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...
EngageNY
Algebra II Module 2: End-of-Module Assessment
Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one potential...
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...
College Board
2001 AP® Calculus BC Free-Response Questions
Take an abbreviated look at the exam. Class members review released items to prepare for the BC exam. The released questions are the six free-response questions from the 2001 exam. Three of the items have context, while the other three...
Mathematics Assessment Project
The Number System
Count this assessment in the "use" pile. Middle schoolers solve a set of five problems in the seventh and eighth grade number system domains. All problems are in pure mathematics with no applications.
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 rate...
College Board
Calculations Aren't Enough!
Unlike mathematics, statistics comes with a context. The author reminds teachers that data analysis involves using the context to make sense of the numbers. The article stresses good communication skills by highlighting the scoring...
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 different...
Curated OER
The Haar Wavelet Filter Bank
In this Haar Wavelet learning exercise, students solve and complete 4 different problems related to the Haar Wavelet filter bank. First, they define the properties of Haar basis. Then, students compute the matrices for the first, second...
Curated OER
Composing Music Mathematically
Students 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
Learners 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.
Oleh Yudin
iCrosss
Did you know that a soccer ball is very similar to a truncated icosahedron? Both have 32 faces, but while a truncated icosahedron is made up solely of flat hexagons, a traditional soccer ball has 12 pentagons and 20 hexagons, each curved...
Mathematics Assessment Project
A Golden Crown?
In this assessment task, learners determine whether a crown with given information is composed of pure gold. The task expects algebraic and numerical solution methods, so unlike Archimedes, no bathtub is necessary.
Mathed Up!
3-D Pythagoras
Apply the Pythagorean Theorem in three-dimensional shapes. Young mathematicians watch a video that takes them through several examples of using the Pythagorean Theorem to solve problems involving lengths in three-dimensional figures. A...
Mathed Up!
Direct and Inverse Proportionality
Direct your young mathematicians to a resource on direct and inverse variation. A video first reviews concepts on direct and inverse proportionality. Individuals then answer a set of questions in pure and applied mathematics involving...
Curated OER
A Summer Reading List for Math Teachers
Teachers can read through these math-related books for pure enjoyment.
California Education Partners
Cady's Cats
How much can a cat eat? The five-question fraction assessment asks pupils to determine the fractional portion of a food box eaten by cats. Learners show their proficiency in adding and subtracting fractions using several scenarios...
California Education Partners
Soccer Snacks
Make the cookies healthy. The assessment task asks pupils to determine the number of cookies they could make based on a given amount of ingredients. Given two sugar substitutes, learners determine which substitute would be better and...
Teach Engineering
Rock and Boat
Present the class with a question on whether the water level of a pond will rise they take a large rock out of a boat and drop it into the pond. Groups come down on all sides of the question and try to justify their answers. The activity...
Concord Consortium
Acid Test
This isn't your typical basic lesson—it's more acidic! Learners use pH information to determine the hydroxide ion concentration of different substances and then use these values to analyze information. The calculations require...
Virginia Department of Education
States of Matter
Scientists have been studying exothermic reactions before they were cool. The lesson begins with a discussion and a demonstration of heat curves. Scholars then determine the heat of fusion of ice and the heat needed to boil water through...
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
Number Trivia
In this secondary mathematics worksheet, students determine the answer to trivia clues and perform the indicated operation. They then write that answer if the box which correspond to the letter of the clue to form a magic square. The...