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