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Mrs. Branson
7th
Grade Math
Unit 3: Expressions and Equations
Chapter 5: Expressions
 Be able to define and apply vocabulary terms found on page 346
Learning Objectives:
Lesson 1: Algebraic Expressions
 Evaluate an algebraic expression
 Write an algebraic expression
Lesson 2: Sequences
 Describe and extend sequences
 Write and evaluate an algebraic expression
Lesson 3: Properties of Operations
 Identify Properties
 Find a counterexample
 Use Mental Math
 Simplify expressions
Lesson 4: The Distributive Property
 Evaluate expre3ssions
 Write equivalent expressions
 Simplify expressions
Mid Chapter Check and Chapter Quiz
Lesson 5: Simplify Algebraic Expressions
 Identify parts of an expression
 Simplify expressions
Lesson 6: Add Linear Expressions
 Add linear expressions
 Simplify expressions
Lesson 7: Subtract Linear Expressions
 Subtract linear expressions
 Use the additive inverse to subtract expressions
 Use linear expressions to solve real world problems
Lesson 8: Factor Linear Expressions
 Find the greatest common factor (GCF) of monomials
 Factor algebraic expressions
 Use linear expressions to solve real world problems
Chapter Review and Chapter Test
Mrs. Branson
7th
Grade Math
Expressions: Chapter 5
Lesson 1: Algebraic Expressions
Term
Definition
Example
A symbol that represents
an unknown quantity
An expression that
contains variables,
numbers, and at least
one operation
The branch of math that
involves expressions
with variables
The numerical factor of a
multiplication
expression
Choosing a variable to
represent an unknown
quantity
Key Concept: In Algebra the multiplication sign is often omitted:
7y =
12cd =
ab =
x3 =
Review: Order of Operations
1.
Evaluate expressions inside ______________________________________________
2.
Evaluate all ____________________________________________________________
3.
4.
Multiply and Divide in order from ________________________________________
Add and Subtract in order from __________________________________________
Examples:
Evaluate an algebraic expression:
3(𝑡 − 4) 𝑖𝑓 𝑡 = 6
3(220−𝑎)
Athletic trainers use the formula 3(220
, where a is a person’s age, to find
5
their minimum training heart rate. Find Lottie’s minimum training heart rate if
she is 15 years old.
Write an algebraic expression:
Leah read 20 pages of a book. She plans to read 5 pages each day from now on.
Write an expression that represents the total number of pages she will have read in
d days.
Classwork: Pg. 352 Guided Practice: #1-5 and HOT problems 16 and 17
Complete Exit Slip
Homework: Pg. 353-354 #1-15
Mrs. Branson
7th
Grade Math
Expressions: Chapter 5
Lesson 2: Sequences
Warm-up: Page 356 #28-31
Term
Definition
An ordered list of numbers
Each number in a sequence
Each term is found by adding the same number to the previous term
In an arithmetic sequence, the terms can be:
______________________________________________________________________________
Complete Vocabulary Start-up Pg. 357
Examples: Describe and extend sequences:
1. Describe the relationship between the terms in
the arithmetic sequence 7, 11, 15, 19,… Then
write the next three terms in the sequence.
2. Describe the relationship between the terms in
the arithmetic sequence
0.1, 0.5, 0.8, 1.3,… Then write the next three
terms in the sequence
Complete Got it? Page 358
Write and evaluate an algebraic expression:
3. Janie started a new exercise routine. The first day, she did two sit-ups. Each day after that, he did 2 more sit-ups
than the previous day. If he continues his pattern, what algebraic expression can be used to help find the number of
sit ups on the nth day? Use the expression to find the number of sit-ups on the tenth day.
Complete Got it? Page 360 Classwork: Guided Practice Pg. 360 and HOT Problems 10-12
Homework: Pg. 361 - 362 #1-9
Mrs. Branson
7th
Grade Math
Expressions: Chapter 5
Lesson 3: Properties of Operations
Warm-up: Pg. 364 #27-31
A ________________________________ is a statement that is true for any number.
Property
Commutative Property
Associative Property
Additive Identity
Multiplicative Identity
Multiplicative Property of Zero
Description
Symbol
Example
Examples: Identify Properties:
See Example 1 Page 368
Name the property shown by the statement (3 ∙ 𝑚) ∙ 2 = 2 ∙ (3 ∙ 𝑚)
__________________________________________________________________________
You may wonder if any of the properties apply to subtraction or division. If you can find a
_____________________________________________________, an example that shows that a
conjecture is false, the property does not apply.
Find a Counterexample:
See example 2 Pg. 369
State whether the following conjecture is true or false. If false, provide a counterexample: Subtraction of
whole numbers is associative.
Use Mental Math
See example 3 Pg. 369
In a garden, a decorative pool in the shape of a box is 2 feet deep, 17 feet long, and 5 feet wide. Use
mental math to find the volume of water in the pool.
Simplify Expressions:
See examples 1 and 2 Pg. 370
Simplify 6 + (𝑑 + 8). Justify each step.
Complete Got it? Page 370 Classwork: Guided Practice Pg. 370 and HOT Problems 13-14
Homework: Pg. 371 - 372 #1-11