D1 textbook of the D-syllabus.

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.

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$ |

Premium Package/12 | 12 | 76$ |

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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About the instructor

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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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