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
Become proficient with numbers and operations by guiding Okta the octopus through a mathematical maze.
This interactive is also a mobile app. Download it on iTunes or Google Play.
Web Interactive
Grades: 3rd to 5th, 6th to 8th, PreK to 2nd, Pre K to 2nd
Num & Ops Fractions
The Number System
Expression/Equation
Num & Ops Base Ten
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.
Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Compute fluently with multi-digit numbers and find common factors and multiples.
Perform operations with multi-digit whole numbers and with decimals to hundredths.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Multiply and divide within 100.
Use place value understanding and properties of operations to add and subtract.
Add and subtract within 20.
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, 4.NBT.B.6, 5.NBT.B.7, 6.NS.B.3, 5.NF.B.4a, 5.NF.B.4b, 7.NS.A.3, 7.EE.B.3, 4.NF.B.3a, 4.NF.B.3d, 6.NS.A.1, 5.NF.A.1, 7.NS.A.2a, 7.NS.A.2c, 5.NF.B.6
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, High School, 3rd to 5th
Algebra
Expression/Equation
Functions
Algebraic Thinking
Reasoning with Equations and Inequalities
Analyze and solve linear equations and pairs of simultaneous linear equations.
Building Functions
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Reason about and solve one-variable equations and inequalities.
Represent and solve problems involving multiplication and division.
3.OA.A.4, 6.EE.B.5, 6.EE.B.7, HSA-REI.A.1, 7.EE.B.4a, HSF-BF.B.4a, 8.EE.C.7a, 8.EE.C.7b, HSA-REI.B.3
The interactive Paper Pool game provides an opportunity for students to
develop their understanding of ratio, proportion, greatest common factor
and least common multiple.
In this investigation, students are asked to play a game called Paper
Pool. The game is played on rectangular grids made of congruent
squares.
The Paper Pool unit was adapted with
permission and guidance from the Connected Mathematics Project.
Math Content
Students will:
- Develop their understanding of ratios, proportions, and equivalent fractions.
- Find the greatest common factor and the least common multiple.
- Investigate similar figures.
- Gather and organize data.
- Search for patterns.
Lesson Plan
Grades: 6th to 8th, 3rd to 5th
Stats & Probability
Algebraic Thinking
Summarize and describe distributions.
Generate and analyze patterns.
4.OA.C.5, 6.SP.B.5b
Draw, color, paste, slice, rotate, reflect, expand, and contract various shapes.
Grades: PreK to 2nd, 6th to 8th, 3rd to 5th, Pre K to 2nd
Geometry
Draw construct, and describe geometrical figures and describe the relationships between them.
Reason with shapes and their attributes.
Analyze, compare, create, and compose shapes.
K.G.B.4, K.G.B.5, K.G.B.6, 1.G.A.1, 1.G.A.2, 2.G.A.1, 7.G.A.2
Create a custom spinner to examine experimental and theoretical outcomes.
Web Interactive
Grades: PreK to 2nd, High School, 6th to 8th, 3rd to 5th, 9th to 12th
Stats & Probability
Making Inferences and Justifying Conclusions
Investigate chance processes and develop, use, and evaluate probability models.
7.SP.C.5, 7.SP.C.6, 7.SP.C.7b, 7.SP.C.8c, HSS-IC.A.2
Explore several different representations for fractions.
Web Interactive
Grades: 6th to 8th, 3rd to 5th
The Number System
Num & Ops Fractions
Expression/Equation
Ratio & Proportion
Geometry
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.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Understand ratio concepts and use ratio reasoning to solve problems.
Apply and extend previous understandings of numbers to the system of rational numbers.
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.
3.NF.A.1, 3.NF.A.2a, 3.NF.A.2b, 3.NF.A.3c, 3.G.A.2, 4.NF.B.4a, 6.NS.C.6c, 6.RP.A.3c, 7.EE.B.3, 5.NF.B.3, 7.NS.A.2d
Explore relationships among fractions while playing an interactive game.
Web Interactive
Grades: 3rd to 5th, 6th to 8th
Num & Ops Fractions
Expression/Equation
The Number System
Geometry
Use equivalent fractions as a strategy to add and subtract fractions.
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.
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.
Apply and extend previous understandings of numbers to the system of rational numbers.
Extend understanding of fraction equivalence and ordering.
Reason with shapes and their attributes.
Develop understanding of fractions as numbers.
