Algebra I Unit #2: Solving Linear Equations
Essential Questions:
1) How do you solve equations in one variable?
2) How do you solve a proportion problem?
3) How do you rewrite an equation in two or more variables?
Vocab:
inverse operations
equivalent equations
identity
ratio
formula
proportion
cross product
scale
like terms
integers
distributive property
radicand
Golden Ratio
reciprocal
square root
Fibonacci Sequence
perfect square
irrational numbers
rational numbers
Khan Academy Sections: writing proportions, proportions 1, expressing ratios as fractions, solving equations in
terms of a variable, one-step equations with mult., one-step equations, multi-step equations, equations with
variable on both sides, combining like terms with distribution, 2-step equations
Homework Check
5 points
4 points
Algebra I Section/Lesson
Assigned Problems
3 points
Day 1
Pre-Test/Word Walls/Pre-Requisite
Skills
Day 2
Day 3
2.1 Find Square Roots and Compare
Real Numbers
How do you evaluate a square root and
compare real numbers?
Khan: Square Roots, Estimating Square
Roots
2.3 Solve Two-Step Equations
How do you solve two-step equations?
Khan: 2-step equations
Word Wall
Pre-Req. Skills Pg. 70 1-13 all
Pages 76-79
x: 11-14, 19-23, 27, 28, 38, 39,
46 (14)
y: 4-10, 15-18, 24, 25, 34, 35, 45
(16)
Journal Question #1
Pages 94-96
x: 1, 10-14 even, 19-21, 24-26,
33-35, 38,39
(15 total)
y: 1-21 odd, 24, 27, 28, 37, 38
(16 total)
Day 4
2.4 Solve Multi-Step Equations
How do you solve multi-step equations?
Khan: multi-step equations
Day 5
2.4 Solve Multi-Step Equations
How do you solve multi-step equations?
Khan: combining like terms with
distribution
Pages 100-103
x: 9-11, 15-18, 29-32, 37
(12 total)
y: 1, 4-10even, 12-15, 27-29
(15 total)
Journal Question #2
Pages 100-103
x: 22-25, 33, 34, 36, 38, 42
p. 109 Quiz 1-4 (14 total)
y: 19-22, 25, 33, 34, 36, 38, 42
p. 109 Quiz 1-4 (15 total)
Day 6
No Stamp Needed
Day7
Quiz Lessons 2.1-2.4
2.5 Solve Equations with the variable on
both sides
*How do you solve equations with
variables on both sides?
Khan: Equations with the variable on
both sides
Work on Journal Questions
Pages 107-109
x: 2, 7, 8, 12-14, 20-26 evens,
29, 38-48 evens, 50 (18 total)
y: 2, 7-13 odd, 19-27 odd, 33-43
odd, 44-46, 49 (20 total)
Journal Question #3
Day 8
2.6 Write Ratios and Proportions
*How do you find ratios and write and
solve proportions?
Khan: Writing Proportions
Day 9
2.7 Solve Proportions Using Cross
Products?
How do you solve proportions using
cross products?
Khan: Proportions 1
Pages 117-119
x: 1, 16-19, 27-30, 32-42
evens, 43-51 odds (20 total)
y: 1, 5, 6, 10-18 evens, 21-43
odd, 47, 49 (22 total)
Journal Question #4, #6
Pages 123-125
x: 1, 11-15, 17, 24-32 evens,
33, 37, 38 (15 total)
y: 1, 2, 5-12, 15, 17, 19-27
odd, 35, 36 (19 total)
Journal Question #5, #7
Journal Questions
Day 10
2.8 Rewrite Equations and Formulas
*How do you rewrite equations?
Khan: solving equations in terms of a
variable
Pages 129-131
x: 15-20, 23, 27, 32, p. 131
Quiz 3-10 (18 total)
y: 11-15, 20, 23, 27, 32, p.131
Quiz 1-10 all
Journal Question #8, #9
Day 11
Golden Ratio Activity
What is the golden ratio and where can
it be found?
Everyone: Golden
Ratio/Rewriting Formulas WS
Journal Question #10
Khan: expressing ratios as fractions
Day 12
No Stamp Needed
Quiz Lessons 2.5-2.8
No Stamp Needed
Test Review Day
Finish Journal Questions
Day 13
Day 14
No Stamp Needed
Unit 2 Test
Book Questions (2 points each)
1)
2)
3)
4)
5)
P 78 #51
P 101 #35
P 109 #52
P 113 #3
P124 #41
ACT Questions (2 points each):
Extra Credit P. 130 #34, P130 #2
Relax!!!
6) A model of the Gateway Arch in St. Louis, Missouri, was built using a scale of 1 ft : 500 ft. The model
is 1.26 feet tall. What is the actual height of the Gateway Arch?
a) 75.6 ft
b) 396.8 ft
c) 630 ft
d) 7560 ft
7) 45 is 80% of what number?
a) 36
b) 56.25
c) 60
d) 64.5
8) A grocery store sells apples by the pound. A 3 pound bad of apples costs $2.99. About how much
does a 5 pound bag of apples cost?
a)$3.24
b) $3.45
c) $4.98
9. What is the value of 𝑥 in the proportion
a) 4
b) 6
c) 7
d) $5.98
3
2𝑥−10
=
12
?
𝑥+9
d) 8
10. A school has a 2:3:35 ratio of administrators, teachers, and students respectively. If the school has
exactly 15 teachers, what is the total number of administrators, teachers, and students ?
a) 160
b) 175
c) 200
d) 320
e) 375