Tuesday, Oct 30
5 Minute CheckComplete on the back of your homework. If you do
not have homework, complete on a blank sheet of paper.What is the
value?
1. 2.5 =
2. ( ) =
3. 0.06 =
4. 3 =
5 Minute CheckComplete on the back of your homework. If you do
not have homework, complete on a blank sheet of paper.What is the
value?
1. 2.5 =
5 Minute CheckComplete on the back of your homework. If you do
not have homework, complete on a blank sheet of paper.What is the
value?
1. 2.5 = 2.5 6.25 x 2.5 x2.5 12 5 3125 500 12500 6.25 15.625
5 Minute CheckComplete on the back of your homework. If you do
not have homework, complete on a blank sheet of paper.What is the
value?
2. ( ) =
5 Minute CheckComplete on the back of your homework. If you do
not have homework, complete on a blank sheet of paper.What is the
value?
2. ( ) = =
5 Minute CheckComplete on the back of your homework. If you do
not have homework, complete on a blank sheet of paper.What is the
value?
3. 0.06 =
5 Minute CheckComplete on the back of your homework. If you do
not have homework, complete on a blank sheet of paper.What is the
value?
3. 0.06 = .0036
.06 x.06 036 0000 .0036
5 Minute CheckComplete on the back of your homework. If you do
not have homework, complete on a blank sheet of paper.What is the
value?
4. 3 =
5 Minute CheckComplete on the back of your homework. If you do
not have homework, complete on a blank sheet of paper.What is the
value?
4. 3 = 3 3 3 3 3 = 243
Friday, Oct 31Lesson 6.6.2/6.6.3
Numerical Expressions &Algebra: Variables and
Expressions
Numerical ExpressionsObjective: To find the value of expressions
using the order of operations.
Numerical ExpressionsA numerical expression is a combination of
numbers and operations.
For example,3 x 2 + 4 x 4
Numerical ExpressionsThe order of operations dictates which
operation is to be done first.
What does PEMDAS mean?(Please Excuse My Dear Aunt Sally)
Numerical ExpressionsP - Parentheses E - ExponentsM - MultiplyD
- DivideA - AddS - Subtract
Numerical ExpressionsFind the value of 10 - 2 + 8
What do we do first?
Numerical ExpressionsFind the value of 10 - 2 + 8
Step 1 perform all operations inside parenthesis and rewrite the
expression.
Since we do not have parenthesis, we go to the next step.
Numerical ExpressionsFind the value of 10 - 2 + 8
Step 2 Solve all exponents and rewrite the expression.
Since we do not have exponents, we go to the next step.
Numerical ExpressionsFind the value of 10 - 2 + 8
Step 3 Perform all multiplication and division from left to
right and rewrite the expression.
Since we do not have multiplication or division, we go to the
next step.
Numerical ExpressionsFind the value of 10 - 2 + 8
Step 4 Perform all addition and subtraction from left to right
and rewrite the expression.
Which operation do we do first?
Numerical ExpressionsFind the value of 10 - 2 + 8 8 + 8 16
Numerical ExpressionsFind the value of 4 + 3 5
Do this on your own. Numerical ExpressionsFind the value of 4 +
3 5 4 + 15 Step 3 19 Step 4
All of this inside the triangle must be shown to get full credit
on assignment.
Numerical ExpressionsFind the value of 16 2 4
Do this on your own. Numerical ExpressionsFind the value of 16 2
4 8 4 Step 3 32Step 3
Numerical ExpressionsFind the value of 20 4 + 17 (9 6)
Do this on your own. Numerical ExpressionsFind the value of 20 4
+ 17 (9 6) 20 4 + 17 3 Step 1 5 + 51Step 3 56 Step 4
All of this inside the triangle must be shown to get full credit
on assignment.
Numerical ExpressionsFind the value of 5 + (8 - 2) 2
Do this on your own. Numerical ExpressionsFind the value of 5 +
(8 - 2) 2 5 + 62 2 Step 1 5 + 124 Step 3 129 Step 4
All of this inside the triangle must be shown to get full credit
on assignment.
Numerical ExpressionsWrite an expression for total cost of 5
lotions, 2 candles, and 4 lip balms. Find the total cost.
Do this on your own.
Numerical ExpressionsWrite an expression for total cost of 5
lotions, 2 candles, and 4 lip balms. Find the total cost.
5 $5 + 2 $7 + 4 $2 = $25 + $14 + $8 = $47
Numerical ExpressionsTickets to a play cost $10 for members and
$24 for non-members. Write an expression to find the total cost of
4 non-member tickets and 2 member tickets. Find the total cost.
Do this on your own. Numerical ExpressionsTickets to a play cost
$10 for members and $24 for non-members. Write an expression to
find the total cost of 4 non-member tickets and 2 member tickets.
Find the total cost.
2 $10 + 4 $24 = $20 + $96 = $116Numerical Expressions
Luis is finding 9 2 + 2. Find his mistake and correct it.
Numerical Expressions
Luis is finding 9 2 + 2. Find his mistake and correct it.
He did not add/subtract fromleft to right.9 2 + 2 = 9 Numerical
Expressions
Use the expression 34 12 2 + 7. Place parenthesis in the
expression so the value of the expression is 18.
Numerical Expressions
Use the expression 34 12 2 + 7. Place parenthesis in the
expression so the value of the expression is 18.
(34 12) 2 + 7 = 18Numerical ExpressionsHow are grouping symbols
helpful in simplifying expressions?
Numerical ExpressionsHow are grouping symbols helpful in
simplifying expressions?
Algebra: Variables and ExpressionsAlgebra is a language of
symbols including variables.
Algebra: Variables and ExpressionsAlgebra is a language of
symbols including variables.
