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Welcome to Algebra 1
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I will be the first to admit, some of the material covered in this class is going to be challenging.  Unless you have studied in the “Pre-Algebra” course, this is probably going to be your first experience with the “abstract” ideas of Algebra. It is essential that you put forth your best efforts, ask thoughtful questions  each step of the way . In this course, we will begin laying the foundation to  your entire mathematics career. How well you do in any other math class may be a  direct reflection of how well you do in this class. Material
We will discuss such things as: The Real Number System, and Properties of Real Numbers.  Material
We will discuss such things as: The Real Number System, and Properties of Real Numbers.  Material Additive Identity -  Additive Inverse -  Multiplicative Identity -  Multiplicative Inverse -  Distributive Property -
We will discuss such things as: The Real Number System, and Properties of Real Numbers.  Material Additive Identity -  Additive Inverse -  Multiplicative Identity -  Multiplicative Inverse -  Distributive Property -
We will discuss such things as: The Real Number System, and Properties of Real Numbers.  Material Additive Identity -  Additive Inverse -  Multiplicative Identity -  Multiplicative Inverse -  Distributive Property -
We will discuss such things as: The Real Number System, and Properties of Real Numbers.  Material Additive Identity -  Additive Inverse -  Multiplicative Identity -  Multiplicative Inverse -  Distributive Property -
We will discuss such things as: The Real Number System, and Properties of Real Numbers.  Material Additive Identity -  Additive Inverse -  Multiplicative Identity -  Multiplicative Inverse -  Distributive Property -
We will discuss such things as: The Real Number System, and Properties of Real Numbers.  Material Additive Identity -  Additive Inverse -  Multiplicative Identity -  Multiplicative Inverse -  Distributive Property -
We will discuss such things as: Variables and Expressions. Material
We will discuss such things as: Variables and Expressions. Material A “variable” is simply a symbol that we put in the place of a number. It can  change  (or vary), depending on the situation.
We will discuss such things as: Variables and Expressions. Material A “variable” is simply a symbol that we put in the place of a number. It can  change  (or vary), depending on the situation. Example:  Your dad is 24 years older than you.  You can use a  variable to write an expression that represents his age at any time.
We will discuss such things as: Variables and Expressions. Material A “variable” is simply a symbol that we put in the place of a number. It can  change  (or vary), depending on the situation. Example:  Your dad is 24 years older than you.  You can use a  variable to write an expression that represents his age at any time.
We will discuss such things as: Variables and Expressions. Material A “variable” is simply a symbol that we put in the place of a number. It can  change  (or vary), depending on the situation. Example:  Your dad is 24 years older than you.  You can use a  variable to write an expression that represents his age at any time.
We will discuss such things as: Variables and Expressions. Material A “variable” is simply a symbol that we put in the place of a number. It can  change  (or vary), depending on the situation. Example:  Your dad is 24 years older than you.  You can use a  variable to write an expression that represents his age at any time. What is your age?  Will it ever change?
We will discuss such things as: The Cartesian Coordinate System. Material We will learn how to locate points on the coordinate plane. Then we’ll quickly see patterns that form lines, or linear patterns.
We will discuss such things as: Linear Equations and Inequalities  Material With Inequalities, one side of the  line is the solution set, and the other side of the line is not. Pretty simple, huh?
We will study several other topics as well but, that’s enough to get us started for now. Material
Prerequisites are the things you should know before  entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions!
Prerequisites are the things you should know before  entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions.
Prerequisites are the things you should know before  entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
Prerequisites are the things you should know before  entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
Prerequisites are the things you should know before  entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
Prerequisites are the things you should know before  entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
Prerequisites are the things you should know before  entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
Prerequisites are the things you should know before  entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
Prerequisites are the things you should know before  entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
Prerequisites are the things you should know before  entering a class (situation). Prerequisites You will need to know the multiplication tables almost instantaneously (  without a calculator ).
Prerequisites are the things you should know before  entering a class (situation). Prerequisites You will need to know the multiplication tables almost instantaneously (  without a calculator ). I suggest you study if you do not know it well already.
Prerequisites are the things you should know before  entering a class (situation). Prerequisites You will need to know the multiplication tables almost instantaneously (  without a calculator ). I suggest you study if you do not know it well already. Along this same idea, you should be able to recognize the square numbers, 1 – 13, almost as soon as you see  them.
