{"id":13090,"date":"2023-12-26T16:10:18","date_gmt":"2023-12-26T10:40:18","guid":{"rendered":"https:\/\/envisionmathanswerkey.com\/?p=13090"},"modified":"2023-12-27T12:23:38","modified_gmt":"2023-12-27T06:53:38","slug":"envision-math-common-core-grade-2-answer-key-topic-6","status":"publish","type":"post","link":"https:\/\/envisionmathanswerkey.com\/envision-math-common-core-grade-2-answer-key-topic-6\/","title":{"rendered":"enVision Math Common Core Grade 2 Answer Key Topic 6 Fluently Subtract Within 100"},"content":{"rendered":"

Go through the\u00a0enVision Math Common Core Grade 2 Answer Key<\/a>\u00a0Topic 6 Fluently Subtract Within 100<\/strong>\u00a0regularly and improve your accuracy in solving questions.<\/p>\n

enVision Math Common Core 2nd Grade Answers Key Topic 6 Fluently Subtract Within 100<\/h2>\n

Essential Question:<\/strong>
\nWhat are strategies for subtracting numbers to 100?
\n\"Envision<\/p>\n

enVision STEM Project: Finding Water and Finding Differences<\/strong>
\nFind Out Use globes, maps, books, and other sources to find out where water, snow, and ice can be found on Earth. Make a list of different names of bodies of water and names of bodies of snow and ice.
\nJournal: Make a Book Show what you learn in a book. In your book, also:<\/p>\n

    \n
  • Tell about how globes are models that show where water is found on Earth.<\/li>\n
  • Tell about how to use a subtraction model to find differences.<\/li>\n<\/ul>\n

    \"Math<\/p>\n

    Review What You Know<\/strong><\/p>\n

    Vocabulary<\/strong><\/p>\n

    Question 1.
    \nBreak apart 56 into tens 1 and ones. Draw place value blocks to show the parts.
    \n56 = _______ + ________
    \nAnswer:
    \n50 tens and 6 ones
    \n\"\"
    \nExplanation:
    \n56. 5 is in tens place = 5 x 10 =\u00a050<\/b>.
    \nwe should multiply the number with its place values.
    \n5 is in tens place so multiply 5 with 10.<\/p>\n

    Question 2.
    \nComplete the drawing to show how to regroup 1 ten as ones.
    \n\"Envision
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nRegrouped ten to ones<\/p>\n

    Question 3.
    \nComplete the bar diagram to model 64 \u2013 31 = ?
    \n\"Envision
    \nAnswer: 33
    \n\"\"
    \nExplanation:
    \nThe difference of\u00a0 64 – 31 = 33<\/p>\n

    Open Number Lines<\/strong>
    \nQuestion 4.
    \nFind 40 \u2013 25 by counting back on an open number line. Show your work.
    \n\"Envision
    \n40 \u2013 25 = _______
    \nAnswer:
    \n\"\"
    \nExplanation:
    \n40 – 25 is done on a number line
    \n40 – 25 = 15<\/p>\n

    Question 5.
    \nFind 45 \u2013 22 by adding up on an open number line. Show your work.
    \n\"Envision
    \n45 – 22 = _________
    \nAnswer:
    \n\"\"
    \nExplanation:
    \n45 – 22 = 23
    \nIs plotted on a number line for better understanding<\/p>\n

    Math Story<\/strong>
    \nQuestion 6.
    \nLea has 30 cookies. She gives 17 cookies to her friends. How many cookies does Lea have now?
    \n_________ cookies
    \nAnswer:\u00a0 13
    \nExplanation:
    \nLea have 13 cookies now
    \n30 – 17 = 13<\/p>\n

    Pick a Project<\/strong><\/p>\n

    PROJECT 6A
    \nDo snakes lay eggs?
    \nProject: Make a Model of a Snake and Its Nest
    \n\"Envision<\/p>\n

    PROJECT 6B
    \nHow are schools different around the world?
    \nProject: Compare and Contrast Classroom Sizes
    \n\"Envision<\/p>\n

    PROJECT 6C
    \nHow long does it take to drive from a large city to nearby places?
    \nProject: Draw a Map of Some State Places
    \n\"Envision<\/p>\n

    PROJECT 6D
    \nWhat stories are in the night sky?
    \nProject: Perform a Skit About Constellations
    \n\"Envision<\/p>\n

    Lesson 6.1 Subtract 1-Digit Numbers Using Models<\/h3>\n

    Solve & Share<\/strong>
    \nHow can you use tens and ones to find 23 \u2013 6? Use place-value blocks to help you. Show your work.
    \nI can … use place value and models to subtract I-digit numbers.
    \n\"Envision<\/p>\n

    Visual Learning Bridge
    \n\"Envision<\/p>\n

    Convince Me! In the first example above, why were 4 ones taken away first?<\/p>\n

    Guided Practice<\/strong><\/p>\n

    Subtract. Use place-value blocks. Draw blocks to show your work.
    \nQuestion 1.
    \n63 \u2013 2 = ___
    \n\"Envision
    \nAnswer: 61
    \nExplanation:
    \n\"\"
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    \"Math<\/p>\n

    Question 2.
    \n44 – 9 = _______
    \n\"Envision
    \nAnswer: 35
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 3.
    \n32 – 8 = _______
    \n\"Envision
    \nAnswer: 24
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Independent Practice<\/strong><\/p>\n

    Subtract. Use place-value blocks. Draw blocks to show your work.
    \nQuestion 4.
    \n29 \u2013 1 = _______
    \n\"Envision
    \nAnswer: 28
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 5.
    \n50 – 7 = _______
    \n\"Envision
    \nAnswer: 43
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 6.
    \n61 \u2013 4 = _______
    \n\"Envision
    \nAnswer: 57
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 7.
    \n43 – 5 = _______
    \n\"Envision
    \nAnswer: 38
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 8.
    \n86 – 9 = _______
    \n\"Envision
    \nAnswer: 77
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 9.
    \n39 \u2013 3 = _______
    \n\"Envision
    \nAnswer: 36
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 10.
    \n56 – 8 = _______
    \n\"Envision
    \nAnswer:\u00a0 48
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 11.
    \n21 \u2013 6 = _______
    \n\"Envision
    \nAnswer: 15
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 12.
    \nHigher Order Thinking<\/strong> Which one-digit numbers can you subtract from 74 without first regrouping? Explain how you know.
    \n\"Envision
    \nAnswer: 74 – 4 = 70
    \nExplanation:
    \nwith out regrouping the tens place<\/p>\n

    \"Math<\/p>\n

    Problem Solving<\/strong><\/p>\n

    Solve each problem below.
    \nQuestion 13.
    \nHow can place-value blocks help you find 66 \u2013 8? Explain.
    \nAnswer: 58
    \nExplanation:
    \nwith the help of place value blocks
    \n\"\"<\/p>\n

