Achieve
Rabbit Food
Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...
Mascil Project
Container Logistics
Here's a creative lesson that lets pupils be creative as well! While considering many different factors, learners devise a plan to increase the efficiency of container shipments. The design of the activity encourages creative,...
Achieve
Ivy Smith Grows Up
Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.
EngageNY
Modeling with Inverse Trigonometric Functions 1
Where should I stand to get the best view? Pupils use inverse trigonometric functions to determine the horizontal distance from an object to get the best view. They round out the lesson plan by interpreting their answers within context.
California Mathematics Project
For the Birds
It turns out math IS for the birds! Here, learners use mathematical reasoning to determine how often someone needs to fill a bird feeder. The rate the feeder empties varies by the number of holes that are available to the birds. Day two...
Concord Consortium
Bill the Ball Bearing Man
Just how durable could a hollow ball bearing be? Learners model the strength of the walls of a ball bearing as a function of the radius of its cavity. They use their models to make reasonable conclusions about the probability of failure...
5280 Math
Interesting Times
Gain a little interest in functions with a real-life task. Young scholars analyze home loan data with a geometric sequence and series. They use the models to make predictions about the total loan payments at certain intervals in a useful...
Curated OER
Defining Division
Upper graders explore division through fair-shares. They will review fair shares and fractions as a segway into division. They start by playing "Share Fairly" game and create mathematical arguments for solving problems. Manipulatives and...
Mathalicious
XBOX Xpotential
Touchdown! This is an exponentially insightful instructional activity that explores the growth of football games with different video game consoles. Class members discuss whether the increase of mergahertz can be described as linear or...
Mathematics Assessment Project
Modeling Motion: Rolling Cups
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup measurements...
EngageNY
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
EngageNY
Creating Division Stories
Create your own adventure story ... well, not really. The fifth lesson in a 21-part series has pairs create story contexts for division problems. The lesson presents a step-by-step process for pupils to follow in writing such stories.
Mathalicious
The Fall of Javert
Falling off a bridge might not sound like your idea of a good math problem, but incorporating the final scene of Les Misérables is sure to spark interest. The goal is to use the time Javert fell off the bridge to determine how high he...
Curated OER
Mathematical Modeling and constant Rate Equations
In this rates learning exercise, students solve five story (word) problems related to rate and time. In two of the problems students are directed to create a graph of the problem.
EngageNY
Analyzing a Data Set
Through discussions and journaling, classmates determine methods to associate types of functions with data presented in a table. Small groups then work with examples and exercises to refine their methods and find functions that work to...
Curated OER
Modeling Mania Math Topic: Using Models
Young scholars examine problem solving techniques when working on spatial problems. They discover how models, sketches, and drawings can be used to understand on something works. They design a model of a bridge using given dimensions and...
EngageNY
Tides, Sound Waves, and Stock Markets
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions.
EngageNY
Analyzing Residuals (Part 1)
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...
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.
EngageNY
The Division of Polynomials
Build a true understanding of division of polynomials. Learners use their knowledge of multiplying polynomials to create an algorithm to divide polynomials. The area model of multiplication becomes the reverse tabular method of division.
EngageNY
Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways
Need a real scenario to compare functions? This lesson has it all! Through application, individuals model using different types of functions. They analyze each in terms of the context using the key features of the graphs.
PBS
Adventures With The Fish Pond: Population Modeling
Build up from the previous activity where your learners charted the population growth and decay of a fish pond with M&Ms®. Have them look at the data from that activity and create a Now-Next, or recursive equations, to predict the...
Alabama Learning Exchange
Ice Fishing is for the Birds
Approach addition with young mathematicians in an engaging way through this penguin-inspired activity. In small groups, scholars think about times they have used addition in their real lives (there are some suggestions given), then watch...
PBL Pathways
Arch Project
Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...