A variable is a symbol, usually a letter, that represents a
number.
Algebra: Variables and ExpressionsAlgebra is a language of
symbols including variables.
A variable is a symbol, usually a letter, that represents a
number.
Algebraic expressions contain at least one variable and at least
one operation. e.g. n + 2
Algebra: Variables and Expressions
Algebra: Variables and ExpressionsEvaluate 16 + b, if b = 25
To solve an algebraic expression, rewrite the expression without
the variables and use the order of operations to simplify.
Algebra: Variables and ExpressionsEvaluate 16 + b, if b = 25 16
+ 25Expression without variables 41 Step 4
Algebra: Variables and ExpressionsEvaluate x - y, if x = 64 and
y = 27
First?
Algebra: Variables and ExpressionsEvaluate x - y, if x = 64 and
y = 27 64 27 Expression without variables
Algebra: Variables and ExpressionsEvaluate x - y, if x = 64 and
y = 27 64 27 Expression without variables 37 Step 4
All of this inside the triangle must be shown to get full credit
on assignment. Algebra: Variables and ExpressionsEvaluate x y, if x
= 6 and y = 7 Do this on your own.
Algebra: Variables and ExpressionsEvaluate x y, if x = 6 and y =
7 6 7 42
Algebra: Variables and Expressions 1Evaluate 6x , if x = 2
Do this on your own.
Remember, if there is no operation written it is assumed to be
multiplication.
Algebra: Variables and Expressions 1Evaluate 6x , if x = 2
1 6 2
6 2 3
Algebra: Variables and Expressions Evaluate 6t + 4, if t = 3
Do this on your own. Algebra: Variables and Expressions Evaluate
6t + 4, if t = 3 6 3 + 4 Expression without variables 18 + 4Step 3
22 Step 4
All of this inside the triangle must be shown to get full credit
on assignment. Algebra: Variables and Expressions Evaluate 6c, if c
= 3
Do this on your own. Algebra: Variables and Expressions Evaluate
6c, if c = 3
6 3
6 9
54
Algebra: Variables and Expressions 1Evaluate 4x, if x= 8
Do this on your own. Algebra: Variables and Expressions
1Evaluate 4x, if x= 8
1 4 (8)
4 1 1 64
4 64
1 16 Algebra: Variables and Expressions 1Evaluate 10a + 7, if a
= 5
Do this on your own. Algebra: Variables and Expressions
1Evaluate 10a + 7, if a = 5
1 10 5 + 7
10 5 + 7
2 + 7
9
Algebra: Variables and Expressions 1Evaluate 9e, if e= 3
Do this on your own. Algebra: Variables and Expressions
1Evaluate 9e, if e= 3
1 9 (3)
9 1 1 9
9 9
1
Algebra: Variables and ExpressionsThe amount of money that
remains from a 20 dollar bill after Malina buys 4 party favors for
p dollars each is 20 4p. Find the amount remaining if each favor is
$3 each.
Do this on your own.
Algebra: Variables and ExpressionsThe amount of money that
remains from a 20 dollar bill after Malina buys 4 party favors for
p dollars each is 20 4p. Find the amount remaining if each favor is
$3 each. $20 4p, if p = $3 $20 4 $3 $20 - $12 $8
Algebra: Variables and ExpressionsThe volume of a cube can be
represented by s, where s is the length of a side. If the length of
a side of a cube is meter, what is the volume?
Do this on your own.
Algebra: Variables and ExpressionsThe volume of a cube can be
represented by s, where s is the length of a side. If the length of
a side of a cube is meter, what is the volume? 1 ( 2 )
1 1 1 12 2 2 = 8 m
Algebra: Variables and ExpressionsThe volume of a cube can be
represented by Nate and Lauren each have a calculator. Lauren
starts at 100 and repeatedly subtracts 7. Nate starts at 0 and
repeatedly adds 3. If they perform each operation at the same time,
will they ever land on the same number?
Algebra: Variables and ExpressionsThe volume of a cube can be
represented by Nate and Lauren each have a calculator. Lauren
starts at 100 and repeatedly subtracts 7. Nate starts at 0 and
repeatedly adds 3. If they perform each operation at the same time,
will they ever land on the same number? Yes, 30
Have fun and be careful tonight!
Algebra: Variables and ExpressionsAgenda Notes
Homework Homework Practice 6.6.2/6.6.3Due at the end of
class
Mid-Chapter 6.6 Quiz -Tuesday, Nov 4Algebra: Variables and
Expressions5. 9 + 7 x (15 + 3) 3Algebra: Variables and
Expressions5. 9 + 7 x (15 + 3) 3 9 + 7 x 18 3Algebra: Variables and
Expressions5. 9 + 7 x (15 + 3) 3 9 + 7 x 18 3 9 + 7 x 18 9Algebra:
Variables and Expressions5. 9 + 7 x (15 + 3) 3 9 + 7 x 18 3 9 + 7 x
18 9 9 + 126 9Algebra: Variables and Expressions5. 9 + 7 x (15 + 3)
3 9 + 7 x 18 3 9 + 7 x 18 9 9 + 126 9 9 + 14Algebra: Variables and
Expressions5. 9 + 7 x (15 + 3) 3 9 + 7 x 18 3 9 + 7 x 18 9 9 + 126
9 9 + 14 25Algebra: Variables and Expressions21. ac (2b) Algebra:
Variables and Expressions21. ac (2b) 1 9 3 (2 3) Algebra: Variables
and Expressions21. ac (2b) 1 9 3 (2 3) 1 9 3 6
Algebra: Variables and Expressions21. ac (2b) 1 9 3 (2 3) 1 9 3
6
3 6 Algebra: Variables and Expressions21. ac (2b) 1 9 3 (2 3) 1
9 3 6
3 6 1 2