    Question 14.
    \nMake Sense Kate has 45 marbles. She gives 3 marbles to her brother. How many marbles does Kate have now?
    \n_______ marbles
    \nAnswer: 42
    \nExplanation:
    \nKate have 42 marbles now.<\/p>\n

    Question 15.
    \nHigher Order Thinking<\/strong> Sammie has 9 fewer rings than Emilio. Sammie has 7 more rings than Sara. Emilio has 34 rings. Complete the sentences below. Draw a picture to explain your work.
    \nSammie has _______ rings.
    \nSara has ________ rings.
    \nAnswer:
    \nSammie has 25 rings.
    \nSara has 18 rings.
    \nExplanation:
    \nEmilio has 34
    \nSammie has 9 fewer rings than Emilio.
    \n34 – 9\u00a0 = 25
    \nSammie has 7 more rings than Sara.
    \n25 – 7 = 18
    \n\"\"<\/p>\n

    Question 16.
    \nAssessment Practice<\/strong> Draw place value blocks to find 34 \u2013 8. Which is the difference?
    \n\"Envision
    \nA. 22
    \nB. 26
    \nC. 28
    \nD. 46
    \nAnswer: B
    \n\"\"
    \nExplanation:
    \nThe difference of 34 – 8 = 26<\/p>\n

    Lesson 6.2 Subtract 2-Digit Numbers Using Models<\/h3>\n

    Solve & Share<\/strong>
    \nYou have 42 pipe cleaners. You use 19 of the pipe cleaners. How many pipe cleaners do you have now?
    \nUse place-value blocks to help you solve. Draw place-value blocks to show your work.
    \nI can … use place value and models to subtract 2-digit numbers.<\/p>\n

    _________ pipe cleaners<\/p>\n

    Visual Learning Bridge
    \n\"Envision<\/p>\n

    Convince Me! How are the two ways shown above alike? How are they different?<\/p>\n

    Guided Practice<\/strong><\/p>\n

    Subtract. Use place-value blocks. Draw blocks to show your work.
    \nQuestion 1.
    \n52 – 13 = _________
    \n\"Envision
    \nAnswer: 39
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 2.
    \n46 – 25 = ________
    \n\"Envision
    \nAnswer: 21
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    \"Math<\/p>\n

    Question 3.
    \n65 \u2013 37 = _______
    \n\"Envision
    \nAnswer: 28
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Independent Practice<\/strong><\/p>\n

    Subtract. Use place-value blocks. Draw blocks to show your work.
    \nQuestion 4.
    \n56 – 31 = _______
    \n\"Envision
    \nAnswer: 25
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 5.
    \n63 \u2013 24 = _______
    \n\"Envision
    \nAnswer: 39
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 6.
    \n72 \u2013 46 = _______
    \n\"Envision
    \nAnswer: 26
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 7.
    \n57 \u2013 15 = _______
    \n\"Envision
    \nAnswer: 42
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 8.
    \n25 \u2013 19 = _______
    \n\"Envision
    \nAnswer: 6
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 9.
    \n84 – 27 = _______
    \n\"Envision
    \nAnswer: 57
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    \"Math<\/p>\n

    Question 10.
    \n41 – 13 = _______
    \n\"Envision
    \nAnswer: 28
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 11.
    \n90 – 38 = _______
    \n\"Envision
    \nAnswer: 52
    \n\"\"
    \nExplanation:
    \nWith help of place value blocks
    \ndone the subtraction<\/p>\n

    Question 12.
    \nAlgebra Write numbers to complete the equations. Draw pictures to help if needed.
    \n\"Envision
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nThe equations are completed.<\/p>\n

    Question 13.
    \nNumber Sense<\/strong> Do these models show the same value? Explain.
    \n\"Envision
    \nAnswer: yes
    \nExplanation:
    \nLine represent 10 and dots represent 1
    \n32 = 32<\/p>\n

    Problem Solving<\/strong><\/p>\n

    Solve each problem.
    \nQuestion 14.
    \nModel Anita has $63. She spends $24 and saves the rest. How much does Anita save?
    \n\"Envision
    \n$ ________
    \nAnswer: 63 – 24 = 39
    \n\"\"
    \nExplanation:
    \nAnita saves 39<\/p>\n

    Question 15.
    \nHigher Order Thinking<\/strong> Write a subtraction story about 36 \u2013 17. Explain how to solve the problem.
    \nAnswer: Sam has 36 candy’s out of it she shared with her friend 17. how many did Sam left
    \nExplanation:
    \n36 – 17 = 19<\/p>\n

    Question 16.
    \nAssessment Practice<\/strong> Draw place-value blocks to find 70 \u2013 11. Which is the difference?
    \n\"Envision
    \nA. 59
    \nB. 49
    \nC. 47
    \nD. 11
    \nAnswer: A
    \nExplanation:
    \n70 -11 = 59
    \n\"\"<\/p>\n

    Lesson 6.3 Subtract Using Partial Differences<\/h3>\n

    Solve & Share<\/strong>
    \nAri has 72 stickers. He puts 25 of his stickers in a scrapbook. How many stickers are left? Draw place-value blocks to help you solve the problem.
    \nI can … subtract using place value and partial differences.
    \n\"Envision<\/p>\n

    Visual Learning Bridge
    \n\"Envision<\/p>\n

    Convince Me! The example above shows one way to find 64 – 36 using partial differences. Could you begin by subtracting the ones instead of the tens? Explain.<\/p>\n

    Guided Practice<\/strong><\/p>\n

    Subtract. Use place-value blocks to find partial differences. Record your work.
    \nQuestion 1.
    \n34 – 15 = _______
    \n\"Envision
    \nAnswer: 19
    \n\"\"
    \nExplanation:
    \nUsed place-value blocks to find partial differences.<\/p>\n

    Question 2.
    \n63 \u2013 48 = _______
    \n\"Envision
    \nAnswer: 15
    \n\"\"
    \nExplanation:
    \nUsed place-value blocks to find partial differences.<\/p>\n

    Independent Practice<\/strong><\/p>\n

    Subtract. Use place-value blocks to find partial differences. Record your work.
    \nQuestion 3.
    \n52 \u2013 36 = _______
    \nAnswer: 16
    \n\"\"
    \nExplanation:
    \nUsed place-value blocks to find partial differences.<\/p>\n

    Question 4.
    \n94 \u2013 54 = _______
    \nAnswer: 40
    \n\"\"
    \nExplanation:
    \nUsed place-value blocks to find partial differences.<\/p>\n

    Question 5.
    \n41 \u2013 25 = _______
    \nAnswer: 16
    \n\"\"
    \nExplanation:
    \nUsed place-value blocks to find partial differences.<\/p>\n

    Question 6.
    \n33 \u2013 28 = _______
    \nAnswer: 5
    \n\"\"
    \nExplanation:
    \nUsed place-value blocks to find partial differences.<\/p>\n

