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Day 1 Module 2 – Lesson 12
Lesson Topic: Dividing Whole Numbers and Decimals
Lesson Objective: I can…• Connect estimation with place value in order
to determine the standard algorithm for division
Opening Exercise:
Solve the following equation using any method or model and explain why you used this method
5,911 ÷ 23
Example 1:We can also use estimates before we divide to help us solve division problems. In this lesson, we will be using estimation to help us divide two numbers using
the division algorithm.
Use estimation to solve the following problem:8,085 ÷ 33
How will the estimation help us divide 8,085 by 33?
Use the standard algorithm to solve 8,085 ÷ 33
Is our answer from the standard algorithm close to the estimated answer?
Multiply to check our work
Independent Exercises:
Estimate the quotient, use the algorithm, then check your work.
1. 1,008 ÷ 482. 2,508 ÷ 333. 2,156 ÷ 28
Day 2Module 2 – Lessons 13 and 14
Lesson Topics: Dividing Multi-Digit Numbers Using the Algorithm and The Division Algorithm – Converting Decimal Division into Whole
Number Division Using Fractions
Lesson Objectives: I can…• Understand that the standard algorithm of division is simply a
tally system arranged in place value columns• Use the algorithm to divide multi-digit numbers with and without
remainders• Compare their answer to estimates to justify reasonable quotients• Understand that when we “bring down” the next digit in the
algorithm, we are distributing, recording, and shifting to the next place value
Example 1:
Create a model to divide 17,216,673 ÷ 23
Use the division algorithm to show 17,216,673 ÷ 23
Explain each step in the division algorithm
Check your work using a multiplication problem
Example 2:
Find the quotient of 31,218 ÷ 132
Should we use a model? Why or why not?
Solve using the standard algorithm.
Example 3:
Divide:
974.835 ÷ 12.45
What do you notice about these?
How can we make this easier to solve?
Independent Exercises:
Estimate the quotient first. Use the estimate to justify the reasonableness of your answer.
3. Daryl spent $4.68 on each pound of trail mix. He spent a total of $14.04. How many pounds of trail mix
did we purchase?4. Jerod is making candles from beeswax. He has
132.72 ounces of beeswax. If each candle uses 8.4 ounces of beeswax, how many candles can he make?
Will there be any wax left?
Closing
Describe the steps that you use to change a division question with decimals to a division
question with whole numbers
Module 2 – Lesson 15Lesson Topic: The Division Algorithm – Converting Decimal Division into Whole Number Division Using Mental Math
Lesson Objectives: I can…• Use my knowledge of dividing multi-digit numbers
to solve for quotients of multi-digits decimals• Understand mathematical concept of decimal placement in the divisor and the dividend and its
connection to multiplying by powers of 10
Opening
Start by finding the quotient of 1,728 and 32
What would happen if we multiplied the divisor by 10? (1,728 ÷ 320)
What would happen if we multiplied the dividend by 10? (17,280 ÷ 320)
Exercise 1:
537.1 ÷ 8.2
How can we make this equation easier to solve?
Solve the problem using the method from the previous problem
Exercise 2
Let’s divide 742.66 by 14.2
How can we rewrite this division problem so that the divisor is a whole number, but the
quotient remains the same?
Independent Exercises:
Solve the following division problems and check by using a multiplication problem.
1. 15.5 ÷ 6.22. 32.4 ÷ 7.23. 25.9 ÷ 7.44. 63.7 ÷ 9.8
Closing:
Based upon our work today, discuss ways you would alter the problem 4,509 ÷ .03 to make it
easier to use the long division algorithm yet yield the same answer.