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Place Value and Problem Solving with Units
of Measure
Topic E: Two and Three Digit Measurement
Subtraction Using the Standard Algorithm
Module 2: Lesson 18
Objective: Decompose once to subtract
measurements including three-digit minuends with
zero in the tens or ones place.
Fluency Practice
(11 minutes)
Group Counting (3 Minutes)
Count forward and backward:
• Threes to 30
• Fours to 40
• Sixes to 60
• Sevens to 70
• Eights to 80
• Nines to 90
Fluency Practice
(11 minutes)
Subtract mentally (4 Minutes)
Say the number sentence in the units of one.
10 – 3 = ____ Yes! 10 ones – 3 ones = 7 ones
11 – 3 = ____
61 – 3 = ____
Fluency Practice
(11 minutes)
Subtract mentally (4 Minutes)
Say the number sentence in the units of ten.
100 – 30 = ____ Yes! 10 tens – 3 tens = 7 tens
110 – 30 = ____
610 – 30 = ____
Fluency Practice
(11 minutes)
Subtract mentally (4 Minutes)
10 – 3 = 7 11 – 3 = 8 61 – 3 = 58
100 – 30 = 70 110 – 30 = 80 610 – 30 = 580
Repeat with another set of six equations if time
permits:
10 – 5 , 12 – 5, 73 – 5, and
100 – 50=, 120 – 50 =, 730 – 50 = .
Fluency Practice
(11 minutes)
Estimate and add (4 Minutes)
38 + 23 = Say the addition problem.
Give me the new addition problem if we round
each number to the nearest 10.
38 + 23 ≈ 40 + 20 What’s 40 + 20?
So, 38 + 23 should be close to?
On your boards solve 38 + 23.
Continue with 24 + 59, 173 + 49, and 519 + 185
Application Problem
(5 minutes)
RDW
Tara brings 2 bottles of water on her hike. The
first bottle has 471 ML of water, and the second
bottle has 354 ML of water. How much water
does Tara bring on her walk?
Model this problem with a tape diagram and
solve.
Application Problem
(5 minutes)
Tara brings 2 bottles of water on her hike. The first bottle has 471
ML of water, and the second bottle has 354 ML of water. How much
water does Tara bring on her walk?
Concept Development (34 minutes)
Materials: (T) Place Value Charts, (S) Personal White Boards, Place Value Charts
Part 1: Use the place value chart to model decomposing once
to subtract with three digit minuends.
Tara has 132 ML of water left after hiking. How can
we find how many milliliters of water Tara drank
while hiking?
Yes! We can subtract 132 ML from 825 ML Tara
drank 825 – 132 milliliters.
825 Model this on your place value charts.
–132
Concept Development (34 minutes)
Materials: (T) Place Value Charts, (S) Personal White Boards, Place Value Charts
Part 1: Use the place value chart to model decomposing once
to subtract with three digit minuends.
825
–132
Let’s get ready to subtract. How many ones do
we need to subtract from the 5 ones that are
there now? Can we subtract 2 ones from 5
ones? Yes!
How many tens do we need to subtract from
the 2 tens that are there now?
Can we subtract 3 tens from 2 tens? Why not?
To get more tens so that we can subtract,
unbundle 1 hundred into tens. How many tens
in one hundred?
Concept Development (34 minutes)
Materials: (T) Place Value Charts, (S) Personal White Boards, Place Value Charts
Concept Development (34 minutes)
Materials: (T) Place Value Charts, (S) Personal White Boards, Place Value Charts
Part 1: Use the place value chart to model decomposing once
to subtract with three digit minuends.
825
–132
To start off, we had 8 hundreds and 2 tens. Now
how many hundreds do we have? 7 hundreds
and 12 ones
Now let’s move to the hundreds place. Can we
subtract 1 hundred from 7 hundreds? Yes!
We’re ready to subtract. Cross off the ones,
tens, and hundreds that are being subtracted.
Concept Development (34 minutes)
Materials: (T) Place Value Charts, (S) Personal White Boards, Place Value Charts
Part 1: Use the place value chart to model decomposing once
to subtract with three digit minuends.
825
–132
So what’s the result?
693. So our answer is 693?
No! We are looking for the amount of water, not
just a number. Its 693 ML.
Tara drank 693 ML of water on her hike.
Continue with 785 cm – 36 cm, 440 g – 223 g, 508 ML – 225 ML
Concept Development
(34 minutes)
Part 2: Subtract using the standard algorithm.
