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.
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...
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...
EngageNY
Review of the Assumptions (part 1)
What was the property again? Tired of hearing this from your pupils? Use this table to organize properties studied and as a reference tool for individuals. Learners apply each property in the third column of the table to ensure their...
EngageNY
Review of the Assumptions (part 2)
Is the amount of information getting overwhelming for your geometry classes? Use this strategy as a way to organize information. The resource provides a handout of information studied in relation to triangle congruence. It includes a...
Illustrative Mathematics
How Thick Is a Soda Can II?
Science, technology, and math come together in this one combination exercise. Analyzing the common soda can from both a purely mathematical perspective and a scientific angle allows for a surprisingly sophisticated comparison of...
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.
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...
Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and stations....
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
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...
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.
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...
Howard Hughes Medical Institute
Calculating Iridium Fallout from an Asteroid Impact
Should we be afraid of a large asteroid impact on Earth today? Young scientists estimate the size and composition of an asteroid similar to the one that caused the K-T mass extinction. They apply algebraic formulas to answer questions...
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...
Curated OER
Properties of Equality
What assumptions are made in order to solve equations? An instructional slideshow provides an overview and guided examples of how properties of equality can be used to justify each step in solving equations.
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...
Macmillan Education
Career/Work
Learners explore their perspectives of different occupations, discover what life skills will be valuable to them in whatever career path they choose, and discuss important terms related to the work environment.
Illustrative Mathematics
Running Around a Track I
The accuracy required by the design and measurement of an Olympic running track will surprise track stars and couch potatoes alike. Given a short introduction, the class then scaffolds into a detailed analysis of the exact nature of the...
National Woman's History Museum
19th Amendment
As part of a study of the women's suffrage movement and the ratification of the Nineteenth Amendment, young historians examine documents that detail when voting rights were granted to women in various countries and when US states...
Illustrative Mathematics
Waiting Times
Probability prevails in this assignment as youngsters determine the probability of finding a blue pen in a cereal box when they can come in blue, green, yellow, or red. Learners set up a simulation to determine the outcome of compound...
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
Mid-Module Assessment Task: Grade 8 Module 1
Assess your young mathematicians' knowledge and understanding of the properties of exponents. The questions in the seventh lesson of 15 incorporate the properties learned in the first six modules of this series. Individuals use and apply...
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.
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