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PBL Pathways
Students and Teachers
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...
University of Las Vegas
Heart Rate and Physical Activity
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...
Radford University
How do I Create a Scaled Model of a Full-Sized Basketball Court?
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...
EngageNY
Analytic Proofs of Theorems Previously Proved by Synthetic Means
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....
Port Jefferson School District
Climate Patterns
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...
Curated OER
Finding the Area Under A Curve with Random Probability
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...
Curated OER
Ratios
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.
Curated OER
How are Trig Ratios Used to Measure Triangle Sides
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.
Curated OER
Is Bigger Always Better?
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...
Curated OER
Discovering Pi/Welcome to Pi Day
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...
Curated OER
Using Ratios to Taste the Rainbow
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.
Curated OER
Surface Area to Volume Ratio
Students examine the surface area to volume ratio and how they relate. In this surface area activity students complete several activities.
Curated OER
Ratios
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.
Curated OER
Ratio Relationships
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.
Curated OER
The Snack Bar
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...
Curated OER
Get Geared Up
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.
Curated OER
Class of Gold
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...
Curated OER
Exploring Similarity Using Scale Drawings
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....
Cornell University
Splitting Water with Electricity
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.
Bowland
Water Availability
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...
Teach Engineering
Discovering Relationships Between Side Length and Area
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...
EduGAINs
Discovery of Pi
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.
Curated OER
The Shadow Knows - Measuring Other Students
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.
Curated OER
The Shadow Knows - Measuring A Telephone Pole
Third graders attempt to determine the height of a telephone pole or tree without climbing to the top.