   # Get ahead with Mighty Minds Head Start Courses

### Take charge of your learning

Targeted at Year 11 students in 2019, our Head Start Courses prepare students for the content that will be covered in senior classes, and equip them with the skills they need to refine their knowledge and achieve academic success.

• For Year 11
• Aligned to the Senior Syllabus

Our workshops focus on developing practical skills that will give you the confidence and ability to succeed in Year 12.

## Benefits of our Holiday Courses ### A head start

Students will become familiar with key concepts before covering them at school. ### Make connections

Students work with like-minded peers and gain the opportunity to form valuable study networks and friendships. ### Inspirational facilitators

Content is delivered by highly experienced teachers who support and encourage learning. ### Cognitive Development

Our courses incorporate Cognitive Verbs, an integral component of the new examination system.

## Course offerings

We offer courses for Year 11 (2019) in the following senior syllabus subjects:  ## From $132 per day • General Mathematics • Mathematical Methods • Specialist Mathematics • Physics • Chemistry • How to Succeed in Senior & Writing Skills ### Workshop Outline #### Unit 3 Workshop 1 6-hour workshop covering the first half of Unit 3 ##### Associations between categorical variables • bivariate data, two-way frequency tables and association • scatterplots and strength of association • linear model by method of least squares • residual plots and coefficient of determination (R2) • make predictions by interpolation and extrapolation • association and causation, coincidence and confounding ##### Time series • features of time series plots such as long-term trend, seasonality, short term irregular fluctuations and outliers • smoothing data and seasonal indices • modelling long term trends with least-squares line ### Workshop Outline #### Unit 3 Workshop 1 6-hour workshop covering the first half of Unit 3 ##### Log laws and functions • use log laws • features of log functions • solve log equations • common log scales • modelling and problem-solving with log functions ##### Calculus of exponential functions • features of the exponential function $y = {e^x}$ • derivatives of exponential functions: $\frac{d}{{dx}}\left( {{e^x}} \right) = {e^x}$ and $\frac{d}{{dx}}\left( {{e^{f\left( x \right)}}} \right) = f'\left( x \right)$ ∙ ${e^{f\left( x \right)}}$ • modelling and problem-solving with exponential functions and their derivatives ##### Calculus of logarithmic functions • natural log function $y = {\rm{ln}}\left( x \right)$ and its relationship with the exponential function $y = {e^x}$ • derivatives of natural log functions: $\frac{d}{{dx}}\left( {{\rm{ln}}\left( x \right)} \right) = \frac{1}{x}$ and $\frac{d}{{dx}}\left( {{\rm{ln}}(f\left( x \right)} \right) = f'\left( x \right)$ ∙ $\frac{1}{{f\left( x \right)}}$ • modelling and problem-solving with log functions and their derivatives ##### Calculus of trigonometric functions • derivatives of: $\frac{d}{{dx}}\left( {{\rm{sin}}\left( x \right)} \right) = {\rm{cos}}\left( x \right)$, $\frac{d}{{dx}}\left( {{\rm{cos}}\left( x \right)} \right) = - {\rm{sin}}\left( x \right)$, $\frac{d}{{dx}}\left( {{\rm{sin}}(f\left( x \right)} \right) = f'\left( x \right)$ ∙ $\left( {{\rm{cos}}(f\left( x \right)} \right){\rm{\;and\;}}\frac{d}{{dx}}\left( {{\rm{cos}}(f\left( x \right)} \right) = - f'\left( x \right)$ ∙ $\left( {{\rm{sin}}(f\left( x \right)} \right)$ • modelling and problem-solving with trig functions and their derivatives ##### Differentiation rules • product, quotient and chain rules ### Workshop Outline #### Unit 3 Workshop 1 6-hour workshop covering the first half of Unit 3 ##### Proof by mathematical induction • proofs involving summations • proofs involving divisibility ##### Vectors in three dimensions • extending concepts from Unit 1 into three dimensions by introducing the unit vector $\hat k$ and the altitude $\varphi$ ##### Vector and Cartesian equations • vector, parametric and Cartesian equations of straight lines, curves and spheres • cross product • equations of planes • areas of shapes including triangles and parallelograms ##### Vector Calculus • Cartesian equations of particles in motion where the path is a circle, ellipse or hyperbola • differentiating and integrating vector functions with respect to time • solve projectile and circular motion problems ### Workshop Outline #### Unit 3 Workshop 1 6-hour workshop covering the first half of Unit 3 ##### Vectors • resolve vectors into perpendicular components • solve problems using vector components ##### Projectile motion • resolve velocity into horizontal and vertical components • solve a variety of problems involving projectile motion ##### Inclined planes • draw free body diagrams involving weight $\left( {W = mg} \right)$, normal force, friction$\left( {{F_f} = \mu {F_N}} \right)$ • calculate the net force • solve a variety of problems involving inclined planes using ${F_f} = \mu {F_N}$ and $F = mg$ ##### Uniform circular motion • features of uniform circular motion in terms of a force $\left( {{F_{net}} = \frac{{m{v^2}}}{r}} \right)$, acceleration$\left( {{a_C} = \frac{{{v^2}}}{r}} \right)$, velocity$\left( {v = \frac{{2\pi r}}{T}} \right)$, average speed and period • solve a variety of problems uniform circular motion ##### Gravitational force and fields • Newton’s Law of Universal Gravitation$\left( {F = \frac{{GMm}}{{{r^2}}}} \right)$, and gravitational field strength $\left( {g = \frac{F}{m} = \frac{{GM}}{{{r^2}}}} \right)$ • solve a variety of problems involving gravitational and gravitational field strength. ##### Orbits • Kepler’s laws of planetary motion • the relationship between Kepler’s third law, Newton’s Law of Universal Gravitation and uniform circular motion $\left( {\frac{{{T^2}}}{{{r^3}}} = \frac{{4{\pi ^2}}}{{GM}}} \right)$ • solve problems involving Kepler’s third law ### Workshop Outline #### Unit 3 Workshop 1 6-hour workshop covering the first half of Unit 3 ##### Chemical equilibrium • the nature of equilibrium reactions • the effect of changes in temperature, concentration and pressure on equilibrium • Le Châtelier’s principle • calculations involving equilibrium constant ${K_C}$ ##### Acids and bases • the nature of ‘strong’ and ‘weak’ acids and bases • Brønsted-Lowry acids and bases • pH scale and ${\rm{pH}} = - {log _{10}}[{{\rm{H}}^ + }]$ • self-ionisation of water and ${K_w} = \left[ {{{\rm{H}}^ + }} \right]\left[ {{\rm{O}}{{\rm{H}}^ - }} \right]$ • calculations involving $\left[ {{{\rm{H}}^ + }} \right]$, ${\rm{pH}}$, $\left[ {{\rm{O}}{{\rm{H}}^ - }} \right]$and ${\rm{pOH}}$. • buffers and indicators • calculations involving ${K_a}$ and ${K_b}$ • titration calculations and graphs ### Workshop Outline #### How to Succeed in Senior (2 hours) • Study habits • Growth Mindset • Setting Goals • Emotional Intelligence • Fundamental Skills • Problem-solving strategies • Cognitive Verbs (introduction and importance) • Deconstructing and responding to Cognitive Verb questions. #### Writing Skills – The 6 Stages of Writing (4 hours) • Idea Generation (Understanding the question, Brainstorming, Reviewing and selecting ideas, Developing the thesis) • Planning (Audience, Genre, Text Structure) • Phase 1 Drafting (Textual Features) • Phase 2 Drafting (Language Features) • Editing and Proofreading (Grammar, Spelling, Punctuation) • Final Product (Presentation, final checklist) ## Timetable • Gold Coast • Sunshine Coast • Brisbane ### September/October Holidays Day 1 Mathematical Methods Monday 23rd September Enrol Day 2 How to Succeed in Senior & Writing Skills Tuesday 24th September Enrol Day 3 Physics Wednesday 25th September Enrol Day 4 Specialist Mathematics Thursday 26th September Enrol Day 4 General Mathematics Thursday 26th September Enrol Day 5 Chemistry Friday 27th September Enrol ### September/October Holidays Day 1 How to Succeed in Senior & Writing Skills Monday 23rd September Enrol Day 2 Chemistry Tuesday 24th September Enrol Day 3 Specialist Mathematics Wednesday 25th September Enrol Day 3 General Mathematics Wednesday 25th September Enrol Day 4 Physics Thursday 26th September Enrol Day 5 Mathematical Methods Friday 27th September Enrol ### September/October Holidays Day 1 Mathematical Methods Monday 30th September Enrol Day 2 How to Succeed in Senior & Writing Skills Tuesday 1st October Enrol Day 3 Physics Wednesday 2nd October Enrol Day 4 Specialist Mathematics Thursday 3rd October Enrol Day 4 General Mathematics Thursday 3rd October Enrol Day 5 Chemistry Friday 4th October Enrol ## What is included? • Six hours of teaching per subject • Opportunities to ask questions • Practice questions and model answers • Additional online resources ## From$132 per day

Enrol today     ## Why choose Mighty Minds?

We are an established education company that has played an active role in teaching and learning in Queensland since 1985.

10 000+

Workshops held

1 000 000+

Students taught face-to-face

### Any questions?

Email us at courses@mightyminds.com.au

or call us on (07) 5689 1086

## Cost structure

Standard price per course: $165 Discounted price per course:$132 (when you qualify for a 20% discount)

Book early and select multiple courses in order to receive a discount of up to 20%!

Discounts for individuals

• Book three or more courses: 10% off
• Early Bird Discount: 10% off - Enrol before 31st of July 2019

Discounts for schools

• Book for five or more students: 10% off
• Early Bird Discount: 10% off - Enrol before 31st of July 2019 