Unit 6 –
Equations and Inequalities
MCC6.EE.5
MCC6.EE.6
MCC6.EE.7
MCC6.EE.8
MCC6.EE.9
MONDAY, FEBRUARY 2, 2015
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ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME
TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: COMPUTER LAB – UNIT 6 ODYSSEY
Homework: Volume 2 pgs.435 – 436 due FRIDAY
Bring Volume TWO book to class EVERY day!
Knight Time - Thursday, February 5, 2015
MONDAY’S WARM-UP
The expression 6h + 5 shows the cost of doggie
day care for h hours. What is the cost for 4
hours?
A.) 69
B.) 44
C.) 15
D.) 29
TUESDAY, FEBRUARY 3, 2015
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ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME
TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Equations (Volume 2 – pgs. 429 - 433)
Home work: Volume 2 pgs.435 – 436 due FRIDAY
Knight Time - Thursday, February 5, 2015
TUESDAY’S WARM-UP
IF n= 4, what is the value of 3n² ?
A.)
B.)
C.)
D.)
49
68
24
48
WEDNESDAY, FEBRUARY 4, 2015
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ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO
SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Solve and Write Addition Equations
(Volume 2 – pgs. 441 - 445)
Homework: Volume 2 pgs.435 – 436 due FRIDAY
Knight Time - TOMORROW
WEDNESDAY’S WARM-UP
36
What is the value of 3p + 15 when p = 4 ?
A.)
B.)
C.)
D.)
12
18
27
63
THURSDAY, FEBRUARY 5, 2015
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ASSIGNED SEAT.
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TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Knight Time
Homework: Volume 2 pgs.435 – 436 due TOMORROW
THURSDAY’S WARM-UP(CDA #5 Re-Teach)
Determine the value of the following expression.
3(3 + 5²) – 12 ÷ 4
FRIDAY, FEBRUARY 6, 2015
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ASSIGNED SEAT.
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TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Solve and Write Subtraction Equations
(Volume 2 – pgs. 451 – 455)
Homework: Finish pgs. 454 – 456 due Monday
FRIDAY’S WARM-UP
Solve for a: 8 + a = 17
A.)
B.)
C.)
D.)
a=9
a = 10
a = 24
a = 25
MONDAY, FEBRUARY 9, 2015
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ASSIGNED SEAT.
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TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: COMPUTER LAB – UNIT 6 ODYSSEY
Homework: TEST over Adding and Subtracting with
Equations Tomorrow
MONDAY’S WARM-UP
Solve for e: e – 8 = 4
A.)
B.)
C.)
D.)
e=2
e=4
e = 10
e = 12
TUESDAY, FEBRUARY 10, 2015
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ASSIGNED SEAT.
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TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Mid-Chapter TEST (Volume 2 – pg. 462)
Homework: ½ Day tomorrow
TUESDAY’S WARM-UP(CDA #5 Re-Teach)
Which of the following demonstrates the
associative property?
**Associative Property – The way in which numbers are grouped
does not change the sum or product**
4(x + 3) = 4x + 12
7x + 2 = 2 + 7x
(4x + 5) + 3 = 4x + (5 + 3)
7x(1) = 7x
WEDNESDAY, FEBRUARY 11, 2015
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ASSIGNED SEAT.
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TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: ½ Day
Homework: Have a wonderful, safe Winter break!
WEDNESDAY’S WARM-UP
Solve for a: a + 7 = 115
A.)
B.)
C.)
D.)
a = 107
a = 108
a = 109
a = 110
TUESDAY, FEBRUARY 17, 2015
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ASSIGNED SEAT.
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TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Homework: pgs. 473 – 474 due Friday
WEDNESDAY, FEBRUARY 18, 2015
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ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME
TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Solve and Write Multiplication Equations
(Volume 2 – pgs. 468 – 471) / NEW VOCAB
Homework: Homework pgs. 473 – 474 due Friday
TEST over equations FRIDAY.
WEDNESDAY’S WARM-UP(CDA #5 Re-Teach)
There is a $7 entrance fee to the fair plus $1.50
per ride. The cost for any number (n) of rides
could be found by using the expressions
$7 + $1.50n.
What is the total cost to ride 12 rides?
WEDNESDAY’S WARM-UP
1.) Evaluate 4 + 3b if b = 8.
4
A7
B 14
C 25
D 48
Vocabulary – Unit 6 Equations(Set 1)
Equation – a mathematical sentence showing two
expressions are equal.
