Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an...

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Chapter 5 Expressions

Transcript of Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an...

Page 1: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Chapter 5

Expressions

Page 2: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Day…..

1. Review and Quiz

2. Parts of an Expression

3. Simplifying Expressions

4. Evaluating Expressions

5. Writing Expressions

Page 3: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Day 1

Page 4: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Bell Work

Justify your Response

Page 5: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

I Can….

identify when two expressions are

equivalent.

Page 6: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Properties• Commutative- states that the order in which numbers are added

or multiplied does not change the sum or product. Ex: 4+3=7 or 3+4=7

• Associative- states that the way in which numbers are grouped does not change the sum or product.

Ex: 1 + (2+3) = 6 or (1+2) +3= 6• Identity- states that any number added to 0 or multiplied by 1 will

be itself. Ex: 6 + 0 = 6 or 4 x 1 = 4

• Distributive- is used to simplify or rewrite expressions by multiplying a number outside the parenthesis by each number or term inside the parenthesis.

Ex: 4(2 + 3) = 8 +12

Page 7: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

pOp Quiz

• Take out a pencil and a calculator

• Clear everything else from your desk

Page 8: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Vocabulary•

A combination of variables, numbers, and at least one operation. Ex. 4x + 3

Expressions that have the same value. Ex. 5+9 = 20-6

Numerical Expression -

Algebraic Expressions -

Order of Operations-

Equivalent Expressions-

Evaluate-

Properties -

To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57

A combination of numbers and operations. Ex. 10 + 5 - 8

The rules that tell which operation to preform first when more than one operation is used. (PEMDAS)

Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined.

Page 9: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Vocabulary•

The numerical part of a term followed by a variable.

Part of an algebraic expression that is unchanged by a variable. A numerical term without a variable ( ex. +5 or -10 )

Coefficient-

Constant-

Term- Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 )

A letter or symbol used to represent an unknown number.

Page 10: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Parts of an Expression

Example:

Page 11: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Partner Work

Please clear your desk of everything except for a pencil.

Page 12: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 13: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Day 2

Page 14: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Bell Work

Justify your response.

Page 15: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Homework Check

Page 16: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Properties• Commutative- states that the order in which numbers are added

or multiplied does not change the sum or product. Ex: 4+3=7 or 3+4=7

• Associative- states that the way in which numbers are grouped does not change the sum or product.

Ex: 1 + (2+3) = 6 or (1+2) +3= 6• Identity- states that any number added to 0 or multiplied by 1 will

be itself. Ex: 6 + 0 = 6 or 4 x 1 = 4

• Distributive- is used to simplify or rewrite expressions by multiplying a number outside the parenthesis by each number or term inside the parenthesis.

Ex: 4(2 + 3) = 8 +12

Page 17: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Vocabulary•

A combination of variables, numbers, and at least one operation. Ex. 4x + 3

Expressions that have the same value. Ex. 5+9 = 20-6

Numerical Expression -

Algebraic Expressions -

Order of Operations-

Equivalent Expressions-

Evaluate-

Properties -

To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57

A combination of numbers and operations. Ex. 10 + 5 - 8

The rules that tell which operation to preform first when more than one operation is used. (PEMDAS)

Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined.

Page 18: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Vocabulary•

The numerical part of a term followed by a variable.

Part of an algebraic expression that is unchanged by a variable. A numerical term without a variable ( ex. +5 or -10 )

Coefficient-

Constant-

Term- Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 )

A letter or symbol used to represent an unknown number.

Page 19: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

I Can….

identify parts of an expression using

mathematical terms.

Page 20: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Parts of an Expression

Examples:

Page 21: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Partner Work

Please clear your desk of everything except for a pencil.

Page 22: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Day 3

Page 23: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Bell Work

Justify Your Response

Page 24: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Homework Check

Page 25: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Properties• Commutative- states that the order in which numbers are added

or multiplied does not change the sum or product. Ex: 4+3=7 or 3+4=7

• Associative- states that the way in which numbers are grouped does not change the sum or product.

Ex: 1 + (2+3) = 6 or (1+2) +3= 6• Identity- states that any number added to 0 or multiplied by 1 will

be itself. Ex: 6 + 0 = 6 or 4 x 1 = 4

• Distributive- is used to simplify or rewrite expressions by multiplying a number outside the parenthesis by each number or term inside the parenthesis.