    Question 7.
    \n65 – 42 = _______
    \nAnswer: 23
    \n\"\"
    \nExplanation:
    \nUsed place-value blocks to find partial differences.<\/p>\n

    Question 8.
    \n70 \u2013 48 = _______
    \nAnswer: 22
    \n\"\"
    \nExplanation:
    \nUsed place-value blocks to find partial differences.<\/p>\n

    Question 9.
    \n96 – 37 = _______
    \nAnswer: 59
    \n\"\"
    \nExplanation:
    \nUsed place-value blocks to find partial differences.<\/p>\n

    Question 10.
    \n87 \u2013 45 = _______
    \nAnswer: 42
    \n\"\"
    \nExplanation:
    \nUsed place-value blocks to find partial differences.<\/p>\n

    Solve. Draw a model to help.
    \nQuestion 11.
    \nHigher Order Thinking<\/strong> Tia’s basketball team scored 61 points. They won by 23 points. How many points did the other team score?
    \n_______ points
    \nAnswer:\u00a0 38
    \nExplanation:
    \n38 points
    \n\"\"<\/p>\n

    Problem Solving<\/strong><\/p>\n

    Solve each problem.
    \nQuestion 12.
    \nModel Don has 72 marbles. Josie has 56 marbles. How many more marbles does Don have than Josie?
    \nCan you use drawings of place-value blocks to show partial differences?
    \n__________ more marbles
    \nAnswer:
    \n72 – 56 = 16
    \n\"\"
    \nExplanation:
    \nused drawings of place-value blocks to show partial differences<\/p>\n

    Question 13.
    \nHigher Order Thinking<\/strong> Write a subtraction story using two 2-digit numbers. Then solve the problem in your story.
    \nAnswer: Rosy had 12 rockets and in the tournament she has to use 10 out of it. how many does rosy had.
    \n12 – 10 = 2
    \nExplanation:
    \n2 rockets does rosy had.<\/p>\n

    Question 14.
    \nAssessment Practice<\/strong> Which numbers will complete this partial differences problem for 44 \u2013 17?
    \nChoose all that apply.
    \n\"Envision
    \nAnswer:
    \n\"\"
    \nExplanation:
    \n34 and 30 numbers will complete this partial differences problem<\/p>\n

    Lesson 6.4 Continue to Subtract Using Partial Differences<\/h3>\n

    Solve & Share<\/strong>
    \nShow two different ways to find 53 \u2013 28.
    \n\"Envision<\/p>\n

    Visual Learning Bridge
    \n\"Envision<\/p>\n

    Convince Me! Find 73 \u2013 45. Andy says he can subtract 3. then 2, and then 40 to find the difference. Do you agree? Explain.<\/p>\n

    Guided Practice<\/strong><\/p>\n

    Subtract. Use partial differences. Break apart the number you are subtracting. Show your work.
    \nQuestion 1.
    \n\"Envision
    \nAnswer: 28
    \n\"\"
    \nExplanation:
    \nThe number which we are subtracting is separated
    \nAnd found the value<\/p>\n

    Question 2.
    \n\"Envision
    \nAnswer: 15
    \n\"\"
    \nExplanation:
    \nThe number which we are subtracting is separated
    \nAnd found the value<\/p>\n

    Independent Practice<\/strong><\/p>\n

    Subtract. Use partial differences. Break apart the number you are subtracting. Show your work.
    \nQuestion 3.
    \n_______ = 32 \u2013 13
    \nAnswer: 19
    \n\"\"
    \nExplanation:
    \nThe number which we are subtracting is separated
    \nAnd found the value<\/p>\n

    Question 4.
    \n74 \u2013 28 = _______
    \nAnswer:\u00a0 46
    \n\"\"
    \nExplanation:
    \nThe number which we are subtracting is separated
    \nAnd found the value<\/p>\n

    Question 5.
    \n_______ = 61 \u2013 47
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nThe number which we are subtracting is separated
    \nAnd found the value<\/p>\n

    Question 6.
    \n84 \u2013 46 = _______
    \nAnswer: 38
    \n\"\"
    \nExplanation:
    \nThe number which we are subtracting is separated
    \nAnd found the value<\/p>\n

    Question 7.
    \n59 \u2013 17 = _______
    \nAnswer: 42
    \n\"\"
    \nExplanation:
    \nThe number which we are subtracting is separated
    \nAnd found the value<\/p>\n

    Question 8.
    \n_______ = 95 \u2013 38
    \nAnswer: 57
    \n\"\"
    \nExplanation:
    \nThe number which we are subtracting is separated
    \nAnd found the value<\/p>\n

    Question 9.
    \nHigher Order Thinking<\/strong> Tina found 53 \u2013 27 by breaking apart 27 into 23 and 4. Does Tina’s way work?
    \nShow another way you could break apart 27 to find 53 \u2013 27. Then find the difference.
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nTina found 53 \u2013 27 by breaking apart 27 into 23 and 4. Yes, Tina’s way work<\/p>\n

    Problem Solving<\/strong><\/p>\n

    Solve each problem. Show your work.
    \nQuestion 10.
    \nen Vision\u00ae STEM Kate had 32 ice cubes. She put 14 of them in the sun and they melted. How many ice cubes does Kate have now?
    \n________ ice cubes
    \nAnswer:\u00a0 18\u00a0ice cubes
    \nExplanation:
    \nen Vision\u00ae STEM Kate had 32 ice cubes. She put 14 of them in the sun and they melted. So 18 ice cubes Kate have now. Since 32 -14 =18<\/p>\n

    Question 11.
    \nMake Sense Mark has 27 stamps. Sam has 82 stamps. Lena has 42 stamps. How many more stamps does Sam have than Mark?
    \n\"Envision
    \n________ more stamps
    \nAnswer: 55 more stamps
    \nExplanation:
    \nMark has 27 stamps. Sam has 82 stamps. So 55 more stamps does Sam have than Mark. Since 82 – 27 = 55<\/p>\n

    Question 12.
    \nHigher Order Thinking<\/strong> Allison found 51 – 34 using partial differences. She broke apart 34 into 31 + 3.
    \nWrite equations to show how Allison could have found the difference.
    \nAnswer: 51 – 34, 51 -31 = 20, 20-3 =17
    \nExplanation: solved the difference using partial differences<\/p>\n

    Question 13.
    \nAssessment Practice<\/strong> Can you use the equations to find 63 \u2013 45? Choose Yes or No.
    \n\"Envision
    \nAnswer:
    \n\"\"<\/p>\n

    Lesson 6.5 Practice Subtracting<\/h3>\n

    Solve & Share<\/strong>
    \nFind 82 \u2013 56. Use any strategy you have learned or your own strategy. Show your work. Explain why your strategy works.
    \nI can … subtract 2-digit numbers using any strategy I’ve learned and explain why the strategy works.
    \n\"Envision<\/p>\n

