Oct. 31 Class

Today we did more word problems with right angle triangles.

Handout: Problems with Right Triangles

Here are some of the solutions,

Make sure that you understand how to solve for any side or angle in a right angle triangle.

Homework: P. 280 # 1-16

Oct. 30 Class

New Unit: Trigonometry!

Here is the daily plan for the new unit and a worksheet for today,

Handout: Unit 5 Daily Plan

Handout: Introduction to Trigonometry Worksheet

We discussed about right angle triangles, reviewed Pythagorean theorem and reviewed SOH CAH TOA.  Here are the notes and some solutions to the first worksheet.

Homework: P. 280 # 1-16

Oct. 29 Class

Congratulations on completing the forth Unit Test!  We are now done with quadratics, but don't forget any of it because they will appear on a performance task and final exam.

Oct. 26 Class

Today was a work period for you to ask questions and to study.  Here are some details about what to expect on the test.

Unit Test Details

Very similar in format to the previous test in length.

When a quadratic function is in vertex form, be able to…

  - Find the vertex.

  - Equation of the axis of symmetry.

  - Maximum or minimum value.

  - Domain and Range.

  - Number of zeroes.

  - Expand to standard form.

When a quadratic function is in standard form, be able to…

  - Re-write it in vertex form (completing the square).

  - Determine the number of zeroes.

  - Solve using the quadratic formula.

Solve word problems involving quadratic functions.

  - Identify the variables.

  - Determine what values needed to be solved for.  (Vertex or zeroes?)

  - Pick a strategy (quadratic formula, completing the square?)

Determine the equation of a given graph in vertex form.

Determine an equation of a graph from data and use it to predict values.

Here's some brief notes on determining the number of zeroes:

Oct. 25 Class

Today was a work period for you to study for your test next week.  Here are some of the questions you should be working on:

P. 254 # 1-12
P. 256 # 1-10

Good luck in your studies, we will do review tomorrow.

Oct. 24 Class

After a bit of answering questions from previous days, I discussed how to write quadratic equations from a graph of data.  The process is very similar to what we did in the last unit, only this time we started from vertex form rather than factored form.

Here are the notes:

Homework: Complete the handout, p. 250 #3-5, 7-10, 12

This essentially covers the material for the test on Monday!  Now all we have left is review and test preparation.

Oct. 23 Class

Today I handed back the formative quiz and went over the solutions.  Here are the solutions:

Then we started discussing word problems.  Here is the handout:

Handout: Solving word problems

And here are the full solutions.

In addition to the questions on the back of the handout, there are some textbook questions to try:

Homework: Complete handout, P. 240 #3, 4, 7, 8, 10, 12-13
 

Oct. 19 Class

Today we did a formative quiz.  I will return them to you on Tuesday.

We then discussed the nature of roots in quadratic equations.  Here are the notes:

Oct. 18 Class

Learning Goals: Understand how to use the quadratic formula.

Today I introduced where the quadratic formula came from.  Have a look at this handout to see how it is derived,

Handout: The quadratic formula

We also watched a youtube video that might help you remember the formula:
www.youtube.com/watch?v=43JvqjHtFXQ

Here are the solutions to the examples on the back of that handout:

Homework: p. 222 #3, 5, 6, 8-10

Announcement: We will do a formative quiz tomorrow!

Oct. 17 Class

Learning Goals: Be able to complete the square.

Today I went over how to complete the square.  This is an essential skill that you must memorize!

Handout: Completing the square

Here are the examples, one straight forward and one more difficult.

Homework: p. 213 #1cd, 2, 4, 5, 8, 9, 11, 12

Oct. 16 Class

Learning Goals: Review the information that can extracted from the vertex form fo quadratic functions.

Today we began a new unit that will involve the vertex form.  You must remember how to find the vertex, axis of symmetry, direction of opening, maximum or minimum and the domain and range from a function in vertex form.

You should also know how to sketch the function and how to rewrite it in standard from by expanding.

Here are the examples from today:

Homework: p. 203 #1, 3-5, 7, 8, 10, 11, 14

Oct. 15 Class

Congratulations on completing the third Unit Test today!

We will begin with the new unit tomorrow: STANDARD AND VERTEX FORMS

Oct. 12 Class

Test Preparations

Be able to find the

  -  zeros

  -  y-intercept

  -  axis of symmetry

  -  vertex 

of a quadratic function that is in standard form or factored form.

