Become proficient with numbers and operations by guiding Okta the octopus through a mathematical maze.
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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
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
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
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
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 a clinometer (a measuring device built from a protractor) and isosceles right triangles to find the height of a building.
Lesson Plan
Grades: 6th to 8th
Stats & Probability
Develop understanding of statistical variability.
Summarize and describe distributions.
6.SP.A.3, 6.SP.B.5c, 6.SP.B.5d, 6.SP.A.1
Use beans to physically represent quotients that have remainders, and compare remainders written as fractions of whole groups to the results obtained with a calculator.
Lesson Plan
Grades: 6th to 8th
The Number System
Expression/Equation
Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
Know that there are numbers that are not rational, and approximate them by rational numbers.
Compute fluently with multi-digit numbers and find common factors and multiples.
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
7.EE.B.3, 6.NS.B.2, 8.NS.A.1, 7.NS.A.2d
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 proportions and similar figures to adjust the size of the New York City Subway Map so that it is drawn to scale.
Lesson Plan
Grades: 9th to 12th, 6th to 8th, High School
Geometry
Number & Quantity
Ratio & Proportion
Similarity, Right Triangles, and Trigonometry
Congruence
Understand congruence and similarity using physical models, transparencies, or geometry software.
Quantities
Draw construct, and describe geometrical figures and describe the relationships between them.
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.1, 6.RP.A.3a, 7.G.A.1, HSN-Q.A.3, 8.G.A.1a, 8.G.A.1b, 8.G.A.1c, 8.G.A.5, HSG-CO.A.1, HSG-SRT.A.2, HSG-SRT.A.3, HSG-SRT.B.4, HSG-SRT.B.5
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
Play card and computer games by adding fractions to make 1.
Lesson Plan
Grades: 6th to 8th
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
Construct a scale drawing of a regulation dartboard using geometry and measurement.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.1
Learn the definition of like terms and gain practice in identifying key features to sort and combine them.
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.
6.EE.A.2b, 6.EE.A.3, 6.EE.A.4, 6.EE.B.6, 7.EE.A.1
Develop an understanding of the Fibonacci Sequence, Golden Ratio, Golden Rectangle, and the term ratio.
Lesson Plan
Grades: 9th to 12th, 6th to 8th
Geometry
Functions
Number & Quantity
Ratio & Proportion
Congruence
Interpreting Functions
Quantities
Draw construct, and describe geometrical figures and describe the relationships between them.
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.1, 7.G.A.2, HSN-Q.A.3, HSF-IF.A.3, HSG-CO.D.12
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
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
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
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 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