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Offers a method for finding the slope of a line from its graph.
Lesson Plan
Grades: 6th to 8th, High School, 9th to 12th
Ratio & Proportion
Functions
Expression/Equation
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Interpreting Functions
Use functions to model relationships between quantities.
Understand the connections between proportional relationships, lines, and linear equations.
8.EE.B.6, 8.F.B.4, HSF-IF.B.6, 7.RP.A.2b
Plot and connect the points, label a graph, and then create a short story that could describe the graph.
Lesson Plan
Grades: 6th to 8th, 3rd to 5th
Expression/Equation
The Number System
Geometry
Use properties of operations to generate equivalent expressions.
Apply and extend previous understandings of arithmetic to algebraic expressions.
Apply and extend previous understandings of numbers to the system of rational numbers.
Graph points on the coordinate plane to solve real-world and mathematical problems.
5.G.A.1, 5.G.A.2, 6.NS.C.6b, 6.NS.C.6c, 6.NS.C.8, 6.EE.A.3, 7.EE.A.2
Relate linear equations and graphs in a game of ships and attacks.
Lesson Plan
Ratio & Proportion
Functions
Expression/Equation
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Use functions to model relationships between quantities.
Understand the connections between proportional relationships, lines, and linear equations.
8.EE.B.5, 8.F.B.4, 7.RP.A.2b, 7.RP.A.2d
Extend the Fibonacci Sequence through an algebra exploration.
Lesson Plan
Grades: 6th to 8th, 9th to 12th
Ratio & Proportion
Functions
Stats & Probability
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Interpreting Functions
Investigate patterns of association in bivariate data.
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.1, 8.SP.A.1, HSF-IF.A.3, 7.RP.A.2a
Spend time on Paper Pool to learn the rules, play, and collect data.
Stats & Probability
Develop understanding of statistical variability.
Summarize and describe distributions.
6.SP.B.5b, 6.SP.A.1

Play a number and operations card game, and attempt to identify a winning strategy.

Lesson Plan
Grades: 3rd to 5th, 6th to 8th
Num & Ops Fractions
The Number System
Num & Ops Base Ten
Geometry
Algebraic Thinking
Expression/Equation
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Compute fluently with multi-digit numbers and find common factors and multiples.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Reason with shapes and their attributes.
Develop understanding of fractions as numbers.
Multiply and divide within 100.
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
7.NS.A.3, 7.EE.B.3, 4.NF.B.3a, 4.NF.B.4b, 4.NF.B.4c, 5.NBT.B.7, 6.NS.A.1, 3.OA.C.7, 3.NBT.A.2, 3.NF.A.1, 3.NF.A.3c, 3.G.A.2, 4.NBT.B.4, 4.NBT.B.5, 4.NF.B.4a, 6.NS.B.3, 7.NS.A.1b, 7.NS.A.1d, 5.NF.B.4a, 5.NF.B.4b, 7.NS.A.2a, 5.NF.B.3, 7.NS.A.2c, 5.NF.B.6
Make predictions and conduct experiment to determine how many pebbles the crow would need to add to the pitcher in order to bring the water to drinking height.
Lesson Plan
Ratio & Proportion
Expression/Equation
Stats & Probability
Functions
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Represent and analyze quantitative relationships between dependent and independent variables.
Reason about and solve one-variable equations and inequalities.
Investigate patterns of association in bivariate data.
Use functions to model relationships between quantities.
Understand the connections between proportional relationships, lines, and linear equations.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
7.EE.B.4a, 8.EE.B.6, 8.F.B.4, 8.SP.A.2, 8.SP.A.3, 6.EE.B.6, 6.EE.C.9, 7.RP.A.2b, 7.RP.A.2c
Integrate finding probability and strategic play in the Calculation Nation® game, Prime Time.
Lesson Plan
Stats & Probability
Investigate chance processes and develop, use, and evaluate probability models.
7.SP.C.5, 7.SP.C.6, 7.SP.C.7b
Play card and computer games by adding fractions to make 1.
Lesson Plan
Expression/Equation
The Number System
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
7.NS.A.1b, 7.NS.A.1c, 7.NS.A.1d, 7.NS.A.3, 7.EE.B.3
Explore several different representations for fractions.
Web Interactive
Grades: 6th to 8th, 3rd to 5th
The Number System
Num & Ops Fractions
Geometry
Expression/Equation
Ratio & Proportion
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Reason with shapes and their attributes.
Develop understanding of fractions as numbers.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Apply and extend previous understandings of numbers to the system of rational numbers.
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.3c, 6.NS.C.6c, 7.EE.B.3, 3.NF.A.1, 3.NF.A.2a, 3.NF.A.2b, 3.NF.A.3c, 3.G.A.2, 4.NF.B.4a, 5.NF.B.3, 7.NS.A.2d
Explore relationships among the weights of various objects by placing them on either side of a balance.
Web Interactive
Grades: 3rd to 5th, 6th to 8th
Expression/Equation
Apply and extend previous understandings of arithmetic to algebraic expressions.
6.EE.A.3
Investigate the concept of equivalence by "weighing" numeric and algebraic expressions.
Web Interactive
Grades: 9th to 12th, 6th to 8th, 3rd to 5th, High School
Algebra
Expression/Equation
Algebraic Thinking
Functions
Reasoning with Equations and Inequalities
Analyze and solve linear equations and pairs of simultaneous linear equations.
Reason about and solve one-variable equations and inequalities.
Represent and solve problems involving multiplication and division.
Building Functions
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
6.EE.B.7, 7.EE.B.4a, HSA-REI.A.1, HSF-BF.B.4a, 3.OA.A.4, 6.EE.B.5, 8.EE.C.7a, 8.EE.C.7b, HSA-REI.B.3
Explore volume using virtual and origami boxes.
Lesson Plan
Geometry
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Solve real-world and mathematical problems involving area, surface area, and volume.
6.G.A.2, 8.G.C.9

