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 0.001 at least to 1,000,000.

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)

1.01.d: Identify factors and multiples including square, prime, and composite whole numbers to 100.

Factor Trees (Factoring Numbers)

1.02.b: up to three-digit by two-digit division with and without remainders (larger numbers with calculators).

No Alien Left Behind (Division with Remainders)

1.02.c: estimation of products and quotients and justification of the reasonableness of solutions in meaningful contexts.

No Alien Left Behind (Division with Remainders)

1.03: Develop fluency with addition and subtraction of decimals and fractions with unlike denominators (within fraction families):

1.03.1: halves, fourths, eighths, sixteenths and mixed numbers;

Adding Decimals (Base-10 Blocks)
Adding Fractions (Fraction Tiles)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Subtracting Decimals (Base-10 Blocks)

1.03.2: thirds, sixths, twelfths and mixed numbers;

Adding Decimals (Base-10 Blocks)
Adding Fractions (Fraction Tiles)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Subtracting Decimals (Base-10 Blocks)

1.03.3: fifths, tenths, hundredths, thousandths and mixed numbers.

Adding Decimals (Base-10 Blocks)
Adding Fractions (Fraction Tiles)
Fractions Greater than One (Fraction Tiles)
Subtracting Decimals (Base-10 Blocks)

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

Adding Decimals (Base-10 Blocks)
Adding Fractions (Fraction Tiles)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Subtracting Decimals (Base-10 Blocks)

2: The learner will develop fluency with standard units as they apply measurement concepts in multiple problem solving situations.

2.02: Identify, estimate, and measure the angles of plane shapes using appropriate tools.

Measuring Motion
Measuring Trees

3: The learner will understand and use properties and relationships of two- and three-dimensional shapes.

3.04: Explore concepts of volume and surface area for rectangular prisms.

Balancing Blocks (Volume)

4: The learner will analyze data representations using statistical concepts.

4.01: Use the process of statistical investigation.

4.01.a: Pose questions, formulate hypotheses, and design studies involve single or multiple sets of data to investigate and verify hypotheses.

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 stem-and-leaf plots.

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.c: Analyze data using 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)

4.01.d: Explore the mean as a measure of center and its interpretation as a fair share.

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

5: The learner will demonstrate an understanding of patterns, relationships and elementary algebraic representations.

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)

5.01.c: Display numeric results using coordinate graphs.

Elevator Operator (Line Graphs)
Pattern Flip (Patterns)

5.01.d: Write equations with symbolic rules.

Pattern Flip (Patterns)
Road Trip (Problem Solving)

5.02: Model, write and evaluate whole number equations and equations involving addition/subtraction of decimals and fractions.

5.02.a: Represent a problem including using variables to represent unknown quantities.

Number Line Frog Hop (Addition and Subtraction)

5.03: Develop and test generalizations based on observations of patterns and relationships:

5.03.a: identity property for addition and multiplication,

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Pattern Flip (Patterns)

5.03.b: associative property for addition and multiplication, and

Pattern Flip (Patterns)

5.03.c: distributive property.

Chocomatic (Multiplication, Arrays, and Area)
Pattern Flip (Patterns)