### 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 Decimals

Modeling Decimals (Area and Grid Models)

Modeling Decimals (Base-10 Blocks)

Treasure Hunter (Decimals on the Number Line)

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

Chocomatic (Multiplication, Arrays, and Area)

Factor Trees (Factoring Numbers)

Pattern Flip (Patterns)

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

Chocomatic (Multiplication, Arrays, and Area)

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)

Factor Trees (Factoring Numbers)

Fraction Artist 1 (Area Models of Fractions)

Fraction Artist 2 (Area Models of Fractions)

Fraction Garden (Comparing Fractions)

Fractions Greater than One (Fraction Tiles)

Modeling Fractions (Area Models)

Toy Factory (Set Models of Fractions)

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

Fractions Greater than One (Fraction Tiles)

### 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)

Points, Lines, and Equations

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

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

Factor Trees (Factoring Numbers)

Function Machines 3 (Functions and Problem Solving)

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

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

Points in the Coordinate Plane

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

City Tour (Coordinates)

Elevator Operator (Line Graphs)

Function Machines 2 (Functions, Tables, and Graphs)

Function Machines 3 (Functions and Problem Solving)

Points in the Coordinate Plane

Points, Lines, and Equations

### 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.

Cannonball Clowns (Number Line Estimation)

#### 4.b: Convert units within a given measurement system to include length, weight/mass, and volume.

Cannonball Clowns (Number Line Estimation)

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

Area of Triangles

Chocomatic (Multiplication, Arrays, and Area)

Fido's Flower Bed (Perimeter and Area)

#### 4.d: Select and apply appropriate units for measuring length, mass, volume, and temperature in the standard (English and metric) systems.

Cannonball Clowns (Number Line Estimation)

### 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

Reaction Time 2 (Graphs and Statistics)

Correlation last revised: 12/8/2008