# Lesson 1.1 Variables and Expressions

```Lesson 1.1
Variables and Expressions
Objectives: SWBAT
1) Write verbal expressions from algebraic expressions.
2) Write algebraic expressions from verbal expressions.
2 Minutes
2
1
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• 5pts. – the learner knows all of the simple knowledge and skills, all of the
complex knowledge and skills, and goes beyond what was taught is class to
apply the knowledge.
• 4pts. – the learner knows all the simple knowledge and skills, and all the
complex knowledge and skills.
• 3pts. – the learner knows all of the simple knowledge and skills.
• 2pts. – with help, the learner knows some of the simple knowledge and skills.
• 1pt. – even with help, the learner does not know any of the simple or complex
knowledge and skills.
Fact or Fib Showdown
Pre-Algebra Review
Fact or Fib
C.H.A.M.P.S
Conversation Level – 1
Help – Talk amongst your group. If you can’t agree, call over
teacher by having one person raise their hand
Activity – deciding individual if a statement is fact or fib.
Discussing an example that makes it true or example your side if
you disagree
Movement – No movement
Participation – Talk quietly and respectfully with other students in
your group. Listen when another person talks.
Success – Remember majority of review
Fact or Fib?
All functions are relations.
Fact or Fib?
All relations are functions.
Fact or Fib?
The domain of a function represents the set of all dependent
values.
Fact or Fib?
The range of a function represents the set of all outputs.
Fact or Fib?
This is the graph of a function:
Fact or Fib?
The following is an example of the Associative Property.
a+(b+c)=(a+b)+c
Fact or Fib?
The following is an example of an equation:
3x+5x
Fact or Fib?
A variable represents a value that is known.
Fact or Fib?
The ordered pair (0,3) represents a value on the y-axis.
Fact or Fib?
The line of symmetry is a line which splits the image into two
mirror images.
Fact or Fib?
Given 7(3x-5)=21x-5, then x can be any number.
Fact or Fib?
The mapping below represents a function
Fact or Fib?
Given 12(k-8)=84, then k=15
Fact or Fib?
Given the set {(1,2), (3,4), (5,6), (7,8)}, the range is {1,3,5,7}.
Key Word Grouping
C.H.A.M.P.S
Conversation Level – 1
Help – One person in group raise hand after you have made
sure no one knows in group
Activity – Grouping of Key Words
Movement – Standing or leaning in chairs
Participation – Talk quietly and respectfully with other
students in your group. Listen when another person talks.
Success – Group Keys Words into their respective group to the
10 Minutes
10
5
0
Equation Breakdown
Equation
Expression
(Algebraic)
Term
Term
3𝑥 + 5 = 20
Coefficient
Variable
Constant
exponent
base
6
5
Power
This is considered an
exponential expression
-5 to the sixth power
-5 to the power of six
-5 raised to the sixth power
-5 raised to the sixth
Converse Terms
7 more than the twice a number (older)
9 less than a number (younger)
Me, We, Two, You
Write an algebraic expression that would represent the verbal
statement.
1) One third of a number increased by 7
2) 50 cents per snickers
3) Product of base and height cut in half
4) The quotient of a number cubed and 8
5) 19 less than double a number cubed
1 Minute
1
45
30
15
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45
30
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1 Minute
1
Me, We, Two, You
Write a verbal statement that would represent the algebraic
expression.
1) 2𝑥 + 5
2) 𝑘 2 − 11
3)
4)
1
𝑚
2
3𝑥 2
2
1 Minute
1
45
30
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45
30
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1 Minute
1
Key Words in a Word Problem
It takes your brother 5 hours to paint his room and it takes
you 𝑥 hours to paint your room. Write an expression to
represent the average of the two of you painting your rooms.
Perimeter
The length of a certain rectangle is 7 inches longer than its
width. Write an expression to represent the perimeter of this
rectangle.
Write an expression to represent the area of this rectangle.
1 Minute
1
45
30
15
0
1 Minute
1
45
30
15
0
Average
The high score of Unit 1 Assessment is 18 points higher than
the lowest score in the class. Write an expression to represent
the average of the high and low scores of Unit 1 Assessment.
Perimeter Flashcards – If time
5 Minutes
5