Illustrative Mathematics
Buying Gas
A quick problem to test your middle schoolers' knowledge of dividing with decimals. Also a good practice of unit rates, they must compute the cost of one gallon of gas when given the total amount for a fill up. Can be used as a preface...
Illustrative Mathematics
Springboard Dive
Quadratics and height application problems go hand in hand like teenagers and sleeping in. High schoolers must look at the equation of a diver's height and calculate such features as the height of dive board, time entering the water, and...
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...
EngageNY
Substituting to Evaluate Addition and Subtraction Expressions
Substitute this resource for what you used to use. Learners identify patterns in data tables and write addition and subtraction expressions to represent relationships. Substitution allows them to solve problems in context in the 20th...
Illustrative Mathematics
Equivalent Expressions
Here is a straight-forward problem of multiplying two binomials with a twist. It is up to algebra learners to decide how to turn this product of sums into a sum of products. However, it is not the quadratic that is the answer; it is 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
Jim and Jesse's Money
Jim and Jesse started their road trip with the same amount of money. Your class must find the amount of money each one had given, the amount of money spent, and the ratio of money at the end. This is a comprehensive problem that...
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...
EngageNY
Parallel and Perpendicular Lines
Use what you know about parallel and perpendicular lines to write equations! Learners take an equation of a line and write an equation of a line that is parallel or perpendicular using slope criteria. They then solve problems to...
EngageNY
Properties of Exponents and Radicals
(vegetable)^(1/2) = root vegetable? The fourth installment of a 35-part module has scholars extend properties of exponents to rational exponents to solve problems. Individuals use these properties to rewrite radical expressions in...
EngageNY
Read Expressions in Which Letters Stand for Numbers II
Reading and writing take on a whole different meaning in math class. Young mathematicians learn to read verbal phrases by focusing on operation words. They write equivalent algebraic expressions for both mathematical and contextual...
National Security Agency
Place Value - Butterflies Floating Place to Place
Learn about butterflies and place value in a series of interdisciplinary lessons! With several worksheets that reference butterfly facts in word problems, kids can practice science and math in one activity. Additional worksheets are...
Illustrative Mathematics
Currency Exchange
Take your class on a North American adventure with a currency conversion problem. Pupils are asked to change US dollars into Canadian dollars and then to Mexican pesos. The commentary includes two solutions, converting by unit rates and...
Illustrative Mathematics
Finding a Chair
Here is an activity that incorporates subtraction in word problems. Youngsters are provided with six word problems that essentially deal with the same numbers in each problem, yet use different comparison language. These problems are...
Curated OER
This Man's Father
In this online instructional activity, students solve 1 creative thinking problem, where they determine who a man's father is given specific information. A solution is available.
Curated OER
Solving the following Cryptarithm
In this algebra worksheet, students solve a cryptarithm by deciphering a word problem and finding out how many potential solutions the puzzle has. There is 1 question with an answer key. This would be a great Algebra warm up problem.
Curated OER
Reacting Masses Problems
In this reactions worksheet, student determine the products of a reaction, balance an equation, and calculate the number of moles in an experiment. This worksheet has 4 problems to solve.
Curated OER
Reacting Masses Problems
In this chemical reactions worksheet, students follow steps to determine the mass of compounds formed by the combustion of an element. This worksheet has 5 problems to solve.
Creative Chemistry
Some Redox Titration Problems Involving Manganate (VII)
In this titration learning exercise, students determine the number of moles of an ion present in given solutions. Students calculate the relative formula mass and the concentrations of ions for solutions. This learning exercise has seven...
Noyce Foundation
Between the Lines
Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...
Noyce Foundation
Part and Whole
Now you'll never have trouble cutting a cake evenly again. Here is a set of five problems all about partitioning shapes into a given number of pieces and identifying the fractional amount of each piece. As learners progress through the...
Education Development Center
Integer Combinations—Postage Stamps Problem (MS Version)
Number patterns can seem mysterious. Help your learners unravel these mysteries as they complete an intriguing task. Through examination, collaborative groups determine that they are able to produce all integers above a certain...
Illustrative Mathematics
Floor Plan
A multi-step problem has learners finding the actual area based on a scale drawing and then converting units at the end. Two different solution choices are listed depending on the preference on which step to start first. Both methods can...
Illustrative Mathematics
Kendall's Vase - Tax
Practice sales tax when using the activity with three solution choices. Learners can use a percent table, benchmark percent, or solve by calculating. Solutions don't show how to multiply by the decimal, but method can be added in....