Lesson #4 title: PART 4 = Calculating P and A of rectangles by MANIPULATING the data
Date:
THROUGH-LINE: Beauty – creating
PERIMETER becomes ‘beautiful’ when it can be thought of as the total distance around a lake in summer; AREA becomes
‘beautiful’ when it can be thought of as the size of a blanket spread out for a summer picnic; and VOLUME becomes ‘beautiful’
when it can be thought of as the amount of space (how much food) inside that picnic basket (P = 1-D  A = 2-D  V = 3-D)
OUTCOMES:
1. Use a generalized formula for determining the area of any rectangle then solve for A.
MATERIAL NEEDED: highlighters, pencil, blue pen, calculator
Example #1: (Obtained from Math6 Nov 2010)
Calculate the AREA of this polygon. Each
square = 5 cm2.
Formula: A =
Final answer:
Calculate the PERIMETER of this polygon
Final answer:
Example #2: (Obtained from Math6 Nov 2010)
Eleven (11) tiles were used to create this shape.
Calculate the PERIMETER and
the AREA of this polygon.
Final answer: P =
Final answer: A =
Example #3: (Obtained from Math6 Pilot 2010)
Calculate the AREA of the GEOBOARD and EACH of the 4 shapes.
Formula for A (geoboard) =
Final answer:
A of shape F (no equation, just solve) =
A of shape G (no equation, just solve) =
A of shape H (no equation, just solve) =
A of shape I (no equation, just solve) =
Example #4: (Obtained from Math6 A.H.2010)
Final answer: So,
more square tiles are
needed to cover ½ of
area.
Calculate the AREA of the
entire rectangle.
Formula: A =
L4(3)
YOUR TURN 
#1:
What is the total area of the
display board?
Formula: A =
FINAL ANSWER:
What is PERIMETER of the
ENTIRE display board? LABEL
each outer edge on the diagram
(NO equation needed. Just
solve).
FINAL ANSWER:
#2: (Obtained from Math6 PAT2008)
Calculate the AREA of the NEW rectangle.
Formula: A =
FINAL ANSWER:
L4(4)
#3: (Obtained from Math6 PAT 2013)
CALCULATE the perimeter of the SHADED TRIANGLE (no equation needed. Just solve).
Final answer:
#4: (Obtained from Math6 PAT 2008)
Jessie drew the following shaded shape on grid paper.(not drawn to scale).
If the area of the shaded shape is 32 cm2, then what is the area of the unshaded part of
the grid? (no equation needed. Just solve.)
FINAL ANSWER:
L4(5)
#5: (Obtained from Math6 PAT 2006)
#6: (Obtained from Math6 Pilot 2010)
A thank-you card and four envelopes are shown (not drawn to scale).
How many of the envelopes are large
enough to contain the thank-you card if
the card is folded in half along the
dotted line as shown in the diagram?
FINAL ANSWER:
L4(6)
#7: (Obtained from Math6 Pilot 2010)
What is the area of the entire diagram?
Formula:
FINAL ANSWER:
What is the perimeter of the entire diagram?
FINAL ANSWER:
How many lines of symmetry does the entire diagram have?
Colour each vertex purple.
Outline three horizontal lines in orange.
Outline two perpendicular lines in green.
What percent is the lightest shaded (yellow)?
FINAL ANSWER:
#8:
What is the area for the dog
to run and play? (no
equation needed.)
FINAL ANSWER:
What is the perimeter of
the fence (no equation
needed.)
FINAL ANSWER: