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EngageNY
Unknown Area Problems on the Coordinate Plane
Scholars determine distances on the coordinate plane to find areas. The instructional activity begins with a proof of the formula for the area of a parallelogram using the coordinate plane. Pupils use the coordinate plane to determine...
Curated OER
Looking at Circumference
Students understand where the number for pi comes from. They understand and use the formula for circumference. Students measure the circles given out and the diameters of those circles and record the results on their worksheet.
Illustrative Mathematics
Paper Clip
With minimal setup and maximum freedom, young geometers are encouraged to think outside the box on a seemingly simple application problem. Though the task seems simple, measuring a given paper clip and finding how many 10 meters can...
EngageNY
The Scaling Principle for Area
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal.
Illustrative Mathematics
Hexagonal Pattern of Beehives
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Teach Engineering
Measuring Viscosity
Groups use a marble to determine the viscosity of household fluids. The procedure calls for pupils to measure the amount of time it takes a marble to fall a specified distance in the fluids. Using unit conversions and algebra, the teams...
K20 LEARN
Chicken Truck: Writing Algebraic Expressions
How did the chicken travel down the road? Given a picture of a chicken truck, class members brainstorm what information they need to determine the total number of chickens on the truck. Pupils research for the information and devise a...
Curated OER
Drawing to Scale
Learners examine the process of drawing a picture to scale. They analyze and discuss real-life blueprints for a house, and create a scale drawing of an original invention using calculators and rulers.
EngageNY
Getting a Handle on New Transformations 1
In the first of a two-day lesson on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding...
EngageNY
Real-World Volume Problems
How long does it take to fill a typical swimming pool? Prepare your pupils to answer similar questions using the 28th lesson in the 29-part module. The engaging lesson asks individuals to solve problems connected to the flow rate. All...
Radford University
Down on Sue's Farm
When would a farmer use math? Class members work through five tasks on a farm that require knowledge of surface area, volume, and determining regression equations. The challenges range from figuring out the amount of paint to buy,...
Flipped Math
Unit 9 Review: Area of Polygons
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
Commonwealth of Pennsylvania
Density Worksheet
Find the mass, volume, and density in five different equations with a straightforward worksheet. Each equation prompts kids to work through word problems of varying difficulty and to find the necessary measurement using different formulas.
Teach Engineering
Viscous Fluids
Elasticity and viscosity. Help your class understand the similarities and differences with an introduction to viscous fluids. After describing four types of fluid behaviors: shear thinning, shear thickening, Bringham plastic,...
Virginia Department of Education
Going the Distance
Estimate the value of one of the most famous irrational numbers. The hands-on instructional activity instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.
Illustrative Mathematics
Area of a Trapezoid
Here is a straightforward example of how to apply the Pythagorean Theorem to find an unknown side-length of a trapezoid. Commentary gives additional information on proving that the inside of the trapezoid is a rectangle, but is...
Money Math for Teens
Debt Elimination - Power Tools for Building Wealth
What does it mean to be wealthy? Your learners will consider how carrying debt affects budgeting, and learn about the debt snowball strategy and how is it used in the concept of eliminating debt in order to build wealth.
Teach Engineering
A Shot Under Pressure
You've got to pump it up! Using the equations for projectile motion and Bernoulli's Principle, class members calculate the water pressure in a water gun. The pupils collect data on the number of pumps and distance traveled in order...
Willow Tree
Weighted Averages
Mixtures, weighted percentages, and varying speeds make problem solving difficult. The resource give learners a strategy for tackling these types of problems effectively.
Chicago Botanic Garden
GEEBITT (Global Equilibrium Energy Balance Interactive TinkerToy)
Students use the GEEBITT excel model to explore how global average temperatures are affected by changes in our atmosphere in part two of this series of seven lessons. Working in groups, they discuss, analyze graphs, and enter data to...
Bowland
Hot Under the Collar
It is close enough for all practical purposes. Pupils see two methods to convert degrees Celsius to degrees Fahrenheit, one with exact numbers and another using estimation. Learners review both methods and determine when the estimation...
EngageNY
Truncated Cones
Learners examine objects and find their volumes using geometric formulas in the 21st installment of this 25-part module. Objects take the shape of truncated cones and pyramids, and individuals apply concepts of similar triangles to find...
EngageNY
Evaluating Reports Based on Data from a Sample
Statistics can be manipulated to say what you want them to say. Teach your classes to be wise consumers and sort through the bias in those reports. Young statisticians study different statistical reports and analyze them for...
EngageNY
The Slope of a Non-Vertical Line
This lesson introduces the idea of slope and defines it as a numerical measurement of the steepness of a line. Pupils then use the definition to compare lines, find positive and negative slopes, and notice their definition holds for...