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EngageNY
Projecting a 3-D Object onto a 2-D Plane
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
EngageNY
Matrix Multiplication Is Distributive and Associative
Learn the ins and outs of matrix multiplication. After discovering the commutative property does not apply to matrix multiplication in a previous lesson plan in the series, pupils now test the associative and distributive properties. The...
EngageNY
Analyzing Decisions and Strategies Using Probability 2
Explore how to compare and analyze different strategies. In the 20th installment of a 21-part module, scholars continue their analysis of decisions and strategies from the previous lesson. They then extend this concept to hypothesis...
Charleston School District
Graphs of Linear Functions
What does a slope of 2/3 mean? Develop an understanding of the key features of a linear function. Pupils graph the linear functions and explain the meaning of the slope and intercepts of the graphs.
West Contra Costa Unified School District
Connecting Fractions and Rational Expressions
Teach class members to work with rational expressions using their knowledge of fractions. The lesson plan starts with a warm-up of rational expressions at four different levels of complexity. The different levels continue throughout...
West Contra Costa Unified School District
Indefinite Integrals
The inverse of matter is anti-matter, so the inverse of a derivative is an antiderivative. The lesson introduces antiderivatives and indefinite integrals to the class along with the notation for integrals. Groups work together to find...
West Contra Costa Unified School District
Average Rate of Change
The concept of slope gets an approachable, yet theoretical, treatment in a comprehensive algebra lesson. The use of functional notation and problem-solving techniques keep the material rigorous, but detailed teaching notes and lots of...
West Contra Costa Unified School District
Using Derivatives to Graph Polynomials
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...
Pace University
Grades 9-10 Algebra: Graphic Quadratics on the Coordinate Plane
Find quadratics in the world. Learners select ways to compare and contrast linear and quadratic functions and how to demonstrate knowledge of parabolas in the world. Teachers assign a third task challenging individuals to find equations...
Pace University
Grades 7-8 Mean, Median, and Mode
Take a central look at data. The differentiated lesson provides activities for pupils to calculate central tendencies. Scholars begin choosing three central tendency activities from a Tic-Tac-Toe board. Learners then choose from sports,...
Radford University
Percentages: Lessons 2 and 3
What does salary have to do with it? Working in small groups, scholars use percentages to find simple interest and the value of a car they can afford on a given salary. Learners continue on to work with salaries and calculate amounts...
Curated OER
Addition
Explore the concept of number bonds with your young elementary students. They will become familiar with the number bonds to 10, 20, and 100, and then play games to practice these skills. This is a differentiated instructional activity...
Curated OER
The Square Counting Shortcut
An excellent lesson that encourages students to discover how complex figures can be broken into simpler shapes when measuring area. Working with block letters, learners are given the freedom to develop their own strategies for...
Flipped Math
Calculus AB/BC - The Quotient Rule
Some differentiation rules are just better to memorize. The ninth lesson in a unit of 11 presents the quotient rule to pupils for them to memorize. Learners use the quotient rule to determine the derivative of two quotients after seeing...
Curated OER
The Math of Renewable Energy
Middle schoolers research additional information about questions on their worksheet. In this energy activity, students develop visual aids of their proposed solution to the problem. They present their work in class.
EngageNY
Solving Inequalities
Investigate complex problem situations by applying inequalities. Building from concepts explored in the previous lesson plan, learners read word problems and develop inequalities to represent the situation. They then solve the...
EngageNY
Collecting Rational Number Like Terms
Teach pupils to handle fractions fluently. The sixth installment in the series of 28 has class members apply the concepts learned in previous lessons to expressions with fractional coefficients. The fractions are both mixed numbers and...
EngageNY
Identical Triangles
Explore vocabulary and notation related to triangles and congruence. The fifth lesson plan in the 29-part series helps pupils build their knowledge of triangle relationships. Individuals identify corresponding parts of identical...
EngageNY
Conditions for a Unique Triangle—Two Angles and a Given Side
Using patty paper, classes determine that only one triangle is possible when given two specific angle measures and a side length. As the 10th instructional activity in the series of 29, young math scholars add these criteria to those...
EngageNY
Slicing a Right Rectangular Pyramid with a Plane
How many ways can you slice a pyramid? The 18th lesson of the 29-part series examines the multiple planes of a rectangular pyramid. Pupils study each slice to determine its shape and relation to the different faces.
EngageNY
Understanding Three-Dimensional Figures
You can't judge a book by its cover ... or a cube structure by just one face. A creative instructional activity looks at the shape of several cube structures described by level slices. The 20th instructional activity of the 29-part...
EngageNY
Surface Area II
Examine the surface area of composite figures using an exploratory approach. As a continuation of the previous lesson plan of the 29-part series, young scholars develop plans for finding the surface area of composite figures. Examples...
EngageNY
Generating Equivalent Expressions II
Discover how to apply the commutative and associative properties to generate equivalent expressions. The second lesson in the 28-part module asks pupils to rearrange an expression by grouping like terms. From there, they can combine...