National Research Center for Career and Technical Education
Manufacturing: Gas Metal Arc Welding (GMAW) Shielding Gas Mix
Middle schoolers apply math to the real-world skill of choosing the correct shielding gas mixture for welding. Even if you do not have shielding gas cylinders on hand for demonstrating, the concepts of converting percentages into...
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
Running to School, Variation 3
How far is it between school and home? Here is a relatable activity where the participant runs to school a certain fraction of the way. That distance is given in miles. It is up to your learners to determine the distance between home and...
Illustrative Mathematics
Running to School, Variation 2
Rose's commute to school is a fractional distance. After she runs part of the way, your class needs to determine what fractional distance she ran. This problem explores fraction operations through modeling and computation. The...
Illustrative Mathematics
Drinking Juice, Variation 3
It is up to the learner to find the amount of juice originally in a bottle, knowing what fraction of the juice is left, and the amount that has been consumed. The accompanying commentary provides a useful and detailed description of...
Illustrative Mathematics
Drinking Juice, Variation 2
An excellent activity using word problems where pupils interpret and compute quotients of fractions. The commentary includes using a fraction bar model and equations to represent the problem. In this variation of the resource, the...
Curated OER
Using Function Notation II
Learners write an example to show a function statement true and another to show it false in this short task that addresses some common student misconceptions.
Missouri Comprehensive Guidance Programs
Calculating Control/Self-Control
Self-control can seem like such a daunting task, but it doesn't have to be! By participating in this series of small group counseling activities, youngsters learn strategies to help them gain better control of their thoughts and actions.
MLC
Fractions Packet
Your fifth graders will appreciate the simple, direct explanations, examples, and practice exercises in this well-organized unit on fractions. Beginning with an introduction to fractions, the packet flows smoothly through the fraction...
University of Missouri
Money Math
Young mathematicians put their skills to the test in the real world during this four-lesson consumer math unit. Whether they are learning how compound interest can make them millionaires, calculating the cost of remodeling their bedroom,...
Civil War Trust
Map the Civil War
Mapmaking was a very important element in successfully planning attacks on enemies during the Civil War. Guide pupils through the process of pacing to find the average length of their steps, measure the distance between one object to the...
West Contra Costa Unified School District
Dividing Fractions
Encourage at-home assistance with a reference sheet designed to provide parents and guardians with the information they need to help their child divide fractions. Three pages offer detailed descriptions and labeled examples.
Charleston School District
Operations with Exponents
It just multiplies out. The lesson provides the rules for operations with exponents and keeps them as positive integers in the lesson. Videos explain the rules for the operations with exponents while working out examples.
Cornell University
Metamorphosis
Looking for an insect unit that addresses multiple skill strategies? Young entomologists explore multiple life cycles of insects that go through metamorphosis. The brainteasers and mobile activity spark learner interest before guiding...
Willow Tree
Percent of Change
Your car decreases in value from $20,000 to $17,000. What percent of the value have you lost? Pupils answer word problems by determining the percent of change.
Willow Tree
Solving Quadratic Equations
Polynomials are full of solutions! Learners understand that the degree determines the number of solutions. Examples show quadratic equations solved by factoring and by using the quadratic formula. A cubic equation is even mixed in for...
West Contra Costa Unified School District
Solving Inequalities
What does translating points on a number line have to do with solving inequalities? Young mathematicians first learn about translations of points on a number line, and then use this information to solve linear inequalities in one variable.
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a lesson for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they can...
West Contra Costa Unified School District
Divisibility Rules Justified
How do you know if a number is divisible? Instructors first prove the divisibility rules for three and four and then class members use this modeling to prove given divisibility rules for eight and nine either individually or in groups.
EngageNY
Exploiting the Connection to Trigonometry 2
The class checks to see if the formula for finding powers of a complex number works to find the roots too. Pupils review the previous day's work and graph on the polar grid. The discussion leads the class to think about how to reverse...
EngageNY
Counting Rules—The Fundamental Counting Principle and Permutations
Count the benefits of using the resource. The second installment of a 21-part module focuses on the fundamental counting principle to determine the number of outcomes in a sample space. It formalizes concepts of permutations and...
EngageNY
Linear Equations in Disguise
In the eighth segment of a 33-part unit, learners look at equations that do not appear to be linear at first glance. The equations are proportions where the numerators and denominators may have more than one term. To round out the...
02 x 02 Worksheets
Factoring
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
Virginia Department of Education
Algebra Tiles and Solving Equations
Young mathematicians solve linear equations by drawing models of algebra tiles using colored pencils. To finish, they solve the same equations algebraically and check their answers using a graphing calculator.
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