Nooran buys 507 grams of grapes at the market on Tuesday.
On Thursday, he buys 345 grams of grapes. How many more
grapes did Nooran buy on Tuesday than on Thursday?
Let’s model this problem with a tape diagram to figure out
what we need to do to solve. Draw with me on your boards.
How should we solve this problem?
We can subtract 507 g – 345 g. We’re looking for the part
that’s different so we subtract.
Concept Development
(34 minutes)
Part 2: Subtract using the standard algorithm.
Nooran buys 507 grams of grapes at the market on Tuesday. On Thursday,
he buys 345 grams of grapes. How many more grapes did Nooran buy on
Tuesday than on Thursday?
Write the equation. Is this problem easily solved with mental math?
Why or why not? Not really. 300 from 500 is easy, but 7 and 45 are
not friendly.
Let’s use the standard algorithm to subtract. Rewrite the expression
vertically on your boards.
Concept Development
(34 minutes)
Part 2: Subtract using the standard algorithm.
507
–345
Before we subtract, let’s see if any unbundling
needs to be done. Are there enough ones to
subtract 5? Yes!
Are there enough tens to subtract 4 tens? No.
How can we get more tens? Go to the hundreds
place and unbundle 1 hundred and make 10
tens. How many hundreds are in the number on
top? 5
When we unbundle 1 hundred to make 10 tens,
how many hundreds and tens will the top
number have? 4 hundreds and 10 tens.
Concept Development
(34 minutes)
Part 2: Subtract using the standard algorithm.
507
–345
Do we have enough hundreds to subtract 3
hundreds? Yes! We are ready to subtract. Solve
the problems on your boards.
How many more grams of grapes
did Nooran buy on Tuesday?
Continue with 513cm – 241 cm, 760g – 546g,
506 ml – 435 ml.
Problem Set (10 minutes)
You have 10 minutes to complete the problem set pages.
Debrief (10 minutes)
Let’s review your solutions for the problem set.
Exit Ticket
(3 minutes)
This is where you are going to show
us that you understand what we learned today!
We will learn if you are ready for the next lesson!
Homework
3-2 Lesson 18
Homework
Worksheet
Is Due Tomorrow!

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Module 2 Lesson 18

  • 1. Place Value and Problem Solving with Units of Measure Topic E: Two and Three Digit Measurement Subtraction Using the Standard Algorithm Module 2: Lesson 18 Objective: Decompose once to subtract measurements including three-digit minuends with zero in the tens or ones place.
  • 2. Fluency Practice (11 minutes) Group Counting (3 Minutes) Count forward and backward: • Threes to 30 • Fours to 40 • Sixes to 60 • Sevens to 70 • Eights to 80 • Nines to 90
  • 3. Fluency Practice (11 minutes) Subtract mentally (4 Minutes) Say the number sentence in the units of one. 10 – 3 = ____ Yes! 10 ones – 3 ones = 7 ones 11 – 3 = ____ 61 – 3 = ____
  • 4. Fluency Practice (11 minutes) Subtract mentally (4 Minutes) Say the number sentence in the units of ten. 100 – 30 = ____ Yes! 10 tens – 3 tens = 7 tens 110 – 30 = ____ 610 – 30 = ____
  • 5. Fluency Practice (11 minutes) Subtract mentally (4 Minutes) 10 – 3 = 7 11 – 3 = 8 61 – 3 = 58 100 – 30 = 70 110 – 30 = 80 610 – 30 = 580 Repeat with another set of six equations if time permits: 10 – 5 , 12 – 5, 73 – 5, and 100 – 50=, 120 – 50 =, 730 – 50 = .
  • 6. Fluency Practice (11 minutes) Estimate and add (4 Minutes) 38 + 23 = Say the addition problem. Give me the new addition problem if we round each number to the nearest 10. 38 + 23 ≈ 40 + 20 What’s 40 + 20? So, 38 + 23 should be close to? On your boards solve 38 + 23. Continue with 24 + 59, 173 + 49, and 519 + 185
  • 7. Application Problem (5 minutes) RDW Tara brings 2 bottles of water on her hike. The first bottle has 471 ML of water, and the second bottle has 354 ML of water. How much water does Tara bring on her walk? Model this problem with a tape diagram and solve.
