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...
EngageNY
Summarizing Deviations from the Mean
Through a series of problems, learners determine the variability of a data set by looking at the deviations from the mean. Estimating means of larger data sets presented in histograms and providing a way to calculate an...
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...
EngageNY
Distributions—Center, Shape, and Spread
Data starts to tell a story when it takes shape. Learners describe skewed and symmetric data. They then use the graphs to estimate mean and standard deviation.
EngageNY
Irrational Exponents—What are 2^√2 and 2^π?
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
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...
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 lesson plan has scholars use...
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...
EngageNY
The Decimal Expansion of Some Irrational Numbers
Develop a definition of irrational numbers through an exploration of square roots. The 11th instructional activity in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends...
EngageNY
Comparing Irrational Numbers
Build on your classes' understanding of irrational numbers by comparing their values. The 13th instructional activity in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing...
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.
EngageNY
Why Worry About Sampling Variability?
Are the means the same or not? Groups create samples from a bag of numbers and calculate the sample means. Using the sample means as an estimate for the population mean, scholars try to determine whether the difference is real or not.
EngageNY
Understanding Variability When Estimating a Population Proportion
Estimate the proportion in a population using sampling. The 20th installment in a series of 25 introduces how to determine proportions of categorical data within a population. Groups take random samples from a bag of cubes to determine...
EngageNY
Using Sample Data to Compare the Means of Two or More Populations
Determine whether there is a difference between two grades. Teams generate random samples of two grade levels of individuals. Groups use the mean absolute deviation to determine whether there is a meaningful difference between the...
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...
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