Page 31 A B C D E The following figures above all have the same area, but may have different perimeters. Which of the figures has the smallest perimeter?

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Presentation transcript:

Page 31 A B C D E The following figures above all have the same area, but may have different perimeters. Which of the figures has the smallest perimeter? Describe the difference between AREA and PERIMETER of a given shape.

Page 31 How many sides make up the perimeter of the triangle? How many sides make up the perimeter of the square?

(2x) + (2x) + (x – 8) (x + 2) + (x + 2) + (x + 2) + (x + 2) Page 31 Write an expression for the perimeter of the triangle. Write an expression for the perimeter of the square. (2x) + (2x) + (x – 8) Note: There are multiple ways that you can write the equations without changing their meaning. (x + 2) + (x + 2) + (x + 2) + (x + 2)

5x – 8 4(x+2)  4x + 8 Page 31 (2x) + (2x) + (x – 8) Simplify your expression: (2x) + (2x) + (x – 8) 5x – 8 (x + 2) + (x + 2) + (x + 2) + (x + 2) 4(x+2)  4x + 8

Page 31 Triangle Square 5x – 8 = 4x + 8 Find the value of x that makes the expressions equivalent in value to each other.

Page 31 Zero Positive Negative Positive Positive Positive Zero

Page 32 Which equations appear to be very difficult to solve? Which equations do not appear to be very difficult to solve?

Page 32  Least difficult to solve: ______ , ______ , and ______. Most difficult to solve: ______ , ______ , and ______. Begin by simplifying each side of the equation.

Page 34 Step 1: Simplify each side of the equation by combining like terms. Step 2: Solve for the value of the given variable.

Page 34 Step 1: Simplify each side of the equation by combining like terms. Step 2: Solve for the value of the given variable.