College Board
Is That an Assumption or a Condition?
Don't assume your pupils understand assumptions. A teacher resource provides valuable information on inferences, assumptions, and conditions, and how scholars tend to overlook these aspects. It focuses on regression analysis, statistical...
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...
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...
Bowland
The Z Factor
Young mathematicians determine the number of hours it would take judges of the "Z Factor" television talent show to watch every act. Participants make estimates and assumptions to solve the problem.
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
Traffic Jam
How many cars would be involved in a traffic jam 12 miles long? A slightly ambiguous writing prompt gives learners the opportunity to practice making reasonable assumptions to tackle a real-life problem. Few details are given, so they...
Curated OER
Random Probability
In this statistics and probability worksheet, young statisticians solve and complete 13 different problems related to probability, percentages, and normal distributions. They consider data models, assumptions about the models, and find...
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...
Curated OER
Fraction Follies
Explore the multiplication and division process for fractions with this interactive presentation. Through visual fraction problems, your math learners will uncover common assumptions and errors in computing fractions and how to avoid...
Curated OER
Comparing Areas
Before your scholars know how to multiply side lengths to find an area, give them some practice in simply counting units. They examine shapes that have already been segmented into units, counting them to get the area. There are three...
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
The Area of Rectangles
There are 10 word problems here, all in the same format. Learners are presented with the geometric scenario of a rectangle divided into rows and columns. They must determine, based on the number of each, how many squares are inside the...
Curated OER
Represent a Fraction on a Number Line
Make fractions easier with a visual representation along a number line. There are eight fractions here for scholars to match to their corresponding number lines. Although this is a good idea, the formatting isn't ideal. Ask kids to...
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.
Curated OER
Cost analysis
For this Algebra I worksheet, 9th graders analyze a problem in which basic assumptions must be made about cost and demand for the product or item. Students use a graph to make predictions and determine the best price at which to sell an...
Curated OER
When Does SSA Work to Determine Triangle Congruence?
Your learners will make good use of the Socratic method in a collaborative task that begins with an assumed solution and ends with deeper understanding of the idea of determining two triangles congruent.
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...
Bowland
Speedy Santa
Santa sure is fast. In the assessment task, learners calculate the number of minutes Santa can spend at each house. This calculation requires the use of given population demographics data.
Curated OER
Newton's Law of Cooling
In this Newton's Law of Cooling worksheet, students complete an essay format write up of a convection model. They write the purpose and assumptions of their lab. Students complete three rate of change problems. They describe a model in...
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