Primary 5 Mathematics Scheme of Work [Free]

Primary 5 Mathematics Scheme of Work

In this academic session, students will learn how to perform division and multiplication with whole numbers containing more than four digits, as well as adding, dividing, and subtracting fractions. They will also learn how to solve problems involving squares and square roots.

The mathematics class is split into three sections Numbers and Algebra, Measurements and Geometry, and Statistics. Topics covered include Whole numbers, Roman numerals, multiplication and division of whole numbers, prime numbers, fractions, ratios, addition and subtraction of fractions, squares and square roots, estimation, percentages, algebraic processes

Teachers should teach students how to calculate by breaking down steps to the minimum and by encouraging the use of various strategies in solving math problems.

Primary 5 First Term Scheme of Work for Mathematics

LAGOS STATE GOVERNMENT MINISTRY OF EDUCATION UNIFIED SCHEMES OF WORK FOR PRIMARY SCHOOLSMathematics Scheme of Work for Primary/Basic 5 CLASSPrimary/Basic 5 SUBJECTMathematics TERMFirst TermWEEKTOPICSLearning Objectives1WHOLE NUMBERS -Counting and writing of numbers in thousands and millions Usage of abacus and number charts to identify and read numbers -Place value of digits in whole numbers -Place value of digits in decimal numbers -Quantitative reasoningPupils should be able to: i. count in thousands and millions ii. use abacus to form given numbers iii. categorize the value of a digit in a whole number from a given set off digits in decimal numbers or whole numbers iv. compare and order whole numbers to 100, 1000 v. round up nearest to the nearest 10. 000 vi. apply counting of large numbers in real life problems. vii. solve quantitative aptitude problems related to place value and whole numbers2ROMAN NUMERALS -Changing Arabic numerals into Roman numbers -Changing Roman numerals into Arabic numbers -Addition and subtraction involving roman numeralsPupils should be able to: i. convert Arabic numbers into Roman numbers ii. change roman numerals to Arabic numbers iii. add and subtract questions on roman numerals iv. solve quantitative aptitude problems on roman numerals3ADDITION AND SUBTRACTION OF NUMBERS -Addition of whole numbers in thousands and millions -Subtraction of whole numbers in thousands and millions -Real life problems on additon and subtraction an thousands and millions -Ouantitative reasoningPupils should be able to: i. add and subtract whole numbers involving three or more terms ii. tell addition story and subtraction story. iii. carry out correct addition and subtraction in everyday life activities correctly. iv. solve quantitative aptitude problems involving addition and subtraction of whole numbers and decimal numbers4MULTIPLICATION AND DIVISION OF WHOLE NUMBERS -Multiplication and division of three-digit numbers by three-digit numbers -Multiplication of numbers by zero and one -Real life problems on multiplication and division -Division of numbers by 10, 20…90, 100 200 and 1000, 2000… .. -Quantitative reasoningPupils should be able to: i. multiply and divide numbers with three digits by three digits ii. solve real life problems on multiplication and division of whole numbers iii. multiply numbers