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Go Math Grade 1 Chapter 8 Answer Key Pdf Two-Digit Addition and Subtraction

Go Math Grade 1 Chapter 8 Answer Key Pdf: Elementary School Kids will feel the math concepts enjoyable to learn and teach by referring to our Go Math Grade 1 Answer Key Chapter 8 Two-Digit Addition and Subtraction. HMH Go Math Grade 1 Answers are thoughtfully constructed with an intense focus on key concepts of the Grade 1 Curriculum. Deepen your knowledge and enhance your math proficiency by learning the problem-solving approach from First Grade Go Math Chapter 8 Two-Digit Addition and Subtraction Answer Key.

Two-Digit Addition and Subtraction Go Math Grade 1 Chapter 8 Answer Key Pdf

With consistent practice from the HMH Go Math 1st Grade Ch 8 Solutions you can gain a complete body of math knowledge other than a discrete set of skills. Topicwise Go Math Grade 1 Chapter 8 Answer Key will create enduring knowledge that will stay with you from grade to grade. Look no further! and begin your preparation taking the help of the quick links available below. Simply click on the quick links to avail the respective topics within them easily.

Two-Digit Addition and Subtraction

• Two-Digit Addition and Subtraction Show What You Know – Page 434
• Two-Digit Addition and Subtraction Vocabulary Builder – Page 435
• Two-Digit Addition and Subtraction Game Neighborhood Sums – Page 436

Lesson: 1 Add and Subtract Within 20

• Lesson 8.1 Add and Subtract Within 20 – Page(437-442) 
• Add and Subtract Within 20 Homework & Practice 8.1 – Page(441-442)

Lesson: 2 Add Tens

• Lesson 8.2 Add Tens – Page(449-454)
• Add Tens Homework & Practice 8.2 – Page(453-454)

Lesson: 3 Subtract Tens

• Lesson 8.3 Subtract Tens – Page(449-454)
• Subtract Tens Homework & Practice 8.3 – Page(453-454)

Mid-Chapter Checkpoint

• Two-Digit Addition and Subtraction Mid-Chapter Checkpoint – Page 452

Lesson: 4 Use a Hundred Chart to Add

• Lesson 8.4 Use a Hundred Chart to Add – Page(455-460)
• Use a Hundred Chart to Add Homework & Practice 8.4 – Page(459-460)

Lesson: 5 Use Models to Add

• Lesson 8.5 Use Models to Add – Page(461-466)
• Use Models to Add Homework & Practice 8.5 – Page(465-466)

Lesson: 6 Make Ten to Add

• Lesson 8.6 Make Ten to Add – Page(467-472)
• Make Ten to Add Homework & Practice 8.6 – Page(471-472)

Lesson: 7 Use Place Value to Add

• Lesson 8.7 Use Place Value to Add – Page(473-478)
• Use Place Value to Add Homework & Practice 8.7 – Page(477-478)

Lesson: 8 Problem Solving • Addition Word Problems

• Lesson 8.8 Problem Solving • Addition Word Problems – Page(479-484)
• Problem Solving • Addition Word Problems Homework & Practice 8.8 – Page(483-484)

Lesson: 9 Related Addition and Subtraction

• Lesson 8.9 Related Addition and Subtraction – Page(485-490)
• Related Addition and Subtraction Homework & Practice 8.9 – Page(489-490)

Lesson: 10 Practice Addition and Subtraction

• Lesson 8.10 Practice Addition and Subtraction – Page(491-496)
• Practice Addition and Subtraction Homework & Practice 8.10 – Page(495-496)
• Two-Digit Addition and Subtraction Review/Test – Page(497-500)

Two-Digit Addition and Subtraction Show What You Know

Two-Digit Addition and Subtraction Vocabulary Builder

Understand Vocabulary Use a review word to complete each sentence. Question 1. 8 is the _____ for 17 _____ 9. Answer: 8 is the difference for 17 subtract 9.

Question 2. 17 is the _____ for 8 + 9. Answer: 17 is the sum for 8 + 9.

Question 3. When you _____ 4 to 8, you find the sum. Answer: When you add 4 to 8, you find the sum.

Question 4. When you _____ 4 from 8, you find the difference. Answer: When you subtract 4 from 8, you find the difference.

Two-Digit Addition and Subtraction Game Neighborhood Sums

• Make a ten to help you find the sum.

• If you are not correct, you lose a turn.

Two-Digit Addition and Subtraction Vocabulary Game

Materials 1 set of word cards

• 18 https://gomathanswerkey.com/wp-content/uploads/2021/02/1st-Grade-Go-Math-Answer-Key-Chapter-8-Two-Digit-Addition-and-Subtraction-2.4.png” alt=”1st Grade Go Math Answer Key Chapter 8 Two-Digit Addition and Subtraction 2.4″ width=”40″ height=”36″ class=”alignnone size-full wp-image-12779″ />

How to Play Play with a partner.

• Mix the cards. Put the cards in a pile with the blank side up.
• Take a card. Read the word.

• The other player takes a turn.

The Write Way Reflect Choose one idea. Draw and write about it.

• Write sentences that include at least two of these terms. add subtract addition sentence subtraction sentence

Lesson 8.1 Add and Subtract Within 20

Essential Question What strategies can you use to add and subtract?

Listen and Draw

What is 5 + 4? Use a strategy to solve the addition fact. Draw to show your work.

5 + 4 = _____ Answer: 5 + 4 = 9 5 + 4 is a addition sentence where 5 and 4 add to give the sum 9.

MATHEMATICAL PRACTICES Apply What strategy did you use to find the answer? Answer: Related fact.

Share and Show

Add or subtract. Question 1. 5 + 3 = _____ Answer: 5 + 3 = 8. Explanation: Given addition expression adding  5 and 3 gives the sum 8.

1st Grade Go Math Topic 8 Lesson 8.1 Question 2. 10 – 5 = _____ Answer: 10 – 5 = 5. Explanation: Given a subtraction expression subtracting 5 from 10 gives the difference 5. 5 + 5 = 10 adding the difference and the subtrahend gives the minuend.

Question 3. 3 + 6 = ____ Answer: 3 + 6 = 9 Explanation: Given addition expression adding  3 and 6 gives the sum 9.

