Mathematics Syllabus for First Year Entry
Syllabus of Years 5 and 6 of primary schools
Working with integers up to a billion
Perception of numbers:
- place value of a digit (million, billion)
- prime and composite numbers
- Highest Common Factor
- Lowest Common Multiple
- writing numbers, comparison of numbers, rank position - square numbers
- powers of numbers (meaning, recognition, notation)
Operations with integers:
- multiplying by a 3-digit number
- dividing by a 2-digit number
- evaluating sums, differences, products and quotients
- properties of operations
Expressing a number as a product of its prime factors
Fractions
Concept of fractions:
- part of a whole and part of a group of objects
- fractions with common denominators or different denominators
- (comparison and equivalence)
- arranging fractions in ascending or descending order
- mixed numbers
- simplifying fractions
- changing fractions into decimals
Operations with fractions:
- addition and subtraction
- multiplication and division
Decimals
Concept of decimals:
- place value of a digit (tenths, hundredths, thousandths)
- relation with fractions
Operations with decimals:
- addition, subtraction
- multiplication with an integer or a decimal
- division by an integer
- calculating a sum or a difference
- rounding off decimals
Ratios, Proportions, Percentages
- Concept of a ratio
- Equal ratios
- Proportional quantities
- Finding a missing quantity
- Use of ratios to solve problems
- Cross-multiplication
- Concept of a percentage
- Relation with fractions and decimals
- Finding the percentage of a quantity
- Finding the original quantity given the percentage
Mensuration
- Concepts: perimeter, area, capacity, weight, time
- Area of a rectangle, square, parallelogram and triangle
- Surface area of a cube, cuboid and pyramid
- Volume of a cuboid, cube
- Using the most appropriate unit of measurement for various quantities
- Metric Units (cm, m, km, L, g, kg, cm², m², cm³)
- Measuring time
- hour, ½ hr, ? hr, min., second
- use of a calendar (days, weeks, months, year, century)
- Measuring angles
- Using money in real life situations
Geometry
3-Dimensional shapes:
- concept of a cube, cuboid, pyramid
- recognising faces, edges, vertices
- surface area
- constructions using nets
Polygons (triangles, squares, rectangles, parallelograms, pentagons, hexagons, etc)
Types of triangles:
naming, classification, simple properties, constructions
Angles:
- types of angles (right angle, acute, obtuse)
- complementary and supplementary angles
- construction, comparison
- measuring angles.
Lines:
- straight lines
- line segments
- parallel and intersecting lines
- perpendicular lines
Circle:
- construction
- radius, diameter
- circumference
- area (approximation)
Line Symmetry :
- construction of symmetrical shapes
- completing a figure given the line of symmetry
- collecting and tabulating data
- construction
Co-ordinates
Arithmetic mean
Probability (simple activities)
- recording results
- drawing conclusions
- making predictions
Solution of Problems
Steps in the solution of a problem
Strategies in the solution of a problem:
- constructing a pattern using colours, shapes and numbers
- making a plan
- forming a table
- choosing the appropriate operation (addition, subtraction, multiplication, division)
- using the appropriate operation for the solution of problems
- using logical thinking
- estimating and checking
- writing down the question to complete a problem
Problems using:
- investigation
- integers, fractions, decimals
- geometry
- mensuration
- proportions, percentages, interest, mixing/dividing in a given ratio
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