    Visual Learning Bridge
    \n\"Envision<\/p>\n

    Convince Me! Could you solve 72 \u2013 24 using a different strategy? Explain.<\/p>\n

    Guided Practice<\/strong><\/p>\n

    Use any strategy to subtract. Show your work. Draw blocks if needed. Explain why the strategy works.
    \nQuestion 1.
    \n67 – 39 = ________
    \n\"Envision<\/p>\n

    Question 2.
    \n78 \u2013 42 = ________
    \nAnswer:<\/p>\n

    Independent Practice<\/strong><\/p>\n

    Use any strategy to subtract. Show your work. Be ready to explain why your strategy works.
    \nQuestion 3.
    \n73 \u2013 4 = ________
    \nAnswer: 69
    \nExplanation:
    \nCompensation Works. It is easy to subtract 3 from 73. but I have to subtract 1 more from the deference.
    \n73-3=70
    \n70-1=69<\/p>\n

    Question 4.
    \n78 \u2013 25 = ________
    \nAnswer:\u00a0 53
    \nExplanation:
    \nCompensation Works. It is easy to subtract 28\u00a0 from 78.
    \nbut I have to add 3 to the deference.
    \n78-28=50
    \n50+ 3=53<\/p>\n

    Question 5.
    \n83 \u2013 46 = ________
    \nAnswer:\u00a0 37
    \nExplanation:
    \nCompensation Works. It is easy to subtract 43 from 83.
    \nbut I have to subtract 3 more from the deference.
    \n83-43=40
    \n40-3=43<\/p>\n

    Question 6.
    \n36 \u2013 27 = ________
    \nAnswer:9
    \nExplanation:
    \nCompensation Works. It is easy to subtract 26 from 36.
    \nbut I have to subtract 1 more from the deference.
    \n36-26=10
    \n10-1=9<\/p>\n

    Question 7.
    \n98 \u2013 51 = _______
    \nAnswer: 47
    \nExplanation:
    \nCompensation Works. It is easy to subtract 50 from 98.
    \nbut I have to subtract 1 more from the deference.
    \n98 – 50 = 48
    \n48 – 1 = 47<\/p>\n

    Question 8.
    \n65 \u2013 7 = ________
    \nAnswer: 58
    \nExplanation:
    \nCompensation Works. It is easy to subtract 5 from 65.
    \nbut I have to subtract 2 more from the deference.
    \n65 – 5 = 60
    \n60 – 2 = 58<\/p>\n

    Question 9.
    \n86 \u2013 19 = ________
    \nAnswer: 67
    \nExplanation:
    \nCompensation Works. It is easy to subtract 20 from 86.
    \nbut I have to add 1to the deference.
    \n86 – 20 = 66
    \n66 + 1 = 67<\/p>\n

    Question 10.
    \n7 – 8 = ________
    \nAnswer: it is not possible
    \nExplanation:
    \n8 is greater than 7<\/p>\n

    Question 11.
    \n85 \u2013 23 = ________
    \nAnswer: 62
    \nExplanation:
    \nCompensation Works. It is easy to subtract 25 from 85.
    \nbut I have to add 2 to the deference.<\/p>\n

    Algebra Find the missing number.
    \n\"Envision
    \nQuestion 12.
    \n34 \u2013 8 = 35 \u2013 ______
    \nAnswer: 9
    \nExplanation:
    \n34 \u2013 8 = 35 \u2013 9
    \n26 = 26<\/p>\n

    Question 13.
    \n27 \u2013 9 = 28 – ________
    \nAnswer: 10
    \nExplanation:
    \n27 \u2013 9 = 28 – 10
    \n18 = 18<\/p>\n

    Problem Solving<\/strong><\/p>\n

    Make Sense Make a plan. Solve each problem. Show your work.
    \nQuestion 14.
    \nA hardware store has 32 hammers in stock. The store sells 16 hammers on Saturday. How many hammers are left?
    \n________ hammers
    \nAnswer: 16 hammers
    \nExplanation:
    \n16 hammers are left.
    \n32 – 16 = 16.<\/p>\n

    Question 15.
    \nA barber does 15 haircuts on Monday. He does 28 haircuts on Friday. How many more haircuts does he do on Friday than on Monday?
    \n________ more haircuts
    \nAnswer: 13
    \nExplanation:
    \n13 more haircuts does he do on Friday than on Monday.<\/p>\n

    Question 16.
    \nVocabulary Complete each sentence. Use two of the words below.
    \naddend
    \nequation
    \ndifference
    \nsum
    \n93 \u2013 53 = 40 is an ________
    \n40 is called the ________ of 93 and 53.
    \nAnswer:
    \n93 \u2013 53 = 40 is an equation
    \n40 is called the Difference of 93 and 53.
    \nExplanation:
    \nPreview words are used to complete the sentence.<\/p>\n

    Question 17.
    \nHigher Order Thinking<\/strong> Fill in the missing digits of this subtraction problem.
    \n\u2610 \u2610 – 23 = 29
    \nAnswer: 52
    \n52 – 23 = 29
    \nExplanation:
    \nThe missing digits of this subtraction problem is 52.<\/p>\n

    Question 18.
    \nAssessment Practice<\/strong> Circle the problem that you can use regrouping to solve. Then use a strategy to find both differences. Show your work.
    \n56 – 38 = ________
    \n74 \u2013 52 = ________
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nCompensation Works. It is easy to subtract 36 from 56.
    \nbut I have to subtract 2 more from the deference.
    \n56 – 36 = 20
    \n20 – 2 = 18<\/p>\n

    Lesson 6.6 Solve One-Step and Two-Step Problems<\/h3>\n

    Solve & Share<\/strong>
    \nTrevor made 20 apple muffins for the bake sale. Ryan made 15 banana muffins. They sold 23 muffins in all. How many muffins are left to sell? Solve any way you choose. Show your work.
    \nI can … use models and equations to solve word problems.
    \n\"Envision<\/p>\n

    Visual Learning Bridge
    \n\"Envision<\/p>\n

    Convince Me! Look at the example above. How does the bar diagram show that you can add to find the answer?
    \nExplanation:
    \nthe total distance shows to add.<\/p>\n

    Guided Practice<\/strong><\/p>\n

    Solve the problem. Show your work.
    \nQuestion 1.
    \nKyla’s goal is to walk her dog 50 blocks on Friday, Saturday, and Sunday. On Friday, she walked 16 blocks. On Saturday, she walked 18 blocks. How many blocks does she need to walk on Sunday to meet her goal?
    \n\"Envision
    \n________ blocks
    \nAnswer: 16 blocks
    \nExplanation:
    \n16 blocks she need to walk on Sunday to meet her goal<\/p>\n

    Independent Practice<\/strong><\/p>\n

    Use a bar diagram to solve each problem. Show your work.
    \nQuestion 2.
    \nSome balls are in the closet. Mr. Thomas takes out 15 balls for class. Now there are 56 balls in the closet. How many balls were in the closet in the beginning?
    \n\"Envision
    \n________ balls
    \nAnswer:
    \n\"\"
    \n71 balls
    \nExplanation:
    \n15 + 56 = 71<\/p>\n