by zero and one iv. divide numbers by 10 and multiples of 10 up to 90, 100, 200 and 1000 respectively v. solve quantitative aptitude problems on multiplication and division of whole numbers5PRIME NUMBERS -Identification of odd and even numbers -Identification of prime numbers less than 200 -Lowest Common Multiples -Highest Common Factor -Quantitative ReasoningPupils should be able to: i. identify even and odd numbers in a given set of numbers ii. categorize prime numbers less than 200 from a given set of numbers iii. solve problems involving LCM and HCF iv. solve quantitative aptitude problems related to prime numbers and factors6FRACTIONS -Ordering of fractions -Changing fractions to decimals -Changing decimals to fractions -Changing fractions and decimals to percentage -Quantitative reasoningPupils should be able to: i. arrange fractions in ascending or descending ii. order change fractions to decimals and vice versa iii. convert fractions and decimals to percentages iv. solve real life problems. v. solve quantitative aptitude problems related to decimals, fractions and percentages7Review of the first half term’s and periodic test8RATIOS -Relationship between ratio and fractions -Solving real life problems on ratio -Quanåtative aptitudePupils should be able to: i. explain the meaning of ratio ii. explain ratio in terms of fraction iii. solve real life problems on ratio iv. solve quantitative aptitude problem related to ratio9ADDITION AND SUBTRACTION OF FRACTIONS -Addtion of fractions and mixed numbers -Subtraäion of fractions and mixed numbers -Addition of decimalPupils should be able to: i. add and subtract fractions with common denominators ii. add two proper fractions, improper fractions and mixed fractions iii. subtract two proper fractions, improper fractions and mixed fractions iv. apply addition and subtraction of proper and improper fractions into real fife problems v. use LCM method to add and subtract fractions vi. solve quantitative aptitude problems related to addition and subtraction of mixed numbers10DIVISION OF FRACTIONS -Division of decimals by whole numbers -Divison of fractions -Real life problems on division of decimals decimals and -Quantitative reasoningPupils should be able to: i. divide fractions ii. solve real life problems on division of fractions iii. apply the rule of Shifting decimal points to the left to obtain result of division of numbers by 10, 100 and 1000. iv. divide given decimals by whole numbers tell a division story on fractions and interpret to solve real-life problems v. quantitaåve aptitude on division of decimals and fractions11SQUARES AND SQUARE ROOTS -Squares of numbers -Square roos Square of whole numbers up to 50 -Square roots of whole numbers up to 900 -Real life problems on squares and square root of numbers -Quantitative reasonngPupils should be able to: i. find fre square of a given whole number more than 50 ii. find the square root of a perfect square of a whole number greater than 400 iii. perform basic operations on squares and square roots of numbers. iv. find the square root of perfect squares v. solve real life problems related to square and square roots vi. solve quantitative aptitude problems relating to squares and square roots of whole numbers12REVISION13EXAMINATION