Ex.  3x^2 – 9x – 30

Be able to write an equation (factored and standard form) from a graph or scatter plot (ie. plot data.)

Solve quadratic equations by factoring.

  - find x, (usually two answers ;) )

Solve word problems:

- Profit type questions

- Population type questions

- Projectile type questions (anything that flies through the air.)

For word problems:

-  Look for vertex to find maximum or minimum.

-  Substitute and solve to find a specific variable.

   (what time, how high, what speed… find x or y.)

Domain and Range

Communication: explain a procedure.

Homework:

p. 182 #1, 5-7, 9, 11

p. 184 #1-4, 6, 10

Mid-Chapter Review p. 155 #1-8

Oct. 11 Class

Learning Goals: Be able to write a quadratic equation that represent data.

Today we discussed how we can take data from a real life situation and turn it into a quadratic equation.  First we plotted points from a table of values and then filled in a line of best fit.  Once we get the zeros from the line of best fit, we can write down and equation in factored form.  Using another point from the graph, we can then calculate the a value.

Handout: Creating quadratic models from data

Here are the notes:

When we substitute a point into the equation to solve for a, we can choose any point.  In this case we chose (0, 20).

In this graph, only points near the axis were given, so we had to extend it to estimate what the zeros might be.

Homework: p. 176 #1-4, 11, 12

Oct. 10 Class

Today we discussed more on roots, intercepts and zeroes.  Remember FZERGI!

Functions have Zeros

Equations have Roots

Graphs have Intercepts

We worked through this handout today: Quadratic Equations and Functions

The homework contains a bunch of word problems, which will be a major part of this unit.  Be sure to try them all and be warned that some of them require graphing to solve and others can be solved by factoring.  Those are two methods you should become increasingly familiar with.

Homework: Complete handout, p. 168 #1-9, 11, 12

Oct. 9 Class

Learning Goals: Understand how to solve quadratic equations by factoring.

At this point you should all be really good at factoring!  We will be using factoring to solve problems.  I did a few examples in class today using this handout:

Solving Quadratic Equations by Factoring

Homework: P. 161 #1-12, 15, 16

Marks Available on TeachAssist

I will now be using teachassist to record your marks.  For your most up-to-date mark, please log in and have a look.

The site is: http://ta.yrdsb.ca/yrdsb/   (Link also in right column)

User name: Your student ID number.
Password: Your last name (Please change it once you log in)

Let me know if there are any discrepancies and if you have any questions about your mark.

Math Help Room Open

A math help room is now available where peer tutors can help you out with math homework if you need it.  Here are the location and times:

Room G4

Tues, Wed, Thurs during P3

Tues, Thurs during P4

You can always look on the right hand column of this page to see these times.

Oct. 5 class

Learning Goals: Solve problems with quadratic functions by graphing.

I provided a handout today on solving problems by graphing.

Handout: Solve problems by graphing

Then I worked through it with everyone and here are the notes:

Remember when working from home, you can use your favourite graphing app or this online graphing calculator: http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html

Homework: Complete worksheets and P. 149 #1, 3, 4, 5, 6a, 13-15

Oct. 4 Class

Learning Goals: Understand what information can be extracted from standard form and factored form of quadratic equations.

New Unit!

Here are the notes and part of the handout I gave you today.  Make sure you know how to find the r and s from factored form and know that they give you the x-intercepts.  You should also be able to find the vertex of any quadratic function in factored form.

Homework: P. 139 # 1-16

Oct. 3 Class

Congratulations on completing the second Unit Test!

For homework tonight, please attempt the questions from the first day of the Unit 3 Daily Plan.   We will jump right into it tomorrow.

Oct. 2 Class

Today I handed out the daily plan for the 3rd unit.

Handout: Unit 3 Daily Plan

NOTE: We can no longer can supply course packs for each student, so pages on the unit plan referring to course packs will be replaced with handouts when possible.

Since the test for unit 2 is tomorrow, your first priority is to study for it.  After that, you can begin on the first day of homework for Unit 3.  Today was one final work period to study and ask questions for the test tomorrow.

Oct. 1 Class

Today was a work and review period.  I gave more practice on factoring.

Handout: More factoring review

ANNOUNCEMENT: The summative test has been moved to Wednesday, so one extra day to study!

I will be available Tuesday after school for extra help.  Drop by the Art Office, room 55 to find me, or I will be in one of the art rooms.