### 1: Analyze relationships among numbers and the four basic operations, compute fluently, and make reasonable estimates.

#### 1.a: Compare and order integers, decimals to the nearest thousandths, like and unlike fractions, and mixed numbers using >, <, and =.

Comparing and Ordering Integers

Fraction Garden (Comparing Fractions)

Fraction, Decimal, Percent (Area and Grid Models)

Modeling Decimals (Area and Grid Models)

Modeling Fractions (Area Models)

Treasure Hunter (Decimals on the Number Line)

#### 1.b: Compose and decompose seven-digit numbers and decimals through thousandths in word, standard, and expanded forms.

Cannonball Clowns (Number Line Estimation)

Modeling Decimals (Area and Grid Models)

Number Line Frog Hop (Addition and Subtraction)

Treasure Hunter (Decimals on the Number Line)

#### 1.c: Identify factors and multiples of whole numbers.

Factor Trees (Factoring Numbers)

#### 1.d: Model and distinguish between prime and composite numbers.

Factor Trees (Factoring Numbers)

#### 1.e: Model and identify equivalent fractions including conversion of improper fractions to mixed numbers and vice versa.

Adding Fractions (Fraction Tiles)

Equivalent Fractions (Fraction Tiles)

Fraction Garden (Comparing Fractions)

Fractions Greater than One (Fraction Tiles)

Modeling Fractions (Area Models)

#### 1.f: Add, subtract, multiply, and divide (with and without remainders) using nonnegative rational numbers.

No Alien Left Behind (Division with Remainders)

#### 1.g: Estimate sums, differences, products, and quotients of non-negative rational numbers to include strategies such as front-end rounding, benchmark numbers, compatible numbers, and rounding.

Multiplying Decimals (Area Model)

Target Sum Card Game (Multi-digit Addition)

### 2: Explain and analyze number relationships and functions using algebraic symbols, and demonstrate an understanding of the properties of the basic operations.

#### 2.b: Devise a rule for an input/output function table, describing it in words and symbols.

Function Machines 1 (Functions and Tables)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

#### 2.c: Apply the properties of basic operations to solve problems:

2.c.1: Zero property of multiplication

Chocomatic (Multiplication, Arrays, and Area)

Critter Count (Modeling Multiplication)

2.c.2: Commutative properties of addition and multiplication

Chocomatic (Multiplication, Arrays, and Area)

Critter Count (Modeling Multiplication)

2.c.4: Distributive properties of multiplication over addition and subtraction

Chocomatic (Multiplication, Arrays, and Area)

2.c.5: Identity properties of addition and multiplication

Chocomatic (Multiplication, Arrays, and Area)

Critter Count (Modeling Multiplication)

#### 2.d: Apply inverse operations of addition/subtraction and multiplication/division to problem-solving situations.

Function Machines 3 (Functions and Problem Solving)

### 3: Develop mathematical arguments about geometric relationships and describe spatial relationships using coordinate geometry.

#### 3.a: Analyze and describe the characteristics of symmetry relative to classes of polygons (parallelograms, triangles, etc.).

Quilting Bee (Symmetry)

#### 3.b: Explain the relationships between coordinates in each quadrant of the coordinate plane.

City Tour (Coordinates)

#### 3.c: Describe the characteristics, including the relationship of the pre-image and the image, of each type of transformation (rotations [turns], reflections [flips], and translations [slides]) of two-dimensional figures.

Quilting Bee (Symmetry)

Rock Art (Transformations)

#### 3.e: Label ordered pairs in the coordinate plane.

City Tour (Coordinates)

### 4: Develop concepts and apply appropriate tools and techniques to determine units of measure.

#### 4.a: Estimate and measure length to nearest millimeter in the metric system and one-sixteenth inch in the English system.

Measuring Trees

#### 4.c: Develop, compare, and use formulas to estimate and calculate the perimeter and area of rectangles, triangles, and parallelograms.

Fido's Flower Bed (Perimeter and Area)

Measuring Motion

### 5: Interpret and analyze data and make predictions.

#### 5.a: Use the mean, median, mode, and range to analyze a data set.

Movie Reviewer (Mean and Median)

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

#### 5.b: Compare data and interpret quantities represented on tables and graphs, including line graphs, stem-and-leaf plots, histograms, and box-and-whisker plots to make predictions, and solve problems based on the information.

Elevator Operator (Line Graphs)

Graphing Skills

Mascot Election (Pictographs and Bar Graphs)

Reaction Time 1 (Graphs and Statistics)

Reaction Time 2 (Graphs and Statistics)

Content correlation last revised: 12/8/2008