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Federal Reserve Bank
The Output Gap: A‘Potentially’ Unreliable Measure of Economic Health?
How can we accurately estimate what the economy should produce now and in the future? Have your pupils tackle this question as they learn about real versus potential GDP and as they review data regarding the output gap in...
Illustrative Mathematics
Solar Eclipse
Learners take on the role of astronomers, calculating conditions necessary for a total solar eclipse. Concepts of similar triangles and properties of circles come together as pupils create ratios and use real measurements in determining...
E Reading Worksheets
Context Clues Vocabulary Builder Activity
Reading comprehension improves when you can use context clues to define unfamiliar words. Help your kids practice using context clues with a worksheet that provides space for seven sentences with new words, as well as a place for kids to...
Liberty Union-Thurston
Equivalent Fractions
The next lesson in a math series builds off the previous one in which learners estimated fraction amounts using fraction bars. Here, pupils view equivalent fractions with unlike denominators using fraction bars. Lastly,...
Houghton Mifflin Harcourt
Unit 2 Math Vocabulary Cards (Grade 3)
A set of third grade math vocabulary cards include topics that range from addition properties to terms like estimate and fact family. Each sheet has two cards on it. The top half is the word printed in bold text,...
Charleston School District
Evaluation of Roots
You mean the square root of five and five don't have the same value? Learners estimate the value of irrational roots. As they practice estimating the value, they increase their understanding of roots. The lesson is the fourth in a series...
Curated OER
Dental Impressions
What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....
Mathematics Assessment Project
Sampling and Estimating: Counting Trees
Your task today: count all the trees on a tree farm. To complete the assignment, learners first estimate the number of trees on a tree farm using random sampling. To improve their own response they then evaluate provided...
Curated OER
Sunrise, Sunset
What locations on Earth get the longest number of hours of daylight in the summer? Hint: It's not the equator! Use real-world sunrise and sunset data to develop trigonometric models that can be used to estimate the number of hours of...
Mathematics Assessment Project
Matchsticks
How many matchsticks can be made from a single tree? That is the problem facing middle schoolers. Scholars first determine the volume of a matchstick given its dimensions, and then use this information to estimate the number of...
Rainforest Alliance
Trees and Carbon
You'll find everything but the kitchen sink here ... or just a carbon sink. In the activity, pairs or groups of middle school learners go outside and measure a tree's circumference and height to estimate its carbon storage potential and...
Bowland
The Z Factor
Young mathematicians determine the number of hours it would take judges of the "Z Factor" television talent show to watch every act. Participants make estimates and assumptions to solve the problem.
Teach Engineering
Concentrating on the Sun with PVs
Concentrate to determine the best reflector design. Pairs use the engineering design process to build a reflector to increase the current output of a photovotaic panel. Teams arrive at a final design and present it to the class along...
California Mathematics Project
Meteorology
See how estimation is essential to making temperature weather maps. Scholars use ratios and rates of change to estimate temperatures at locations where temperature readings have not been made. They connect this idea to linear functions.
McGraw Hill
Extra Solar Planets Interactive
Studying what you can't see can be challenging. Discover how scientists use indirect measurements to prove the existence of planets and estimate their sizes. The introduction explains the symbiotic movement of planets and stars during an...
Virginia Department of Education
Going the Distance
Estimate the value of one of the most famous irrational numbers. The hands-on lesson instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.
CK-12 Foundation
Square Roots and Irrational Numbers: Estimating Radicals
Try out a resource using triangles to estimate radicals. An interactive app allows learners to approximate some irrational numbers involving square roots. They find the two consecutive numbers that an irrational number lies between...
CK-12 Foundation
Distance Between Two Points: Biking the Blocks
Distance estimates would be easy if the world were a grid. Scholars work to determine the distance between two structures using a coordinate plane. As an introduction, the lesson focuses on vertical and horizontal distances.
CK-12 Foundation
Sampling Distribution of a Sample Mean: The Mean of the Average Ages
What does it mean to take the mean of the mean? An easy-to-use interactive has users adjust the mean ages of different samples. Finding the average of these sample means gives an estimate of the population mean.
CK-12 Foundation
Tangent Line Approximation: Estimating Square Roots
Estimating a square root is as easy as evaluating a linear equation. Using the derivative of the square root function, pupils calculate an estimation of square roots. Class members determine the equation of the tangent line at the value...
CK-12 Foundation
Trapezoidal and Midpoint Approximations: Area of a Skirt
When are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...
CK-12 Foundation
Length of a Plane Curve
Challenge your class to use straight lines when estimating the length of a curve. An engaging interactive allows individuals to place line segments one after another along the arc. Learners determine that the more lines used, the better...
DiscoverE
Friction in Action
There's no need to have friction among instructors regarding the resource. Pupils investigate how marbles and coins slide along different surfaces which gives them information to estimate coefficients of friction.
Teach Engineering
Messin' with Mixtures
Do you separate your trail mix before eating it? Then you've been separating mixtures your whole life! Scholars model a contaminated soil sample using trail mix and estimate the percentage of each component. They consider how to clean up...
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