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

1.a: Add and subtract up to five-digit whole numbers with and without regrouping.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)

1.b: Add and subtract decimals through hundredths.

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

1.e: Add and subtract fractions with like denominators.

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

1.f: Model and identify equivalent fractions.

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.g: Represent equivalence relationships between fractions and decimals using concrete materials, diagrams, or other models.

Fraction, Decimal, Percent (Area and Grid Models)

1.h: Estimate products and quotients of whole numbers to include strategies such as rounding.

Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)

1.i: Recall multiplication and division facts.

Critter Count (Modeling Multiplication)

1.k: Determine and use benchmark numbers such as 0, 0.5 (½), and 1 to judge the magnitude of whole numbers, decimals, and fractions.

Fraction, Decimal, Percent (Area and Grid Models)

1.l: Model factors and multiples of whole numbers.

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

2: Analyze and represent patterns, number relationships, and functions using algebraic symbols. Demonstrate an understanding of the properties of the basic operations.

2.a: Analyze a given numeric pattern and generate a similar pattern.

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

2.c: Construct input/output function tables and generalize the rule using words, models, and symbols.

Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)

2.d: Explain the properties of the basic operations using models, numbers, and variables:

2.d.3: Commutative properties of addition and multiplication

Chocomatic (Multiplication, Arrays, and Area)

2.d.5: Distributive properties of multiplication over addition and subtraction

Chocomatic (Multiplication, Arrays, and Area)

2.e: Demonstrate and explain the inverse operations of addition/subtraction and multiplication/division.

Factor Trees (Factoring Numbers)
Function Machines 3 (Functions and Problem Solving)

3: Analyze characteristics, properties, and relationships of two- and three-dimensional geometric shapes. Use coordinate geometry.

3.c: Identify transformations (rotations [turns], reflections [flips], and translations [slides]) of two-dimensional figures.

Rock Art (Transformations)

3.d: Locate ordered pairs in the first quadrant of the coordinate plane.

City Tour (Coordinates)

4: Evaluate and justify measurable attributes of objects, units, systems, and processes. Perform measurements.

4.a: Estimate and measure a given object to the nearest eighth of an inch.

Cannonball Clowns (Number Line Estimation)

4.b: Convert capacity, weight/mass, and length within the English and metric systems of measurement.

Cannonball Clowns (Number Line Estimation)

4.c: Describe relationships of rectangular area to numerical multiplication.

Chocomatic (Multiplication, Arrays, and Area)

4.d: Use appropriate tools to determine, estimate, and compare units for measurement of weight/mass, area, size of angle, temperature, length, distance, and volume in English and metric systems and time in real-life situations.

Cannonball Clowns (Number Line Estimation)
Fido's Flower Bed (Perimeter and Area)
Measuring Trees

5: Formulate and analyze data. Evaluate inferences and predictions.

5.a: Draw, label, and interpret bar graphs, line graphs, and stem-and-leaf plots.

Elevator Operator (Line Graphs)
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

5.b: Find and interpret the mean, mode, median, and range of a set of data.

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

5.c: Compare data and interpret quantities represented on tables and graphs including line graphs, bar graphs, frequency tables, and stem-and-leaf 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)