EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
EngageNY
The Computation of the Slope of a Non-Vertical Line
Determine the slope when the unit rate is difficult to see. The 17th part of a 33-part series presents a situation that calls for a method to calculate the slope for any two points. It provides examples when the slope is hard to...
Curated OER
Discovering Math: Computation
Middle schoolers add, subtract, multiply, and divide rational numbers. They find the square and the cube of numbers. They create a game incorporating computation on rational numbers. Everyone works together to write and evaluate...
Illustrative Mathematics
Extensions, Bisections and Dissections in a Rectangle
Gaining practice in translating a verbal description into a diagram and then an equation is the real point of this similar triangles exercise. Once the diagram is drawn, multiple methods are provided to reach the conclusion. An effective...
Curated OER
Snake in the Grass: Capture/Recapture Activity
Learners estimate the total number of species in Ecuador using the capture/recapture method. They collect data about each species and act as members of a science expedition to determine the total number of species by using mathematical...
Curated OER
Computing Discounts
In this computing discounts worksheet, students with a partner problem solve and calculate the answers to ten word problems and mathematical equations involving sales price, discounts, percents and decimals.
Curated OER
Volumes of Solids of Revolution (Disk Method)
Students investigate the concept of computing the volume of solids of revolution using the disk method. The activity requires some access to the Wood Shop to construct needed materials. It includes example problems for the teacher to use.
Curated OER
How Tall is that Tree?
Students apply their math skills to develop an accurate estimate of the height of a tall tree. Three different methods are outlined. All grade levels should be able to perform the shadow method and the proportional method.
Illustrative Mathematics
Discounted Books
Adolescents love to shop, especially when an item is discounted. Here, shoppers only have a set amount of money to spend. Will they be able to make a purchase with the discount and tax added in? Percent discounts can be calculated...
EngageNY
Conversion Between Celsius and Fahrenheit
Develop a formula based upon numerical computations. The 31st part of a 33-part unit has the class determine the formula to convert a temperature in Celsius to a temperature in Fahrenheit. They do this by making comparisons between the...
Curated OER
Distances Between Houses
This resource sneaks in the math so your learners will be adding and subtracting positive and negatives on a number line while thinking they are mapping out houses. The activity starts by putting houses the appropriate distance away from...
EngageNY
Computing Actual Lengths from a Scale Drawing
The original drawing is eight units — how big is the scale drawing? Classmates determine the scale percent between a scale drawing and an object to calculate the length of a portion of the object. They use the percent equation to find...
EngageNY
The Binomial Theorem
Sometimes, there is a better way. Scholars develop Pascal's triangle as a method to arrive at the coefficients of binomial expansions as an easier method to expand binomials. The learners connect the formula for binomial coefficients to...
Curated OER
Use Scientific Method to Solve Problems
Students are given a set problem, they use the scientific method to solve the problem using all steps of the scientific research. Students list the steps of the scientific method used in solving a problem. They are given a selected...
Curated OER
A Method of Front-End Arithmetic
Teach the class how to add using front-end addition. They are given a shopping list and use it to practice adding from the largest place value to the smallest. Computational math and shopping, what fun!
Curated OER
Volumes of Solids of Revolution (Shell Method)
Students find the volume of solids and disks. In this finding the volume of solids and disks lesson, students find the volume using the washer, disk, and shell method. Students integrate functions in terms of x and y. Students use...
Curated OER
Fiddle Dee Diddle - It's Time For A Riddle
Energize your math class! They will use the story problem process to solve math riddle problems. They compute and solve problems involving addition and subtraction of 3- and 4- digit numbers and basic facts of multiplication and division...
Illustrative Mathematics
Toilet Roll
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a common...
Curated OER
Nothing But Problems
Here is a fabulous lesson on problem solving in the mathematical world. In it, third and fourth graders get lots of great coaching on how to approach word problems, and how to best find a solution. They watch an episode of Reading...
Curated OER
Alternative Algorithms
Analyze algorithms for computing with rational numbers and develop fluency in their use with your math class. They work individually to solve the problems on the "Alternative Algorithms" sheet. Then, they analyze the appropriateness of...
Curated OER
The Number Line
Represent, order, and compare rational numbers in order to practice placing them on a number line. Your class will use appropriate operations, methods, and tools to compute with real numbers. Then they must explain completely and clearly...
Code.org
One-way Functions – The WiFi Hotspot Problem
Pupils attempt to solve the Wireless Hotspot Problem and learn why it is considered a computationally hard problem in the ninth lesson of the series on 12. They also learn about one-way functions and how the Wireless Hotspot Problem is...
EngageNY
The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math
Make math much simpler with mental math methods. The 16th installment in a series of 21 looks at ways scholars can apply mental math to convert division problems into easier problems with the same quotient. Multiplying or dividing both...
Illustrative Mathematics
Voting for Three, Variation 2
Here is another opportunity for math students to apply reasoning to solve real-world problems with ratios. The ratio of the number of votes for two candidates is provided. Your class is asked to use this ratio and information given about...