Day 4 Presentation

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Math Foundations: Unit 1

Day 4: Order of Operations

Today's Objectives

Understand why we need an Order of Operations.
Learn the meaning of PEMDAS.
Apply PEMDAS to solve problems with multiple steps.

Warm-Up: A Math Puzzle

What is the answer to this problem?

5 + 2 x 3 = ?

Is it 21? Or is it 11? Why can there be two different answers?

The Big Idea: Rules of the Road

Just like traffic laws prevent chaos on the road, the Order of Operations prevents chaos in math.

It's a set of rules everyone agrees to follow so we all get the same answer for the same problem.

The correct answer to 5 + 2 x 3 is 11. Let's see why.

Meet PEMDAS

We can remember the order with the acronym PEMDAS.

P - Parentheses (Do stuff in groups first)

E - Exponents (We'll learn these later)

M/D - Multiplication & Division (Partners - go left to right)

A/S - Addition & Subtraction (Partners - go left to right)

Think of it as Power Levels

Level 1 (Highest Power): Parentheses ( )

Solve anything inside grouping symbols first.

Level 2: Multiplication (x) & Division (÷)

These are partners. Solve them as you see them from left to right.

Level 3 (Lowest Power): Addition (+) & Subtraction (-)

These are also partners. Solve them last, from left to right.

Let's Solve Together: Step-by-Step

Problem: 20 - (3 + 1) x 4

1. Parentheses: (3 + 1) = 4

Now the problem looks like this: 20 - 4 x 4

2. Multiplication: 4 x 4 = 16

Now the problem looks like this: 20 - 16

3. Subtraction: 20 - 16 = 4

Final Answer: 4

Exit Ticket

On a piece of paper, solve the following problem using the Order of Operations:

16 ÷ 4 + 2 x 5

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Day 4 Notes: Order of Operations

The Big Idea: Rules of the Road

The Order of Operations is a set of rules everyone agrees to follow so we all get the same answer for the same problem.

The acronym to remember the order is .

PEMDAS Power Levels

Level 1 (Highest Power):

Level 2:

Level 3 (Lowest Power):

Practice Problem

Solve 20 - (3 + 1) x 4 step-by-step.

1. Parentheses:

2. Multiplication:

3. Subtraction (Final Answer):

Exit Ticket

Solve the following problem using the Order of Operations:

16 ÷ 4 + 2 x 5

My Answer: