About the MathProfessional Development

About the MathProfessional Development

Professional Development Videos

LESSON AT A GLANCE

Progressto Algebra

167A Chapter 3

Interactive Student Edition

Personal Math Trainer

Math on the Spot Video

iTools: Counters

HMH Mega Math

Teaching for Depth Our number system is based on the number 10, so 10 is an important number in mathematics. The ten frame introduced in this lesson helps children keep track when counting 10 or more objects and helps reinforce the idea of grouping 10 and extras, a key to understanding teen numbers. Working with the ten frame also readies children for the addition strategy make a ten taught in succeeding lessons.

The ten frame visually shows two rows of 5. As children place counters from left to right in each row, they are showing one-to-one correspondence. The ten frame shows one group of 10 and 10 single units in the same model.

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Hands On • Add 10 and More

LESSON 3.7

Learning ObjectiveUse a ten frame to add 10 and an addend less than 10.

Language ObjectiveChildren work in pairs to prepare written instructions on how to use a ten frame to add 10 and some more.

MaterialsMathBoard, Workmat 7 (ten frame), Workmat 8 (ten frames) (see eTeacher Resources), two-color counters, red and yellow crayons

F C R Focus:Common Core State Standards

1.OA.C.6 Add and subtract within 20, demonstrating fl uency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 1 6 5 8 1 2 1 4 5 10 1 4 5 14); decomposing a number leading to a ten (e.g., 13 2 4 5 13 2 3 2 1 5 10 2 1 5 9); using the relationship between addition and subtraction (e.g., knowing that 8 1 4 5 12, one knows 12 2 8 5 4); and creating equivalent but easier or known sums (e.g., adding 6 1 7 by creating the known equivalent 6 1 6 1 1 5 12 1 1 5 13).

MATHEMATICAL PRACTICES (See Mathematical Practices in GO Math! in the Planning Guide for full text.)MP2 Reason abstractly and quantitatively. MP5 Use appropriate tools strategically.

F C R Coherence:Standards Across the GradesBeforeK.OA.A.4

Grade 11.OA.C.6

After2.OA.A.1

F C R Rigor:Level 1: Understand Concepts....................Share and Show ( Checked Items)Level 2: Procedural Skills and Fluency.......On Your Own, Practice and HomeworkLevel 3: Applications..................................Think Smarter and Go Deeper

F C R For more about how GO Math! fosters Coherence within the Content Standards and Mathematical Progressions for this chapter, see page 127J.

FOCUS COHERENCE RIGOR

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ENGAGE1Daily Routines

Common Core

1 23 4 Pages 50–51 in Strategies and Practice for Skills and Facts Fluency provide additional fluency support for this lesson.

Lesson 3.7 167B

1 23 4 Fluency BuilderMaterials two-color counters, paper cup

Shake It Up! Have partners take turns putting up to 12 counters in a paper cup, shaking the cup, and gently spilling the counters on a desk.

Have children arrange the counters by color and say the two addition facts they show.

Funny Bunny Hats

Literature ConnectionFrom the Grab-and-Go™ Differentiated Centers Kit

Children read the book and add the number of hats made by Bunny.

Problem of the Day 3.7Calendar Math Look at the dates on the calendar. Name two numbers that have a sum of 10. Possible answers: 1 and 9, 2 and 8, 3 and 7, 4 and 6

Ask children to share their solutions with the class and explain how they know they are correct.

Vocabulary

with the Interactive Student Edition

Essential QuestionHow can you use a ten frame to add 10 and some more?

Making ConnectionsRemind children that they have learned to count on to solve addition problems.

What is the sum if you count on 2 from 10? 12

What is the sum if you count on 3 from 10? 13

Learning ActivityWhat is the problem children are trying to solve? Connect the story to the problem. Ask questions like the following.

How can you use a ten frame and counters to show the trash cans the people on the block put out? I can show 10 counters in the ten frame and 3 counters outside it.

How do you know how many counters there are in the ten frame? The ten frame is full, so there are ten counters in all.

What do the counters outside the ten frame show? They show how many more than ten there are.

