University of California
Euclidean Geometry
Go back to where it all began! Investigate how axiomatic systems and Euclidean geometry are based on undefined terms, common notions, postulates, and propositions by examining passages from Euclid's Elements. (Social studies teachers...
Curated OER
Geometry Project
Proofs are usually an intimidating assignment. An engaging lesson focused on geometric proofs may reduce the anxiety! Pupils choose between several triangle proofs to complete and work on completing them. The assignment also gives a...
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
Comparing the Ratio Method with the Parallel Method
Can you prove it? Lead your class through the development of the Side Splitter Theorem through proofs. Individuals connect the ratio and parallel method of dilation through an exploration of two proofs. After completing the proofs,...
EngageNY
Mid-Module Assessment Task - Geometry (Module 1)
How do you prepare class members for the analytical thinking they will need in the real world? An assessment requires the higher order thinking they need to be successful. The module focuses on the concept of rigid transformations...
Curated OER
Area of Polygons
Young scholars engage in a lesson that is about the concept of polygons and focuses upon finding the area. They use formulas provided in the lesson in order to solve problems given by the teacher for independent practice. Geometric...
Curated OER
Shell Graphing
Fifth graders explore the four quadrants of a coordinate grid. In this graphing lesson plan, 5th graders trace sea shells in each of the four quadrants of a coordinate grid and then label the ordered pairs on each shell. For the final...
Curated OER
How can deep-water corals be used to determine long-term patterns of climate change?
Students explore the concept of paleoclimatological proxies. In this paleoclimatological proxies lesson, students explain isotope ratios in deep water coral samples. Students write a paragraph about global climate change as it effects...
EngageNY
Calculating Probabilities of Compound Events
Use tree diagrams with multiple branches to calculate the probabilities of compound events. Pupils use tree diagrams to find the sample space for probability problems and use them to determine the probability of compound events in the...
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...
Kenan Fellows
Introduction to a Flight Computer
Keep your hands on the wheel—at all times! Scholars learn why pilots use a flight computer through a high-flying demonstration. Making calculations for speed, distance, or time is automatic if you know how to use a flight computer.
Kenan Fellows
Weight and Balance of an Airplane
A career in aeronautics might be calling your class members. Building from the previous two lessons in the series, learners continue analyzing the mathematics of aeronautics. Groups create a paper airplane using paperclips for balance....
Curated OER
A Year in Arizona
Fourth graders create a calendar about their state. In this state calendar lesson, 4th graders select a state theme and create a calendar based on that theme. Students write paragraphs for each month related to the theme and design the...
Curated OER
Linear Equations Project Fram
Students engage in a lesson that focuses on the concept of linear equations. They practice solving problems with a variety of problems and graphing the solution set for each. Students write a summary paragraph about two methods of...
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
New York State Education Department
TASC Transition Curriculum: Workshop 4
Why is it important to use precise language? Participants explore this question in the fourth activity in a series of 15 on effective instruction. Perfect for all content areas, the activity promotes appropriate language choice through...
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
Modeling an Invasive Species Population
Context makes everything better! Groups use real data to create models and make predictions. Classmates compare an exponential model to a linear model, then consider the real-life implications.
Mathematics Vision Project
Module 6: Trigonometric Functions
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
EngageNY
Estimating a Population Proportion
Find the percent of middle schoolers who want the ability to freeze time. The 21st installment in a series of 25 has groups collect a random sample of respondents who answer a question about superpowers. Using sample statistics,...
EngageNY
The Difference Between Theoretical Probabilities and Estimated Probabilities
Flip a coin to determine whether the probability of heads is one-half. Pupils use simulated data to find the experimental probability of flipping a coin. Participants compare the long run relative frequency with the known theoretical...
EngageNY
Populations, Samples, and Generalizing from a Sample to a Population
Determine the difference between a sample statistic and a population characteristic. Pupils learn about populations and samples in the 14th portion in a unit of 25. Individuals calculate information directly from populations called...
EngageNY
Describing the Center of a Distribution Using the Median
Find the point that splits the data. The lesson presents to scholars the definition of the median through a teacher-led discussion. The pupils use data lists and dot plots to determine the median in sets with even and odd number of data...