### 1: Number and Operations

#### 1.1: Understand numbers, ways of representing numbers, relationships among numbers, and number systems

1.1.A: Read, write and compare numbers

1.1.A.1: compare and order integers, positive rationals and percents, including finding their approximate location on a number line

1.1.C: Compose and decompose numbers

1.1.C.1: recognize equivalent representations for the same number and generate them by decomposing and composing numbers, including expanded notation

#### 1.2: Understand meanings of operations and how they relate to one another

1.2.B: Describe effects of operations

1.2.B.1: describe the effects of addition and subtraction on fractions and decimals

#### 1.3: Compute fluently and make reasonable estimates

1.3.C: Compute problems

1.3.C.1: add and subtract positive rational numbers

1.3.D: Estimate and justify solutions

1.3.D.1: estimate and justify the results of addition and subtraction of positive rational numbers

1.3.E: Use proportional reasoning

1.3.E.1: solve problems using equivalent ratios

### 2: Algebraic Relationships

#### 2.1: Understand patterns, relations, and functions

2.1.B: Create and analyze patterns

2.1.B.1: represent and describe patterns with tables, graphs, pictures, symbolic rules or words

2.1.C: Classify objects and representations

2.1.C.1: compare various forms of representations to identify a pattern

2.1.D: Identify and compare functions

2.1.D.1: identify functions as linear or nonlinear from a table or graph

#### 2.2: Represent and analyze mathematical situations and structures using algebraic symbols

2.2.A: Represent mathematical situations

2.2.A.1: use variables to represent unknown quantities in expressions

#### 2.3: Use mathematical models to represent and understand quantitative relationships

2.3.A: Use mathematical models

2.3.A.1: model and solve problems, using multiple representations such as graphs, tables, expressions and equations

#### 2.4: Analyze change in various contexts

2.4.A: Analyze change

2.4.A.1: compare situations with constant or varying rates of change

### 3: Geometric and Spatial Relationships

#### 3.1: Analyze characteristics and properties of two- and three- dimensional geometric shapes and develop mathematical arguments about geometric relationships

3.1.A: Describe and use geometric relationships

3.1.A.1: identify the properties of 1- 2- and 3- dimensional shapes using the appropriate geometric vocabulary

#### 3.2: Specify locations and describe spatial relationships using coordinate geometry and other representational systems

3.2.A: Use coordinate systems

3.2.A.1: use coordinate geometry to construct geometric shapes

#### 3.3: Apply transformations and use symmetry to analyze mathematical situations

3.3.A: Use transformations on objects

3.3.A.1: describe the transformation from a given pre-image to its image using the terms reflection/flips, rotation/turn and translation/ slide

3.3.C: Use symmetry

3.3.C.1: create polygons and designs with rotational symmetry

### 4: Measurement

#### 4.1: Understand measurable attributes of objects and the units, systems and processes of measurement

4.1.A: Determine unit of measurement

4.1.A.1: identify and justify an angle as acute, obtuse, straight or right

4.1.C: Tell and use units of time

4.1.C.1: solve problems involving elapsed time (hours and minutes)

#### 4.2: Apply appropriate techniques, tools and formulas to determine measurements.

4.2.C: Apply geometric measurements

4.2.C.1: describe how to solve problems involving the area or perimeter of polygons

### 5: Data and Probability

#### 5.1: Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them

5.1.C: Represent and interpret data

5.1.C.1: interpret circle graphs; create and interpret stem-and-leaf plots

#### 5.2: Select and use appropriate statistical methods to analyze data

5.2.A: Describe and analyze data

5.2.A.1: find the range and measures of center, including median, mode and mean

5.2.B: Compare data representations

5.2.B.1: compare different representations of the same data and evaluate how well each representation shows important aspects of the data

Correlation last revised: 10/24/2008

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