Use beans to physically represent quotients that have remainders, and compare remainders written as fractions of whole groups to the results obtained with a calculator.

Lesson Plan

Grades: 6th to 8th

The Number System

Expression/Equation

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Know that there are numbers that are not rational, and approximate them by rational numbers.

Compute fluently with multi-digit numbers and find common factors and multiples.

Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

7.EE.B.3, 6.NS.B.2, 8.NS.A.1, 7.NS.A.2d

Use the formula for the volume of a cylinder and convert it into the same volume for rectangular prisms while trying to minimize the surface area.

Lesson Plan

Grades: 6th to 8th

Geometry

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

Use proportions and similar figures to adjust the size of the New York City Subway Map so that it is drawn to scale.

Lesson Plan

Grades: 9th to 12th, 6th to 8th, High School

Geometry

Number & Quantity

Ratio & Proportion

Similarity, Right Triangles, and Trigonometry

Congruence

Understand congruence and similarity using physical models, transparencies, or geometry software.

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, 6.RP.A.3a, 7.G.A.1, HSN-Q.A.3, 8.G.A.1a, 8.G.A.1b, 8.G.A.1c, 8.G.A.5, HSG-CO.A.1, HSG-SRT.A.2, HSG-SRT.A.3, HSG-SRT.B.4, HSG-SRT.B.5

Construct a scale drawing of a regulation dartboard using geometry and measurement.

Lesson Plan

Grades: 6th to 8th

Ratio & Proportion

Understand ratio concepts and use ratio reasoning to solve problems.

6.RP.A.1

Use unit rates or proportions and think critically about the real world applications of a baking problem.

Lesson Plan

Grades: 6th to 8th

Ratio & Proportion

Analyze proportional relationships and use them to solve real-world and mathematical problems.

7.RP.A.3, 7.RP.A.2a