**Ref: **JC11-1

**Subject:** Junior Cert Maths

**Start Date: 22nd September 2021**

**Day/Time: Tuesday’s @ 7 pm**

**Class Duration: **

**September 2021 to April 2022****24 Weeks of Live Online Grinds**

**1 Hour Classes**

**
Goal:** Give students a better understanding of their subject and build confidence.

**INTRODUCTION:**

Tuition Farm’s live online grinds classes are taught by **highly qualified and experienced teachers**, who are experts in their subject.

Classes are presented in a **lecture style format** with a **Q & A session** at the end.

Our style of teaching provides students with the **opportunity** to learn in an **uninterrupted environment** and equips them with the **fundamental skills** required for life in higher education.

We pride ourselves on providing **high quality learning resources** that will help students **achieve higher exam results**.

**OUR GRINDS COURSE:**

This course runs from **September 2021 to April 2022** and will cover content from the current curriculum.

**Lessons are recorded**, which allows students to revise over previous content covered or catch up on lessons they may have missed.

All student gets a **complete set of class revision notes** in advance of each lesson.

The total cost of this live online grinds course is only **€239**.

**EXAMPLE LESSON VIDEO & CLASS NOTES:**

Below is a recording of one of our classes from early 2021, along with a copy of the class notes for the lesson.

**Class Notes for Above Lesson**

***IMPORTANT INFORMATION* **

- Our live grinds classes are held online via Zoom.
- Every live online grinds has a Q&A session at the end.
- We will email the instructions on how to join our Zoom classes the week before the class begins.
- If you are buying this class for someone else, please include their email address in the “Additional Information” section on checkout.
- Students should join their class 5-10 minutes before the start time and check they have a good internet connection.

- Improved Knowledge of Subject
- Build Confidence

24h

Understanding basic concepts of probability and calculating probabilities from experimental data, or for outcomes of random events.
Interpreting and Constructing diagrams relating to probability including sample spaces and Venn diagrams.
Correct use of Set Theory notation to discuss experiments and data.
Main Syllabus points covered: 1.1, 1.2, 1.3, 1.8, 3.5

Defining and recognising the 4 types of data and the appropriate methods of representing this data.
Interpreting, analysing and constructing pie charts, bar charts, line plots, histograms and stem & leaf plots.
Main Syllabus points covered: 1.4, 1.6, 1.7, 1.8

Understanding the definition and meaning of ‘Axiom’, ‘Theorem’ (and ‘proof’ for HL students).
Overview of Geometric Axioms and Theorems, and how to apply these to solve problems involving 2D shapes, intersecting lines and angles.
Main Syllabus points covered: 2.1

Deriving Pythagoras Theorem and using to solve problems involving right-angled triangles.
Understanding Trigonometric ratios and using the to solve problems involving angles 0-90 degrees
Main Syllabus points covered: 2.1, 2.3

Understanding and ploting lines on graphs in form of y=mx+c & y-y1+m(x-x1)
Finding intersection point of two lines
FInding the slope of parallel and perpendicular lines
Recognising axis of symmetry for basic shapes on y/x axis
Main Syllabus points covered: 2.2, 2.4

Defining and understanding the different number sets (Natural, Integers, Rational, Real & Irrational)
Expressing numbers as a product of Prime factors.
Use the equivalence of fractions, decimals and percentages to compare proportions.
Justifying approximations and estimations of results.
Main Syllabus points: 3.1

Understanding Arithmetic operations of addition and & subtraction on a range of algebraic expressions including fractions and quadratic terms.
Recognising arithmetic series and forming expressions for given arithmetic patterns
Main Syllabus points covered: 4.1,4.6

Multiplication and Division of algebraic expressions
Factorisation of expressions.
Solving algebraic linear equations
Solving algebraic quadratic equations using factorisation and quadratic formula.
Main Syllabus points covered: 4.6,4.7,4.8

Extended overview of Set Theory notation and terms (covered partly in lesson 1)
Construction and interpretation of Venn Diagrams to represent data
Correct use of Set Theory notations and terms to analyse and evaluate data.
Main Syllabus points covered: 3.5

Basic understanding and use of inequality symbols
Solving algebraic inequalities
Applying and interpreting inequalities in real life situations.
Main Syllabus points covered: 4.6, 4.7

Use of formula and graphs to model real-life situations and solve problems involving Speed, time and distance.
Applying relevant algebraic and Co-ordinate Geometry skills and knowledge to solve problems (i.e. re-arranging and solving equations, gradients and y-intercept)
Main Syllabus points covered 3.4

Understanding how to solve problems and make value for money judgements involving mobile phone tarriffs, currency transactions, VAT and energy bills and tariffs.
Solve problems involving profit, loss & margin
Calculating compound interest
Calculating income tax and net pay
Main Syllabus points covered: 3.3

Using and applying rules for indices in addition, subtraction, multiplication and division
Understanding a1/2
Expressing large numbers in standard form (a x 10x)
Advanced indices rules for HL students (including a0, a1/q & a-q)
Main Syllabus points covered: 3.2

Generating Arithmetic expressions from repeating patterns
Representing patterns with tables, diagrams and graphs.
Finding Formulae to model patterns (Arithmetic & Quadratic)
Main Syllabus points covered: 4.1,4.2,4.3

Understanding and using relevant notation for functions and graphs on y/x axes.
Drawing and interpreting simple linear functions and solving problems involving these functions and graphs.
Graphing solution sets for linear equalities on number line.
Finding approximate solutions from graphs where f(x)=g(x)
Main Syllabus points: 5.1,5.2

Graphing quadratic functions and solving problems and equations involving quadratic functions.
Finding minimum and maximum values of quadratic functions from graph
Graphing simple exponential functions
Main syllabus points: 5.2