EngageNY
Law of Sines
Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...
Curated OER
Insects?
Can you tell the difference between a bug and an insect? Aren't they the exact same thing? Let your learners explore, identify, classify, and document the differences they see in bugs and insects. The activity sheet suggests several...
Illustrative Mathematics
Right Triangles Inscribed in Circles I
One of the basic properties of inscribed angles gets a triangle proof treatment in a short but detailed exercise. Leading directions take the learner through identifying characteristics of a circle and how they relate to angles and...
Illustrative Mathematics
Are They Similar?
Learners separate things that just appear similar from those that are actually similar. A diagram of triangles is given, and then a variety of geometric characteristics changed and the similarity of the triangles analyzed. Because the...
EngageNY
Unknown Angle Proofs—Proofs with Constructions
Provide your emerging mathematicians with the tools to learn as they incorporate auxiliary lines to solve unknown angle proofs in this continuing segment. They decipher information from a diagram to uncover the missing pieces and...
EngageNY
Interpreting Quadratic Functions from Graphs and Tables
Seeing functions in nature is a beautiful part of mathematics by analyzing the motion of a dolphin over time. Then take a look at the value of a stock and maximize the profit of a new toy. Explore the application of quadratics by...
EngageNY
Informal Proof of AA Criterion for Similarity
What does it take to show two triangles are similar? The 11th segment in a series of 16 introduces the AA Criterion for Similarity. A discussion provides an informal proof of the theorem. Exercises and problems require scholars to apply...
EngageNY
Geometric Interpretations of the Solutions of a Linear System
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
EngageNY
Finding One Hundred Percent Given Another Percent
Class members solve problems to find the whole when given a percent. They use double line numbers and factors of hundred to help break the 100 percent into equal segments.
EngageNY
Population Problems
Find the percent of the population that meets the criteria. The 17th segment of a 20-part unit presents problems that involve percents of a population. Pupils use tape diagrams to create equations to find the percents of subgroups of the...
EngageNY
Equivalent Ratios Defined Through the Value of a Ratio
Ratios may not be created equal, but they are equivalent. Pupils learn the theorem relating equivalent ratios and equal values in the eighth segment in a series of 29. Classmates use the theorem to determine whether ratios within various...
EngageNY
Getting the Job Done—Speed, Work, and Measurement Units
How do you convert from one measurement to another? Pupils use unit rates to convert measurements from one unit to another in the 21st segment in a 29-part series. They convert within the same system to solve length, capacity, weight,...
EngageNY
Interpreting and Computing Division of a Fraction by a Fraction—More Models
Use a unit approach in developing a fraction division strategy. The teacher leads a discussion on division containing units, resulting in a connection between the units and like denominators. Pupils develop a rule in dividing fractions...
Curated OER
Setting the Story: Techniques for Creating a Realistic Setting
“It was a dark and stormy night.” Thus begins the 1830's novel Paul Clifford and, of course, all of Snoopy’s novels! Encourage young writers to craft settings for their stories that go beyond Edward Bulwer-Lytton’s often-mocked phrase...
Utah Education Network (UEN)
Subtracting Integers
Review the concepts of additive inverses and adding positive and negative integers. Relate understanding to the subtraction of integers. This is done with either the use of "Algeblocks" (any square or tile manipulative should do) or a...
PLS 3rd Learning
Budget Basics
Prepare young adults for life with various budgeting activities. Exercises include identifying fixed, variable, and discretionary income, and creating a budget based on a realistic projected income. The required website allows teachers...
PLS 3rd Learning
Priceless
The message that buying things brings happiness is everywhere. Teenagers are not immune to this marketing strategy and benefit from reflecting on the relentless pressure to spend. This exercise invites young adults to consider the value...
Curated OER
Gary Paulsen's Canyons: Question the Author (QtA) Strategy
Gary Paulsen’s Canyons is the focus of an exercise that models how to read closely using a Questioning the Author (QtA) strategy. Complete directions for the strategy, which can be used with any text, are included in the richly-detailed...
Practical Action
Climate Change - Who's In Control?
How can both individuals and governments respond to climate change and take responsibility to reduce its effects on our environment? Here you will find three lessons filled with discussion, debate, and role-playing...
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Teach Engineering
What's Wrong with the Coordinates at the North Pole?
Here is an activity that merges technology with life skills as individuals use Google Earth to explore the differences between coordinate systems and map projections. The self-guided worksheet is the fourth segment in a nine-part unit....
EngageNY
Percent Error Problems
Individuals measure a computer monitor and determine how accurate their measures are. The eighth segment in a series of 20 introduces the concept of percent error. Pupils find the percent error of their measurements and discuss the...
Curated OER
Pythagorean Triples
Students investigate the mathematical concepts related to the study of The Pythagorean Theorem. They graph and review how to use a line segment to construct a triangle. Then using the theorem students calculate the length of the hypotenuse.