Macmillan Education
Challenging Assumptions
After experiencing how quick and easy it is to make judgments as part of an opening activity, learners discuss the concept of a stereotype and the need to think critically and question our immediate assumptions.
EngageNY
Looking More Carefully at Parallel Lines
Can you prove it? Making assumptions in geometry is commonplace. This resource requires mathematicians to prove the parallel line postulate through constructions. Learners construct parallel lines with a 180-degree rotation and then...
EngageNY
How Do Dilations Map Segments?
Do you view proofs as an essential geometric skill? The resource builds on an understanding of dilations by proving the Dilation Theorem of Segments. Pupils learn to question and verify rather than make assumptions.
Education Bureau of Hong Kong
Mental Models
Behaviors are often based on assumptions. That's the big idea in the third lesson of a series of critical think resources. Through a series of worksheets, learners examine the conscious and heretofore unconscious assumptions that...
Illustrative Mathematics
How Thick Is a Soda Can I?
The humble soda can gets the geometric treatment in an activity that links math and science calculations. After a few basic assumptions are made and discussed, surface area calculations combine with density information to develop an...
Balanced Assessment
Fermi Estimates II
How many hot dogs does Fenway Park go through in a year? Learners estimate answers to this question and more as they work through the task. Problems require participants to make assumptions and use those assumptions to make estimations.
Curated OER
Mini-Lesson: Planning for Inferences
The five lessons in this resource are designed to teach class members how to read between the lines, how to use personal experience/background knowledge/schema, along with the information in the text, to make assumptions about what is...
Education Bureau of Hong Kong
Fundamentals
"Fundamentals," the first lesson in a series of eight, introduces the basic concepts and strategies covered in a series of resources designed to teach high schoolers critical thinking skills. The worksheets and activities in this first...
101 Questions
Super Stairs
Keep your classes climbing in the right direction. Young mathematicians collect data from a video presentation. Using their data, they build an arithmetic sequence and use it to make predictions.
Illustrative Mathematics
How Many Cells Are in the Human Body?
Investigating the large numbers of science is the task in a simple but deep activity. Given a one-sentence problem set-up and some basic assumptions, the class sets off on an open-ended investigation that really gives some context to all...
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...
Annenberg Foundation
Skeeters Are Overrunning the World
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
Illustrative Mathematics
Longer and Heavier? Shorter and Heavier?
For many young children it seems obvious that longer objects are heavier than shorter objects. This assumption is put to the test as the class investigates the relationship between length and weight in a whole-group activity. Using a...
Visa
Keeping Score: Why Credit Matters
How does one get credit, and who provides credit? What is a credit score, and how can an understanding of a credit score help you to make smart financial decisions? Through discussion and worksheets, class members will identify the...
Curated OER
Mini-Lesson Planning for Inferences
Making inferences and drawing conclusions is a key component to successful active reading. Encourage your class to use context clues and prior knowledge to infer different elements of a story, including the setting, plot, and character...
101 Questions
Potty Math
You don't want to flush your money down the drain! Have your classes complete a financial comparison between two different types of toilets. They use linear modeling to determine the most cost-effective model.
Mathematics Vision Project
Geometric Figures
Logical thinking is at the forefront of this jam-packed lesson, with young mathematicians not only investigating geometric concepts but also how they "know what they know". Through each activity and worksheet, learners wrestle with...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This unit...
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Students Against Depression
Understand Your Depression
What are the warning signs of depression? What contributes to and maintains this disorder? Learners answer several short-answer questions regarding depression using a well-designed student packet. The lesson concludes by considering the...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...