Prerequisites are the things you should know before  entering a class (situation). Prerequisites 1 X 1 =  2 X 2 =  3 X 3 =  4 X 4 =  5 X 5 =  6 X 6 =  7 X 7 =  8 X 8 =  9 X 9 =  10 X 10 =  11 X 11 =  12 X 12 =  13 X 13 =  Square Numbers You Need To Know
Prerequisites are the things you should know before  entering a class (situation). Prerequisites 1 X 1 =  2 X 2 =  3 X 3 =  4 X 4 =  5 X 5 =  6 X 6 =  7 X 7 =  8 X 8 =  9 X 9 =  10 X 10 =  11 X 11 =  12 X 12 =  13 X 13 =  1 4 9 16 25 36 49 64 81 100 121 144 169 Square Numbers You Need To Know
Prerequisites are the things you should know before  entering a class (situation). Prerequisites (Some) Vocabulary I expect you to know, and use  immediately:
Prerequisites are the things you should know before  entering a class (situation). Prerequisites ,[object Object],[object Object],[object Object]
Prerequisites are the things you should know before  entering a class (situation). Prerequisites ,[object Object],[object Object],[object Object],distance around an object.
Prerequisites are the things you should know before  entering a class (situation). Prerequisites ,[object Object],[object Object],[object Object],distance around an object. number of square units contained by an object, surface.
Prerequisites are the things you should know before  entering a class (situation). Prerequisites ,[object Object],[object Object],[object Object],distance around an object. number of square units contained by an object, surface. Calculate the perimeter and area of the given rectangle: 7 (units) 3 (units)
Prerequisites are the things you should know before  entering a class (situation). Prerequisites ,[object Object],[object Object],[object Object],distance around an object. number of square units contained by an object, surface. Calculate the perimeter and area of the given rectangle: Perimeter =  20  units 7 (units) 3 (units)
Prerequisites are the things you should know before  entering a class (situation). Prerequisites ,[object Object],[object Object],[object Object],distance around an object. number of square units contained by an object, surface. Calculate the perimeter and area of the given rectangle: Perimeter =  20  units Area =  21 units 2 7 (units) 3 (units)
My expectations are very simple: Expectations
[object Object],[object Object],Expectations
[object Object],[object Object],[object Object],Expectations
[object Object],[object Object],[object Object],[object Object],Expectations
[object Object],[object Object],[object Object],[object Object],[object Object],Expectations
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Expectations
Everyone asks about “Extra – Credit” at one time or another. So, let’s define what extra-credit  IS , and  Extra – Credit
Everyone asks about “Extra – Credit” at one time or another. So, let’s define what extra-credit  IS , and  Extra – Credit ,[object Object],Extra-Credit  IS:
Everyone asks about “Extra – Credit” at one time or another. So, let’s define what extra-credit  IS , and  Extra – Credit ,[object Object],[object Object],Extra-Credit  IS:
Everyone asks about “Extra – Credit” at one time or another. So, let’s define what extra-credit  IS , and  Extra – Credit ,[object Object],[object Object],[object Object],Extra-Credit  IS:
Everyone asks about “Extra – Credit” at one time or another. So, let’s define what extra-credit  IS , and  Extra – Credit ,[object Object],[object Object],[object Object],[object Object],Extra-Credit  IS:
Everyone asks about “Extra – Credit” at one time or another. So, let’s define what extra-credit  IS, and  what extra-credit  IS NOT . Extra – Credit
Everyone asks about “Extra – Credit” at one time or another. So, let’s define what extra-credit  IS, and  what extra-credit  IS NOT . Extra – Credit ,[object Object],Extra-Credit  IS NOT:
Everyone asks about “Extra – Credit” at one time or another. So, let’s define what extra-credit  IS, and  what extra-credit  IS NOT . Extra – Credit ,[object Object],[object Object],Extra-Credit  IS NOT:
Everyone asks about “Extra – Credit” at one time or another. Ideas I have for Extra-Credit: Extra – Credit
[object Object],[object Object],[object Object],[object Object],Extra – Credit
[object Object],[object Object],[object Object],[object Object],[object Object],Extra – Credit
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Extra – Credit
Wisdom Ben Franklin was once asked what good a new invention was, he responded:
Wisdom Ben Franklin was once asked what good a new invention was, he responded: “ What good is a newborn baby?”
