1: The learner will demonstrate an understanding of fractions and whole number operations.

1.01: Develop number sense for rational numbers to at least 10,000.

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 part-whole meaning of fractions as sharing equally with area, set, region, and length models.

1.02.a: Use models and benchmarks (0, 1/2, 1) to compare and order fractions including common equivalents.

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, and eighths;

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)

1.03: Develop fluency and flexibility with multi-digit addition and subtraction.

1.03.a: Use strategies for adding and subtracting numbers (including, but not limited to, standard algorithms)

Cargo Captain (Multi-digit Subtraction)

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

Target Sum Card Game (Multi-digit Addition)

1.04: Demonstrate conceptual understanding of the meaning of multiplication and division through multiple models.

1.04.a: Make connections about the multiples and factors of a given number.

Factor Trees (Factoring Numbers)

1.04.b: Analyze the relationship between multiplication and division.

Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)

1.05: Develop fluency with multiplication facts for 1's, 2's, 5's, 10's, 0's and strategies for 3's, 4's, 6's, 7's, 8's, 9's; and related division facts.

Factor Trees (Factoring Numbers)

2: The learner will apply the processes and components of measuring using customary measurement units.

2.01: Develop an understanding of and use the processes for measuring with customary units of measurement (length, weight, capacity, and temperature) recognizing that:

2.01.b: larger units can be subdivided into equivalent units (partitioning),

Toy Factory (Set Models of Fractions)

3: The learner will use the rectangular coordinate system and the basic geometric properties of two-dimensional shapes.

3.02: Use rectangular coordinate system to:

3.02.a: graph and identify points with whole number or letter coordinates,

City Tour (Coordinates)

3.02.b: describe possible paths between given points on the plane,

City Tour (Coordinates)

4: The learner will use and understand the statistical process and simple probability concepts.

4.01: Use the process of statistical investigation.

4.01.a: Pose questions that involve collecting categorical and numerical data.

Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

4.01.b: Design investigations to answer questions using observations, surveys and experiments.

Mascot Election (Pictographs and Bar Graphs)

4.01.c: Collect, organize, represent and analyze data using various representations including tables and bar graphs.

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.d: Describe the shape of set of data and important features, including concepts of mode and variability (minimum and maximum values and range).

Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

4.02: Understand situations involving simple probability.

4.02.a: Judge the probability of events as being (certain, likely, equally likely, unlikely, possible, or impossible) to occur.

Spin the Big Wheel! (Probability)

4.02.b: Conduct simple probability experiments.

Spin the Big Wheel! (Probability)

5: The learner will explore functional relationships and use variables.

5.01: Analyze numeric and nonnumeric growing patterns to explore functional relationships.

Pattern Flip (Patterns)

5.02: Model, write and evaluate simple multiplication and division equations.

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

No Alien Left Behind (Division with Remainders)

5.02.b: Demonstrate an understanding of equality.

No Alien Left Behind (Division with Remainders)

5.02.c: Find the value of variables.

No Alien Left Behind (Division with Remainders)

5.03: Demonstrate an understanding of the commutative and identity properties for addition and multiplication.

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