Ex: 4(2 + 3) = 8 +12

Page 26: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Vocabulary•

A combination of variables, numbers, and at least one operation. Ex. 4x + 3

Expressions that have the same value. Ex. 5+9 = 20-6

Numerical Expression -

Algebraic Expressions -

Order of Operations-

Equivalent Expressions-

Evaluate-

Properties -

To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57

A combination of numbers and operations. Ex. 10 + 5 - 8

The rules that tell which operation to preform first when more than one operation is used. (PEMDAS)

Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined.

Page 27: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Vocabulary•

The numerical part of a term followed by a variable.

Part of an algebraic expression that is unchanged by a variable. A numerical term without a variable ( ex. +5 or -10 )

Coefficient-

Constant-

Term- Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 )

A letter or symbol used to represent an unknown number.

Page 28: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

I Can….

combine like terms to simplify expressions.

Page 29: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Combining Like Terms

Examples:

Page 30: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Your Turn….

Take out your marker boards

Page 31: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 32: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Day 4

Page 33: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Bell Work

Justify Your Response

Page 34: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Homework Check

Page 35: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Properties• Commutative- states that the order in which numbers are added

or multiplied does not change the sum or product. Ex: 4+3=7 or 3+4=7

• Associative- states that the way in which numbers are grouped does not change the sum or product.

Ex: 1 + (2+3) = 6 or (1+2) +3= 6• Identity- states that any number added to 0 or multiplied by 1 will

be itself. Ex: 6 + 0 = 6 or 4 x 1 = 4

• Distributive- is used to simplify or rewrite expressions by multiplying a number outside the parenthesis by each number or term inside the parenthesis.

Ex: 4(2 + 3) = 8 +12

Page 36: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Vocabulary•

A combination of variables, numbers, and at least one operation. Ex. 4x + 3

Expressions that have the same value. Ex. 5+9 = 20-6

Numerical Expression -

Algebraic Expressions -

Order of Operations-

Equivalent Expressions-

Evaluate-

Properties -

To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57

A combination of numbers and operations. Ex. 10 + 5 - 8

The rules that tell which operation to preform first when more than one operation is used. (PEMDAS)

Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined.

Page 37: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Vocabulary•

The numerical part of a term followed by a variable.

Part of an algebraic expression that is unchanged by a variable. A numerical term without a variable ( ex. +5 or -10 )

Coefficient-

Constant-

Term- Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 )

A letter or symbol used to represent an unknown number.

Page 38: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

I Can….

evaluate expressions using substitution.

Page 39: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Evaluating Expressions

Example:

Page 40: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Write the Room

Clear your desk of everything except for a

pencil.

Page 41: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 42: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Day 5

Page 43: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Bell Work

Justify Your Response

Page 44: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Homework Check

Page 45: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Vocabulary•

A combination of variables, numbers, and at least one operation. Ex. 4x + 3

Expressions that have the same value. Ex. 5+9 = 20-6

Numerical Expression -

Algebraic Expressions -

Order of Operations-

Equivalent Expressions-

Evaluate-

Properties -

To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57

A combination of numbers and operations. Ex. 10 + 5 - 8

The rules that tell which operation to preform first when more than one operation is used. (PEMDAS)

Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined.

Page 46: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Vocabulary•

The numerical part of a term followed by a variable.

Part of an algebraic expression that is unchanged by a variable. A numerical term without a variable ( ex. +5 or -10 )

Coefficient-

Constant-

Term- Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 )

A letter or symbol used to represent an unknown number.

Page 47: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Mid-Unit Assessment

Please clear your desk of everything except for a pencil

and a calculator.

Page 48: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 49: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Not Used this Week

Page 50: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

No School

Page 51: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Computer Station• www.learnzillion.com (6 minutes per video)• www.tenmarks.com (10 questions per assignment)

Page 52: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Station Rotations

1. Write your exit ticket.

2. Pack up everything but a pencil.

3. You will have 15 minutes to complete each rotation

Page 53: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

1st Rotation

Page 54: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

2nd Rotation

Page 55: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

3rd Rotation

Page 56: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

4th Rotation

Page 57: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Group WorkBefore we begin…….1. Complete an exit ticket.2. Pack up everything except for your

pencil and calculator.3. Sit quietly unit everyone is ready.

Page 58: Chapter 5 Expressions. Day….. 1.Review and QuizReview and Quiz 2.Parts of an ExpressionParts of an Expression 3.Simplifying ExpressionsSimplifying Expressions.

Watch This• ( 5 mins)