Arizona State Standards for Mathematics: Grade 3

AZ.M02-S1. Number and Operations

M03-S1C1. Number Sense: Understand and apply numbers, ways of representing numbers, and the relationships among numbers and different number systems.

M03-S1C1-01. Express whole numbers through six digits using and connecting multiple representations.

M03-S1C1-02. Compare and order whole numbers through six digits by applying the concept of place value.

M03-S1C1-03. Count and represent money using coins and bills to $100.00.

M03-S1C1-04. Sort whole numbers into sets and justify the sort.

M03-S1C1-05. Express benchmark fractions as fair sharing, parts of a whole, or parts of a set.

M03-S1C1-06. Compare and order benchmark fractions.

M03-S1C2. Numerical Operations: Understand and apply numerical operations and their relationship to one another.

M03-S1C2-01. Add and subtract whole numbers to four digits.

M03-S1C2-02. Create and solve word problems based on addition, subtraction, multiplication, and division.

M03-S1C2-03. Demonstrate the concept of multiplication and division using multiple models.

M03-S1C2-04. Demonstrate fluency of multiplication and division facts through 10.

M03-S1C2-05. Apply and interpret the concept of multiplication and division as inverse operations to solve problems.

M03-S1C2-06. Describe the effect of operations (multiplication and division) on the size of whole numbers.

M03-S1C2-07. Apply commutative, identity, and zero properties to multiplication and apply the identity property to division.

M03-S1C3. Estimation: Use estimation strategies reasonably and fluently while integrating content from each of the other strands.

M03-S1C3-01. Make estimates appropriate to a given situation or computation with whole numbers.

AZ.M03-S2. Data Analysis, Probability, and Discrete Mathematics

M03-S2C1. Data Analysis (Statistics): Understand and apply data collection, organization, and representation to analyze and sort data.

M03-S2C1-01. Collect, record, organize, and display data using frequency tables, single bar graphs, or single line graphs.

M03-S2C1-02. Formulate and answer questions by interpreting and analyzing displays of data, including frequency tables, single bar graphs, or single line graphs.

M03-S2C3. Systematic Listing and Counting: Understand and demonstrate the systematic listing and counting of possible outcomes.

M03-S2C3-01. Represent all possibilities for a variety of counting problems using arrays, charts, and systematic lists; draw conclusions from these representations.

M03-S2C3-02. Solve a variety of problems based on the multiplication principle of counting.

M03-S2C4. Vertex-Edge Graphs: Understand and apply vertex-edge graphs.

M03-S2C4-01. Color complex maps using the least number of colors and justify the coloring.

M03-S2C4-02. Investigate properties of vertex-edge graphs

M03-S2C4-02.a. Circuits in a graph

M03-S2C4-02.b. Weights on edges

M03-S2C4-02.c. Shortest path between two vertices.

M03-S2C4-03. Solve problems using vertex-edge graphs.

AZ.M03-S3. Patterns, Algebra, and Functions

M03-S3C1. Patterns: Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other strands.

M03-S3C1-01. Recognize, describe, extend, create, and find missing terms in a numerical sequence.

M03-S3C1-02. Explain the rule for a given numerical sequence and verify that the rule works.

M03-S3C2. Functions and Relationships: Describe and model functions and their relationships.

M03-S3C2-01. Recognize and describe a relationship between two quantities, given by a chart, table or graph, in which the quantities change proportionally, using words, pictures, or expressions.

M03-S3C2-02. Translate between the different representations of whole number relationships, including symbolic, numerical, verbal, or pictorial.

M03-S3C3. Algebraic Representations: Represent and analyze mathematical situations and structures using algebraic representations.

M03-S3C3-01. Record equivalent forms of whole numbers to six digits by constructing models and using numbers.

M03-S3C3-02. Use a symbol to represent an unknown quantity in a given context.

M03-S3C3-03. Create and solve simple one-step equations that can be solved using addition and multiplication facts.

AZ.M03-S4. Geometry and Measurement

M03-S4C1. Geometric Properties: Analyze the attributes and properties of 2- and 3- dimensional figures and develop mathematical arguments about their relationships.

M03-S4C1-01. Describe sequences of 2-dimensional figures created by increasing the number of sides, changing size, or changing orientation.

M03-S4C1-02. Recognize similar figures.

M03-S4C1-03. Identify and describe 3-dimensional figures including their relationship to real world objects: sphere, cube, cone, cylinder, pyramids, and rectangular prisms.

M03-S4C1-04. Describe and compare attributes of two- and three-dimensional figures.

M03-S4C2. Transformation of Shapes: Apply spatial reasoning to create transformations and use symmetry to analyze mathematical situations.

M03-S4C2-01. Identify a translation, reflection, or rotation and model its effect on a 2-dimensional figure.

M03-S4C2-02. Identify, with justification, all lines of symmetry in a 2-dimensional figure.

M03-S4C4. Measurement: Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.

M03-S4C4-01. Determine elapsed time

M03-S4C4-01.a. Across months using a calendar

M03-S4C4-01.b. By hours and half hours using a clock.

M03-S4C4-02. Apply measurement skills to measure length, weight, and capacity using US Customary units.

AZ.M03-S5. Structure and Logic

M03-S5C2. Logic, Reasoning, Problem Solving, and Proof: Evaluate situations, select problem-solving strategies, draw logical conclusions, develop and describe solutions, and recognize their applications.

M03-S5C2-01. Analyze a problem situation to determine the question(s) to be answered.

M03-S5C2-02. Identify relevant, missing, and extraneous information related to the solution to a problem.

M03-S5C2-03. Select and use one or more strategies to efficiently solve the problem and justify the selection.

M03-S5C2-04. Determine whether a problem to be solved is similar to previously solved problems, and identify possible strategies for solving the problem.

M03-S5C2-05. Represent a problem situation using any combination of words, numbers, pictures, physical objects, or symbols.

M03-S5C2-06. Summarize mathematical information, explain reasoning, and draw conclusions.

M03-S5C2-07. Analyze and evaluate whether a solution is reasonable, is mathematically correct, and answers the question.

M03-S5C2-08. Make and test conjectures based on data (or information) collected from explorations and experiments.