Unit 5
Topic/Content
Work
Dec 9
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Introduction to geometry – day 1
Basic concepts, definitions, marking diagrams, types of
angles, polygons and quadrilaterals
 Investigate the sum of the interior and exterior angles
of different polygons
Note: Crossword is for fun!
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
Introduction to Geometry (6
pages)
Investigations in Geometry
(assign as homework)
Dec 10
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Review answers to Investigations in Geometry sheet
Basic Theorems
Find the missing angles with authorities
Parallel line theorem and Isosceles Triangle Theorem
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Basic Theorems
Parallel Line Theorem
Isosceles Triangle Theorem
Geometry (5 pages)
Dec 11

Introduction to Pythagorean Theorem

Pythagorean Theorem Cutouts Activity
Pythagorean Theorem

Dec 14
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Perimeter and area of composite shapes
Distribute EQAO formula sheets as a reference
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EQAO Formula Sheet
Composite shapes
Textbook
o p 432 #1-4, 10, 11
Dec 15

Optimizing area with a fixed perimeter

Relationships Between
Area and Perimeter
Maximizing Rectangular
Areas With 3 Sides
Textbook
o p 487 #1, 3, 5, 6, 11,
12
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Dec 16
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Dec 17
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Surface area and volume of rectangular and triangular
prisms & pyramids
Emphasize formula being area of the base times the
height and (1/3xbxh)

surface area and volume of cylinders and cones
demonstrate the relationship between the shapes
using the geometric solids

o
o
o
Surface Area and Volume
of prisms and pyramids
pg. 441 #1-4, 6-9
Surface Area and Volume
of Cylinders and Cones
pg. 448 6,7
pg 455 #5,9,13
Dec 18

surface area and volume of spheres

Surface Area and Volume
of Spheres
Jan 4

investigation to optimize square based prisms
o minimize surface area
o use centicubes

Textbook Investigation pg
491 #1-6
Textbook
pg 495 #1-3, 5, 7
investigation to optimize square based prisms and
cylinders
o maximize volume
o discuss the relationship d=h for the cylinder
(not in the investigation)
o derive formula for finding side length of the
cube and cylinder given the surface area

Jan 5


o

Textbook Investigation pg
498 Method 1 (#1-5)
Textbook
o pg 501 #1-3, 7
o pg 508 #1-3, 5
o pg 513 #1, 2, 11, 12
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Midpoints and Medians in Triangles
Midpoint of Quadrilaterals
o Optional to use Geometer Sketchpad
Jan 7

Review (Choose questions from Chapters 7 8 and 9)
Jan 8

Test
EQAO

EQAO REVIEW
MULTIPLE CHOICE

EQAO REVIEW
SHORT ANSWER

EXAM REVIEW
3 Days
Jan 6
EXAM

Midpoints and Medians in
Triangles
Midpoint of Quadrilaterals