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MATH 1-23-17Ms. Becker
Warm-Up:
• Write down 2 goals you wish to complete in Unit 5. (Area and Volume)
• When finished, either prepare yourself to correct your test or prepare yourself for taking notes.
Agenda:
• Finish correcting tests
• Unit 5 Notes on Area (Self-Guided)
• Unit 5 Practice on Area
• Review the rest of the week
Unit 5 Notes Overview:
• Calculators
• Area of a Square
• Area of a Rectangle
• Area of a Triangle
• Area of a Trapezoid
• Area of a Composite Figure
Calculators
• You will be allowed to use Calculators for the remainder of the year in my class. Thank you for being patient and courteous when I did not allow the use of calculators. It was for your benefit in the end.
• Please grab a calculator at this time, if you have not already.
AREA OF A SQUARE
Area of a Square:
• Formula: 𝐴 = 𝑠2 {Hint!: Exponents are repeated multiplication }• S = side
• Example {}
• Now let’s practice!
Practice Problem #1:
•𝐴 = 𝑠2inches
Answer to P1:
• A = 49 𝑖𝑛2
Practice Problem #2
•𝐴 = 𝑠2Remember! When multiplying decimals,multiply, then count the number of decimalsin the problem and that’s how manydecimal places go in the product.
Answer to P2:
• A= 1.44 𝑦𝑎𝑟𝑑𝑠2
Practice Problem #3
•𝐴 = 𝑠22
3𝑐𝑚
2
3𝑐𝑚
Don’t forget to simplify!
Answer to P3
•𝐴 =4
9𝑐𝑚2
AREA OF A RECTANGLE:
Area of a Rectangle:
• Formula: A = bh {What operation is between b and h?}• A = area
• B = base
• H = height
• Example: {}
• Now, let’s practice!
Practice Problem #1
𝐴 = 𝑏ℎ
Answer to P1:
• A = 24 𝑦𝑎𝑟𝑑𝑠2
Practice Problem #2
𝐴 = 𝑏ℎ*Remember! When multiplying fractions, convert to an improper fraction and THENmultiply.
Answer to P2:
• A = 42 𝑖𝑛2
Practice Problem #3
𝐴 = 𝑏ℎ
Remember! When multiplying decimals, multiply, then count the number of decimalsin the problem and that’s how many decimal places go in the product.
Answer to P3:
• A = 80.64 𝑐𝑚2
AREA OF A TRIANGLE:
Area of a Triangle:
• Formula: 𝐴 =1
2𝑏ℎ
• A = area
• B = base
• H = height
• Example {}
• Now let’s practice!
Practice Problem #1
•𝐴 =1
2𝑏ℎ
Answer to P1
•𝐴 = 24𝑖𝑛2
Practice Problem #2
•𝐴 =1
2𝑏ℎ
Answer to P2
•𝐴 = 60𝑐𝑚2
Practice Problem #3
•𝐴 =1
2𝑏ℎ
Remember! When multiplying decimals,multiply, then count the number of decimalsin the problem and that’s how manydecimal places go in the product.
Answer to P3:
•𝐴 = 7𝑚𝑚2
AREA OF A TRAPEZOID:
Area of a Trapezoid:
• Formula = 𝐴 =1
2ℎ 𝑏1 + 𝑏2
• A = area
• H = height
• B1 = Base 1
• B2 = Base 2
• Example {}
• Now let’s practice!
Practice Problem #1
•𝐴 =1
2ℎ 𝑏1 + 𝑏2
Meters (m)
Meters (m)
Meters (m)
Answer to P1
•𝐴 = 119𝑚2
Practice Problem #2
•𝐴 =1
2ℎ 𝑏1 + 𝑏2
Remember! When multiplying decimals,multiply, then count the number of decimalsin the problem and that’s how manydecimal places go in the product.
Answer to P2
•𝐴 = 21.25𝑐𝑚2
Practice Problem #3
•𝐴 =1
2ℎ 𝑏1 + 𝑏2
Remember! When multiplying decimals,multiply, then count the number of decimalsin the problem and that’s how manydecimal places go in the product.
Answer to P3:
•𝐴 = 109.18𝑚2
AREA OF A COMPOSITE FIGURE:
Area of a Composite Figure:
• How do you think you would find the area of the figure below given how to find the area of different shapes?
Hint! Try breaking it down into differentshapes that you know how to find the area for.
Area of a Composite Figure:
I would break it down into 3 shapes:
Area of a Composite Figure:
• Now, I would find the lengths that are missing:
2in
2in
Area of a Composite Figure:
• Now, I would find the area of the 3 Shapes
𝐴 = 4 ∗ 3𝐴 = 12𝑖𝑛2
𝐴 = 22
𝐴 = 4𝑖𝑛2
𝐴 = 32
𝐴 = 9 𝑖𝑛2
Area of a Composite Figure:
• Now, I would add up all the areas of the figure.
𝐴 = 12 + 4 + 9𝐴 = 25𝑖𝑛2
Area of a Composite Figure:
• Try this one on your own.
Answer to Practice:
•𝐴 = 99𝑚2
When finished:
• Please place your notes in your binder and study them tonight.
• Thank you!
