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
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
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
Create customized activity sheets for your classroom.
Web Interactive
Grades: High School, 6th to 8th, 3rd to 5th, PreK to 2nd, 9th to 12th, Pre K to 2nd
Functions
Geometry
The Number System
Num & Ops Fractions
Measurement & Data
Linear, Quadratic, and Exponential Models
Use functions to model relationships between quantities.
Solve real-world and mathematical problems involving area, surface area, and volume.
Apply and extend previous understandings of numbers to the system of rational numbers.
Graph points on the coordinate plane to solve real-world and mathematical problems.
Develop understanding of fractions as numbers.
Relate addition and subtraction to length.
Analyze, compare, create, and compose shapes.
Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
K.G.A.2, K.G.B.4, 2.MD.B.6, 3.NF.A.2a, 3.NF.A.2b, 5.G.A.1, 6.NS.C.6c, 6.NS.C.7a, 6.G.A.4, 8.F.B.5, HSF-LE.A.1b
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
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
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
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 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
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 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
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
Discover the pattern of Pick’s Theorem using physical or virtual manipulatives.
Lesson Plan
Grades: 9th to 12th
Geometry
Congruence
HSG-CO.D.12
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
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
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 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
In the chart, color each square according to the clues below.
- Two positive odd numbers that have a sum of 40 and the largest possible product.
- The smallest square number that is the sum of two non‑zero square numbers.
- The next five numbers in the arithmetic sequence 8, 19, 30, __, __, __, __, __.
- The maximum possible number of givens in a standard 9 × 9 Sudoku grid that does not render a unique solution.
- Two different odd numbers, one of whose digits are the reverse of the other, whose sum is 154.
- The two prime numbers whose product is 4 less than 5
^{2}
.
- In a normal distribution, the percent of values within one standard deviation of the mean.
- The 43
^{rd}
positive even number.
- The first four positive multiples of 4.
- The integer lengths of three sides of a right triangle whose area is 600 square units.
- The value of the sum 2
^{0}
+ 2
^{1}
+ 2
^{2}
+ 2
^{3}
.
- The value of the sum 2
^{0}
+ 2
^{1}
+ 2
^{2}
+ 2
^{3}
+ 2
^{4}
.
Problems
Grades: 6th to 8th, 9th to 12th, 3rd to 5th
Expression/Equation
Functions
Stats & Probability
Num & Ops Base Ten
Algebraic Thinking
Apply and extend previous understandings of arithmetic to algebraic expressions.
Interpreting Functions
Summarize and describe distributions.
Use place value understanding and properties of operations to perform multi-digit arithmetic.
Generate and analyze patterns.
Gain familiarity with factors and multiples.
Solve problems involving the four operations, and identify and explain patterns in arithmetic.
Multiply and divide within 100.
3.OA.C.7, 3.OA.D.9, 3.NBT.A.2, 4.OA.B.4, 4.OA.C.5, 4.NBT.B.4, 4.NBT.B.5, 6.SP.B.5c, HSF-IF.A.3, 6.EE.A.1
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