    Question 3.
    \nCorey buys a box of 96 paper clips from the store. He uses 34 paper clips. How many paper clips does Corey have left?
    \n\"Envision
    \n_______ paper clips
    \nAnswer: 62 paper clips
    \n\"\"
    \n96 – 34 = 62
    \nCorey have left 62 paper clips.<\/p>\n

    Question 4.
    \nA.J. counts 44 acorns in his yard. He picks up 27 acorns. Then 16 more acorns fall from the tree. How many acorns are in the yard now? Show your work.
    \n\"Envision
    \n_______ acorns
    \nAnswer:
    \nStep 1:
    \n44 + 27 = 71
    \nStep 2:
    \n71 + 16 = 87
    \n87 acorns
    \nExplanation:
    \nA.J. counts 44 acorns in his yard.
    \nHe picks up 27 acorns.
    \n44 + 27 = 71
    \nThen 16 more acorns fall from the tree.
    \n71 + 16 = 87
    \n87 acorns are in the yard now.<\/p>\n

    Problem Solving<\/strong><\/p>\n

    Make Sense Make a plan. Solve each problem. Show your work. Then check your work.
    \nQuestion 5.
    \n27 people are at a picnic. 14 people eat hamburgers. The rest eat hot dogs. How many people eat hot dogs?
    \n\"Envision
    \n________ people eat hot dogs
    \nAnswer: 13 people eat hot dogs
    \n\"\"
    \nExplanation:
    \n27 people are at a picnic. 14 people eat hamburgers.
    \n27 – 14= 13
    \nThe rest eat hot dogs.
    \n13 people eat hot dogs<\/p>\n

    Question 6.
    \nSome pumpkins are in a patch. 41 pumpkins are picked. Now there are 33 pumpkins in the patch. How many pumpkins were in the patch at the start?
    \n\"Envision
    \n________ pumpkins
    \nAnswer: 74 pumpkins
    \n\"\"
    \nExplanation:
    \nSome pumpkins are in a patch.
    \n41 pumpkins are picked. Now there are 33 pumpkins in the patch.
    \n41 + 33 = 74
    \n74 pumpkins were in the patch at the start<\/p>\n

    Question 7.
    \nHigher Order Thinking Lauren has a stamp collection. She gives Kristen 12 stamps and Ethan 15 stamps. Lauren has 22 stamps left. How many stamps did she have at the start?
    \n\"Envision
    \n________ stamps
    \nAnswer:
    \n\"\"
    \n49 Stamps
    \nExplanation:
    \nLauren has a stamp collection.
    \nShe gives Kristen 12 stamps and Ethan 15 stamps.
    \n12 + 15 = 27
    \nLauren has 22 stamps left.
    \n27 + 22 = 49 stamps she had at start<\/p>\n

    Question 8.
    \nAssessment Practice Lance buys 48 eggs. He uses 24 of them for baking. Then he buys 12 more eggs. How many eggs does Lance have now? Which set of equations can you use to solve this problem?
    \nA. 48 + 24 = 72
    \n72 – 12 = 60<\/p>\n

    B. 48 – 24 = 24
    \n24 + 12 = 36<\/p>\n

    C. 48 + 24 = 72
    \n72 + 12 = 84<\/p>\n

    D. 48 \u2013 24 = 24
    \n24 \u2013 12 = 12
    \nAnswer: B
    \nExplanation:
    \nAssessment Practice Lance buys 48 eggs.
    \nHe uses 24 of them for baking.
    \n48 – 24 = 24
    \nThen he buys 12 more eggs.
    \n24 + 12 = 36<\/p>\n

    Lesson 6.7 Problem Solving<\/h3>\n

    Reasoning<\/strong>
    \nSolve & Share<\/strong>
    \nFarmer Davis has 52 chickens. Farmer Phil has 15 fewer chickens. How many chickens does Farmer Phil have? Do you add or subtract to solve this problem? Explain why. Solve. Show your work.
    \nI can … reason about word problems, and use bar diagrams and equations to solve them.
    \n\"Envision<\/p>\n

    Visual Learning Bridge
    \n\"Envision<\/p>\n

    Convince Me! Why can you subtract 45 \u2013 17 to solve 45 \u2013 ? = 17?<\/p>\n

    Guided Practice<\/strong><\/p>\n

    Reason about the numbers in each problem. Complete the bar diagram and write an equation to solve. Show your work.
    \nQuestion 1.
    \nWendy has 38 cents to spend on a snack. She buys an apple that costs 22 cents. How many cents does Wendy have left?
    \n\"Envision
    \nAnswer:
    \n\"\"
    \nExplanation:
    \nWendy have left 16 cents<\/p>\n

    Question 2.
    \nJoe has 46 crayons. Tamila has 18 more crayons than Joe. How many crayons does Tamila have?
    \n\"Envision
    \n________ \"Envision _______ \"Envision _________ crayons
    \nAnswer: 46 + 18 = 64 crayons
    \n\"\"
    \nExplanation:
    \nJoe has 46 crayons.
    \nTamila has 18 more crayons than Joe.
    \n46 + 18 = 64
    \nTamila has 64 crayons<\/p>\n

    Independent Practice<\/strong><\/p>\n

    Reason about how the numbers in each problem relate. Complete the bar diagram and write an equation to solve. Show your work.<\/p>\n

    Question 3.
    \nenVision\u00ae STEM Andy’s class wants to test samples of river water. They want to test 47 water samples. So far, they tested 34 samples. How many more samples do they need to test?
    \n\"Envision
    \n________ \"Envision _______ \"Envision _________ more samples
    \nAnswer: 47 – 34 = 13
    \n\"\"
    \nExplanation:
    \nAndy’s class wants to test samples of river water.
    \nThey want to test 47 water samples. So far, they tested 34 samples.
    \n47 – 34 = 13 more samples they need to test.<\/p>\n

    Question 4.
    \n93 dimes are in a box. Grant uses some to buy a game. Now, 66 dimes are in the box. How many dimes did Grant use to buy the game?
    \n\"Envision
    \n________ \"Envision _______ \"Envision _________ dimes
    \nAnswer: 93 – 66 = 27
    \n\"\"
    \nExplanation:
    \n93 dimes are in a box. Grant uses some to buy a game.
    \nNow, 66 dimes are in the box.
    \n93 – 66 = 27 Grant use to buy the game<\/p>\n

    Question 5.
    \nMaria paints 62 squares for a mural. Oscar paints 38 squares. How many more squares does Maria paint than Oscar?
    \n\"Envision
    \n________ \"Envision _______ \"Envision _________ more squares
    \nAnswer: 62 – 38 = 24
    \n\"\"
    \nExplanation:
    \nMaria paints 62 squares for a mural. Oscar paints 38 squares.
    \n24 more squares\u00a0 Maria paint than Oscar.<\/p>\n

