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Virginia Department of Education
Practical Problems Involving Decimals
After discussing decimals and "going shopping" in the classroom, young mathematicians are given four practical word problems that require them to estimate their answers, given specific information. The highlight of the lesson is...
CK-12 Foundation
Proportions and Scale: Problem Solving Plan, Proportions
Slide into a lesson on proportions. A slider interactive lets users adjust three of the four values in a proportion and automatically updates the fourth value. Scholars use the interactive to help answer a set of challenge questions on...
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...
CK-12 Foundation
Percent of Change: The Pizza Conundrum
Nine questions—multiple choice and fill in the blank—challenge mathematicians to solve money word problems. Looking closely at prices, scholars use a formula to identify percent increases and decreases based on an original and new price....
EngageNY
Modeling a Context from a Verbal Description (part 2)
I got a different answer, are they both correct? While working through modeling problems interpreting graphs, the question of precision is brought into the discussion. Problems are presented in which a precise answer is needed and...
EngageNY
Part of a Whole as a Percent
Pupils use visual models, numeric methods, and equations to solve percent problems. To complete the second installment of 20, they find the part given the percent and the whole, find the percent given the part and the whole, and find the...
EngageNY
More Problems on Area and Circumference
Perimeter check! Pairs work on finding the areas of semicircles and quarter circles using a relationship with squares. The problems challenge pupils to find areas of composite figures made from rectangles, semicircles, and quarter circles.
EngageNY
Angle Problems and Solving Equations II
Demonstrate the application of algebra to geometric angle relationships with an activity that asks learners to use what they know about adjacent and vertical angles to write algebraic equations. Diagrams become more complex in this...
EngageNY
Solving Percent Problems III
What happens when combining percentage discounts? The last lesson in a series of 29 introduces the idea of combining discounts one after another. Pupils wrestle with the claim that to find the total discount, they need to only add...
CK-12 Foundation
Addition of Fractions
Five word-problems challenge mathematicians to add fractions. Interactive fraction circles assist scholars in problem-solving. Question types include multiple-choice, true or false, and a discussion.
CK-12 Foundation
Comparison of Unit Rates: Drive Away
Five questions make up an interactive that challenges mathematicians to compare unit rates. Word problems question scholars about two friends going on a road trip. Scholars manipulate two cars on a coordinate plane to help solve word...
CK-12 Foundation
Add and Subtract Decimal Numbers: Losing Little Bits
An interactive offers five questions that challenge scholars to subtract decimals. A diagram featuring a tree and birdhouse with moveable parts is designed to assist mathematicians in finding solutions. Types of questions include...
CK-12 Foundation
Integers that Represent Different Situations: Football Field
A football-themed interactive focuses on integers. Seven questions challenge scholars to show what they know by way of short answers, multiple-choice, and true or false. An open-ended question followed by a discussion concludes the...
EduGAINs
Introduction to Solving Linear Systems
Word problems offer class members an opportunity to learn the concept of solving linear systems using graphs. Individuals choose a problem based upon preferences, break into groups to discuss solution methods and whether there...
Yummy Math
Raspberry Chocolate Heart Cake
Have you ever finished a piece of cake and wished you had more? Solve this common dilemma with math! A straightforward worksheet prompts middle schoolers to use the given dimensions of a heart-shaped cake when planning to bake two larger...
Curated OER
K-5 Mathematics Module: Number and Number Sense
Reinforce number sense with a collection of math lessons for kindergarteners through fifth graders. Young mathematicians take part in hands-on activities, learning games, and complete skills-based worksheets to enhance proficiency...
EngageNY
Getting the Job Done—Speed, Work, and Measurement Units II
How fast is your class? Learners determine the amount of time it takes individuals to walk a given distance and calculate their speeds. Pupils solve distance, rate, and time problems using the formula and pay attention to the...
Illustrative Mathematics
Listing Fractions in Increasing Size
Increase the depth of your class's fractional number sense with this number-ordering activity. Given four fractions, each with different numerators and denominators, young learners are asked to place them in order from smallest to...
EngageNY
Fraction Multiplication and the Products of Decimals
Class members come up with a hypothesis on the number of decimal digits in the product of two decimals. Learners work in groups to complete several decimal multiplication problems. The results help groups develop a conjecture on the...
EngageNY
A Synthesis of Representations of Equivalent Ratio Collections
Make all the ratio representations fit together. The 15th segment in a series of 29 presents ratio problems to solve. Scholars use a variety of representations to respond to the questions. The problem set has pupils show how the...
Illustrative Mathematics
Money in the Piggy Bank
It's time to crack open that piggy bank and see what's inside. First, count up the pennies, nickels, dimes, and quarters, identifying what fraction of them are dimes. Then calculate the total value of the coins, writing another fraction...
EngageNY
Construct an Equilateral Triangle (part 2)
Triangles, triangles, and more triangles! In this second installment of a 36-part series, your young mathematicians explore two increasingly challenging constructions, requiring them to develop a way to construct three triangles that...
Teach Engineering
The Challenge Question
A research position becomes a modeling job. The introductory lesson in a series of nine presents the challenge of analyzing a set of bivariate data. The class brainstorms what the data may represent. Pupils must decide what is needed to...
Teach Engineering
The Grand Challenge
Magnetic resonance imaging, just how safe is it? The introduction to unit study of magnetic resonance imaging technology presents the grand challenge questions of how an MRI machine works, the risks involved, the physics involved,...