Curated OER
Tennis Balls in a Can
Make your classroom interesting by teaching or assessing through tasks. Deepen the understanding of Geometry and motivate young mathematicians. The task uses investigation with tennis balls and their container to prompt learners to use...
Curated OER
Congruent Rectangles
Very simply, geometers examine a pair of rectangles on graph paper and find a translation and rotation to demonstrate their congruence. A couple of questions follow to stimulate critical thinking about other possibilities.
Curated OER
A Rectangle in the Coordinate Plane
A quadrilateral is drawn on the coordinate plane, and eighth grade geometers find the length of each side and the diagonals by applying the Pythagorean theorem.
Curated OER
Tile Patterns I: Octagons and Squares
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
Curated OER
Reflecting a Rectangle Over a Diagonal
Use the handout as guided or independent practice in drawing a reflection of a rectangle over a line. Three rectangles are provided for practice in addition to a critical thinking question.
Curated OER
Cover Up: Tools for Integrating Math and Engineering
Blend art, adolescent snacking habits, and math to create new cereal boxes. Secondary learners review scale drawings. They use this information to construct cereal boxes to scale and will compare their creation to the original product to...
Curated OER
Tell Us All: Tools for Integrating Math and Engineering
What a scam! Middle and high schoolers pose as journalists exposing consumer fraud. In this lesson, they write an article for a magazine using data collected during previous investigations (prior lessons) to defend their findings that a...
Kenan Fellows
Designing and Analyzing Data Collected from Wearable Devices to Solve Problems in Health Care
Wearable devices have become more the norm than the exception. Learners analyze data from a sample device with a regression analysis in a helpful hands-on instructional activity. Their focus is to determine if there is a connection...
Curated OER
Problem Solving---A Part of Everyday Thinking
Young scholars demonstrate knowledge of the six basic steps to problem solving. They demonstrate ability to apply these six basic steps to problem solving by guiding other students in the solution of a given problem or set of problems.
Virginia Department of Education
Exponents
Expand your knowledge of exponents with an activity that promotes critical thinking and comparison skills. Middle and high schoolers compare numbers written in expanded and exponential form and explain their strategies for solving...
Curated OER
Math Challenge
Students challenge their math knowledge through a series of lessons designed to engage critical thinking and reasoning skills. In these problem solving lessons, students work with the Pythagorean Theorem, time zones in different regions...
Illustrative Mathematics
Paying the Rent
Learning how a bank account works is a useful tool. The exercise in the resource is to deduct rent from a checking account and create an equation from a description. Participants then graph the balance of the bank account versus months...
Serendip
Understanding and Predicting Changes in Population Size – Exponential and Logistic Population Growth Models vs. Complex Reality
Salmonella poisoning impacts over 200,000 people in the United States each year. Scholars learn about the growth of these bacteria using multiple approaches. Then they apply the same growth calculations to endangered species and think...
Curated OER
Understanding the Bush Tax Cut Plan
The class examines the new tax cut plan proposed by President Bush. They practice calculating income tax rates and interpreting the data. Then they research topics that are of interest to them related to taxes.
EngageNY
The Angle-Angle (AA) Criterion for Two Triangles to Be Similar
What do you need to prove triangles are similar? Learners answer this question through a construction exploration. Once they establish the criteria, they use the congruence and proportionality properties of similar objects to find...
Institute of Electrical and Electronics Engineers
Playing with Parachutes
This lesson certainly will not be a drag! Little engineers design parachutes that make use of air resistance and, as a result, slow the descent of the payload as much as possible. It is an opportunity to teach about many motion concepts:...
Mathematics Assessment Project
Solving Problems with Circles and Triangles
After completing a task involving examining the ratio of areas of triangles and circles in a given figure, scholars examine sample responses to identify other strategies they could use to solve the problem.
Curated OER
Tools for Integrating Math and Engineering: Weighin' In
Students collect and analyze data on a fictional cereal company's products. In this measurement lesson, students collect data from cereal boxes (weight, volume, surface area, etc.) to determine if the boxes labels correctly inform...
Curated OER
House and Holmes: A Guide to Deductive and Inductive Reasoning
Test your pupils' reasoning skills with several activities and a quick mystery to solve. Learners watch and analyze a few video clips that demonstrate reasoning in action, practice deduction with an interactive and collaborative...
Institute of Electrical and Electronics Engineers
Spring Scale Engineering
After examining how a spring scale works, teams work together to design their own general measurement device. Reading material provides background information, but there is no part of the procedure in which learners handle an actual...
Curated OER
Triangle Congruence with Coordinate
Two triangles are displayed on a coordinate plane. Youngsters apply a reflection and a translation to demonstrate their congruence. This exercise makes a terrific tool for teaching these concepts, or a way to assess learning.
EngageNY
Triangle Congruency Proofs (part 1)
Can they put it all together? Ninth graders apply what they know about proofs and triangle congruence to complete these proofs. These proofs go beyond the basic triangle congruence proofs and use various properties, theorems, and...
Consumers Energy
The Cost of Electricity
How much is your toaster costing you every day? Young environmentalists calculate the monetary costs of household appliances based on their average consumption of wattage.
EngageNY
Dilations as Transformations of the Plane
Compare and contrast the four types of transformations through constructions! Individuals are expected to construct the each of the different transformations. Although meant for a review, these examples are excellent for initial...