    Problem Solving<\/strong><\/p>\n

    Performance Task<\/strong>
    \nPlanting Trees The second- and third-grade students planted these trees in Wing Park. The second-grade students planted 26 of the spruce trees. How many spruce trees did the third-grade students plant?
    \n\"Envision<\/p>\n

    Question 6.
    \nMake Sense What information can you get from the pictures?
    \nExplanation:
    \nplanting of trees by second- and third-grade students
    \n38 oak and 44 spruce<\/p>\n

    Question 7.
    \nModel Complete the bar diagram. Decide how the numbers in the problem relate. Then write an equation that shows how to solve the problem.
    \n\"Envision
    \nAnswer:
    \n\"\"
    \nExplanation:
    \n18 spruce trees had the third-grade students plant<\/p>\n

    Question 8.
    \nReasoning<\/strong> How many spruce trees did the third-grade students plant? Explain how you solved the problem.
    \n_________ spruce trees
    \nAnswer: 18
    \nExplanation:
    \n18 spruce trees had the third-grade students plant
    \n<\/p>\n

    Topic 7 Fluency Practice Activity<\/h3>\n

    Point & Tally<\/strong>
    \nI can … add within 100.
    \nFind a partner. Get paper and a pencil. Each partner chooses a different color: light blue or dark blue.
    \nPartner I and Partner 2 each point to a black number at the same time. Both partners add those numbers.
    \nIf the answer is on your color, you get a tally mark. Work until one partner gets seven tally marks.
    \n\"Envision
    \nExplanation:
    \npartner 1 choose the light blue and\u00a0 partner choose the dark blue
    \nThen the tally marks are noted by adding the black numbers<\/p>\n

    \"\"<\/p>\n

    Topic 7 Vocabulary Review<\/h3>\n

    Understand Vocabulary
    \nWord List<\/p>\n

      \n
    • bar diagram<\/li>\n
    • difference<\/li>\n
    • equation<\/li>\n
    • ones<\/li>\n
    • regroup<\/li>\n
    • tens<\/li>\n<\/ul>\n

      Write always, sometimes, or never.
      \nQuestion 1.
      \nA bar diagram shows subtraction. ________
      \nAnswer: Difference<\/p>\n

      Question 2.
      \nAn 8 in the ones place of a number equals 80. __________
      \nAnswer: Tens<\/p>\n

      Question 3.
      \nA 5 in the tens place of a number equals 50. _________
      \nAnswer: ones<\/p>\n

      Draw a line from each term to its example.
      \n\"Envision
      \nAnswer:
      \n\"\"
      \nExplanation:
      \n1)When a expression is shown with equal symbol then it is a equation
      \n2)75 – 23 = 52 the 52 is called the difference of the subtraction equation
      \n3)the lines are regrouped to dots.<\/p>\n

      Use Vocabulary in Writing<\/strong>
      \nQuestion 7.
      \nExplain how you can make a model to show and help you solve the problem. Use terms from the Word List.
      \nMolly has 64 marbles. Leslie has 29 marbles. How many fewer marbles does Leslie have?
      \nAnswer: Regrouping
      \nExplantion:
      \nRegrouping is word taken from the word list
      \n64 – 29 = 35
      \n35 fewer marbles does Leslie have<\/p>\n

      Topic 6 Reteaching<\/h3>\n

      Set A<\/strong><\/p>\n

      You can use place-value blocks to find 46 \u2013 8. You can regroup I ten as 10 ones and then take away 8 ones.
      \n\"Envision
      \nExplanation:
      \nyes , we need to regroup
      \nwe cannot take 8 from 6
      \nso we have to regroup
      \n1 line to 10 dots<\/p>\n

      Subtract. You can use place-value blocks to help. Draw blocks to show your work.
      \nQuestion 1.
      \n61 – 3 = _______
      \n\"Envision
      \nAnswer:
      \n\"\"
      \nExplanation:
      \nused place-value blocks to find the equation
      \ntens are converted to ones<\/p>\n

      Question 2.
      \n57 \u2013 5 = _______
      \n\"Envision
      \nAnswer: 52
      \n\"\"
      \nExplanation:
      \nused place-value blocks to find the equation
      \nno need of regrouping<\/p>\n

      Set B<\/strong><\/p>\n

      You can use place-value blocks to find 72 \u2013 26. First, take away the tens. Then regroup I ten as 10 ones and take away 6 ones.
      \n\"Envision
      \nQuestion 3.
      \n27 \u2013 11 = _______
      \n\"Envision
      \nAnswer:
      \n\"\"
      \nExplanation:
      \nused place-value blocks to find the equation
      \ntens are converted to ones
      \n27 – 11 = 16<\/p>\n

      Question 4.
      \n33 \u2013 24 = ________
      \n\"Envision
      \nAnswer:
      \n\"\"
      \nExplanation:
      \nused place-value blocks to find the equation
      \ntens are converted to ones
      \n37 – 24 = 9<\/p>\n

      Set C<\/strong><\/p>\n

      You can use place-value blocks and partial differences to find 53 – 37. First, subtract 3 tens from 5 tens. Then subtract 3 of the ones to make a 10. Then regroup I ten as a 10 ones and subtract the other 4 ones.
      \n\"Envision<\/p>\n

      Subtract. Use piace-value blocks to find partial differences. Record your work.
      \nQuestion 5.
      \n22 \u2013 14 = ________
      \nAnswer: 8
      \nExplanation:
      \nYou can use place-value blocks and partial differences to find 22 – 14.
      \nFirst, subtract 1 tens from 2 tens. Then subtract 2 of the ones to make a 10.
      \nThen regroup I ten as a 10 ones and subtract the other 2 ones.<\/p>\n

      Question 6.
      \n73 \u2013 38 = ________
      \nAnswer: 353
      \nExplanation:
      \nYou can use place-value blocks and partial differences to find 73 – 38.
      \nFirst, subtract 3 tens from 7 tens. Then subtract 3 of the ones to make a 10.
      \nThen regroup I ten as a 10 ones and subtract the other 5 ones.<\/p>\n

      Question 7.
      \n45 \u2013 25 = ________
      \nAnswer: 20
      \nExplanation:
      \nYou can use place-value blocks and partial differences to find 45 – 25
      \nFirst, subtract 2 tens from 4 tens. Then subtract 5 of the ones to make a 10.<\/p>\n

      Question 8.
      \n84 \u2013 46 = ________
      \nAnswer: 38
      \nExplanation:
      \nYou can use place-value blocks and partial differences to find 84 – 36.
      \nFirst, subtract 4 tens from 8 tens. Then subtract 4 of the ones to make a 10.
      \nThen regroup I ten as a 10 ones and subtract the other 2 ones.<\/p>\n

