Foundations and Pre-Calculus 10
1.1 Imperial Measures of Length
In Canada we use a system of measurement called the _ system. Some
examples of units of measure in the metric system are:
However, many manufacturing sectors and businesses still use the _
sy
Foundations and Pre-Calculus 10
1.6 Surface Area and Volume of a Sphere
A _ is the set of points in space that are the same distance
from a fixed point, which is the center. A line segment that joins the center to any
point on the sphere is the _. A line
3.2 Perfect Squares, Perfect Cubes, and Their Roots
Perfect square:
Illustrate the perfect squares 1 to 25.
Square root:
Ex. 1: Determine the square root of 1296.
Perfect cube:
Cube root:
Ex. 2: Determine the cube root of 1728
Another way to write the que
4.2 Irrational Numbers
Irrational number:
Determine which of the following numbers are irrational:
100
9
64
0.25
1
3
0.24
0.82
8
9
5
6
2
Together rational and irrational numbers form the set of real numbers. This is how these number
systems are related:
E
3.5 Polynomials in the Form x2+bx+c
In this section we will multiply binomials (expand) to find they result in trinomials and factor
trinomials into two binomials. Remember: Factoring and expanding are
processes. First well look at the forward direction o
3.3 Common Factors of a Polynomial
Polynomial:
Examples of:
binomial:
monomial:
trinomial:
Remember: You can only add/subtract like terms.
Factoring and expanding are inverse processes.
In Arithmetic
In Algebra
Modeling with algebra tiles:
What expression
Foundations and Pre-Calculus 10
1.4 Surface Areas of Right Pyramids and Right Cones
A _ is a 3-dimensional shape that has triangular faces and
a base that is a polygon. The shape of the polygon determines the name of the
pyramid. The triangular faces meet
Foundations and Pre-Calculus 10
2.6 Applying the Trigonometric Ratios
Solving a triangle means to determine the measures of all the _
and the _ in the triangle.
We can use any of the three primary trigonometric ratios to do this.
sin A=_; cos A =_; tan A
Foundations and Pre-Calculus 10
2.1 The Tangent Ratio
We name the sides of a right triangle in relation to one of its acute (less than 90)
angles. The side that is across from the right angle is the hypotenuse and it is
always the longest side. The other
Foundations and Pre-Calculus 10
1.5 Volumes of Right Pyramids and Right Cones
Volume of a Right Prism
Volume of a Cylinder
Prior Learning: Determine the volume of the following objects:
(a) right prism
(b) cylinder
Constructing Your Understanding
Predicti
Foundations and Pre-Calculus 10
2.4-2.5 The Sine and Cosine Ratios
Constructing Your Understanding
A. Examine the nested right triangles below.
A is common to each triangle. How are the other acute angles in each
triangle related? _
How do you know? _
Foundations and Pre-Calculus 10
2.2 Using the Tangent Ratio to Calculate Lengths
Direct measurementuse _ to
determine a length or angle in a polygon
Indirect measurementuse _
to calculate a length or an angle
The tangent ratio is a powerful tool we can
Foundations and Pre-Calculus 10
1.3 Relating SI and Imperial Units
In Canada we use a system of measurement called the SI system. The SI system of
measures is based on powers of _; the fundamental unit: of length is the
_ (
); of mass is the _ (
_ (
); an
Foundations and Pre-Calculus 10
2.7 Solving Problems Involving More than One Right Triangle
Example #1: Calculate the length of to the nearest tenth of a centimetre
Problem:
Solution:
Example #2: Determine the height of the taller building to the nearest