Literacy and MathematicsChoose one or more of the following activities.

Have children write a word problem using the counters shown inside and outside the ten frame as the addends.

Have children retell the story in their own words.

How can you use a ten frame to add 10

and some more?

Common Core Fluency Standard 1.OA.C.6

Interactive Student EditionMultimedia Glossary e

EXPLORE2

Name

Find TenCircle ten in each picture. Use the picture to complete the addition sentence.

1.

10 + 4 = 14

2.

10 + 6 = 16

3.

10 + 1 = 11

4.

10 + 3 = 13

5.

10 + 7 = 17

Writing and Reasoning How did counting out 10 first help you find the sum in Exercise 5?

Possible answer: It was easier for me to see

10 and 7 more.

Lesson 3.7Enrich

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EnrichChapter Resources© Houghton Mifflin Harcourt Publishing Company

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Name 

Add 10 and MoreYou can use counters and a ten frame to add a number to 10.

Find 10 + 4.

Draw . Show the number that is added to 10. Write the sum.

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Lesson 3.7Reteach

Possible drawings are shown.

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ReteachChapter Resources© Houghton Mifflin Harcourt Publishing Company

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DifferentiatedInstruction1

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Progressto Algebra

Listen and DrawListen and Draw

MATHEMATICAL PRACTICES 2MathTalk

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Chapter 3 one hundred sixty-seven 167

What is 10 + 5? Use and the ten frame. Model and draw to solve.

Add 10 and MoreEssential Question How can you use a ten frame to add 10 and some more?

HandsOn

FOR THE TEACHER • Read the following problem. Ali has 10 red apples in a bag. She has 5 yellow apples next to the bag. How many apples does Ali have?

Reasoning Explain how your model shows 10 + 5.

Lesson 3.7HANDS ON

Operations and Algebraic Thinking—1.OA.C.6 Also 1.OA.D.8

MATHEMATICAL PRACTICESMP2, MP5

Math Talk: Possible answer: I put 10 red counters in the ten frame to show 10. Then I put 5 yellow counters under the ten frame to show 5. 10 + 5 = 15.

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1_MNLESE341845_C03L07.indd 167 3/5/14 6:44 PM

Problem Type: Put Together/Take Apart • Total Unknown

167 Chapter 3

LESSON 3.7

Enrich 3.7Reteach 3.7

Listen and DrawMaterials Workmat 7 (ten frame) or Workmat 8 (ten frames) (see eTeacher Resources), two-color counters, red and yellow crayons

Read the following problem aloud to the class. Ali has 10 red apples in a bag. She has 5 yellow apples next to the bag. How many apples does Ali have?

Have children build the problem 10 + 5 using two-color counters and the ten frame on the page. Children may prefer to use the ten frame(s) on Workmat 7 or Workmat 8.• What do you need to fi nd? how many apples

Ali has

• How can the ten frame help you? I can show 10 counters in the frame and 5 counters outside the frame.

• How can the colors of the counters help you? I can use a different color for each addend.

After children have modeled the problem with counters, have them draw and color the counters on the page. Encourage volunteers to show their models and explain their work.• How many apples does Ali have? 15 apples • How did using the ten frame and counters

help you fi nd the sum? Possible answers: It was easy to see the addends. I could add to 10.

MathTalk

MP2 Reason abstractly and quantitatively. Use Math Talk to focus on children’s understanding of how the ten frame shows adding on to 10.What parts of the number sentence does your model show? Possible answer: It shows the two addends, the 10 and the 5.

ELL Strategy: Model Language

Model language for adding 10 and an addend less than 10. Show the problem: 10 + 1 = _____. Demonstrate how to count on from 10 to fi nd the sum using the ten frame and two-color counters. Show children the following problems: 10 + 2 = _____ 10 + 3 = _____ 10 + 4 = _____ 10 + 5 = _____Guide children to solve the problems using the ten frame and two-color counters.