      Set D<\/strong><\/p>\n

      You can mentally break apart the number you are subtracting. Find 72 \u2013 47.
      \nSubtract 47 in parts. You can subtract the parts in any order and record partial differences.
      \n\"Envision<\/p>\n

      Subtract. Use partial differences. Break apart the number you are subtracting. Show your work.
      \nQuestion 9.
      \n47 – 29 = ________
      \nAnswer:\u00a0 18
      \n\"\"
      \nExplanation:
      \nThe difference of 47 – 29 = 18<\/p>\n

      Question 10.
      \n55 \u2013 36 = ________
      \nAnswer: 19
      \n\"\"
      \nExplanation:
      \nThe difference of 55 \u2013 36 = 19<\/p>\n

      Question 11.
      \n55 – 37 = ________
      \nAnswer: 18
      \n\"\"
      \nExplanation:
      \nThe difference of 55 – 37 = 18<\/p>\n

      Question 12.
      \n77 – 53 = ________
      \nAnswer: 25
      \nThere is no need of regrouping
      \nExplanation:
      \nThe difference of 77 – 53 =\u00a0 25<\/p>\n

      Set E<\/strong><\/p>\n

      You can draw blocks, regroup, and record partial differences. Find 52 \u2013 33. You can regroup 1 ten as 10 ones.
      \n\"Envision<\/p>\n

      Use any strategy to subtract. Show your work.
      \nQuestion 13.
      \n81 \u2013 66 = ________
      \nAnswer:\u00a0 15
      \nExplanation:
      \n81 \u2013 66 = 15
      \n\"\"<\/p>\n

      Question 14.
      \n96 \u2013 19 = ________
      \nAnswer: 77
      \n\"\"
      \nExplanation:
      \nThe difference of 96 and 19 is 77<\/p>\n

      Question 15.
      \n62 \u2013 17 = ________
      \nAnswer: 45
      \n\"\"
      \nExplanation:
      \nThe difference of 62 – 17 = 45<\/p>\n

      Question 16.
      \n57 \u2013 29 = ________
      \nAnswer: 28
      \n\"\"
      \nExplanation:
      \nThe difference of 57 – 29 = 28<\/p>\n

      Set F<\/strong><\/p>\n

      48 people are at the beach. 16 people are swimming. The rest are playing volleyball. How many people are playing volleyball?
      \nYou can use a bar diagram and partial differences to solve the problem.
      \n\"Envision<\/p>\n

      Solve the problem. Show your work.
      \nQuestion 17.
      \nMark has 33 stickers. 16 stickers are green. The rest are yellow. How many stickers are yellow?
      \n\"Envision
      \n_________ yellow stickers
      \nAnswer:
      \n33 – 16 = 17
      \n17 yellow stickers
      \n\"\"
      \nExplanation:
      \nMark has 33 stickers.
      \n16 stickers are green.
      \nThe rest are yellow.<\/p>\n

      Set G<\/strong><\/p>\n

      Thinking Habits<\/strong>
      \nReasoning
      \nWhat do the numbers and symbols in the problem mean?
      \nHow are the numbers in the problem related?
      \nHow can I show a word problem using pictures or numbers?
      \n\"Envision<\/p>\n

      Complete the bar diagram and write an equation to show the problem. Then solve. Show your work.
      \nQuestion 18.
      \n94 bricks are needed to build a wall. Lindy has 65 bricks. How many more bricks does she need?
      \n\"Envision
      \nAnswer:
      \n\"\"<\/p>\n

      Question 19.
      \nExplain why making a bar diagram can help you solve the problem above.
      \nAnswer:
      \nIt shows what is the\u00a0 distance covered and how much more we need to complete.<\/p>\n

      Topic 6 Asse ssment Practice<\/h3>\n

      Question 1.
      \nWhich is the difference of 55 \u2013 7? You may draw place-value blocks.
      \n\"Envision
      \nA. 45
      \nB. 46
      \nC. 47
      \nD. 48
      \nAnswer: D
      \n\"\"
      \nExplanation:
      \n55 –\u00a0 7 = 48
      \nDrawn place value blocks<\/p>\n

      Question 2.
      \nSam has 74 books. He puts 28 books on a shelf. How many books are NOT on the shelf? Show your work.
      \n________ books are NOT on the shelf.
      \nAnswer:
      \n74 – 28 = 46
      \nExplanation:
      \n46 books are NOT on the shelf.<\/p>\n

      Question 3.
      \nA ship has 68 round windows. The ship also has 16 square windows. 7 of the windows are broken. How many windows are NOT broken?
      \nA. 45
      \nB. 61
      \nC. 77
      \nD. 91
      \nAnswer: A
      \n68 + 16 = 52
      \n52 – 7 = 45
      \nExplanation:
      \n45 windows are NOT broken<\/p>\n

      Question 4.
      \nRyan has 46 marbles. John has 4 fewer marbles than Ryan. John gives 9 marbles to his friend.<\/p>\n

      A. Which pair of equations should be used to find how many marbles John has now?
      \nA. 46 \u2013 4 = 42
      \n42 – 9 = 33<\/p>\n

      B. 46 – 4 = 42
      \n42 + 9 = 51<\/p>\n

      C. 46 + 4 = 50
      \n50 \u2013 9 = 41<\/p>\n

      D. 46 + 4 = 50
      \n50 + 9 = 59
      \nAnswer: A
      \nExplanation:
      \n46 \u2013 4 = 42
      \n42 – 9 = 33
      \npair of equations is used to find how many marbles John has now<\/p>\n

      B. How many marbles does John have now?
      \nAnswer:
      \n33 John have now<\/p>\n

      Question 5.
      \nJason wants to find 86 \u2013 61 using place-value blocks.
      \nWill Jason need to regroup to find the difference? Which is correct?
      \nA. Yes; 86 should be regrouped as 8 tens and 16 ones.
      \nB. Yes; 61 should be regrouped as 5 tens and 11 ones.
      \nC. Yes; 86 should be regrouped as 7 tens and 16 ones.
      \nD. No; Regrouping is not needed.
      \nAnswer: D
      \nExplanation:
      \nwe can directly remove 1 ones from 6 ones
      \nno need of regrouping tens to ones<\/p>\n

      Question 6.
      \nA book has 72 pages. Dan reads 38 pages on Monday. He reads 26 pages on Tuesday. How many pages does Dan have left to read?
      \nA. Which pair of equations should be used to find how many pages Dan has left to read?
      \nA. 38 + 26 = 64
      \n72 – 64 = 8<\/p>\n

      B. 72 – 38 = 34
      \n34 + 26 = 60<\/p>\n

      C. 72 + 26 = 98
      \n98 – 38 = 60<\/p>\n

      D. 72 \u2013 26 = 46
      \n46 + 38 = 84
      \nAnswer: A
      \nExplanation:
      \n38 + 26 = 64
      \n72 – 64 = 8
      \npair of equations are used to find how many pages Dan has left to read<\/p>\n

