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

6.A: Demonstrate knowledge and use of numbers and their representations in a broad range of theoretical and practical settings.

6.A.2: Compare and order whole numbers, fractions and decimals using concrete materials, drawings and mathematical symbols.

Comparing and Ordering Decimals
Equivalent Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Modeling Decimals (Area and Grid Models)
Modeling Fractions (Area Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Toy Factory (Set Models of Fractions)

6.B: Investigate, represent and solve problems using number facts, operations (addition, subtraction, multiplication, division) and their properties, algorithms and relationships.

6.B.2: Solve one- and two-step problems involving whole numbers, fractions and decimals using addition, subtraction, multiplication and division.

Adding Fractions (Fraction Tiles)
Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Critter Count (Modeling Multiplication)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction, Decimal, Percent (Area and Grid Models)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Multiplying Decimals (Area Model)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)
Pattern Flip (Patterns)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

6.C: Compute and estimate using mental mathematics, paper-and-pencil methods, calculators and computers.

6.C.2b: Show evidence that computational results using whole numbers, fractions and decimals are correct and/or that estimates are reasonable.

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.A: Measure and compare quantities using appropriate units, instruments and methods.

7.A.2a: Calculate, compare and convert length, perimeter, area, weight/mass and volume within the customary and metric systems.

Area of Triangles
Cannonball Clowns (Number Line Estimation)
Chocomatic (Multiplication, Arrays, and Area)
Fido's Flower Bed (Perimeter and Area)
Measuring Trees

7.A.2b: Solve addition, subtraction, multiplication and division problems using currency.

Cargo Captain (Multi-digit Subtraction)

7.B: Estimate measurements and determine acceptable levels of accuracy.

7.B.2b: Estimate conversions between measures within the customary and metric systems.

Cannonball Clowns (Number Line Estimation)

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

8.A: Describe numerical relationships using variables and patterns.

8.A.2a: Identify, describe, extend and create geometric and numeric patterns.

Function Machines 1 (Functions and Tables)
Pattern Flip (Patterns)

8.C: Solve problems using systems of numbers and their properties.

8.C.2: Explain operations and number properties including commutative, associative, distributive, transitive, zero, equality and order of operations.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Order of Operations

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

9.B: Identify, describe, classify and compare relationships using points, lines, planes and solids.

9.B.2: Compare geometric figures and determine their properties including parallel, perpendicular, similar, congruent and line symmetry.

Classifying Quadrilaterals
Rock Art (Transformations)

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

10.A: Organize, describe and make predictions from existing data.

10.A.2a: Organize and display data using pictures, tallies, tables, charts, bar graphs, line graphs, line plots and stem-and-leaf graphs.

Distance-Time Graphs
Elevator Operator (Line Graphs)
Forest Ecosystem
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

10.A.2b: Using a data set, determine mean, median, mode and range, with and without the use of technology.

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

10.B: Formulate questions, design data collection methods, gather and analyze data and communicate findings.

10.B.2a: Formulate questions of interest and select methods to systematically collect data.

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

10.B.2b: Collect, organize and display data using tables, charts, bar graphs, line graphs, circle graphs, line plots and stem-and-leaf graphs.

Distance-Time Graphs
Elevator Operator (Line Graphs)
Graphing Skills
Mascot Election (Pictographs and Bar Graphs)
Prairie Ecosystem
Reaction Time 1 (Graphs and Statistics)
Reaction Time 2 (Graphs and Statistics)

10.B.2c: Analyze the data using mean, median, mode and range, as appropriate, with or without the use of technology.

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

10.C: Determine, describe and apply the probabilities of events.

10.C.2b: Compare the likelihood of events in terms of certain, more likely, less likely or impossible.

Spin the Big Wheel! (Probability)