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
Physical and virtual manipulatives are used to explore and discover conic sections by cutting a cone with a plane.
Lesson Plan
Grades: 9th to 12th, High School
Geometry
Expressing Geometric Properties with Equations
HSG-GPE.A.1, HSG-GPE.A.2, HSG-GPE.A.3
Make the connection between trigonometric rations and graphs of sine and cosine functions.
Lesson Plan
Grades: 9th to 12th, High School
Functions
Geometry
Trigonometric Functions
Similarity, Right Triangles, and Trigonometry
Interpreting Functions
HSF-IF.B.4, HSF-IF.B.5, HSF-IF.C.7e, HSF-TF.A.3, HSG-SRT.C.7, HSF-TF.A.2, HSF-TF.A.4, HSF-TF.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
Enforce the skills of identifying equivalent trigonometric expressions using puzzles.
Lesson Plan
Grades: High School, 9th to 12th
Geometry
Functions
Similarity, Right Triangles, and Trigonometry
Trigonometric Functions
HSF-TF.A.3, HSG-SRT.C.6, HSG-SRT.C.7, HSG-SRT.C.8, HSG-SRT.D.10, HSG-SRT.D.11
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
develop a delicious new drink by mixing various concentrations of a two-fold dilution series.
Lesson Plan
Grades: High School, 9th to 12th
Functions
Linear, Quadratic, and Exponential Models
HSF-LE.A.1c
Discover how to determine the appropriate number of digits that should be reported.
Lesson Plan
Grades: High School, 9th to 12th
Number & Quantity
Quantities
HSN-Q.A.3
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
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
Use needlework to illustrate Euler Graphs.
Lesson Plan
Grades: 9th to 12th, High School
Geometry
Modeling with Geometry
Congruence
HSG-CO.A.1, HSG-MG.A.3
Use humor to aid in the transition from two-column proofs to paragraph-style proofs.
Lesson Plan
Grades: 9th to 12th, High School
Geometry
Congruence
HSG-CO.A.1
Investigate the relationship between sides and angles in a triangle.
Lesson Plan
Grades: High School, 9th to 12th
Geometry
Congruence
HSG-CO.C.10
Form a physical interpretation of slope and y-intercept by running across a football field.
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
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
Use remote-controlled cars to create 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, HSA-REI.D.11
Use right triangle trigonometry to develop the law of sines.
Grades: 9th to 12th
Geometry
Similarity, Right Triangles, and Trigonometry
Congruence
HSG-SRT.C.6, HSG-SRT.C.8, HSG-SRT.D.10, HSG-SRT.D.11, HSG-CO.A.1, HSG-CO.B.8, HSG-SRT.B.5
Apply knowledge of linear equations and graphs in an authentic situation.
Lesson Plan
Grades: High School, 9th to 12th
Stats & Probability
Functions
Algebra
Interpreting Categorical and Quantitative Data
Linear, Quadratic, and Exponential Models
Interpreting Functions
Reasoning with Equations and Inequalities
Creating Equations
HSA-CED.A.2, HSA-REI.D.10, HSF-IF.B.4, HSF-IF.C.7a, HSF-LE.A.1a, HSF-LE.B.5, HSS-ID.B.6a, HSS-ID.B.6c, HSS-ID.C.7
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