Math 10 Foundations & Precalculusmrs. N. Gill

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Math 10 Foundations/ Pre-Calculus Flexible-Paced ONLINE COL Course number: 1600013 « back to classes page. Free to eligible school-aged 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 justi-fication 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 & Pre-Calculus 10. Follow steps in the pictures below to search for FOM & Pre-Calc 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/06-solving-equations/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

LessonPractice 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
  • Mid Ch Review
  • p. 85 # 1 – 8
  • 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
  • Review Day:
  • 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

LessonPractice Assignments
  • Measure the height of the flag pole (non-rainy day)
  • 3.1 Acute Angle Triangles
  • 3.1 Acute Angle Triangles
  • 3.2 Sine Law
  • p. 117 #1, 2, 4
  • p. 125 #3-6, 8, 11
  • Checkpoint & Quiz if time
  • p. 129 # 1 -9
  • Programming Presentation: Students go to the assigned room at the beginning of the period. Counsellors will take attendance:

    114/115 (Gagnes A-Fe)

    123/124 (Young Fi-L)

    208/209 (Luddu M-S)

    218/219 (Johal S-Z)

  • Quiz /8 (Sine Law)
  • 3.3 Proving & Applying the Cosine Law
  • p. 137 # 4-6, 8, 11
  • 3.4 (1) Solving Problems Using Acute Triangles
  • p. 147 # 3, 4, 6, & 7
  • Quiz /5 (Sine & Cosine Laws)
  • 3.4 (2) Solving Problems Using Acute Triangles
  • p. 149 # 11 – 14
  • Review Day
  • p. 152 # 1- 6
  • p. 154 # 1-3, 7 – 11
  • Review Day
  • Podrace: https://www.youtube.com/watch?v=e3NRzGrt5z0
  • Podrace worksheet: Worksheet
  • Choose topic for project by now
  • Project
    • Read pg 156-157;
    • 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 #1-4 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

LessonPractice Assignments
  • 4.1 Trig Ratios of Obtuse Angles
  • Worksheet
  • pg 163 # 1-4

_____

  • 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
  • p. 171 # 2, 7, 12, 14
  • 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
  • p. 183 # 4-6
  • 4.3 (2) Sine Law Ambiguous Case
  • p. 183 # 10, 13, 17
  • 4.4 Solving Problems using Obtuse Triangles
  • p. 194 #4, 5, 6, 10, 13
  • 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 0-10, 11-20, 21-30, 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 1-4 Notes key Della
Ch 5 Sec 5 Notes key

Math 10 Foundations & Precalculusmrs. N. Gill

Math 10 Foundations & Precalculusmrs. N. Gillingham

Date

LessonPractice Assignments
  • 5.1 Exploring Data
  • 5.2 Frequency Tables, Histograms & Freq Polygons
  • p. 211 # 1, 2, p. 222 #4
  • 5.1 Exploring Data
  • 5.2 Frequency Tables, Histograms & Freq Polygons
  • p. 223 # 6, 8 & 9
  • 5.3 Standard Deviation
  • p. 234 # 6, 7, 11, 13
  • Worksheet (Practice Quiz)
  • Worksheet hand out
  • 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 0-10, 11-20, 21-30, etc)
  • 5.4 The Normal Distribution
  • p. 252 # 6, 8, 10
  • 5.4 continued
  • Start Z-scores?
  • pg 253 # 11 – 14
  • 5.5 Z-Scores
  • P. 264 # 5ac, 6ac, 7a, 8a, 9, 10
  • More Z-Scores
  • P. 264 #11, 13, 16, 19, 21
  • 5.6 Confidence Intervals
  • p. 274 # 4, 6 – 10
  • Review
  • 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, z-score, confidence level, etc …
Chapter 5 Unit Test /29

Unit 5 (Ch 6): Systems of Linear Inequalities
Ch 6 Sec 1-3 Notes key Della
Ch 6 Sec 4-6 Notes key Della

Date

LessonPractice 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!
  • Checkpoint
  • p. 323 #2-5, 6(set up only) & 7a
  • Quiz /9
  • 6.4 Optimization: Creating a Model
  • p. 330 #3 – 7

_____

  • Go over quiz and redo another one (keep better score)
  • 6.5 Optimization: Exploring Solutions
  • p. 334 #1 – 3
  • Review Day
  • Worksheet
Chapter 6 Unit Test /28

Unit 6 (Ch 7): Quadratic Functions and Equations

Date

LessonPractice Assignments
  • 7.1 Exploring Quadratic Relations
  • p. 360 # 1-6
  • 7.2 Properties of Graphs of Quadratic Functions
  • p. 369 # 4, 5, 9, 11, 13, 16
  • 7.2 Properties of Graphs of Quadratic Functions
  • 7.2 BLM Worksheet
  • Quiz /12
  • 7.3 Solving Quadratic Equations by Graphing
  • p. 380 # 5ac, 7, 8ac, 9-11, & 13
  • 7.4 Factoring Review Day
  • Factoring Worksheet
  • 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)
  • P. 398 # 1, 2, 4, 5, 8
  • 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
  • 7.6 Vertex Form (part 2)
  • p. 417 # 5, 11, 12, 15
  • 7.7 Using the Quadratic formula
  • Do WS 7.7 notes package (pg 24 and 25)
  • Review Day
  • p. 443 # 1, 2, 4ac, 5, 7a, 8ac, 9, 11,13ac
  • Ch 7 Review
  • 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=x2 , or x=y2 to get sideways graphs.
    • See Ms. Della’s examples
  • Rockets – Build
Chapter 7 Unit Test /31
  • Continue building rockets once complete test
  • Finish rockets
  • Final Exam Review
    • Ch 2 pg 111 #9-13
    • Ch 3-5 pg 287 #1-14
    • Ch 6-8 pg 520 #1-11 (and #12-14 after the next unit)
  • Launch Rockets? (weather permitting)
Rocket returning to Earth!

Unit 7 (Ch 8): Proportional Reasoning

Date

LessonPractice Assignments
  • Everyone email me presentations by tonight 11:59pm!! [email protected] Presentations start tomorrow.
  • 8.1 Comparing & Interpreting Rates
  • Final Exam Omit-a-Test 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
  • p. 480 # 5, 6, 9-12
  • Presentations:
  • 8.4 Scale Factors & Areas of 2-D 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 & 3-D Objects
  • p. 508 # 1b, 4, 5, 7, 10, 11
  • Presentations:
  • Review Day for Final Exam
  • Worksheet (in package)
  • Presentations:
  • Online, choose a building to create a scale drawing of.
  • When finished, review for final exam

Small Unit Test /12

  • Final Exam Review
  • Games/Review for final exam
  • Choose a test to re-write – review for it, ask questions

Rewrite-a-test day

  • October Sky – movie (Quadratics) — if time
  • October Sky continued
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