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Illustrative Mathematics
Logistic Growth Model, Abstract Version
Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense...
Illustrative Mathematics
How Many Containers in One Cup / Cups in One Container?
The object is to model fraction division by asking “How many are in one group?” It is a difficult concept to understand, but developing the model that shows one cup to a certain amount of container or one container to a certain amount of...
Illustrative Mathematics
Do Two Points Always Determine a Linear Function?
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
MENSA Education & Research Foundation
Pi Day Fun!
In this multi-faceted introduction to pi, participants perform a bevy of pi-related activities. Ranging from measuring household items to singing pi songs and reading pi stories, this fun and non-intimidating resource serves to bring up...
Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
Illustrative Mathematics
Computing Volume Progression 1
Finding the volume of a right rectangular prism is the focus of the resource. Worksheet includes a drawing of a cube to help learners visualize the concept. Young geometers will learn that as the side length increases, so does the...
PBL Pathways
Medical Insurance
Design a plan for finding the best health insurance for your money. Learners compare two health plans by writing and graphing piecewise functions representing the plan rules. Using Excel software, they create a technical report...
Colorado State University
What Causes Pressure?
Are you feeling the pressure? Let loose a little with a kinesthetic activity that models molecular motion in a closed space! The activity varies conditions such as volume and temperature and examines the effects on molecules.
DiscoverE
Arts and Engineering Activity Packet: Grades 3-5
Art and science sometimes go hand in hand. A set of four activities for learners in grades 3-5 teaches engineering concepts as part of art projects. Class members build homemade robots, elastic puppets, musical instruments, and...
GLOBE Program
Calculating Relative Air Mass
Combine math and science with fun in the sun! Scientists build a solar gnomon using reusable materials to calculate relative air mass. Mathematicians measure the pole's shadow and use the data to solve for relative air mass....
Curated OER
Snow Day
It's a snow day, and two brothers attending schools with different schedules each got a late start to the day. But who had the shorter school day? That's what your class will find out as they apply their knowledge of fractions to this...
PBL Pathways
Total Cost to Produce the Turbo Blender
Class members blend their knowledge of functions and problem-solving skills to provide business advice to the Turbo Blender manufacturers. Through a project-based approach, learners examine marginal cost data to produce a function....
PBL Pathways
Students and Teachers 2
Examine trends in student-to-teacher ratios over time. Building from the first task in the two-part series, classes now explore the pattern of student-to-teacher ratios using a non-linear function. After trying to connect the pattern to...
PBL Pathways
Solar Toasters
Help a company maximize their profits! A detailed project-based learning activity examines two production scenarios. Your young scholars write a linear demand function. They then apply the function to develop a revenue, cost, and profit...
PBL Pathways
Doctors and Nurses
How many nurses does it take to support one doctor? A project-based activity asks learners to analyze state data to answer this question. Classes create polynomial functions from the data of doctors and nurses over a seven-year...
Howard County Schools
Planning for Prom
Make the most of your prom—with math! Pupils write and use a quadratic model to determine the optimal price of prom tickets. After determining the costs associated with the event, learners use a graph to analyze the break even point(s).
Illustrative Mathematics
Computing Volume Progression 3
Learners are given a volume of a rectangular tank and are asked to find the water height. Because the total volume of the tank is given in liters, your geometers will need to use a unit ratio to convert to centimeters cubed. The exercise...
Curated OER
Equal Differences Over Equal Intervals 2
Your algebra learners explore linear functions concretely using tables of values in a collaborative task. The idea that linear function values change by equal differences over equal intervals, is emphasized. The slope and...
DocsTeach
Two Moments in the Life of Rick Rescorla: Vietnam and 9/11
He saved a group of men under fire from the Viet Cong, and he urged those fleeing the burning Trade Center Towers on 9/11 to "be calm, be strong." Rick Rescorla was last seen going back into the twin towers to bring others to safety....
Curated OER
Culture, Race & Ethnicity
Is there a difference between culture, race, and ethnicity? In order to celebrate Harmony Day and cultural diversity, your class will brainstorm, discuss, and discover that there is. The class splits into three groups, each group is...
National Nanotechnology Infrastructure Network
An Easy (Bake) Approach to an Edible NanoLab
You can make it if you bake it! Young scientists model electronic chip fabrication with an easy bake oven. They create a design to embed in their brownie "chips" and compare their models to wafer production in basic nanotechnology.
Teach Engineering
Human Power
How many humans does it take to power a light bulb? The 10th part of a 25-lesson Energy Systems and Solutions unit has learners conduct an experiment to calculate power. They then use the results to determine how many classmates they...