Question 4. 12 – 5 = ____ Answer: 12 – 5 = 7. Explanation: Given a subtraction expression subtracting 5 from 12 gives the difference 7. 7 + 5 = 12 adding the difference and the subtrahend gives the minuend.

Question 5. 15 – 9 = ____ Answer: 15 – 9 = 6. Explanation: Given a subtraction expression subtracting 9 from 15 gives the difference 6. 9 + 6 = 15 adding the difference and the subtrahend gives the minuend.

Question 6. 5 + 7 = ____ Answer: 5 + 7 = 12 Explanation: Given addition expression adding  5 and 7 gives the sum 12.

Question 7. 8 + 7 = ____ Answer: 8 + 7 = 15. Explanation: Given addition expression adding  8 and 7 gives the sum 15.

Question 8. 9 – 7 = ____ Answer: 9 – 7 = 2 Explanation: Given a subtraction expression subtracting 7 from 9 gives the difference 2. 2 + 7 = 9 adding the difference and the subtrahend gives the minuend.

Question 9. 5 + 5 = ___ Answer: 5 + 5 = 10 Explanation: Given the addition expression adding  5  and 5 gives the sum 10.

Go Math 1st Grade Chapter 8 Lesson 8.1 Question 10. 12 – 7 = ____ Answer: 12 – 7 = 5 Explanation: Given a subtraction expression subtracting 7 from 12 gives the difference 5. 5 + 7 = 12 adding the difference and the subtrahend gives the minuend.

Question 11. 18 – 9 = ____ Answer: 18 – 9 = 9 Explanation: Given a subtraction expression subtracting 9 from 18 gives the difference 9. 9 + 9 = 18 adding the difference and the subtrahend gives the minuend.

Question 12. 9 + 4 = ____ Answer: 9 + 4 = 13 Explanation: Given addition expression adding  9 and 4 gives the sum 13.

Question 13. 2 + 7 = ___ Answer: 2 + 7 = 9 Explanation: Given addition expression adding  2  and 7 gives the sum 9.

Question 14. 5 – 1 = ____ Answer: 5 – 1 = 4. Explanation: Given a subtraction expression subtracting 1 from 5 gives the difference 4. 1 + 4 = 5 adding the difference and the subtrahend gives the minuend.

Question 15. 9 + 1 = ____ Answer: 9 + 1 = 10 Explanation: Given addition expression adding  9 and 1 gives the sum 10.

Question 16. 7 – 6 = ____ Answer: 7 – 6 = 1 Explanation: Given a subtraction expression subtracting 6 from 7 gives the difference 1. 1 + 6 = 7 adding the difference and the subtrahend gives the minuend.

Question 17. 13 – 4 = ____ Answer: 13 – 4 = 9 Explanation: Given a subtraction expression subtracting 4 from 13 gives the difference 9. 9 + 4 = 13 adding the difference and the subtrahend gives the minuend.

Question 18. 2 + 6 = ____ Answer: 2 + 6 = 8 Explanation: Given addition expression adding  2 and 6 gives the sum 8.

On Your Own

Problem Solving • Applications

TAKE HOME ACTIVITY • Have your child tell a strategy he or she would use to solve 4 + 8.

Add and Subtract Within 20 Homework & Practice 8.1

Problem Solving Solve. Draw or write to explain. Question 13. Jesse has 4 shells. He finds some more. Now he has 12 shells. How many more shells did Jesse find? _______ more shells Answer: Number of shells Jesse had at first = 4 shells After finding some more Total number of shells Jesse have =12 shells Number of shells Jesse find= Total shells – number of shells at first 12 – 4 = 8 Jesse found 8 more shells.

Question 14. WRITE Write an addition and subtraction fact. Then write a strategy you could use to solve the fact. __________________ ___________________ Answer: 8 + 9 = 17 9 – 8 = 1 The strategy i used to solve it is related fact.

Lesson Check Question 1. What is the sum? Write the number. 8 + 5 = ______ Answer: 8 + 5 = 13 13 is the SUM. Explanation: Sum is the result of adding two or more numbers. 8 and 5 are two number which are added to get the sum 13.

Question 2. What is the difference? Write the number. 11 – 4 = ______ Answer: 11 – 4 = 7 7 is the difference between 11 and 4. Explanation: Difference is the result of subtracting one number from another. 4 is subtracted from 11 and got the difference 7.

Lesson 8.2 Add Tens

Essential Question How can you add tens?

Choose a way to show the problem. Draw a quick picture to show your work.

MATHEMATICAL PRACTICES Reasoning Why will there be no ones in your answer when you add 20 + 30? Answer: There are no ones when we add 20 and 30 because they both are in tens places and there is no ones place in both the number. 20 + 30 = 50

Model and Draw

Explanation: ONE line represents tens 1 line = 10 30 + 30 = 60 60 = 6 lines

Explanation: ONE line represents tens 1 line = 10 40 + 50 = 90 90 = 9 lines

Explanation: ONE line represents tens 1 line = 10 50 + 30 = 80 80 = 8 lines

Explanation: ONE line represents tens 1 line = 10 40 + 40 = 80 80 = 8 lines

Explanation: ONE line represents tens 1 line = 10 70 + 20 = 90 90 = 9 lines

Explanation: ONE line represents tens 1 line = 10 10 + 80 = 90 90 = 9 lines

Explanation: ONE line represents tens 1 line = 10 60 + 80 = 140 140 = 14 lines

TAKE HOME ACTIVITY • Ask your child to explain how to use tens to find 20 + 70.

Add Tens Homework & Practice 8.2

Explanation: ONE line represents tens 1 line = 10 10 + 30 = 40 40 = 4 lines

Problem Solving Draw tens to solve. Question 5. Drew makes 20 posters. Tia makes 30 posters. How many posters do they make? ______ posters Answer: Number of posters Drew made = 20 Number of posters Tia made = 30 Total number of posters both Drew and Tia make = Number of posters made by Drew + Number of posters made by Tia 20 + 30 = 50 Total 50 posters made by both.

Question 6. Regina read 40 pages. Alice read 50 pages. How many pages did they read? ______ pages Answer: Number of pages Regina read = 40 Number of pages read by Alice = 50 Total number of pages read by both = Number of pages read by Regina + Number of pages read by Alice 40 + 50 = 90 Total 90 pages read by both.

