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Introduction to Exponential Functions
This lesson begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task. Data tables are...
Willow Tree
Circle Graphs
Pie isn't just for eating! Scholars learn to create pie charts and circle graphs to represent data. Given raw data, learners determine the percent of the whole for each category and then figure out the degree of the circle that percent...
PBS
The Lowdown — Living Wages in CA: Ratio and Rate in the Real World
How much money is enough money? Future wage earners explore the minimum hourly wage and then use it to calculate monthly and yearly earnings. They use an interactive to consider living costs and determine whether earning a minimum wage...
Beyond Benign
Plastic Bags
Paper or plastic? Explore the environmental effects of using plastic bags through mathematics. Learners manipulate worldwide data on plastic bag consumption to draw conclusions.
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...
Balanced Assessment
Solar Elements
Let your brilliance shine like the sun. Future mathematicians and scientists consider given data on the abundance of different elements in the sun. The assessment task requires consideration of how these different abundances relate to...
EngageNY
Ratios II
Pupils continue the study of ratios by creating ratios from a context. The contexts present more than two quantities, and scholars create contexts that match given ratios.
Curated OER
Ratio Analysis
Students define ratios and how they apply in a business context. They practice ratios through an activity that involves financial data.
Curated OER
Animal Skin
Students investigate the skin surface to body area ratios for different animals. In this seventh/eighth grade mathematics/science lesson plan, students explore heat transfer between an animal’s body and the environment. Using...
Curated OER
What's My Pattern?
Students recognize, describe and extend patterns in three activities. They organize data, find patterns and describe the rule for the pattern as well as use the graphing calculator to graph the data to make and test predictions. In the...
Curated OER
Taking Its Toll
Students explore ratios. In this rates instructional activity, students create a ratio to compare the price of a toll to the distance travelled. They compute the average cost per mile, determine the slope between two ordered pairs, and...
Cornell University
Density
Certain things just do not mix, including liquids of varying densities. Learners collect data to determine the densities of several liquids. They then use the density information to predict the type of liquid.
Curated OER
Integrating Gandhian Principles of Communal Unity in Mathematics
Fourth through sixth graders incorporate Gandhian principles into Math curriculum. They explore Gandhi's teachings on communal unity and economic equality. This has quite a bit of information about Gandhi and his observations and...
101 Questions
Gas Station Ripoff
Ever wonder if you can trust the pump that pumps your gas? Budding mathematicians use video evidence to analyze the cost-per-gallon ratio at different intervals for three different pumps. Their goal is to identify the pump that is...
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...
Willow Tree
Line Graphs
Some data just doesn't follow a straight path. Learners use line graphs to represent data that changes over time. They use the graphs to analyze the data and make conclusions.
Bowland
Day Out
Use mathematics to help plan a field trip. Scholars use the results of a survey to determine where a class should go on a field trip. They use provided data about entrance fees and mileage to calculate the cost per person of such a trip.
Illustrative Mathematics
Games at Recess
A great non-calculation problem that lets your math minds explore without the pressure of the right answer. Your learners will have to compare boys and girls playing soccer and jump rope during recess. How many more boys than girls are...
Curated OER
Using Random Sampling to Draw Inferences
Emerging statisticians develop the ability to make inferences from sample data while also working on proportional relationships in general. Here, young learners examine samples for bias, and then use random samples to make inferences...
Curated OER
Guess My Rule: Diversity of Learners Adaptation
Learners write equations if they change the data of the population to find patterns. They look for patterns in the data regarding male to female ratio (using the lowest possible). Students write a short story for the data that changes...
Curated OER
Horatio's Ratios
View a PBS video entitled Horatio's Drive and explore Horatio's Ratios. Collaborative learners form groups to use Mapquest to determine distances covered. They generate the mathematical averages, ratios, and rates in order to calculate...
Curated OER
The Golden Students
Scholars view the video, "Donald Duck in Mathmagic Land," and discuss examples in nature which have proportions of the golden ratio. They measure and record different body lengths from a worksheet and convert the ratios to equivalent...
Curated OER
Measure a Tree
Young mathematicians explore data collection and mathematical problem solving. They will work in cooperative groups to determine the height of a tree by measuring several predetermined distances on the ground. They will use the data...
Curated OER
Hybrid Vehicles: Cut Pollution and Save Money
Math and science meet in this lesson on hybrid electric automobiles. This 24-page resource provides everything you need for teaching a lesson that compares the use of internal combustion engines to hybrid electric engines. Participants...