Welcome to Foundations and PreCalculus 10!

 

Due to the COVID-19 virus, please work through chapters 5-7 below. Make sure you check the answer key as you go.

Also, check below for tutorial videos that correspond to each textbook chapter that will help you out :) 

Timeline: You should complete an entire chapter every 3 weeks. 

If you have any questions, email: sarah.ruf@gssd.ca

 

Textbook Chapter and Answer Key:

Chapter 1: math10_chapter1.pdf

Chapter 2:math10_chapter2.pdf

Chapter 3:math10_chapter3.pdf

Chapter 4:math10_chapter4.pdf

Chapter 5:math10_chapter5.pdf

Chapter 6:math10_chapter6.pdf

Chapter 7:math10_chapter7.pdf

Answer Key: math10_Answers.pdf

 

 

GRAPHING CALCULATOR: DESMOS Link

https://www.desmos.com/calculator

 

 

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Unit 1 (Chapter 2): Trigonometry

(Approximately 10 classes)

 

Day 1: (Tuesday Feb. 4th)

Course Outline and Classroom Expectations

Calculator Loan Sheet

Pythagorean Theorem:

Complete the entire worksheet given in class. 

 

Day 2: (Wednesday Feb. 5th)

Chapter 2.1: Inverse Trigonometry to Solve Unknown Angles

Complete Page 75, #s 10 and 8 in your TB. DUE tomorrow.

 

Day 3: (Thursday Feb. 6th)

Chapter 2.4: Inverse Trigonometry to Solve Unknown Angles

Complete Page 92/93, #s 7, 8, 10, 12, and 13 in your TB. DUE tomorrow.

Quiz tomorrow

**If you've missed any classes so far, make sure you get the notes from another classmate and complete the TB questions. IF you're stuck here is a few videos to watch:

Sine Cosine and Tangent Ratios:

https://www.youtube.com/watch?v=Y6UW9rFUa5E&list=PL42593C0D08135D39

Finding Angles in Right Triangles:

https://www.youtube.com/watch?v=j4O3fpC4HFg&list=PL42593C0D08135D39&index=3

 

Day 4: (Friday Feb. 7th)

Quiz: Pythagorean Theorem and Solving Unknown Angles

Chapter 2.2: Solving Unknown Side Lengths Using Tangent

Complete assignment at the bottom of your unit booklet for this section. DUE next class.

 

Day 5: (Monday Feb. 10th)

Chapter 2.5: Solving Unknown Side Lengths Using Sine and Cosine

TB Assignment #1: Page 82/83 #s 6-8 (solving side lengths using tangent)

TB Assignment #2: Page 101 #s 3a and b, 4a and b, 6 and 11 (solving side lengths using sine and cosine)

*If stuck, check out this video for using trig ratios for solving unknown side lengths:

https://www.youtube.com/watch?v=7UOQQw_EUQo&list=PL42593C0D08135D39&index=2

 

Day 6: (Tuesday Feb. 11th)

Chapter 2.6: Applying the Trigonometric Ratios and Solving the Whole Triangle

Assignment: In-class worksheet. We will correct at the end of class. 

Reminder: Quiz tomorrow on solving the whole triangle.

 

Day 7: (Wednesday Feb. 12th)

Quiz: Applying the Trigonometric Ratios and Solving the Whole Triangle

Chapter 2.7 Solving Problems Using More Than One Right Triangle

TB Assignment: Page 118 #s 3 and 5. DUE next class. 

 

Day 8: (Thursday Feb. 13th)

Pd 3 class: Unit Exam

Pd 5 class: Unit Review 

 

Day 9: (Friday Feb. 14th) Happy Valentine's Day!

Unit Exam

 

 

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Unit 2A: Polynomials Review

 

Day 10: Monday Feb.  24th

Review of:

- Naming polynomials

- Identifying the degree

- Writing polynomials in increasing and decreasing degree

Complete Worksheet 2.1

 

Day 11: Tuesday Feb. 25th

Chapter 3.7 & 4.6

Multiplying Polynomials

Complete Worksheet 2.2

 

Day 12: Wednesday Feb. 26th

Chapter 3.7 & 4.6

Powers of Polynomials

Complete Worksheet 2.3

 

Day 13: Thursday Feb. 27th

Chapter 3.7 & 4.6

Quotients of Powers

Complete Worksheet 2.4

 

 

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Unit 2B: Factoring (Chapter 3)

 

Day 14: Friday Feb. 28th

Section 2.1 (Chapter 3.1)

Prime Factorization, Greatest Common Factor (GCF), and Least Common Multiple (LCM)

Complete: TB Page 140 #s 3-6, 8-11: DUE for Monday

 

Day 15: Monday March 2nd

Section 2.1 (Chapter 3.1) AND Section 2.2 Factoring Polynomials (Chapter 3.3)

Review Section 2.1

Hand in assignment #1: Prime Factorization, GCF and LCM

Factoring the GCF out of each polynomial: Section 2.2

Complete: TB Page 155 #s 7-10 DUE next class.

 

Day 16: Tuesday March 3rd

Review Section 2.2, finish last example

Complete Section 2.3 examples together

Complete: TB Page 155 #s 14 and 16, along with WS 2.3 #s 1-5 DUE next class.

Quiz tomorrow on Section 2.2 and 2.3

 

Day 17: Wednesday March 4th

Complete WS 2.3, #s 6-10

Quiz on sections 2.2 and 2.3

Learn: How to factor difference of squares (Section 2.4A)

Complete: WS 2.4A #s 1-11 DUE for next class.

