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

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

1.5.1.A: use place value to read, write, compare, and order whole numbers through 999,999,999,999;

Comparing and Ordering Integers

1.5.1.B: use place value to read, write, compare, and order decimals through the thousandths place.

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)

1.5.2: The student uses fractions in problem-solving situations.

1.5.2.A: generate a fraction equivalent to a given fraction such as 1/2 and 3/6 or 4/12 and 1/3;

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

1.5.2.C: compare two fractional quantities in problem-solving situations using a variety of methods, including common denominators;

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

1.5.2.D: use models to relate decimals to fractions that name tenths, hundredths, and thousandths.

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)
Toy Factory (Set Models of Fractions)

1.5.3: The student adds, subtracts, multiplies, and divides to solve meaningful problems.

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

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

1.5.3.C: use division to solve problems involving whole numbers (no more than two-digit divisors and three-digit dividends without technology), including interpreting the remainder within a given context;

No Alien Left Behind (Division with Remainders)

1.5.3.D: identify common factors of a set of whole numbers;

Factor Trees (Factoring Numbers)

1.5.3.E: model situations using addition and/or subtraction involving fractions with like denominators using [concrete objects,] pictures, words, and numbers.

Adding Fractions (Fraction Tiles)

1.5.4: The student estimates to determine reasonable results.

1.5.4.A: use strategies, including rounding and compatible numbers to estimate solutions to addition, subtraction, multiplication, and division problems.

Rounding Whole Numbers (Number Line)
Target Sum Card Game (Multi-digit Addition)

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

2.5.5: The student makes generalizations based on observed patterns and relationships.

2.5.5.A: describe the relationship between sets of data in graphic organizers such as lists, tables, charts, and diagrams;

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

2.5.5.B: identify prime and composite numbers using [concrete objects,] pictorial models, and patterns in factor pairs.

Factor Trees (Factoring Numbers)

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

3.5.8: The student models transformations.

3.5.8.B: identify the transformation that generates one figure from the other when given two congruent figures on a Quadrant I coordinate grid.

Rock Art (Transformations)

3.5.9: The student recognizes the connection between ordered pairs of numbers and locations of points on a plane.

3.5.9.A: locate and name points on a coordinate grid using ordered pairs of whole numbers.

City Tour (Coordinates)

(C): select and use appropriate units and formulas to measure length, perimeter, area, and volume.

Balancing Blocks (Volume)
Fido's Flower Bed (Perimeter and Area)

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

5.5.12: The student describes and predicts the results of a probability experiment.

5.5.12.A: use fractions to describe the results of an experiment;

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

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

5.5.13.A: use tables of related number pairs to make line graphs;

Elevator Operator (Line Graphs)
Graphing Skills

5.5.13.B: describe characteristics of data presented in tables and graphs including median, mode, and range;

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

5.5.13.C: graph a given set of data using an appropriate graphical representation such as a picture or line graph.

Elevator Operator (Line Graphs)
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)