# Middle School Maths

D1 textbook of the D-syllabus.

Ordinary Level 0(0 Ratings) 0 Students enrolled
Created by AYESHA BIBI Last updated Tue, 29-Aug-2023 English
What will i learn?
• Students will be prepared to study complex topics of D2/D3/D4.
• Easily understand O-Levels/ IGCSE/ Matric Mathematics

Curriculum for this course
12 Topics
Number Systems
6 Sub Topics
• Types of numbers, Venn Diagram
• Number line, Number Properties
• Operations on integers
• Operations on Decimals
• Divisibility Rules
• Rounding off and Significant Figures
Introduction to coordinate geometry
3 Sub Topics
• Reinforce the concept of linear functions and understand the meaning and effect of negative, positive and zero gradients on straight lines on the graph.
• Demonstrate the knowledge of relationships between gradients of parallel and perpendicular lines to find missing gradients of given lines
Equations and inequalities
3 Sub Topics
• Solve linear equations involving algebraic fractions in Mathematical and practical situations
• Change the subject of a formula and use substitution method to calculate values of unknown variables
• Solve basic single and simultaneous linear inequalities in one variable and use number line to illustrate the answers
Algebraic expression and Factorization
6 Sub Topics
• Understanding Algebraic terms such as variable, coefficient etc
• ● Understand and use commutative, associative and distributive laws of the four operations in algebra
• BODMAS rule in Algebra
• Expansion of Algebraic Expressions to find product
• Multiplication and division of Algebraic fractions
• Factorization by taking common
Time and average speed
6 Sub Topics
• ● Convert between 12 hour clock and 24 hour clock and vice versa
• Calculate arrival time, departure time and journey time in a given situation ((on the previous day and the next day)
• Uniform and non uniform speed
• Relationship between speed, distance and time
• Solve problems involving time and average speed
• Draw and interpret simple distance – time and draw Speed-time graphs (travel Graphs) in real life contexts involving one component
Ratio, rate and proportions
3 Sub Topics
• Using concept of ratio to calculate rate and average rate of quantities
• Calculate Increase and decrease in a ratio based on change in quantities and vice versa
• Recognize and use common measure/units of rate
Fractions and Percentages
12 Sub Topics
• Types of Fractions
• Comparing and Ordering Fractions
• Application of BODMAS to Fractions
• Percentage greater than 100
• Expressing one quantity as percentage of other
• Expressing one quantity as percentage of other
• Expressing one quantity as percentage of other
• Expressing one quantity as percentage of other
• Increase and decrease quantities by a given percentage
• Apply knowledge of percentages to find discount,commission, value added tax (VAT) and general sales tax (GST)
• Convert and use equivalences between simple fractions, decimals, ratios and percentages,
• Word problems related to fractions and percentages in context of money, length and weight.
Line and Angle properties, Bisectors and Polygons
8 Sub Topics
• Recognize and construct acute, obtuse and reflex angles using a protractor
• Angle properties of Adjacent, vertically opposite, reflex, Complementary and Supplementary angles
• Angle properties of alternate angles, corresponding angles and interior angles
• Naming polygons and their angles(Interior and Exterior angles)
• Finding unknown angles in triangles and quadrilaterals.
• Construction of triangles and quadrilaterals using standard compass.
• Drawing angle and line bisectors
• Formula for perpendicular distance from point to line
Sequence and Patterns
3 Sub Topics
• Recognizing pattern and investigate missing terms
• Formulation of Nth Term in the given sequence
• Using general formulae finding unknown terms and formulating sequence.
LCM and HCF
4 Sub Topics
• Prime factorization method to find LCM and HCF
• Factor Tree Method to find HCF and LCM
• Laws of Indices
• Scientific Notation
Square and Cube Roots
3 Sub Topics
• Finding Squares and Cubes of Numbers
• Finding Square and Cube Roots of numbers.
• Real life Applications
Area and Volume
12 Sub Topics
• Conversions of metric units
• Conversion of area and volume units
• Concentric and eccentric circles
• Calculate the areas and perimeters of a parallelograms and trapeziums (with consistent and inconsistent units)
• Using the knowledge of concentric circles and formulae, calculate area and perimeter of a ring
• Calculate the perimeter and areas of any compound 2D shapes(involving whole shape and shaded regions)
• Reinforce surface area and volume of a right prism (including triangular, rectangular prisms and cylinders)
• Calculate the surface area and volume of any simple and compound 3D objects(including right prisms and pipe) and explain the method used (with both consistent and inconsistent units)
• Calculate the missing dimension from the given area/perimeter/surface area/volume of all 2D shapes and Right prisms.
• Use concepts of area, perimeter, surface area and volume in simple problem solving
• Approximate areas and perimeters, surface areas and volumes of shapes and objects with non-integer dimensions
• Use standard units of length, mass and capacity for estimation and calculation
Packages
Title Lectures Price
Inquiry Based Session-1 lesson 1 8\$
Regular Package/ 4 lesson 4 34\$
Standard Package/8 Lesson 8 54\$
Fast Track/16 Lesson 16 96\$
Requirements
• Middle School students
• O-levels
• IGCSE
• Matric
• GAT/ NAT/ NTS preparation
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Description

Torus academy offers Middle School Mathematics online course. This  is the two way communicative study to enhance very basic concepts of the learners and help them prepare exclusively for O-level Mathematics.  It will comprehensively explain topic such as Number operations, Algebra, Geometry etc.

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I have done MS Mathematics from NUST Islamabad. I have over 10 years experience of teaching online and offline to middle, secondary, higher secondary and graduate level International as well as Pakistani students. Currently I am affiliated with Beaconhouse School system as a mathematics teacher. In this plateform i will teach online with powerpoint, video lessons. I will make my lessons interactive through virtual two way discussions and help my students with their homework, assignments and getting good grades. I'll make myself available for extra support aswell.

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Includes:
• 00:00:00 Hours On demand videos
• 12 Topics , 69 Sub Topics
• Access on mobile and tv