We will add numbers with composing.

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# We will add numbers with composing. - PowerPoint PPT Presentation

Name. Learning Objective. We will add numbers with composing. CFU. What are we going to do?. Activate Prior Knowledge. Add the numbers. 1. 9 + 6. 2. 8 + 4. Make Connection.

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Presentation Transcript

Name

Learning Objective

We will add numbers with composing.

CFU

What are we going to do?

Activate Prior Knowledge

1.

9

+ 6

2.

8

+ 4

Make Connection

Students, you already know how to add one-digit numbers. Sometimes, the sum of two one-digits number is two digits so we must compose a ten. Now, we will add numbers with composing.

Concept Development

• Addition (+) means to put together.
• To add, numbers are lined up by the place value of their digits.
• Composing a number means moving a group of numbers to
• the next higher place value.
• Composingis needed when the sum is 10 or more in a place-value column1.

Mr. Reyes’ 3rd-grade class is collecting canned food to donate to the local homeless shelter. So far, the class has collected 438cans. Today, Mr. Reyes’ students brought in 154more cans. How many cans has the class collected?

5 6 2

2 4 3

5 6 2

2 4 3

+ 3 9 8

+ 3 5 1

+ 3 9 1

+ 3 9 8

4

3

8

438 + 154 =

1

+

1

5

4

5

9

2

Composing a Ten

Mr. Reyes’ class collected 592 cans.

CFU

Which choice shows 562 + 398 lined up correctly?

How do you know?

A B

Which addition problem needs composing? How do you know?

A B

Vocabulary

1 lined up and down (gesture)

Skill Development/Guided Practice

• Addition (+) means to put together.
• Composing a number means moving a group of numbers to the next higher place value.
• Composingis needed when the sum is 10 or more in a place-value column.

Line up the digits by place value, if necessary.

Add the digit in each place value. Hint: Start from the ones place.

Compose a number, if needed.

Hint: Move a group of numbers to the next higher place value.

Interpret3 the sum. “The sum of _______ and _______ is _______.”

1

2

3

a

4

4

1

7

4

5

6

+

2

6

8

+

3

2

5

How did I/you identify what is being added?

How did I/you line up the digits by place value?

How did I/you add each digit?

How did I/you compose a number, if needed?

CFU

2 find

3 explain

Vocabulary

1

2

3

3a

Skill Development/Guided Practice (continued)

• Addition (+) means to put together.
• Composing a number means moving a group of numbers to the next higher place value.
• Composingis needed when the sum is 10 or more in a place-value column.

Read the problem and identify what is being added, if necessary. (underline)

Line up the numbers by the place value of their digits, if necessary.

Add the digit in each place value. Hint: Start from the ones place.

Compose a number, if needed.

Hint: Move a group of numbers to the next higher place value.

Interpret the sum. Hint: Answer the question.

1

2

3

a

4

How did I/you identify what is being added?

How did I/you line up the digits by place value?

How did I/you add each digit?

How did I/you compose a number, if needed?

CFU

1

2

3

3a

Skill Development/Guided Practice (continued)

How did I/you determine what the question is asking?

How did I/you determine the math concept required?

How did I/you determine the relevant information?

How did I/you solve and interpret the problem?

How did I/you check the reasonableness of the answer?

CFU

4 unit of land measure

Vocabulary

1

2

3

4

5

Relevance

• Addition (+) means to put together.
• Composing a number means moving a group of numbers to the next higher place value.
• Composingis needed when the sum is 10 or more in a place-value column.

1

Jeremiah has 479 baseball cards. He was given a box of 150 more cards. How many baseball cards does he have now?

479

+150

629

2

Sample Test Question:

17. The small town of Fillmore has 489 grown-ups and 238 children. How many people live in Fillmore?

A 727

B 617

C 717

D 627

Does anyone else have another reason why it is relevant to add numbers with composing? (Pair-Share) Why is it relevant to add numbers with composing? You may give me one of my reasons or one of your own. Which reason is more relevant to you? Why?

CFU

Addition (+) means to put together.

• Composing a number means moving a group of numbers to the next higher place value.
• Composingis needed when the sum is 10 or more in a place-value column.

Skill Closure

Line up the numbers by the place value of their digits, if necessary.

Add the digit in each place value. Hint: Start from the ones place.

Compose a number, if needed.

Hint: Move a group of numbers to the next higher place value.

Interpret the sum. Hint: “The sum of ___ and ___ is ___.” or Answer the question.

1

2

3

a

Word Bank

4

compose

line up

place value

sum

+

4

5

6

+

2

3

8

Access Common Core

How would you line up the addition problem 478 + 14?

How do you know?

___________________________________________

___________________________________________

Summary Closure

composing? (Pair-Share) Use words from the word bank.

Day 1 ___________________________________________

________________________________________________

Day 2 ___________________________________________

________________________________________________

Name

Independent Practice

• Addition (+) means to put together.
• Composing a number means moving a group of numbers to the next higher place value.
• Composingis needed when the sum is 10 or more in a place-value column.

Line up the numbers by the place value of their digits, if necessary.

Add the digit in each place value. Hint: Start from the ones place.

Compose a number, if needed. Hint: Move a group of numbers to the next higher place value.

Interpret the sum. Hint: “The sum of ___ and ___ is ___.” or Answer the question.

1

2

3

a

4

5

3

7

+

1

1

6

Name

Access Common Core

Before completing the problems below, identify the addition problems that will need composing. In which place value is composing needed?

Explain how you know an addition problem will need composing.

__________________________________________________________________

__________________________________________________________________

__________________________________________________________________

Periodic Review 1

1a.

1b.

1c.

6

6

7

3

0

1

4

0

6

+

2

9

1

+

3

1

7

+

1

4

7

2a.

2b.

2c.

3

3

4

2

9

3

6

1

6

+

4

1

2

+

6

2

4

+

1

7

6

3a.

3b.

3c.

3

1

9

8

9

3

3

0

0

+

4

5

8

+

2

0

+

5

6

8

Name

Periodic Review 2

1

1

1

3

1

2

9

1

3

3

6

5

+

+

+

2

7

1

7

3

7

6

7

2

5

7

4

7

8

2

1

7

6

Access Common Core

Annabelle spilled White-Out on her math homework.

Help Annabelle fix her homework by filling in the missing numbers.

Explain how you knew which numbers were missing.

1.

2.

3.

__________________________________________________________________

__________________________________________________________________

__________________________________________________________________

Name

Periodic Review 3

Access Common Core

3

6

6

5

1

7

6

2

2

3

0

4

1. Describe and correct the error made in each of the addition problems.

+

+

+

+

4

2

1

2

9

0

4

9

6

8

8

8

1a.

1b.

1c.

1

1

1

1

1

1

9

7

8

7

8

6

1

5

8

8

2

1

1

1

8

+

3

2

6

5

4

4

__________________________________________________________________

__________________________________________________________________

2a.

2c.

2b.

2. Describe and correct the error made in each of the addition problems.

4

4

4

+

2

1

7

6

5

1

__________________________________________________________________

__________________________________________________________________