.
M04-S1C2-01. Add and subtract decimals through hundredths including money to $1000.00 and fractions with like denominators.
M04-S1C2-02. Use multiple strategies to multiply whole numbers
M04-S1C2-02.a. Two-digit by two-digit
M04-S1C2-02.b. Multi-digit by one-digit.
M04-S1C2-03. Demonstrate fluency of multiplication and division facts through 12.
M04-S1C2-04. Use multiple strategies to divide whole numbers.
M04-S1C2-05. Apply associative and distributive properties to solve multiplication and division problems
M04-S1C2-06. Apply order of operations with whole numbers.
M04-S1C3. Estimation: Use estimation strategies reasonably and fluently while integrating content from each of the other strands.
M04-S1C3-01. Use benchmarks as meaningful points of comparison for whole numbers, decimals, and fractions.
M04-S1C3-02. Make estimates appropriate to a given situation or computation with whole numbers and fractions.
AZ.M04-S2. Data Analysis, Probability, and Discrete Mathematics
M04-S2C1. Data Analysis (Statistics): Understand and apply data collection, organization, and representation to analyze and sort data.
M04-S2C1-01. Collect, record, organize, and display data using double bar graphs, single line graphs, or circle graphs.
M04-S2C1-02. Formulate and answer questions by interpreting and analyzing displays of data, including double bar graphs, single line graphs, or circle graphs
M04-S2C1-03. Use median, mode, and range to describe the distribution of a given data set.
AZ.M04-S3. Patterns, Algebra, and Functions
M04-S3C1. Patterns: Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other strands.
M04-S3C1-01. Recognize, describe, create, extend, and find missing terms in a numerical sequence involving whole numbers using all four basic operations.
M04-S3C3. Algebraic Representations: Represent and analyze mathematical situations and structures using algebraic representations.
M04-S3C3-01. Use a symbol to represent an unknown quantity in a simple algebraic expression involving all operations.
M04-S3C3-02. Create and solve one-step equations that can be solved using addition, subtraction, multiplication, and division of whole numbers.
AZ.M04-S4. Geometry and Measurement
M04-S4C1. Geometric Properties: Analyze the attributes and properties of 2- and 3- dimensional figures and develop mathematical arguments about their relationships.
M04-S4C1-01. Draw and describe the relationships between points, lines, line segments, rays, and angles including parallelism and perpendicularity.
M04-S4C1-02. Justify which objects in a collection match a given geometric description.
M04-S4C1-05. Recognize and draw congruent figures, and match them in a given collection.
M04-S4C1-06. Draw right, acute, obtuse, and straight angles and identify these angles in other geometric figures.
M04-S4C3. Coordinate Geometry: Specify and describe spatial relationships using rectangular and other coordinate systems while integrating content from each of the other strands.
M04-S4C3-01. Name, locate, and graph points in the first quadrant of the coordinate plane using ordered pairs.
M04-S4C3-03. Construct geometric figures with vertices at points on the coordinate plane.
M04-S4C4. Measurement: Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.
M04-S4C4-01. Compute elapsed time to the minute.
M04-S4C4-02. Apply measurement skills to measure length, mass, and capacity using metric units.
M04-S4C4-04. Solve problems involving perimeter of 2-dimensional figures and area of rectangles.
AZ.M04-S5. Structure and Logic
M04-S1C1. Algorithms and Algorithmic Thinking: Use reasoning to solve mathematical problems.
M04-S1C1-01. Analyze common algorithms for computing (adding, subtracting, multiplying, and dividing) with whole numbers using the associative, commutative, and distributive properties.
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