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Illustrative Mathematics
Fruit Salad
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
California Education Partners
Four Square Wars
Obviously, four is the perfect number when you're playing Four Square. Scholars first use multiplication and division to solve a set of problems on the number of balls needed, the number of games, and the number of players required for a...
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
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...
Curated OER
Unstable Table
Bothered by a wobbly table? Learn how to fix this problem using concepts of slope and continuity. Pupils first consider the problem in two dimensions and then progress to three dimensions. The solution is really quite simple.
EngageNY
Inverse Trigonometric Functions
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th lesson of a 16-part series. They use inverse functional...
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...
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
The Stamp Collection
By using language like "half of the stamps," children are exposed to patterns in arithmetic that requires solving a two-step word problem. This type of language opens a new door for transitioning learners toward understanding fractions...
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...
Curated OER
Integers - Objects Model
Sixth and seventh graders solve 19 various types of problems related to integers as objects models. They write an integer that corresponds to each letter on a number line and then, arrange the integers from least to greatest. Pupils also...
Illustrative Mathematics
The Locker Game
Here is a learning activity that incorporates a classic puzzle in mathematics. Young mathematicians are guided through a series of statements that describe rounds of pupils opening and closing lockers. The first person opens all 20...
Illustrative Mathematics
Painting a Room
This real-life math problem concentrates on developing the understanding of dividing a unit fraction by a whole number. It allows students to draw out a solution to aid their thinking. The well-written answer sheet describes common...
Curated OER
Study Buddies: Relating Multiplication And Division
These acitivities are designed for two! With a partner, problem solve and calculate the answers to fifteen word problems or mathematical equations. Scaffolding and coaching are included, and as an extension learners are prompted to...
Curated OER
Interval Notation and Linear Inequalities
In this interval notation and linear inequalities worksheet, students use number lines and solve equations. Students complete 64 problems total.
Curated OER
Inverse Relationships Multiplication/Division (A)
In this inverse relationships involving multiplication and division worksheet, students problem solve and calculate the answers to sixteen mathematical equations.
Illustrative Mathematics
Dividing by One-Half
Understanding when to divide by two or one-half can be confusing. Here is an activity that gives four different scenarios. It is up to your number crunchers to decide if they divide by two or one-half. The easiest way to approach 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...
Illustrative Mathematics
Who is the Tallest?
A simple question, with a not-so-simple answer. Working with whole and mixed number measurements in inches, feet, and yards presents a problem with many possible solutions. A great activity that challenges the minds of young...
Illustrative Mathematics
Voting for Two, Variation 4
After elections, the total amount of votes is not specified but the ratio of votes is. Your learners' job is to determine the fraction of votes John received above half of all votes. The problem can be solved abstractly or by other...
Illustrative Mathematics
Voting for Two, Variation 3
After calculating election votes, your learners must determine how many votes the winner, John, got above 50%. This multi-step problem encourages them to think in a deeper way about what the question is asking them to find. Use with...
Curated OER
Solving Linear Equations
In this solving linear equations worksheet, 9th graders solve and complete 6 different types of problems. First, they maintain a balance on both sides of the equation so that each side remains equal. Then, students apply mathematical...
Illustrative Mathematics
Voting for Two, Variation 1
The votes are in and your mathematicians are going to calculate how many votes each candidate received. Three different solution choices are given, depending on which method is taught. Have your learners set up a table, compute parts, or...
Curated OER
Exercise Require Mathematical Operation
For this addition worksheet, 3rd graders choose the appropriate number sentence to solve the addition word problem. Students complete 1 problem.