Illustrative Mathematics
Using Benchmarks to Compare Fractions
Introduce a new strategy for comparing fractions by analyzing Melissa's use of benchmarks. Walk the class through her process, calling on students to explain their understanding of each step she took. Then practice this method on two...
MENSA Education & Research Foundation
Probably Probability
Reinforce the concept of probability with a series of lessons highlighting the idea of likelihood, probability formulas, relative frequency, outcomes, and event predictions. The collection is made up of four lessons offering informative...
EngageNY
Using Trigonometry to Find Side Lengths of an Acute Triangle
Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems.
EngageNY
Construct an Equilateral Triangle (part 1)
Drawing circles isn't the only thing compasses are good for. In this first installment of a 36-part series, high schoolers learn how to draw equilateral triangles by investigating real-world situations, such as finding the location of a...
EngageNY
Advanced Factoring Strategies for Quadratic Expressions (part 1)
Factoring doesn't have to be intimidating. Build on prior knowledge of multiplying binomials and factoring simple trinomials to teach advanced factoring of quadratic expressions with a instructional activity that uses various methods of...
EngageNY
Trigonometry and Complex Numbers
Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the...
EngageNY
Inverse Trigonometric Functions
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...
Willow Tree
Formulas
Help learners understand the benefits of rearranging a formula. Scholars practice rearranging formulas for specific variables. They also analyze formulas to understand one variable's effect on the other.
EngageNY
Rectangles Inscribed in Circles
Putting a rectangular object into a circular one—didn't the astronauts on Apollo 13 have to do something like this? Learners first construct the center of a circle using perpendiculars. They then discover how to inscribe a rectangle in a...
Federal Reserve Bank
Your Credit Report
What is your credit score? How do you find it? Help your pupils answer these questions and more. They will access their free credit report and then analyze its meaning.
Federal Reserve Bank
Saving and Investing for the Long Term
Create savvy investors with an activity that uses an online resource to allow individuals to invest in the stock market. The teacher is able to track activity and progress. Stock tips and strategies are shared.
EngageNY
Modeling with Inverse Trigonometric Functions 1
Where should I stand to get the best view? Pupils use inverse trigonometric functions to determine the horizontal distance from an object to get the best view. They round out the lesson by interpreting their answers within context.
Kenan Fellows
Reading Airline Maintenance Graphs
Airline mechanics must be precise, or the consequences could be deadly. Their target ranges alter with changes in temperature and pressure. When preparing an airplane for flight, you must read a maintenance graph. The second lesson of...
EngageNY
Distributions and Their Shapes
What can we find out about the data from the way it is shaped? Looking at displays that are familiar from previous grades, the class forms meaningful conjectures based upon the context of the data. The introductory lesson to...
EngageNY
Rotations, Reflections, and Symmetry
Lead your high school class on a journey through the world of symmetry and reflections as you discuss geometric principles. Pupils differentiate between reflections and rotations, explore rotational symmetry, and investigate how to...
EngageNY
The Definition of Sine, Cosine, and Tangent
Introduce your classes to a new world of mathematics. Pupils learn to call trigonometric ratios by their given names: sine, cosine, and tangent. They find ratios and use known ratios to discover missing sides of similar...
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