YEARLY PLAN MATHEMATICS YEAR 5

TOPIC

LEARNING AREA

LEARNING OBJECTIVES
1. Develop number sense up to 1 000 000

LEARNING OUTCOMES
i. Name and write numbers up to 1 000 000. ii. Determine the place value of the digits in any whole number up to 1 000 000. iii. Compare value of numbers up to 1 000 000. iv. Round off numbers to the nearest tens, hundreds, thousands, ten thousands and hundred thousands.

NUMBERS TO 1 000 000

WHOLE NUMBER S

ADDITION WITH THE HIGHEST TOTAL OF 1 000 000 SUBTRACTION WITHIN THE RANGE OF 1 000 000 3. Subtract numbers from a number less than 000 1 000
i. Subtract one number from a bigger number less than 1 000 000. ii. Subtract successively from a bigger number less than 1 000 000. iii. Solve subtraction problems.

2. Add numbers up to the total of 1 000 000

i. Add any two to four numbers to 1 000 000. ii. Solve addition problems.

YEARLY PLAN MATHEMATICS YEAR 5

YEARLY PLAN MATHEMATICS YEAR 5

TOPIC

LEARNING AREA
MULTIPLICATI ON WITH THE HIGHEST PRODUCT OF 1 000 000

LEARNING OBJECTIVES
4. Multiply any two numbers with the highest product of 1 000 000

LEARNING OUTCOMES
i. Multiply up to five digit numbers with a. a one-digit number,

b. a two digit number,

c. 10, 100 and 1000 ii. Solve problems involving multiplication. i. Divide numbers up to six digits by a. one-digit number, b. 10, 100, 1000,

WHOLE NUMBER S

DIVISION WITH THE HIGHEST DIVIDEND OF 1 000 000

5. Divide a number less than 1 000 000 by two-digit number.

c. Two - digit number.

ii. Solve problems involving division.

6. Perform mixed MIXED OPERATIONS operations involving multiplication and division.

i. Calculate mixed operation on whole numbers involving multiplication and division. ii. Solve problems involving mixed operations of division and multiplication.

YEARLY PLAN MATHEMATICS YEAR 5

TOPIC
FRACTIO NS

LEARNING AREA
IMPROPER FRACTIONS MIXED NUMBERS

LEARNING OBJECTIVES
1. Understand improper fractions. 2. Understand mixed numbers
to 10.

LEARNING OUTCOMES
i. Name and write improper fractions with denominators up ii. Compare the value of the two improper fractions. i. Name and write mixed numbers with the denominators up to 10. ii. Convert improper fractions to mixed numbers and viceversa. i. Add two mixed numbers with the same denominators up

ADDITION OF FRACTIONS SUBTRACTION OF FRACTIONS

3. Add two mixed numbers. 4. Subtract mixed numbers.

to 10. ii. Add two mixed numbers with different denominators up to 10. iii. Solve problems involving addition of mixed numbers. i. Subtract two mixed numbers with the same denominator up to 10. ii. Subtract two mixed numbers with different denominators up to 10. iii. Solve problems involving subtraction of mixed numbers.

YEARLY PLAN MATHEMATICS YEAR 5

MULTIPLICATI ON OF FRACTIONS 5. Multiply any proper fractions with a whole number up to 1 000.
i. Multiply whole numbers with proper fractions. ii. Solve problems involving multiplication of fractions.

TOPIC
DECIMAL S

LEARNING AREA

LEARNING OBJECTIVES
i. ii.

LEARNING OUTCOMES
Name and write decimal numbers to three decimal places. Recognize the place value of thousandths. Convert fractions of thousandths to decimal numbers and vice versa. Round off decimal numbers to the nearest a) tenths, b) hundredths. Add any two to four decimal numbers up to three decimal places involving a) decimal numbers and decimal numbers, b) whole numbers and decimal numbers,

DECIMAL NUMBERS

1. Understand and use the vocabulary

iii.

related to decimals. iv.

