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
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
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
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
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
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
Integrate finding probability and strategic play in the Calculation Nation^{® }game, Prime Time.
Lesson Plan
Grades: 6th to 8th
Stats & Probability
Investigate chance processes and develop, use, and evaluate probability models.
7.SP.C.5, 7.SP.C.6, 7.SP.C.7b
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
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
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
Predict, estimate and then calculate the path that results in the fastest time to travel between two points when different terrains affect the fastest path.
Lesson Plan
Grades: 6th to 8th
Geometry
Ratio & Proportion
Understand and apply the Pythagorean Theorem.
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.2, 6.RP.A.3b, 6.G.A.3, 7.RP.A.1, 8.G.B.8
Explore the concept of slope through a student-centered problem of data collection and evaluation.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Functions
Expression/Equation
Geometry
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.
Draw construct, and describe geometrical figures and describe the relationships between them.
7.G.A.1, 8.EE.B.6, 8.F.B.4, 7.RP.A.2b
Construct the 12 pentomino figures, and utilize them to explore area and perimeter.
Lesson Plan
Grades: 3rd to 5th, 6th to 8th, PreK to 2nd, Pre K to 2nd
Measurement & Data
Geometry
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
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.
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.5a, 3.MD.C.5b, 3.MD.C.6, 3.MD.D.8, 5.G.B.4, 7.G.A.2, 7.G.B.6, 3.MD.C.7d
Relate linear equations and graphs in a game of ships and attacks.
Lesson Plan
Grades: 6th to 8th
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