Estimating quotients with greater dividends Literature Link: Bean Thirteen by Matthew McElligott Lesson 9-3 CCSS 4.NBT.6, 4.OA.3

MATH Essential Questions What strategies can be used to divide? MATH Essential Questions

MATH Essential Questions How can mental math and estimation be used to divide? MATH Essential Questions

MATH Essential Questions What are different meanings of division? MATH Essential Questions

Warm Up Complete the patterns. 2, 8, ___, 20, ___, 32, 38, __ 2, 4, 8, ___, 32, ___ 3, 9, ___, 81, ___

Think and Write In the last lesson, you estimated to the nearest ten to solve problems with large numbers in the hundreds. How can you use estimation with numbers in the thousands?

Today’s Lesson In this lesson, you will use multiplication facts and place value to estimate quotients of multi-digit division problems. Let’s look at the Envision Video for this lesson and take the quiz.

Rounding Thousands When you round to the nearest tens, you look at the ones place. To divide and round numbers in the thousands, round to the nearest hundred. What digit will you look to if rounding to the nearest hundred?

Practice! Round these thousands numbers to the nearest hundred. 4,360 9,225 6,139 3,894 5,748

Solving Larger Equations 4794 ÷ 8 First, round 4,794 to the nearest hundred. It is much easier to solve 4800 ÷ 8. Think of the pattern: 48 ÷ 8 = 6 480 ÷ 8 = 6 4800 ÷ 8 = 6

Solving Equations Practice! Estimate by rounding to the nearest hundred, then divide. 6289 ÷ 9 4218 ÷ 7 3496 ÷ 5 2433 ÷ 8

Problem 1 Edward has $1624. He wants to divide it among 8 different bank accounts. About how much will Edward put into each account?

Problem 2 There are 2434 boxes of waffles to be divided equally among 8 grocery stores. About how many boxes of waffles should each store receive?

Problem 3 Mary has to drive 1198 miles to visit her aunt. If she divides the drive equally between 2 days, about how many miles will she drive each day?

Lesson Wrap Up In this lesson, you learned that mentally computing with multiples of ten will help you estimate the quotient of a multi-digit division problem. Reflection in Notebook: I would explain today's lesson to a friend by... Center Activity – Think Together (9-3). Homework (9-3 Practice) for one “Paw Signature” and (9-3 Reaching & Practice) if you want two “Paw Signatures.” Website for Practice: Website for Practice: http://www.abcya.com/estimating.htm