Expressions.Equations per 2.notebook
December 14, 2015
Module 3
Expressions
and Equations
Oct 13­5:31 PM
Lesson 1 Generating Equivalent Expressions
Sep 7­12:22 PM
1
Expressions.Equations per 2.notebook
December 14, 2015
Order of Operations
Nov 15­5:59 PM
6x
3x
8y
2y
4
2
x
+
­ ÷
6x + 4 + 3x
expression in expanded form
expression in standard form
expression or numerical expression
variable
coefficient
terms
value
Sep 18­8:29 AM
2
Expressions.Equations per 2.notebook
December 14, 2015
variable
coefficient
terms
value
expression or numerical expression
expression in expanded form
expression in standard form
Nov 15­7:51 PM
Write equivalent expressions for the following: Find the sum of ­3y + 2 and 5y ­ 3.
Find the sum of 2x + 1 and 5y.
Find the product of 2x and 3. 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
Nov 15­7:52 PM
3
Expressions.Equations per 2.notebook
December 14, 2015
Complete Example 3 on S3 in groups on the big white boards.
We will complete (a) together.
Verify that the two expressions are equivalent using the given values
your groups chooses for the variables. Nov 15­7:58 PM
Nov 17­10:09 AM
4
Expressions.Equations per 2.notebook
December 14, 2015
Complete the Exit Ticket independently. I will
check and collect them as you finish. Assignment: ENY 3.1 PS #1­18 Nov 12­7:33 PM
Lesson 2
More Equivalent Expressions
Oct 14­12:56 PM
5
Expressions.Equations per 2.notebook
December 14, 2015
What is an additive inverse? What is a multiplicative inverse? expression
additive inverse multiplicative & proof
inverse & proof
1
3x
Nov 16­5:36 PM
Take out all the student pages for lesson 2.
Nov 16­5:36 PM
6
Expressions.Equations per 2.notebook
December 14, 2015
Complete the Exit Ticket independently and raise your hand when you've completed it.
Assignment: ENY 3.2 PS #1­7
Nov 12­7:33 PM
Lesson 3­4
Writing Products as Sums
and
Sums as Products
Oct 14­12:56 PM
7
Expressions.Equations per 2.notebook
December 14, 2015
Write the expressions in standard form. ÷
(6x + 15) 3
3(x + 2y + 5z)
5(7r ­ 5s) + 5(3r ­ 4s)
Nov 18­10:16 PM
Write the expressions in standard form. ÷
(6x + 15) 3
3(x + 2y + 5z)
5(7r ­ 5s) + 5(3r ­ 4s)
Nov 18­10:16 PM
8
Expressions.Equations per 2.notebook
December 14, 2015
Write the sum as a product of two factors. 48j + 60k + 24
Write the expressions in standard form. 5a ­ (a ­ 3b)
Nov 18­10:16 PM
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 Nov 19­8:26 AM
9
Expressions.Equations per 2.notebook
December 14, 2015
Complete the Lesson 4 Exit Ticket independently.
Assignment: ENY 3.3 PS #4­5 ENY 3.4 PS #1,2,5,6,7
Nov 12­7:33 PM
Lesson 4
Standard Form to Expanded Form
Oct 14­12:56 PM
10
Expressions.Equations per 2.notebook
December 14, 2015
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 28­8:51 AM
Nov 30­10:01 AM
11
Expressions.Equations per 2.notebook
December 14, 2015
Write the sum as a product of two factors. 36r + 9s + 24
Write the expressions in standard form. 6x ­ (x ­ 4y)
Nov 18­10:16 PM
Take out S20 and S21
Nov 28­8:56 AM
12
Expressions.Equations per 2.notebook
December 14, 2015
Complete the Lesson 4 Exit Ticket independently.
Assignment: ENY 3.4 PS #1,2, 4, 5,6,7 and the Sprint Round 2 from Lesson 2 Nov 12­7:33 PM
Complete the problems on S15, S21, and S20 in your group on the BIG WHITE BOARD. P
I
K
1. Write the standard form of each expression on your own FIRST S
2. Compare that expression with your group members Nov 19­8:26 AM
13
Expressions.Equations per 2.notebook
December 14, 2015
Lesson 6
Rational Numbers in Algebraic Expressions
Oct 14­12:56 PM
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 kg
2. 11/30
3. ­3 4/5
ANSWERS
4. 2 2/5
5. 1 3/5 (1 ­ 3/4) or ­1 23
25
11
6. 2 (n)
36
1.
