Download 1-2 Lesson

SUBJECT
Algebra I
UNIT TITLE Number Properties and Operations
BIG IDEA
What symbols and terminology are used in
Algebra?
How are the four basic operations and
properties of numbers used to simplify
expressions?
Topic: 1-1 Variables
Objective:
To simplify numerical expressions and evaluate algebraic expressions
Core Content for Assessment:
MA-11-1.3.1 Students will solve realistic problems to specified
accuracy levels by simplifying expressions involving addition,
subtraction, multiplication, and division.
Essential Question:
What is a variable and how are they used?
Materials/Resources
Textbook, pre-test, variable expression cards
Procedures:
1. Warm up (10 question pretest)
2. Discuss having a job and rate of pay for the job. Complete the
following chart assuming hourly rate is $6.00/hour:
Hours Worked Total Pay Earned
1
2
3
4
3. What is the relationship between hours worked and total pay
earned? Relate this to the equation Total Pay = $6.00 x Hours
Worked or Total Pay = 6 x h where h can stand for the hours in the
table or other values not in the table. h is a variable.
4. Go over vocabulary:
Variable – symbol used to represent one or more numbers
Values of the variable – numbers that can replace the variable
Variable expression – expression that contains a variable
Numerical expression (or numeral) – an expression that names a
specific number
5. Have a table as follows on the front board:
Variable Variable Expression
Numerical Expression/Numeral
Give each student a card and ask them to place it on the board in
the appropriate column. Discuss why each card was placed in the
column chosen.
6. Multiplication: discuss different ways to write multiplication and
which one is preferred.
19 x n is the same as 19n or 19n
Write each in a different way:
4xd
mxn
½xx
7. Discuss: = is used to show two expressions are equal to each other
(4 + 2 = 6) and ≠ is used to show when they are not (4 + 5 ≠ 8)
8. Substitution Principle- an expression can be replaced by another
expression of the same value. Use to simplify the following
expressions:
a. 12 + (4  2)
b. 12  (4 + 2)
c. (3 + 2)  (6 – 1)
d. 12 x (12 – 2)
Evaluate each expression when m = 1 and n = 2.
e. 3(n + 4)
f. (mn) + 4
g. m + 14n
h.
m  14  n  14
5
4
Evaluate the expression for the given values of the variable:
i. bh when b = 22 and h = 6
j. 2l + 2w when l = 3 and w = 8
9. Class work: p.3 Oral Exercises
10. Homework: p.3-4 Problems as appropriate for level
Lesson Assessments:
Unit Pre-test
Class work
X
4t
Y
3y
b
12b
d
6x + 2
m
½d–3
n
4(x – 2)
t
bh
k
(t - f) + 3
6
2+4
17
5 – 23
86
1/234
3.9
0.2 17
1/3
5 - .5 4
-6
2–½
2½
0+3
0
3+6-2
Topic: 1-2 Grouping Symbols
Objective:
To simplify expressions with and without grouping symbols
Core Content for Assessment:
MA-11-5.2.1 Students will apply order of operations to simplify
algebraic expressions.
Essential Question:
What order should be followed when simplifying expressions?
Materials/Resources
Textbook, homework, warmup, krypto cards/flash app/graphing calc
Procedures:
1. Warmup
2. Check homework
3. Grouping Symbol - device used to enclose an expression that should
be simplified first.
Parentheses
6(5 – 2)
Bracket
3[9 + 2]
12  3
12  3
Fraction Bar
means
45
4  5
(Make sure students know that multiplication symbols are left out
of expressions using grouping symbols)
4. Order of Operations: discuss the order in which an expression is
simplified.
a. Start with innermost grouping symbol and work your way out.
b. Do all multiplication and division from left to right.
c. Do all addition and subtraction from left to right.
P
E
M
D
A
S
Please
Excuse
My
Dear
Aunt
Sally
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
5. Board Examples: Find the value of each expression.
a. 5(8 + 3)
b. 5(8) + 3
10  6
c.
10  2
d. 10 – [10  (8 – 3)]
e. 3 + 8  2 4
f. Find the value of the expression when a = 4, b = 7, and c = 10
4a  2b
ca
6. Play Krypto with cards/flash app/using random number feature of
TI-84+. (Instructions to follow)
7. Homework: p.8 Written Exercises as appropriate
Lesson Assessments:
Homework check
1-2 Warm up
Use only four 4’s to write a numerical expression that
equals each of the following numbers. Remember to use
parentheses when needed.
Example for the number 1:
1. 2 = 4 4 4 4
2. 3 = 4 4 4 4
3. 5 = 4 4 4 4
4. 10 = 4 4 4 4
Warmup sample answers
1.
2.
3.
4.
2 = (4  4) + (4  4)
3 = (4 + 4 + 4)  4
5 = (4  4 + 4)  4
10 = (44 – 4)  4
(4 + 4)  (4 + 4) = 1
Using the TI-84+ Random Number Feature to play Krypto
Object of Krypto:
Use the first five numbers and any of + - x  () to write
an expression equal to a sixth number.
To use the calculator to play Krypto:
1. Generate the first five numbers by
pressing m < 5 1, 26, 5)e .
2. Generate the sixth number by
pressing m<1,26)e.
3. Use the first result to generate the
second result.