EQUATIONS AND EXPRESSIONS UNIT 4
Day 37 - 38
EE.1. Write and evaluate
numerical expressions
involving whole-number
exponents.
Prime Time Inv. 4 SF 1-2
Day 37
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GO 7.1 Expressions involving exponents
Vocabulary:
o exponent: number that tells how many
times a number called the base is used
as a repeated factor
o base: the number that is used as a
repeated factor
 Literacy: Fabulous Fibonacci Numbers =
about Leonardo Fibonacci and some of his
mathematical discoveries relating to patterns.
 Complete Unlock the Problem together
 Example 1 – powers of ten (Walking Decimal
flipchart), Math Talk in journal
 Example 2
 Share and Show #3, 6
 If correct, On Your Own
 Extra Practice: SF 1-2
 Homework: p. 123 - 124
Day 38
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Day 39 - 41
EE.2.a.b.c Write, read, and
evaluate expressions in
which letters stand for
GO 7.2 Order of operations to evaluate
expressions involving exponents
 Vocabulary; numerical expression, order of
operations, evaluate
 TASK (GO) Unlock the Problem
o Give the task BEFORE they see text.
They need to use order of ops to get
correct answer.
o Discuss process
 Example 1
 Example 2
 Extra Practice: SF 1-8
 Share and Show #3, 4
 If correct, On Your Own
 Homework: p. 125, 126
Day 39
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GO 7.3 Write Algebraic Expressions
Vocab: use graphic organizer p. 257A and ut
in journal to help with vocab.
numbers. . SF 1-13
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Vocabulary:
o algebraic expression: mathematical
phrase that includes at least on
variable.
o Variable: letter or symbol that stand
for one or more numbers.
Discuss Variables
Math Talk in journal
Example 1
Share and Show #2, 4
Extra practice in SF
Homework: p. 127, 128
Day 40
 GO 7.4 Identify parts of Expressions
 Vocabulary:
o Terms: parts of the expression that are
separated by an addition or
subtraction sign
o Coefficient: number that is multiplied
by a variable
 Complete Unlock the Problem together
o What does each number in the
expression represent?
o Why is 6 + 7 in parentheses?
o What is another way you could write
this expression?
 Example and both math talks
 Share and Show #2, 3
Day 41
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GO 7.5 Evaluate Algebraic Expressions and
Formulas
Real World Video, “Fish Farming”
TASK (GO) Unlock the Problem “Mitchell is
saving money to buy an MP3 player that costs
$120. He starts with #25 and each week he
saves $9. How much money will Mitchell have
saved after 8 weeks? After how many weeks
will Mitchell have saved enough money to buy
the MP3 player?
o After students have worked the
problem, discuss an expression with a
Day
EE.6. Use variables to
represent numbers and
write expressions
Day 43 - 44
EE.3 Apply the properties of
operations to generate
equivalent expressions SF 19
variable that could be used.
o Math talk in journal p. 265
 Example 1
 Exampple 2
 Share and Show #3, 5
 If correct, On Your Own
 Homework: p. 131, 132
Day 42
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GO 7.6 Use Algebraic Expressions
Literacy: Music to Our Ears: learn how a band
uses equations to find out how much money
they’ve raised for a trip.
 TASK (Wiki) Lagoon
o It’s a beautiful day for playing! You’re
tired of the video games. You have a
ride to Farmington…so plan a day at
Lagoon!!!! Lagoon
website:https://www.lagoonpark.com
o Write an expression to represent how
much Lagoon day passes would cost
for you and a friend.
o Write an expression to represent how
much Lagoon day passes would cost
for your family.
o Write an expression to represent how
much Lagoon day passes would cost
for taking a group of friends for a
birthday party.
o Extension—four of your friends have a
“coke can” $5 p/ticket discount.
o Extension—include your senior citizen
grandma and baby sister or brother in
the total cost.
 Example
o Math talk in journal
 Share and Show #1, 2
 If correct, On Your Own
 Homework: p. 133, 134
Day 43
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GO 7.7 Combining like terms (simplify
expressions)
Vocabulary: like terms – terms that have the
same variables with the same exponents.
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Complete Unlock the Problem as class
o Math Talk p. 275
 Try Another Problem together
 Share and Show #3, 4
 If correct On Your Own
 Homework: p. 135, 136
Day 44
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Day 45
EE.4. Identify when two
expressions are equivalent
Day 46
EE.5. Understand solving an
equation or inequality as a
process of answering a
question Bits 2 Inv. 2, 3, 4
Bits 3 Inv. 1, 2, 3
GO 7.8 Generate Equivalent Expressions
Vocabulary: equivalent expressions – equal to
each other for any values of their variables
 Review properties of addition and
multiplication p. 279
 Review combine like terms with Unlock the
Problem
 Explicitly teach Distributive Property
 Example 1
 Example 2
o Math talk in journal
 Use distributive property with different
equations
 Share and Show #3, 5
 If correct, On Your Own
 Homework: 137, 138
Day 45
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GO 7.9 Identify Equivalent Expressions
Complete Unlock the Problem together
o Math Talk in journal
 Example
o Math Talk (bottom) in journal
 Share and Show #2, 4
 If correct, On Your Own
 Homework: p. 139, 140
Day 46
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This lesson may need more than 1 day
Use p. 292 to review vocabulary
Literacy: Input Should Equal Output – friends
who build a function machine to find the
value of one variable in an equation when the
value of another variable is known
GO 8.1 Solutions of Equations
TASK (Wiki) Katie's Kennel
o Katie operates a dog sitting business
Day 47 - 51
EE.7. Solve real-world and
mathematical problems by
writing and solving
equations of the
form x+ p = q and px = q for
cases in which p, q and x are
all nonnegative rational
numbers
out of her home each summer. Katie’s
Kennel has three dogs for one week, a
small Yorkie, a Collie, and a large St.
