1. Geometry and Measurement

2. What You Will Learn
To draw a line segment parallel to another line segment
To draw a line segment perpendicular to another line segment
To draw a line that divides a line segment in half and is perpendicular to it
To divide an angle in half
To develop and use formulas to calculate the area of triangles and parallelograms.
CHALLENGE
Try to draw what the what you think the first 5 bullets may look like.

3. What You Will Need Geometry Set Pencil Textbook Ruler Protractor
Right Triangle
Pencil
Textbook

4. Video Support Learn Alberta: Working with Angles
Learn Alberta: Working with Angles

5. Review
Line Segment: the part of a line between 2 end points. Line: a line segment with no end points

6. 3.1 Parallel and Perpendicular Line Segments Student Outcome: I can perform geometric constructions.
After this lesson you will be able to…
Draw line segments that are parallel to each other
Draw line segments
that are at right angles to
each other.

7. What Are Line Segments? Parallel Line Segments
Describes lines in the same plane that never cross, or intersect
They are marked using arrows
The perpendicular distance between
line segments must be the same at
each end of the segment.
To create, use a ruler and a right triangle, or paper folding

8. Parallel sides

9. Student Outcome: I will be able to describe different shapes
Parallel: two lines or two sides that are the same distance apart and never meet.
Arrows: show parallel sides
Vertex: the point where sides meet or intersect
Learn Alberta

10. Student Outcome: I will be able to describe different shapes
Parallel: two lines or two sides that are the same distance apart and never meet.
Arrows: show parallel sides (where do the arrows go below)?
Vertex: the point when sides meet or intersect
Learn Alberta - parallel

11. PAGE 84 Let’s us draw parallel line segments
Try to draw and check your drawings.

12. What Are Line Segments? Perpendicular Line Segments
Describes lines that intersect at right angles (90°)
They are marked using a small square
To create use a ruler and a protractor,
or paper folding.

13. Student Outcome: I will be able to describe different shapes
Perpendicular: where a horizontal edge and vertical edge intersect to form a right angle OR
when two sides of any shape intersect to make a right angle
Right Angle: 90’ symbol is a box in the corner
Vertical
Perpendicular side
Vertical side
Perpendicular side
Horizontal
Learn Alberta - Perpendicular

14. Student Outcome: I will be able to describe different shapes
Perpendicular: where a horizontal edge and vertical edge intersect to form a right angle OR
when two sides of any shape intersect to make a right angle
Right Angle: 90’ symbol is a box in the corner
How many perpendiculars do you see in each diagram

15. Student Outcome: I will be able to describe different shapes
Perpendicular: where a horizontal edge and vertical edge intersect to form a right angle
Right Angle: 90’ symbol is a box in the corner
How do you describe a perpendicular using points

16. OnYour Own…
What are 5 examples of parallel line segments in the real world?
What are 5 examples or perpendicular line segments?

17. PAGE 85 Let’s us draw perpendicular line segments
Try to draw and check your drawings.

18. Practice
Pg 87. #5
What are the parallel and perpendicular line segments in the painting.

19. Practice
Pg 87. #5
What are the parallel and perpendicular line segments in the painting.
Segments CD, EF, and GH are parallel.
AB is perpendicular to CD, EF, and GH.

20. Practice
Identify the parallel and perpendicular streets in the diagram.

21. Practice
Identify the parallel and perpendicular streets in the diagram.
Major Street and Centre
Street are parallel
Main Street and North Street
are parallel.
Major Street is perpendicular
to Main Street and North
Street.
Centre Street is perpendicular to Main Street and North Street.

22. On Your Own… Practice and Apply #7, 9, 10, 12, 13, Extend #15, 16
Page 87
Practice and Apply #7, 9, 10, 12, 13,
Extend #15, 16

23. Airport Final Design (minimum requirements)
Four Sets of Parallel lines.(Runways – 1cm wide, Taxi Lanes – 0.3cm wide)
One perpendicular.
One perpendicular bisector
One angle bisector.
One parallelogram.
One triangle.
7. Buildings (Terminal, Maintenance, Control Tower)
8. Colored
9. Straight lines
10. Pencil
11. Creativity

24. Parallel and Perpendicular Line Segments
MATH LINK PAGE 88
Parallel and Perpendicular Line Segments

28. Figure 1. Airport diagram of Boston’s Logan International Airport with Runway Intersection Lights, Takeoff Hold Lights, and Runway Entrance Lights (in red).

