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Math 10 Foundations/ PreCalculus FlexiblePaced ONLINE COL Course number: 1600013 « back to classes page. Free to eligible schoolaged BC Residents aged 13 to 19. 0.4 The Foundations of Mathematics The foundations of mathematics involves the axiomatic method. This means that in mathematics, one writes down axioms and proves theorems from the axioms. The justiﬁcation for the axioms (why they are interesting, or true in some sense, or worth studying) is part of the motivation, or physics, or philosophy. Foundations & PreCalculus 10. Follow steps in the pictures below to search for FOM & PreCalc 10 Practice exams.
Foundations of Mathematics 10 Student Edition on Amazon.com.FREE. shipping on qualifying offers. Foundations of Mathematics 10 Student Edition.
Your Marks are posted on MyEdBC (if you have lost your password, email [email protected]): https://www.myeducation.gov.bc.ca/aspen/logon.do
CHECK THIS OUT:Study Tips
Math 11 Foundations is an academic course that prepares students for Math 12 Foundations. Students need to be prepared to work hard and complete all assigned work to have success in this class. Math 11 includes topics such as: Reasoning, Angles and Triangles, Trigonometry, Statistics, Linear Inequalities, and Quadratic Equations. Extra help from Mrs. Della is available before school and at lunch in room 215.
NOTE: A listing of the homework assignments for the semester can be found below the “useful links” and “project” information.
Some useful links:
 ONLINE VIDEO LESSONS: http://studymatrix.net/
 Online Textbook: http://www.nelson.com/ned/#cmd/school_otr – enter text title or ISBN, then click on text, enter PRT code from front cover of text, create account.
 Algebra Help: http://www.themathpage.com/alg/algebra.htm
 Solving for X Lessons and Practice: http://www.coolmath.com/algebra/06solvingequations/index.html
 Playing with Bearings (compass directions): http://www.flashymaths.co.uk/swf/bearings.swf
 Extra Help: http://www.khanacademy.org/ (or you can come see Mrs. Della in room 215, of course. 🙂 )
 More Help: https://www.sd43.bc.ca/RESOURCES/PARENTRESOURCES/MATH/10/Pages/default.aspx – an excellent resource of podcasts designed specifically for Math 10 Foundations, but some of the lessons will likely be useful to you too.
 Math 11 (&12) Curriculum Document: http://www.bced.gov.bc.ca/irp/pdfs/mathematics/WNCPmath1012/2008math_foundations1112.pdf
Project:
 Possible topics: anything of interest to you, that you can ask good questions about!
 The criteria/outline: FoM 11 Project Criteria
 The rubric/marking guide: Math 11 Project Rubric
Math 10 Foundations & Precalculusmrs. N. Gilley
Homework Assignments for the Semester:
Unit 1 (Ch 2): Properties of Angles and Triangles
Ch 2 Notes key Della
Date  Lesson  Practice Assignments 
 Intro stuff, Solve for X
 Course outline: Foundations 11 Course Outline

 2.1 & 2.2 Exploring Parallel Lines
 Hand out texts – also online
  p. 72 # 2, 3 & 5, pg 79 #3,4

 2.2 Angles Formed by Parallel Lines
 Do pg 78 #1&2 together
  p. 79 # 6, 8, 12, 13, 15, 16, optional 19

 
 2.3 Angles Properties in Triangles
  p. 91 # 5, 6, 8, 9, 12, 15 & 17

 Quiz /6 (on one note)
 2.4 Angle Properties in Polygons
  p. 99 # 4, 7, 8, 9, 11, 18

  p. 104 # 1 – 6
 p. 106 # 1 – 8, 10, 11 (Challenge #9)

 Review Day – go over Qs
 Discuss projects
 Study by redoing questions

Chapter 2 Unit Test /24 
Unit 2 (Ch 3): Acute Triangle Trigonometry
Ch 3 Notes key Della
Date  Lesson  Practice Assignments 
 Measure the height of the flag pole (nonrainy day)
 3.1 Acute Angle Triangles

 3.1 Acute Angle Triangles
 3.2 Sine Law
  p. 117 #1, 2, 4
 p. 125 #36, 8, 11

 Checkpoint & Quiz if time
 
 Programming Presentation: Students go to the assigned room at the beginning of the period. Counsellors will take attendance:
114/115 (Gagnes AFe) 123/124 (Young FiL) 208/209 (Luddu MS) 218/219 (Johal SZ)
 Quiz /8 (Sine Law)
 3.3 Proving & Applying the Cosine Law
 