Equal Sign – A symbol of equality.
Solve – To replace a variable with a value that
results in a true sentence.
Solution – The value of a variable that makes an
equation true.
Inverse Operations – Operations which undo each
other. (Opposites)
THURSDAY, FEBRUARY 19, 2015
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ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME
TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Solve and Write Division Equations
(Volume 2 – pgs. 477 - 481
Homework: Homework pgs. 473 – 474 due TOMORROW
TEST over equations tomorrow.
THURSDAY’S WARM-UP(CDA #5 Re-Teach)
64 is equal to 4 to the
power of ______ .
FRIDAY, FEBRUARY 20, 2015
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ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME
TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Equations TEST
Function Tables - Volume 2 (pgs. 495 – 497)
Homework: Vocabulary Quiz Tuesday
FRIDAY’S WARM-UP(CDA #5 Re-Teach)
Simplify 3x – x + 2
Equations Quiz
1.)
2.)
3.)
4.)
5.)
6.)
7.)
x – 50 = 127
t + 8 = 17
122 + y = 200
a – 12 = 62
p + 24 = 75
5x = 135
7r = 105
8.) x = 9
4
9.) d = 15
2
10.) t = 21
3
MONDAY, February 23, 2015
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ASSIGNED SEAT.
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TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Computer Lab – Unit 6
Homework: Vocab Quiz tomorrow
Volume 2 (pgs. 509 – 510) due Friday
MONDAY’S WARM-UP(CDA #5 Re-Teach)
Which of the choices below demonstrates the
commutative property of addition for the
algebraic expression: 5x + 10y
**Commutative Property - The order in which numbers
are grouped does not change the sume or product**
TUESDAY, February 24, 2015
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ASSIGNED SEAT.
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TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Function Tables - Volume 2 (pgs. 497 –
499, 501) / Vocabulary Quiz
Homework: Volume 2 (pgs. 509 – 510) due Friday
TUESDAY’S WARM-UP
Find the error in the solution below and fix it.
Solve for y : y ÷ 8 = 16
÷8=÷8
y = 2
Vocabulary QUIZ - Equations(Set 1)
1.) The value of a variable that
makes an equation true.
2.) Operations which undo each
Word Bank other. (Opposites)
Equal Sign
3.) A mathematical sentence
Equation
showing two expressions are
Solution
equal.
Inverse Operations
4.) To replace a variable with a
Solve
value that results in a true
sentence.
5.) A symbol of equality.
Vocabulary Words – Functions/ Inequalities (Set 1)
Function – A relationship that assigns exactly one output value to
one input value.
Function Rule – An expression that describes the relationship
between each input and output.
Function Table – A table organizing the input, rule, and output of a
function.
Independent Variable – The variable in a function with a value that
is subject to choice.
Dependent Variable – The variable in a relation with a value that
depends on the value of the independent variable.
Sequence – A list of numbers in a specific order.
Arithmetic Sequences – A sequence in which the difference between
any two consecutive terms is the same.
Geometric Sequence – A sequence in which each term is found by
multiplying the previous term by the same number.
Linear Function – A function that forms a line when graphed.
Inequality – A mathematical sentence indicating that two quantities
are not equal.
WEDNESDAY, February 25, 2014
-COME IN QUIETLY AND SIT IN YOUR
ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME
TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Function Rules (Vol.2 pgs. 503 –
507)/Vocab Quiz / New Vocab
Homework: Volume 2 (pgs. 509 – 510) due Friday
WEDNESDAY’S WARM-UP(CDA #5 Re-Teach)
A = 6s² is the formula for the surface area of a
cube. Find the surface area of this cube.
THURSDAY, February 26, 2015
-COME IN QUIETLY AND SIT IN YOUR
ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME
TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Functions and Equations
(Vol. 2 pgs. 511 – 515)
Homework: Volume 2 (pgs. 509 – 510) due Tomorrow
THURSDAY’S WARM-UP
What is the value of 2q³ if q = 2?
Choose the correct answer below and
then explain why you chose that answer.
A.) 12
B.) 16
FRIDAY, February 27, 2015
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ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME TO
SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Multiple Representations of Functions (Vol. 2
pgs. 519 – 523)
Homework: Mid-Chapter Check – Open Book Take home Quiz
due Monday (Volume 2 – pg.530)
Vocab Quiz Tuesday / CDA NEXT FRIDAY
FRIDAY’S WARM-UP
Out of the 4 statements below, find the
one that is false and correct it.