Explanation: ONE line represents tens 1 line = 10 20 + 30 = 50 50 = 5 lines

Explanation: ONE line represents tens 1 line = 10 30 + 10 = 40 40 = 4 lines

Spiral Review Question 3. Write a doubles fact that can help you solve 6 + 5 = 11 ___ + ___ = _____ Answer: 6 + 5 = 11 (3 +3) + (3 + 3 ) = 11 6 + 6 =11 12 =11 The above expression is doubles minus 1

Lesson 8.3 Subtract Tens

Essential Question How can you subtract tens?

MATHEMATICAL PRACTICES Represent How does your picture show the first problem? Answer:

TAKE HOME ACTIVITY • Ask your child to explain how to use tens to find 90 − 70.

Subtract Tens Homework & Practice 8.3

Explanation: We subtract the subtrahend from the minuend to get the difference. 70 – 30 = 40 70 is minuend and 30 is subtrahend and 40 is difference of both ONE line represents tens 1 line = 10 70 – 30 = 40 40 = 4 lines

Two-Digit Addition and Subtraction Mid-Chapter Checkpoint

Concepts and Skills

Explanation: ONE line represents tens 1 line = 10 30 + 50 = 80 80 = 8 lines

Explanation: ONE line represents tens 1 line = 10 40 + 20 = 60 60 = 6 lines

Lesson 8.4 Use a Hundred Chart to Add

Essential Question How can you use a hundred chart to count on by ones or tens?

MATHEMATICAL PRACTICES Explain how you can use a hundred chart to find each sum. Answer:

Explanation: From 13 we need to count 70 13 + 70 = 83 To reach 83 from 13 we need 10 ones count and 6 tens count. 13 to 20 – 7 one’s counts and 20 to 80 – 6 tens counts. 80 to 83 we need 3 ones count.

Explanation: From 22 we need to count 6 22 + 6 = 28 To reach 28 from 22 we need 6 ones count.

Explanation: From 71 we need to count 3 71 + 3 = 74 To reach 74 from 71 we need 3 ones count. 71 – 74 we need 3 ones count.

Explanation: From 49 we need to count 50 49 + 50 = 99 To reach 99 from 49 we need 10 ones count and 4 tens count. 49 to 50 – 1 ones counts and 50 to 90 – 4 Tens counts. 90 – 99 we need 9 ones count.

Explanation: From 53 we need to count 4 53 + 4 = 57 To reach 57 from 53 we need 4 ones count. 53 – 57 we need 4 ones count.

Explanation: From 25 we need to count 40 25 + 40 = 65 To reach 65 from 25 we need 10 ones count and 3 tens count.  25 to 30 – 5 ones counts and 30 to 60 – 3 tens counts. 60 to 65 we need 5 ones count.

Explanation: From 31 we need to count 20 first 31 + 20 = 51 To reach 51 from 31 we need 10 ones count and 1 tens count. 31 to 40 – 9 ones counts and 40- 50 1 tens counts. 50 – 51 we need 1 ones count. From 51 we need to count 40 more 51 + 40 = 91 To reach 91 from 51 we need 10 ones count and 3 tens count. 51 to 60 – 9 ones counts and 60- 90 3 tens counts. 90 – 91 we need 1 ones count.

TAKE HOME ACTIVITY • On a piece of paper, write 36 + 40. Ask your child to explain how to use the hundred chart to count on by tens to find the sum.

Use a Hundred Chart to Add Homework & Practice 8.4

Problem Solving Choose a way to solve. Draw or write to show your work. Question 5. 17 children are on the bus. Then 20 more children get on the bus. How many children are on the bus now? ______ children Answer: Number of students in the bus at first = 17 Later few more got into the bus Number of students who got into the bus later = 20 Total number of students in the bus = 17 + 20 = 37 Total 37 students in the bus.

Spiral Review Question 3. Use mental math. What number is ten less than 52? Write the number. ______ Answer: Number Ten less than 52 = 52 – 10 = 42 42 is the number.

Question 4. Write an addition fact that helps you solve 16 − 9. ____ + ____ = _____ Answer: 16 – 9 = 7 7 + 9 = 16.

Lesson 8.5 Use Models to Add

Essential Question How can models help you add ones or tens to a two-digit number?

MATHEMATICAL PRACTICES Model Explain how you found the sum. Answer:

Explanation: 13 = 1 tens and 3 ones 50 = 5 tens when adding 13 + 50 we add the tens and keep the ones constant as their is no ones place in the second addend (1 tens + 3 ones) + 5 tens =  (1 + 5) tens + 3 ones 6 tens + 3 ones 13 + 50 = 63.

Explanation: 28 = 2 tens and 8 ones 30 = 3 tens when adding 28 + 30 we add the tens and keep the ones constant as their is no ones place in the second addend (2 tens + 8 ones) + 3 tens =  (2 + 3) tens + 8 ones 5 tens + 8 ones 28 + 30 = 58.

Explanation: 65 = 6 tens and 5 ones 3 = 3 ones when adding 65 + 3 we add the ones and keep the tens constant as their is no tens place in the second addend (6 tens +5 ones) + 3 ones =  6 tens +(5 + 3) ones 6 tens + 8 ones 65 + 3 = 68.

Number of oak trees = 7 Number of pine trees = 32 Total number of trees in park =7 + 32 = 39

TAKE HOME ACTIVITY • Give your child the addition problems 25 + 3 and 25 + 30. Ask your child to explain how to solve each problem.

Use Models to Add Homework & Practice 8.5

Explanation: 44 = 4 tens and 4 ones 5 = 5 ones when adding   44 + 5 we add the ones and keep the tens constant as their is no tens place in the first addend 4 tens + 4 ones +5 ones  =  4 tens +(4+5)ones 4 tens + 9 ones = 49 44 + 5 = 49

Explanation: 52 = 5 tens and 2 ones 7 = 7 ones when adding  52 + 7 we add the ones and keep the tens constant as their is no tens place in the first addend 5 tens + 2 ones +7 ones  =  5 tens +(2+7)ones 5 tens + 9 ones = 59 52+ 7 = 59.