29. 3.2 Draw Perpendicular Bisectors

30. On your paper: Use a ruler to draw a 6 cm line segment
Student Outcome: I will understand and be able to draw a perpendicular bisector.
On your paper:
Use a ruler to draw a 6 cm line segment
Label the endpoints A and B.
Fold the piece of paper so that the points A and B lie on top of each other.
Use a ruler to draw a line segment on the crease. Label this line segment CD. Label the point where the two line segments intersect P.
Use a ruler to measure lengths AP and BP. What do you notice?
Use a protractor to measure the 4 angles made by the intersecting line segments. What do you notice about these angles.

31. A Perpendicular Bisector:
Student Outcome: I will understand and be able to draw a perpendicular bisector.
A Perpendicular Bisector:
cuts a line segment in half and is at right angles (90°) to the line segment.
If line segment AB is 2
20cm long where
is the perpendicular
bisector?

32. Example
Pg. 93, #9
In some First Nations communities, fish are dried on a drying rack like the one shown. An extra support is needed for this drying rack to hold all the salmon that were caught. Use what you know about drawing perpendicular bisectors to explain how to do this. Include the lengths shown
in the picture in
your explanation

33. Solution
Cut a support post that is 1.4 m long. To find the halfway point of the top horizontal pole, divide the length of 3 m in half to get 1.5 m. Place the support at this halfway point. Measure a right angle where the top pole and the support meet in order to position the support perpendicular to the top pole.

34. Due Tomorrow for Homework!!
Let’s Practice
Page 92
#4- Trace the lines onto your paper. Use your protractor to measure the correct angles
#6, 7, 8,
Due Tomorrow for Homework!!

35. MATH LINK PAGE 93 Perpendicular Bisector

36. Practical Quiz #1 On a piece of paper
Draw one set of parallel lines 7cm long
(on the front)
2. Draw a 8cm line segment with a 6cm perpendicular on it.
(on the back)

37. Kidport – Measuring Angles
All About Angles
Virtual Protractor
Kidport – Measuring Angles

38. 3.3 Drawing Angle Bisectors

39. Student Outcome: I will understand and be able to draw an
Student Outcome: I will understand and be able to draw an angle bisector.
An angle bisector is a line that divides the angle evenly in terms of degrees.
<ABD = 45’
What is
<DAC = D
45’

40. To divide an angle in half
Student Outcome: I will understand and be able to draw an angle bisector.
To draw a line that divides a line segment in half and is perpendicular to it
To divide an angle in half

41. PAGE 95 Let’s draw angle bisectors
Try to draw and check your drawings.

42. On Your Own… Practice and Apply #6, 7, 8, 9, 12, Extend #13,14, 15
Page 98
Practice and Apply #6, 7, 8, 9, 12,
Extend #13,14, 15

43. MATH LINK PAGE 99 Angle Bisector

44. Student Outcome: I will be able to understand perimeter.
Review
Student Outcome: I will be able to understand perimeter.
How much fence will you need to enclose this baseball field?

45. Student Outcome: I will be able to understand perimeter.
Review
Student Outcome: I will be able to understand perimeter.
Perimeter: the distance around a shape or
the sum of all the sides

46. Student Outcome: I will be able to understand perimeter.
Review
Student Outcome: I will be able to understand perimeter.
How can you figure out these perimeters?

47. Student Outcome: I will be able to understand area.
Review
Student Outcome: I will be able to understand area.
You need a tarp to cover this soccer field. How do you figure this out?

