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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
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
Explore the concept of genetics and inheritance using probability.
Lesson Plan
Grades: 9th to 12th, 6th to 8th
Stats & Probability
Making Inferences and Justifying Conclusions
Investigate patterns of association in bivariate data.
Investigate chance processes and develop, use, and evaluate probability models.
Summarize and describe distributions.
6.SP.B.5b, 7.SP.C.6, 7.SP.C.7a, 7.SP.C.7b, 8.SP.A.1, HSS-IC.A.2
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
Model linear functions using Barbie dolls and rubber bands.
Lesson Plan
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.6c, HSS-ID.C.7
Find the coefficients for Pick’s Theorem.
Lesson Plan
Grades: 9th to 12th
Geometry
Algebra
Congruence
Reasoning with Equations and Inequalities
HSA-REI.C.6, HSG-CO.D.12
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.
Reason about and solve one-variable equations and inequalities.
Apply and extend previous understandings of arithmetic to algebraic 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.
7.EE.B.4a, 6.EE.B.5, 8.EE.C.7a, 8.EE.C.7b, 6.EE.A.3, 6.EE.B.6, 7.EE.A.1, 7.EE.A.2
Enlighten students about how to calculate percent of calories from fat, carbohydrates, and protein.
Lesson Plan
Grades: 6th to 8th
The Number System
Ratio & Proportion
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.
6.RP.A.3c, 7.NS.A.3
Learn a fun and impressive trick while simultaneously practicing and mastering the all-important combinations of ten.
Lesson Plan
Grades: Pre K to 2nd
Number & Operations
Algebraic Thinking
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.
Work with numbers 11-19 to gain foundations for place value.
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
K.OA.A.3, K.OA.A.4, K.OA.A.5, K.NBT.A.1, 1.OA.B.4, 1.OA.C.6, 2.OA.B.2, 2.NBT.B.5, 2.NBT.B.6, 2.NBT.B.7, 2.NBT.B.9
Use the book, A Remainder of One by Elinor J. Pinczes, to introduce division with remainders.
Lesson Plan
Grades: PreK to 2nd, 3rd to 5th, Pre K to 2nd
Algebraic Thinking
Number & Operations
Gain familiarity with factors and multiples.
Use the four operations with whole numbers to solve problems.
Solve problems involving the four operations, and identify and explain patterns in arithmetic.
Multiply and divide within 100.
Represent and solve problems involving multiplication and division.
Use place value understanding and properties of operations to add and subtract.
1.NBT.C, 3.OA.A.2, 3.OA.A.3, 3.OA.C.7, 3.OA.D.8, 4.OA.A.2, 4.OA.A.3, 4.OA.B.4
Relate functions, tables, and graphs to roller coaster drops.
Lesson Plan
Grades: 6th to 8th
Expression/Equation
Functions
Use properties of operations to generate equivalent expressions.
Apply and extend previous understandings of arithmetic to algebraic expressions.
Define, evaluate, and compare functions.
6.EE.A.2c, 8.F.A.1, 6.EE.A.3, 7.EE.A.2
Use models to practice regrouping and to reinforce place value understanding.
Lesson Plan
Grades: 3rd to 5th, Pre K to 2nd
Num & Ops Base Ten
Number & Operations
Algebraic Thinking
Understand the place value system.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Generalize place value understanding for multi-digit whole numbers.
Use place value understanding and properties of operations to add and subtract.
Understand place value.
Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.
K.OA.A.1, K.OA.A.2, 1.NBT.B.2a, 1.NBT.B.2b, 1.NBT.B.2c, 1.NBT.C.4, 2.NBT.A.1a, 2.NBT.B.5, 2.NBT.B.6, 2.NBT.B.7, 3.NBT.A.2, 4.NBT.A.1, 4.NBT.B.4, 5.NBT.A.1
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
Use research on the Amazon deforestation to determine whether it is occurring exponentially.
Lesson Plan
Grades: 9th to 12th
Stats & Probability
Interpreting Categorical and Quantitative Data
HSS-ID.B.6a, HSS-ID.B.6c, HSS-ID.C.7
Enforce the skills of identifying equivalent trigonometric expressions using puzzles.
Lesson Plan
Grades: High School, 9th to 12th
Geometry
Functions
Similarity, Right Triangles, and Trigonometry
Trigonometric Functions
HSF-TF.A.3, HSG-SRT.C.6, HSG-SRT.C.7, HSG-SRT.C.8, HSG-SRT.D.10, HSG-SRT.D.11
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
Use volume and unit rates to determine best values for hay bales.
Lesson Plan
Grades: 6th to 8th
Geometry
Expression/Equation
The Number System
Ratio & Proportion
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
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.
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.
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.1, 6.RP.A.2, 6.RP.A.3b, 6.RP.A.3c, 6.G.A.2, 7.RP.A.1, 7.NS.A.3, 7.EE.B.3, 8.G.C.9
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