Problem Solving

Solve. Draw or write to explain. Question 11. Maria has 21 marbles. She buys a bag of 20 marbles. How many marbles does Maria have now? ______ marbles Answer: Number of marbles Maria had = 21 Number of marbles Maria bought = 20 Total number of marbles Maria have now = 21 + 20 = 41.

Question 12. WRITE Write a story problem about 40 apples and 17 pears. Answer:

Explanation: 37 = 3 tens and 7 ones 2 = 2 ones when adding 37 + 2 we add the ones and keep the tens constant as their is no tens place in the first addend 3 tens + 7 ones + 2 ones =  3 tens +(7 + 2)ones 3 tens + 9 ones = 39 37 + 2 = 39

Spiral Review Question 3. Write two ways to make 15. ____ + ____ = 15 _____ + ____ = 15 Answer: 10 + 5 = 15 3 + 12 = 15

Lesson 8.6 Make Ten to Add

Essential Question How can making a ten help you add a two-digit number and a one-digit number?

Explanation: 58 + 5 = 63 while adding the ones 8 + 5 we are borrowing 2 ones from 5 to make it tens. Remaining 3 ones are added to the tens. 58 + 5 =58 + 2 +3 = 60 + 3 = 63

TAKE HOME ACTIVITY • Ask your child to explain how to find the sum for 25 + 9.

Make Ten to Add Homework & Practice 8.6

Choose a way to solve. Draw or write to show your work. Question 3. Debbie has 27 markers. Sal has 9 markers. How many markers do they have? _______ markers Answer: Number of markers with Debbie = 27 Number of markers with Sal = 9 Total number of markers both have = 27 + 9 = 36. 36 markers.

Question 4. Write a number to make the sentence true. 5 + 4 = 10 – ______ Answer: 5 + 4 = 10 – 1

Lesson 8.7 Use Place Value to Add

Essential Question How can you model tens and ones to help you add two-digit numbers?

MATHEMATICAL PRACTICES Describe How many tens? How many ones? How many in all? Answer:

TAKE HOME ACTIVITY • Write the numbers 42 and 17. Have your child tell how to find the sum by adding the tens and ones.

Use Place Value to Add Homework & Practice 8.7

Question 4. WRITE Write and solve a story problem to add 12 and 18. Answer: Ram has 12 five star chocolates. Ravi has 18 much chocolates. How many chocolates does they have..? Answer: Number of chocolates Ram have = 12 Number of chocolates Ravi have =18 Total number of chocolates does both have = 12 + 18 = 30.

Spiral Review Question 3. I have 28 cubes. How many tens and ones can I make? _____ tens ____ ones _____ ten _____ ones Answer: You can make as below 2 tens 8 ones 1 ten 18 ones

Lesson 8.8 Problem Solving • Addition Word Problems

Essential Question How can drawing a picture help you explain how to solve an addition problem?

Show how to solve the problem.

____________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _____________________ Answer: Number of toy cars Kelly got = 6 Number of toy cars Kelly had = 18 Total number of toy cars with Kelly = 18 + 6 = 24.

HOME CONNECTION • Being able to show and explain how to solve a problem helps your child build on their understanding of addition.

Try Another Problem

MATHEMATICAL PRACTICES Explain the addition strategy you used to solve Exercise 1. Answer:

TAKE HOME ACTIVITY • Ask your child to solve 16 + 7, 30 + 68, and 53 + 24. Ask him or her to explain how they solved each problem.

Problem Solving • Addition Word Problems Homework & Practice 8.8

Lesson 8.9 Related Addition and Subtraction

Essential Question How can you use a hundred chart to show the relationship between addition and subtraction?

MATHEMATICAL PRACTICES Apply Describe how you can use a hundred chart to find the sum and the difference. Answer:

Explanation: The given question is a tens count addition and subtraction. first sentence = 73 + 10 = 83 it is represented with blue color. its a down flow. So, from 73 we count 1 tens down. Second sentence = 83 – 10 = 73 it is represented with orange color. its a up flow. So, from 83 we count 1 tens up.

Explanation: The given question is a tens count addition and subtraction. first sentence = 18 + 40 = 58 it is represented with blue color. its a down flow. So, from 18 we count 4 tens down. Second sentence = 58 – 40 = 18 it is represented with orange color. its a up flow. So, from 58 we count 4 tens up.

Explanation: The given question is a tens count addition and subtraction. first sentence = 27+ 50 = 77 it is represented with blue color. its a down flow. So, from 27 we count 5 tens down. Second sentence = 77 – 50 = 27 it is represented with orange color. its a up flow. So, from 77 we count 5 tens up.

TAKE HOME ACTIVITY • On slips of paper, write 36 + 40 and 76 − 40. Ask your child to explain how to use the hundred chart to count up and back by tens to find the sum and the difference.

Related Addition and Subtraction Homework & Practice 8.9

Explanation: The given question is a tens count addition and subtraction. first sentence = 16 + 60 it is represented with blue color. its a down flow. So, from 16 we count 6 tens down. Second sentence = 76 – 60 it is represented with orange color. its a up flow. So, from 76 we count 6 tens up.

Explanation: The given question is a tens count addition and subtraction. first sentence = 61 + 30 it is represented with blue color. its a down flow. So, from 61 we count 3 tens down. Second sentence =91 – 30 it is represented with orange color. its a up flow. So, from 91 we count 3 tens up.

Explanation: The given question is a tens count addition and subtraction. first sentence = 64 + 20 it is represented with blue color. its a down flow. So, from 64 we count 2 tens down. Second sentence = 84 – 20 it is represented with orange color. its a up flow. So, from 84 we count 2 tens up.

Choose a way to solve. Draw or write to show your work. Question 4. There are 53 leaves in a tree. 20 leaves blow away. How many leaves are left in the tree? ______ leaves Answer: Total number of leaves on the tree = 53 leaves Number of leaves blow away = 20 Number of leaves left on the tree = 53 – 20 = 33 33 leaves.

Explanation: The given question is a tens count addition and subtraction. first sentence = 37 + 50 it is represented with blue color. its a down flow. So, from 37 we count 5 tens down.

Lesson 8.10 Practice Addition and Subtraction

Essential Question What different ways can you use to add and subtract?