1.) When solving equations, you must do the inverse
operation.
2.) An equation always has an equal sign.
3.) An equation and an expression are the same
thing.
4.) Equations are two expressions that are equal to
each other.
FRIDAY’S WARM-UP
Solve a - 12 = 36
A 48
B 34
C 24
D3
MONDAY, MARCH 2, 2015
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ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME
TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Inequalities (Vol.2 pgs. 533 – 537)
Homework: Vocabulary Quiz tomorrow – CDA Friday
MONDAY’S WARM-UPS(CDA #5 Re-Teach)
3(x + 6) is equivalent to which of the
following algebraic expressions?
TUESDAY, MARCH 3, 2015
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ASSIGNED SEAT.
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TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Vocab Quiz / Write and Graph Inequalities
(Vol.2 pgs. 541 – 546)
Homework: CDA FRIDAY
TUESDAY’S WARM-UPS(CDA #5 Re-Teach)
Vocabulary QUIZ – Functions/ Inequalities
Function – A relationship that assigns exactly one output value to
one input value.
Function Rule – An expression that describes the relationship
between each input and output.
Function Table – A table organizing the input, rule, and output of a
function.
Independent Variable – The variable in a function with a value that
is subject to choice.
Dependent Variable – The variable in a relation with a value that
depends on the value of the independent variable.
Sequence – A list of numbers in a specific order.
Arithmetic Sequences – A sequence in which the difference between
any two consecutive terms is the same.
Geometric Sequence – A sequence in which each term is found my
multiplying the previous term by the same number.
Linear Function – A function that forms a line when graphed.
Inequality – A mathematical sentence indicating that two quantities
are not equal.
WENDESDAY, March 4, 2015
-COME IN QUIETLY AND SIT IN YOUR
ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR
ME TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Solve One Step Inequalities
(Vol. 2 pgs. 551 – 557)
Homework: CDA Friday
WEDNESDAY’S WARM-UPS
1.) Evaluate 8b – 2b + 4 if b = 3.
A 11
B 14
C 19
D 22
THURSDAY, March 5, 2015
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ASSIGNED SEAT.
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ME TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: CDA REVIEW
Homework: CDA TOMORROW
THURSDAY’S WARM-UPS(CDA #5 Re-Teach)
FRIDAY, March 6, 2015
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ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR
ME TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: CDA #6 Equations and Inequalities.
Homework:
THURSDAY’S WARM-UPS(CDA #5 Re-Teach)
THURSDAY, JANUARY 17, 2013
-COME IN QUIETLY AND SIT IN YOUR
ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR
ME TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: CDA # 4
Homework: CRCT Algebra Practice due Tomorrow
Ch.9 Post Test Tuesday
THURSDAY’S WARM-UPS
WEDNESDAY, FEBRUARY 18, 2015
-COME IN QUIETLY AND SIT IN YOUR
ASSIGNED SEAT.
-FILL OUT YOUR AGENDA AND HAVE IT OUT FOR ME
TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Solve and Write Division Equations (Volume 2 –
pgs. 477 - 481
Homework: Homework pgs. 473 – 474 due Friday
TEST over equations tomorrow.
WEDNESDAY’S WARM-UP
Solve for c: 5c = 35
A.)
B.)
C.)
D.)
c=6
c=7
c=8
c = 175
TUESDAY’S WARM-UP
Solve for n: n ÷ 6 = 3
A.)
B.)
C.)
D.)
n=2
n=3
n=9
n = 18
10.3 – Independent and Dependent Variables
An equation with two variables is called a linear equation.
Example: y = 2x +3
The independent variable is the x variable in an equation.
It is not dependent on any other variable for its value. The
dependent variable is the y variable in an equation. The y
variable is dependent upon what the x variable is.
Independent & Dependent Variables can be set up in a
table to find the values of each variable. y = 2x + 3
X
Y
THURSDAY’S WARM-UP
Solve for b: b – 8 = 6
A.) b = 1
B.) b = 2
C.) b = 13
D.) b = 14
10.3 – Independent and Dependent Variables
Example 7: Mr. Sloan travels in the city at an average
rate of speed of 42 miles per hour. Set up a table to
show how long will it take him to go anywhere.
