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Introduction to Order of Operations

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What you will learn from this videoWhat you will learn

Groupings include parentheses, brackets and braces. Always solve what is inside them first.
Then multiply/divide left to right before adding/subtracting left to right.
Following the order of operations allows everyone to get the same correct answer.

Discussion Questions
- Before Video
  If you are going to add 3, 7 and 5 together, does the order you add them in matter? Why or why not?ANSWER
  - I can add 3 and 7 to make 10 then 5 to make 15. Or I can add 7 and 5 to make 12 then 3 to make 15. The order does not matter.
  In the following expression, 3 + 2 x 4 , does the order you evaluate the operations matter? Try both ways to find out.ANSWER
  - The order does matter. (3 + 2) x 4 = 5 x 4 = 20 and 3 + (2 x 4) = 3 + 8 = 11.
  How can you write an expression to solve the following problem: Sasha made 4 bracelets on Monday. She made 2 each day for the next 5 days. How many bracelets did she make in all?ANSWER
  - 4 + 2 x 5
  What is one reason it is important that everyone evaluates expressions in the same way?ANSWER
  - Sample answer: Scientists need to evaluate expressions to calculate important numbers. If two scientists do the same calculation, they need to get the same answer.
  For everyone to calculate expressions the same way there needs to be a set of rules that everyone can follow. What do you think those rules could be?ANSWER
  - Sample answer: I multiply and divide first. If there is more than one multiplication or division I calculate left to right. Then I add or subtract, left to right.
- After Video
  Do you get the same value when you evaluate (5 – 2) – 1 and 5 – (2 – 1)? Explain.ANSWER
  - (5 – 2) – 1 = 2 and 5 – (2 – 1) = 4. You do not get the same value. In the first example, you subtract 2 from 5 first and then subtract 1. In the second example, you subtract 1 from 2 and then you subtract that answer from 5. This results in different answers for the two expressions.
  Describe the steps you would take to evaluate this expression: [(6 + 2) – 3] x 8ANSWER
  - Add 6 + 2 to get 8. Subtract 3 from 8 to get 5. Multiply 5 x 8 to get 40.
  Put parentheses into this expression so its value is 16: 5 + 3 x 15 - 13
  ANSWER
  - (5 + 3) x (15 – 13)
  Evaluate this expression.
  (1/8 + 5/8) + (3 x 2)
  ANSWER
  - 6 6/8 or 6 3/4
  Write an expression to model this problem:
  Marina has 65 toy cars to sell. 15 are yellow, 30 are green, and the rest are red. How many of Marina's toy cars are red?
  ANSWER
  - 65 – (15 + 30)
Vocabulary
- Order of Operations DEFINE
- Parentheses DEFINE
- Brackets DEFINE
- Expression DEFINE
- Operation DEFINE
- Evaluate DEFINE

Reading Material
Practice Word Problems
Practice Number Problems
Lesson Plan
Teacher Guide
Assessment
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Introduction to Order of Operations

What you will learn from this videoWhat you will learn

Discussion Questions

Before Video

After Video

Vocabulary

Reading Material

Practice Word Problems

Practice Number Problems

Lesson Plan

Teacher Guide

Assessment