# 5th Grade Computation Resources

Enter two fractions, then watch as they are added together. "Why is the sum partitioned like that?"

This uses an area model approach for multiplication. Use as a tool to support students as they learn multi-digit multiplication, or take an inquiry approach by clicking "Randomize" and working slowly, carefully to figure out the two factors. What's the fewest pieces of information you need?

A simple tool for students who need support when finding a common denominator (or any other context in which they are looking for a common multiple).

Shows one factor and the product on the number line. Adjust the second factor (by increments of 0.1) and see the result on the product. Meant to develop understanding of 1 as a threshold for bigger/smaller product.

Shows a quotitive approach for dividing a whole number by a proper fraction.

This resource is intended to get students to use proportional reasoning to estimate quotients. Use the sliders to generate random dividends and divisors, or input your own numbers. Start by dragging the numbers to the correct locations, then predict the number of "jumps" to land on the dividend.

This is designed to help students connect division algorithms to the "action" that is actually taking place. As students develop repeated subtraction or partial quotient approaches, use this to support them thinking "What is happening here?" as they represent the problem mathematically and attend to the meaning of the quantities.

Place fractions sums and/or differences on the number line. You'll have (mostly) different denominators, so you'll have to use number sense to estimate. (These should be relatively QUICK placements!) Feedback provided.

Use the sliders to adjust the addends, then consider the size of the sum relative to the two bounds you are given. "Would the sum be closer to ___ or ___? How do you know?" As the level of precision increases, the level of mathematical reasoning increases with it. And the GRAND purpose behind this is to get students using an estimation strategy called front-end addition. Consider building this around a central question of "How do we make our estimates more precise?"

What if we took a hundreds chart and replaced the whole numbers with fractions? Explore this idea by clicking "Add to path," then click on a square to show its values...but try to predict the value first!

This activity is meant to develop flexible, creative thinking about numbers and operations. Your goal is to move a from a starting number to a target number, but there are many ways to do this! Adjust the sliders to control the bounds of the numbers involved.

Shows an array/area model for multiplying two proper fractions.

An extension of Multiplying Fractions. Shows an array/area model for multiplying two proper fractions, then allows you to simplify the product. NOTE: The simplification doesn't work perfectly, but should work well enough for simple fractions.

Demonstrates a visual model for finding products of mixed number fractions.

A simple activity in which you put multiplication expressions in increasing order. Adjust the sliders to change the number of expressions and the number of digits in the factors, focusing more on *estimation *for large products.

A simple activity in which you put division expressions in increasing order. Adjust the slider to change the number of questions.

Designed to make a more concrete connection between dividend, divisor, and quotient. Use number sense to estimate the relative size of dividend and divisor, then use that to estimate the quotient.

Enter a dividend, then adjust the slider to see it "divided" into groups and, if necessary, a remainder. If you wish, display the division equation and the related multiplication equation.

Enter a division expression, then select an approach to the division (partitive or quotative).

Designed to give an understanding of factors and prime/composite numbers. Enter an integer, then see it arranged in arrays. Move the slider to see the resulting array for various divisors.