  • 8. Application Problem (5 minutes) Tara brings 2 bottles of water on her hike. The first bottle has 471 ML of water, and the second bottle has 354 ML of water. How much water does Tara bring on her walk?
  • 9. Concept Development (34 minutes) Materials: (T) Place Value Charts, (S) Personal White Boards, Place Value Charts Part 1: Use the place value chart to model decomposing once to subtract with three digit minuends. Tara has 132 ML of water left after hiking. How can we find how many milliliters of water Tara drank while hiking? Yes! We can subtract 132 ML from 825 ML Tara drank 825 – 132 milliliters. 825 Model this on your place value charts. –132
  • 10. Concept Development (34 minutes) Materials: (T) Place Value Charts, (S) Personal White Boards, Place Value Charts Part 1: Use the place value chart to model decomposing once to subtract with three digit minuends. 825 –132 Let’s get ready to subtract. How many ones do we need to subtract from the 5 ones that are there now? Can we subtract 2 ones from 5 ones? Yes! How many tens do we need to subtract from the 2 tens that are there now? Can we subtract 3 tens from 2 tens? Why not? To get more tens so that we can subtract, unbundle 1 hundred into tens. How many tens in one hundred?
  • 11. Concept Development (34 minutes) Materials: (T) Place Value Charts, (S) Personal White Boards, Place Value Charts
  • 12. Concept Development (34 minutes) Materials: (T) Place Value Charts, (S) Personal White Boards, Place Value Charts Part 1: Use the place value chart to model decomposing once to subtract with three digit minuends. 825 –132 To start off, we had 8 hundreds and 2 tens. Now how many hundreds do we have? 7 hundreds and 12 ones Now let’s move to the hundreds place. Can we subtract 1 hundred from 7 hundreds? Yes! We’re ready to subtract. Cross off the ones, tens, and hundreds that are being subtracted.
  • 13. Concept Development (34 minutes) Materials: (T) Place Value Charts, (S) Personal White Boards, Place Value Charts Part 1: Use the place value chart to model decomposing once to subtract with three digit minuends. 825 –132 So what’s the result? 693. So our answer is 693? No! We are looking for the amount of water, not just a number. Its 693 ML. Tara drank 693 ML of water on her hike. Continue with 785 cm – 36 cm, 440 g – 223 g, 508 ML – 225 ML
  • 14. Concept Development (34 minutes) Part 2: Subtract using the standard algorithm. Nooran buys 507 grams of grapes at the market on Tuesday. On Thursday, he buys 345 grams of grapes. How many more grapes did Nooran buy on Tuesday than on Thursday? Let’s model this problem with a tape diagram to figure out what we need to do to solve. Draw with me on your boards. How should we solve this problem? We can subtract 507 g – 345 g. We’re looking for the part that’s different so we subtract.
  • 15. Concept Development (34 minutes) Part 2: Subtract using the standard algorithm. Nooran buys 507 grams of grapes at the market on Tuesday. On Thursday, he buys 345 grams of grapes. How many more grapes did Nooran buy on Tuesday than on Thursday? Write the equation. Is this problem easily solved with mental math? Why or why not? Not really. 300 from 500 is easy, but 7 and 45 are not friendly. Let’s use the standard algorithm to subtract. Rewrite the expression vertically on your boards.
  • 16. Concept Development (34 minutes) Part 2: Subtract using the standard algorithm. 507 –345 Before we subtract, let’s see if any unbundling needs to be done. Are there enough ones to subtract 5? Yes! Are there enough tens to subtract 4 tens? No. How can we get more tens? Go to the hundreds place and unbundle 1 hundred and make 10 tens. How many hundreds are in the number on top? 5 When we unbundle 1 hundred to make 10 tens, how many hundreds and tens will the top number have? 4 hundreds and 10 tens.
  • 17. Concept Development (34 minutes) Part 2: Subtract using the standard algorithm. 507 –345 Do we have enough hundreds to subtract 3 hundreds? Yes! We are ready to subtract. Solve the problems on your boards. How many more grams of grapes did Nooran buy on Tuesday? Continue with 513cm – 241 cm, 760g – 546g, 506 ml – 435 ml.
  • 18. Problem Set (10 minutes) You have 10 minutes to complete the problem set pages. Debrief (10 minutes) Let’s review your solutions for the problem set.
  • 19. Exit Ticket (3 minutes) This is where you are going to show us that you understand what we learned today! We will learn if you are ready for the next lesson!