Primary 5 Mathematics Scheme of Work for Second Term

	CLASS	Primary/Basic 5
	SUBJECT	Mathematics
	TERM	Second Term
WEEK	TOPICS	Learning Objectives
1	REVISION/ NUMBER LINE -Revision of 1st Term’s -Addition using number line -Real life problems -Quantitative reasoning	Pupils should be able to: i. revise first term’s work ii. add and subtract using number lines iii. solve quantitative aptitude problems related to addition and subtraction of integers using number lines
2	ESTIMATION -Rounding up numbers -Estimation sums, differences and product -Quantitative Reasoning	Pupils should be able to: i. round up numbers to the nearest 10, 100 nad whole numbers ii. rounding numbers to the nearest tenth, hundreth and thousandth iii. estimating sum, differences nad product iv. solve quantitative aptitude problems related with binary numbers.
3	PERCENTAGES -Meaning of percentages -Changing a percentage to a fraction of decimal and Vice versa -Express number as a percentage of another -Quantitative reasoning	Pupils should be able to: i. explain the term ‘percentage’ ii. calcualte the ratio of two numbers iii. solve question related to real life problems on percentage of another number iv. solve quantitative related questions on percentage
4	ALGEBRAIC PROCESSES -Simple equations -Solving equations. using the balance method -Solving real life problems using equations -Quantitative reasoning	Pupils should be able to: i. find missing numbers in open sentences ii. use letters to represent boxes in open sentences iii. solve real life problems involving equations iv. calculate the value of algebraic expressions by substitution v. solve quantitative aptitude problems on algebraic
5	COMMERCIAL MATHS MONEY Introduction to money -Conversion of the currency of a country to another county, -Profit and loss -Quantitatve reasoning	Pupils should be able to: i. recognize currencies used in Nigeria and other countries ii. convert from one currency to another, using the rate of conversion iii. solve problems involving profit and loss in real life problems iv. solve quantitative aptitude problems related to profit and loss in money
6	COMMERCIAL MATHS MONEY -Simple interest Discount and commission -Money transactions -Quantitative Reasoning	Pupils should be able to: i. explain the simple interest in business transactions. ii. solve problems on discount and commission iii. find commissions, discount, simple interest on real life problems e.g. post offices, markets, etc, iv. solve problems involving money transactions v. solve quantitative aptitude problems related to simple interest, discount, commission
7	Review ot the first half term’s work and periodic test	Pupils should be able to: i. review the first half term’s work ii. participate in the periodic test,
8	PLANE SHAPES (PERIMETER) -Meaning of perimeter -Perimeter of regular plane shapes -Perimeters of irregular plane shapes -Real life problems on perimeter -Quantitative aptitude	Pupils should be able to: i. explain the concept of perimeter ii. find the perimeter of regular and irregular shapes iii. solve the perimeters of a circle iv. relate perimeters to real life problems and solve v. solve quantitative aptitude related to perimeter of regular and irregular plane shapes
9	PLANE SHAPES (AREA) -Area of regular shapes -Area of irregular shapes -Area of right-angled triangle -Real life problem on area -Quantitative reasoning	Pupils should be able to: i. find the area of regular, irregular shapes and its unit ii. calculate the area of right angled triangle iii. solve real life problem on area of regular, irregular and right angled triangle iv. solve quantitative aptitude problems related to area regular, irregular and right angled triangle
10	VOLUME AND CAPACITY -Measurement of volume in cubes and cuboids using unit cubes – Measurernent of volume in cubes and cuboids using formula -Comparing volume of sphere and cuboids -Discovering ralationships between litre and cubic centimetre -Real life problem -Quantitative reasoning	Pupils should be able to: i. use units to find the volume of using cube and cuboids ii. use formula to find the volume of using cube and cuboids iii. find the relationships between litres and cubic centimetres iv. convert cm to litres and vice versa v. solve given problems in quantitative aptitude on volume and capacity
11	TIME -Average speed -Distance -Duration -Real life problems. -Quantitative reasoning	Pupils should be able to: i. find the duration between one time and another ii. calculate the distance covered within a length of time iii. solve the average speed of a moving object given the total distance travelled and the time taken iv. convert the units of time express the hours of a clock in minutes, seconds and vice versa v. solve real life problems on distance , time and speed. vi. solve quantitative aptitude relating to time’
12	PROJECT -Pupils are divided into two groups. Each group is to work on types of angles and types of triangles. Materials: ice-cream sticks, markers, cardboards and glue. Procedure: -Paint tie ice-cream sticks with markers of different colours, -arrange the sticks by using glue to paste them on a cardboard to form types of angles and types of triangles in each of the respective groups.	By the end of the lesson, students should be able to: 1. interact within the group and discuss how each project work is done.
12	Project Practical work and Revision of first term’s work and preparation for Examination.	Pupils should be able to: i. Realize the areas of weakness in the topics treated for the term.
13	Project Practical work and Revision of first term’s work and preparation for Examination.	Pupils should be able to: i. Realize the areas of weakness in the topics treated for the term.

