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Understand Parentheses

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Lesson Plans and Worksheets for Grade 3
Lesson Plans and Worksheets for all Grades
Common Core For Grade 3
More Lessons for Grade 3 Math



Examples, videos, and solutions to help Grade 3 students learn how to understand the function of parentheses and apply to solving problems.

Common Core Standards: 3.OA.3, 3.OA.4, 3.OA.5, 3.OA.7, 3.OA.1, 3.OA.2, 3.OA.6, 3.OA.8

New York State Common Core Math Grade 3, Module 3, Lesson 8

Worksheets for Grade 3


Application Problem

Richard has 2 cartons with 6 eggs in each. As he opens the cartons, he drops 2 eggs. How many unbroken eggs does Richard have left?

Note: This problem provides context for solving equations involving multiple operations, which is central to the Concept Development.

Concept Development

Part 1: Solve equations containing parentheses.

Part 2: Explore how moving the parentheses can change the answer in an equation.



Lesson 8 Homework

1. Solve.
a. 9 - (6 + 3) = ______
b. (9 - 6) + 3 = ______
c. ______= 14 - (4 + 2)
d. ______ = (14 - 4) + 2
e. ______ = (4 + 3) × 6
f. ______ = 4 + (3 × 6)
g. (18 ÷ 3) + 6 = ______
h. 18 ÷ (3 + 6) = ______

2. Use parentheses to make the equations true.
a. 14 - 8 + 2 = 4
b. 14 - 8 + 2 = 8
c. 2 + 4 × 7 = 30
d. 2 + 4 × 7 = 42
e. 12 = 18 ÷ 3 × 2
f. 3 = 18 ÷ 3 × 2
g. 5 = 50 ÷ 5 × 2
h. 20 = 50 ÷ 5 × 2

3. Determine if the equation is true or false.
a. (15 - 3) ÷ 2 = 6 Example: True
b. (10 - 7) × 6 = 18
c. (35 - 7) ÷ 4 = 8
d. 28 = 4 × (20 - 13)
e. 35 = (22 - 8) ÷ 5

4. Jerome finds that (3 × 6) ÷ 2 and 18 ÷ 2 are equal. Explain why this is true.
5. Place parentheses in the equation below so that you solve by finding the difference between 28 and 3. Find the answer.
4 × 7 - 3 =

6. Johnny says that the answer to 2 × 6 ÷ 3 is 4 no matter where the parentheses are. Do you agree?
Place parentheses around different numbers to show his thinking.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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