Optimization Assignment: A Pool Walkway
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You want to construct a rectangular pool in your backyard with a water surface area of 60 m2.
The pool will be built in the back corner of your ya
Angle Property Notes
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An acute angle is an angle
that is less more that 0 and less than 90.
A right angle is an angle that is 90.
An obtuse angle is an angle
greater than 90 and less than
MFM1P
Name: _
Math Diagnostic Assessment 2
Solve the Following Integers
1. (+22) + (- 7)
2. (-15) + (-5)
3. (-24) (-7)
4. (-16) (+2)
Write each Standard Form Expression in Exponent Form
1. 4 x 4 x 4 =
Composite Perimeter and Area of Figures with Circles
Note
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Example
Find the perimeter of the composite figure.
Solution:
22 cm
Example
Find the area of the composite figure.
Solution:
22
Parallel Lines and Transversals
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Parallel lines are lines in the same plane that do not intersect.
A transversal is a line crossing two or more lines.
Corresponding Angles
If two parallel
Triangle Types and Properties
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Date:_
Sum of a Triangle
The angles in a triangle add up to 180
Scalene Triangle
Properties
1. no sides equal
2. no angles equal
Isosceles Triangle
Properties
1. t
Composite Perimeter and Area of Figures with Circles
Note
Name:_
Date:_
Example
Find the perimeter of the composite figure.
Solution:
22 cm
Example
Find the area of the composite figure.
Solution:
22
Volume of Prisms and Cylinders Note
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Volume is the amount of space a figure occupies. The volume of an object is the
number of cube units required to fill a space. Volume is a three-dimen
Quadrilateral Types and Properties
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A quadrilateral is a figure with FOUR sides.
Examples of a quadrilateral are shown below:
rectangle
parallelogram
trapezoid
square
Interior Angles of a
Optimization Quiz
/12 marks
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1. Which of the following would give a perimeter of 205 m? (1 mark)
a. l = 105 m
w = 100 m
b.
l = 55 m
w = 50 m
c. l = 75 m
w = 27 m
d.
l = 60 m
w = 42.5 m
2.
Quadratic Relation Assignment
Home Run Derby
Name:_
Data are shown below for three players at a recent minor league home run hitting contest.
Juan
The ball followed a path modeled by the equation h =
Graphing and Analyzing a Quadratic Relations Using TI-83
The following are the key strokes and screen shots that will show you how to: 1) Graph a
quadratic; 2) Find the y-intercept; 3) Find x-intercep
Worksheet: Quadratic Relations. Rates of Change.
Name:_
1. Make a table of values for each relation. Use the table to determine if the relation
quadratic. Graph each relation.
a)
y = x2 6x + 8
x
0
1
2
The Primary Trigonometric Ratios Word Problems
A. Determining the measures of the sides and angles of right triangles using the primary ratios
When we want to measure the height of an inaccessible obj
Unit6ExploeQuadratics.notebook
November18,2013
ExploreQuadraticRelations
y=(x4)2+1
y=2x+1
x
x
y
y
Unit6ExploeQuadratics.notebook
TheformulafortheareaofacircleisA= r2.
ristheradiusofthecircle.
Findthea
Worksheet: Standard and Factored Forms of Quadratic Relations
Name:_
1.
The relation is given in standard form:
y = x2 + x 6
Change it into factored form:
Find zeros:
Find the horizontal coordinate fo
FOIL Rule to Multiply Binomials:
Example 1: (2x + 3)(3x 1)
The following steps demonstrate how to use FOIL on this multiplication problem.
1.
Multiply the first term of each binomial together.
2.
Mult
Unit 4 Review
Short Answer
1. Solve 5x + 4 = 24 using algebra.
2. A baby pool holds 200 L of water. It is leaking at a constant rate of 10 L per minute. How much water will be
left in the pool after 1