EngageNY
The Decimal Expansion of Some Irrational Numbers
Develop a definition of irrational numbers through an exploration of square roots. The 11th lesson in this series of 25 asks scholars to estimate the value of a square root. Learners observe as the estimation extends further and further...
EngageNY
Comparing Irrational Numbers
Build on your classes' understanding of irrational numbers by comparing their values. The 13th lesson plan in the 25-part module has individuals estimate values of both perfect and non-perfect roots. They finish by graphing these numbers...
EngageNY
Estimating Digits in a Quotient
Boiling down any division problem to a one-digit divisor problem sure makes estimation easy. The lesson shows how to estimate division problems by using place value understanding and basic arithmetic facts to simplify the division. Some...
Exploratorium
Handy Measuring Ratio
Your hand can be a handy tool for measurement. Young mathematicians learn how to estimate the height of objects by applying similarity. They find the horizontal distance from the object where spreading their outstretched fingers results...
American Statistical Association
Scatter It! (Predict Billy’s Height)
How do doctors predict a child's future height? Scholars use one case study to determine the height of a child two years into the future. They graph the given data, determine the line of best fit, and use that to estimate the height in...
Curated OER
Hazards of Defrosted Food
Peas spoilage hot, peas spoilage cold: examine the bacterial growth on newly defrosted peas versus peas that have been defrosted for 24 hours. Using the session one questions in the "Microbes and Food Spoilage" PDF, learners will make...
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
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...
NOAA
History's Thermometers
How is sea coral like a thermometer? Part three of a six-part series from NOAA describes how oceanographers can use coral growth to estimate water temperature over time. Life science pupils manipulate data to determine the age of corals...
Curated OER
Estimation and Approximation
For this estimation and approximation worksheet, students determine the estimated value of given multiplication and division problems containing decimals. They round answers to the nearest whole number. This two-page worksheet contains...
Curated OER
Map Studies - Estimate And Measure Distance
First graders explore estimating and measuring distances. They analyze and discuss a map of New York State, make estimations, measure distances using yarn, and calculate total distances between cities on the map.
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 by...
Curated OER
Math Series
Even though this activity is just a simple review of estimation, it is a fast and easy way to explore this topic. Young mathematicians estimate the number of items contained in two jars and discuss their answers. Afterwards, they can use...
Curated OER
Least Squares
For this least squares worksheet, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the slope and...
Curated OER
Worksheet 27 - Functions
In this function worksheet, students sketch the graph of a nonzero function, estimate the value of an infinite sum, and determine the derivative and slope of functions. This one-page worksheet contains approximately 6 multi-step problems.
Curated OER
Capture/Recapture
Middle schoolers use proportions to estimate the size of populations. They describe the data with using a graph or table of the estimate. Students use descriptive statistics to calculate mean, median, and mode. They also compare and...
Curated OER
Telling Time as an Everyday Use of Numbers
How can we estimate time? Have your young mathematicians make a clock. Then they compare and contrast types of clocks. They practice writing times in two different ways and make a book about telling time.
Curated OER
Does Sunlight Effect Leaf Size?
Students make estimates and then measure leaves for accuracy. They calculate the area of the leaves by drawing an outline on graph paper and counting the squares. They compare the leaves exposed to sunlight to those that are in constant...
Curated OER
Estimating Solutions
Finding approximate solutions to word problems allows users to assess the reasonableness of their answers. In a well-paced lesson, the class rounds numbers to estimate the solutions. They explain their thinking and determine if the...
Curated OER
Mitosis And the Cell Cycle
Students determine the approximate time a cell spends in each phase of mitosis by counting cells in each phase from a prepared slide. They use a few simple calculations to estimate how long cells spend in each cycle in the body.
Curated OER
Worksheet 30 - Intervals
In this interval worksheet, students divide functions into intervals. They computer the upper and lower sums for the partition. This two-page worksheet contains approximately eight multi-step problems.
Curated OER
Exploration 1: Instantaneous Rate of Change Function
In this function worksheet, students read word problems and write functions. They determine the instantaneous rate of change and identify intervals. This three-page worksheet contains approximately 20 problems.
Curated OER
Cylinder Volume Lesson Plan
Tenth graders define the formula for cylinders and use it to solve real world problems. In this geometry lesson plan, pupils differentiate between area, perimeters, 2D shapes, 3D shapes, and volume of prisms, cylinders and spheres. They...
Curated OER
Using Proportions to Solve Problems
Skittles and math? Pupils will work as a class to determine how many orange Skittles are in a large bag by using proportions. They will problem solve, estimate, and share their thinking. Then, they will each receive a small bag of...