Lesson 3: Surface Area of Other Composite Shapes
From lesson 1 remember the surface area of prisms and cylinders is the sum of all visible
sides.
Example 1: Determine the surface area of this object.
Example 2: Two round cakes have diameters of 14 cm and
Lesson 6: Square Roots and Perfect Squares
A living room is a square with area 400 m2. What is the side length of the room?
To find this we can take the square root of the area. The same can be done if the rooms
area was a fraction but we need to determin
Lesson 1: What is a Power?
2x
3
n
If n is a positive integer a = a a a. a n times.
Exponential Form
Repeated Multiplication Form
Example 1 Write the following in exponential form.
a) 7 x 7 x 7 x 7 x 7
(b) 8 x 8 x 8
(c) 14 x 14 x 14 x 14
Example 2 Write th
Lesson 1: Scale Diagrams, Enlargements, and Reductions
A diagram that is an enlargement or a reduction of another diagram is called a scale
diagram. Here is a letter F and a scale diagram of it.
Each length on the original diagram is multiplied by 2.5 to
Lesson 3: Surface Area of Composite Shapes
An object that is made up of, or composed, of other objects is called a composite object.
To determine the surface area of a composite object we can draw net drawings of all
possible views of an object.
Example 1
Lesson 1: Modelling Polynomials
A polynomial is one term or the sum or difference of terms whose variables have wholenumber exponents.
Terms are numbers, variables, or the product of numbers and variables. The coefficients
of a polynomial are the numbers
Lesson 1: Review of Surface Area
The surface area of a shape is the area of all visible surfaces. There are several shapes we
can determine the surface area of.
A. Surface Area of Prisms
Find the surface area of the following shapes.
1. Rectangular Prism
7
Inscribed Quadrilateral Properties
V {Duo 1
Inscribed Quadrilateral: A four sided polygon whose vertices all'lgéh the circumference
of a circle. I
A. Draw four points on each circle and connect them to form two inscribed quadrilaterals
B. Record the an
' Angles in a Circle: Inscribed & Central Angles
An inscribed angle has a vertex on the circle and both endpoints on the circle. A central
angle has its vertex at the center of the circle.
A. Draw a single chord of any size.
B. Draw winscribed angles comi
Lesson 2: Similar Polygons and Triangles
A polygon is a closed shape that consists of line segments. For example, triangles and
squares are polygons.
When one polygon is an enlargement or reduction of another polygon, we say the
polygons are similar. Simi