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
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
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
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 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
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
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
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
Use the formula for the volume of a cylinder and convert it into the same volume for rectangular prisms while trying to minimize the surface area.
Lesson Plan
Grades: 6th to 8th
Geometry
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
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
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
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
Participate in a modeling activity where they will learn the rules for translations, rotations, and reflections.
Lesson Plan
Grades: 9th to 12th, 6th to 8th
Geometry
Congruence
Understand congruence and similarity using physical models, transparencies, or geometry software.
8.G.A.3, HSG-CO.A.2, HSG-CO.A.4, HSG-CO.A.5, HSG-CO.B.6
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
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
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
Measure the length and width of a rectangle using both standard and non-standard units of measure.Then, discover that the ratio of length to width of a rectangle is constant.
Lesson Plan
Grades: 6th to 8th
Ratio & Proportion
Stats & Probability
Analyze proportional relationships and use them to solve real-world and mathematical problems.
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, 8.SP.A.2, 7.RP.A.2a
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
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
Learn about the mechanics of the Electoral College, and use data on population and electoral votes for each state.
Lesson Plan
Grades: 6th to 8th
Stats & Probability
Summarize and describe distributions.
Develop understanding of statistical variability.
6.SP.A.3, 6.SP.B.5c