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 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
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
Expression/Equation
Algebra
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Interpreting Categorical and Quantitative Data
Linear, Quadratic, and Exponential Models
Interpreting Functions
Understand the connections between proportional relationships, lines, and linear equations.
Creating Equations
Investigate patterns of association in bivariate data.
Use functions to model relationships between quantities.
Summarize and describe distributions.
6.SP.B.5b, 8.F.B.4, 8.SP.A.2, 8.SP.A.3, HSA-CED.A.2, 8.EE.B.6, HSF-IF.B.4, HSF-LE.A.2, HSF-LE.A.1a, HSS-ID.B.6a, HSS-ID.B.6c, HSS-ID.C.7, 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
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
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
Investigate the properties of regression lines and correlation using an online interactive tool.
Lesson Plan
Grades: High School, 9th to 12th
Stats & Probability
Interpreting Categorical and Quantitative Data
HSS-ID.B.6a, HSS-ID.B.6b, HSS-ID.B.6c, HSS-ID.C.7, HSS-ID.C.8
Soda cans are often packaged in rectangular arrays, but more efficient
arrangements that require less packaging material are possible. In this
lesson, students investigate various designs for packaging soda cans and
use geometry to analyze their designs.
Grades: 9th to 12th
Geometry
Geometric Measurement and Dimension
Circles
HSG-C.B.5, HSG-GMD.B.4
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
Expression/Equation
Algebra
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Interpreting Categorical and Quantitative Data
Linear, Quadratic, and Exponential Models
Interpreting Functions
Understand the connections between proportional relationships, lines, and linear equations.
Creating Equations
Investigate patterns of association in bivariate data.
Use functions to model relationships between quantities.
Summarize and describe distributions.
6.SP.B.5b, 8.F.B.4, 8.SP.A.2, 8.SP.A.3, HSA-CED.A.2, 8.EE.B.6, HSF-IF.B.4, HSF-LE.A.2, HSF-LE.A.1a, HSS-ID.B.6a, HSS-ID.B.6c, HSS-ID.C.7, 7.RP.A.2b
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
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
Offers a method for finding the slope of a line from its graph.
Lesson Plan
Grades: 6th to 8th, High School, 9th to 12th
Ratio & Proportion
Functions
Expression/Equation
Analyze proportional relationships and use them to solve real-world and mathematical problems.
Interpreting Functions
Understand the connections between proportional relationships, lines, and linear equations.
Use functions to model relationships between quantities.
8.F.B.4, 8.EE.B.6, HSF-IF.B.6, 7.RP.A.2b
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
How much should the manager of a theater raise his prices in order to maximize his profit?
Problems
Grades: High School, 9th to 12th
Functions
Building Functions
Interpreting Functions
HSF-IF.B.4, HSF-IF.B.5, HSF-IF.C.7, HSF-BF.A.1
A Ninja apprentice needs your help to use the density of titanium to calculate the angle of the spike on his throwing star!
Problems
Grades: High School, 9th to 12th
Geometry
Circles
Similarity, Right Triangles, and Trigonometry
HSG-SRT.D, HSG-C.B
How far does the water level of the lake drop?
Problems
Grades: High School, 9th to 12th
Geometry
Geometric Measurement and Dimension
HSG-GMD.A.3
Find two transformations that will move one triangle onto the other.
Problems
Grades: High School, 9th to 12th
Geometry
Congruence
HSG-CO.A.5
Determine how many innings a pitcher has thrown as his Earned Run Average changes during a game.
Problems
Grades: High School, 9th to 12th
Algebra
Creating Equations
HSA-CED.A.1, HSA-CED.A.2