Search for notes by fellow students, in your own course and all over the country.

Browse our notes for titles which look like what you need, you can preview any of the notes via a sample of the contents. After you're happy these are the notes you're after simply pop them into your shopping cart.

My Basket

You have nothing in your shopping cart yet.

Title: Polynomials, algebraic calculation, quadratics, radicals, etc
Description: questions and answers on the topics, and plenty examples with written solutions, it is like a math textbook but more detail involved. 9/10th grade Math Teacher

Document Preview

Extracts from the notes are below, to see the PDF you'll receive please use the links above


3Adv Lesson 1: Indices (aka Exponents)
Monday, 07 August 2017

12:32 PM

Unit One Polynomials Page 1

Integer Exponents
Monday, 07 August 2017

12:32 PM

Unit One Polynomials Page 2

Examples
Monday, 07 August 2017

12:34 PM

Unit One Polynomials Page 3

Unit One Polynomials Page 4

Questions 1
Monday, 07 August 2017

12:35 PM

Unit One Polynomials Page 5

Unit One Polynomials Page 6

Rational Exponents
Monday, 07 August 2017

12:41 PM

An extension of the result above is that

Unit One Polynomials Page 7

Questions 2
Monday, 07 August 2017

12:44 PM

Unit One Polynomials Page 8

Extension
Thursday, 10 August 2017

9:06 AM

Unit One Polynomials Page 9

Extension answers
Thursday, 10 August 2017

2:52 PM

Unit One Polynomials Page 10

3Adv Lesson 2 Scientific Notation/Exponential Equations
Saturday, 12 August 2017

3:20 PM

Unit One Polynomials Page 11

A: Scientific Notation
Saturday, 12 August 2017

3:23 PM

Unit One Polynomials Page 12

Unit One Polynomials Page 13

Questions A
Saturday, 12 August 2017

3:27 PM

Unit One Polynomials Page 14

Unit One Polynomials Page 15

Unit One Polynomials Page 16

Examples
Monday, 14 August 2017

6:55 AM

Unit One Polynomials Page 17

B: Exponential Equations
Saturday, 12 August 2017

3:23 PM

Unit One Polynomials Page 18

Questions B
Saturday, 12 August 2017

3:24 PM

Unit One Polynomials Page 19

Examples
Monday, 14 August 2017

6:55 AM

Unit One Polynomials Page 20

Lesson 2 Extension
Sunday, 13 August 2017

11:44 AM

Unit One Polynomials Page 21

Unit One Polynomials Page 22

Mr F does some Lesson 2 Extension
Wednesday, 16 August 2017

6:14 AM

Unit One Polynomials Page 23

Unit One Polynomials Page 24

3Adv Lesson 3 Expansion
Sunday, 13 August 2017

1:09 PM

Unit One Polynomials Page 25

Unit One Polynomials Page 26

Some Examples
Wednesday, 16 August 2017

7:07 AM

Unit One Polynomials Page 27

Unit One Polynomials Page 28

Unit One Polynomials Page 29

Questions #1
Sunday, 13 August 2017

1:13 PM

Unit One Polynomials Page 30

Unit One Polynomials Page 31

Further Expansion
Sunday, 13 August 2017

1:14 PM

Unit One Polynomials Page 32

Questions #2
Sunday, 13 August 2017

1:22 PM

Unit One Polynomials Page 33

Unit One Polynomials Page 34

Interlude
Wednesday, 16 August 2017

6:59 AM

Unit One Polynomials Page 35

Questions #3
Wednesday, 16 August 2017

6:54 AM

Unit One Polynomials Page 36

Unit One Polynomials Page 37

Answers #3
Wednesday, 16 August 2017

6:54 AM

Unit One Polynomials Page 38

3Adv Lesson 4 Binomial Expansion
Thursday, 17 August 2017

4:17 PM

Further expansion will give us the result:

Unit One Polynomials Page 39

Unit One Polynomials Page 40

Questions 1
Thursday, 17 August 2017

4:21 PM

Unit One Polynomials Page 41

Unit One Polynomials Page 42

General Term and its uses
Thursday, 17 August 2017

4:23 PM

Unit One Polynomials Page 43

Questions 2
Thursday, 17 August 2017

4:25 PM

Unit One Polynomials Page 44

Q4
Saturday, 19 August 2017

2:24 PM

Unit One Polynomials Page 45

Unit One Polynomials Page 46

6b
Saturday, 19 August 2017

7:07 PM

Unit One Polynomials Page 47

Extension
Friday, 18 August 2017

6:30 AM

Unit One Polynomials Page 48

Extension Solutions
Sunday, 20 August 2017

12:18 PM

Unit One Polynomials Page 49

Unit One Polynomials Page 50

nCr
Friday, 18 August 2017

11:46 AM

Unit One Polynomials Page 51

3Adv Lesson 5 Factorisation
Tuesday, 22 August 2017

7:53 AM

Haese Text Book
Ex3D: 1abcd, 3 abcdefghi, 5all
Ex3F: 1all, 2abcmno
Ex3G: 1all,4 all
Sum/difference of two cubes - OneNote
Ex3H: as many as you have energy for (optional)

