This document provides an introduction to expressions, equations, and inequalities. It includes examples of each and explains the key differences. Expressions can be evaluated but not solved, while equations can be solved and set two expressions as equal. Inequalities relate expressions using inequality symbols and can have multiple solutions. Worked examples are provided to illustrate these concepts. Review questions and activities are included to help students distinguish between expressions, equations, and inequalities.

1. Unit 3: Equations and Inequalities
Part 1: Expressions VS Equations and Inequalities
Essential Questions:
What is an equation and how is it similar and/or
different from an expression?
What is an inequality and how is it similar
and/or different from expressions and
equations?
1

2. Testing Connection
Which of the following can be identified as an equation?
A.
B.
C.
D.
2

3. Think. Pair. Share.
1) Is the item above an expression, an
equation, or aninequality?
2) Is it possible to determine the value of x?
Why or why not?
3) What other information would you need in
order to determine
the value of x?
3

4. Think. Pair. Share.
Can you now determine the value of x?
What changed?
4

5. Think. Pair. Share.
What about now?
Can you determine the value(s) of x?
What is different this me?
5

6. Sorting Cards available on
Sorting Activity CMAPP
Days 23­24
Supplemental Resources
Look at the following 'items' carefully. With your group,
decide how you would group the items if you had to separate
them into three different 'categories'.
Be prepared to share your reasoning with the class.
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7. Discovery Education Video
*click the link below*
http://www.youtube.com/watch?v=jRHoXoqCL80
While you watch the video try to determine if your
three categories for the Sorting Activity are correct.
After viewing the video, decide with your group if you
should rearrange your items into different categories.
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8. NOTES available in pdf format
on CMAPP:
Days 23­24
Supplemental Resources
Expressions, Equations, & Inequalities
I. Expressions: Revisit from the last unit
‐ Expressions can be evaluated or simplified,
but they cannot be "solved"
Numerical expressions can be simplified to one number
Algebraic expressions can be simplified
Algebraic expressions can be evaluated for given variables
when x=3 when m=4
8

9. NOTES
NOTES available in pdf format
on CMAPP:
Days 23­24
Supplemental Resources
II. Equaon
‐ a mathemacal sentence that states two
expressions are equivalent
‐ has an equal sign in between
‐ Equaons can be solved and usually have one
soluon
‐ Like a balanced scale
Examples:
9

10. Equations
Like a balanced scale
What is the value of x?
10

11. Equations
Like a balanced scale
Can you guess the value of x?
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12. Expressions, Equations, & Inequalities
NOTES available in pdf format
NOTES (continued) on CMAPP:
Days 23­24
Supplemental Resources
III. Inequality
‐ a mathemacal sentence that states one
expression is greater than or less than
another expression
­ has inequality signs
‐ Inequalies can be solved and have many
soluons
‐ Like an unbalanced scale
Examples:
12

13. Inequalities
Like an unbalanced scale
Can you guess some possible values of x?
13

14. Inequalities
Like an unbalanced scale
Challenge: Can you guess some
possible values of m?
14

15. Language Arts Connection.....
Think of a word that completes this analogy
Expression is to Phrase
AS
Equation or
Inequality is to ________
15

16. Expression is to Phrase
AS
Equation or Sentence!
Inequality is to ________
16

17. Drag each characteristic to the appropriate spot in the Venn Diagram
Venn Diagram available in pdf
format on CMAPP:
Days 23­24
Supplemental Resources
has an equal sign
a mathematical a mathematical
phrase sentence
can have numbers usually has
can be simplified like a like a scale one solution
balanced scale
has no solutions can be solved
can have variables
cannot be solved like an
has multiple solutions unbalanced scale
17

18. solution
usually has
a mathematical one solution
phrase
can be simplified like a
balanced scale
has no solutions has an equal sign
can have variables
cannot be solved
can have numbers
like a scale
a mathematical
sentence
can be solved
like an
unbalanced scale
has multiple solutions
18

19. Let's revisit the sorting card activity from earlier...did you have them all correct?
Drag each object below to its appropriate category
19

20. Solution
20

21. Part1Wksht1
WORKSHEET available as
Word.doc on CMAPP:
Days 23­24
Supplemental Resources
21

22. Solutions
22

23. QUIZ available as Word.doc on (Sample)
Name
CMAPP:
Days 23­24
Supplemental Resources
Unit3 Part1 Quiz Date
Identifying Expressions, Equations, & Inequalities Pd
Identify as either an expression, equation, or inequality.
Problems Answers
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 10
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24. Reteaching
http://www.eduplace.com/math/mathsteps/3/d/3.represent.ideas.html
Basic Introduction to Expressions vs Equations
http://www.eduplace.com/math/mathsteps/3/d/3.represent.develop.html
Review the meaning of inequality symbols
http://exchange.smarttech.com/details.html?id=67cbc914­759c­4f84­9c5b­
d710490bd253
File in SmartNotebook for more basic review and practice with Expressions,
Equations, and Inequalities
http://www.insidemathematics.org/index.php/classroom­video­visits/public­lesson­equations­
inequalities­properties/242­equations­inequalities­a­properties­lesson­planning?
Algebraic Equations, Inequalities & Properties: Lesson Planning
24

25. Enrichment
Introduce Unit 3 Problem Solving Challenge!
Problem Solving Challenge
available as Word.doc on
CMAPP:
Days 23­24
Enrichment
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