Arizona State Standards for Mathematics: Grade 2

AZ.M02-S1. Number and Operations

M02-S1C1. Number Sense: Understand and apply numbers, ways of representing numbers, and the relationships among numbers and different number systems.

M02-S1C1-01. Express whole numbers 0 to 1000, in groups of hundreds, tens and ones using and connecting multiple representations.

M02-S1C1-02. Count forward to 1000 and backward from 1000 by 1s, 10s, and 100s using different starting points.

M02-S1C1-03. Identify numbers which are 100 more or less than a given number to 900.

M02-S1C1-04. Compare and order whole numbers through 1000 by applying the concept of place value.

M02-S1C1-05. Count money to $1.00.

M02-S1C1-06. Sort whole numbers through 1000 into odd and even, and justify the sort.

M02-S1C2. Numerical Operations: Understand and apply numerical operations and their relationship to one another.

M02-S1C2-01. Solve contextual problems using multiple representations involving

M02-S1C2-01.a. Addition and subtraction with one- and/or two-digit numbers

M02-S1C2-01.b. Multiplication for 1s, 2s, 5s, and 10s

M02-S1C2-01.c. Adding and subtracting money to $1.00.

M02-S1C2-02. Demonstrate the ability to add and subtract whole numbers (to two digits) and decimals (in the context of money)

M02-S1C2-02.a. With up to three addends

M02-S1C2-02.b. To $1.00.

M02-S1C2-03. Demonstrate fluency of addition and subtraction facts.

M02-S1C2-04. Apply and interpret the concept of addition and subtraction as inverse operations to solve problems.

M02-S1C2-05. Create and solve word problems based on addition and subtraction of two-digit numbers.

M02-S1C2-06. Demonstrate the concept of multiplication for 1s, 2s, 5s, and 10s.

M02-S1C2-07. Describe the effect of operations (addition and subtraction) on the size of whole numbers.

M02-S1C2-08. Apply properties to solve addition/subtraction problems

M02-S1C2-08.a. Identity property of addition/ subtraction

M02-S1C2-08.b. Commutative property of addition

M02-S1C2-08.c. Associative property of addition.

M02-S1C3. Estimation: Use estimation strategies reasonably and fluently while integrating content from each of the other strands.

M02-S1C3-01. Use estimation to determine if sums of two 2-digit numbers are more or less than 20, more or less than 50, or more or less than 100.

AZ.M02-S2. Data Analysis, Probability, and Discrete Mathematics

M02-S2C1. Data Analysis (Statistics): Understand and apply data collection, organization, and representation to analyze and sort data.

M02-S2C1-01. Collect, record, organize, and display data using pictographs, frequency tables, or single bar graphs.

M02-S2C1-02. Formulate and answer questions by interpreting displays of data, including pictographs, frequency tables, or single bar graphs.

M02-S2C3. Systematic Listing and Counting: Understand and demonstrate the systematic listing and counting of possible outcomes.

M02-S2C3-01. List all possibilities in counting situations.

M02-S2C3-02. Solve a variety of problems based on the addition principle of counting.

M02-S2C4. Vertex-Edge Graphs: Understand and apply vertex-edge graphs.

M02-S2C4-01. Color simple pictures or maps using the least number of colors and justify the coloring.

M02-S2C4-02. Build vertex-edge graphs using concrete materials and explore properties of vertex-edge graphs

M02-S2C4-02.a. Number of vertices and edges

M02-S2C4-02.b. Neighboring vertices

M02-S2C4-02c. Paths in a graph.

M02-S2C4-03. Construct simple vertex-edge graphs from simple pictures or maps.

AZ.M02-S3. Patterns, Algebra, and Functions

M02-S3C1. Patterns: Identify patterns and apply pattern recognition to reason mathematically while integrating content from each of the other strands.

M02-S3C1-01. Recognize, describe, extend, create, and find missing terms in a numerical or symbolic pattern.

M02-S3C1-02. Explain the rule for a given numerical or symbolic pattern and verify that the rule works.

M02-S3C2. Functions and Relationships: Describe and model functions and their relationships.

M02-S3C2-01. Describe a rule that represents a given relationship between two quantities using words or pictures.

M02-S3C3. Algebraic Representations: Represent and analyze mathematical situations and structures using algebraic representations.

M02-S3C3-01. Record equivalent forms of whole numbers to 1000 by constructing models and using numbers.

M02-S3C3-02. Compare expressions using spoken words and the symbols =, not equal to, <, and >.

M02-S3C3-03. Represent a word problem requiring addition or subtraction through 100 using an equation.

M02-S3C3-04. Identify the value of an unknown number in an equation involving an addition or subtraction fact.

AZ.M02-S4. Geometry and Measurement

M02-S4C1. Geometric Properties: Analyze the attributes and properties of 2- and 3- dimensional figures and develop mathematical arguments about their relationships.

M02-S4C1-01. Describe and compare the attributes of polygons up to six sides using the terms side, vertex, point, and length.

M02-S4C2. Transformation of Shapes: Apply spatial reasoning to create transformations and use symmetry to analyze mathematical situations.

M02-S4C2-01. Indentify, with justification, whether a 2-dimensional figure has lines of symmetry.

M02-S4C4. Measurement: Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.

M02-S4C4-01. Tell time to the nearest minute using analog and digital clocks.

M02-S4C4-02. Apply measurement skills to measure the attributes of an object (length, capacity, weight).

M02-S4C4-03. Read temperatures on a thermometer using Fahrenheit and Celsius.

M02-S4C4-04. Demonstrate unit conversions

M02-S4C4-04.a. 1 foot = 12 inches

M02-S4C4-04.b. 1 quart = 4 cups

M02-S4C4-04.c. 1 pound = 16 ounces

M02-S4C4-04.d. 1 hour = 60 minutes

M02-S4C4-04.e. 1 day = 24 hours

M02-S4C4-04.f. 1 week = 7 days

M02-S4C4-04.g. 1 year = 12 months.

AZ.M02-S5. Structure and Logic

M02-S5C2. Logic, Reasoning, Problem Solving, and Proof: Evaluate situations, select problem-solving strategies, draw logical conclusions, develop and describe solutions, and recognize their applications.

M02-S5C2-01. Identify the question(s) asked and any other questions that need to be answered in order to find a solution

M02-S5C2-02. Identify the given information that can be used to find a solution.

M02-S5C2-03. Select from a variety of problem-solving strategies and use one or more strategies to arrive at a solution.

M02-S5C2-04. Represent a problem situation using any combination of words, numbers, pictures, physical objects, or symbols.

M02-S5C2-05. Explain and clarify mathematical thinking.

M02-S5C2-06. Determine whether a solution is reasonable.