MATHEMATICAL PRACTICES Describe How did you solve the problem? Answer:

Explanation: 29 + 4 while adding the ones 9 + 4 we are borrowing 1 ones from 4 ones to make it tens. Remaining 3 ones are added to the tens. 29 + 4 29 +1 +3 30 + 3 33.

Explanation: 9 + 9 while adding the ones 9 +9 we are borrowing 1 ones from 9 ones to make it tens. Remaining 8 ones are added to the tens. 9 + 9 9 + 1 + 8 10 + 8 18.

Question 8. 15 – 8 = ______ Answer: 7 + 8 = 15 15 – 8 = 7 Explanation: We subtract the subtrahend from the minuend to get the difference. 15 – 8 = 7 15 is minuend and 8 is subtrahend and 7 is difference of both 15 – 8 = 7 7.

Explanation: We subtract the subtrahend from the minuend to get the difference. 40 – 10 = 30 40 is minuend and 10 is subtrahend and 30 is difference of both ONE line represents tens 1 line = 10 40 – 10 = 30 30 = 3 lines

Explanation: We subtract the subtrahend from the minuend to get the difference. 14 – 7 = 7 14 is minuend and 7 is subtrahend and 7 is difference of both 14 – 7 7.

Explanation: 6 + 7 = 13 while adding the ones 6 + 7  we are borrowing 4 ones from 7 ones to make it tens. Remaining 3 ones are added to the tens. 6+7 6 + 4 + 3 10 + 3 13.

Explanation: We subtract the subtrahend from the minuend to get the difference. 9 – 2 9 is minuend and 2 is subtrahend and 7 is difference of both 9 – 2 7.

Explanation: We subtract the subtrahend from the minuend to get the difference. 12 – 3 = 9 12 is minuend and 3 is subtrahend and 9 is difference of both 12 – 3 = 9.

Explanation: 16 + 7 while adding the ones 6 + 7 we are borrowing 4 ones from 7 ones to make it tens. Remaining 3 ones are added to the tens. 16 + 7 16 + 4 + 3 20 + 3 23.

Explanation: Any number subtracted from the the number itself gives the difference zero.0

Explanation: 3 + 8 while adding the ones 3 + 8 we are borrowing 7 ones from 1 ones to make it tens. Remaining 1 ones are added to the tens. 3 + 8 3 + 7 + 1 10 + 1 11.

Solve. Write or draw to explain. Question 35. THINK SMARTER Lara collects 8 more stamps than Samson. Samson collects 39 stamps. How many stamps does Lara collect? ______ stamps Answer: Number of Stamps Samson collect = 39 Number of Stamps Lara Collect = 8 more than Samson = 8 + 39 = 47

Question 37. THINK SMARTER Adel drew 10 more stars than Charlie. Charlie drew 24 stars. How many stars did Adel draw? ______ stars Answer: Number of stars Charlie drew = 24 stars. Adel drew 10 more stars than Charlie. = 24 + 10 = 34 Number of stars adel draw = 34

Question 39. THINK SMARTER Find the sum of 23 and 30. Use any way to add. 23 + 30 = _______ Explain how you solved the problem. Answer: 23 + 30 = 53 30 + 23 = 53 Explanation : Whatever may be the order of addends but the sum always remains the same .

TAKE HOME ACTIVITY • Have your child explain how he or she solved Exercise 36.

Practice Addition and Subtraction Homework & Practice 8.10

Problem Solving Solve. Write or draw to explain. Question 11. Andrew read 17 pages of his book before dinner. He read 9 more pages after dinner. How many pages did he read? ______ pages Answer: Number of pages Andrew read before dinner = 17 Number of pages Andrew read after dinner = 9 more = 9 + 17 = 26 Number of pages Andrew read = 17 + 26 = 43

Question 12. WRITE Write two ways you could use to find 5 + 8. Answer: 5 + 8 = 13 8 + 5 = 13 Explanation : Whatever may be the order of addends but the sum always remains the same .

Lesson Check Question 1. What is the sum of 20 + 18? Write the sum. 20 + 18 = ______ Answer: 20 + 18 = 38 Explanation : Adding addend 20 and 18  gives the sum 38 .

Question 2. What is the difference of 90 − 50? Write the difference. 90 – 50 = ______ Answer: 90 – 50 = 40 Explanation : the Minuend 90 is subtrahend with 50 gives the difference 40

Question 4. Solve. Mo had some toys. He gave 6 away. Now he has 6 toys. How many toys did Mo start with? ______ toys Answer: Number of toys with Mo = x Number of toys Mo gave = 6 away = x – 6 Number of toys with Mo now = 6 x – 6 = 6 x = 6 + 6 = 12 Number of toys Mo started with = 12

Two-Digit Addition and Subtraction Review/Test

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Unit 3: Linear relationships

Lesson 3: representing proportional relationships.

• Graphing proportional relationships: unit rate (Opens a modal)
• Graphing proportional relationships from a table (Opens a modal)
• Graphing proportional relationships from an equation (Opens a modal)
• Graphing proportional relationships Get 3 of 4 questions to level up!

Lesson 4: Comparing proportional relationships

• Rates & proportional relationships example (Opens a modal)
• Rates & proportional relationships: gas mileage (Opens a modal)
• Rates & proportional relationships Get 5 of 7 questions to level up!

Lesson 7: Representations of linear relationships

• Linear & nonlinear functions: missing value (Opens a modal)

Lesson 8: Translating to y=mx+b

• Intro to slope-intercept form (Opens a modal)
• Graph from slope-intercept equation (Opens a modal)

Lesson 9: Slopes don't have to be positive

• Intro to intercepts (Opens a modal)
• Slope-intercept equation from slope & point (Opens a modal)
• Linear & nonlinear functions: word problem (Opens a modal)
• Intercepts from a graph Get 3 of 4 questions to level up!
• Slope from graph Get 3 of 4 questions to level up!
• Slope-intercept intro Get 3 of 4 questions to level up!
• Graph from slope-intercept form Get 3 of 4 questions to level up!
• Slope-intercept equation from graph Get 3 of 4 questions to level up!

Lesson 10: Calculating slope

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• Slope from two points Get 3 of 4 questions to level up!

