do now with the use of a calculator · 2016-10-25 · notes,whiteboard,whiteboard page,notebook...

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03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook 1 October 25, 2016 Topic : Rational Numbers and Operations Aim : Where do the rules for multiplying and dividing signed numbers come from? Do Now: Pattern Finders! Complete the table below, WITH THE USE OF A CALCULATOR: 15 10 5 -5 0 -10 -15 -15 -10 -5 5 0 10 15 Reason Inductively: Can you find any patterns in the tables? If so, describe them. fo Homework Complete Handout Date :

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Page 1: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

1

October 25, 2016

Topic: Rational Numbers and OperationsAim: Where do the rules for multiplying and dividing signed numbers come from?

Do Now: Pattern Finders! Complete the table below, WITH THE USE OF A CALCULATOR:

15 10 5 -50 -10 -15

-15 -10 -5 50 10 15Reason Inductively: Can you find any patterns in the tables? If so, describe them.

• When is the product of two integers a positive number?• When is the product a negative number?• Why would the rules for dividing be the same as the rules for multiplication?

HomeworkComplete Handout

Date: 

Page 2: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

2

October 25, 2016

Practice Makes Us Perfect!Directions: Copy this table in your notebooks.

Page 3: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

3

October 25, 2016

When Multiplying and Dividing Signed Numbers:

Rules for MULTIPLYING & DIVIDING Signed Numbers

Multiply or divide 2 digits at a time

SAME SIGNS POSITIVE

DIFFERENT SIGNS NEGATIVE

What should we write for the rules of multiplying and dividing?

click box to reveal

Page 4: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

4

October 25, 2016

Let's Review What We Have Learned!

Page 5: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

5

October 25, 2016

Multiplying Integers In the Real World

Once a parachute is opened, a skydiver descends at a rate of about 5 meters per 

second.  (a) Where will the skydiver be in relation to where the parachute was opened after 4 

seconds?(b) Write a multiplication sentence to represent 

the skydiver's position after 5 seconds.

Page 6: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Dividing Integers In the Real WorldEeeew.. Did you know you lose about 1,800,000 dead skin cells every hour? How many skin cells do you lose every minute? Express your answer as an integer.

Page 7: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

7

October 25, 2016

Are You Ready for a CHALLENGE !?!?

Page 8: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

8

October 25, 2016

What do we do with exponents?

Expand it out! Expand it out!

Page 9: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

9

October 25, 2016

-9

Evaluating Exponents

BE CAREFUL WITH NEGATIVE NUMBERS!!!What an exponent is touching is expanded out!

­32 (­3)2

­ 3 3 (­3)(­3)

exponent is only touching the 3drop negativewrite 3 two times

exponent is touching parenthesiswrite everything in parenthesis two times

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Page 10: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

#1) #2)

#3) #4)

#5)

Page 11: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

HOMEWORK

Complete Handout

SUMMARY

How do we know if our answer will be positive or negative when we are 

multiplying or dividing signed numbers?

Page 12: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Interactive Activity #1

Page 13: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

13

October 25, 2016

LESSON:  03­13

Page 14: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Interactive Activity #2

Are you a NINJA?

Page 15: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

Page 16: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

Page 17: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

Page 18: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

18

October 25, 2016

Practice Problems

(­2)(­3)(­4) = 24

Page 19: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

Page 20: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

Page 21: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

Page 22: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Topic: Rational Numbers and OperationsAim: How can we practice our conversionsby applying our knowledge of theoperations with signed numbers?

15 10 5 -50 -10 -15

-15 -10 -5 50 10 15

Reason inductively: Can you find any patterns in the tables? If so, describe them.

Date: 12‐1‐14

Do Now: Simplify.

1.    (‐7)2     2.    ‐72 3.   (‐5)(‐4)(2)(‐3)

Homework1. Complete Handout2. STUDY for Quiz on 

Multiplying and Dividing Signed Numbers on MONDAY!!! 

Page 23: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Let's Review What We Have Learned!

Page 24: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

Page 25: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

Page 26: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

Page 27: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

Page 28: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

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October 25, 2016

Practice Problems

Page 29: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

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October 25, 2016

Practice Problems

Page 30: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

Page 31: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

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03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

Page 33: Do Now WITH THE USE OF A CALCULATOR · 2016-10-25 · Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard

03_12_13_14_Multiplying_Dividing_Signed_Numbers.notebook

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October 25, 2016

Practice Problems

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October 25, 2016