Download 1.1 evaluating expressions ink.notebook

1.1 evaluating expressions ink.notebook
page 8
Unit 1 Basic
Equations and
Inequalities
1.1 Order of
Operations
August 17, 2016
page 9
Square
Cube
Variable
Variable
Expression
Exponent
page 10
page 11
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1.1 evaluating expressions ink.notebook
August 17, 2016
Standards
Standards
Lesson Objectives
A.SSE.3 F.IF.2 Lesson Notes
I will evaluate expressions using correct order of operations. I will evaluate expressions. 1.1 Order of Operations
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Lesson Objectives
Standards
Lesson Notes
A.SSE.1 Interpret expressions that represent a quantity in terms of its context.
a. Interpret parts of an expression, such as terms, factors, and coefficients.
A.SSE.2 Use the structure of an expression to identify the ways to rewrite it. F.IF.2. Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Characteristics:
My Definition:
need to know what it letter or symbol used represents to solve
to represent a for instance: x = 2
number
Example:
x, y, n
Variable
Counterexample:
numbers
for example: 4, 0, 2
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1.1 evaluating expressions ink.notebook
Characteristics:
My Definition:
NO equal sign
an expression that Not all numbers includes a variable
(which is an algebraic expression
Variable Counterexample:
Example:
Expression
2x + 3
x + 2 = 4
6x
Characteristics:
Example:
Can use x2 button on calculator
(5th one down on the left side)
Square
Counterexample:
x2, 42, (­3)2
Must use ()
a number or variable that indicates repeated multiplication
it is little and raised
^
Exponent
Example:
is the power key on the calculator
(above the )
Counterexample:
4(3)
43
6
A number or variable
raised to the 3rd
power
use
Characteristics:
on calculator
sign)
(above
3 enter
4
for 43
Cube
Example:
63
3x
x
4
5
My Definition:
43
43, ­(5)4, (­3)x
Characteristics:
My Definition:
4 + 3
My Definition:
a number or variable raised to the 2nd power
August 17, 2016
x3
(-2)3
Counterexample:
32
24
x5
3
1.1 evaluating expressions ink.notebook
August 17, 2016
1) Parenthesis
(grouping symbols)
( ) [ ]
a)
2) Exponents
(little raised numbers)
3) Multiply and Divide
b) 52 + 3(4) – 8
Whichever one comes first in the
problem working LEFT to RIGHT
4) Add and Subtract
Whichever one comes first in the
problem working LEFT to RIGHT
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1.1 evaluating expressions ink.notebook
August 17, 2016
Evaluate each expression.
1.
2.
Evaluate each expression.
3.
Note:
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1.1 evaluating expressions ink.notebook
August 17, 2016
Evaluate each variable expression when c = 4, and d = ­2. (Substitute each number in for the
correct variable and then solve.)
4. c2 + 3d ­ 2cd
5. (9 ­ c)3 ­ d
Evaluate each variable expression when c = 4, and d = ­2. (Substitute each number in for the
correct variable and then solve.)
6.
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1.1 evaluating expressions ink.notebook
August 17, 2016
7. Given y = 3x – 8, what is the value when x = –2.
8. Given y = x2 + 6, what is the value when x = –3.
Note:
On Your
Whiteboards
a)
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1.1 evaluating expressions ink.notebook
Evaluate the variable expression when a = 2, b = 7, and c = 6. August 17, 2016
c)
Circle Billy‛s mistake and then redo the work to find the correct answer.
Corrections
= 5 ¥ 6 – 32 ÷ 3
b)
=5¥6+9÷3
= 5 ¥ 15 ÷ 3
= 75 ÷ 3
= 25
On the
Worksheet
Homework
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1.1 evaluating expressions ink.notebook
August 17, 2016
Solve using the order of operations. Round to the nearest hundredth if necessary.
1.
Solve using the order of operations. Round to the nearest hundredth if necessary.
2.
4
0.5
22
Evaluate each variable expression when c = 4, and d = ­2. Solve using the order of operations. Round to the nearest hundredth if necessary.
4. c2 + 3d ­ 2cd
3.
4.91
26
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1.1 evaluating expressions ink.notebook
August 17, 2016
Evaluate each variable expression when c = 4, and d = ­2. Evaluate each variable expression when c = 4, and d = ­2. 5. (9 ­ c)3 ­ d
6. 3125
4.8
7. Given y = 3x – 8, what is the value when x = –2.
8. Given y = x2 + 6, what is the value when x = –3.
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1.1 evaluating expressions ink.notebook
August 17, 2016
Solve using the order of operations.
1.
Homework
4.2
38
0.45
4.
3.
2.
6.
5.
1
2
2
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1.1 evaluating expressions ink.notebook
7. ­2 • 42 ­ 1 28. August 17, 2016
29. 12 + 82 ÷ 4
8.
­
9.
26
28
33
Evaluate each variable expression when a = 2, b = 7, and c = 6. Evaluate each variable expression when a = 2, b = 7, and c = 6. 11. 6c ­ b
10. a2 + b2
16. (b + a)(b ­ a) + a2
15. b2 + c2 ­ 2bc
14.
53
29
13.
12.
1.83
4.38
1
49
3.5
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1.1 evaluating expressions ink.notebook
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19. Given y = x2 – 4, what is the value when x = –5.
17. Given y = 6x + 7, what is the value when x = –3.
20. Given y = x2 – 4, what is the value when x = 7.
18. Given y = 6x + 7, what is the value when x = 8.
Convert each decimal to a fraction in lowest terms. Remember you have to fill the screen for repeating decimals and use math enter enter on the graphing calculators or 2nd PRB on the small TI 36.
REVIEW from middle school:
21. 6.15
22. 8.24242424 . . . . .
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1.1 evaluating expressions ink.notebook
Convert each decimal to a fraction in lowest terms. Remember you have to fill the screen for repeating decimals and use math enter enter on the graphing calculators or 2nd PRB on the small TI 36.
August 17, 2016
Solve each. Leave answers as whole numbers or fractions. Find the answer to the square root first and then multiply it by the front number.
24.
25.
23.
Solve each. Leave answers as whole numbers or fractions. Find the answer to the square root first and then multiply it by the front number.
26.
27.
Solve each absolute value. Remember that the solution inside an absolute value symbol always pops out positive or zero. 28.
29.
30.
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1.1 evaluating expressions ink.notebook
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