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
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
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.
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, 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
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
Create a custom spinner to examine experimental and theoretical outcomes.
Web Interactive
Grades: 9th to 12th, High School, 6th to 8th, 3rd to 5th, PreK to 2nd
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
Manipulate various geometric solids and investigate their properties.
Web Interactive
Grades: High School, 6th to 8th, 3rd to 5th, PreK to 2nd, Pre K to 2nd
Geometry
Solve real-world and mathematical problems involving area, surface area, and volume.
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, 6.G.A.4
Draw, color, paste, slice, rotate, reflect, expand, and contract various shapes.
Grades: 6th to 8th, 3rd to 5th, PreK to 2nd, 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
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
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
Explore relationships among fractions while playing an interactive game.
Web Interactive
Grades: 3rd to 5th, 6th to 8th
Num & Ops Fractions
Geometry
Expression/Equation
The Number System
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.
Extend understanding of fraction equivalence and ordering.
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 operations with fractions to add, subtract, multiply, and divide rational numbers.
Apply and extend previous understandings of numbers to the system of rational numbers.
6.NS.C.6c, 7.NS.A.1b, 7.NS.A.1d, 7.NS.A.3, 7.EE.B.3, 4.NF.B.3a, 4.NF.B.3d, 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, 5.NF.B.3, 5.NF.A.1
Create customized activity sheets for your classroom.
Web Interactive
Grades: High School, 6th to 8th, 3rd to 5th, PreK to 2nd, 9th to 12th, Pre K to 2nd
Functions
Geometry
The Number System
Num & Ops Fractions
Measurement & Data
Linear, Quadratic, and Exponential Models
Use functions to model relationships between quantities.
Solve real-world and mathematical problems involving area, surface area, and volume.
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.
Develop understanding of fractions as numbers.
Relate addition and subtraction to length.
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, 2.MD.B.6, 3.NF.A.2a, 3.NF.A.2b, 5.G.A.1, 6.NS.C.6c, 6.NS.C.7a, 6.G.A.4, 8.F.B.5, HSF-LE.A.1b
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
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
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
Grades: 6th to 8th
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
Use unit rates or proportions and think critically about the real world applications of a baking problem.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Analyze proportional relationships and use them to solve real-world and mathematical problems.
7.RP.A.3, 7.RP.A.2a
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
Use polydrons to build nets and create the most appealing fish tank.
Lesson Plan
Grades: 9th to 12th, High School, 6th to 8th
Geometry
Congruence
Geometric Measurement and Dimension
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, 6.G.A.4, 8.G.C.9, HSG-GMD.A.3, HSG-CO.A.1
See first hand the sheer size of 1 million while introducing sampling and its use in mathematics.
Lesson Plan
Grades: 6th to 8th
Stats & Probability
Ratio & Proportion
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.
6.RP.A.3a, 7.RP.A.3, 7.SP.A.1, 7.SP.A.2
Emma, a new employee at a box factory, is supposed to make cube‑shaped jewelry boxes. Help Emma determine how many different nets are possible and analyze the resulting cubes.
Lesson Plan
Grades: 6th to 8th
Geometry
Solve real-world and mathematical problems involving area, surface area, and volume.
6.G.A.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