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
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
Transform images through rotation, reflection, dilation, and translation using matrix multiplication.
Lesson Plan
Grades: 9th to 12th, High School
Geometry
Similarity, Right Triangles, and Trigonometry
Congruence
HSG-CO.A.2, HSG-CO.A.4, HSG-CO.A.5, HSG-CO.B.6, HSG-CO.B.7, HSG-CO.A.1, HSG-SRT.A.1a, HSG-SRT.A.1b
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
Manipulate and fold three paper circles to explore four circle theorems.
Lesson Plan
Grades: 9th to 12th
Geometry
Circles
HSG-C.A.2
Use problem-solving skills to find the solution to a multi-variable problem that is solved by manipulating linear 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
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
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
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
Discover the pattern of Pick’s Theorem using physical or virtual manipulatives.
Lesson Plan
Grades: 9th to 12th
Geometry
Congruence
HSG-CO.D.12
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
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
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
Collect information about the national debt, plot the data by decade, and determine whether an exponential curve is a good fit for the data.
Lesson Plan
Grades: High School, 9th to 12th
Stats & Probability
Interpreting Categorical and Quantitative Data
HSS-ID.B.6a
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 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 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
Examine and draw representations of cubes and then learn how to analyze these representations using complex numbers.
Lesson Plan
Grades: 9th to 12th
Number & Quantity
The Complex Number System
HSN-CN.A.1, HSN-CN.A.2, HSN-CN.B.5, HSN-CN.B.6
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
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