Welcome to 5th Grade Math Review Properties of...
Transcript of Welcome to 5th Grade Math Review Properties of...
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Welcome to 5th Grade Math –
Review – Properties of Operations
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Powers of Ten What do you notice in this chart?
Are there any patterns?
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Strategy Time
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Interactive Math Journal
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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
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Welcome to 5th Grade Math –
Review – Properties of Operations
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Powers of Ten What do you notice in this chart?
Are there any patterns?
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Strategy Time
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Properties of Operations Math Journal Activity
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Unit 1: Week 1; Lesson 1
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Powers of Ten What do you notice in this chart?
Are there any patterns?
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Strategy Time
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Unit 1: Order of Operations and
Whole Numbers
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MGSE.5.OA.1
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What do you know…
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Breaking down the standard -
MGSE5.OA.1
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MGSE.5.OA.1
What property of
operations talks in
terms of grouping?
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Breaking down the
standard - MGSE.5.OA.2
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EXPECTATIONS
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Okay – So what about the
Properties?
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Just the facts:
Order of Operations and
Properties of real numbers
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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.
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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
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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
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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
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Order of Operations-BASICS
Think: PEMDAS
Please Excuse My Dear Aunt Sally
• Parenthesis
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
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Order of Operations-BASICS
Think: GEMDAS
• Grouping Symbols
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
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Interactive Math Journal
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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.
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Practice Pages
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Unit 1: Week 1; Lesson 2
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Unit 1: Week 1, Lesson 2
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Powers of Ten
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Strategy Time
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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.
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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
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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
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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.
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Practice Pages
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Unit 1: Week 1; Lesson 3
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Unit 1: Week 1, Lesson 3
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Powers of Ten
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Strategy Time
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Rehashing Expressions
VS.
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5.OA.1 & 5.OA.2 – Let’s Review Together
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5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols
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2 + 3 x (5 x 3) 2 x (5 + 3)
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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.
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Practice Pages
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Unit 1: Week 1; Lesson 4
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Unit 1: Week 1, Lesson 4
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Powers of Ten
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Strategy Time
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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!!!
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Let’s Do Some WORK…
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Let’s Do Some WORK…
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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.
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Practice Pages
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Unit 1: Week 1; Lesson 5
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Unit 1: Week 1, Lesson 5
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Powers of Ten
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Strategy Time
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Practice Pages
5.OA.1 & 5.OA.2
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Weekly Skill Check
• Standards:
– 5.OA.1
– 5.OA.2
– 5.NBT.1
– 5.NBT.2
– 5.NBT.5