7.ee.1 apply operations to add, subtract, factor, and expand linear expressions with rational...

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7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression in different, yet equivalent, forms in a problem can show how the quantities in it are related.

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Page 1: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients.7.EE.2 Understand that rewriting an expression in different, yet equivalent, forms in a problem can show how the quantities in it are related.

Page 2: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

CLASS PROCEDURE As soon as you come in you should:1. Place homework on desk2. Open agenda to current week3. Work on Spiral Review due on Friday-All work should be on a separate sheet and only the answers are given on the question sheet. 4. Always have a book to read in case you have a few extra minutes.THIS IS A QUIET TIME UNTIL I FINISH CHECKING HOMEWORK.Today you will need your:• math notebook• colored pencils• glue stick

Page 3: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

INTERACTIVE NOTEBOOK

You are a mathematician. Mathematicians use notebooks and journals to record data, illustrations, charts, graphs, and their thinking. You can also use it to record your questions and ides. We will follow guidelines when using our notebooks to make them informative and interesting.

Your notebook should reflect your experiences, your thinking, and your creativity, but it should be easily understood by others.

“Using Interactive Notebooks in the Classroom,”

© 2011 Region 4 Education Service Center

Page 4: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

What is an Interactive Notebook?

Right side of the page is

given by the

teacher.

Left side of the page is created by

the student.

Page 5: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Glue “Who I Am” in the front of your math notebook.

Cut around the edges to make it fit.

No page number on this page.

After this page begin numbering.

Page 6: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

We will set up our Interactive Math Notebook as follows: Who I Am

L1 Table of Contents

R1Table of Contents

L2Table of Contents

R2Table of Contents

L3Table of Contents

R3Table of Contents

L4Math Syllabus

R47th Grade Objectives

L5Interactive Notebook Guidelines

R5Problem Solving Strategy

L6Vocabulary List of Qtrs. 1 and 2

R6Unit 1 - Integers andExpressions

L7Order of Operations

R7Order of Operations

Finish numbering pages through R24

Page 7: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Guidelines

• Write neatly and legibly –cross out mistakes with a single line or carefully erase• Do not tear out pages• Number each page• Create a table of contents• Title each activity and add to the table of contents• Label drawings, graphs, and charts• Use sentences to communicate observations, plans, explanations, conclusions, and applications

L5

Page 8: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Glue in:

SyllabusVocabulary

Page 9: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Date Objectives Title Page

Who I AM

Table of Contents R1, R2, R3

Math Syllabus L4

7th Grade Objectives R4

Interactive Notebook Guidelines L5

Problem Solving Strategy R5

Vocabulary List Qtr 1 and 2 L6

Unit 1 Integers and Expressions R6

8-27-13 7EE.17EE.2

Review of Order of Operations R7

8-28-13 7EE.1 Review of Collecting Like Terms R8

8-29-13 7NS.2b Distributive Property R9

8-30-13 7.NS.1.a7.NS.1.b7.NS.1d

Absolute Value and Modeling Integers

R10

TABLE OF CONTENTS

In Margin

Page 10: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Date Objectives Title Page

9-3-13 7.NS.1.a7.NS.1.b7.NS.1d

Adding Integers R11

9-4-13 7.NS.1c 7.NS.1d Subtracting Integers R12

9-5-13 7.NS.1c 7.NS.1d Subtracting Integers and Quiz R13

9-9-13 7.NS.17.NS.2 Practice with Addition and

Subtractions of Integers R14

9-10-13 7.NS.2 Multiplying and Dividing Integers R15

9-11-13 7.NS.1a  7.NS.1d 7.EE.17.EE.27.EE.3

Order of Operations and Combining Like Terms with Integers and Quiz

R16

9-12-13 7.EE.17.EE.2 Distributive Property with Integers R17

Page 11: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Date Objective Title page

9-13-13 7.EE.17.EE.2 Distributive Property with Integers

And quizR18

9-16-13 7.EE.17.EE.2 Evaluating Expressions R19

9-17-13 Evaluating Expressions and Quiz R20

9-18-13 7.EE.2  7.EE.3  7.NS.3

Verbal Expressions and Solving Word Problems with Integers

R21

9-19-13 7.EE.2  7.EE.3  7.NS.3

Verbal Expressions and Solving Word Problems with Integers

R22

9-20-13 REVIEW R23

9-23-13 REVIEW R24

9-24-13 UNIT TEST

Page 12: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

R78-27-13

TITLELearner Objective:

Traffic lightL7Learning Goal-I will

What I know: (2 sentences about what your already know about the topic.)

