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Math Foundations 11 – 2015

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

 

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