D1 textbook of the D-syllabus

What will i learn?

- Students will be prepared to study complex topics of D-1/D-2/D-3
- Easily understand O-levels/Matric Mathematics

Curriculum for this course

14 Topics

Number Systems

7 Sub Topics

- Types of numbers,Venn Diagram
- Number line,Number properties
- Operations on integers
- Operation on Decimals
- Divisibility Rules
- Rounding off and Significant Figures
- Types of Fractions

Square and Cube of Numbers

3 Sub Topics

- Finding Squares and Cubes of Numbers
- Finding Square and Cube Roots of a numbers
- Real life Applications

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

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

Line and Angle properties,Bisectors and Polygons

8 Sub Topics

- Recognize and contruct acute,obtuse and reflex angles using a protactor
- Properties of Adjacent, vertically opposite,reflex,complementary and supplementary angles
- 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 bisector
- Formula for perpendicular distance from point to line

Fractions and Percentages

8 Sub Topics

- Comparing and Ordering Fractions
- Application of BODMAS to Fractions.
- Percentage greater than 100
- 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
- World problems related to fractions and percentages in context of money,length and weight

Ratio,rate and propotions

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

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.
- Solving problems involving time and average speed
- Draw and interpret simple distance-time and draw Speed- time graphs involving one component

Trigonometric Ratios

4 Sub Topics

- Trigonometric Ratios
- Application of Trigonometric Ratios to find unknown side of Right-Angled Triangles
- Application of Trigonometric Ratios to find unknown angles of Right-Angled Triangles
- Applications of Trigonometric Ratios in real world context

Pythagoras Theorem

3 Sub Topics

- Solving problems using Pythagoras Theorem
- Applications of pythagoras Theorem in real- world
- Converse of pythagoras theorem

Algebraic expression and Factorization

6 Sub Topics

- Uderstanding the Algebraic terms such as variable, coefficient, constant etc
- Understanding the concept of commutative, assosiative, and distributive laws of four operations in algebra
- BODMAS rule in algebra
- Expansion of Algebraic Expression to find product
- Multiplication and Division of Algebraic fractions
- Factorization by taking common

Equations and inequalities

3 Sub Topics

- Solve linear equatios involving algebraic fractions in Mathematical and practical situation
- Use substitution method to calculate values of unknown variables
- Solve single and simultaneous linear inequalities in one variable and use number line to illustrate the answers

Introduction to coordinate geometry

3 Sub Topics

- Reinforce the concept of linear functions and understand the meaning of negative,positive and zero gradients on straight lines on the graph
- Gradient and intercept
- Demonstrate the concept of relationship between gradients of parallel and perpendicular lines to find missing gradient of given lines

Area and Volume

11 Sub Topics

- Conversion of metric units
- Conversion of area and volume units
- Concenteric and eccentric circles
- Calculate areas and perimeters of a parallelograms and trapezium
- Calculate the perimeter and area of any compound 2D shapes(involving whole shape and shaded regions)
- Reinforce surface area and volume of right prism (including triangular,rectangular prism and cylinders)
- Calculate surface area and volume of any simple and compound 3D objects (including right prism and pipe)and explain the method used(with both consistent and inconsistent unit)
- Calulate the missing dimension from the given area/perimeter/surface area/volume of all 2Dshapes and Right prism
- Use concepts of area,perimeter,surface area and volume in problem solving
- Approximate areas and perimeters, surface areas and volumes of shapes and object 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-LEVEL
- Matric

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Description

**TORUS ACADEMY **offers Middle School Mathematics online course.This is the two way communicative study to enhance basic concepts of learners and help them prepare exclusively for **O-LEVEL** Mathematics. It will comprehensively explain topic such as **NUMBER OF OPERATIONS, ALGEBRA ,GEOMETRY ETC.**

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About the instructor

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*Hi,My name is Ayesha Nadeem.I have the teaching experience of almost 3 years in domain of assisting Mathematics to O levels and A levels .I will be teaching you in a flexible way,with computer animations of mathematical *concept.If

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