1: The student will demonstrate an understanding of numbers, operations, and quantitative reasoning.

1.4.1: The student uses place value to represent whole numbers and decimals.

1.4.1.B: use place value to read, write, compare, and order decimals involving tenths and hundredths, including money, using [concrete objects and] pictorial models.

Adding Decimals (Base-10 Blocks)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

1.4.2: The student describes and compares fractional parts of whole objects or sets of objects.

1.4.2.A: use [concrete objects and] pictorial models to generate equivalent fractions;

Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)

1.4.2.B: model fraction quantities greater than one using [concrete objects and] pictorial models;

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)

1.4.2.C: compare and order fractions using [concrete objects and] pictorial models;

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Fractions (Area Models)

1.4.3: The student adds and subtracts to solve meaningful problems involving whole numbers and decimals.

1.4.3.A: use addition and subtraction to solve problems involving whole numbers;

Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)

1.4.3.B: add and subtract decimals to the hundredths place using [concrete objects and] pictorial models.

Adding Decimals (Base-10 Blocks)
Subtracting Decimals (Base-10 Blocks)

1.4.4: The student multiplies and divides to solve meaningful problems involving whole numbers.

1.4.4.A: model factors and products using arrays and area models;

Chocomatic (Multiplication, Arrays, and Area)

1.4.4.B: represent multiplication and division situations in picture, word, and number form;

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

1.4.4.C: recall and apply multiplication facts through 12 × 12;

Factor Trees (Factoring Numbers)

1.4.4.D: use multiplication to solve problems (no more than two digits times two digits without technology);

Multiplying Decimals (Area Model)

1.4.4.E: use division to solve problems (no more than one-digit divisors and three-digit dividends without technology).

No Alien Left Behind (Division with Remainders)

1.4.5: The student estimates to determine reasonable results.

1.4.5.A: round whole numbers to the nearest ten, hundred, or thousand to approximate reasonable results in problem situations;

Rounding Whole Numbers (Number Line)

1.4.5.B: use strategies including rounding and compatible numbers to estimate solutions to multiplication and division problems.

Target Sum Card Game (Multi-digit Addition)

2: The student will demonstrate an understanding of patterns, relationships, and algebraic reasoning.

2.4.6: The student uses patterns in multiplication and division.

2.4.6.A: use patterns and relationships to develop strategies to remember basic multiplication and division facts (such as the patterns in related multiplication and division number sentences (fact families) such as 9 × 9 = 81 and 81 ÷ 9 = 9);

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

3: The student will demonstrate an understanding of geometry and spatial reasoning.

3.4.8: The student identifies and describes attributes of geometric figures using formal geometric language.

3.4.8.B: identify and describe parallel and intersecting (including perpendicular) lines using [concrete objects and] pictorial models;

Modeling Decimals (Base-10 Blocks)

3.4.9: The student connects transformations to congruence and symmetry.

3.4.9.B: use translations, reflections, and rotations to verify that two shapes are congruent;

Rock Art (Transformations)

3.4.9.C: use reflections to verify that a shape has symmetry.

Quilting Bee (Symmetry)
Rock Art (Transformations)

3.4.10: The student recognizes the connection between numbers and points on a number line.

3.4.10.A: locate and name points on a number line using whole numbers, fractions such as halves and fourths, and decimals such as tenths.

Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Treasure Hunter (Decimals on the Number Line)

5: The student will demonstrate an understanding of probability and statistics.

5.4.13: The student solves problems by collecting, organizing, displaying, and interpreting sets of data.

5.4.13.A: use [concrete objects or] pictures to make generalizations about determining all possible combinations of a given set of data or of objects in a problem situation;

Modeling Decimals (Base-10 Blocks)

5.4.13.B: interpret bar graphs.

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