 

Day 18: Thursday March 5th

Section 2.4A: Factoring Difference of Squares

Complete: TB page 194 #s 4, 6, and 10 DUE next class

Section 2.4B: Factoring Trinomial Squares

Complete: TB page 194 # 7a DUE next class

Here are a couple videos that will help you with factoring Trinomial Squares:

Video #1:  https://www.youtube.com/watch?v=aM1qf2QN8YE

Video #2:  https://www.youtube.com/watch?v=7v8RXiswGJI

 

Day 19: Friday March 6th

Review Section 2.4B

Complete: TB page 194, #s 8, 12, and 15: DUE next class

Section 2.5 (Part 1): Factoring using the "Product and Sum" method

Complete: WS 2.5(Part A) #s 1-10: DUE next class

 

Day 20: Monday March 9th

Review Section 2.5 (Part A)

Complete: WS 2.5 (Part A) #s 11-30: DUE next class

Section 2.5 (Part B): Removing a GCF, then factor using Product/Sum

Complete: WS 2.5 (Part B) #s 1-5: DUE next class

 

Day 21: Tuesday March 10th

Review Section 2.5 (Part B): Removing a GCF, then factor using Product/Sum

Complete: WS 2.5 (Part B) #s 6-11: DUE next class

**Make sure you're keeping up and finishing all of the assigned work so far! 

 

Day 22: Wednesday March 11th

Review all factoring types up until today: GCF, Difference of Squares, Trinomial Square, and Product/Sum

Complete: Quiz #3 

Complete: WS 2.5 (Part A and B): Finish all of the remaining questions on both worksheets

 

Day 23: Thursday March 12th

Section 2.6 Decomposition (Day 1)

Complete: TB Page 177 #13: DUE next class

 

Day 24: Friday March 13th

Section 2.6 Decomposition (Day 2)

Complete: TB Page 177 #s: 9, 10, 15-17.

 

 

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Unit 3: Roots and Powers

Chapter 4 in your FPC 10 textbook

 

Check out the following videos to help you work through this unit:

 

Video 4.2 Part 1:  

https://www.youtube.com/watch?v=VWS5B_ZsGGg&list=PLC011556BDB4E069F&index=2&t=0s

Video 4.2 Part 2:  

https://www.youtube.com/watch?v=eoTvLpuUS4c&list=PLC011556BDB4E069F&index=3&t=0s

 

Video 4.3: 

https://www.youtube.com/watch?v=8xtM1uu_AK8&list=PLC011556BDB4E069F&index=3

 

Video 4.4:

https://www.youtube.com/watch?v=mVdDmUcVRuQ&list=PLC011556BDB4E069F&index=4

 

Video 4.5: 

https://www.youtube.com/watch?v=MtZtdaZTIas&list=PLC011556BDB4E069F&index=5

 

Video 4.6: 

https://www.youtube.com/watch?v=SP5YNMRDm8U&list=PLC011556BDB4E069F&index=6

 

 

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Unit 4: Relations and Functions

Chapter 5 in your FPC 10 textbook

Check out the following videos to help you work through this unit:

Video 5.1:

https://www.youtube.com/watch?v=69GZG5Xw60s&list=PL58DA3C91F03A3DA1

 

Video 5.2 Part 1 along with Chapter 5.4:

https://www.youtube.com/watch?v=72uXK33XQ1E&list=PL58DA3C91F03A3DA1&index=2

 

Video 5.2 Part 2:

https://www.youtube.com/watch?v=dEKILDXdIbI&list=PL58DA3C91F03A3DA1&index=3

 

Video 5.3 Part 1:

https://www.youtube.com/watch?v=-Quukqv7R5s&list=PL58DA3C91F03A3DA1&index=4

 

Video 5.3 Part 2:

https://www.youtube.com/watch?v=OGH6cDOjMjI&list=PL58DA3C91F03A3DA1&index=5

 

Video 5.5:

https://www.youtube.com/watch?v=LK8YeFVsg6E&list=PL58DA3C91F03A3DA1&index=6

 

 

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Unit 5: Linear Functions

Chapter 6 in your FPC 10 textbook

*Watch this video to review slope and rate of change. 

 

 

Video 6.1 Part 1:

https://www.youtube.com/watch?v=Uc3f9cjCxcM&list=PLF708587ADF33F8CC

 

Video 6.1 Part 2:

https://www.youtube.com/watch?v=7e5rf6b1CGI&list=PLF708587ADF33F8CC&index=2

 

Video 6.2: 

https://www.youtube.com/watch?v=mqfCGNVAKJM&list=PLF708587ADF33F8CC&index=3

 

Video 6.4:

https://www.youtube.com/watch?v=IhndDT3qHfI&list=PLF708587ADF33F8CC&index=4

 

Video 6.5: 

https://www.youtube.com/watch?v=n3Jpsy_8S30&list=PLF708587ADF33F8CC&index=5

 

Video 6.6:

https://www.youtube.com/watch?v=AUyLFasE3Lw&list=PLF708587ADF33F8CC&index=6

 

Additional Information:

This video (click on link below) demonstrates the three ways to represent the equation of a line: 

1) Slope-intercept: y = mx + b

2) Slope-point: y - y₁= m(x - x₁)

3) General form: Ax + By + C = 0       AND       Standard form: Ax + By = C

 

https://www.khanacademy.org/math/algebra/two-var-linear-equations/standard-form/v/standard-form-for-linear-equations

 

 

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Unit 6: Systems of Linear Equations

Chapter 7 in your FPC 10 textbook

 

Chapter 7.1 - Developing Systems of Linear Equations

We are are creating a system of equations that mathematically represent the word problems/situations.

 

Here is an additional video that will support you with this section.

Watch this video till the end on how to develop a system of linear equations:

https://www.khanacademy.org/math/algebra/systems-of-linear-equations/introduction-to-systems-of-linear-equations/v/trolls-tolls-and-systems-of-equations

 

 

 

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