1: The learner will build an understanding of and compute with non-negative rational numbers (.01 to at least 100,000).

1.01: Develop number sense for rational numbers from.01 to at least 100,000.

1.01.b: Identify the place and the value of a given digit in order to determine the magnitude of the number.

Cannonball Clowns (Number Line Estimation)
Modeling Decimals (Base-10 Blocks)

1.01.c: Compare and order (including the use of symbolic notation).

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

1.02: Develop understanding of the meanings and uses of fractions and decimals.

1.02.a: Use models, benchmarks (0,1/2,1, 1.5, 2 and so on), and reasoning to compare and order fractions and decimals.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

1.02.b: Model and describe common equivalents among:

1.02.b.1: halves, fourths, eighths, and mixed numbers;

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
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)

1.02.b.2: thirds, sixths, twelfths, and mixed numbers;

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
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)

1.02.b.3: fifths, tenths, hundredths, and mixed numbers.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
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)

1.02.c: Understand and use mixed numbers and their equivalent fraction forms.

Equivalent Fractions (Fraction Tiles)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)

1.02.d: Make connections between fractions and decimals.

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

1.03: Develop fluency and flexibility with multiplication and division involving:

1.03.a: tables 0-12;

Mascot Election (Pictographs and Bar Graphs)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

1.03.b: up to two-digit by one-digit multiplication;

Multiplying Decimals (Area Model)

1.03.d: up to three-digit by one-digit division with and without remainders (larger numbers with calculator);

No Alien Left Behind (Division with Remainders)

1.03.e: estimation of products and quotients and justification of the reasonableness of solutions in meaningful contexts.

No Alien Left Behind (Division with Remainders)
Target Sum Card Game (Multi-digit Addition)

1.04: Develop fluency with addition and subtraction of decimals and fractions with like denominators.

1.04.a: Develop and analyze strategies for adding and subtracting numbers.

Adding Decimals (Base-10 Blocks)
Adding Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Subtracting Decimals (Base-10 Blocks)

1.04.b: Estimate sums and differences and justify the reasonableness of the solutions in meaningful contexts.

Fraction Artist 2 (Area Models of Fractions)

3: The learner will demonstrate an understanding of symmetry, transformations, area and perimeter.

3.01: Identify and describe symmetry in two-dimensional shapes; create symmetrical shapes with line and/or rotational symmetry.

Quilting Bee (Symmetry)

3.02: Identify, predict, and describe the results of transformations of two-dimensional shapes using reflections, translations, and rotations.

Quilting Bee (Symmetry)
Rock Art (Transformations)

3.03: Solve problems involving area and perimeter.

3.03.b: Create physical and pictorial models of area with and without grids.

City Tour (Coordinates)

3.03.c: Estimate and measure area of rectangles.

Fido's Flower Bed (Perimeter and Area)
Measuring Motion

3.03.d: Estimate and measure perimeter of two-dimensional shapes.

Measuring Motion

4: The learner will understand and use graphs, probability and data analysis.

4.01: Use the process of statistical investigation.

4.01.a: Pose questions and design investigations that involve comparing two sets of related data each represented on the same type of graph using the same scale.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Movie Reviewer (Mean and Median)
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

4.01.b: Collect, organize, analyze and display data using various representations including line graphs.

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

4.01.c: Analyze data presented in graphs, including circle graphs.

Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Reaction Time 2 (Graphs and Statistics)

4.01.d: Compare two distributions of data, including their shapes, measures of center (mode, median) and variability (minimum and maximum values, unusual data points, and range).

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

4.02: Understand situations involving simple probability.

4.02.a: Determine probability of an event from a context that includes a visual representation.

Spin the Big Wheel! (Probability)

4.02.b: List all possible outcomes (sample space) of a situation or an event.

Spin the Big Wheel! (Probability)

5: The learner will demonstrate an understanding of mathematical relationships.

5.01: Analyze nonnumeric and numeric growing patterns.

5.01.a: Use rules to describe these patterns as functional relationships (arithmetic sequences only).

Pattern Flip (Patterns)

5.01.b: Create, extend, and find missing terms.

Pattern Flip (Patterns)

5.02: Model, write and evaluate whole number equations.

5.02.a: Solve problems, including using variables to represent unknown quantities.

Number Line Frog Hop (Addition and Subtraction)