1: The student will use algebraic methods to describe patterns and solve problems in a variety of contexts.

1.1: Describe rules that produce patterns found in tables, graphs, and models, and use variables (e.g., boxes, letters, pawns, number cubes, or other symbols) to solve problems or to describe general rules in algebraic expression or equation form.

Function Machines 1 (Functions and Tables)
Pattern Flip (Patterns)

1.3: Recognize and apply the commutative, associative, and distributive properties to solve problems (e.g., 3 x (2 + 4) = (3 x 2) + (3 x 4)).

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

2: The student will use numbers and number relationships to acquire basic facts. The student will estimate and compute with whole numbers, fractions, and decimals.

2.1: Number Sense

2.1.a: Apply the concept of place value of whole numbers through hundred millions (9 digits) and model, read, and write decimal numbers through the thousandths.

Cannonball Clowns (Number Line Estimation)
Comparing and Ordering Decimals
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Rounding Whole Numbers (Number Line)
Target Sum Card Game (Multi-digit Addition)
Treasure Hunter (Decimals on the Number Line)

2.1.b: Represent with models the connection between fractions and decimals, compare and order fractions and decimals, and be able to convert from one representation to the other to solve problems. (e.g., use 10x10 grids, base 10 blocks).

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Comparing and Ordering Decimals
Equivalent Fractions (Fraction Tiles)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

2.1.d: Identify and apply factors, multiples, prime, and composite numbers in a variety of problem-solving situations (e.g., build rectangular arrays for numbers 1-100 and classify as prime or composite, use common factors to add fractions).

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Pattern Flip (Patterns)

2.2: Number Operations

2.2.a: Estimate, add, or subtract decimal numbers with same and different place values to solve problems (e.g., 3.72 + 1.4, $4.56 - $2.12).

Adding Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

2.2.b: Estimate add, or subtract fractions (including mixed numbers) to solve problems using a variety of methods (e.g., use fraction strips, use area models, find a common denominator).

Adding Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

2.2.c: Estimate and find the quotient (with and without remainders) with two-digit divisors and a two- or three-digit dividend to solve application problems.

No Alien Left Behind (Division with Remainders)

3: The student will apply geometric properties and relationships.

3.1: Compare and contrast the basic characteristics of circle and polygons (triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons).

Classifying Quadrilaterals

4: The student use appropriate units of measure to solve problems in a variety of contexts.

4.1: Measurement

4.1.b: Develop and use the formula for perimeter and area of a square and rectangle to solve application problems.

Area of Triangles
Chocomatic (Multiplication, Arrays, and Area)

4.1.c: Convert basic measurements of volume, mass and distance within the same system for metric and customary units (e.g., inches to feet, hours to minutes, centimeters to meters).

Cannonball Clowns (Number Line Estimation)

5: The student will use data analysis, statistics and probability to interpret data in a variety of contexts.

5.1: Data Analysis

5.1.a: Compare and translate displays of data and justify the selection of the type of table of graph (e.g., charts, tables, bar graphs, pictographs, line graphs, circle graphs, Venn diagrams).

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)

5.3: Determine the range (spread), mode (most often), and median (middle) of a set of data.

Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)