Lesson 11: Equations of all kinds of lines

• Converting to slope-intercept form (Opens a modal)

Extra practice: Slope

• Intro to slope (Opens a modal)
• Worked examples: slope-intercept intro (Opens a modal)
• Graphing slope-intercept form (Opens a modal)
• Writing slope-intercept equations (Opens a modal)
• Slope-intercept form review (Opens a modal)
• Slope-intercept from two points Get 3 of 4 questions to level up!

Lesson 12: Solutions to linear equations

• Solutions to 2-variable equations (Opens a modal)
• Worked example: solutions to 2-variable equations (Opens a modal)
• Solutions to 2-variable equations Get 3 of 4 questions to level up!

Lesson 13: More solutions to linear equations

• Completing solutions to 2-variable equations (Opens a modal)
• Complete solutions to 2-variable equations Get 3 of 4 questions to level up!

Extra practice: Intercepts

• x-intercept of a line (Opens a modal)
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Home > CC3 > Chapter Ch8 > Lesson 8.3.1

Lesson 8.1.1, lesson 8.1.2, lesson 8.1.3, lesson 8.2.1, lesson 8.2.2, lesson 8.2.3, lesson 8.2.4, lesson 8.3.1.

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Curriculum  /  Math  /  8th Grade  /  Unit 4: Functions  /  Lesson 1

Lesson 1 of 12

Criteria for Success

Tips for teachers, anchor problems, problem set, target task, additional practice.

Define and identify functions.

Common Core Standards

Core standards.

The core standards covered in this lesson

8.F.A.1 — Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. Function notation is not required in Grade 8.

The essential concepts students need to demonstrate or understand to achieve the lesson objective

• Define a function as a relationship between two sets in which every input has exactly one output. 
• Create input/output tables to represent relationships. 
• Determine if input/output tables and relationships are examples of functions.
• Identify examples of non-functions in which either an input does not have an output or an input has more than one output. 

Suggestions for teachers to help them teach this lesson

This lesson introduces students to the concept of a function to describe a relationship. Though they have worked with functions prior to eighth grade with equations and proportional relationships, this is the first time they will formally define it. Through this unit and the next unit, students will explore functions in-depth; this lesson provides the basic definition of a function as a relationship of inputs and outputs where every input has exactly one output.

Lesson Materials

• Optional : Dry erase marker (1 per student)
• Optional : White board (1 per student)

Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.

Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding

Put the letters A, B, C, and D around your classroom. Tell students that they should respond to each question you ask by standing under the letter that represents their answer.

b.   Each point on the graph below shows how many shots a player on a basketball team took and made in the first half of a game.

Guiding Questions

Introducing Functions , accessed on Oct. 26, 2017, 7:57 p.m., is licensed by Illustrative Mathematics under either the  CC BY 4.0  or  CC BY-NC-SA 4.0 . For further information, contact Illustrative Mathematics .

Create an input/output table for each rule below.

a.   Input any number. Add 2, then square the number.

b.   Input any number. If it is greater than or equal to 6, then record a 0; if it less than or equal to 6, then record a 1. 

A set of suggested resources or problem types that teachers can turn into a problem set

Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.

A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved

In each example below, an arrow is used to show an input mapping to an output. Determine which relationships are functions. For each relationship that is not a function, explain why.

Student Response

An example response to the Target Task at the level of detail expected of the students.

The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.

• Problems similar to the Target Task, where students are given tables or input/output maps and determine if they are functions
• Illustrative Mathematics Introducing Functions — Part a.iii and examples in commentary section
• Open Up Resources Grade 8 Unit 5 Practice Problems — Lesson 1 Problems 1-2 and Lesson 2 Problem 4
• EngageNY Mathematics Grade 8 Mathematics > Module 5 > Topic A > Lesson 2 — Exercises #2-4 and Problem Set #1-5,#9
• Desmos Guess My Rule

Topic A: Defining Functions

Use function language to describe functions. Identify function rules.

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Topic B: Representing and Interpreting Functions

Identify properties of functions represented in tables, equations, and verbal descriptions. Evaluate functions.

8.F.A.1 8.F.A.2 8.F.B.4

Represent functions with equations.

8.F.A.1 8.F.B.4

Read inputs and outputs in graphs of functions. Determine if graphs are functions.

Identify properties of functions represented in graphs.

Topic C: Comparing Functions

Define and graph linear and nonlinear functions.

Determine if functions are linear or nonlinear when represented as tables, graphs, and equations.

8.F.A.1 8.F.A.3

Compare functions represented in different ways (Part 1).

Compare functions represented in different ways (Part 2).

Topic D: Describing and Drawing Graphs of Functions

Describe functions by analyzing graphs. Identify intervals of increasing, decreasing, linear, or nonlinear activity.

Sketch graphs of functions given qualitative descriptions of the relationship.

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Eureka Math Grade 4 Module 1 Lesson 8 Answer Key

Engage ny eureka math 4th grade module 1 lesson 8 answer key, eureka math grade 4 module 1 lesson 8 sprint answer key.

Question 1. 0 10 Answer: 0  5 10

Explanation: given The starting number 0 The ending number 10 The half way point of 0 and 10 is 5. So, the mid point of 0 and 10 is 5.

Question 2. 0 100 Answer: 0  50 100

Explanation: given The starting number 0 The ending number 100 The half way point of 0 and 100 is 50. So, the mid point of 0 and 100 is 50.

Question 3. 0 1000 Answer: 0 500 1000

Explanation: given The starting number 0 The ending number 1000 The half way point of 0 and 1000 is 500 . So, the mid point of 0 and 1000 is 500 .

Question 4. 10 20 Answer: 10  15  20

Explanation: given The starting number 10 The ending number 20 The half way point of 10 and 20 is 15 .

Question 5. 100 200 Answer: 100  150 200

Explanation: given The starting number 100 The ending number 200 The half way point of 100 and 200 is 150.

Question 6. 1000 2000 Answer: 1000  1500  2000

Explanation: given The starting number 1000 The ending number 2000 The half way point of 1000 and 2000 is 1500 .

Question 7. 30 40 Answer: 30  35   40

Explanation: given The starting number 30 The ending number 40 The half way point of 30 and 40 is 35 .

Question 8. 300 400 Answer: 300  350  400

Explanation: given The starting number 300 The ending number 400 The half way point of 300 and 400 is 350 ..