Step 1: Set up an equation d = 42t (t is time, d is miles)
Step 2: Set up the table with different values for t and d.
d = 42t
t
d
10.3 – Independent and Dependent Variables
Y= x
10
x 22
X
Y
200
440
220
240
260
10.3 – Independent and Dependent Variables
Y = x
3
x 5
X
Y
9
15
12
15
18
Solving Inequalities by Addition and
Subtraction(9.8) pg. 120
Solving inequalities is similar to solving equations.
Example 11: Solve and graph the solution set for x – 2 ≤ 5
Step 1: Add 2 to both sides of the inequality so the variable
will be by itself.
x–2 ≤ 5
Step 2: Graph the solution set for the inequality.
Graphing Inequalities (9.7) pg. 119
9.4 Combining Like Terms pg. 114
• Algebra problems separate terms with + and –
signs. The expression 5x – 4 – 3x + 7 has 4 terms:
5x, 4, 3x, and 7. Terms having the same variable
can be combined (added or subtracted) to simplify
the expression.
Simplify
5x – 4 – 3x + 7
Solving Inequalities by Multiplication and
Division (9.9) pg. 121
Solving inequalities is similar to solving equations.
Example 12: Solve and graph the solution set for 4x ≤ 20
Step 1: Divide both sides of the inequality by 4.
4x ≤ 20
Step 2: Graph the solution
Solving an Equation…
A way to solve equations is to use the inverse(opposite)
operation, which undo each other.
Addition Equation: To solve use SUBTRACTION
8=x+3
Subtraction Equation: To solve use ADDITION
X–2=3
Multiplication Equation: To solve use DIVISION
2x = 10
Division Equation: To solve use MULTIPLICATION
4=r
8
Equations with Adding/Subtracting (9.1 pg. 110-111)
Example 1: 4 = x – 1
Example 2: x + 78 = 114
Example 3: k – 34 = 100
When solving equations – ALWAYS check your work!
9.6 Solving Algebra Word Problems pg. 116
The key is to READ CAREFULLY! Use the information
given to solve what the question is asking.
• Example 9: Mrs. Hill bought 3 pounds of apples.
The price is $2.49 per pound. How much did Mrs.
Hill pay for the 3 pounds of apples?
Step 1: Get the facts together:
Graphing Inequalities (9.7) pg. 118-119
An inequality is a sentence that contains a < , > , ≤ ,
or ≥ sign. Look at the following graphs of
inequalities on a number line. Graphing inequality
shows all the numbers that make the inequality
true.
X > 2 is read “x is greater than 2” since it is > and not ≥.
X ≤ 3 is read “x is less then or equal to 3” since the
inequality is ≤. The endpoint is filled in. The graph uses a
closed circle because the number 3 is included in the graph.
Graphing Inequalities (9.7) pg. 118-119
There can be more than one inequality sign. These are
called compound inequalities. For example:
1 < x < 4 is read “1 is less than x and x is less than 4.”
G>L
1
4
X < 1 or x ≥ 4 is read “x is less than 1 or x is greater than or
equal to 4.”
0
1
4
Graphing Inequalities (9.7) pg. 119
Solving an Equation…
A way to solve equations is to use the inverse(opposite)
operation, which undo each other.
Addition Equation: To solve use SUBTRACTION
8=x+3
Subtraction Equation: To solve use ADDITION
X–2=3
Multiplication Equation: To solve use DIVISION
2x = 10
Division Equation: To solve use MULTIPLICATION
4=r
8
Equations with Multiplying/Dividing (9.2 pg. 112)
Example 4: 3x = 24
Example 5: k = 10
8
When solving equations – ALWAYS check your work!
FRIDAY, JANUARY 18, 2013
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ASSIGNED SEAT.
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ME TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Finish Unit 4 CDA
Homework: Review for Chapter 9 Post Test Tuesday
NO SCHOOL MONDAY
FRIDAY’S WARM-UPS
1.) What is the GCF of 50 and 125?
A 50
B 25
C 15
D5
TUESDAY, JANUARY 22, 2013
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ASSIGNED SEAT.
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ME TO SIGN.
-COMPLETE THE FOLLOWING WARM-UP:
Classwork: Ch.9 Post Test / Ch. 11 Pre-test
Homework: pg. 140-141 Basic Geometry Shapes
TUESDAY’S WARM-UPS
1.) Which decimal is equivalent to 13 ?
20
A 0.13
B 0.58
C 0.65
D 0.72