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
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
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, HSF-IF.B.6, 7.RP.A.2b
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
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
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
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
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
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
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
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 concept of equivalence by "weighing" numeric and algebraic expressions.
Web Interactive
Grades: 9th to 12th, 6th to 8th, 3rd to 5th, High School
Algebra
Expression/Equation
Algebraic Thinking
Functions
Reasoning with Equations and Inequalities
Analyze and solve linear equations and pairs of simultaneous linear equations.
Reason about and solve one-variable equations and inequalities.
Represent and solve problems involving multiplication and division.
Building Functions
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
6.EE.B.7, 7.EE.B.4a, HSA-REI.A.1, HSF-BF.B.4a, 3.OA.A.4, 6.EE.B.5, 8.EE.C.7a, 8.EE.C.7b, HSA-REI.B.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
Manipulate and fold three paper circles to explore four circle theorems.
Lesson Plan
Grades: 9th to 12th
Geometry
Circles
HSG-C.A.2
Plot a set of data and determine a line of best fit.
Web Interactive
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.6b, HSS-ID.B.6c, HSS-ID.C.7, HSS-ID.C.8
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 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
Use research on the Amazon deforestation to determine whether it is occurring exponentially.
Lesson Plan
Grades: 9th to 12th
Stats & Probability
Interpreting Categorical and Quantitative Data
HSS-ID.B.6a, HSS-ID.B.6c, HSS-ID.C.7
Equations to solve in your
head:
Is this a joke? Not if you can
multiply the first equation by 6,751 and the second by 3,249 in your head, and
not if you use a second, simpler method.
Problems
Grades: 9th to 12th, 6th to 8th
Algebra
Expression/Equation
Reasoning with Equations and Inequalities
Analyze and solve linear equations and pairs of simultaneous linear equations.
8.EE.C.8b, HSA-REI.C.6, HSA-REI.C.5
A
regular octagon is inscribed inside a square. Another square is inscribed inside
the octagon. What is the ratio of the area of the smaller square to the area of
the larger square?
Problems
Grades: 9th to 12th, 3rd to 5th, 6th to 8th
Geometry
Measurement & Data
Ratio & Proportion
Circles
Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.
Geometric measurement: understand concepts of area and relate area to multiplication and to addition.
Understand ratio concepts and use ratio reasoning to solve problems.
6.RP.A.1, 3.MD.C.7b, 4.MD.A.3, HSG-C.A.3