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EngageNY
The Mathematics Behind a Structured Savings Plan
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...
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...
University of Georgia
Using Freezing-Point Depression to Find Molecular Weight
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...
Illustrative Mathematics
The Lighthouse Problem
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...
Curated OER
Composing Music Mathematically
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.
EngageNY
Graphs of Quadratic Functions
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.
Curated OER
The Fibonacci Sequence
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.
Virginia Department of Education
States of Matter
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...
Curated OER
The Discovery of Ohm's Law
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.
Curated OER
Exploring and Creating Tessellations
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 .
EngageNY
Mixture Problems
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...
EngageNY
Getting a Handle on New Transformations 2
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...
EngageNY
Unknown Angle Proofs—Writing Proofs
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.
Curated OER
Solving Math Problems In the Real World
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....
Curated OER
Improbability of Evolution
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...
Curated OER
Lesson 10: Graphs
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...
Curated OER
Pythagoras' Theorem
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.
Illustrative Mathematics
Comparing Freezing Points
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.
Illustrative Mathematics
How Many Colored Pencils?
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...
Curated OER
The Power of Algebra
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.
Curated OER
History / Introduction of Pythagorean Theorem
Learners explore Pythagoras and the history behind his theorem. They work together to solve a proof that is embedded in the lesson.
Illustrative Mathematics
How Many Solutions?
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...
Curated OER
Caesar Ciphers: An Introduction to Cryptography
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...
Curated OER
Maxima and Minima Problems
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...