Question 9. 400 500 Answer: 400  450   500

Explanation: given The starting number 400 The ending number 500 The half way point of 400 and 500 is 450 .

Question 10. 20 30 Answer: 20  25  30

Explanation: given The starting number 20 The ending number 30 The half way point of 20 and 30 is 25 .

Question 11. 30 40 Answer: 30  35  40

Question 12. 40 50 Answer: 40  45 50

Explanation: given The starting number 40 The ending number 50 The half way point of 40 and 50 is 45 .

Question 13. 50 60 Answer: 50   55  60

Explanation: given The starting number 50 The ending number 60 The half way point of 50 and 60 is 55 .

Question 14. 500 600 Answer: 500  550 600 Explanation: given The starting number 500 The ending number 600 The half way point of 500 and 600 is 550.

Question 15. 5000 6000 Answer: 5000     5500  6000 Explanation: given The starting number 5000 The ending number 6000 The half way point of 5000 and 6000 is 5500 .

Question 16. 200 300 Answer: 200  250  300 Explanation: given The starting number 200 The ending number 300 The half way point of 200 and 300 is 250 .

Question 17. 300 400 Answer: 300  350 400 Explanation: given The starting number 300 The ending number 400 The half way point of 300 and 400 is 350.

Question 18. 700 800 Answer: 700  750  800 Explanation: given The starting number 700 The ending number 800 The half way point of 700 and 800 is 750 .

Question 19. 5700 5800 Answer: 5700  5750  5800

Explanation: given The starting number 5700 The ending number 5800 The half way point of 5700 and 5800 is 5750 .

Question 20. 70 80 Answer: 70  75  80 Explanation: given The starting number 70 The ending number 80 The half way point of 70 and 80 is 75. So, the mid point of 70 and 80 is 75.

Question 21. 670 680 Answer: 670  675  680

Explanation: given The starting number 670 The ending number 680 The half way point of 670 and 680 is 675.

Question 22. 6700 6800 Answer: 6700  6750 6800

Explanation: given The starting number 6700 The ending number 6800 The half way point of 6700 and 6800 is 6750 .

Question 23. 6000 7000 Answer: 6000    6500  7000

Explanation: given The starting number 6000 The ending number 7000 The half way point of 6000 and 7000 is 6500 .

Question 24. 600 700 Answer: 600    650  700 Explanation: given The starting number 600 The ending number 700 The half way point of 600 and 700 is 650.

Question 25. 60 70 Answer: 60  65  70

Explanation: given The starting number 60 The ending number 70 The half way point of 60 and 70 is 65.

Question 26. 260 270 Answer: 260    265  270

Explanation: given The starting number 260 The ending number 270 The half way point of 260 and 270 is 265.

Question 27. 9260 9270 Answer: 9260    9265  9270

Explanation: given The starting number 9260 The ending number 9270 The half way point of 9260 and 9270 is 9265.

Question 28. 80 90 Answer: 80    85  90

Explanation: given The starting number 80 The ending number 90 The half way point of 80 and 90 is 85.

Question 29. 90 100 Answer: 90    95  100

Explanation: given The starting number 90 The ending number 100 The half way point of 90 and 100 is 95.

Question 30. 990 1000 Answer: 990    995 1000

Explanation: given The starting number 990 The ending number 1000 The half way point of 990 and 1000 is 995.

Question 31. 9990 10,000 Answer: 9990    9995 10,000

Explanation: given The starting number 9990 The ending number 10,000 The half way point of 9990 and 10,000 is 9995.

Question 32. 440 450 Answer: 440    445 450

Explanation: given The starting number 440 The ending number 450 The half way point of 440 and 450 is 445.

Question 33. 8300 8400 Answer: 8300  8350  8400

Explanation: given The starting number 8300 The ending number 8400 The half way point of 8300 and 8400 is 8350.

Question 34. 680 690 Answer: 680  685  690

Explanation: given The starting number 680 The ending number 690 The half way point of 680 and 690 is 685.

Question 35. 9400 9500 Answer: 9400    9450  9500

Explanation: given The starting number 9400 The ending number 9500 The half way point of 9400 and 9500 is 9450.

Question 36. 3900 4000 Answer: 3900   3950   4000

Explanation: given The starting number 3900 The ending number  4000 The half way point of 3900 and 4000 is 3950.

Question 37. 2450 2460 Answer: 2450    2455  2460

Explanation: given The starting number 2450 The ending number 2460 The half way point of 2450 and 2460 is 2455.

Question 38. 7080 7090 Answer: 7080  7085 7090

Explanation: given The starting number 7080 The ending number 7090 The half way point of 7080 and 7090 is 7085.

Question 39. 3200 3210 Answer: 3200  3205  3210

Explanation: given The starting number 3200 The ending number 3210 The half way point of 3200 and 3210 is 3205.

Question 40. 8630 8640 Answer: 8630  8635  8640

Explanation: given The starting number 8630 The ending number 8640 The half way point of 8630 and 8640 is 8635.

Question 41. 8190 8200 Answer: 8190  8195  8200

Explanation: given The starting number 8190 The ending number 8200 The half way point of 8190 and 8200 is 8195.

Question 42. 2510 2520 Answer: 2510    2515  2520

Explanation: given The starting number 2510 The ending number 2520 The half way point of 2510 and 2520 is 2515.

Question 43. 4890 4900 Answer: 4890  4895  4900

Explanation: given The starting number 4890 The ending number 4900 The half way point of 4890 and 4900 is 4895.

Question 44. 6660 6670 Answer: 6660  6665  6670

Explanation: given The starting number 6660 The ending number 6670 The half way point of 6660 and 6670 is 6665.

Question 1. 10 20 Answer: 10  15  20

Explanation: given The starting number 10 The ending number 20 The half way point of 10 and 20 is 15.

Question 2. 100 200 Answer: 100  150  200

Question 3. 1000 2000 Answer: 1000    1500  2000

Explanation: given The starting number 1000 The ending number 2000 The half way point of 1000 and 2000 is 1500.

Question 4. 20 30 Answer: 20  25  30

Explanation: given The starting number 20 The ending number 30 The half way point of  20 and 30 is 25.

