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
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
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
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
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 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
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 class schedules to create time-distance graphs.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Stats & Probability
Functions
Expression/Equation
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Summarize and describe distributions.
Use functions to model relationships between quantities.
Understand the connections between proportional relationships, lines, and linear equations.
8.EE.B.5, 8.EE.B.6, 8.F.B.4, 8.F.B.5, 6.SP.B.5b, 7.RP.A.2b, 7.RP.A.2d
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
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
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
Use ratios, unit rates, and proportions to solve a fictitious bank robbery.
Lesson Plan
Grades: 6th to 8th
Expression/Equation
The Number System
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.
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.1, 6.RP.A.2, 6.RP.A.3a, 6.RP.A.3b, 7.RP.A.1, 7.RP.A.3, 7.NS.A.3, 7.EE.B.3
Estimate and use decomposition to find the areas of highly irregular shapes.
Grades: 6th to 8th
Geometry
Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
7.G.B.6
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
Build a high-profit yielding hotel using snap cubes.
Lesson Plan
Grades: 6th to 8th, 3rd to 5th
Expression/Equation
The Number System
Ratio & Proportion
Measurement & Data
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.
Understand ratio concepts and use ratio reasoning to solve problems.
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
3.MD.C.6, 6.RP.A.3c, 7.NS.A.3, 7.EE.B.3
Create aluminum foil boats and then test them by filling them with plastic bears until they sink. The data is collected and used to make two class box-and-whisker plots with some surprising results.
Lesson Plan
Grades: 6th to 8th, 3rd to 5th
Stats & Probability
Draw informal comparative inferences about two populations.
Summarize and describe distributions.
Develop understanding of statistical variability.
Investigate patterns of association in bivariate data.
6.SP.A.3, 6.SP.B.4, 6.SP.B.5c, 8.SP.A.1, 6.SP.A.1, 6.SP.A.2, 6.SP.B.5a, 7.SP.B.3, 7.SP.B.4
Build three-dimensional figures and find the surface area and volume of each figure.
Grades: 6th to 8th
Geometry
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
Draw construct, and describe geometrical figures and describe the relationships between them.
Solve real-world and mathematical problems involving area, surface area, and volume.
6.G.A.2, 6.G.A.4, 7.G.A.2, 8.G.C.9
Ratios of electoral votes to area are used to make generalizations about the population distribution of the United States.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.1
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
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