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Name. Learning Objective. We will add decimals. CFU. What are we going to do?. Activate Prior Knowledge. A decimal number includes place values lower than the ones place . Digits to the right of the decimal point represent values less than one.
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Name Learning Objective We will add decimals. CFU What are we going to do? Activate Prior Knowledge • A decimal numberincludes place values lower than the ones place. • Digits to the right of the decimal point represent values less than one. Write the decimal numbers in the Place Value chart below and read them aloud. hundredths tenths tens ones 1. 8.12 2. 14.5 3. 16 4. 5.26 Make Connection Students, you already know how to identify the place and value for the digits of a decimal number. Now, we will use this skill to add decimal numbers. 1. 2. 3. 4.
Concept Development • Addition (+) means to put together. • To add, numbers are lined up by the place value of their digits. • A quick way to line up decimal numbers by place value is to line up • their decimal points. • 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. Add decimals 8.22 9.52 4.51 4.51 Tom and his grandfather went fishing. They both caught a fish. Tom’s fish weighed 8.12 pounds and his grandfather’s weighed 14.5 pounds. How many pounds of fish do they have altogether? + 1.74 + 1.74 + 12.3 + 12.3 1 4 5 0 1 . + 8 1 2 . 2 2 2 6 . They have 22.62 pounds of fish altogether. CFU Which choice shows4.51+ 12.3 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. Add decimals. Line up the decimal numbers by the place value of their digits. Add the digits in each place value.Hint: Start at the digit in the lowest place value. Compose a number, if needed. Hint: Move a group of numbers to the next higher place value. Interpret2 the sum. Hint: Answer the question. 1 2 a 3 + + + + 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 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. Add decimals. Line up the decimal numbers by the place value of their digits. Add the digits in each place value.Hint: Start at the digit in the lowest place value. 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 a 3 + + 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) + + Jody had ___________ of meat for the barbeque. Brandon had ___________ of pennies. 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 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. Adding decimal numbers will help you solve problems with measurement. 1 Nevaeh caught two big fish this morning. The first fish weighed 14.6 pounds and the second fish weighed 12.25 pounds. How many pounds of fish did Nevaeh catch? . 0 4 6 1 . 1 5 2 2 . 8 6 2 5 Nevaeh caught 26.85 pounds of fish. Adding decimal numbers will help you do well on tests. 2 Sample Test Question: 21. 12.32 + 4.5 A 12.77 B 16.82 C 12.57 D 16.42 + Does anyone else have another reason why it is relevant to add decimal numbers? (Pair-Share) Why is it relevant to add decimal numbers? 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. Add decimals. Skill Closure Line up the decimal numbers by the place value of their digits. Add the digits in each place value.Hint: Start at the digit in the lowest place value. 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 a 3 Word Bank decimal addition place value composing + + + Access Common Core The addition problem 3.57 + 23 is lined up incorrectly. Explain what error was made and how the error can be fixed. . 3 5 7 2 3 __________________________________________________________________________ _____________________________________ Summary Closure What did you learn today about adding decimals? (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. Add decimals. Line up the decimal numbers by the place value of their digits. Add the digits in each place value.Hint: Start at the digit in the lowest place value. 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 a 3 + + + + + +
Independent Practice (continued) + + • “It will cost Marilyn __________ for ____________.” • “It will cost Diego ___________ for • ________________.”
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. . . . 5 6 4 8 8 5 3 . . . 7 3 8 1 3 3 3 + + + + + + + + + 2a. 2b. 2c. 0 0 1 0 5 1 8 2 5 1 7 8 . . . 0 0 6 2 1 1 5 7 4 9 9 3a. 3b. 3c. . . . 3 5 1 4 6 9 9 4 4 5 2 2 . . . 5 9 1 2 3 0 2 6 6 5 4 6
Name Periodic Review 2 1. James is buying clothing at the store. If the pants he wants are $22.14 and the shirt is $14.75, how much will it cost for both items? “It will cost James ________ for the _____________________." 2. Juanita went to the movies with her little sister. If the tickets cost $14.00 and the popcorn costs $3.75, how much will it cost for the tickets and popcorn together? “It cost ________for Juanita’s and her little sister’s _________________________.” + + Access Common Core Oscar spilled White-Out on his math homework. Help Oscar fix his homework by filling in the missing numbers. Explain how you knew which numbers were missing. ________________________________________________________________ ________________________________________________________________ ________________________________________________________________
Name Periodic Review 3 1. Josephine is buying new school supplies. The notebooks she wants cost $13.20 and the pencils she wants are $3.65. How much are the two altogether? 1 1 1 1 . 3 4 5 4 7 . 4 4 0 2 . 9 0 5 9 4 “It will cost ________ for the_____________________________ Josephine wants.” Access Common Core 1. Describe and correct the error made in each of the addition problems. 1a. 1b. 1c. + 1 1 1 1 . 3 1 0 0 0 . . 1 1 1 1 . 2 0 7 6 4 7 6 8 5 6 9 4 9 8 2 . 5 7 2 . . 2. Describe and correct the error made in each of the addition problems. 2 1 3 2 5 . 2 9 2 4 0 2 3 3 2 5 . 6 7 9 4 4 8 2 2 6 . . . + + + + + + 5 0 0 0 . 8 9 0 9 4 1 1 7 4 9 6 9 7 6 0 2a. 2b. 2c. . 4 3 7 8 5