Question 5. 200 300 Answer: 200  250  300

Explanation: given The starting number 200 The ending number 300 The half way point of 200 and 300 is 250.

Question 6. 2000 3000 Answer: 2000  2500  3000

Explanation: given The starting number 2000 The ending number 3000 The half way point of 2000 and 3000 is 2500.

Question 7. 40 50 Answer: 40  45 50

Explanation: given The starting number 40 The ending number 50 The half way point of 40 and 50 is 45.

Question 8. 400 500 Answer: 400  450  500

Explanation: given The starting number 400 The ending number 500 The half way point of 400 and 500 is 450.

Question 9. 500 600 Answer: 500  550  600

Explanation: given The starting number 500 The ending number 600 The half way point of 500 and 600 is 550.

Question 10. 30 40 Answer: 30  35  40

Explanation: given The starting number 30 The ending number 40 The half way point of 30 and 40 is 35.

Question 11. 40 50 Answer: 40  45  50

Question 12. 50 60 Answer: 50  55  60

Explanation: given The starting number 50 The ending number 60 The half way point of 50 and 60 is 55.

Question 13. 60 70 Answer: 60  65  70

Question 14. 600 700 Answer: 600  650  700

Explanation: given The starting number 600 The ending number 700 The half way point of 600 and 700 is 650.

Question 15. 6000 7000 Answer: 6000  6500 7000

Explanation: given The starting number 6000 The ending number 7000 The half way point of 6000 and 7000 is 6500.

Question 16. 300 400 Answer: 300    350   400

Explanation: given The starting number 300 The ending number 400 The half way point of 300 and 400 is 350.

Question 17. 400 500 Answer: 400  450   500

Question 18. 800 900 Answer: 800  850  900

Explanation: given The starting number 800 The ending number 900 The half way point of 800 and 900 is 850.

Question 19. 5800 5900 Answer: 5800  5850 5900

Explanation: given The starting number 5800 The ending number 5900 The half way point of 5800 and 5900 is 5850 .

Question 20. 80 90 Answer: 80  85  90

Question 21. 680 690 Answer: 680  685 690

Explanation: given The starting number 680 The ending number 690 The half way point of 680 and 690 is 685 .

Question 22. 6800 6900 Answer: 6800  6850 6900

Explanation: given The starting number 6800 The ending number 6900 The half way point of 6800 and 6900 is 6850.

Question 23. 7000 8000 Answer: 7000  7500  8000

Explanation: given The starting number 7000 The ending number 8000 The half way point of 7000 and 8000 is 7500 .

Question 24. 700 800 Answer: 700  750  800

Explanation: given The starting number 700 The ending number 800 The half way point of 700 and 800 is 750.

Question 25. 70 80 Answer: 70  75  80

Explanation: given The starting number 70 The ending number 80 The half way point of 70 and 80 is 75..

Question 26. 270 280 Answer: 270  275  280

Explanation: given The starting number 270 The ending number 280 The half way point of 270 and 280 is 275.

Question 27. 9270 9280 Answer: 9270  9275  9280

Explanation: given The starting number 9270 The ending number 9280 The half way point of 9270 and 9280 is 9275.

Question 28. 80 90 Answer: 80  85  90

Explanation: given The starting number 80 The ending number 90 The half way point of 80 and 90 is 85 .

Question 29. 90 100 Answer: 90  95  100

Question 30. 990 1000 Answer: 990  995  1000

Explanation: given The starting number 990 The ending number 1000 The half way point of 990 and 1000 is 995 .

Question 31. 9990 10,000 Answer: 9990  9995  10,000

Explanation: given The starting number 9990 The ending number 10,000 The half way point of 9990  and 10,000 is 9995 .

Question 32. 450 460 Answer: 450  455  460

Explanation: given The starting number 450 The ending number 460 The half way point of 450 and 460 is 455 .

Question 33. 8400 8500 Answer: 8400  8 450  8500

Explanation: given The starting number 8400 The ending number 8500 The half way point of 8400 and 8500 is 8 450 .

Question 34. 580 590 Answer: 580  585  590

Explanation: given The starting number 580 The ending number 590 The half way point of 580 and 590 is 585 .

Question 35. 9500 9600 Answer: 9500  9550  9600

Explanation: given The starting number 9500 The ending number 9600 The half way point of 9500 and 9600 is 9550 .

Question 36. 2900 3000 Answer: 2900  2950  3000

Explanation: given The starting number 2900 The ending number 3000 The half way point of 2900 and 3000 is 2950 .

Question 37. 3450 3460 Answer: 3450  3455  3460

Explanation: given The starting number 3450 The ending number 3460 The half way point of 3450 and 3460 is 3455 .

Question 38. 6080 6090 Answer: 6080  6085  6090

Explanation: given The starting number 6080 The ending number 6090 The half way point of 6080 and 6090 is 6085 .

Question 39. 4200 4210 Answer: 4200  4205  4210

Explanation: given The starting number 4200 The ending number 4210 The half way point of 4200  and 4210 is 4205 .

Question 40. 7630 7640 Answer: 7630  7635  7640

Explanation: given The starting number 7630 The ending number 7640 The half way point of 7630 and 7640 is 7635 .

Question 41. 7190 7200 Answer: 7190  7195  7200

Explanation: given The starting number 7190 The ending number 7200 The half way point of 7190 and 7200 is 75.

Question 42. 3510 3520 Answer: 3510  3515  3520

Explanation: given The starting number 3510 The ending number 3520 The half way point of 3510 and 3520 is 3515 .

Question 43. 5890 5900 Answer: 5890  5895  5900

Explanation: given The starting number 5890 The ending number 5900 The half way point of 5890 and 5900 is 5895 .

Question 44. 7770 7780 Answer: 7770     7775    7780 Explanation: given The starting number 7770 The ending number 7780 The half way point of 7770 and 7780 is 7775.

Eureka Math Grade 4 Module 1 Lesson 8 Problem Set Answer Key

Complete each statement by rounding the number to the given place value. Use the number line to show your work.

Eureka Math Grade 4 Module 1 Lesson 8 Exit Ticket Answer Key

Eureka Math Grade 4 Module 1 Lesson 8 Homework Answer Key

Eureka Math Grade 4 Module 1 Answer Key

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