Illustrative Mathematics
Interpreting a Division Computation
Mathematicians show their understanding of a division problem. If a student can apply long division to a pair of numbers and determine a quotient, what other factors and multiples become apparent? The example illustrates a simple...
Computer Science Unplugged
Divide and Conquer—Santa’s Dirty Socks
The story "Santa's Dirty Socks" provides learners an example of a search algorithm that uses a divide and conquer system similar to a binary search algorithm. The included questions expand upon the concepts that follow the story.
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 1
Help your class make sense of quantities and their relationships. Given is the product of two numbers. It is up to your number crunchers to think about the quantitative relationship when the product is one-tenth or ten times the product...
Illustrative Mathematics
How Many _______ Are In. . . ?
Help your learners gain meaningful understanding of dividing fractions using fraction models. The activity includes nine problems which are sequenced to show how the fraction division algorithm evolves. Have students use graph paper or...
Illustrative Mathematics
How Many Servings of Oatmeal?
Here is another way to illustrate division of a whole number by a unit fraction. In this case, the problem is asking if there are so many servings per cup, how many servings are in a package of multiple cups. Learners are to model their...
Illustrative Mathematics
Reasoning about Multiplication and Division and Place Value, Part 2
The learner puts reasoning and estimation to work. The directions are to place a decimal in the answer to make the equation true. Pupils are to look at the two problems, one multiplication and one division, and estimate an answer. No...
Illustrative Mathematics
Traffic Jam
Help your learners understand dividing with fractions by using these methods to solve. Chose from two different number lines or linker cubes. This practices "how many groups?" style division problems which help them comprehend why...
Illustrative Mathematics
Video Game Credits
Help your learners understand how to divide fractions with this visual activity. They first answer a simple inequality before dividing the fractions. Two solution choices are given to help your mathematicians understand how to solve "how...
Computer Science Unplugged
Lightest and Heaviest—Sorting Algorithms
How do computers sort data lists? Using eight unknown weights and a balance scale, groups determine the order of the weights from lightest to heaviest. A second worksheet provides the groups with other methods to order the weights. The...
Illustrative Mathematics
How Many Containers in One Cup / Cups in One Container?
The object is to model fraction division by asking “How many are in one group?” It is a difficult concept to understand, but developing the model that shows one cup to a certain amount of container or one container to a certain amount of...
Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
Illustrative Mathematics
Zeroes and factorization of a quadratic polynomial I
This activity uses the division algorithm and the definition of a zero/root of a function to guide your class to see the relationship between zeros and factors of a general quadratic, which can later be generalized to the Remainder...
Illustrative Mathematics
Gifts from Grandma, Variation 3
There are three money word problems in this activity, each one is set in the same context. The first asks what was the total amount grandma spent, the second how many grandchildren grandma has, and the third asks how much grandma spent...
Computer Science Unplugged
Tourist Town—Dominating Sets
As an introduction to using a network to determine the fewest number of nodes that meet a given condition, small groups work together to determine the fewest number of ice cream vans, and their locations, to be able to serve the people...
Curated OER
Minutes and Days
Elapsed time is a skill developed by the single question that is the center of this activity. Fifth graders are asked to find out the time that is 2011 minutes after the beginning of 2011. This question addresses the standard that...
Howard Hughes Medical Institute
The Great Elephant Census Modeling Activity
They say elephants never forget—and your class won't forget an insightful modeling activity either! Junior zoologists take part in a mock elephant census using the sample count and total count methods. The included materials provide...
5280 Math
Capture the Points
Play a game of capture the points. Young scholars receive a number line with specific points graphed and must write an inequality that captures all the points. The second task of the algebra project is to write an inequality with...
Khan Academy
Khan Academy: Divide and Conquer Algorithms
Learn about two sorting algorithms: selection sort and insertion sort.
University of Waterloo (Canada)
University of Waterloo: Math Frog: Dividerama!
Play Dividerama to test your skills at division by completing 16 long division questions.
Texas Instruments
Texas Instruments: Dividing Fractions
In this activity, students make use of a visual representation for dividing fractions. They also discover the numerical algorithm used to divide fractions.
Lizard Point Quizzes
Lizardpoint: Division
Practice using different types of division problems. This site allows you to pick which type of division you want to work on, providing ten different difficulty levels. When you are finished you can print your results!
NumberNut
Number Nut: Basic Math: Two Digit Division
This lesson offers strategies for dividing two-digit numbers. Students are introduced to related vocabulary, long and short division, and two-digit division with remainders. Links to the interactive games allow students to practice and...
Math Is Fun
Math Is Fun: Long Division to Decimal Places
If you want to learn the traditional algorithm for long division when you divide to the decimal places, this website gives a very clear, simple step-by-step break down of the process. Students can solve six problems to practice the skill...
Texas Instruments
Texas Instruments: Rational Expression Multiplication
This StudyCards set uses guided discovery concepts to develop ideas for functions operations, building from rational expression multiplication and division algorithms.