Wisdom Ben Franklin was once asked what good a new invention was, he responded: “ What good is a newborn baby?” Translation:
Wisdom Ben Franklin was once asked what good a new invention was, he responded: “ What good is a newborn baby?” Translation: What good is mathematics?
Wisdom Ben Franklin was once asked what good a new invention was, he responded: “ What good is a newborn baby?” Translation: What good is mathematics? In an immature state, none!
Wisdom Ben Franklin was once asked what good a new invention was, he responded: “ What good is a newborn baby?” Translation: What good is mathematics? In an immature state, none! If nurtured and developed properly, there is no limitation.
Wisdom Ben Franklin was once asked what good a new invention was, he responded: “ What good is a newborn baby?” Translation: What good is mathematics? In an immature state, none! If nurtured and developed properly, there is no limitation. “ If a man empties his purse into his head, no one can take it away from him. An investment of knowledge always pays the best interest.” Benjamin Franklin

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Introduction To Algebra 1

  • 2.
  • 3. I will be the first to admit, some of the material covered in this class is going to be challenging. Unless you have studied in the “Pre-Algebra” course, this is probably going to be your first experience with the “abstract” ideas of Algebra. It is essential that you put forth your best efforts, ask thoughtful questions each step of the way . In this course, we will begin laying the foundation to your entire mathematics career. How well you do in any other math class may be a direct reflection of how well you do in this class. Material
  • 4. We will discuss such things as: The Real Number System, and Properties of Real Numbers. Material
  • 5. We will discuss such things as: The Real Number System, and Properties of Real Numbers. Material Additive Identity - Additive Inverse - Multiplicative Identity - Multiplicative Inverse - Distributive Property -
  • 6. We will discuss such things as: The Real Number System, and Properties of Real Numbers. Material Additive Identity - Additive Inverse - Multiplicative Identity - Multiplicative Inverse - Distributive Property -
  • 7. We will discuss such things as: The Real Number System, and Properties of Real Numbers. Material Additive Identity - Additive Inverse - Multiplicative Identity - Multiplicative Inverse - Distributive Property -
  • 8. We will discuss such things as: The Real Number System, and Properties of Real Numbers. Material Additive Identity - Additive Inverse - Multiplicative Identity - Multiplicative Inverse - Distributive Property -
  • 9. We will discuss such things as: The Real Number System, and Properties of Real Numbers. Material Additive Identity - Additive Inverse - Multiplicative Identity - Multiplicative Inverse - Distributive Property -
  • 10. We will discuss such things as: The Real Number System, and Properties of Real Numbers. Material Additive Identity - Additive Inverse - Multiplicative Identity - Multiplicative Inverse - Distributive Property -
  • 11. We will discuss such things as: Variables and Expressions. Material
  • 12. We will discuss such things as: Variables and Expressions. Material A “variable” is simply a symbol that we put in the place of a number. It can change (or vary), depending on the situation.
  • 13. We will discuss such things as: Variables and Expressions. Material A “variable” is simply a symbol that we put in the place of a number. It can change (or vary), depending on the situation. Example: Your dad is 24 years older than you. You can use a variable to write an expression that represents his age at any time.
  • 14. We will discuss such things as: Variables and Expressions. Material A “variable” is simply a symbol that we put in the place of a number. It can change (or vary), depending on the situation. Example: Your dad is 24 years older than you. You can use a variable to write an expression that represents his age at any time.
  • 15. We will discuss such things as: Variables and Expressions. Material A “variable” is simply a symbol that we put in the place of a number. It can change (or vary), depending on the situation. Example: Your dad is 24 years older than you. You can use a variable to write an expression that represents his age at any time.
  • 16. We will discuss such things as: Variables and Expressions. Material A “variable” is simply a symbol that we put in the place of a number. It can change (or vary), depending on the situation. Example: Your dad is 24 years older than you. You can use a variable to write an expression that represents his age at any time. What is your age? Will it ever change?
  • 17. We will discuss such things as: The Cartesian Coordinate System. Material We will learn how to locate points on the coordinate plane. Then we’ll quickly see patterns that form lines, or linear patterns.
