welcome to 5th grade math review properties of...

Welcome to 5th Grade Math –

Review – Properties of Operations

Powers of Ten What do you notice in this chart?

Are there any patterns?

Strategy Time

Interactive Math Journal

Today’s Lesson: Review of Properties of Operations

• Review of Properties of Operations:

– Commutative Property (Addition &

Multiplication)

– Associative Property (Addition &

Multiplication)

– Identity Properties of Addition & Multiplication

– Distributive Property

Welcome to 5th Grade Math –

Review – Properties of Operations

Powers of Ten What do you notice in this chart?

Are there any patterns?

Strategy Time

Properties of Operations Math Journal Activity

Properties of Operations

Check Your Knowledge

Unit 1: Week 1; Lesson 1

Powers of Ten What do you notice in this chart?

Are there any patterns?

Strategy Time

Unit 1: Order of Operations and

Whole Numbers

MGSE.5.OA.1

What do you know…

Breaking down the standard -

MGSE5.OA.1

MGSE.5.OA.1

What property of

operations talks in

terms of grouping?

Breaking down the

standard - MGSE.5.OA.2

EXPECTATIONS

Okay – So what about the

Properties?

Just the facts:

Order of Operations and

Properties of real numbers

Important things to remember

• Parenthesis – anything grouped… including information above or below a fraction bar.

• Exponents – anything in the same family as a ‘power’… this includes radicals (square roots).

• Multiplication- this includes distributive property (discussed in detail later).

Some items are grouped!!!

• Multiplication and Division are GROUPED from left to right (like reading a book- do whichever comes first.

• Addition and Subtraction are also grouped from left to right, do whichever comes first in the problem.

So really it looks like this…..

• Parenthesis

• Exponents

• Multiplication and Division

• Addition and Subtraction

In order from left to right

In order from left to right

SAMPLE PROBLEM #1

1122)13(416 3

1122)8(416

1122)2(416 3

1122)8(4

112232232

30

Parenthesis

Exponents

This one is tricky!

Remember: Multiplication/Division are grouped from left to right…what comes 1st?

Division did…now do the multiplication (indicated by parenthesis)

More division

Subtraction

SAMPLE PROBLEM

2

65)32(3 2

2

65)5(3 2

2

65)25(3

2

6575

2

105

Subtraction

Exponents

Remember the division

symbol here is grouping

everything on top, so

work everything up there

first….multiplication

Parenthesis

Division –

because all the

work is done

above and

below the line

Order of Operations-BASICS

Think: PEMDAS

Please Excuse My Dear Aunt Sally

• Parenthesis

• Exponents

• Multiplication

• Division

• Addition

• Subtraction

Order of Operations-BASICS

Think: GEMDAS

• Grouping Symbols

• Exponents

• Multiplication

• Division

• Addition

• Subtraction

Interactive Math Journal

Applying The Standards Complete ATS.5 to turn in. In order

to get full credit, make sure that:

• Show your work!! I need to see your steps on paper.

• Write in complete sentences in your reflection. Make sure to restate the question when answering.

Practice Pages

Unit 1: Week 1; Lesson 2

Unit 1: Week 1, Lesson 2

Powers of Ten

Strategy Time

5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols Let’s read a word problem together and turn

it into a numerical expression.

Let’s work together to draw a model to represent this problem.

Let’s Do Some WORK…

Let’s Try a Few Together:

(29 – 18) + 14 ÷ 2 + 6

64 ÷ 8 x 2

25 + 18 ÷ 6 – 1

[8 + (14 ÷ 2)] x 3 – 20

Add parenthesis to make each expression true.

30 – 4 x 2 + 5 = 2

30 – 4 x 2 + 5 = 57

Your Turn Work with your tablemates to solve the following equations

(simplify).

Add parenthesis to make each

expression true.

17 – 8 – 5 = 14

17 – 8 – 5 = 4

10 ÷ 2 – 3 + 1 = 3

10 ÷ 2 – 3 + 1 = 1

Applying The Standards

Complete ATS.6 to turn in. In order

to get full credit, make sure that:

• Show your work!! I need to see your steps on paper.

• Write in complete sentences in your reflection. Make sure to restate the question when answering.

Practice Pages

Unit 1: Week 1; Lesson 3

Unit 1: Week 1, Lesson 3

Powers of Ten

Strategy Time

Rehashing Expressions

VS.

5.OA.1 & 5.OA.2 – Let’s Review Together

5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols

2 + 3 x (5 x 3) 2 x (5 + 3)

Applying The Standards

Complete ATS.7 to turn in. In order

to get full credit, make sure that:

• Show your work!! I need to see your steps on paper.

• Write in complete sentences in your reflection. Make sure to restate the question when answering.

Practice Pages

Unit 1: Week 1; Lesson 4

Unit 1: Week 1, Lesson 4

Powers of Ten

Strategy Time

5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols

(4 – 2)

8

Show if each expression below is less than greater than or equal to the given number 6.

BONUS!!! BONUS!!! BONUS!!! Good Luck!!!

Let’s Do Some WORK…

Let’s Do Some WORK…

Applying The Standards

Complete ATS.8 to turn in. In order

to get full credit, make sure that:

• Show your work!! I need to see your steps on paper.

• Write in complete sentences in your reflection. Make sure to restate the question when answering.

Practice Pages

Unit 1: Week 1; Lesson 5

Unit 1: Week 1, Lesson 5

Powers of Ten

Strategy Time

Practice Pages

5.OA.1 & 5.OA.2

Weekly Skill Check

• Standards:

– 5.OA.1

– 5.OA.2

– 5.NBT.1

– 5.NBT.2

– 5.NBT.5