Unit One Polynomials Page 52

Examples
Tuesday, 22 August 2017

8:09 AM

Unit One Polynomials Page 53

Unit One Polynomials Page 54

Unit One Polynomials Page 55

Unit One Polynomials Page 56

Sum and Difference of Two Cubes
Tuesday, 22 August 2017

8:33 AM

Unit One Polynomials Page 57

Unit One Polynomials Page 58

Solutions to assessment 1
Saturday, 19 August 2017

4:17 PM

Unit One Polynomials Page 59

Unit One Polynomials Page 60

3Adv Lesson 6 Intro to Surds and Radicals
Thursday, 24 August 2017

12:05 PM

Frome Haese Text
Ex4A: 1acegik 2ac 3acegikmo 4acegik 5acegik 6ac
Ex4B: 1acegikmo 2ac 3aceg
Ex4C: 1ace 2aceg 3ace

Unit One Polynomials Page 61

3Adv Lesson 7: Multiplying and Dividing radicals
Sunday, 27 August 2017

12:38 PM

Unit One Polynomials Page 62

Examples
Monday, 28 August 2017

7:32 AM

Unit One Polynomials Page 63

Multiplying Radicals
Sunday, 27 August 2017

12:38 PM

Unit One Polynomials Page 64

Unit One Polynomials Page 65

Exercise 4D
Sunday, 27 August 2017

12:39 PM

Unit One Polynomials Page 66

Dividing Radicals
Sunday, 27 August 2017

12:43 PM

Unit One Polynomials Page 67

Unit One Polynomials Page 68

Exercise 4E
Sunday, 27 August 2017

12:44 PM

Unit One Polynomials Page 69

Unit One Polynomials Page 70

Proof
Sunday, 27 August 2017

12:53 PM

Unit One Polynomials Page 71

Exercise 4F - Equality of Surds
Sunday, 27 August 2017

12:47 PM

Unit One Polynomials Page 72

Ex4E Q4 and Q6
Tuesday, 29 August 2017

6:12 PM

Unit One Polynomials Page 73

Ex4F Q2 and Q3
Tuesday, 29 August 2017

6:12 PM

Unit One Polynomials Page 74

Unit One Polynomials Page 75

Ex4F Q5
Wednesday, 30 August 2017

10:38 AM

Unit One Polynomials Page 76

Unit One Polynomials Page 77

A short play by Mr Ferguson
Monday, 28 August 2017

11:47 AM

Unit One Polynomials Page 78

3Adv Lesson 8 Algebraic Fractions
Wednesday, 30 August 2017

6:06 AM

1
...
Adding and Subtracting Algebraic Fractions
...
Extension Questions (upon request)

Unit One Polynomials Page 79

Examples
Wednesday, 30 August 2017

6:30 AM

Unit One Polynomials Page 80

Unit One Polynomials Page 81

Friday, 01 September 2017

9:09 AM

Unit One Polynomials Page 82

Lesson 8 Extension Work
Tuesday, 29 August 2017

7:46 PM

Unit One Polynomials Page 83

Unit One Polynomials Page 84

3Adv Lesson 9
Friday, 01 September 2017

8:27 AM

Unit One Polynomials Page 85

Polynomial Intro
Friday, 01 September 2017

7:58 AM

Unit One Polynomials Page 86

Solving Examples
Friday, 01 September 2017

8:18 AM

Unit One Polynomials Page 87

Unit One Polynomials Page 88

Solving Quadratics by Factorising
Friday, 01 September 2017

7:47 AM

Unit One Polynomials Page 89

Unit One Polynomials Page 90

Unit One Polynomials Page 91

Questions
Friday, 01 September 2017

7:49 AM

Unit One Polynomials Page 92

Unit One Polynomials Page 93

Extension
Friday, 01 September 2017

8:08 AM

Unit One Polynomials Page 94

11B: 9bc and 10ab
Saturday, 02 September 2017

4:29 PM

Unit One Polynomials Page 95

3Adv Lesson 10 Solving Quadratics #2
Tuesday, 05 September 2017

6:09 AM

• Solving Quadratic Equations by Completing the Square
○ Ex11C (page 231) 2acegi,3ace,4ace
• Establishing the Quadratic Formula by First Principles
• Solving Quadratics with the Quadratic Formula
○ Ex11D (page 234) 2acegik
• Problem Solving with Quadratic Equations
○ Ex11E (page 235) 1,3,5,7,11ad,15,17