48. Student Outcome I will be able to understand area.
Review
Student Outcome I will be able to understand area.
Area: the amount of surface a shape covers
: it is 2-dimensional - length (l) and width (w)
: measured in square units (cm ²) or (m²)

49. Student Outcome: I will be able to understand area.
Review
Student Outcome: I will be able to understand area.
46 cm
Figure the area for these objects?
50 cm
8 cm
183 cm
6cm
100 cm

50. Student Outcome: I will be able to understand perimeter.
Review
Student Outcome: I will be able to understand perimeter.
46 cm
Figure the perimeter for these objects?
50 cm
8 cm
183 cm
6cm
100 cm

51. Student Outcome: I will be able to model area and perimeter
Geo Boards for Proof
Student Outcome: I will be able to model area and perimeter
What are the perimeters for each rectangle?
What are the areas for each rectangle?
What do you notice?
Length
Width
Area
Perimeter

52. Student Outcome: I will be able to model area and perimeter
Geo Boards for Proof
Student Outcome: I will be able to model area and perimeter
8 cm²
14cm²
18cm²
20cm²
Length
Width
Area
Perimeter
What interpretations can you make based on the chart above?
The rectangles with the least width has the least area.
The rectangle closest in shape to a square has the greatest area.

53. Student Outcome: I will be able to model area and perimeter
Geo Boards for Proof
Student Outcome: I will be able to model area and perimeter
8 cm²
14cm²
18cm²
20cm²
Length
Width
Area
Perimeter 8 1 18 7 2 14 6 3 5 4 20
What interpretations can you make based on the chart above?
The rectangles with the least width has the least area.
The rectangle closest in shape to a square has the greatest area.

54. Area and Perimeter Video ( Learn Alberta)

55. Draw a 60’ angle. Then bisect it.(on the front)
Practical Quiz #2
On a piece of paper
Draw a 60’ angle. Then bisect it.(on the front)
Draw a 8cm line segment with end points labeled A and B Then draw the perpendicular bisector on it with an endpoint labeled C(on the back)

56. 3.4 Area of Parallelogram

57. PAGE 100 Student Outcome: I will be able to solve the area of a parallelogram.
Let’s build a parallelogram
What is the relationship between base (b) and height (h)?

58. Area of a rectangle or square
Area = length x width
A = l x w
Area of a parallelogram
Area = base x height
A = b x h

59. Let’s Practice
Page 105
3a.
3b.

60. Let’s Practice
Page 105
4a.
4b.

61. On Your Own… Practice and Apply #7, 9, 10, 12, 13, 14, 16, 17
Page 105
Practice and Apply #7, 9, 10, 12, 13, 14,
16, 17
Extend #19, 20

62. MATH LINK PAGE 107 Parallelogram

63. 3.5 Area of Triangle

64. PAGE 108 Student Outcome: I will be able to solve the area of a triangle.
Let’s build a triangle
What is the relationship between base (b) height (h) and area?

65. Area of a triangle
Area = (base x height) ÷ 2
Area = (b x h) ÷ 2

66. Let’s Practice
Page 113
4a a.
4b b.

67. On Your Own… Practice and Apply #9, 10, 12, 14, 15, Extend #16, 17, 19
Page 114
Practice and Apply #9, 10, 12, 14, 15,
Extend #16, 17, 19

68. MATH LINK PAGE 115 Triangle

69. Practical Quiz #3 On a piece of paper
Draw a parallelogram with a height of 3cm and a base of 8cm. Solve the area.(on the front)
Draw a triangle with a base of 6cm and a height of 5cm Solve the area.(on the back)

70. On Your Own…
CHAPTER REVIEW
Page #1-17

71. Airport Final Design (minimum requirements)
Four Sets of Parallel lines.(Runways – 1cm wide, Taxi Lanes – 0.3cm wide)
One perpendicular.
One perpendicular bisector
One angle bisector.
One parallelogram.
One triangle.
7. Buildings (Terminal, Maintenance, Control Tower)
8. Colored
9. Straight lines
10. Pencil
11. Creativity

72. LET’S BUILD

73. LET’S BUILD