Construct perpendicular bisectors, find circumcenters, calculate area, and use proportions to solve a real world problem.
Lesson Plan
Grades: High School, 9th to 12th
Geometry
Congruence
HSG-CO.D.12
Answers the questions, "When will I ever need to solve a system of equations?"
Lesson Plan
Grades: High School, 9th to 12th
Algebra
Reasoning with Equations and Inequalities
Creating Equations
HSA-CED.A.3, HSA-REI.C.6
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
Explore the amplitude, period, and phase shift by
examining the graphs of various trigonometric functions.
Grades: 9th to 12th, High School
Functions
Trigonometric Functions
Interpreting Functions
HSF-IF.C.7e, HSF-TF.B.5
Students start with the diagonals and deduce the type of quadrilateral that surrounds them.
Lesson Plan
Grades: 9th to 12th, High School
Geometry
Congruence
HSG-CO.C.11
Create and use linear models to make projections about what impact increased portion sizes may have on weight.
Lesson Plan
Grades: 9th to 12th
Functions
Algebra
Linear, Quadratic, and Exponential Models
Building Functions
Interpreting Functions
Reasoning with Equations and Inequalities
Creating Equations
HSA-CED.A.2, HSA-CED.A.3, HSA-REI.A.1, HSF-IF.C.7a, HSF-BF.A.1a, HSF-LE.A.1a, HSF-LE.A.2, HSF-LE.B.5
Solve puzzles to strengthen understanding of expanding and factoring polynomials.
Lesson Plan
Grades: 9th to 12th, High School
Algebra
Arithmetic with Polynomials and Rational Functions
Seeing Structure in Expressions
HSA-SSE.A.2, HSA-SSE.B.3a, HSA-APR.A.1
Manipulate and fold three paper circles to explore four circle theorems.
Lesson Plan
Grades: 9th to 12th
Geometry
Circles
HSG-C.A.2
Explore an open-ended problem with multiple solutions and multiple entry points.
Lesson Plan
Grades: High School, 9th to 12th
Geometry
Geometric Measurement and Dimension
HSG-GMD.A.3
Use slope to approximate rate of change on a graph.
Lesson Plan
Grades: High School, 9th to 12th
Functions
Number & Quantity
Linear, Quadratic, and Exponential Models
Interpreting Functions
Quantities
HSN-Q.A.3, HSF-IF.B.4, HSF-IF.B.6, HSF-LE.B.5
Discover the pattern of Pick’s Theorem using physical or virtual manipulatives.
Lesson Plan
Grades: 9th to 12th
Geometry
Congruence
HSG-CO.D.12
Use a spreadsheet to investigate rates of change among various figures created on a geoboard.
Lesson Plan
Grades: 9th to 12th
Geometry
Functions
Congruence
Interpreting Functions
HSF-IF.B.6, HSG-CO.D.12
Model exponential decay.
Lesson Plan
Grades: 9th to 12th, High School
Functions
Algebra
Interpreting Functions
Linear, Quadratic, and Exponential Models
Seeing Structure in Expressions
HSA-SSE.B.3c, HSF-IF.B.4, HSF-IF.C.7e, HSF-IF.C.8b, HSF-LE.A.1a, HSF-LE.A.1c, HSF-LE.B.5, HSF-IF.A.1
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
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 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
Use right triangle trigonometry and the Pythagorean theorem to develop the law of cosines.
Grades: 9th to 12th
Geometry
Similarity, Right Triangles, and Trigonometry
HSG-SRT.D.10, HSG-SRT.D.11
In this lesson students use sidewalk chalk and rope to illustrate the locus definitions of ellipses and parabolas. Kinesthetics, teamwork, and problem solving are stressed as students take on the role of focus, directrix, and point on the conic, and figure out how to construct the shape.
Lesson Plan
Grades: 9th to 12th, High School
Geometry
Functions
Expressing Geometric Properties with Equations
Congruence
Interpreting Functions
HSF-IF.B.4, HSF-IF.C.7a, HSG-CO.A.1, HSG-GPE.A.1, HSG-GPE.A.2, HSG-GPE.A.3
Use a motion detector to help students understand graphs and equations.
Lesson Plan
Grades: 6th to 8th, High School, 9th to 12th
Ratio & Proportion
Stats & Probability
Functions
Algebra
Expression/Equation
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Summarize and describe distributions.
Interpreting Categorical and Quantitative Data
Linear, Quadratic, and Exponential Models
Interpreting Functions
Creating Equations
Investigate patterns of association in bivariate data.
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, 8.SP.A.2, 8.SP.A.3, HSA-CED.A.2, HSF-IF.B.4, HSF-LE.A.1a, HSF-LE.A.2, HSS-ID.B.6a, HSS-ID.B.6c, HSS-ID.C.7, 6.SP.B.5b, 7.RP.A.2b
Investigate the patterns when a "plus sign" (a cross-shaped arrangement of five squares) is placed on the board in various locations.
Lesson Plan
Grades: 6th to 8th, High School, 9th to 12th
Expression/Equation
Stats & Probability
Functions
Use properties of operations to generate equivalent expressions.
Summarize and describe distributions.
Develop understanding of statistical variability.
Apply and extend previous understandings of arithmetic to algebraic expressions.
Building Functions
HSF-BF.A.1a, HSF-BF.A.2, 6.EE.A.3, 6.SP.A.3, 6.SP.B.5c, 7.EE.A.2