Unit Plan
Buffalo State

A Five Day Approach to Using Technology and Manipulatives to Explore Area and Perimeter

For Teachers 3rd - 6th Standards
Young mathematicians build an understanding of area and perimeter with their own two hands in a series of interactive geometry lessons. Through the use of different math manipulatives, children investigate the properties of...
Lesson Plan
EngageNY

Making Scale Drawings Using the Ratio Method

For Students 9th - 10th Standards
Is that drawn to scale? Capture the artistry of geometry using the ratio method to create dilations. Mathematicians use a center and ratio to create a scaled drawing. They then use a ruler and protractor to verify measurements. 
Lab Resource
Pingry School

Scientific Notation and Calculations – Energies, Frequencies, and Wavelengths of Photons

For Students 9th - 12th Standards
The calculator has an interesting way of displaying numbers in scientific notation, but don't let that confuse your pupils! A lesson designed to give learners practice with scientific notation and calculators provides several practice...
Lesson Plan
EngageNY

Solving Problems Using Sine and Cosine

For Students 9th - 10th Standards
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles....
Lesson Plan
EngageNY

Calculating Probabilities of Events Using Two-Way Tables

For Students 10th - 12th Standards
Tables are useful for more than just eating. Learners use tables to organize data and calculate probabilities and conditional probabilities. 
Lesson Plan
EngageNY

Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables (part 1)

For Students 10th - 12th Standards
Being a statistician means never having to say you're certain! Learners develop two-way frequency tables and calculate conditional and independent probabilities. They understand probability as a method of making a prediction. 
Lesson Plan
Virginia Department of Education

Calculating Measures of Dispersion

For Teachers 10th - 12th Standards
Double the fun — calculate two measures of deviation. The lesson plan provides information to lead the class through the process of calculating the mean absolute deviation and the standard deviation of a data set. After learning how to...
Lesson Plan
EngageNY

Calculating Conditional Probabilities and Evaluating Independence Using Two-Way Tables (part 2)

For Students 10th - 12th Standards
Without data, all you are is another person with an opinion. Show learners the power of statistics and probability in making conclusions and predictions. Using two-way frequency tables, learners determine independence by analyzing...
Lesson Plan
EngageNY

Using Expected Values to Compare Strategies

For Teachers 11th - 12th Standards
Discover how mathematics can be useful in comparing strategies. Scholars develop probability distributions for situations and calculate expected value. They use their results to identify the best strategy for the situation.
Lesson Plan
EngageNY

Using a Curve to Model a Data Distribution

For Teachers 9th - 12th Standards
Show scholars the importance of recognizing a normal curve within a set of data. Learners analyze normal curves and calculate mean and standard deviation.
Lesson Plan
EngageNY

Using Permutations and Combinations to Compute Probabilities

For Teachers 11th - 12th Standards
Now that we know about permutations and combinations, we can finally solve probability problems. The fourth installment of a 21-part module has future mathematicians analyzing word problems to determine whether permutations or...
Handout
West Contra Costa Unified School District

Using Derivatives to Graph Polynomials

For Teachers 11th - Higher Ed
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...
Lesson Plan
EngageNY

Using Sample Data to Estimate a Population Characteristic

For Students 10th - 12th Standards
How many of the pupils at your school think selling soda would be a good idea? Show learners how to develop a study to answer questions like these! The lesson explores the meaning of a population versus a sample and how to interpret the...
Lesson Plan
EngageNY

Using Linear Models in a Data Context

For Teachers 8th Standards
Practice using linear models to answer a question of interest. The 12th installment of a 16-part module combines many of the skills from previous lessons. It has scholars draw scatter plots and trend lines, develop linear models, and...
Lesson Plan
Illustrative Mathematics

Using Benchmarks to Compare Fractions

For Teachers 3rd - 5th Standards
Introduce a new strategy for comparing fractions by analyzing Melissa's use of benchmarks. Walk the class through her process, calling on students to explain their understanding of each step she took. Then practice this method on two...
Lesson Plan
EngageNY

Why Are Vectors Useful? 1

For Teachers 11th - 12th Standards
How do vectors help make problem solving more efficient? Math scholars use vectors to represent different phenomenon and calculate resultant vectors to answer questions. Problems vary from modeling airplane motion to the path of a...
PPT
Curated OER

Equilibrium Calculations

For Teachers 9th - 12th Standards
The equilibrium constant does not change — as long as the temperature remains unchanged. Here's presentation that briefly reviews equilibrium constants  before working through four practice problems, including three calculating...
Lesson Plan
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1
EngageNY

Definition and Properties of Volume

For Teachers 9th - 10th Standards
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder. 
Interactive
Khan Academy

Challenge: Calculator

For Students 6th - Higher Ed
Calculators aren't all that useful if they don't return the correct results. In this JavaScript programming exercise, beginning JavaScript coders are guided to fix the results returned by the functions so they return correct values....
Assessment
Mathematics Assessment Project

Funsize Cans

For Students 9th - 11th Standards
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to...
Lesson Plan
EngageNY

Incredibly Useful Ratios

For Students 9th - 10th Standards
Start the exploration of trigonometry off right! Pupils build on their understanding of similarity in this lesson that introduces the three trigonometric ratios. They first learn to identify opposite and adjacent...
Lesson Plan
EngageNY

Using Trigonometry to Determine Area

For Students 9th - 10th Standards
What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...
Activity
Illustrative Mathematics

Use Cavalieri’s Principle to Compare Aquarium Volumes

For Teachers 9th - 10th Standards
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required.  From calculating the volume of a composite shape through the...
Lesson Plan
SaveandInvest.org

Introduction to Earning Interest: Middle School

For Teachers 6th - 8th Standards
Does your bank pay you for allowing them to hold your money? Class members research three different ways they can earn money using money already in the bank. Topics include certificates of deposit, statement savings accounts, and...

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