EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
Curated OER
Exponential Functions
Your algebra learners analyze and interpret the general form and the graph of two functions. The increase of the function due to the multiplicative factor is emphasized.
Illustrative Mathematics
Chicken and Steak, Variation 2
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
Baylor College
Body Mass Index (BMI)
How do you calculate your Body Mass Index, and why is this information a valuable indicator of health? Class members discover not only what BMI is and practice calculating it using the height and weight of six fictitious individuals, but...
Howard County Schools
Drawing Inverses
An Algebra II instructional activity draws the connection between the exponential function and its inverse. By graphing an exponential function and using tables and a calculator, learners graph the logarithmic function. The plan comes...
Santa Barbara City College
How to Make a Multiplication Table
Teach children how to make a multiplication table, and they'll be multiplying for life. Following this series of steps, young mathematicians learn to use patterns and the relationships between numbers to create their very own...
EngageNY
Federal Income Tax
Introduce your class to the federal tax system through an algebraic lens. This resource asks pupils to examine the variable structure of the tax system based on income. Young accountants use equations, expressions, and inequalities to...
5280 Math
Step by Step
One step at a time! A seemingly linear relationship becomes an entirely new type of function. Young scholars build their understanding of step functions by completing a three-stage activity that incorporates multiple representations of...
Federal Reserve Bank
FRED in the Classroom: Debt and Deficit
Here is a hands-on activity where your class members will discover different ways to measure the government's financial situation and work to add data and redraw graphs in order to calculate the ratio of gross federal debt held by the...
Laboratory for Atmospheric and Space Physics
Growing Up With A Mission
New Horizons began its journey to Pluto in 2006. Ten years later, it continues its mission. In that time, scholars have surely grown, but how much more will they grow by the time New Horizons reaches its destination? Find out with an...
EngageNY
Searching a Region in the Plane
Programming a robot is a mathematical task! The activity asks learners to examine the process of programming a robot to vacuum a room. They use a coordinate plane to model the room, write equations to represent movement, determine the...
Teach Engineering
Energy on a Roller Coaster
Roll with your class into the idea of conservation of energy. Pupils use a roller coaster track to collect data to reinforce the concept of conservation of energy and the influence of friction. Class members then create a graph from...
Teach Engineering
Preconditioning Balloons: Viscoelastic Biomedical Experiments
What does stretching a balloon have to do with equilibrium? Groups explore preconditioning by stretching a balloon to a point of equilibrium. They then measure the amount of force required to stretch the balloon to the same point several...
Bowland
Fruit Pies
Scholars use formulas for the area of a circle and the area of a rectangle to determine the number of pies a baker can make from a particular area of dough. They must also take into account rolling the remaining dough into a new sheet.
EngageNY
Multi-Step Problems in the Real World
Connect graphs, equations, and tables for real-world problems. Young mathematicians analyze relationships to identify independent and dependent variables. These identifications help create tables and graphs for each situation.
UAF Geophysical Institute
Carbon Footprint
Your young environmentalists can calculate their carbon footprint and discuss ways to reduce it with a worksheet about climate change. After reading a handout about what impact one's carbon footprint can have on the environment, kids...
Noyce Foundation
Lawn Mowing
This is how long we mow the lawn together. The assessment requires the class to work with combining ratios and proportional reasoning. Pupils determine the unit rate of mowers and calculate the time required to mow a lawn if they work...
Statistics Education Web
When 95% Accurate Isn’t
Investigate the effect of false positives on probability calculation with an activity that asks scholars to collect simulated data generated by a calculator. To finish, participants analyze the probability of certain outcomes which lead...
EngageNY
Mid-Module Assessment Task - Algebra 1 (module 2)
A mid-module assessment uses two multi-part questions to measure progress toward mastery on descriptive statistics standards. Each part of a question addresses a single standard to help determine mastery.
EngageNY
Building Logarithmic Tables
Thank goodness we have calculators to compute logarithms. Pupils use calculators to create logarithmic tables to estimate values and use these tables to discover patterns (properties). The second half of the instructional activity has...
PBL Pathways
Medical Insurance 3
Create a technical report explaining the components of a medical plan through a function. The project-based learning activity gives a medical insurance scenario that young mathematicians model using piecewise functions. Their analyses...
Colorado State University
If You Can't Predict the Weather, How Can You Predict the Climate?
Why is the weather man wrong so often? Young climatologists discover how chaos rules both weather and climate through a math-based activity. Using an iterative equation, the class examines how small day-to-day weather events total up to...
Concord Consortium
Outward Bound
Just how far can I see? The short assessment question uses the Pythagorean Theorem to find the distance to the horizon from a given altitude. Scholars use the relationship of a tangent segment and the radius of a circle to find the...
EngageNY
Comparison Shopping—Unit Price and Related Measurement Conversions II
Which rate is greater and by how much? Pupils continue to compare rates to solve problems in the 20th portion of a 29-part series. Rates are presented in a variety of representations either using the same representation or different...