#### What's included

###### 32 live meetings

32 in-class hours###### Homework

1 hour per week. Learners will be required to read the chapter/s or handouts supplied in the classroom as attachments prior to each class as applicable in order to follow the examples set live in class and then be able to complete practice tasks in between classes in order to demonstrate learning.###### Assessment

included###### Grading

included#### Class Experience

###### US Grade 7 - 10

###### Intermediate - Advanced Level

If the currently listed section times do not suit you, please contact me to arrange a more suitable time, pending availability. PREREQUISITES: Your learner will need to have prior knowledge of the following: - Basic Arithmetic Skills including Addition, Subtraction, Multiplication, Division - Fractions and Decimals - Ratios and Percentages - Variables - Inequalities - Exponents - Knowledge of basic geometry such as finding the perimeter and area of different shapes - Recognition of Patterns - The ability to do word problems - Different Categories of Shapes - 2 and 3 dimensional shapes - Parallel and Perpendicular Lines - How to Prove Something i.e. Show the Steps to Working Out Mathematic Problems - Sets - Logic - Real Number Systems and Number Theory - Number Representation and Calculation - Money Management - Probability - Statistics - Metric Measurement - Voting and Apportionment - Graph Theory If you are unsure as to whether your learner has already covered these pre-requisites, please contact me for further details; I also offer another course which covers these topics, therefore your learner may need to take that course first before enrolling in this course. ----------------------------------------------------------------------- It is often said that mathematics is the language of science. If this is true, then an essential part of the language of mathematics is numbers. The earliest use of numbers occurred 100 centuries ago in the Middle East to count, or enumerate items. Farmers, cattle herders, and traders used tokens, stones, or markers to signify a single quantity; a sheaf of grain, a head of livestock, or a fixed length of cloth, for example. Doing so made commerce possible, leading to improved communications and the spread of civilisation. Three to four thousand years ago, Egyptians introduced fractions. They first used them to show reciprocals. Later, they used them to represent the amount when a quantity was divided into equal parts. But what if there were no cattle to trade, or an entire crop of grain was lost in a flood? How could someone indicate the existence of nothing? From earliest times, people had thought of a “base state” while counting and used various symbols to represent this null condition. However, it was not until about the fifth century CE in India that zero was added to the number system and used as a numeral in calculations. Clearly, there was also a need for numbers to represent loss or debt. In India, in the seventh century CE, negative numbers were used as solutions to mathematical equations and commercial debts. The opposites of the counting numbers expanded the number system even further. Because of the evolution of the number system, we can now perform complex calculations using these and other categories of real numbers. In this section, we will explore sets of numbers, calculations with different kinds of numbers, and the use of numbers in expressions. -------------------------------------------------------------- Pre-Algebra: Day 1: Whole Numbers Day 2: The Language of Algebra Day 3: Integers Day 4: Fractions Day 5: Decimals Day 6: Percents Day 7: The Properties of Real Numbers Day 8: Solving Linear Equations and Inequalities Day 9: Models and Geometry Day 10: Polynomials Day 11: Graphs --------------------------------------------------------------- Elementary Algebra: Day 12: Systems of Linear Equations Day 13: Factoring Day 14: Rational Expressions and Equations Day 15: Roots and Radicals Day 16: Quadratic Equations ---------------------------------------------------------------- Intermediate Algebra: Day 17: Graphs and Functions Day 18: Polynomials and Polynomial Functions Day 19: Rational Expressions and Functions Day 20: Quadratic Equations and Functions Day 21: Exponential and Logarithmic Functions Day 22: Conics Day 23: Sequences, Series, and Binomial Theorem ----------------------------------------------------------------- Algebra and Geometry: Day 24: Polynomial and Rational Functions Day 25: Analytic Geometry Day 26: Sequences, Probability, and Counting Theory ---------------------------------------------------------------- Algebra and Trigonometry: Day 27: The Unit Circle - Sine and Cosine Functions Day 28: Periodic Functions Day 29: Trigonometric Identities and Equations Day 30: Further Applications of Trigonometry Day 31: Systems of Equations and Inequalities Day 32: Overview of this Course and a Preview of the Precalculus to Calculus Course

##### Learning Goals

`If your learner intends to take Calculus in higher grade levels, then they will need the knowledge from this course before beginning those classes.`

#### Other Details

###### Parental Guidance

- I will screen-share Google Slides and I will also use a whiteboard as applicable.
- I may share videos in the classroom in between our live classes for extra enrichment as applicable.
- Websites listed under "Sources" are for the teacher to access for curriculum and material.
- The learners do NOT need to access anything on the internet outside of Outschool for this class.
- I may also screen-share Khan Academy and IXL Learning in this class as applicable.

###### Supply List

Learners will need a Scientific Calculator for this class. Handouts will be supplied to the classroom as applicable. Printing them out is always optional and not necessary for this class unless it is your own preference to read paper instead of digital files.

###### External Resources

In addition to the Outschool classroom, this class uses:

##### Teacher expertise and credentials

```
Applicable courses that I have completed that pertain to this class include:
- Introduction to Calculus
- Single Variable Calculus
- Multivariate Calculus
- Precalculus Through Data and Modelling
- Precalculus: Relations and Functions
- Precalculus: Mathematical Modelling
- Differential Calculus Through Data and Modelling
- Integral Calculus Through Data and Modelling
- Calculus Through Data and Modelling: Limits and Derivatives
- Calculus Through Data and Modelling: Integration Applications
- Algebra: Elementary to Advanced
- Algebra and Differential Calculus for Data Science
- Calculus for Machine Learning and Data Science
- Applied Calculus with Python
- Advanced Statistics for Data Science
- Vector Calculus for Engineers
I am a native English speaker with a 150-hour TESOL qualification from Arizona State University and post-graduate qualifications in Applied Linguistics from Monash University.
I am also a lawyer in Australia and I homeschool my own children, therefore speaking and teaching clearly have been a part of my life for many years, and now I am also applying these skills to teaching others.
I am a homeschool mother of multiple children. We have always homeschooled and participated in distance education. We came to Outschool in 2018 as learners, and now I am excited to also teach on this platform. I understand the needs of parents of learners here as I am one myself. My own child/children will be regularly participating in this class.
I have degrees, post-graduate, and professional qualifications in the following - only those relevant to this class are listed here, for a complete list please visit my teacher profile page:
- Law - Bachelor of Laws, Graduate Diploma of Legal Practice, Admission as a Lawyer;
- TESOL - I have completed 8 out of 8 units towards the 150-hour qualification. When I receive my official professional certificate from Arizona State University I will update this here;
- Criminology;
- I.T. Security;
- Applied Linguistics;
- Investigative Services;
- Bachelor of Arts in Security, Terrorism and Counterterrorism from Murdoch University
```

#### Reviews

###### Live Group Class

#### $649

for 32 classes1x per week, 32 weeks

60 min

Live video meetings

Ages: 11-16

3-18 learners per class