Activity
PBL Pathways

Students and Teachers

For Students 10th - Higher Ed Standards
Predict the future of education through a mathematical analysis. Using a project-based learning strategy, classes examine the pattern of student-to-teacher ratios over a period of years. Provided with the relevant data, learners create a...
Lesson Plan
University of Las Vegas

Heart Rate and Physical Activity

For Teachers 4th - 6th
What is heart rate? What is pulse? How do you find a heart rate by taking a pulse? What determines a person's heart rate? Will heart rate increase by doing some activity? Does exercising regularly strengthen the heart muscle? Take a look...
Performance
Radford University

How do I Create a Scaled Model of a Full-Sized Basketball Court?

For Teachers 9th - 12th Standards
Take mathematics to the hoop! Pairs first measure the linear distances on a basketball court. Using those measurements, they determine the scale lengths to create a scaled model. To finish the activity, learners create models of the...
Lesson Plan
EngageNY

Analytic Proofs of Theorems Previously Proved by Synthetic Means

For Students 9th - 12th Standards
Prove theorems through an analysis. Learners find the midpoint of each side of a triangle, draw the medians, and find the centroid. They then examine the location of the centroid on each median discovering there is a 1:2 relationship....
Worksheet
Port Jefferson School District

Climate Patterns

For Students 6th - 9th
Young climatologists explore the factors that contribute to a region's climate in this two-part earth science activity. To begin, learners are provided with a map of an imaginary planet and are asked to label global wind and...
Lesson Plan
Curated OER

Finding the Area Under A Curve with Random Probability

For Teachers 11th - Higher Ed
Students explore the concept of area under a curve. In this area under a curve lesson, students find the area under a curve using the Monte Carlo method using random points and probability. Students calculate the area under the same...
Lesson Plan
Curated OER

Ratios

For Teachers 6th
Sixth graders use ratios to solve unit problems. Pupils write ratios in three different ways. In groups, they perform a bean activity, find ratios, and write them in simplest form.
Lesson Plan
Curated OER

How are Trig Ratios Used to Measure Triangle Sides

For Teachers 8th - 11th
Students identify the ratios of trig identities. In this geometry lesson plan, students solve the missing sides and angles of triangles using trig ratios. They relate the graphs and waves to real life scenarios.
Lesson Plan
Curated OER

Is Bigger Always Better?

For Teachers 6th - 8th
Explore rational numbers with the young mathematicians in your class. They will investigate decimals, fractions, and percents before ordering and comparing rational numbers. This multi-day unit includes differentiation activities and...
Lesson Plan
Curated OER

Discovering Pi/Welcome to Pi Day

For Teachers 9th - 12th
Students explore pi. In this circle measurement lesson, students define and identify radius, diameter, circumference, and perimeter. Students work in groups to measure several plastic lids and record their findings. Students compare the...
Lesson Plan
Curated OER

Using Ratios to Taste the Rainbow

For Teachers 9th - 11th
Students solve problems using ratios and proportion. In this algebra lesson plan, students analyze skittles and their different colors as they apply the properties of ratios and proportions to solve their problems.
Lesson Plan
Curated OER

Surface Area to Volume Ratio

For Teachers 7th - 10th
Students examine the surface area to volume ratio and how they relate.  In this surface area activity students complete several activities.
Lesson Plan
Curated OER

Ratios

For Teachers 6th
Sixth graders investigate the concept of ratios and how they can be used to represent the comparison of quantities. The lesson is taught using a table or graph to compare two categories of data.
Lesson Plan
Curated OER

Ratio Relationships

For Teachers 9th - 11th
Students solve for the different ratio and proportion of a problem. In this geometry lesson, students show their knowledge of how to solve proportional relationships. They convert between percent, decimals and fractions.
Lesson Plan
Curated OER

The Snack Bar

For Teachers 6th
Sixth graders complete a purchase order. In this ratios and patterns lesson, 6th graders work in groups to complete a purchase order for a grand opening of the school snack bar. Students use rations to figure out the need and quantity...
Lesson Plan
Curated OER

Get Geared Up

For Teachers 9th - 11th
Middle schoolers calculate gear ratio as they solve word problems. They discuss and find slopes as they relate to real life. Additionally, they hey use ratio and proportion to make predictions and solve problems.
Lesson Plan
Curated OER

Class of Gold

For Teachers 6th - 9th
How can you see a number in nature? Here, learners discover both Fibonacci numbers and the golden ratio by exploring a number of different resources.  Note: Some of the resources are older and may be missing some of the links, but...
Lesson Plan
Curated OER

Exploring Similarity Using Scale Drawings

For Teachers 10th
Learners explore scale factor as they create a scale drawing of a box, then determine the surface area and volume of the original and the scale drawing. The one page worksheet contains activities and procedures with four questions....
Lesson Plan
Cornell University

Splitting Water with Electricity

For Students 9th - 12th
Explore how electricity splits water molecules into hydrogen and oxygen. Learners begin by calculating the voltage necessary to separate the water. They then perform the experiment and measure the ratio of hydrogen and oxygen bubbles.
Lesson Plan
Bowland

Water Availability

For Teachers 6th - 8th
Just how scarce is water in different parts of the world? Through these water lessons, young data analysts use provided data to investigate the scarcity of water in countries of the Middle East and Africa. They use ratios and rates to...
Lesson Plan
Teach Engineering

Discovering Relationships Between Side Length and Area

For Students 9th - 12th Standards
Consider the relationship between side length and area as an input-output function. Scholars create input-output tables for the area of squares to determine an equation in the first installment of a three-part unit. Ditto for the area of...
Lesson Plan
EduGAINs

Discovery of Pi

For Teachers 8th Standards
Serve up a slice of math for Pi Day! A combination of fun, hands-on lessons and helpful worksheets encourage learners to practice finding the radius, diameter, and circumference of different circles.
Lesson Plan
Curated OER

The Shadow Knows - Measuring Other Students

For Teachers 8th
Eighth graders measure height and shadow length of other students on a sunny day and develop a ratio. They apply the ratio to other students and objects using shadows to determine height.
Lesson Plan
Curated OER

The Shadow Knows - Measuring A Telephone Pole

For Teachers 3rd
Third graders attempt to determine the height of a telephone pole or tree without climbing to the top.