day 1 math, like terms

7/27/2019 Day 1 Math, Like Terms

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1.1 Working with Like Terms

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Daily Objective

Fred ordersd

Do Now

Common Core Math Standard

AZ-7.EE.1:Apply properties of operations as strategies to add, subtract, factor, and expand

linear expressions with rational coefficients

Jenni always works twice as many hours as Scott. If Scott works his typical 6 hours on

Monday and half that amount on Tuesday, how many hours does Jenni work over the

same time period?

What is the question asking?

What do I need to know first?

How will that help me answer the question?

By the end of the lesson, I will be able to ______________________________________

_______________________________________________________________________

_______________________________________________________________________

** How Can I Use This? **

Mr. Walker and his friend go to the drive-thru at McDonalds. He orders threehamburgers and two fries and his friend asks for four hamburgers and three fries.Represent the total number of hamburgersh and friesfby writing an expression.

3h + 2f+ 4h + 3f= 7h + 5f
http://www.google.com/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&docid=Y58MiYxSWTi7fM&tbnid=ixYhDmU1ibRHmM:&ved=0CAUQjRw&url=http://www.cgtrader.com/3d-models/food/miscellaneous/mcdonald-s-hamburger-meal&ei=LhLwUbObKc_0igKAs4HoBQ&bvm=bv.49784469,d.cGE&psig=AFQjCNFVh0xeM3UU-4nfU8wsOlnV5yr8pw&ust=1374774179500879http://www.google.com/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&docid=Y58MiYxSWTi7fM&tbnid=ixYhDmU1ibRHmM:&ved=0CAUQjRw&url=http://www.cgtrader.com/3d-models/food/miscellaneous/mcdonald-s-hamburger-meal&ei=LhLwUbObKc_0igKAs4HoBQ&bvm=bv.49784469,d.cGE&psig=AFQjCNFVh0xeM3UU-4nfU8wsOlnV5yr8pw&ust=1374774179500879http://www.google.com/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&docid=Y58MiYxSWTi7fM&tbnid=ixYhDmU1ibRHmM:&ved=0CAUQjRw&url=http://www.cgtrader.com/3d-models/food/miscellaneous/mcdonald-s-hamburger-meal&ei=LhLwUbObKc_0igKAs4HoBQ&bvm=bv.49784469,d.cGE&psig=AFQjCNFVh0xeM3UU-4nfU8wsOlnV5yr8pw&ust=1374774179500879http://www.google.com/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&docid=Y58MiYxSWTi7fM&tbnid=ixYhDmU1ibRHmM:&ved=0CAUQjRw&url=http://www.cgtrader.com/3d-models/food/miscellaneous/mcdonald-s-hamburger-meal&ei=LhLwUbObKc_0igKAs4HoBQ&bvm=bv.49784469,d.cGE&psig=AFQjCNFVh0xeM3UU-4nfU8wsOlnV5yr8pw&ust=1374774179500879http://www.google.com/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&docid=Y58MiYxSWTi7fM&tbnid=ixYhDmU1ibRHmM:&ved=0CAUQjRw&url=http://www.cgtrader.com/3d-models/food/miscellaneous/mcdonald-s-hamburger-meal&ei=LhLwUbObKc_0igKAs4HoBQ&bvm=bv.49784469,d.cGE&psig=AFQjCNFVh0xeM3UU-4nfU8wsOlnV5yr8pw&ust=1374774179500879http://www.google.com/url?sa=i&rct=j&q=&esrc=s&frm=1&source=images&cd=&cad=rja&docid=Y58MiYxSWTi7fM&tbnid=ixYhDmU1ibRHmM:&ved=0CAUQjRw&url=http://www.cgtrader.com/3d-models/food/miscellaneous/mcdonald-s-hamburger-meal&ei=LhLwUbObKc_0igKAs4HoBQ&bvm=bv.49784469,d.cGE&psig=AFQjCNFVh0xeM3UU-4nfU8wsOlnV5yr8pw&ust=1374774179500879


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[2]

Essential Vocabulary

Teacher Model1. Example 1

2. Example 2

Term

Coefficient

Constant

Variable

Identifying Like Terms Combining Like Terms

6x + 8 + 2 6x + 8 + 2

Constant:

Variable:

3 + 7x + 4 3 + 7x + 4

Constant:

Variable:


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[3]

Steps for Combining Like Terms

Guided Practice

Identify the constantterms andvariableterms. Simplify the expression.