ADDITION OF DECIMAL NUMBERS

2. Add decimal numbers up to three decimal places.

i.

ii.

Solve problems involving addition of decimal numbers.

YEARLY PLAN MATHEMATICS YEAR 5

SUBTRACTION OF DECIMAL NUMBERS 3. Subtract decimal numbers up to three decimal places.
i. ii. iii. Subtract a decimal number from another decimal up to three decimal places. Subtract successively any two decimal up to three decimal places. Solve problems involving subtraction of decimal numbers.

i.

Multiply any decimal numbers up to three decimal places with a) a one-digit number, b) a two-digit number, c) 10, 100 and 1 000.

MULTIPLICATI ON OF DECIMAL NUMBERS DIVISION OF DECIMAL NUMBERS

4.

Multiply decimal numbers up to three decimal places with a whole number.

ii. i.

Solve problems involving multiplication of decimal numbers. Divide a whole number by a) 10 b) 100 c) 1 000

5.

Divide decimal numbers up to three decimal places by a whole number.

ii.

Divide a whole number by a) a one-digit number,

YEARLY PLAN MATHEMATICS YEAR 5

b) a two-digit whole number iii. Divide a decimal number of three decimal places by a) a one-digit number b) a two-digit whole number c) 10 d) 100. iv. Solve problem involving division of decimal numbers.

TOPIC
PERCENTA GE

LEARNING AREA
PERCENTAGE

LEARNING OBJECTIVES
1. Understand and use percentage

LEARNING OUTCOMES
i. Name and write the symbol for percentage. ii. State fraction of hundredths in percentage. iii. Convert fraction of hundredths to percentage and vice versa.

YEARLY PLAN MATHEMATICS YEAR 5

CONVERT FRACTIONS AND DECIMALS TO PERCENTAGE 2. Relate fractions and decimals to percentage.

i. Convert proper fractions of tenths to percentage. ii. Convert proper fractions with the denominators of 2, 4, 5, 20, 25 and 50 to percentage. iii. Convert percentage to fraction in its simplest form. iv. Convert percentage to decimal number and vice versa.

TOPIC
MONEY

LEARNING AREA
MONEY TO RM 100 000

LEARNING OBJECTIVES
1. Understand and use the vocabulary related to money.
i.

LEARNING OUTCOMES
Read and write the value of money in ringgit and sen up to RM 100 000.

YEARLY PLAN MATHEMATICS YEAR 5

i. ii. Add money in ringgit and sen up to RM 100 000. Subtract money in ringgit and sen within the range of RM 100 000. Multiply money in ringgit and sen with a whole number, fraction or decimal with products within RM 100 000. iv. Divide money in ringgit and sen with dividend up to RM 100 000. Perform mixed operation of multiplication and division involving money in ringgit and sen up to RM 100 000. Solve problems in real context involving money in ringgit and sen up to RM 100 000.

2. Use and apply mathematics concepts when dealing with money up to RM 100 000.

iii.

v. vi.

TOPIC

LEARNING AREA

LEARNING OBJECTIVES

LEARNING OUTCOMES

YEARLY PLAN MATHEMATICS YEAR 5

i. Read and write time in the 24-hour system. Relate the time in the 24-hour system to the 12-hour system. iii. i. Convert time from the 24-hour system to the 12-hour system and vise versa. Convert time in fractions and decimals of a minute to seconds. Convert time in fractions and decimals of an hour to minutes and to seconds. iii. iv. Convert time in fractions and decimals of a day to hours, minutes and seconds. Convert units of time from:

READING AND WRITING TIME

1. Understand the vocabulary related to time.

ii.

TIME
RELATIONSHIP BETWEEN UNITS OF TIME

2. Understand the relationship between units of time.

ii.

a) Century to years and vice versa. b) Century to decades and vice versa.

YEARLY PLAN MATHEMATICS YEAR 5

TOPIC

LEARNING AREA
BASICS OPERATIONS INVOLVING TIME

LEARNING OBJECTIVES
i. ii. iii. iv. i.

