Standard 2: Understands and Applies Concepts of Algebra and Functions

Mathematics Curriculum

Diocese of Sioux City

Grade 3

Standard 2

Standard 2: Understands and applies concepts of algebra and functions.

Benchmark 1:Recognizes patterns and the rules that explain them

Critical Objectives:

3.2.1.1.Extends a linear pattern (ITBS)*

3.2.1.2.Understands the previous quantities determine the next in a linear pattern

3.2.1.3.Understands how a linear pattern can be used to solve problems

3.2.1.4.Recognizes a linear pattern

3.2.1.5.Predicts the next term in a linear pattern

3.2.1.6.Completes a number pattern (ITBS)

3.2.1.7.Predicts occurrence of integer(s) in a number sequence (ITBS)

3.2.1.8.Uses skip counting to complete a number pattern

3.2.1.9.Completes picture patterns

Standard 2: Understands and applies concepts of algebra and functions.

Benchmark 2:Understands the basic concept of a function

Critical Objectives:

3.2.2.1.Describes the connection between a function and its rule

3.2.2.2.Understands functions are expressions of regularity and patterns

3.2.2.3.Understands a function is a relation in which each element of a set is paired with exactly one element of another set

3.2.2.4.Knows the different ways functions can be represented

3.2.2.5.Describes the rule or function that would produce the pattern

Standard 2: Understands and applies concepts of algebra and functions.

Benchmark 3:Uses expressions and symbols to represent mathematical relationships

Critical Objectives:

3.2.3.1.Uses symbols in number sentences (ITBS)*

3.2.3.2.Understands boxes, letters, and symbols can be used to represent numbers

3.2.3.3.Understands expressions and equations are similar terms for an equality relationship

3.2.3.4.Knows how to write an equation to represent a problem situation

3.2.3.5.Uses zero property of addition and multiplication

3.2.3.6.Uses commutative property of addition and multiplication

3.2.3.7.Writes number sentences that model a situation using boxes, letters, or symbols in various positions

3.2.3.8.Writes an equation using a variety of formats

3.2.3.9.Identifies operational symbol that completes a solution (ITBS)

3.2.3.10.Substitutes a value for a variable to maintain an equality relationship (ITBS)

Standard 2: Understands and applies concepts of algebra and functions.

Benchmark 4:Uses models to represent mathematical problems

Critical Objectives:

3.2.4.1.Uses expressions and equations to represent problem situations

(ITBS)**

3.2.4.2.Understands concrete objects can represent real-world objects and situations

3.2.4.3.Uses concrete materials to model and solve a number sentence

3.2.4.4.Chooses a number sentence for a word problem (ITBS)

3.2.4.5.Solves multiple-step problems (ITBS)

3.2.4.6.Solves problems involving equations and inequalities (ITBS)*

3.2.4.7.Knows how to write an equation to represent a problem situation

3.2.4.8.Solves problems involving equations or inequalities using manipulatives, diagrams, models, symbolic expressions, or written phrases (ITBS)

Standard 2: Understands and applies concepts of algebra and functions.

Benchmark 5: Analyzes change in a variety of situations

Critical Objectives:

3.2.5.1.Describes change using tables and graphs

3.2.5.2.Recognizes data recorded during an experiment can show change

3.2.5.3.Describes how the rate of growth varies over time using the data represented in the table and graph

Diocese of Sioux City-1-2006