**Important Information**

Course Outline

Ministry of Education Foundations of Mathematics 11 curriculum

We are currently working on Chapter 7 – Quadratic Functions & Equations.

The Chapter 7 – Quadratic Functions & Equations test will be on Monday, July 27.

The Chapter 6 – Systems of Linear Inequalities test was on Wednesday, July 22.

**July 23**

Quadratic Functions: Standard and Factored forms

page 360 #1,2,3,5

page 369 #3,6,10,11

page 391 #1-3,6,11,13,14

There will be a quiz tomorrow. The Chapter 7 test will be Monday.

**July 22**

Chapter 6 test

The PM class must complete the table of values for the car prices and revenue for next day.

**July 21**

Do section 6.4 and 6.5

Test next day.

**July 20**

Graphing inequalities and Systems of Inequalities: Sections 6.1 – 6.3

Page 303 #1,2,3ab,4,6bce,7 or 9

Page 307 #1,2

Page 317 #2

**July 17**

Complete the two worksheets:

Day 1 worksheet: #1,2(a-d),3,4(a-e,j)

6.3 Practice: #3,4,5

**July 16**

There was a chapter 5 test; no homework.

**July 15**

Complete 5.4 – page 251 #1-3,6,8,10,11

There will be a chapter 5 test next class, so it might be prudent to read sections 5.5 and 5.6.

**July 14**

Today: 5.1 – Central Tendencies; 5.2 – Frequency Polygons & Histograms; started 5.3 – Standard Deviation

There will be a quiz on 5.1 to 5.3 tomorrow after the break.

**July 13**

We are beginning to look at Chapter 5 – Stats.

Complete #1-3 on page 211.

**July 10**

Complete the questions on page 163, 170, and 183.

There will be a chapter 4 test next day.

**July 9**

The class wrote the Ch. 3 – Acute Triangle Trig test.

We looked at how the sine, cosine, and tangent ratios changes as the angle increases from 0 to 180 degrees.

We looked at the cosine and sine laws for obtuse triangles.

The afternoon class should complete page 170 #1-4.

There will be a quiz tomorrow on the Sine and Cosine Laws for oblique triangles.

**July 8**

We reviewed the Sine Law.

Cosine Law

Page 136 #1-5,8,13

We looked at using all of the geometry relationships that we know of. Students may use the following for extra practice, but it is not mandatory:

Page 147 #1,2a,3-7,9,10,12

Ch. 3 – Acute Triangle Trig test tomorrow.

**July 7**

We reviewed right triangle trigonometry.

3.1 – 3.2 The Sine Law

Page 117 #2,4

Page 124 #2,3

Quiz next day.

**July 6**

To warm up, students worked on Page 106 #2,3,4,7,10 and Page 111 #10-13

The class wrote the chapter 2 test.

We were reminded of the ideas presented in Right Triangle Trigonometry from Math 10.

Students should complete the worksheet (pages 3 and 4 of the handout today).

We will look at the 3.1 work on the last two pages tomorrow.

**July 3**

We studied angles in triangles and the interior and exterior angles of polygons in general.

Page 90 #3,5,7,10,11,13,14

Page 99 #1-3,6,8ab,9a,10,11,13

The chapter 2 test will be Monday near the start of class.

**July 2**

We looked at angle properties. We looked at relationships between angles formed between parallel lines and a transversal.

Page 72 #1-3,5

Page 78 #1-4,6,9,10,15, (16 or 18 and 20)

There will be a quiz next day on these topics.

**Chapter 1 – Inductive & Deductive Reasoning**

By the end of this chapter, you will be able to…

- 1A – make conjectures based on observations of patterns and properties
- 1B – provide and explain counterexamples to conjectures
- 1C – explain the differences between inductive and deductive reasoning
- 1D – prove a conjecture using deductive reasoning
- 1E – determine the validity of an argument and justify the reasoning
- 1F – solve a contextual problem using inductive or deductive reasoning

**Chapter 2 – Properties of Angles and Triangles**

By the end of this chapter, you will be able to…

- 2A – determine the angle measures of diagrams involving parallel lines and triangles
- 2B – solve contextual problems involving angles and triangles
- 2C – construct parallel lines using only a compass or a protractor
- 2D – use inductive reasoning to generalize the relationship between angles of parallel lines
- 2E – generalize the relationship between the sum of the interior angles and the number of sides in a polygon

