# Online Preparation for Selective High - Mathematical Reasoning

Please find below further descriptions of the course Mathematical Reasoning

Timetable

Wednesday 4 August
Lesson 1 - Number and Calculations

Wednesday 11 Aug Lesson 2 - Missing Numbers

Wednesday 18 Aug Lesson 3 - Factors, Multiples and Remainders

Wednesday25 Aug Lesson 4 - Patterns

Wednesday 1 Sept Lesson 5 - Temperature, Mass and Length

Wednesday 8 Sept Lesson 6 - Areas and Volumes

Wednesday 15 Sept Lesson 7 - Time, Distance and Speed

Maths Wednesday, August 4 Numbers and Calculations Problem solving skills

• Understanding and using important words in Maths

• Averages

• Quickest methods for performing operations by regrouping numbers

• A variety of calculations (= - x ÷ ) involving whole numbers, decimals and fractions

• The use of symbols to represent certain calculations

Maths Wednesday, August 11 Missing Numbers Problem Solving Skills

• Order of operations

• how to work backwards

• magic squares

• finding missing numbers to balance number sentences

• finding missing numbers to balance other mathematical operations

• Sums and differences of unitary fractions

Maths Wednesday, August 18 Factors, Multiples and Remainders Problem Solving Skills

• factors

• multiples

• prime and composite numbers

• highest common factor

• lowest common factor

• divisibilitytests

• finding solutions when given the remainder after division

Maths Wednesday, August 25 Patterns

• Problem Solving Skills

• Recognising and completing a diverse range of mathematical patterns

• Finding repeated patterns in a problem in order to simplify and shorten calculations

• Solving a variety of patterns with emphasis on fractions

• Finding the sum of various patterns.

Maths Wednesday, September 1- Temperature, Mass and Length Problem Solving Skills

• Converting mass and length to smaller and larger units

• Perimeter of composite shapes

• Circumference of a circle

• Scale drawings

• Finding temperature differences

Maths Wednesday, September 8 Areas and Volumes Problem Solving Skills

• Calculating irregular areas

• Surface areas of a prism

• Volume and capacity

• Essential units - sq m, sq cm and hectares

• Converting units

• Basic areas and volumes - rectangular prisms, rectangle and triangle

• Calculating irregular volumes

Maths Wednesday, September 15 Time, Distance and Speed Problem Solving Skills

• Important facts relating to time

• Converting units of time

• The relation between speed, distance and time

• Converting speeds to different units

• Average speed