Primary 5 Mathematics Scheme of Work for Third Term

	CLASS	Primary/Basic 5
	SUBJECT	Mathematics
	TERM	Third Term
WEEK	TOPICS	Learning Objectives
1	REVISION/ TEMPERATURE -Temperature of objects and towns in degrees celsius -Conversion of centigrade to Fahrenheit -Conversion of Fahrenheit to Centigrade -Real life problems on temperature -Quantitative reasoning	Pupils should be able to: Discuss the meaning of temperature. i. compare the degree of hotness or coldness in degree Celsius ii. convert a given temperature in Centigrade to Fahrenheit iii. change a given temperature in Fahrenheit to Centigrade iv. appreciate the usefulness of temperature in our daily life v. solve quantitative aptitude problems related to temperature
2	LINES, ANGLES AND BEARINGS -Parallel and perpendicular lines -Complementary and supplementary angles -Quantitative reasoning	Pupils should be able to: i. identify parallel and perpendicular lines in measuring and drawing angles, using the protractor ii. identify and calculate the complementary, opposite and supplementary angles by telling the directions accurately using angles in real life situations. iii. solve quantitative aptitude problems on parallel and perpendicular lines, complementary and supplementary lines
3	PLANE SHAPES (PROPERTIES) -Properties of a rhombus, square and rectangle -Quadrilaterals -Components of circle Real life problems. -Quantitative reasoning	Pupils should be able to: i. identify types and state basic propedies of rhombus square rectangle in relation to real life situations. ii. recognize quadrilaterals and state basic properties of quadrilaterals iii. use real object to discuss the component parts of a circle and draw a circle with a specified radius. iv. solve quantitative reasoning problems on properties of square, rectangle, quadrilaterals, circle solve real life problems
4	ANGLES -Angles -Types of angles Transversal -Measurement of angles -Sum of angles on a straight line and shapes -Quantitative reasoning	Pupils should be able to: i. explain angles as a space between two lines that meet ii. mention types of angles with examples in their immediate environment. iii. measure angles in degrees by using protractor use the parallel and transversal lines to determine: corresponding altemate and vertically opposite angles iv. solve real life problems on angles. v. solve quantitative aptitude problems on angles
5	THREE DIMENSIONAL SHAPES -Cube, cuboid and pyramid -Square base and triangular prism -Quantitative reasoning	Pupils should be able to: i. make three dimensional shapes using their net develop interest in the constructing nets of cube, cuboids and pyramid ii. identify prism and pyramid iii. solve real life problems. iv. solve quantitative aptitude problems related to three dimensional shapes
6	MEASUREMENT -Measurement of height -Conversion of units in height and distances -Measurement of distances -Quantitative Reasoning	Pupils should be able to: i. measure the height of some pupils, desk, flowering plants and short distances. ii. use tape to measure the dimensions of the classroom iii. compare heights of pupils in the classroom iv. convert units of measurement v. solve real life problems on measurement vi. solve quantitative aptitude vii. solve problems related to measurement of height and distances
7	Review of he first half term’s work and periodic test.	Pupils should be able to: i. review the first half term’s work ii. participate in the periodic test.
8	BINARY NUMBER -Binary number systems -Identification of numbers in base 2 -Conversion from base two to base ten and vice versa -Quantitative reasoning	Pupils should be able to: i. explain the concept of number systems ii. identify numbers written in base ten and two iii. convert from base two to base ten and vice versa iv. add and subtract numbers in base two v. solve quantitative aptitude vi. problems related with binary numbers
9	BINARY NUMBER -Addition of binary numbers -Subtraction of binary numbers -Quantitative remsoning	Pupils should be able to: i. add numbers in base two ii. subtract numbers in base two iii. solve quantitative aptitude problems related with binary numbers
10	DATA PRESENTATION -Defination of statistic Tally, pictogram, bar graph and pie chart	Pupils should be able to: i. explain statistics as the collection, classification, analysis, presentation and interpretaion of data ii. prepare a tally iii. represent data collected in pictogram, bar graph and pie chart iv. tell a statistic story, draw and interprete the information v. solve real life problem on statistic vi. solve given problem in quantitative aptitude on statistics
11	MEASURES OF CENTRAL TENDENCY -Median -Mean -Probability -Quantitative reasoning	Pupils should be able to: i. find the mode for a set of numbers ii. identify the median from a given set of numbers iii. calculate mean of a given set of numbers iv. solve problems on chances of events v. solve real life problems on measure of central tendencies and probability vi. solve quantitative aptitude problems relating to time’
12	Project/Practical work and Revision of first terms work	Pupils should be able to: Realize the areas of weakness in the topics treated for the term.
13	EXAMINATION