 3.4 (1) Solving Problems Using Acute Triangles
 
 Quiz /5 (Sine & Cosine Laws)
 3.4 (2) Solving Problems Using Acute Triangles
 
  p. 152 # 1 6
 p. 154 # 13, 7 – 11

 Review Day
 Podrace: https://www.youtube.com/watch?v=e3NRzGrt5z0
 Podrace worksheet: Worksheet
  Choose topic for project by now

 Project
 Read pg 156157;
 Create research question AND a hypothesis (your guess as to what the answer will be)
 Assess your question by doing the checklist on page 156 #14 and writing out your analysis of your question.
 Hand in question and hypothesis by end of class
 If you have extra time, you can begin working on the questions or data collection from online.

Chapter 3 Unit Test /23 
Math 10 Foundations & Precalculusmrs. N. Gilliland
Unit 3 (Ch 4): Oblique Triangle Trigonometry
Ch 4 Notes key Della
Date  Lesson  Practice Assignments 
 4.1 Trig Ratios of Obtuse Angles
 
_____   4.2 (1) Sine & Cosine Law for Obtuse Angles
 Cockpit Math presentation with David Black
 http://www.airtimecanada.org
 Sponsored by Canadian Owners & Pilot’s Association
  p. 171 # (4,5)ac, 6, 8, 13 & 17

 4.2 (2) Sine & Cosine Law for Obtuse Angles
 
 Checkpoint
 Partner Quiz /6
  p. 175 # 1, 3, 4, 5, 6a, 8 & 9

 Another Partner Quiz?
 4.3 (1) Sine Law Ambiguous Case
 Animation of Ambiguous Case: https://www.desmos.com/calculator/4bfrcqpe7c
 YouTube Lesson: http://www.youtube.com/watch?v=mpEt5p_D5AA
 
 4.3 (2) Sine Law Ambiguous Case
 
 4.4 Solving Problems using Obtuse Triangles
 
 Review Day
 Will allow use of “reference sheet” on test – with the possible ambiguous cases itemized
  Trigonometry Review (WB pg 13, 14)
 p. 198 # 1abc, 2ace, 3, (challenge 5)
 p. 200 # 2bd, , 3b, 5, 6a, 8

Project: Turn to pg 202 – Choosing sources for your data collection
 Decide primary or both (primary and secondary), make survey and/or plan how to find data, and hand in rough ideas by _Monday, Apr 8___
 NOTE THAT at least one of your questions MUST be numerical (like percentages from a test, or ranges of values 010, 1120, 2130, etc)
 Get 50 responses by _Tues, Apr 23___

 Review Day – Review Package (same format to test)
Chapter 4 Unit Test /31 
Unit 4 (Ch 5): Statistical Reasoning
Ch 5 Sec 14 Notes key Della
Ch 5 Sec 5 Notes key
Math 10 Foundations & Precalculusmrs. N. Gillingham
Date  Lesson  Practice Assignments 
 5.1 Exploring Data
 5.2 Frequency Tables, Histograms & Freq Polygons
 
 5.1 Exploring Data
 5.2 Frequency Tables, Histograms & Freq Polygons
 
 
 Worksheet (Practice Quiz)
 
 Go over questions from worksheet
 Quiz /18
 Remaining time to finish and post surveys for project – need data in a week and a half!!
 NOTE THAT at least one of your questions MUST be numerical (like percentages from a test, or ranges of values 010, 1120, 2130, etc)

 5.4 The Normal Distribution
 
 5.4 continued
 Start Zscores?
 
  P. 264 # 5ac, 6ac, 7a, 8a, 9, 10

  P. 264 #11, 13, 16, 19, 21

 
  p. 280 # 2,4,6,7,9,10 (Ch Rev)

 Ch 5 Stats Practice Test – do with partner if you like

 Project Day – analyze data using stats from Ch 5
 Look through and find a problem with similar data to your’s and use that as your example of how to find mean, median, mode, standard deviation, normal distribution graph, zscore, confidence level, etc …

Chapter 5 Unit Test /29 
Unit 5 (Ch 6): Systems of Linear Inequalities
Ch 6 Sec 13 Notes key Della
Ch 6 Sec 46 Notes key Della
Date  Lesson  Practice Assignments 
 Review and Preview activity
 Play Battleship (new version)