Unit One Polynomials Page 96

Examples
Tuesday, 05 September 2017

6:45 AM

Unit One Polynomials Page 97

The Quadratic Formula and where it comes from
Tuesday, 05 September 2017

6:49 AM

Unit One Polynomials Page 98

Unit One Polynomials Page 99

Assessment 2 solutions
Thursday, 31 August 2017

10:10 AM

Unit One Polynomials Page 100

Unit One Polynomials Page 101

Quiz Reflection
Tuesday, 05 September 2017

6:33 AM

Question

Right

Wrong

'Minor Error'
(Fixable with more care,
effort and/or presentation)

1
...
Division of surds
3
...
Division of Surds
5
...
Addition of Algebraic Fractions

7
...
Algebraic Fractions with Surds
9
...
Algebraic Fractions, Surds & Binomial Expansion - tough

How to fix the 'minor' errors?
List of things needing a 'big fix'
How to achieve the 'big fixes'?

Unit One Polynomials Page 102

Major/Conceptual Error
(I still don't understand this needs a 'big fix')

3Adv Lesson 11 Quadratics Face Off
Thursday, 07 September 2017

6:25 AM

Lesson Task
To create a face using quadratic functions
...
Access DESMOS online graphing
...
desmos
...
Create an account if you want to save your work
...
Make a face using only pieces of parabolas
...
You will have to use transformations to get your parabolas in to the required shape and position
...

5
...

Guidance
Your face must have:
• Mouth
• Eyes
• Nose
• Outline

Your face should have:
• Ears
• Hair
Your face could have:
• Eyebrows
• Facial hair
• Distinguishing marks and features
• Tattoos
• A hat
• Close resemblance to someone you know
• Other creative extras

Unit One Polynomials Page 103

The faces
Thursday, 07 September 2017

2:14 PM

Mahnur's Ms Shalisa
Yuta's no name

Lydia's Herman the Tourist Sloth

Alec's Sipho the happy gu

Ayesha's sad face

Felix's ya boi

Catharina's pointy head

Caleb's lloys

Unit One Polynomials Page 104

Campbell and the guy with

Andrei's lamest dude ever

Julian's no subject

guy

Victor's dynasty

Unit One Polynomials Page 105

Seung kwon's mr forehead

Rodrigo's smiley face

Unit One Polynomials Page 106

Unit One Polynomials Page 107

Ex20E Q2i
Sunday, 17 September 2017

12:18 PM

Unit One Polynomials Page 108

Summary notes of basic quadratic transformations
Sunday, 17 September 2017

12:34 PM

Unit One Polynomials Page 109

Unit One Polynomials Page 110

3Adv Lesson 12: Advanced Quadratics
Friday, 15 September 2017

8:24 AM

Unit One Polynomials Page 111

A: Using the Discriminant
Monday, 11 September 2017

10:15 AM

Unit One Polynomials Page 112

Unit One Polynomials Page 113

Unit One Polynomials Page 114

Unit One Polynomials Page 115

Some Notes
Sunday, 17 September 2017

2:06 PM

Unit One Polynomials Page 116

Examples
Sunday, 17 September 2017

1:56 PM

Unit One Polynomials Page 117

Unit One Polynomials Page 118

Questions
Wednesday, 13 September 2017

8:54 PM

Unit One Polynomials Page 119

Unit One Polynomials Page 120

B: Sum and Product of Roots
Friday, 15 September 2017

8:29 AM

Unit One Polynomials Page 121

Questions
Friday, 15 September 2017

8:30 AM

Unit One Polynomials Page 122

Extension Questions
Friday, 15 September 2017

8:31 AM

Unit One Polynomials Page 123

Unit One Polynomials Page 124

Extra Discriminant Questions - optional
Monday, 18 September 2017

3:10 PM

Unit One Polynomials Page 125

Unit One Polynomials Page 126

3Adv Lesson 13
Wednesday, 20 September 2017

8:51 AM

Polynomial Bingo

followed by

Quadratics Test

Unit One Polynomials Page 127

3Adv Lesson 14 Division of Polynomials
Friday, 22 September 2017

6:58 AM

Unit One Polynomials Page 128

Regular Long Division
Friday, 22 September 2017

7:04 AM

Unit One Polynomials Page 129

Algebraic Long Division
Friday, 22 September 2017

7:00 AM

Unit One Polynomials Page 130

Synthetic Long Division
Friday, 22 September 2017

7:00 AM

Unit One Polynomials Page 131

Extension
Friday, 22 September 2017

8:44 AM

Unit One Polynomials Page 132

Solutions to Extension
Friday, 22 September 2017

8:44 AM

Unit One Polynomials Page 133

Note on 'place holder'
Friday, 22 September 2017

9:16 AM

Unit One Polynomials Page 134

Friday, 22 September 2017

11:19 AM

Unit One Polynomials Page 135


Title: Polynomials, algebraic calculation, quadratics, radicals, etc
Description: questions and answers on the topics, and plenty examples with written solutions, it is like a math textbook but more detail involved. 9/10th grade Math Teacher