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Chapter 5 Expressions

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.

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Chapter 5 Expressions

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  1. Chapter 5Expressions

  2. Day….. • Review and Quiz • Parts of an Expression • Simplifying Expressions • Evaluating Expressions • Writing Expressions

  3. Day 1

  4. Bell Work Justify your Response

  5. I Can…. identify when two expressions are equivalent.

  6. 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

  7. pOp Quiz • Take out a pencil and a calculator • Clear everything else from your desk

  8. Vocabulary • A combination of variables, numbers, and at least one operation. Ex. 4x + 3 Algebraic Expressions - • Expressions that have the same value. • Ex. 5+9 = 20-6 Equivalent Expressions- To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57 Evaluate- Numerical Expression - 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) Order of Operations- Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined. Properties -

  9. Vocabulary Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 ) Term- A letter or symbol used to represent an unknown number. Coefficient- • 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 ) Constant-

  10. Parts of an Expression Example:

  11. Partner Work Please clear your desk of everything except for a pencil.

  12. Wrap it Up • Review • Questions • Exit Tickets

  13. Day 2

  14. Bell Work Justify your response.

  15. Homework Check

  16. 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

  17. Vocabulary • A combination of variables, numbers, and at least one operation. Ex. 4x + 3 Algebraic Expressions - • Expressions that have the same value. • Ex. 5+9 = 20-6 Equivalent Expressions- To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57 Evaluate- Numerical Expression - 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) Order of Operations- Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined. Properties -

  18. Vocabulary Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 ) Term- A letter or symbol used to represent an unknown number. Coefficient- • 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 ) Constant-

  19. I Can…. identify parts of an expression using mathematical terms.

  20. Parts of an Expression Examples:

  21. Partner Work Please clear your desk of everything except for a pencil.

  22. Day 3

  23. Bell Work Justify Your Response

  24. Homework Check

  25. 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

  26. Vocabulary • A combination of variables, numbers, and at least one operation. Ex. 4x + 3 Algebraic Expressions - • Expressions that have the same value. • Ex. 5+9 = 20-6 Equivalent Expressions- To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57 Evaluate- Numerical Expression - 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) Order of Operations- Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined. Properties -

  27. Vocabulary Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 ) Term- A letter or symbol used to represent an unknown number. Coefficient- • 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 ) Constant-

  28. I Can…. combine like terms to simplify expressions.

  29. Combining Like Terms Examples:

  30. Your Turn…. Take out your marker boards

  31. Wrap it Up • Review • Questions • Exit Tickets

  32. Day 4

  33. Bell Work Justify Your Response

  34. Homework Check

  35. 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

  36. Vocabulary • A combination of variables, numbers, and at least one operation. Ex. 4x + 3 Algebraic Expressions - • Expressions that have the same value. • Ex. 5+9 = 20-6 Equivalent Expressions- To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57 Evaluate- Numerical Expression - 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) Order of Operations- Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined. Properties -

  37. Vocabulary Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 ) Term- A letter or symbol used to represent an unknown number. Coefficient- • 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 ) Constant-

  38. I Can…. evaluate expressions using substitution.

  39. Evaluating Expressions Example:

  40. Write the Room Clear your desk of everything except for a pencil.

  41. Wrap it Up • Review • Questions • Exit Tickets

  42. Day 5

  43. Bell Work Justify Your Response

  44. Homework Check

  45. Vocabulary • A combination of variables, numbers, and at least one operation. Ex. 4x + 3 Algebraic Expressions - • Expressions that have the same value. • Ex. 5+9 = 20-6 Equivalent Expressions- To find the value of an algebraic expression by replacing variables with numbers. 10a + 3 when a = 6. 10(6) + 3 = 57 Evaluate- Numerical Expression - 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) Order of Operations- Mathematical statements that are true of any number belonging to the set of numbers for which the properties are defined. Properties -

  46. Vocabulary Each part of an algebraic expression or equation separated by a plus or minus sign. ( ex. 2x, -3, y, +10 ) Term- A letter or symbol used to represent an unknown number. Coefficient- • 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 ) Constant-

  47. Mid-Unit Assessment Please clear your desk of everything except for a pencil and a calculator.

  48. Wrap it Up • Review • Questions • Exit Tickets

  49. Not Used this Week

  50. No School

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