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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?

Essential Questions:

Unit 3: Equations and InequalitiesPart 1: Expressions VS Equations and Inequalities

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Testing Connection

Which of the following can be identified as an  equation?

A.B.C.D.

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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? 

Think. Pair. Share.

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Can you now determine the value of x?

What changed?

Think. Pair. Share.

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What about now?  Can you determine the value(s) of x?

What is different this me?

Think. Pair. Share.

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Sorting ActivityLook 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'.

Sorting Cards available on CMAPP

Days 23­24Supplemental Resources

Be prepared to share your reasoning with the class.

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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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Expressions: Revisit from the last unit

 ‐ Expressions can be evaluated or simplified,    but they  cannot be "solved"

Expressions, Equations, & Inequalities

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

I. 

NOTES available in pdf format on CMAPP:Days 23­24

Supplemental Resources 

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Equaon  

  ‐ Equaons can be  solved and usually have one      soluon  ‐ Like a balanced scale

‐ a mathemacal sentence that states two   expressions are equivalent‐ has an equal sign in between    

Examples:

NOTES II. 

NOTES available in pdf format on CMAPP:Days 23­24

Supplemental Resources 

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EquationsLike a balanced scale

What is the value of x?

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EquationsLike a balanced scale

Can you guess the value of x?

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Expressions, Equations, & Inequalities

InequalityIII. ‐ 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:

NOTES (continued)NOTES available in pdf format 

on CMAPP:Days 23­24

Supplemental Resources 

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InequalitiesLike an unbalanced scale

Can you guess some possible values of x?

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InequalitiesLike an unbalanced scale

Challenge: Can you guess some possible values of m?

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Expression   

 ________

is to

is to 

AS

Phrase 

Equation or Inequality 

Language Arts Connection.....Think of a word that completes this analogy

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Expression   

 ________

is to

is to 

AS

Phrase 

Equation or Inequality 

Sentence!

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usually has one solution

a mathematical sentence

a mathematicalphrase

has multiple solutions

has no solutions can have variables

can be simplified

has an equal sign

cannot be solved

can have numbers

can be solved

like a scale

like an unbalanced scale

like a balanced scale

Drag each characteristic to the appropriate spot in the Venn DiagramVenn Diagram available in pdf 

format on CMAPP:Days 23­24

Supplemental Resources 

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usually has one solution

a mathematical sentence

a mathematicalphrase

has multiple solutions

has no solutionscan have variables

can be simplified

has an equal signcannot be solved can have numbers

can be solved

like a scale

like an unbalanced scale

like a balanced scale

solution

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Drag each object below to its appropriate category

Let's revisit the sorting card activity from earlier...did you have them all correct?

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Solution

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Part1Wksht1WORKSHEET available as 

Word.doc on CMAPP:Days 23­24

Supplemental Resources 

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Solutions

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NameDatePd

Problems Answers1

2

3 3

4 4

5 5

2

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Unit3 Part1 Quiz

Identify as either an expression, equation, or inequality.

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7 7

8 8

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Identifying Expressions, Equations, & Inequalities

QUIZ available as Word.doc on CMAPP:

Days 23­24Supplemental Resources 

(Sample)

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Reteachinghttp://www.eduplace.com/math/mathsteps/3/d/3.represent.ideas.htmlBasic Introduction to Expressions vs Equations

http://www.eduplace.com/math/mathsteps/3/d/3.represent.develop.htmlReview the meaning of inequality symbols

http://exchange.smarttech.com/details.html?id=67cbc914­759c­4f84­9c5b­d710490bd253File in SmartNotebook for more basic review and practice with Expressions, Equations, and Inequalities

http://www.insidemathematics.org/index.php/classroom­video­visits/public­lesson­equations­inequalities­properties/242­equations­inequalities­a­properties­lesson­planning?

Algebraic Equations, Inequalities & Properties: Lesson Planning

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Enrichment

Introduce Unit 3 Problem Solving Challenge!

Problem Solving Challenge available as Word.doc on 

CMAPP:Days 23­24Enrichment

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