lesson 1 generating equivalent expressions€¦ ·  · 2015-12-15lesson 1 generating equivalent...

30
Expressions.Equations per 2.notebook 1 December 14, 2015 Oct 135:31 PM Module 3 Expressions and Equations Sep 712:22 PM Lesson 1 Generating Equivalent Expressions

Upload: lekhanh

Post on 19-May-2018

232 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

1

December 14, 2015

Oct 13­5:31 PM

Module 3Expressionsand Equations

Sep 7­12:22 PM

Lesson 1 Generating Equivalent Expressions

Page 2: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

2

December 14, 2015

Nov 15­5:59 PM

Order of Operations

Sep 18­8:29 AM

6x 3x 8y 2y 4 2 x ­+ ÷

terms

expression in expanded formexpression or numerical expression

variable

coefficient

expression in standard form

value

6x + 4 + 3x

Page 3: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

3

December 14, 2015

Nov 15­7:51 PM

terms

expression in expanded form

expression or numerical expression

variable

coefficient

expression in standard form

value

Nov 15­7:52 PM

Find the sum of ­3y + 2 and 5y ­ 3.

Find the sum of 2x + 1 and 5y.

Find the product of 2x and 3. 

Write equivalent expressions for the following: 

What do you notice about adding and multiplying coefficients and variables?

Verify that the two expressions are equivalent using the given values: x = 2 and y = ­3

Page 4: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

4

December 14, 2015

Nov 15­7:58 PM

Complete Example 3 on S3 in groups on the big white boards.

 

Verify that the two expressions are equivalent using the given valuesyour groups chooses for the variables. 

We will complete (a) together.

Nov 17­10:09 AM

Page 5: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

5

December 14, 2015

Nov 12­7:33 PM

Assignment:   ENY 3.1 PS #1­18 

Complete the Exit Ticket independently. I willcheck and collect them as you finish. 

Oct 14­12:56 PM

Lesson 2More Equivalent Expressions

Page 6: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

6

December 14, 2015

Nov 16­5:36 PM

What is an additive inverse? 

What is a multiplicative inverse? 

expression additive inverse & proof

multiplicative inverse & proof

1

3x

Nov 16­5:36 PM

Take out all the student pages for lesson 2.

Page 7: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

7

December 14, 2015

Nov 12­7:33 PM

Assignment:   ENY 3.2 PS #1­7

Complete the Exit Ticket independently and raise your hand when you've completed it.

Oct 14­12:56 PM

Lesson 3­4Writing Products as Sums

andSums as Products

Page 8: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

8

December 14, 2015

Nov 18­10:16 PM

(6x + 15)    3÷ 5(7r ­ 5s) + 5(3r ­ 4s)Write the expressions in standard form. 

3(x + 2y +  5z)

Nov 18­10:16 PM

(6x + 15)    3÷

5(7r ­ 5s) + 5(3r ­ 4s)

Write the expressions in standard form. 3(x + 2y +  5z)

Page 9: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

9

December 14, 2015

Nov 18­10:16 PM

48j + 60k + 24

5a ­ (a ­ 3b)Write the expressions in standard form. 

Write the sum as a product of two factors. 

Nov 19­8:26 AM

Complete the problems on S15, S19, S21, and S20 in your group. 

1.  Write the standard form of each expression on your own FIRST 

2. Compare that expression with your group members 

Page 10: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

10

December 14, 2015

Nov 12­7:33 PM

Assignment:   ENY 3.3 PS #4­5 ENY 3.4 PS #1,2,5,6,7

Complete the Lesson 4 Exit Ticket independently.

Oct 14­12:56 PM

Lesson 4Standard Form to Expanded Form

Page 11: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

11

December 14, 2015

Nov 28­8:51 AM

Go back to Lesson 2 and find Sprint Round 1. Combine like terms to write the standard form of each expression. 

Look back at your standard form of each expression. Can you write any of the expression as a product of two factors? (find a common factor)

Nov 30­10:01 AM

Page 12: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

12

December 14, 2015

Nov 18­10:16 PM

36r + 9s + 24

6x ­ (x ­ 4y)Write the expressions in standard form. 

Write the sum as a product of two factors. 

Nov 28­8:56 AM

Take out S20 and S21

Page 13: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

13

December 14, 2015

Nov 12­7:33 PM

Assignment:   ENY 3.4 PS #1,2, 4, 5,6,7 and the Sprint Round 2 from Lesson 2 

Complete the Lesson 4 Exit Ticket independently.

Nov 19­8:26 AM

Complete the problems on S15, S21, and S20 in your group on the BIG WHITE BOARD. 

1.  Write the standard form of each expression on your own FIRST 

2. Compare that expression with your group members SKI

P

Page 14: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

14

December 14, 2015

Oct 14­12:56 PM

Lesson 6Rational Numbers in Algebraic Expressions

Nov 28­9:07 AM

Take out all the pages for Lesson 6

Complete the Opening Exercise #1­4 on your own with a partner around you. 