HandsOn

1.OA.C.6 Add and subtract within 20, demonstrating fl uency for addition and subtraction within 10. Use strategies such as counting on; making ten (e.g., 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14); decomposing a number leading to a ten (e.g., 13 − 4 = 13 − 3 − 1 = 10 − 1 = 9); using the relationship between addition and subtraction (e.g., knowing that 8 + 4 = 12, one knows 12 − 8 = 4); and creating equivalent but easier or known sums (e.g., adding 6 + 7 by creating the known equivalent 6 + 6 + 1 = 12 + 1 = 13).

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EXPLAIN3

COMMON ERRORS

Quick Check

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Model and DrawModel and Draw

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Draw to show 10. Draw to show the other addend. Write the sum.

You can use a ten frame to add 10 + 6.

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Color the counters to show 10 red. Color the

counters to show 6 yellow.

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Advanced Learners

MATHEMATICAL PRACTICES

Lesson 3.7 168

Error Children may count the full ten frame as 1 instead of 10.

Example For Exercise 1, children write 4 for the sum.Springboard to Learning Distribute 10 counters and a ten frame. Have children fill the ten frame and say 10. Continue giving children counters to count beyond 10. Then check the total by coaching them to count on from 10.

a child misses the checked exercises

Differentiate Instruction with • Reteach 3.7

• Personal Math Trainer 1.OA.C.6

• RtI Tier 1 Activity (online)

Model and DrawMP2 Reason abstractly and quantitatively. Work through the model with children as they color the counters and record the sum.

• How do red and yellow counters help you solve the problem? Possible answers: It is easier to see each addend. Red counters fill the ten frame. The yellow counters show the number added to 10.

• Why is it easier to add with a ten frame? Possible answer: The ten frame is full so I know that the sum is a teen number. I can start at 10 and count from there.

Share and Show MATHBOARDMATHBOARDMBMMMBBBMATHABOARDMMMAAATHATHTHHAAAAAAAAATTAAAABOARDBOARDBOARD

Have children complete Exercises 1–6.• How do you know your answer is correct?

Possible answer: I can start with 10 red circles and then count my yellow circles to show my answer is correct.

Use the checked exercises for Quick Check. Have children use the MathBoards to show their solutions.

• Give each pair of children paper for writing.

• Have each child write a list of “10 +” addition facts. Instead of writing the second addend, children should write a blank and the equal sign and sum.

• Partners exchange papers and challenge each other to find the missing addend.

10 + = 1210 + = 1510 + = 18

Logical / Mathematical Partners

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Chapter 3 • Lesson 7 one hundred sixty-nine 169

MATHEMATICALPRACTICE 2 Represent a Problem

Draw to show 10. Draw to show the other addend. Write the sum.

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On Your OwnOn Your Own

16. SMARTER Draw to show 10. Draw to show the missing addend. Write the missing addend.

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Math on the Spot videos are in the Interactive Student Edition and at www.thinkcentral.com.

169 Chapter 3

On Your OwnMP2 Reason abstractly and quantitatively. If children answered Exercises 5 and 6 correctly, assign Exercises 7–16.

SMARTER

MP5 Use appropriate tools strategically. Exercise 16 requires children to use higher order thinking skills. Suggest that children predict the missing addend and then solve the problem to check their prediction. If needed, allow children to use a ten frame (see eTeacher Resources) and two-color counters to solve the problem. Early finishers can create similar problems and exchange them with a partner to solve.

DEEPER

To extend their thinking, have children write and solve similar problems to Exercise 16. Have children first find the sum of 10 + 1 and continue for sums 12–19. MP2 Reason abstractly and quantitatively. • How did you solve Exercise 16? Possible answer:

I know there are 14 in all. I know one addend is 10. I drew yellow circles to show 14. I counted the yellow circles to find my second addend.

4 ELABORATE

Math on the Spot Video TutorUse this video to help children model and solve this type of Think Smarter problem.

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TAKE HOME ACTIVITY • Have your child choose a number between 1 and 10 and then find the sum of 10 and that number. Repeat using other numbers.

10 — + 7 — = 17 — crayons

10 + 4 = 14 10 + 2 = 12 10 + 5 = 15

•

••

• •

•

DEEPER Draw . Write the addition sentence. Explain your model.

