6: Demonstrate and apply a knowledge and sense of numbers, including numeration and operations (addition, subtraction, multiplication, division), patterns, ratios and proportions.

6.4.01: Read, write, recognize, and model equivalent representations of whole numbers and their place values up to 1,000,000.

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

6.4.03: Read, write, recognize, and model equivalent representations of fractions; divide regions or sets to represent a fraction.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
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)

6.4.04: Represent multiplication as repeated addition.

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

6.4.05: Order and compare whole numbers up to 100,000.

Modeling Whole Numbers and Decimals (Base-10 Blocks)

6.4.06: Order and compare decimals through hundredths.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

6.4.07: Order and compare fractions having like denominators with or without models.

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)
Toy Factory (Set Models of Fractions)

6.4.08: Identify and locate whole numbers, halves, and fourths on a number line.

Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Number Line Frog Hop (Addition and Subtraction)

6.4.09: Solve problems involving descriptions of numbers, including characteristics and relationships (e.g., odd/even, factors/multiples, greater than, less than).

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Pattern Flip (Patterns)

6.4.10: Solve problems and number sentences involving addition and subtraction with regrouping and multiplication (up to three-digit by one-digit).

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

6.4.12: Model and apply basic multiplication and division facts (up to 12×12), and apply them to related multiples of 10 (e.g., 3×9=27, 30×9=270, 6÷3=2, 600÷3=200).

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

6.4.13: Model situations involving addition and subtraction of fractions with like denominators.

Fraction Artist 2 (Area Models of Fractions)

6.4.14: Solve problems involving the commutative and distributive properties of operations on whole numbers [e.g., 8 + 7 = 7 + 8, 27 × 5 = (20×5) + (7×5)].

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

6.4.15: Use the inverse relationships between addition/subtraction and multiplication/division to complete basic fact sentences and solve problems (e.g., 4×3=12, 12÷3=__).

Factor Trees (Factoring Numbers)
Function Machines 3 (Functions and Problem Solving)

6.4.16: Make estimates appropriate to a given situation with whole numbers.

Cannonball Clowns (Number Line Estimation)
Multiplying Decimals (Area Model)

7: Estimate, make and use measurements of objects, quantities and relationships and determine acceptable levels of accuracy.

7.4.01: Solve problems involving elapsed time in compound units (e.g., 1 hour and 40 minutes) that occur in the same half day (a.m. only or p.m. only).

Elapsed Time

7.4.02: Select and use appropriate standard units and tools to measure length (to the nearest ½ inch or ½ cm), time, and temperature.

Cannonball Clowns (Number Line Estimation)
Measuring Trees

7.4.03: Solve problems involving the perimeter of a polygon with given side lengths and the area of a square, rectangle, or irregular shape composed of rectangles using diagrams, models, and grids or by measuring (may include sketching a figure from its description).

Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)

7.4.04: Compare and estimate length (including perimeter), area, volume, and weight/mass using referents.

Cannonball Clowns (Number Line Estimation)

7.4.05: Determine the volume of a solid figure that shows cubic units.

Balancing Blocks (Volume)

8: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results.

8.4.01: Determine a missing term in a pattern (sequence), describe a pattern (sequence), and extend a pattern (sequence) when given a description or pattern (sequence).

Pattern Finder
Pattern Flip (Patterns)

9: Use geometric methods to analyze, categorize and draw conclusions about points, lines, planes and space.

9.4.01: Identify, describe, and sketch two-dimensional shapes (triangles, quadrilaterals, pentagons, hexagons, and octagons) according to the number of sides, length of sides, number of vertices, and right angles.

Classifying Quadrilaterals

9.4.03: Differentiate between polygons and non-polygons

Classifying Quadrilaterals

9.4.04: Graph, locate, identify points, and describe paths using ordered pairs (first quadrant).

City Tour (Coordinates)
Function Machines 2 (Functions, Tables, and Graphs)

9.4.06: Identify images resulting from flips (reflections), slides (translations), or turns (rotations).

Rock Art (Transformations)

9.4.08: Identify and sketch right angles.

Classifying Quadrilaterals

10: Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

10.4.01: Read and interpret data represented in a pictograph, bar graph, line (dot) plot, Venn diagram (with two circles), tally chart, table, line graph, or circle graph.

Elevator Operator (Line Graphs)
Forest Ecosystem
Graphing Skills
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)

10.4.02: Create a pictograph, bar graph, tally chart, or table for a given set of data.

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

10.4.03: Determine the mode and range, given a set of data or a graph.

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

10.4.04: Classify events using words such as certain, most likely, equally likely, least likely, possible, and impossible.

Spin the Big Wheel! (Probability)