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Chapter 5 Expressions

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Chapter 5 Expressions. Day…. Review and Quiz Parts of an Expression Simplifying Expressions Evaluating Expressions Writing Expressions. Day 1. Bell Work. Justify your Response. I Can…. identify when two expressions are equivalent . Properties. - PowerPoint PPT Presentation
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Chapter 5 Expressions
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Page 1: Chapter 5 Expressions

Chapter 5

Expressions

Page 2: Chapter 5 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

Page 4: Chapter 5 Expressions

Bell Work

Justify your Response

Page 5: Chapter 5 Expressions

I Can….

identify when two expressions are

equivalent.

Page 6: Chapter 5 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

pOp Quiz

• Take out a pencil and a calculator

• Clear everything else from your desk

Page 8: Chapter 5 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

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

Parts of an Expression

Example:

Page 11: Chapter 5 Expressions

Partner Work

Please clear your desk of everything except for a pencil.

Page 12: Chapter 5 Expressions

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 13: Chapter 5 Expressions

Day 2

Page 14: Chapter 5 Expressions

Bell Work

Justify your response.

Page 15: Chapter 5 Expressions

Homework Check

Page 16: Chapter 5 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

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

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

I Can….identify parts of an expression using

mathematical terms.

Page 20: Chapter 5 Expressions

Parts of an Expression

Examples:

Page 21: Chapter 5 Expressions

Partner Work

Please clear your desk of everything except for a pencil.

Page 22: Chapter 5 Expressions

Day 3

Page 23: Chapter 5 Expressions

Bell Work

Justify Your Response

Page 24: Chapter 5 Expressions

Homework Check

Page 25: Chapter 5 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

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

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

I Can….combine like terms to simplify expressions.

Page 29: Chapter 5 Expressions

Combining Like Terms

Examples:

Page 30: Chapter 5 Expressions

Your Turn….

Take out your marker boards

Page 31: Chapter 5 Expressions

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 32: Chapter 5 Expressions

Day 4

Page 33: Chapter 5 Expressions

Bell Work

Justify Your Response

Page 34: Chapter 5 Expressions

Homework Check

Page 35: Chapter 5 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

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

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

I Can….evaluate expressions

using substitution.

Page 39: Chapter 5 Expressions

Evaluating Expressions

Example:

Page 40: Chapter 5 Expressions

Write the Room

Clear your desk of everything except for a

pencil.

Page 41: Chapter 5 Expressions

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 42: Chapter 5 Expressions

Day 5

Page 43: Chapter 5 Expressions

Bell Work

Justify Your Response

Page 44: Chapter 5 Expressions

Homework Check

Page 45: Chapter 5 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

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

Mid-Unit Assessment

Please clear your desk of everything except for a pencil

and a calculator.

Page 48: Chapter 5 Expressions

Wrap it Up

• Review

• Questions

• Exit Tickets

Page 49: Chapter 5 Expressions

Not Used this Week

Page 50: Chapter 5 Expressions

No School

Page 51: Chapter 5 Expressions

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

Page 52: Chapter 5 Expressions

Station Rotations1. 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

1st Rotation

Page 54: Chapter 5 Expressions

2nd Rotation

Page 55: Chapter 5 Expressions

3rd Rotation

Page 56: Chapter 5 Expressions

4th Rotation

Page 57: Chapter 5 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

Watch This• ( 5 mins)


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