17. Marina has 10 crayons. She gets 7 more crayons. How many crayons does she have now?

18. SMARTER Match the models to the number sentences.

Possible answer: I drew 10 red counters in the ten frame. I drew 7 yellow

Order of addends may vary.

counters outside the ten frame. Then I added.

EVALUATE5 Formative Assessment

MATHEMATICAL PRACTICES

Differentiated Centers Kit

DIFFERENTIATED INSTRUCTION INDEPENDENT ACTIVITIESD

Lesson 3.7 170

Children practice and review sums to 20.

Children read the book and add the number of hats made by Bunny.

Children complete blue Activity Card 16 by reviewing adding with 10.

GamesNeighborhood Sums

LiteratureFunny Bunny Hats

ActivitiesAdd with Ten

Essential QuestionReflect Using the Language Objective Partners prepare written instructions on how to use a ten frame to add 10 and some more.How can you use a ten frame to add 10 and some more? I can show 10 inside the ten frame and the other number outside the ten frame. Then I can count on from 10 to find the sum.

Math Journal Math

Use pictures or words to explain how you can solve 10 + 6.

Have children read Exercise 17. Ask them to describe how they will solve the problem.

DEEPER

MP5 Use appropriate tools strategically. In Exercise 17, children apply what they learned to an Add to/Result Unknown problem situation. Challenge children to prove that their solution makes sense by drawing or modeling the problem another way.

SMARTER

Exercise 18 assesses if children understand the concept of “ten and more.” Children who choose the wrong answer may count the full ten frame as 1 instead of 10. Using counters and a ten frame, have children fill in the frame and say 10. Offer additional counters to have children continue counting beyond 10.

Problem Solving • Applications

Mathematical Practices in Your Classroom PROFESSIONALDEVELOPMENT

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Add 10 and More

Draw red to show 10. Draw

yellow to show the other addend. Write the sum.

Draw red and yellow to solve.Write the addition sentence.

3. Linda has 10 toy cars. She gets 6 more cars.How many toy cars does she have now?

10 — + 6 — = 16 — toy cars

Problem SolvingProblem Solving

4. Math Use pictures or words to explain how you can solve 10 + 6.

Practice and Homework

COMMON CORE STANDARD—1.OA.C.6 Add and subtract within 20.

Lesson 3.7

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171 Chapter 3

Practice and HomeworkUse the Practice and Homework pages to provide children with more practice of the concepts and skills presented in this lesson. Children master their understanding as they complete practice items and then challenge their critical thinking skills with Problem Solving. Use the Write Math section to determine children’s understanding of content for this lesson. Encourage children to use their Math Journals to record their answers.

CCSS.Math.Practice.MP8 Look for and express regularity in repeated reasoning. Through multiple experiences adding a one-digit number to 10, children will understand and notice that “10” is in each teen number.

The number 15 can be shown with counters on a ten frame and with Secret Code Cards. Connecting the two representations allows children to see that both ways show the addition 10 1 5. Continuing to make the numbers 11–19 the same way will help children notice how each teen number shows the addition of 10 and another addend.

Personal Math Trainer

FOR MORE PRACTICE GO TO THE

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Lesson Check (1.OA.C.6)

1. Draw more to show the addition fact. Then solve.

10 1 3

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2. What number sentence does this model show?Write the number sentence.

10 — + 8 — = 18 —

Spiral Review (1.OA.A.1)

3. Show three different ways to make 10. Write the number sentences.

10 = — + — 10 = — + — 10 = — + —

4. There are 3 large turtles and 1 small turtle. How many turtles are there? Write the number sentence and how many.

4 — turtles 3 — + 1 — = 4 —

13

Possible answers: 5 + 5, 4 + 6, 3 + 7, 2 + 8, 1 + 9, 0 + 10, 10 + 0, 9 + 1, 8 + 2, 7 + 3, 6 + 4. Check children’s answers.

Lesson 3.7 172

Continue concepts and skills practice with Lesson Check. Use Spiral Review to engage children in previously taught concepts and to promote content retention. Common Core standards are correlated to each section.