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

6.5.01: Read, write, recognize, and model equivalent representations of whole numbers and their place values up to 100,000,000.

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

6.5.03: Read, write, recognize, and model equivalent representations of fractions, including improper fractions and mixed numbers.

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)

6.5.04: Recognize, translate between, and model multiple representations of decimals, fractions less than one (halves, quarters, fifths, and tenths), and percents (0%, 25%, 50%, 75%, and 100%).

Comparing and Ordering Decimals
Equivalent Fractions (Fraction Tiles)
Fraction Artist 1 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Toy Factory (Set Models of Fractions)
Treasure Hunter (Decimals on the Number Line)

6.5.05: Read, write, recognize, and model decimals and their place values through thousandths.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Comparing and Ordering Decimals
Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Multiplying Decimals (Area Model)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

6.5.06: Represent multiplication as repeated addition.

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

6.5.07: Order and compare whole numbers up to 1,000,000.

Modeling Whole Numbers and Decimals (Base-10 Blocks)

6.5.08: Order and compare decimals through hundredths.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Comparing and Ordering Decimals
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)

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

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)

6.5.10: Identify and locate whole numbers, halves, fourths, and thirds 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)

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

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

6.5.12: Solve problems and number sentences involving addition, subtraction, multiplication, and division using whole numbers.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)

6.5.13: Solve problems and number sentences involving addition and subtraction of decimals through hundredths (with or without monetary labels).

Adding Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

6.5.14: Model situations involving addition and subtraction of fractions.

Fraction Artist 2 (Area Models of Fractions)

6.5.15: Solve problems involving the commutative, distributive, and identity properties of operations on whole numbers (e.g., 37 × 46 = 46 × 37, 270×5= (200×5) + (70×5)].

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

6.5.16: Make estimates appropriate to a given situation with whole numbers, fractions, and decimals.

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

6.5.17: Identify and express ratios using appropriate notation (i.e., a/b, a to b), and identify equivalent ratios.

Fraction, Decimal, Percent (Area and Grid Models)
Road Trip (Problem Solving)

6.5.19: Read, write, recognize, and model percents (0%, 25%, 50%, 75%, and 100%).

Fraction, Decimal, Percent (Area and Grid Models)

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

7.5.01: Solve problems involving elapsed time in compound units.

Elapsed Time

7.5.02: Select and use appropriate standard units and tools to measure length (to the nearest ¼ inch or mm), mass/weight, capacity, and angles.

Cannonball Clowns (Number Line Estimation)
Measuring Trees

7.5.03: Solve problems involving the perimeter and area of a triangle, rectangle, or irregular shape using diagrams, models, and grids or by measuring or using given formulas (may include sketching a figure from its description).

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

7.5.04: Compare and estimate length (including perimeter), area, volume, weight/mass, and angles (0° to 180°) using referents.

Cannonball Clowns (Number Line Estimation)

7.5.05: Determine the volume of a right rectangular prism using an appropriate formula or strategy.

Balancing Blocks (Volume)

7.5.07: Solve problems involving map interpretation (e.g., one inch represents five miles, so two inches represent ten miles).

Points in the Coordinate Plane

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

8.5.01: Determine a missing term in a sequence, extend a sequence, and identify errors in a sequence when given a description or sequence.

Pattern Finder
Pattern Flip (Patterns)

8.5.02: Construct and identify a rule that can generate the terms of a given sequence.

Pattern Flip (Patterns)

8.5.05: Demonstrate, in simple situations, how a change in one quantity results in a change in another quantity (e.g., input-output tables).

Function Machines 1 (Functions and Tables)
Points, Lines, and Equations

8.5.07: Represent problems with equations and inequalities.

Comparing and Ordering Decimals

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

9.5.01: Classify, 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 interior angles (right, acute, obtuse).

Classifying Quadrilaterals

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

City Tour (Coordinates)
Function Machines 2 (Functions, Tables, and Graphs)
Points in the Coordinate Plane
Points, Lines, and Equations

9.5.07: Identify, describe, and predict results of reflections, translations, and rotations of two-dimensional shapes.

Rock Art (Transformations)

9.5.09: Identify and sketch acute, right, and obtuse angles.

Classifying Quadrilaterals

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

10.5.01: Read, interpret, and make predictions from data represented in a pictograph, bar graph, line (dot) plot, Venn diagram (with two circles), chart/table, line graph, or circle graph.

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

10.5.02: Create a pictograph, bar graph, chart/table, or line graph for a given set of data.

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

10.5.03: Determine the mode, range, median (with an odd number of data points), and mean, 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)