Willow Tree
Solving Inequalities
What does solving an inequality have in common with solving an equation? Almost everything! A math resource focuses on the one exception. The examples lead learners through the steps of solving an equality when multiplying or...
Teach Engineering
Maximum Power Point
Investigate the maximum power output of a photovoltaic panel with a instructional activity that introduces the class to the maximum power point. Individuals learn how to determine the maximum power point of a solar panel by using Ohm's...
Clarkson University
Understanding Energy (With a Pendulum)
Have you ever wanted to play with a giant pendulum? An experiment allows small groups to do just that. They gather data and make observations as they complete the included worksheet. The lesson lays out each instruction including how...
Mathematics Common Core Toolbox
Golf Balls in Water
Here's a resource that models rising water levels with a linear function. The task contains three parts about the level of water in a cylinder in relationship to the number of golf balls placed in it. Class members analyze the data and...
Teach Engineering
Bone Density Math and Logarithm Introduction
What do logarithms have to do with bone density? Scholars learn that the equation for bone density includes logarithms. The majority of the third lesson of seven is devoted to logarithms and their properties.
Concord Consortium
In a Triangle
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.
Rice University
Calculus Volume 2
Delve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....
Arcademics
Four Wheel Fracas
A quick learning game challenges players to solve one-step addition and subtraction algebraic equations. Scholars play against several others, racing around the track in their four-wheeler, to see who can solve for a variable as fast...
Flipped Math
Addition Postulate
Add a little algebra to the geometry. Class members learn about the Addition Postulate for segments and angles. The pupils use their knowledge of solving equations to find lengths of segments and measures of angles. Individuals apply...
Illustrative Mathematics
Which Function?
Throw some logic into quadratics and see if learners can match a vague graph to multiple equations. Young mathematicians must look at quadrant location, vertices, and intercepts to best match the graph to one or more equations.
University of Utah
Integer Exponents, Scientific Notation and Volume
A one-stop resource for exponents, square and cube roots, scientific notation, and volume formulas guides learners through properties of exponents. As they learn to apply these properties to operations with scientific notation,...
West Contra Costa Unified School District
Solving Inequalities
What does translating points on a number line have to do with solving inequalities? Young mathematicians first learn about translations of points on a number line, and then use this information to solve linear inequalities in one variable.
CK-12 Foundation
Problem-Solving Models: Subway vs. Taxi
Ride to success in understanding systems of equations. Scholars graph a system of equations on the cost of a subway and a taxi using an interactive. Using this graph allows users to answer some questions about the situation.
Radford University
Saving the US from a Missile Crisis
Mathematically shoot down an incoming missile. Given information about the Cuban Missile Crises, learners calculate the equation of the trajectory of an imaginary missile launched from Cuba toward Washington, D.C. Scholars determine the...
BW Walch
Solving Linear Inequalities in Two Variables
Although graphing a linear inequality on the plane is but a few steps added onto the graphing of a linear equation, for many learners the logical leap is quite intimidating. This approachable PowerPoint presentation breaks graphing...
Charleston School District
Intro to Functions
How are functions related to chicken nuggets? A video teaches the concept of a function using the idea of a nugget-making machine as an analogy for a function machine. Learners determine if a relation is a function from an equation...
Balanced Assessment
A Loud Noise
In a scale measuring noise, an increase in 10 dB is a 10 time increase in power. Mathematicians examine the data graph of a real world exponential growth, with no logarithmic scale, and then create two equations relating the...
GeoGebra
Pet Sitters Feasible Region
Find the best way to maximize the profit. Pupils graph four constraints of a pet-sitting company, using a revenue equation to find a maximum amount the sitters can earn. By using the equation, scholars determine the number of cats and...
Desmos
Desmos Graphing Calculator
They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....
101 Questions
Coke Jacuzzi System of 3
Can you determine the exact volume of a bottle based on the relative volume of other bottles? A series of four videos shows someone pouring fluid into bottles. Scholars must set up a system of equations to determine how much each bottle...
101 Questions
Boat in the River
Ever feel like you're headed up the down escalator? Don't let your pupils get stuck in that rut! Practice writing equations to solve a problem using an engaging lesson. A video presents information that allows learners to determine how...
Concord Consortium
Going Up
Going on up—and up and up! An open-ended task asks learners to model the movement of an amusement ride with parametric equations. They then analyze their equations to determine how the shadow of the ride's car moves as it rises at a...
Concord Consortium
It's In the Mail
It's time to check the mail! The task is to determine the most cost-effective way to mail a packet of information. Young scholars write an equation that models the amount of postage as a function of the number of sheets mailed and...
CCSS Math Activities
Smarter Balanced Sample Items: 7th Grade Math – Claim 4
Build the model right out of the box. A few sample items show teachers how Smarter Balanced assessments may approach Claim 4, modeling and data analysis. Pupils use their skills to create equations or expressions to model the situation...