**Chapter 3 – Acute Tringle Trigonometry**

By the end of this chapter, you will be able to…

- 3A – draw a diagram to illustrate a problem involving the sine law
- 3B – explain the steps of a given proof using the sine law
- 3C – apply the exponent laws:
- 3D – solve a problem involving the sine law
- 3E – draw a diagram to illustrate a problem involving the cosine law
- 3F – explain the steps of a given proof using the cosine law
- 3G – solve a problem involving the cosine law
- 3H – solve a contextual problem involving the sine law or cosine law

**Chapter 4 – Obtuse Triangle Trigonometry**

By the end of this chapter, you will be able to…

- 4A – determine the sine, cosine, or tangent of an obtuse angle
- 4B – determine the measure of an obtuse angle using sine, cosine, or tangent
- 4C – determine the measure of an angle of an obtuse triangle using the sine law or cosine law
- 4D – determine the length of a side of an obtuse triangle using the sine law or cosine law
- 4E – analyze and explain the ambiguous case of the sine law
- 4F – solve problems involving the ambiguous case of the sine law
- 4G – solve problems involving obtuse triangles using the sine law or cosine law

**Chapter 5 – Statistical Reasoning**

By the end of this chapter, you will be able to…

- 5A – determine the mean, mode, and median of a data set
- 5B – explain the dispersion of a data set using the concepts of mean, mode, and median
- 5C – illustrate a data set using frequency tables, histograms, and frequency polygons
- 5D – determine and explain the standard deviation of a data set
- 5E – explain the meaning of a normal distribution using examples
- 5F – determine if a data set approximates a normal distribution
- 5G – compare the properties of two or more normally distributed data sets
- 5H – explain the meaning of a z-score for a given value in a normally distributed data set
- 5I – determine the z-score for a given value in a normally distributed data set
- 5J – explain the significance of the margin of error, confidence interval, or confidence level
- 5K – make inferences of a population from a data sample using given the confidence intervals
- 5L – support a position by analyzing the statistical data

**Chapter 6 – Systems of Linear Inequalities**

By the end of this chapter, you will be able to…

- 6A – determine the boundary of a linear inequality
- 6B – graph a linear inequality in two variables
- 6C – determine the solution region of an illustrated linear inequality and given boundary line
- 6D – graph a system of linear inequalities
- 6E – determine the solution region of an illustrated system of linear inequalities and given boundary lines
- 6F – explain the significance of the shaded region of a system of linear inequalities
- 6G – solve an optimization problem by creating a model
- 6H – solve an optimization problem by exploring solutions
- 6I – solve an optimization problem by linear programming

**Chapter 7 – Quadratic Function & Equations**

By the end of this chapter, you will be able to…

- 7A – determine if an illustrated relation represents a quadratic relation
- 7B – determine if a given equation represents a quadratic relation
- 7C – determine the intercepts of a quadratic function
- 7D – determine the vertex of a quadratic function
- 7E – determine the roots of a quadratic equation by graphing the related quadratic function
- 7F – determine the roots of a quadratic equation by factoring
- 7G – express a quadratic equation, in factored form, using the zeroes of the related quadratic function
- 7H – graph a quadratic function in vertex form y = a (x – p)^2 + q
- 7I – determine the equation of a quadratic function in vertex form y = a (x – p)^2 + q
- 7J – solve a quadratic equation using the quadratic formula

**Chapter 8 – Proportional Reasoning**

By the end of this chapter, you will be able to…

- 8A – determine and compare rates and unit rates
- 8B – illustrate a rate pictorially or graphically
- 8C – explain the relationship between the slope of a graph and a rate
- 8D – identify and explain the factors that influence a rate
- 8E – determine the scale factor given an object and its representation
- 8F – explain the effect of a change in scale factor on the area of two dimensional shapes
- 8G – explain the effect of a change in scale factor on the surface area of three dimensional objects
- 8H – explain the effect of a change in scale factor on the volume of three dimensional objects