Become proficient with numbers and operations by guiding Okta the octopus through a mathematical maze.

Web Interactive
Grades: 3rd to 5th, 6th to 8th, PreK to 2nd, Pre K to 2nd
Num & Ops Fractions
The Number System
Num & Ops Base Ten
Expression/Equation
Algebraic Thinking
Number & Operations
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Use equivalent fractions as a strategy to add and subtract fractions.
Compute fluently with multi-digit numbers and find common factors and multiples.
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Multiply and divide within 100.
Use place value understanding and properties of operations to add and subtract.
Understand and apply properties of operations and the relationship between addition and subtraction.
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
K.OA.A.5, 1.OA.B.4, 1.OA.C.6, 1.NBT.C.4, 2.OA.B.2, 2.NBT.B.5, 2.NBT.B.6, 2.NBT.B.7, 2.NBT.B.9, 3.OA.C.7, 3.NBT.A.2, 4.NBT.B.4, 4.NBT.B.5, 5.NF.B.4a, 5.NF.B.4b, 7.NS.A.3, 7.EE.B.3, 4.NBT.B.6, 4.NF.B.3a, 4.NF.B.3d, 5.NBT.B.7, 6.NS.A.1, 6.NS.B.3, 7.NS.A.2a, 5.NF.A.1, 7.NS.A.2c, 5.NF.B.6
Exercise your factoring ability against a human or the computer. Also available on Calculation Nation™ as Factor Dazzle.
Web Interactive
Grades: 6th to 8th, 3rd to 5th
The Number System
Algebraic Thinking
Compute fluently with multi-digit numbers and find common factors and multiples.
Gain familiarity with factors and multiples.
4.OA.B.4, 6.NS.B.4
Learn how to estimate the size of a total population by taking samples and using proportions.
Lesson Plan
Grades: 6th to 8th, Pre K to 2nd
Stats & Probability
Ratio & Proportion
Measurement & Data
Use random sampling to draw inferences about a population.
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Understand ratio concepts and use ratio reasoning to solve problems.
Represent and interpret data.
1.MD.C.4, 6.RP.A.3a, 7.RP.A.3, 7.SP.A.1, 7.SP.A.2

Use geoboards to construct non-traditional, "tilted" squares whose side lengths are irrational numbers.

Lesson Plan
Expression/Equation
The Number System
Work with radicals and integer exponents.
Know that there are numbers that are not rational, and approximate them by rational numbers.
8.NS.A.1, 8.NS.A.2, 8.EE.A.2
Build a high-profit yielding hotel using snap cubes.
Lesson Plan
Grades: 6th to 8th, 3rd to 5th
Expression/Equation
The Number System
Ratio & Proportion
Measurement & Data
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Understand ratio concepts and use ratio reasoning to solve problems.
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
3.MD.C.6, 6.RP.A.3c, 7.NS.A.3, 7.EE.B.3
Plot a set of data and determine a line of best fit.
Web Interactive
Grades: High School, 6th to 8th, 9th to 12th
Stats & Probability
Interpreting Categorical and Quantitative Data
Investigate patterns of association in bivariate data.
8.SP.A.1, 8.SP.A.2, 8.SP.A.3, HSS-ID.B.6a, HSS-ID.B.6b, HSS-ID.B.6c, HSS-ID.C.7, HSS-ID.C.8
Use the formula for the volume of a cylinder and convert it into the same volume for rectangular prisms while trying to minimize the surface area.
Lesson Plan