Proof of learning-guided practice.

Reflection (creative)

Page 13: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Students should be able to: •Use order of operations to solve problems

Order of Operations

Page: R7Date: 8-27-13

Remember:

Multiplication and division are related to each other.Addition and subtractions are related to each otherWhen two operations are related, that means that you solve them as they appear in the problem left to right.

A fraction bar is also a grouping symbol )24(

3

24

÷3

Page 14: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Order of Operations Foldable

(Four-door foldable)Exponents

Grouping

MultiplicationDivision

AdditionSubtraction

Ord

er o

f op

erat

ions

Page 15: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

42 - 5 + (9÷ 3 + 2) = ?

42 - 5 + 5 = ?

YES

NO

YES

NO

42 - 5 + (9÷ 3 + 2) = ?

16 - 5 + 5 = ?

YES

NO

YES

NO

Page 16: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Evaluate.Example 1:

Course 2

2-3 Order of Operations

A. 3 + 15 ÷ 5 3 + 15 ÷ 5

3 + 3

6

Divide.

Add.

Page 17: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Evaluate.Example 1:

Course 2

2-3 Order of Operations

B. 44 – 14 ÷ 2 · 4 + 6 44 – 14 ÷ 2 · 4 + 6

44 – 7 · 4 + 6

44 – 28 + 6

16 + 6

22

Divide and multiply fromleft to right.

Subtract and add fromleft to right.

Page 18: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Evaluate.Example 1:

Course 2

2-3 Order of Operations

C. 3 + 23 · 5 3 + 23 · 5

3 + 8 · 5

3 + 40

43

Evaluate the power.

Multiply.

Add.

Page 19: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Evaluate.Example 2:

Course 2

2-3 Order of Operations

A. 42 – (3 · 4) ÷ 6 42 – (3 · 4) ÷ 6

42 – 12 ÷ 6

42 – 2

40

Perform the operation insidethe parentheses.

Page 20: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Evaluate.Example 2:

Course 2

2-3 Order of Operations

B. [(26 – 4 · 5) + 6]2 [(26 – 4 · 5) + 6]2

[(26 – 20) + 6]2

[6 + 6]2

122

144

The parentheses are inside the brackets, so perform the operationsinside the parenthesesfirst.

Page 21: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Example 3:

Course 2

2-3 Order of Operations

Sandy runs 4 miles per day. She ran 5 days during the first week of the month. She ran only 3 days each week for the next 3 weeks. Evaluate the expression (5 + 3 · 3) · 4 to find how many miles she ran last month.

Week Days

Week 1 5

Week 2 3

Week 3 3

Week 4 3

(5 + 3 · 3) · 4

(5 + 9) · 4

14 · 4

56

Sandy ran 56 miles last month.

Perform the operationsinside the parenthesisfirst.

Page 22: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Lesson Quiz: Part 1Evaluate.

1. 27 + 56 ÷ 7

2. 9 · 7 – 5

3. (28 – 8) ÷ 4

4. 136 – 102 ÷ 5

5. (9 – 5)3 · (7 + 1)2 ÷ 4

58

35

Insert Lesson Title Here

5

116

Course 2

2-3 Order of Operations

1,024

Page 23: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Lesson Quiz: Part 2

Evaluate.

6. Denzel paid a basic fee of $35 per month plus $2 for

each phone call beyond his basic plan. Evaluate 35 +

8(2) to find out how much Denzel paid for a month

with 8 calls outside of the basic plan.

$51

Insert Lesson Title Here

Course 2

2-3 Order of Operations

Page 24: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Sample EOG Question:

What is the value of:8 • 5 - 3(24 ÷ 6)

A. 28 B. 64 C. 111 D. 148

Page 25: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression
Page 26: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression
Page 27: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Traffic Light

Red - I have lots of questions.

Yellow - I mostly get it but need practice.

Green - I got it; No problems; Ready to move on.

Page 28: 7.EE.1 Apply operations to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2 Understand that rewriting an expression

Come up with your unique way of remembering the order of operations and

how to combine like terms.

Homework: Handout on order of operations

SUMMARY/REFLECTION