      B. How many pages does Dan have left to read?
      \nAnswer: 8 pages, Dan have left to read<\/p>\n

      Question 7.
      \nCircle the problem that you will use regrouping of place-value blocks to solve. Then draw blocks to show how you know.
      \n54 \u2013 23
      \n82 \u2013 44
      \nAnswer:
      \n54 \u2013 23
      \n\"\"
      \nExplanation:
      \n4 ones cannot be removed from 2 ones so regrouping is done.
      \n\"\"<\/p>\n

      Question 8.
      \nClaire has 53 beads. Grace has 26 beads. Bella has 39 beads. How many fewer beads does Bella have than Claire?<\/p>\n

      Show how you can break apart a number and use partial differences to solve.
      \n________ fewer beads
      \nAnswer:
      \n53 – 39 = 14
      \nExplanation:
      \n14 fewer beads Bella have than Claire.<\/p>\n

      Question 9.
      \nWhich numbers will complete this partial differences problem for 54 \u2013 18? Choose all that apply.
      \n\"Envision
      \nAnswer:
      \n\"\"
      \nExplanation:
      \n44 – 4 = 40
      \n40 – 4 = 36
      \n44 , 36 are used in this equation.<\/p>\n

      Question 10.
      \nUse any strategy to find 24 \u2013 16. Show your work. Write the missing part in the bar diagram.
      \n\"Envision
      \n24 \u2013 16 = _______
      \nAnswer: 8
      \n\"\"
      \n24 \u2013 16 = 8
      \nExplanation:
      \n8 is the missing part in the bar diagram.<\/p>\n

      Question 11.
      \nPeter collects 54 stamps. He gives 29 stamps to Ruth. How many stamps does Peter have now? Show the problem in the bar diagram with a ? for the unknown number. Then write an equation to solve the problem.
      \n\"Envision
      \nAnswer:
      \n\"\"
      \nExplanation:
      \npeter have 25 stamps now.<\/p>\n

      Question 12.
      \nFind 53 \u2013 27. Use partial differences to solve. Show your work.
      \n53 – 27 = ________
      \nAnswer:
      \n\"\"
      \nExplanation:
      \n27 is partition to 20 and to 3 and again to 4<\/p>\n

      Question 13.
      \nChoose all of the problems that you will solve by regrouping if you subtract using place-value blocks. Draw blocks if needed.
      \n\u2610 45 \u2013 0 = ?
      \n\u2610 68 – 49 = ?
      \n\u2610 84 – 37 = ?
      \n\u2610 99 – 33 = ?
      \n\u2610 78 \u2013 18 = ?
      \nAnswer:
      \n\"\"
      \nExplanation:
      \n45 \u2013 0 = 45
      \n68 – 49 = 19
      \n84 – 37 = 47
      \n99 – 33 = 66
      \n78 \u2013 18 = 60<\/p>\n

      Question 14.
      \nFind 72 – 38. Use any strategy to solve. Then explain why your strategy works.
      \nAnswer:
      \n\"\"
      \nExplanation:
      \nYou can use place-value blocks and partial differences to find 72 – 38
      \nFirst, subtract 3 tens from 7 tens. Then subtract 2 of the ones to make a 10.
      \nThen regroup I ten as a 10 ones and subtract the other 2 ones.<\/p>\n

      Topic 6 Performance Task<\/h3>\n

      Stamp Collection Mary collects stamps. The table shows the number of different kinds of stamps that she has.
      \n\"Envision
      \nQuestion 1.
      \nHow many more stamps with butterflies does Mary have than stamps with flags? Choose a strategy to solve. Show your work.
      \n__________ more stamps with butterflies
      \nAnswer:
      \n34 – 8 = 26
      \n26 more stamps with butterflies<\/p>\n

      Question 2.
      \nHow many fewer stamps with birds does Mary have than stamps with flowers? Use a different strategy to solve. Show your work.
      \n________ fewer stamps with birds
      \nAnswer:
      \n61 – 27 = 34
      \nExplanation:
      \n34 fewer stamps with birds<\/p>\n

      Question 3.
      \nExplain why the strategy you chose in Item 2 works.
      \nAnswer:
      \nregrouping makes the subtracting easy<\/p>\n

      Question 4.
      \nLuke also collects stamps. He has 57 stamps. His friend gives him 25 more stamps. Then Luke gives away some stamps. Now Luke has 44 stamps. How many stamps did Luke give away?
      \nPart A
      \nHow many stamps does Luke have after his friend gives him more stamps?
      \n_______ \"Envision _______ = ________
      \n_______ stamps
      \nAnswer:
      \n57 + 25 = 82
      \n82 – 44 = 38
      \nExplanation:
      \n38 stamps
      \n38 many stamps Luke have after his friend gives him more stamps<\/p>\n

      Part B
      \nHow many stamps did Luke give away?
      \n_______ \"Envision _______ = ________
      \n_______ stamps
      \nAnswer:\u00a0 38 stamps
      \n82 – 44 = 38
      \nExplanation:
      \n38 Luke give away.<\/p>\n

      Question 5.
      \nMary puts 54 of her stamps in a book. The book holds 96 stamps. How many more stamps can Mary put in the book?
      \nPart A
      \nComplete the bar diagram to model the problem.
      \n\"Envision
      \nExplain how the bar diagram helps you understand the problem.
      \nAnswer:
      \n\"\"
      \nExplanation:
      \n42 more stamps can Mary put in the book<\/p>\n

      Part B
      \nWrite an equation to solve the problem.
      \n_______ \"Envision _______ = ________
      \n_______ more stamps
      \nAnswer:
      \n96 – 54 = 42
      \n42 more stamps
      \nExplanation:
      \nthe above equation helps to found the number of stamps that Mary can keep in the book<\/p>\n","protected":false},"excerpt":{"rendered":"

      Go through the\u00a0enVision Math Common Core Grade 2 Answer Key\u00a0Topic 6 Fluently Subtract Within 100\u00a0regularly and improve your accuracy in solving questions. enVision Math Common Core 2nd Grade Answers Key Topic 6 Fluently Subtract Within 100 Essential Question: What are strategies for subtracting numbers to 100? enVision STEM Project: Finding Water and Finding Differences Find …<\/p>\n","protected":false},"author":1,"featured_media":25626,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/enVision-Math-Common-Core-Grade-2-Answer-Key-Topic-6-Fluently-Subtract.-Within-100.png","_links":{"self":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/13090"}],"collection":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/comments?post=13090"}],"version-history":[{"count":17,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/13090\/revisions"}],"predecessor-version":[{"id":28081,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/posts\/13090\/revisions\/28081"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/media\/25626"}],"wp:attachment":[{"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/media?parent=13090"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/categories?post=13090"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/envisionmathanswerkey.com\/wp-json\/wp\/v2\/tags?post=13090"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}