 6.1 Graphing Linear Inequalities in Two Variables
  p. 303 #4, 5ace, 6ace, 7, 10 & 12

 6.2 Exploring Graphs of Systems of Linear Inequal.
  p. 307 # 1, 2 & Worksheet

 6.3 Graphing to Solve Systems of Linear Inequalities
  p. 318 #(4ac, 5i, 5iii)if you need to,
 6, 8 & 10 – for sure do these, check key for equations before graphing!

  p. 323 #25, 6(set up only) & 7a

 Quiz /9
 6.4 Optimization: Creating a Model
 
_____   Go over quiz and redo another one (keep better score)
 6.5 Optimization: Exploring Solutions
 
 

Chapter 6 Unit Test /28 
Unit 6 (Ch 7): Quadratic Functions and Equations
Date  Lesson  Practice Assignments 
 7.1 Exploring Quadratic Relations
 
 7.2 Properties of Graphs of Quadratic Functions
  p. 369 # 4, 5, 9, 11, 13, 16

 7.2 Properties of Graphs of Quadratic Functions
 
 Quiz /12
 7.3 Solving Quadratic Equations by Graphing
  p. 380 # 5ac, 7, 8ac, 911, & 13

 
 7.4 Factored Form of a Quadratic Function
  p. 391 # 1, 2, 4ace, 7, 9, 10ace, 11ac, 16 & 18

 Checkpoint
 Quiz /10 (at end of class)
 
 7.5 Solving Quadratic Equations by Factoring
  p. 398 #9,10, p. 407 # 7, 11, 14

 Check In – Up to now
 7.6 Vertex Form (part 1)
  Worksheet (7.1 – 7.5)
 p. 417 # 1ace, 2ace & 4

 
 7.7 Using the Quadratic formula
  Do WS 7.7 notes package (pg 24 and 25)

  p. 443 # 1, 2, 4ac, 5, 7a, 8ac, 9, 11,13ac

  Worksheet (similar to test)
 Bonus project:
 Create a pattern using quadratic functions.
 Label each line with its equation, right on the graph.
 Colour it.
 You can use y=x^{2} , or x=y^{2} to get sideways graphs.
 See Ms. Della’s examples


Chapter 7 Unit Test /31   Continue building rockets once complete test

 Finish rockets
 Final Exam Review
 Ch 2 pg 111 #913
 Ch 35 pg 287 #114
 Ch 68 pg 520 #111 (and #1214 after the next unit)

 Launch Rockets? (weather permitting)
 Rocket returning to Earth! 

Unit 7 (Ch 8): Proportional Reasoning
Date  Lesson  Practice Assignments 
 Everyone email me presentations by tonight 11:59pm!! [email protected] Presentations start tomorrow.
 8.1 Comparing & Interpreting Rates
 Final Exam OmitaTest Review – If you fully complete this, showing ALL THE WORK, and mark/correct it using the textbook answer key, you may choose a test to omit from the semester. This page is due right before we begin the final exam. (You may do the work right on the page.)
  p. 459 #4, 7, 9, 12, 13, 14

 Draw names for presentation dates…
 Presentations:
 8.2 Solving Problems that Involve Rates
  p. 467 #3, 5, 6, 12, 14, 15 & 18

 Presentations:
 Review (quiz tomorrow)
 Review for Final Exam as well
  p. 473 #1, 2, 4, 6, 7, 9 (mid ch review)

 Quiz /6 (on one note – some Qs from checkpoint)
 Presentations:
 8.3 Scale Diagrams
 
 Presentations:
 8.4 Scale Factors & Areas of 2D Shapes
  P. 487 # 4b, 5b, 6, 7, 10, 13

 Presentations:
 8.5 Similar Objects: Scale Models & Diagrams
  p. 498 # 4, 5, 8, 9, 11, 14 & 18

 Presentations:
 8.6 Scale Factors & 3D Objects
  p. 508 # 1b, 4, 5, 7, 10, 11

Presentations:Review Day for Final Exam
 
 Presentations:
 Online, choose a building to create a scale drawing of.
 When finished, review for final exam

Small Unit Test /12
 Games/Review for final exam

Choose a test to rewrite – review for it, ask questions

Rewriteatest day

October Sky – movie (Quadratics) — if time


W June 19   Fully completed 8.5×14 Bonus Review is due before starting final exam – write which test you would like to omit by your name on the Bonus Review.
Final Exam 