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.
  • Gradient and intercept
  • 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.
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
Title Lectures Price
Inquiry Based Session-1 lesson 1 8$
Regular Package/ 4 lesson 4 34$
Standard Package/8 Lesson 8 54$
Premium Package/12 12 76$
Fast Track/16 Lesson 16 96$
  • Middle School students
  • O-levels
  • Matric
  • GAT/ NAT/ NTS preparation
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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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About the instructor
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  • 1 Courses
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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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  • 00:00:00 Hours On demand videos
  • 12 Topics , 69 Sub Topics
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  • Full lifetime access
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