Bernard. 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 dogs a total
of 4 ½ pounds of dog food a day. How
much dog food does each dog eat in a
day? How much dog food will Katie
need for a week? If the collie’s owner
picks up the collie two days early, then
how much will Katie need?
o Write an equation used to solve
problem
 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
 Complete Unlock the Problem
o Math Talk in journal
 Example 1
 Example 2
o Math talk in journal
 Share and Show #3, 4
 If correct, On Your Own
 Homework: p. 145, 146
Day 47
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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.
Try this p. 297
Example 1
Example 2
Share and Show #2, 4
o Math Talk in journal
If correct, do On Your Own
Homework: p. 147, 148
Day 48
 GO 8.3 Model and solve addition equations
 Launch: Cup and tile separators
o Model using simple equations such as x
+5=8
o Show how to check and make that an
expectation with each problem
 GO 8.4 Solve addition and subtraction
equations
 Vocabulary:
o Inverse operations: operations that
undo each other
 Use tiles and cups, add vocabulary inverse
operations
o Math Talk in journal
 Example p. 306
o Math talk in journal
 Share and Show p. 303 #2, 8 and p. 307 #3, 6
 If correct, On Your Own p. 303, 304 (Use
model or inverse operations), p. 307, 308 –
check each problem
 Homework: p. 149, 150, 151, 152 – check each
problem (assign fewer problems if desired)
 Extra Practice: SF, 1-14, 1-15
Day 49
 GO 8.5 Model and solve multiplication
equations
 “Investigate” as class
 Extension for practice: incorporating
addition and subtraction to make 2 step
problems – example 3x + 4 = 13, check
solution
 Share and Show #4, 7 – check solution
 If correct, Problem Solving p. 312
 Homework: 153, 154 – check each problem
 (Wiki) 8.5 Extension (r & e)
Day 50
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GO 8.6 Solve multiplication and division
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equations
Unlock the Problem together – check solution
o Math Talk in journal
Example 1
Example 2
Share and Show #4, 6
If correct, On Your Own
Homework: p. 155, 156
Day 51
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Day 52
EE.5. Understand solving an
equation or inequality as a
process of answering a
question Bits 2 Inv. 2, 3, 4
Bits 3 Inv. 1, 2, 3
GO 8.7 Problem solving equations with
fractions
Unlock the Problem together
o A rod = 2/11 of a yard
o Math Talk in journal
Try Another Problem
o Math Talk in journal
Share and Show #3, 4
If correct, On Your Own
Homework: p. 157, 158
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Day 52
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GO 8.8 Solutions 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.
Unlock the Problem together
o Math Talk in journal
Example 1
Example 2
o Math Talk in journal
GO 8.9 Write inequalities
Unlock the Problem together
o Math Talk in journal
Example 1
o For B, Math Talk in journal
Example 2
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Day 53
EE.8. Write an inequality of
the form x > c or x < c to
represent a constraint or
condition in a realworld or
mathematical problem.
Day 54 - 58
EE.9.Use variables to
represent two quantities
Share and Show p. 325 #2, 4 and p. 329 #3, 5
If correct On Your Own p. 325, 326, and 329,
330
Homework: p. 159, 160, 161, 162
Day 53
 GO 8.10 Graph inequalities on a number line
 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.
 Unlock the Problem together
 Example 1
 Example 2
o Math Talk in journal
 Share and Show #2, 4
 If correct On Your Own
 Homework: p. 163, 164
Day 54
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Literacy: Input Should Equal Output – friends
who build a function machine to find the
value of one variable in an equation when the
value of another variable is known
GO 9.1 Independent and Dependant 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
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Unlock the Problem together
o Math Talk in journal
Example
Share and Show #2, 3
If correct On Your Own
Homework: p. 169, 170
Day 55
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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)
o Unlock the Problem together
Example
Peggy's Function Chart
Share and Show #2, 4
Homework: 171, 172
Extra Practice: SF 12-6
Day 56
 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
 Try Another Problem
o Math Talk in journal
 Share and Show #3, 4
 If correct On Your Own
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Homework: p. 173, 174
Day 57
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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
Example
o Discuss scale
Share and Show #2, 3
If correct On Your Own
Homework: 175, 176
Day 58
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Literacy: Buying Online – friends who use a
linear equation and function tables to find the
cost of buying music videos online
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
o Math Talk in journal
Example
Share and Show #2, 3
If correct On Your Own
Homework: 177, 178