Nov 28­9:07 AM
14
Expressions.Equations per 2.notebook
December 14, 2015
Dec 1­10:22 AM
Rewrite the Expression in Standard Form. Where should we start?
Nov 28­9:17 AM
15
Expressions.Equations per 2.notebook
December 14, 2015
Rewrite the Expression in Standard Form. Where should we start?
Nov 28­9:28 AM
Complete the Exit Ticket independently and raise your hand when you've completed it.
Assignment: ENY 3.6 PS #2(a­c), 3( choose 10)
1 ( challenge problems)
Nov 12­7:33 PM
16
Expressions.Equations per 2.notebook
December 14, 2015
Lesson 7
Understanding
Equations
Oct 14­12:56 PM
Dec 4­10:15 AM
17
Expressions.Equations per 2.notebook
December 14, 2015
Check whether the given value is a solution to the equation. 3x + 8 = 14
x = 14
3x + 8 = 14
x = 21
3x + 8 = 14
3x + 8 = 14
Take out all the pages for Lesson 7
Nov 28­9:55 AM
S39: Example 1
The 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.
Nov 28­9:57 AM
18
Expressions.Equations per 2.notebook
December 14, 2015
Complete the Exit Ticket with a partner or small group. Assignment: ENY 3.7 PS #1­4
Nov 12­7:33 PM
Nov 12­7:33 PM
19
Expressions.Equations per 2.notebook
December 14, 2015
Solving Algebraic Equations
Dec 8­7:50 AM
What does "Solving Algebraic Equations" mean to you?
­ 4(m + 3) = 24
Dec 8­7:50 AM
20
Expressions.Equations per 2.notebook
December 14, 2015
Dec 8­7:50 AM
Dec 8­7:56 AM
21
Expressions.Equations per 2.notebook
December 14, 2015
Dec 8­10:40 AM
Writing and Graphing Inequalities
Big Ideas Online Textbook
Mrs. Tang's Website
Oct 14­12:56 PM
22
Expressions.Equations per 2.notebook
December 14, 2015
What do these symbols represent? =
>
:is more than
<
:is fewer than
:is at least
:is no less than
≥
≤
:is no more than
:is at most
Dec 9­6:31 PM
­10
­9
­8
­7
­6
­5 ­4
­3
­2
­1
1
0
2
3
4
5
6
7
8
9
10
2
3
4
5
6
7
8
9
10
x < ­1
­10
­9
­8
­7
­6
­5 ­4
­3
­2
­1
1
0
5
x > 2
­10
­9
­8
­7
­6
­5 ­4
­3
­2
­1
0
1
2
3
4
5
6
7
8
9
10
x > 7.3
Dec 9­6:25 PM
23
Expressions.Equations per 2.notebook
December 14, 2015
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.
5
Twice a number y is more than ­ . 3
Dec 9­6:35 PM
Writing an inequality from a mathematical statement.
A number q plus 5 is greater than or equal to ­7.9. q + 5 ­7.9
≥
x ­10
≤
A number x is at most ­10.
5
Twice a number y is more than ­ . 2y > ­ 5
3
3
x ­10
≤
Dec 9­6:35 PM
24
Expressions.Equations per 2.notebook
December 14, 2015
Tell whether the given value is a solution to the inequality.
=
>
x + 2 ­1 ≤
x = 0
x = 1
x = ­2
x = ­3
x = ­4
<
≥
≤
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
7
8
1
1
3k < k = 2
4
Dec 9­6:31 PM
25
Expressions.Equations per 2.notebook
December 14, 2015
Complete the Exit Ticket independently.
a
> ­4 a = ­18
6
Assignment: BI 4.1 #5­25 odd Nov 12­7:33 PM
Solving Inequalities Using ÷
(+) (­) (x) ( )
Oct 14­12:56 PM
26
Expressions.Equations per 2.notebook
December 14, 2015
You have to be at least 18 years old to work at Best Buy. x ≤ 18
x < 18
x ≥ 18
x > 18
What is would be the inequality to find least possible age you can be if in 4 years, you will be 18?
Dec 12­12:18 PM
Solve and graph the solutions. Dec 12­12:20 PM
27
Expressions.Equations per 2.notebook
December 14, 2015
Dec 12­12:39 PM
Dec 12­12:27 PM
28
Expressions.Equations per 2.notebook
December 14, 2015
Dec 12­12:30 PM
Complete the Exit Ticket independently.
Assignment: BI 4.2 #9­17 odd and BI 4.3 11­17 odd
Nov 12­7:33 PM
29
Expressions.Equations per 2.notebook
December 14, 2015
Mid Module 3 Test Review
Nov 12­7:33 PM
30