Construction
Construct parallel and perpendicular lines
Bisect a given line segment
Construct angles 90 and 60 degrees.
Three dimensional figures
Identify the properties of cubes and cuboids
Identify the properties of pyramids and cones
Identity the properties of cylinders and spheres
Find volume of a cube and a cuboid.
Plane shapes
The similarities and differences between the following: square, rectangle, triangle, trapezium parallelogram and circle
The perimeter of a regular polygon: square, rectangle, triangle, trapezium, parallelogram and circle
The area of plane shapes such as squares, rectangles, parallelograms
The area of real life plane objects.
Algebraic Fraction
At the end of this lesson, the students should be able to understand Algebraic Fraction
Simple equations
Translate word sentences into mathematical equations
Use mathematical equations to represent word sentences
Solve simple equations and cross-check the answers.
Simplification of algebraic expressions
Identify and collect like terms in a given expression;
Identify the coefficient of a given algebraic term
Identify the positive and negative coefficients of a given algebraic term
Perform basic arithmetic operations on expressions of similar terms
Insert/remove brackets and simplify expressions;
Solve quantitative aptitude problems on the use of brackets.
Use of symbols
solve problems expressed in open sentences
identify the relationship between addition and subtraction; multiplication and division;
use letters to represent symbols or shapes in open sentences.
Solve open sentence problems involving two arithmetic operations;
Solve word problems involving use of symbols;
Solve quantitative aptitude problems on the use of symbols
Multiplication of numbers in base 2 numerals.
Students should be able to multiply two 2-digits binary numbers.
Subtraction of numbers in base 2 numerals.
Students should be able to subtract two 3-digit binary numbers.
Addition of numbers in base 2 numerals.
Students should be able to Add two or three 3-digits binary numbers.
Approximation
Approximate answers to addition and subtraction problems to a given degree of accuracy;
Approximate answers to multiplication and division problems to a given degree of accuracy;
Rounding numbers to the nearest 10, 100, and 1000;
Apply approximation involving basic operations in everyday life activities
Solve problems on quantitative reasoning in the above contents.
Estimation
Estimate the dimensions and distances within the school;
Estimate the capacity and mass of given objects;
Estimate other things in day to day activities;
Solve problems on quantitative reasoning in estimation
Multiplications and Divisions of fractions
Solve problems on multiplication of fractions;
Solve problems on division of fractions;
Solve word problems involving multiplication and division of fraction
Addition and subtraction of fractions
Solve given problems on addition and subtraction of fractions
Solve word problems involving addition and subtraction of fractions.
Addition and subtraction.
Add and subtract any given numbers correctly;
State the place value of each numbers in the sum or difference;
Draw and use number line to illustrate directed numbers;
Add and subtract positive and negative integers correctly on the number line;
Interpret and relate positive and negative numbers to everyday activities .
Factors And Multiples Of Numbers
At the end of this lesson, the students should be able to understand the Factors And Multiples Of Numbers
Fractions
Identify equivalent fractions of any given fraction;
Apply equivalent fractions in sharing of commodities, e.g. food, money,etc
Solve problems in quantitative aptitude reasoning in equivalent fractions;
Find equivalence of any given fraction
Arrange given fractions either in ascending or descending order;
Convert:
• fractions to decimals;
• decimals to fractions
• Convert:
• fractions to percentages;
• percentages to fractions
Conversion of base 10 numerals to binary numbers
Students should be able to convert base 10 numerals to binary numbers
Counting in Base 2
Students should be able to count in groups of twos.
HCF
Identify common factors of whole number
Find the HCF of whole numbers;
Identify the difference between LCM and HCF;
Solve problems on quantitative aptitude involving LCM and HCF whole numbers