  • 18. We will discuss such things as: Linear Equations and Inequalities Material With Inequalities, one side of the line is the solution set, and the other side of the line is not. Pretty simple, huh?
  • 19. We will study several other topics as well but, that’s enough to get us started for now. Material
  • 20. Prerequisites are the things you should know before entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions!
  • 21. Prerequisites are the things you should know before entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions.
  • 22. Prerequisites are the things you should know before entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
  • 23. Prerequisites are the things you should know before entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
  • 24. Prerequisites are the things you should know before entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
  • 25. Prerequisites are the things you should know before entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
  • 26. Prerequisites are the things you should know before entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
  • 27. Prerequisites are the things you should know before entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
  • 28. Prerequisites are the things you should know before entering a class (situation). Prerequisites I expect you to become very comfortable with manipulating, (add, subtract, multiply & divide) fractions! I will consistently assign and generate problems that involve fractions. Try this one!
  • 29. Prerequisites are the things you should know before entering a class (situation). Prerequisites You will need to know the multiplication tables almost instantaneously ( without a calculator ).
  • 30. Prerequisites are the things you should know before entering a class (situation). Prerequisites You will need to know the multiplication tables almost instantaneously ( without a calculator ). I suggest you study if you do not know it well already.
  • 31. Prerequisites are the things you should know before entering a class (situation). Prerequisites You will need to know the multiplication tables almost instantaneously ( without a calculator ). I suggest you study if you do not know it well already. Along this same idea, you should be able to recognize the square numbers, 1 – 13, almost as soon as you see them.
  • 32. Prerequisites are the things you should know before entering a class (situation). Prerequisites 1 X 1 = 2 X 2 = 3 X 3 = 4 X 4 = 5 X 5 = 6 X 6 = 7 X 7 = 8 X 8 = 9 X 9 = 10 X 10 = 11 X 11 = 12 X 12 = 13 X 13 = Square Numbers You Need To Know
  • 33. Prerequisites are the things you should know before entering a class (situation). Prerequisites 1 X 1 = 2 X 2 = 3 X 3 = 4 X 4 = 5 X 5 = 6 X 6 = 7 X 7 = 8 X 8 = 9 X 9 = 10 X 10 = 11 X 11 = 12 X 12 = 13 X 13 = 1 4 9 16 25 36 49 64 81 100 121 144 169 Square Numbers You Need To Know
  • 34. Prerequisites are the things you should know before entering a class (situation). Prerequisites (Some) Vocabulary I expect you to know, and use immediately:
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  • 41. My expectations are very simple: Expectations
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  • 47. Everyone asks about “Extra – Credit” at one time or another. So, let’s define what extra-credit IS , and Extra – Credit
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  • 52. Everyone asks about “Extra – Credit” at one time or another. So, let’s define what extra-credit IS, and what extra-credit IS NOT . Extra – Credit
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  • 55. Everyone asks about “Extra – Credit” at one time or another. Ideas I have for Extra-Credit: Extra – Credit
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  • 59. Wisdom Ben Franklin was once asked what good a new invention was, he responded:
  • 60. Wisdom Ben Franklin was once asked what good a new invention was, he responded: “ What good is a newborn baby?”
  • 61. Wisdom Ben Franklin was once asked what good a new invention was, he responded: “ What good is a newborn baby?” Translation:
  • 62. Wisdom Ben Franklin was once asked what good a new invention was, he responded: “ What good is a newborn baby?” Translation: What good is mathematics?
  • 63. Wisdom Ben Franklin was once asked what good a new invention was, he responded: “ What good is a newborn baby?” Translation: What good is mathematics? In an immature state, none!
  • 64. Wisdom Ben Franklin was once asked what good a new invention was, he responded: “ What good is a newborn baby?” Translation: What good is mathematics? In an immature state, none! If nurtured and developed properly, there is no limitation.
  • 65. Wisdom Ben Franklin was once asked what good a new invention was, he responded: “ What good is a newborn baby?” Translation: What good is mathematics? In an immature state, none! If nurtured and developed properly, there is no limitation. “ If a man empties his purse into his head, no one can take it away from him. An investment of knowledge always pays the best interest.” Benjamin Franklin