Lesson Plan
EngageNY

The Mathematics Behind a Structured Savings Plan

For Teachers 10th - 12th Standards
Make your money work for you. Future economists learn how to apply sigma notation and how to calculate the sum of a finite geometric series. The skill is essential in determining the future value of a structured savings plan with...
Lesson Plan
Illustrative Mathematics

How Thick Is a Soda Can II?

For Teachers 9th - 12th Standards
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...
Lesson Plan
University of Georgia

Using Freezing-Point Depression to Find Molecular Weight

For Teachers 9th - 12th Standards
Explore the mathematical relationship between a solvent and solute. Learners use technology to measure the cooling patterns of a solvent with varying concentrations of solute. Through an analysis of the data, pupils realize that the...
Lesson Plan
Illustrative Mathematics

The Lighthouse Problem

For Teachers 9th - 11th Standards
Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the...
Lesson Plan
Curated OER

Composing Music Mathematically

For Teachers 9th - 12th
Pupils recognize relationships between mathematics and music by identifying the frequency and volume of a pure tone. Students discover that sound can be represented as a function and collect pure tones to generate smooth curves.
Lesson Plan
EngageNY

Graphs of Quadratic Functions

For Students 9th - 10th Standards
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.
Lesson Plan
Curated OER

The Fibonacci Sequence

For Teachers 6th - 8th
Middle schoolers investigate a numerical pattern and look for evidence of mathematical patterns in nature. They solve puzzles and work with a partner to predict sequential numbers in a series.
Lesson Plan
Virginia Department of Education

States of Matter

For Teachers 9th - 12th Standards
Scientists have been studying exothermic reactions before they were cool. The instructional activity begins with a discussion and a demonstration of heat curves. Scholars then determine the heat of fusion of ice and the...
Lesson Plan
Curated OER

The Discovery of Ohm's Law

For Teachers 8th - 12th
Students study Georg Ohm and how he changed mathematics with his law.  In this experimental evidence and stastics lesson students complete an experiment on the characteristics of Ohm's law. 
Lesson Plan
Curated OER

Exploring and Creating Tessellations

For Teachers 9th - 11th
Students use translations, rotations, and reflections to create tessellations. They explore and construct several different types of tessellations including pure/semi-pure and non-regular polygon and "Escher-like" tessellations .
Lesson Plan
EngageNY

Mixture Problems

For Teachers 7th Standards
What percent of the mixture is juice? Pairs use their knowledge of proportions to determine what percent a mixture is juice given the percent of juice in the components. Pupils use the procedure learned with the juice mixture problem to...
Lesson Plan
EngageNY

Getting a Handle on New Transformations 2

For Teachers 11th - 12th Standards
Use 2x2 matrices to move along a line. The second day of a two-day lesson is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given...
Lesson Plan
EngageNY

Unknown Angle Proofs—Writing Proofs

For Teachers 9th - 10th Standards
What do Sherlock Holmes and geometry have in common? Why, it is a matter of deductive reasoning as the class learns how to justify each step of a problem. Pupils then present a known fact to ensure that their decision is correct.
Lesson Plan
Curated OER

Solving Math Problems In the Real World

For Teachers 5th - 8th
Upper elementary and middles schoolers discuss and solve real world applications of math. They use formulas for volume and percents to answer real world questions. In the second part of the lesson, groups write and solve word problems....
Lesson Plan
Curated OER

Improbability of Evolution

For Teachers 6th - 8th
Middle schoolers disprove evolution. In this science lesson, students disprove evolution by attempting to prove that creation is the way it all began. They use the improbability that evolution could exist and expose its fallacies, frauds...
Lesson Plan
Curated OER

Lesson 10: Graphs

For Teachers 10th - 11th
Students explore graph theory.  In this geometry lesson,  graphs are used to solve problems in a variety of domains.  In this lesson the term graph refers to a collection of vertices and edges used to depict...
Lesson Plan
Curated OER

Pythagoras' Theorem

For Teachers 8th - 12th
Students are introduced to the Pythagoras' Theorem and its history, proofs and practice in application. Students find perimeters, areas and volume of everyday objects. Students state and explain the theory.
Lesson Plan
Illustrative Mathematics

Comparing Freezing Points

For Teachers 6th - 7th Standards
Subtracting negative numbers can be confusing to your middle schoolers. Here, they are able to draw a number line and put their answer in sentence form to check their understanding of negative numbers. 
Lesson Plan
Illustrative Mathematics

How Many Colored Pencils?

For Teachers 2nd - 4th Standards
Support young mathematicians' interpretation of place value in order to multiply single-digit numbers by 10. The task builds upon and enhances a learners' understanding of place value, a second grade skill, while introducing...
Lesson Plan
Curated OER

The Power of Algebra

For Teachers 1st
First graders explore patterns. They look for patterns in number problems and use algebra as a means of solving general problems. Students devise a strategy to solve the number problem.
Lesson Plan
Curated OER

History / Introduction of Pythagorean Theorem

For Teachers 7th - 12th
Learners explore Pythagoras and the history behind his theorem. They work together to solve a proof that is embedded in the lesson.
Lesson Plan
Illustrative Mathematics

How Many Solutions?

For Teachers 7th - 9th Standards
Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
Lesson Plan
Curated OER

Caesar Ciphers: An Introduction to Cryptography

For Teachers 8th - 10th
Students brainstorm and discuss the concept of cryptography, the science of secrets in today's world and then focus on a system for sending secret messages used by Julius Caesar. They make a Caesar wheel assessing encrypting and...
Lesson Plan
Curated OER

Maxima and Minima Problems

For Teachers 11th - 12th
Learners calculate the maxima and minima of quadratic equations. In this calculus instructional activity, students apply the derivatives by finding the maxima and minima using real life application. They solve optimization using the...