G1 U10 L11 TE
Applied MP
MPs * Embedded MP
Conceptual Lesson Grade 1 · Unit 10 · Lesson 11
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MC: 1.OA.1 Student Journal Pages
127-130
Today I will use objects to solve comparing word problems where the difference is unknown.
Vocabulary
Teacher Resources
Compare Difference Unknown: How many more – Word Problems: There are 6 brown horses. There are 5 white horses. How many more brown horses are there than white horses? 6-5=W
Unknown
Solve for the unknown: 6 - 5= 1 W=1 This problem can also be solved as a missing addend problem.
5+W=6 W=1
Compare Difference Unknown: How many fewer – Word Problems: June has 8 toys. Colleen has 12 toys. How many fewer toys does June have than Colleen? 12 - 8 = W
Unknown
Solve for the unknown: 12 - 8= 4 W=4 This problem can also be solved as a missing addend problem.
Copyright © Swun Math
8 + W= 12 W=4
Considerations: Students need to be exposed to many ways to represent the unknown (empty box, letters, and symbols). Problems in this lesson prepare students to work with “how many more” and “how many fewer” problems. Both will be needed in the following lessons.
These types of word problems can be solved as subtraction equations or as missing addend equations.
Steps: 1. Listen carefully to the numbers in the word problem. 2. Use the numbers to write an equation using a symbol or letter to represent the unknown. 3. Solve for the unknown.
Application of MPs: MP2: What math symbol can you use today? MP6: How do you know your answers are correct? MP7: What steps help you solve the problems?
Grade 1 Unit 10 Lesson 11 C TE
Answer Key: I/M
SGP
1. 6 — 5= 1
1. 10 – 8 =
= 1
FCU
1. 2 +
or 8 +
5 + = 6
HW
= 10 =2
1. 11 – 4 = or 4 +
= 5; =3
= 11
=7 2. 12 — 8 = V V=4
2. 7 – 4 = W or 4 + W = 7 W= 3
2. 9 – 6 = X or 6 + X = 9
2. B + 6 = 11;
X=3
B =5
8 + V = 12
3. 4 +
= 10; =6
4. C + 3 = 8; C =5
Copyright © Swun Math
Grade 1 Unit 10 Lesson 11 C TE
/ *MP1: Make sense of the problem and persevere in solving it! *MP8: Find a strategy to help solve the problem. Directions: Solve for the unknown in the following problems.
1. How many more than… ?
State the objective: Today I will use objects to solve comparing word problems where the difference is unknown.
Read the following word problem: There are 6 brown horses. There are 5 white horses. How many more brown horses are than white horses?
Model how to put 6 objects (representing the brown horses) and 5 objects (representing the white horses) next to each other. Brown horses White horses
Emphasize that if these two are compared there is one more brown horse than white horse.
Explain that to write this in an equation, start with the greater number and then subtract the smaller number to solve.
6 — 5= = Brown horses
White horses
6 — 5= 1 = 1
Explain that the unknown can also be solved as a missing addend problem.
5 + = 6 Copyright © Swun Math
Grade 1 Unit 10 Lesson 11 C TE
/ Directions: Solve for the unknown in the following problems.
2. How many fewer than… ?
Restate the objective: Today I will use objects to solve comparing word problems where the difference is unknown.
Read the following word problem: June has 8 toys. Colleen has 12 toys. How many fewer toys does June have than Colleen?
Model how to put 8 objects (representing June’s toys) and 12 objects (representing Colleen’s toys) next to each other. June’s toys Colleen’s toys
Emphasize that in comparing June and Colleen’s toys, June has 4 fewer toys.
Explain how to write this into an equation with a symbol for the unknown.
12 — 8 = V V= June’s toys Colleen’s toys
12 — 8 = 4 V=
Explain that the unknown can also be solved as a missing addend problem.
8 + V = 12
Copyright © Swun Math
Grade 1 Unit 10 Lesson 11 C TE
/ Directions: Solve for the unknown in the following problems.
1. How many more than… ?
Restate the objective.
Read the following word problem: Rachel has 10 crayons. Lori has 8 crayons. How many more crayons does Rachel have than Lori?