1. 77 1/4 kg2. 11/303. ­3 4/54. 2 2/55. 1 3/5 (1 ­ 3/4) or ­1  

6. 2       (n)1136

2325

ANSWERS

1.

Page 15: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

15

December 14, 2015

Dec 1­10:22 AM

Nov 28­9:17 AM

Rewrite the Expression in Standard Form. Where should we start?

Page 16: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

16

December 14, 2015

Nov 28­9:28 AM

Rewrite the Expression in Standard Form. Where should we start?

Nov 12­7:33 PM

Assignment:   ENY 3.6 PS #2(a­c), 3( choose 10)

1 ( challenge problems)

Complete the Exit Ticket independently and raise your hand when you've completed it.

Page 17: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

17

December 14, 2015

Oct 14­12:56 PM

Lesson 7UnderstandingEquations

Dec 4­10:15 AM

Page 18: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

18

December 14, 2015

Nov 28­9:55 AM

Check whether the given value is a solution to the equation. 

3x + 8 = 14

x = 21

Take out all the pages for Lesson 7

x = 14

3x + 8 = 14 3x + 8 = 14

3x + 8 = 14

Nov 28­9:57 AM

S39: Example 1The ages of three sisters are consecutive integers. The sum of their ages is 45. Find their ages.a. Write an equation to represent the situation.

b. If the youngest sister is x years old, describe the ages of the other two sisters in terms of x, write an expression for the sum of their ages in terms of x, and use that expression to write an equation that can be used to find their ages. 

c. Determine if your answer is a solution to the equation.

Page 19: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

19

December 14, 2015

Nov 12­7:33 PM

Assignment:   ENY 3.7 PS #1­4

Complete the Exit Ticket with a partner or small group. 

Nov 12­7:33 PM

Page 20: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

20

December 14, 2015

Dec 8­7:50 AM

Solving Algebraic Equations

Dec 8­7:50 AM

What does "Solving Algebraic Equations" mean to you?

­ 4(m + 3) = 24

Page 21: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

21

December 14, 2015

Dec 8­7:50 AM

Dec 8­7:56 AM

Page 22: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

22

December 14, 2015

Dec 8­10:40 AM

Oct 14­12:56 PM

Writing and Graphing Inequalities

Mrs. Tang's Website

Big Ideas Online Textbook

Page 23: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

23

December 14, 2015

Dec 9­6:31 PM

≤≥

><

=What do these symbols represent? 

:is no more than

:is fewer than

:is at most

:is more than

:is at least:is no less than

Dec 9­6:25 PM

10 2 3 4 5 6 7 8 9 10­1­2­3­4­5­6­7­8­9­10

10 2 3 4 5 6 7 8 9 10­1­2­3­4­5­6­7­8­9­10

10 2 3 4 5 6 7 8 9 10­1­2­3­4­5­6­7­8­9­10

x < ­1

x >  52

x > 7.3

Page 24: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

24

December 14, 2015

Dec 9­6:35 PM

Writing an inequality from a mathematical statement.

A number q  plus 5 is greater than or equal to ­7.9.

A number x is at most ­10.

Twice a number y  is more than ­       .   53

Dec 9­6:35 PM

Writing an inequality from a mathematical statement.

A number q  plus 5 is greater than or equal to ­7.9.

A number x is at most ­10.

Twice a number y  is more than ­       .   53

≤x      ­10

q + 5     ­7.9≥

53

2y > ­

≤x      ­10

Page 25: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

25

December 14, 2015

Dec 9­6:31 PM

≤x + 2      ­1 

><

=Tell whether the given value is a solution to the inequality.

x = ­2x = 1 x = ­4x = ­3x = 0

Dec 9­6:31 PM

≤≥Tell whether the given value is a solution to the inequality.

­5.5y < 14 y = ­2 y ­ 5     ­6≥ y = ­3

78

12 3k <            k =  14

Page 26: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

26

December 14, 2015

Nov 12­7:33 PM

Assignment:  

Complete the Exit Ticket independently.

BI 4.1 #5­25 odd 

a6 > ­4   a = ­18

Oct 14­12:56 PM

Solving Inequalities Using 

(+) (­) (x) (   )÷

Page 27: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

27

December 14, 2015

Dec 12­12:18 PM

You have to be at least 18 years old to work at Best Buy. 

What is would be the inequality to find least possible age you can be if in 4 years, you will be 18?

x ≥ 18x ≤ 18 x > 18x < 18

Dec 12­12:20 PM

Solve and graph the solutions. 

Page 28: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

28

December 14, 2015

Dec 12­12:39 PM

Dec 12­12:27 PM

Page 29: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

29

December 14, 2015

Dec 12­12:30 PM

Nov 12­7:33 PM

Assignment:  

Complete the Exit Ticket independently.

BI 4.2 #9­17 odd and BI 4.3 11­17 odd

Page 30: Lesson 1 Generating Equivalent Expressions€¦ ·  · 2015-12-15Lesson 1 Generating Equivalent Expressions. ... Complete the Exit Ticket independently. I will check and collect

Expressions.Equations per 2.notebook

30

December 14, 2015

Nov 12­7:33 PM

Mid Module 3 Test Review