EQUATIONS
UNIT 5
Day 45 Solutions of Equations
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Use p. 292 to review vocabulary
GO 8.1 Solutions of Equations (can skip this or
combine it with 8.2. This is mostly a review).
If do this separate from 8.2, use Katie’s Kennel
Task:
o Katie operates a dog sitting business
out of her home each summer. Katie’s
Kennel has 3 dogs for one week, a small
Yorkie, a Collie, and a large St. Barnard.
Each day, the Collie eats twice as much
as the Yorkie, and the St. Bernard eats
three times as much as the Yorkie.
Katie feeds the dog s total of 4 ½
pounds of dog food a day. How much
dog food does each dog get in a day?
How much dog food will Katie need for
a week?
Vocabulary
o Equation: statement that two
mathematical expressions are equal
o Solution of an equation: a value of a
variable that makes an equations true
Work in Go Math 8.1
Algepair Cards
Homework: p. 145, 146 and sheet
Day 46 Write Equations from words
o translation from words to equation
review this – they struggle a lot.
Remind them that “than” is a magical
word-it “flips”. Ex: 9 less than 14 = 5 is 14 –
9=5
 Real World Video, Wind Farming
 GO 8.2 Write Equations
 TASK (GO) Unlock the Problem.
o Students are not in text. Show problem
on ELMO. Students solve problem and
write an equation.
 Work in Go Math 8.2
 Homework: p. 147, 148
Day 47 1-Step equations
8.3, 8.4, 8.5, 8.6
 Vocabulary:
o Inverse operations: operations that
undo each other
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Solve 1-step equations, begin with addition,
subtraction, and then move to multiplication,
division and require them to check their
answer
Suggestion for teaching:
o Can use cups and tile separators (the
concept is pretty easy for them so
sometimes the tiles and cups confuses
them)
o Start with whole numbers
o Add fractions, decimals
 Make sure they understand that
the answer is the number
solved for the variable, not
what is on the other side of the
equal sign. Ex: x + 4 = 9. The
answer is 5 not 9
 Homework: Use Go Math, all 4
lessons. Pick and choose the
bare problems. Make sure they
are mostly fractions and
decimals with a few whole
numbers thrown in.
o Review whole numbers and fractions
 They write explanations in
journal about why the equation
works. Ex: C ÷ 5 = 5. Write in
words: “the quotient of 25 and 5
is 5” or something similar to
this. So they are taking the
equations and doing the
translating backwards.
 Extra Practice: SF, 1-14, 1-15
 Extension for practice:
incorporating addition and
subtraction to make 2 step
problems – example 3x + 4 = 13,
check solution – worksheet for
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extra problems. Can use tiles
and cups for this.
 HW – story problems. Use HW
sheets from Go Math, all 4
lessons. Pick and choose the
story problems they will do.
o Use itools from ThinkCentral
For each day, create HW sheets from Go Math,
Scott Foresman, other texts, and Internet
sources.
Day 49 Equations and Inequalities and number
line
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Introduce inequalities and what they mean
(the idea that there are infinite number of
solutions whereas with equations there is only
one solution)
Go Math 8.7, 8.8, 8.9, 8.10 (8.8 and 8.10 are the
“meat” of inequalities)
Vocabulary
o Inequality: mathematical sentence that
compares two expressions using the
symbol <, >, ≤, ≥, or ≠.
o Solution of an inequality: value of a
variable that makes the inequality true.
They can have more than one solution.
TASK (Wiki) Wicked at Lagoon
o In order to ride Wicked at Lagoon, you
have to be at least 48 inches tall. Work
with your team to describe what this
height restriction would look like
mathematically using an inequality.
List 10 heights that would be allowed
on the ride and 10 that would not be.
How many possible heights are there?
What can you say about the solution
set of inequality? Illustrate on a
number line to show all of the possible
heights for Wicked.
Work in book
HW
Day 50 Independent and dependent variables
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GO 9.1 Independent and Dependent Variables
(Collaborate about concept)
Vocabulary
o Independent variable: variable whose
value determines the value of another
quantity
o Dependent variable: variable whose
value is determined by the value of
another quantity
Work in Go Math 9.1
Homework: p. 169, 170
Day 51 Equations and Tables
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TASK (Wiki) Summer Job
o Bill wants to earn $135 this summer.
He already has $42. If he earns $15 a
week, at what week will he have
enough to reach his goal?
o See wiki for extensions
GO 9.2 Equations and Tables (NCTM Puzzle
Book)
Peggy's Function Machine Chart
Work in Go Math 9.2
Homework: 171, 172
Extra Practice: SF 12-6
Day 52 Analyze Relationships
 Real World Video Space Architecture
o Ask: In the Mars greenhouse, how will
the astronauts grow plants?
 GO 9.3 Problem Solving – Analyze
Relationships
 TASK (GO) Unlock the Problem.
o The amount of water pumped through
a fire hose is 150 gallons over 1 min,
300 gallons over 2 min. If the pattern
continues, how long will it take a
firefighter to spray 3,000 gallons of
water on a fire using this hose?
o Write an equation
o Math Talk in journal
 Work in Go Math 9.3
o Homework: p. 173, 174
Day 53 Graphing Relationships
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GO 9.4 Graphing Relationship between two
quantities
Spaghetti graphs and graphs to begin graphing
Unlock the Problem
o Look at graph and discuss scale
o Math Talk in journal
Work in Go Math 9.4
Homework: 175, 176
Day 54 Equations and Graphs
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Vocabulary
o Linear equation: equation whose
solutions form a straight line on a
coordinate plane
GO 9.5 Equations and Graphs (translate)
How is (2, 4) different from (4, 2)?
Unlock the Problem
Work in Go Math 9.5
Homework: 177, 178
Day 55 Penny Problem
Whale problem – see Rhiannon
Review and Test