Page 66 - NUMINO TG_6A
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04With Parentheses Unit
Objective: Learn how to use the order of operations to solve problems
Show how parentheses are used to change the order of operations. Students will use the order of operations to
solve problems with parentheses.
When solving problems with The values of expressions
parentheses, perform the with the same operation When an expression has the same numbers
operations inside the symbols and numbers can and operations, the placement of
parentheses first. differ depending on the parentheses can change the value of the
5 (2 1) 3 = 5 3 3 placement of parentheses. expression. Have the students look at the
three problems on the top right of the page
=5 1 5 4 3 2 = 19 to confirm this fact.
5 (4 3) 2 = 7
=4 5 4 (3 2) = 15
Insert parentheses to make different values. Have the students place parentheses on the
expression “1 2 3 4” to make different
Have students check their work with classmates. values.
( 1 2 ) 3 4 = 13 The order of operations for the problems are
shown below.
1 (2 3 ) 4 = 11 8 3 2 10 12 4 7 6
1 2 ( 3 4 ) = 15
Evaluate each expression. Make sure students show their work so that if they make a mistake, (14 6) 5 16 20 (13 9) 3
they can find where that mistake came from.
8 3 2 10 12 4 7 6
= 8 6 10 = 3 42
= 2 10 = 45
= 12
14 6 5 16 20 13 9 3
= 8 5 16 = 20 4 3
= 40 16 =5 3
= 24 =2
4. With Parentheses 29
Problems: Have the students practice using the order of operations by evaluating expressions with
parentheses.
1. 15 (5 2) 2 2. 42 (3 2) 5 3. 8 (7 5) 6
4. (12 8) 5 10 5. 8 (27 18) 7 6. 5 (4 3 2) 1
Answer: 1. 15 (5 2) 2 = 10 2. 42 (3 2) 5 = 35 3. 8 (7 5) 6 = 16
4. (12 8) 5 10 = 10 5. 8 (27 18) 7 = 65 6. 5 (4 3 2) 1 = 15
6A Unit 04 049
Objective: Learn how to use the order of operations to solve problems
Show how parentheses are used to change the order of operations. Students will use the order of operations to
solve problems with parentheses.
When solving problems with The values of expressions
parentheses, perform the with the same operation When an expression has the same numbers
operations inside the symbols and numbers can and operations, the placement of
parentheses first. differ depending on the parentheses can change the value of the
5 (2 1) 3 = 5 3 3 placement of parentheses. expression. Have the students look at the
three problems on the top right of the page
=5 1 5 4 3 2 = 19 to confirm this fact.
5 (4 3) 2 = 7
=4 5 4 (3 2) = 15
Insert parentheses to make different values. Have the students place parentheses on the
expression “1 2 3 4” to make different
Have students check their work with classmates. values.
( 1 2 ) 3 4 = 13 The order of operations for the problems are
shown below.
1 (2 3 ) 4 = 11 8 3 2 10 12 4 7 6
1 2 ( 3 4 ) = 15
Evaluate each expression. Make sure students show their work so that if they make a mistake, (14 6) 5 16 20 (13 9) 3
they can find where that mistake came from.
8 3 2 10 12 4 7 6
= 8 6 10 = 3 42
= 2 10 = 45
= 12
14 6 5 16 20 13 9 3
= 8 5 16 = 20 4 3
= 40 16 =5 3
= 24 =2
4. With Parentheses 29
Problems: Have the students practice using the order of operations by evaluating expressions with
parentheses.
1. 15 (5 2) 2 2. 42 (3 2) 5 3. 8 (7 5) 6
4. (12 8) 5 10 5. 8 (27 18) 7 6. 5 (4 3 2) 1
Answer: 1. 15 (5 2) 2 = 10 2. 42 (3 2) 5 = 35 3. 8 (7 5) 6 = 16
4. (12 8) 5 10 = 10 5. 8 (27 18) 7 = 65 6. 5 (4 3 2) 1 = 15
6A Unit 04 049