1. 3x + 8 + 2x 2. 4x + 7 + 5

Constant: Constant:

Variable: Variable:

Simplified: Simplified:

3. 2x + 3x + 2x 4. 4 + 6x + x

Constant: Constant:

Variable: Variable:


5. 5x + 4x + 8 6. 9x + 5x

Constant: Constant:

Variable: Variable:


*A variable without a coefficient has a value of _______.

*Always keep the sign that is ___________ a number. `

1. Determine what the question is asking

2. Identify the unique parts of the expression

a. Circle the constants

b. Underline the variables

3. Simplify the expression


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[4]

Guided Practice


1. 7x + 8 + 6 2. x + 3 + 8x

Constant: Constant:

Variable: Variable:


3. 4 + 5x + 9x 4. 6 + 3x + 12 + x

Constant: Constant:

Variable: Variable:


5. 4xx + 7 6. 8x + 57x

Constant: Constant:

Variable: Variable:


7. 2x + 7xx 8. 14x5x + 10 + 4

Constant: Constant:

Variable: Variable:


9. Mr. Walker, despite his busy schedule, always finds time to read. This monthhe has read 4 books and 7 magazines. Last month he read 5 books and two

magazines. Write an expression for the total number of books b and magazines m

that Mr. Walker read.


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[5]

Partner Practice


1. 4 + 7 + 5x 2. x + 9x + 5

Constant: Constant:

Variable: Variable:


3. 7x + 35x 4. 6x10x

Constant: Constant:

Variable: Variable:


5. 5x2x + 8 6. 9x + 57x

Constant: Constant:

Variable: Variable:


7. 3x + 12 + 4x6 8. 4x + 5x + 9 + 7

Constant: Constant:

Variable: Variable:


9. 5x + x6 + 5x 10. 7x + 5 + 7x1

Constant: Constant:

Variable: Variable:



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Check for Understanding

Demonstrate what you have learned by solving the problems below. Youmay refer back to your notes.


1. 3x + 8 + 2x 2. 4x + 75

Constant: Constant:

Variable: Variable:


Whats Wrong With This?Look at the mistakes below and answer the questions to the right

Reviewing the Objective

Problem 1

6x + 3x + 9 + x = 19x (What went wrong? What is the correct answer?)

Problem 2

5x + 72x = 7x + 7 (What went wrong? What is the correct answer?)

Today, I am able to _________________________________________________

__________________________________________________________________


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Independent Practice

Work independently and silently on the problems below. If you have any

questions, refer to your notes and follow the procedures outlined in them.

This is why we take detailed notes!


1. 3x + 6x + 4 2. 2x + 7 + x

Constant: Constant:

Variable: Variable:


3. 2x7 + 3x 4. 66x + 9 + 11x

Constant: Constant:

Variable: Variable:


5. xx + 6 6. 12x + 53x

Constant: Constant:

Variable: Variable:


7. x + 2x + 3x 8. 7 + 7x + 24x

Constant: Constant:

Variable: Variable:



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[8]

Independent Practice

Work independently and silently on the problems below. If you have any

questions, refer to your notes and follow the procedures outlined in them.

This is why we take detailed notes!


1. 4x + 7 + 2x 2. 4x7 + 3

Constant: Constant:

Variable: Variable:


3. 2 + 3x + 7x 4. 14 + 2x4 + x

Constant: Constant:

Variable: Variable:


5. 11x2 + 8x 6. 6x + 5x

Constant: Constant:

Variable: Variable:


7. 13 + 4x + 2x 8. 7 + 5x + 10x + 9x

Constant: Constant:

Variable: Variable:



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[9]

Daily Review Sheet

This page is for you to keep in your binder and is to be worked on when you are finished

with the daily notes packet. It counts as a grade. Itwill serve as an overview of the days

lesson and is a quick reference for use on weekly quizzes.

Part 1: Objective(review the daily objective)

_____________________________________________________________

_____________________________________________________________

Part 2: Vocabulary(define the words from todays lesson)

Term:

Coefficient:

Constant:

Variable:

Part 3: Check for Understanding (apply your understanding of Like Terms)

1. What are terms that have a number but no variable called?

2. What is the coefficient ofy in the expression 83y + 1?

Part 4: Example Problems (solve the problems)

1. x + x + 7 2. 6x143x

Constant: Constant:

Variable: Variable:


Part 5: Word Problem (Write a mathematical expression and solve)

1. Mr. Walker watches TV every day. Two days ago he watched 2 movies andthree TV shows. Yesterday he watched 1 movie and 1 TV show. Write a

mathematical expression that represents how many math problems m he will

solve. Solve the expression.

day 1 math, like terms

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