National Research Center for Career and Technical Education
Transportation, Distribution, and Logistics: Tire and Wheel Assemblies
Is bigger really better? By the end of this lesson, learners will be able to apply formulas for computing the diameter of tires and wheel assemblies. Begin by showing a slide presentation that will review definitions for radius and...
DK Publishing
More Multiplication Practice, 1-Digit by 2-Digit Numbers
When multiplying two-digit numbers by one-digit numbers, use a guided set of problems like this one. There are three examples for young mathematicians to reference, and they solve 20 equations. They are required to regroup for some....
EngageNY
Dividing Segments Proportionately
Fractions, ratios, and proportions: what do they have to do with segments? Scholars discover the midpoint formula through coordinate geometry. Next, they expand on the formula to apply it to dividing the segment into different ratios and...
EngageNY
The Inscribed Angle Alternate – A Tangent Angle
You know the Inscribed Angle Theorem and you know about tangent lines; now let's consider them together! Learners first explore angle measures when one of the rays of the angle is a tangent to a circle. They then apply their newfound...
Achieve
Corn and Oats
How much land does a parcel hold? How much fertilizer does it take for a field of corn? Pupils answer these questions and more as they apply ratio reasoning and unit analysis.
Willow Tree
Multiplying and Dividing Monomials
Apply the power of mathematics to the power expressions. The activity gives examples of expressions that utilize each of the exponent rules to simplify. Once seeing the exponent rules individually, scholars combine them to simplify an...
Curated OER
Exponent Law
In this algebra worksheet, problems containing exponents are solved by applying the properties of exponents. There are 10 questions with an answer key.
Achieve
Yogurt Packaging
Food companies understand how to use math to their advantage. Learners explore the math related to the packaging and serving size of yogurt. They then use unit analysis and percent values to make decisions on the product development.
EngageNY
Euler’s Number, e
Scholars model the height of water in a container with an exponential function and apply average rates of change to this function. The main attraction of the instructional activity is the discovery of Euler's number.
Curated OER
Patterns
Follow the pattern to find what comes next. Youngsters analyze shape patterns to continue the sequence in the provided space. The three patterns increase in difficulty, and then scholars have a chance to create two of their own....
Curated OER
Quarters
Set up youngsters for fraction success years down the road with this focus on quarters. They begin with examining five shapes that have been equally segmented into four parts. Using one example as reference, learners shade a quarter of...
Illustrative Mathematics
Placing a Square Root on the Number Line
There are many ways to approach finding the rational approximation of an unknown square root. Here is a problem that will help math learners make a connection between square roots and their order on a number line. As usual, determine two...
Illustrative Mathematics
Coupon Versus Discount
All too often stores give coupons for an item, but when you go into buy it, the item is on discount. The store won’t take the coupon if the discount is used. So what do you do, use the coupon or take the discount? This activity helps...
Willow Tree
Simplifying Square Roots
The square root of five and five do not have the same value! How many times have you addressed this with math classes? A lesson gives an explanation of a square root and gives examples for simplifying square root expressions,...
Federal Reserve Bank
Expense Tracking
Where does all your money go? Individuals keep a record of the money they spend over the course of 30 days. They then categorize where they are spending their money and write an essay detailing their findings.
Illustrative Mathematics
Counting Dots in Arrays
Mathematical arrays can represent several different math skills, including counting groups, multiplication, and even area. In this specific task, learners are asked to identify the addition equations that are equal to a 3 x 4 array....
CCSS Math Activities
Social Security Trust Fund
Will Social Security still be around when you retire? Given data on the predicted balance of the social security fund over time, scholars plot the points on a coordinate grid and determine if a quadratic regression fits the data. They...
Virginia Department of Education
Distance and Midpoint Formulas
Small groups work through two guided activities to derive the distance and midpoint formulas for the coordinate plane. The activities begin with concrete examples and move to abstract.
Math Worksheets Land
Properties of Operations as Strategies - Guided Lesson
Math properties can be tricky, but this worksheet's visual approach makes them accessible to young learners. First, they apply the associative property by filling in the blanks of an equivalent equation, concluding that the values are...
CCSS Math Activities
Rolling for the Big One
Knowing math helps you win games. Learners apply conditional probability concepts in an engaging performance task. After playing a game in which players roll a 10-sided polyhedron and then try to place the digits to get the highest...
Mathed Up!
Compound Measures
Compounding is dividing units. Pupils practice using compound measures such as units for speed and density to solve problems that range from straightforward speed problems to those requiring conversions. The last few items challenge...
Curated OER
Drops on a Penny
Young scientists explore the concept of surface tension at is applies to water. In this activity, learners use a dropper to place drops of water on a penny. Each group guesses how many drops a heads-up penny will hold, then conducts the...
Curated OER
Number Story Arrays
Use these number story cards to give scholars practice with arrays and number models. There are 12 cards here, each with a simple object scenario for learners to apply mathematically. Mathematicians are given the number of rows and how...
Curated OER
Fred's Fun Factory
Round and round and round she goes. Where she stops, nobody knows. This activity uses a common arcade game of chance, the spinning wheel, as a platform for computing expected values, interpreting results, and applying this knowledge to...
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