3.NF.A.1, 3.NF.A.2a, 3.NF.A.2b, 3.NF.A.3a, 3.NF.A.3b, 3.NF.A.3c, 3.G.A.2, 4.NF.A.1, 4.NF.B.4a, 6.NS.C.6c, 7.NS.A.3, 7.NS.A.1b, 7.NS.A.1d, 7.EE.B.3, 4.NF.B.3a, 4.NF.B.3d, 5.NF.B.3, 5.NF.A.1
Examine various two-dimensional figures to determine which ones can be folded into a cube.
Web Interactive
Grades: 6th to 8th, 3rd to 5th
Geometry
Solve real-world and mathematical problems involving area, surface area, and volume.
6.G.A.4
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
Create dynamic drawings on an isometric dot grid.
Web Interactive
Grades: High School, 6th to 8th, 3rd to 5th
Geometry
Draw construct, and describe geometrical figures and describe the relationships between them.
7.G.A.2
Use class schedules to create time-distance graphs.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Expression/Equation
Functions
Stats & Probability
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Understand the connections between proportional relationships, lines, and linear equations.
Use functions to model relationships between quantities.
Summarize and describe distributions.
6.SP.B.5b, 8.F.B.4, 8.F.B.5, 8.EE.B.5, 8.EE.B.6, 7.RP.A.2b, 7.RP.A.2d
Use manipulative blocks and counters to explore equations such as 3x = 2x + 12.
Lesson Plan
Grades: 6th to 8th
Expression/Equation
Use properties of operations to generate equivalent expressions.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
Reason about and solve one-variable equations and inequalities.
Apply and extend previous understandings of arithmetic to algebraic expressions.
6.EE.A.3, 6.EE.B.5, 6.EE.B.6, 7.EE.B.4a, 8.EE.C.7a, 8.EE.C.7b, 7.EE.A.1, 7.EE.A.2
Determine the relationships between radius, diameter, circumference and area of a circle by using a MIRA tool.
Lesson Plan
Grades: 6th to 8th
Geometry
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Draw construct, and describe geometrical figures and describe the relationships between them.
7.G.A.2, 7.G.B.4
Play the role of researchers who field test the Alexander Formula—a formula that uses paleontology data to estimate dinosaur running velocities.
Lesson Plan
Grades: 6th to 8th, 3rd to 5th
Ratio & Proportion
Stats & Probability
Functions
Expression/Equation
Measurement & Data
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Investigate patterns of association in bivariate data.
Use functions to model relationships between quantities.
Summarize and describe distributions.
Represent and analyze quantitative relationships between dependent and independent variables.
Reason about and solve one-variable equations and inequalities.
Represent and interpret data.
3.MD.B.4, 6.EE.B.6, 6.EE.C.9, 6.SP.B.5b, 8.F.B.4, 8.SP.A.1, 8.SP.A.2, 8.SP.A.3, 7.RP.A.2c
Use volume and unit rates to determine best values for hay bales.
Lesson Plan
Grades: 6th to 8th
Expression/Equation
The Number System
Geometry
Ratio & Proportion
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.
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Understand ratio concepts and use ratio reasoning to solve problems.
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Solve real-world and mathematical problems involving area, surface area, and volume.
6.G.A.2, 7.RP.A.1, 6.RP.A.1, 6.RP.A.2, 6.RP.A.3b, 6.RP.A.3c, 8.G.C.9, 7.NS.A.3, 7.EE.B.3
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
Understand the connections between proportional relationships, lines, and linear equations.
Use functions to model relationships between quantities.
8.F.B.4, 8.EE.B.6, HSF-IF.B.6, 7.RP.A.2b
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
Construct the 12 pentomino figures, and utilize them to explore area and perimeter.
Lesson Plan
Grades: PreK to 2nd, 6th to 8th, 3rd to 5th, Pre K to 2nd
Geometry
Measurement & Data
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
Draw construct, and describe geometrical figures and describe the relationships between them.
Classify two-dimensional figures into categories based on their properties.
Geometric measurement: recognize perimeter as an attribute of plane figures and distinguish between linear and area measures.
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
Reason with shapes and their attributes.
Analyze, compare, create, and compose shapes.
Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
K.G.A.2, K.G.B.4, K.G.B.5, K.G.B.6, 1.G.A.1, 1.G.A.2, 2.G.A.1, 3.MD.C.6, 3.MD.C.5a, 3.MD.C.5b, 3.MD.C.7d, 3.MD.D.8, 5.G.B.4, 7.G.A.2, 7.G.B.6