1: The student will use a variety of problem-solving approaches to extend and create patterns.

1.1: Describe (orally or in written form), create, extend and predict patterns in a variety of situations (e.g., 3, 6, 9, 12... , use a function machine to generate input and output values for a table, show multiplication patterns on a hundreds chart, determine a rule and generate additional pairs with the same relationship).

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

1.2: Find unknowns in simple arithmetic problems by solving open sentences (equations) and other problems involving addition, subtraction, and multiplication.

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Multiplying Decimals (Area Model)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

1.3: Recognize and apply the commutative and identity properties of multiplication using models and manipulative to develop computational skills (e.g., 3 · 5 = 5 · 3, 7 · 1 = 7).

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.

2.1: Number Sense

2.1.b: Whole Numbers and Fractions

2.1.b.i: Compare and order whole numbers up to 4 digits.

Modeling Whole Numbers and Decimals (Base-10 Blocks)

2.1.b.ii: Create and compare physical and pictorial models of equivalent and nonequivalent fractions including halves, thirds, fourths, eighths, tenths, twelfths, and common percents (25%, 50%, 75%, 100%) (e.g., fraction circles, pictures, egg cartons, fraction strips, number lines).

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)

2.2: Number Operations

2.2.a: Estimate and find the sum or difference (with and without regrouping) of 3- and 4-digit numbers using a variety of strategies to solve application problems.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

2.2.b: Multiplication Concepts and Fact Families

2.2.b.i: Use physical models and a variety of multiplication algorithms to find the product of multiplication problems with one-digit multipliers.

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

2.2.b.ii: Demonstrate fluency (memorize and apply) with basic multiplication facts up to 10 x 10 and the associated division facts (e.g., 5 x 6 = 30 and 30 ÷ 6 = 5).

Critter Count (Modeling Multiplication)

3: The student will use geometric properties and relationships to recognize and describe shapes.

3.3: Make and use coordinate systems to specify locations and shapes on a grid with ordered pairs and to describe paths from one point to another point on a grid.

City Tour (Coordinates)
Elevator Operator (Line Graphs)

4: The student will use appropriate units of measure to solve problems.

4.1: Measurement

4.1.a: Choose an appropriate measurement instrument and measure the length of objects to the nearest inch or half-inch and the weight of objects to the nearest pound or ounce.

Cannonball Clowns (Number Line Estimation)

4.1.b: Choose an appropriate measurement instrument and measure the length of objects to the nearest meter or centimeter and the weight of objects to the nearest gram or kilogram.

Cannonball Clowns (Number Line Estimation)
Measuring Trees

4.1.c: Develop and use the concept of perimeter of different shapes to solve problems.

Fido's Flower Bed (Perimeter and Area)

4.1.d: Develop and use strategies to choose an appropriate unit and measurement instrument to estimate measurements (e.g., use parts of the body as benchmarks for measuring length).

Cannonball Clowns (Number Line Estimation)

5: The student will demonstrate an understanding of collection, display, and interpretation of data and probability.

5.1: Data Analysis

5.1.a: Pose questions, collect, record, and interpret data to help answer questions (e.g., which was the most popular booth at our carnival?).

Movie Reviewer (Mean and Median)
Reaction Time 2 (Graphs and Statistics)
Real-Time Histogram

5.1.c: Construct bar graphs, frequency tables, line graphs (plots), and pictographs with labels and a title from a set of data.

Forest Ecosystem
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 1 (Graphs and Statistics)

5.2: Describe the probability (more, less, or equally likely) of chance events.

Spin the Big Wheel! (Probability)