MHF4U PAP Chapter 1
1.4 Rates of Change
LEARNING GOALS
By the end of todays lesson I will be able to:
1. Understand what a rate of change is and be able to differentiate
between Average and Instantaneous Rates of Change
2. Relate Average Rates of Change a
Unit 2:
Demand, Supply, and
Consumer Choice
1
Trade and Taxes
2
Review
P
$22
Calculate the area of:
1. Consumer Surplus
2. Producer Surplus
3. Total Surplus
S
20
CS
1. CS=
2. PS=
3. Total=
18
PS
16
14
D
20
Q
3
Limits on Trade
World Price- Countries can bu
Characteristics of the Ideal Classroom
1. No Busy Work
2. Fun and Meaningful
Activities
3. Manageable
Assignments
4. Energy and
Enthusiasm
5. Humor
6. Varied Instruction with
Group work
7. Clear Expectation
8. Student Input Valued
9. Respect
10. Structure
Unit I: Basic
Economic Concepts
1
REVIEW
1. Explain how you would use the concept of
2.
3.
4.
5.
6.
7.
8.
opportunity cost in everyday life.
Differentiate between increasing and constant
opportunity cost PPCs
Explain why the Law of Increasing Opportunity
Elasticity
Elasticity shows how sensitive quantity is
to a change in price.
THE LAW OF DEMAND SAYS.
Consumers will buy more when prices
go down and less when prices go up
HOW MUCH MORE OR LESS?
DOES IT MATTER?
2
Price Elasticity of Demand (PED)
Price Elas
Unit 2:
Demand, Supply, and
Consumer Choice
1
Price Controls
Who likes the idea of having a price ceiling on
gas so prices will never go over $2 per gallon?
2
Price Ceiling
Maximum legal price a seller can charge for a product.
Goal: Make affordable by ke
Unit 2:
Demand, Supply, and
Consumer Choice
1
Review
1. Explain the Law of Demand
2. Explain the Law of Supply
3. Identify the 5 shifters of demand
4. Identify the 6 shifters of supply
5. Define Subsidy
6. Explain why price DOESNT shift the
curve
7. Defin
MFM2P
Trigonometry
Introduction
Triangles in Trigonometry Practice
1. For each triangle, label the hypotenuse, the opposite, and the adjacent sides
relative to the marked angle.
a)
b)
c)
d)
e)
f)
2. Write the ratio comparing the length of the opposite
sid
MFM2P
Trigonometry
Introduction
Triangles & Trigonometry
Trigonometry means triangle measurement. It is used to calculate lengths of sides
and measures of angles in triangles.
* This whole unit deals with Right Angle Triangles only! *
Right Triangle Termi
MFM2P
Pythagorean Theorem
Pythagoras was a Greek Mathematician born in 569 B.C.
who studied math, music, and astronomy.
Pythagoras was the first to prove that the square of
the hypotenuse is the sum of the squared sides.
Today this is called Pythagoras th
MFM2P
Date: _
Pythagorean Theorem Practice
1. Determine each unknown length. Where necessary, give the answers to 1 decimal
place.
a)
b)
c)
d)
e)
f)
For these next questions, draw a picture to represent the situation.
2. Samantha walks home from school by
The Pythagorean Theorem and Ladders
1. You're locked out of your house and the only open window is on the second
floor, 25 feet above the ground. You need to borrow a ladder from one of your
neighbors. There's a bush along the edge of the house, so you'll
x.
Determan [i'lc height oi mt
e'verchen Ute.
3. How fax is 11 across the mm"?
4 How high is the support x for
the conveyor',j The dlagram Is not
drawn to scale
5. To nd the distance AB across
a pond, surveyors measured the
dismnces shown Usc thes
MFM2P
Trigonometry
Trig Applications
Trigonometry Problem Solving Practice
1. A hiker is 500 m from the
Formula
base of a radio tower. The
angle of elevation to the top
of the tower is 20. Find the
height of the tower if the
hiker is 1.6 m tall.
Concludin
1.8.2: Review Relay
1. Only the shadow knowsand you
6. Map reading ALTERNATE
should too!
Problem: On a scale drawing of a
Problem: A 12-m tree casts a 16-m
school playground a triangular area has
shadow. How many feet tall is a nearby
side lengths of 8 cm