Welcome to 5 th Grade Math Review Properties of Operations
What do you notice in this chart? Are there any patterns? Powers of Ten
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 5 th Grade Math Review Properties of Operations
What do you notice in this chart? Are there any patterns? Powers of Ten
Strategy Time
Properties of Operations Math Journal Activity
Properties of Operations
Check Your Knowledge
Unit 1: Week 1; Lesson 1
What do you notice in this chart? Are there any patterns? Powers of Ten
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
16 SAMPLE PROBLEM #1 16 3 4(3 1) 22 11 Parenthesis 3 4(2) 22 11 16 4(8) 22 11 4(8) Exponents 22 11 32 22 11 32 2 Subtraction 30 This one is tricky! Remember: Multiplication/Division are grouped from left to right what comes 1 st? Division did now do the multiplication (indicated by parenthesis) More division
SAMPLE PROBLEM 3(2 3) 2 65 3(5) 2 65 2 2 Parenthesis Exponents 3(25) 65 75 65 10 5 2 2 2 Remember the division symbol here is grouping everything on top, so work everything up there first.multiplication Subtraction 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 Show if each expression below is less than greater than or equal to the given number 6. (4 2) 8 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