Optimization Assignment: A Pool Walkway
Name:_
Date:_
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 yard. You want to minimize the amount of
fencing you need
Angle Property Notes
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Date:_
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
180.
A straight Angle is an angle that is 180.
Complem
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 =
x6x6x6=
2. 3 x 3 x 3 x 3 x 3 =
3. 5 x 5 =
4. 6
Write e
Composite Perimeter and Area of Figures with Circles
Note
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Date:_
Example
Find the perimeter of the composite figure.
Solution:
22 cm
Example
Find the area of the composite figure.
Solution:
22 cm
1.
Find the perimeter and area of the following figu
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 lines are cut by a transversal, then each pair of corr
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. two sides equal
2. angles opposite equal sides are equal
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 cm
1.
Find the perimeter and area of the following figu
Volume of Prisms and Cylinders Note
Name:_
Date:_
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-dimensional
measurement, which means the units will be in m
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 Quadrilateral
The sum of the interior angles of any qu
Optimization Quiz
/12 marks
Name:_
Date:_
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.
(1 mark)
3. The band has 100 m of fencing for the dayc
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 = -0.001d2 + 0.5d +2.5
Where h is a height of the ball in
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-intercept(s), i.e. real zeros, if any; and 4) Find
the minimum
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
3
4
5
6
y
b)
y = x2 + 7x +12
x
-7
-6
-5
-4
-3
-2
-1
0
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 object like a tree, pole, building, or cliff, we can utili
Unit6ExploeQuadratics.notebook
November18,2013
ExploreQuadraticRelations
y=(x4)2+1
y=2x+1
x
x
y
y
Unit6ExploeQuadratics.notebook
TheformulafortheareaofacircleisA= r2.
ristheradiusofthecircle.
Findtheareaoffivecircleswithradii1to5cm.
Recordtheradiiandthear
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 for the vertex:
Find the vertical coordinate for the vert
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.
Multiply the outer terms together.
(2x)(1) = 2x
3.
Multiply
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 15 min.?
3. Solve 4x + 2 = 14 using algebra.
4. List the