Direct students to use objects and write an equation representing the unknown to solve for the unknown.
10 – 8 =
or 8 +
= 10
=2
2. How many fewer than…?
Restate the objective.
Read the following word problem: There are 7 tennis balls and 4 baseballs. How many fewer baseballs are there than tennis balls?
Direct students to use objects and write an equation representing the unknown to solve for the unknown.
7 – 4 = W or 4 + W = 7 W= 3
Copyright © Swun Math
Grade 1 Unit 10 Lesson 11 C TE
Directions: Solve for the unknown in the following problems.
1. How many fewer than? There are 11 purple balloons and 4 orange balloons. How many fewer orange balloons are there than purple balloons?
11 – 4 =
or 4 +
= 11
=7
2. How many more than? There are 6 bananas and 9 watermelons. How many more watermelons are there than bananas?
9 – 6 = X or 6 + X = 9 X=3
*MP3: Do you agree/disagree with what said? *MP6: How do you know your answers are correct/reasonable?
Recap today’s lesson with one or more of the following MP questions: MP2: What math symbol did you use today? MP6: How did you know your answers were correct? MP7: What steps helped you solve the problems?
Copyright © Swun Math
Grade 1 Unit 10 Lesson 11 C TE
Name: ____________________________ Directions: Record the equation from the word problem. Solve for the unknown.
Date: ______________________________
1. There are 2 apples on a tree and some apples on the ground. In all, there are 5 apples. How many apples are on the ground?
2. Paul has some books on his desk and 6 books in his backpack. Altogether, he has 11 books. How many books are on his desk?
Equation:
Equation:
=
apples on ground
B =
books on his desk
3. Max has 4 pages of homework done and some pages of homework not done. He has 10 pages of homework in all. How many pages are not done?
4. Sophia has some blue crayons and 3 red crayons in her box. If she has 8 crayons in all, how many are blue crayons?
Equation:
Equation:
= Copyright © Swun Math
pages not done
C =
blue crayons
Grade 1 Unit 10 Lesson 11 C TE
Copyright © Swun Math
Grade 1 Unit 10 Lesson 11 C TE
MPs * Embedded MP
Conceptual Lesson Grade 1 · Unit 10 · Lesson 11
1
2
*
3
4
5
6
7
8
*
MC: 1.OA.1 Student Journal Pages
127-130
Today I will use objects to solve comparing word problems where the difference is unknown.
Vocabulary
Teacher Resources
Compare Difference Unknown: How many more – Word Problems: There are 6 brown horses. There are 5 white horses. How many more brown horses are there than white horses? 6-5=W
Unknown
Solve for the unknown: 6 - 5= 1 W=1 This problem can also be solved as a missing addend problem.
5+W=6 W=1
Compare Difference Unknown: How many fewer – Word Problems: June has 8 toys. Colleen has 12 toys. How many fewer toys does June have than Colleen? 12 - 8 = W
Unknown
Solve for the unknown: 12 - 8= 4 W=4 This problem can also be solved as a missing addend problem.
Copyright © Swun Math
8 + W= 12 W=4
Considerations: Students need to be exposed to many ways to represent the unknown (empty box, letters, and symbols). Problems in this lesson prepare students to work with “how many more” and “how many fewer” problems. Both will be needed in the following lessons.
These types of word problems can be solved as subtraction equations or as missing addend equations.
Steps: 1. Listen carefully to the numbers in the word problem. 2. Use the numbers to write an equation using a symbol or letter to represent the unknown. 3. Solve for the unknown.
Application of MPs: MP2: What math symbol can you use today? MP6: How do you know your answers are correct? MP7: What steps help you solve the problems?
Grade 1 Unit 10 Lesson 11 C TE
Answer Key: I/M
SGP
1. 6 — 5= 1
1. 10 – 8 =
= 1
FCU
1. 2 +
or 8 +
5 + = 6
HW
= 10 =2
1. 11 – 4 = or 4 +
= 5; =3
= 11
=7 2. 12 — 8 = V V=4
2. 7 – 4 = W or 4 + W = 7 W= 3
2. 9 – 6 = X or 6 + X = 9
2. B + 6 = 11;
X=3
B =5
8 + V = 12
3. 4 +
= 10; =6
4. C + 3 = 8; C =5
Copyright © Swun Math
Grade 1 Unit 10 Lesson 11 C TE
/ *MP1: Make sense of the problem and persevere in solving it! *MP8: Find a strategy to help solve the problem. Directions: Solve for the unknown in the following problems.
