Algebra 2 Honors

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ALGEBRA 2
Chapter 1: Essential Questions
How do variables help you model
real-world situations?
How can you use the properties of
real numbers to simplify algebraic
expressions?
How do you solve an equation or
inequality?
Write your definitions.
Remember you are responsible for knowing all these terms!
They are key to your success in Math
Vocabulary
Word
Variable
Numerical
Expression
Algebraic
Expression
Constant
Definition
Examples
1-1 PATTERNS AND EXPRESSIONS
 Some
patterns can be represented using
diagrams, words, numbers or algebraic
expressions.
 Variables can represent different
quantities in real world situations and in
patterns.
 This lesson communicates that searching
for patterns is a proven problem solving
technique and is a foundation for
mathematical knowledge.
PATTERNS AND EXPRESSIONS





Please look at the arithmetic sequences below.
1.
1, 2, 4, 8, 16, 32, 64 …
2.
1, 4, 9,16 …
Look at the patterns and draw what you think is
the 9th number in the first sequence?
What do you think the 6th number is in the
second sequence?
What is the pattern for the 1st and 2nd sequence?
Can you write a rule for each sequence.
PATTERNS AND EXPRESSIONS


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Please look at the arithmetic sequences below.
1.
2, 4, 8, 16, 32, 64 …
2.
1, 4, 9,16 …
Look at the patterns and draw what you think is
the 8th number in the first sequence? 256
What do you think the 6th number is in the
second sequence? 36
In words, what is the pattern for the 1st and 2nd
sequence? Doubling/Perfect squares
PROBLEM 1

Look at the figures from left to right. What is the
pattern? What should the next figure in the
pattern look like?
The pattern shows regular polygons with the
number of sides increasing by one.
 The last figure shown above has six sides, so the
next figure would have seven sides.

GOT IT ? # 1 PAGE 4

Look at the patterns from left to right. What is the
pattern? Draw the next figure in the pattern.
Did you write your definitions?
Remember you are responsible for knowing all these terms!
They are key to your success in Math
Vocabulary
Word
Definition
Examples
Variable
A symbol, or letter that
represents one or more
numbers
n r
Numerical
Expression
A mathematical phrase
that contains numbers
and operation symbols
(No equal sign: that is
equation)
3+5
Algebraic
Expression
A mathmatical phrase
containing one or more
variables
6n + 8
3(2x - 3) + 7
Constant
A quantity whose value
does not change
3
x etc
(5 – 2) + 8
2.5
1/2
PROBLEM 2 EXPRESSING A PATTERN WITH
ALGEBRA. PAGE 5
Figure Number (Input)
1
2
3
:
n
20
Process Column
Number of
Toothpicks
1(4)
2(4)
3(4)
:
?
?
Got it? # 2. How many tiles are in the 25th Figure in this
pattern? Create a table like the one above.
4
8
12
:
?
?
PROBLEM 3 USING A GRAPH, PAGE 6
PROBLEM 3, PAGE 6
Input(Fish Length) Process (Formula)
Output (Capacity)
0
5
0+2
2
0+5
5
10
0 + 10
10
Output = Input + 2
= 17 + 2
= 19
So which tank will you buy??
GOT IT # 3, PAGE 6
GOT IT #3 PAGE 6

The graph shows the total cost of platys at the
aquarium shop. Use a table to answer the
questions.
A. How much do 6 platys cost?
 B. How much to 10 platys cost?
 C. Why is the graph in Example 3, while the
graph regarding platys is a set of points?

LET’S LOOK AT SOME QUESTIONS
LESSON 1-1
Text p 7, 1-7 working in pairs
 Practice workbook, p 3-4 all
 Finish for homework / Remember homework will
not be accepted if ALL work is not shown.
 ******If you think it in your head or enter it in a
calculator, you MUST write it down.**********


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