1. How many more than… ?
State the objective: Today I will use objects to solve comparing word problems where the difference is unknown.
Read the following word problem: There are 6 brown horses. There are 5 white horses. How many more brown horses are than white horses?
Model how to put 6 objects (representing the brown horses) and 5 objects (representing the white horses) next to each other. Brown horses White horses
Emphasize that if these two are compared there is one more brown horse than white horse.
Explain that to write this in an equation, start with the greater number and then subtract the smaller number to solve.
6 — 5= = Brown horses
White horses
6 — 5= 1 = 1
Explain that the unknown can also be solved as a missing addend problem.
5 + = 6 Copyright © Swun Math
Grade 1 Unit 10 Lesson 11 C TE
/ Directions: Solve for the unknown in the following problems.
2. How many fewer than… ?
Restate the objective: Today I will use objects to solve comparing word problems where the difference is unknown.
Read the following word problem: June has 8 toys. Colleen has 12 toys. How many fewer toys does June have than Colleen?
Model how to put 8 objects (representing June’s toys) and 12 objects (representing Colleen’s toys) next to each other. June’s toys Colleen’s toys
Emphasize that in comparing June and Colleen’s toys, June has 4 fewer toys.
Explain how to write this into an equation with a symbol for the unknown.
12 — 8 = V V= June’s toys Colleen’s toys
12 — 8 = 4 V=
Explain that the unknown can also be solved as a missing addend problem.
8 + V = 12
Copyright © Swun Math
Grade 1 Unit 10 Lesson 11 C TE
/ Directions: Solve for the unknown in the following problems.
1. How many more than… ?
Restate the objective.
Read the following word problem: Rachel has 10 crayons. Lori has 8 crayons. How many more crayons does Rachel have than Lori?
Direct students to use objects and write an equation representing the unknown to solve for the unknown.
10 – 8 =
or 8 +
= 10
=2
2. How many fewer than…?
Restate the objective.
Read the following word problem: There are 7 tennis balls and 4 baseballs. How many fewer baseballs are there than tennis balls?
Direct students to use objects and write an equation representing the unknown to solve for the unknown.
7 – 4 = W or 4 + W = 7 W= 3
Copyright © Swun Math
Grade 1 Unit 10 Lesson 11 C TE
Directions: Solve for the unknown in the following problems.
1. How many fewer than? There are 11 purple balloons and 4 orange balloons. How many fewer orange balloons are there than purple balloons?
11 – 4 =
or 4 +
= 11
=7
2. How many more than? There are 6 bananas and 9 watermelons. How many more watermelons are there than bananas?
9 – 6 = X or 6 + X = 9 X=3
*MP3: Do you agree/disagree with what said? *MP6: How do you know your answers are correct/reasonable?
Recap today’s lesson with one or more of the following MP questions: MP2: What math symbol did you use today? MP6: How did you know your answers were correct? MP7: What steps helped you solve the problems?
Copyright © Swun Math
Grade 1 Unit 10 Lesson 11 C TE
Name: ____________________________ Directions: Record the equation from the word problem. Solve for the unknown.
Date: ______________________________
1. There are 2 apples on a tree and some apples on the ground. In all, there are 5 apples. How many apples are on the ground?
2. Paul has some books on his desk and 6 books in his backpack. Altogether, he has 11 books. How many books are on his desk?
Equation:
Equation:
=
apples on ground
B =
books on his desk
3. Max has 4 pages of homework done and some pages of homework not done. He has 10 pages of homework in all. How many pages are not done?
4. Sophia has some blue crayons and 3 red crayons in her box. If she has 8 crayons in all, how many are blue crayons?
Equation:
Equation:
= Copyright © Swun Math
pages not done
C =
blue crayons
Grade 1 Unit 10 Lesson 11 C TE
Copyright © Swun Math
Grade 1 Unit 10 Lesson 11 C TE