LEARNING OUTCOMES

3. Add, subtract, multiply and divide units of time.

Add time in hours, minutes and seconds. Subtract time in hours, minutes and seconds. Multiply time in hours, minutes and seconds. Divide time in hours, minutes and seconds. Identify the start and end time of an event. Calculate the duration of an event, involving: a) Hours, minutes and seconds. b) Days and hours.

TIME
4. Use and apply DURATION knowledge of time to find the duration.

ii.

iii. iv.

Determine the start or end of an event from a given duration of time. Solve problems involving time duration in fractions and/or decimals of hours, minutes and seconds.

YEARLY PLAN MATHEMATICS YEAR 5

TOPIC

LEARNING AREA

LEARNING OBJECTIVES

LEARNING OUTCOMES

MEASURING LENGTH RELATIONSHIP BETWEEN UNITS OF LENGTH

1. Measure and compare distances. 2. Understand the relationship between units of length.

i. ii.

Describe by comparison the distance of one kilometer Measure using scales for distance between places.

i. ii. i.

Relate metre and kilometer. Convert metre to kilometer and vice versa Add and subtract units of length involving conversion of units in: a) Kilometres,

LENGTH

BASIC OPERATIONS INVOLVING LENGTH

3. Add, subtract, multiply and divide units of length.

ii.

b) Kilometres amd metres. Multiply and divide units of length in kilometers involving conversion of units with : a) a one-digit number b) 10, 100 and 1 000 iii. Solve problems involving basic operations on length.

YEARLY PLAN MATHEMATICS YEAR 5

TOPIC
MASS

LEARNING AREA

LEARNING OBJECTIVES
1. Comparing mass of objects.
grams.

LEARNING OUTCOMES
i. Measure and record masses of objects in kilograms and ii. Compare the masses of two objects using kilogram and gram, stating the comparison in multiples or fractions iii. Estimate the masses of objects in kilograms and grams. i. Convert units of mass from fractions and decimals of a kilogram and grams and vice versa. ii. Solve problems involving conversion of mass units in fraction and/or decimals. i. Add and subtract units of mass involving conversion of units in: a) Kilogrames, b) Kilogrames amd grams. ii. Multiply and divide units of mass in kilograms involving conversion of units with : a) a one-digit number b) 10, 100 and 1 000

COMPARING MASS 2. Understand the relationship between units of OPERATIONS ON MASS mass. 3. Add, subtract, multiply and divide units of mass.

YEARLY PLAN MATHEMATICS YEAR 5

iii. Solve problems involving basic operations on mass.

TOPIC
VOLUME OF LIQUID

LEARNING AREA
COMPARING VOLUME

LEARNING OBJECTIVES
1. Measure and compare volumes of liquid using standard units.

LEARNING OUTCOMES
i. Measure and record the volumes of liquid in a smaller metric unit given the measure in fractions and/or decimals of a larger unit. ii. Estimate the volumes of liquid involving fractions and decimals in litres and mililitres. iii. Compare the volumes of liquid involving fractions and decimals using litres and mililitres.

YEARLY PLAN MATHEMATICS YEAR 5

RELATIONSHIP BETWEEN UNITS OF VOLUME

2. Understand the relationship between units of volume of liquid.

i. Convert unit of volumes involving fractions and decimals in litres and vice versa. ii. Solve problem involving volume of liquid.

TOPIC
VOLUME OF LIQUID

LEARNING AREA
OPERATIONS ON VOLUME OF LIQUID

LEARNING OBJECTIVES
3. Add, subtract, multiply and divide units of volume.
a) litres,

LEARNING OUTCOMES
i. Add units of volume involving mixed decimals in: b) mililitres, c) litres and mililitres. ii. Subtract units of volume involving mixed decimals in:

a) litres, b) mililitres,

YEARLY PLAN MATHEMATICS YEAR 5

c) litres and mililitres.
iii. Multiply units of volume involving mixed number using: a) a one digit number b) 10, 100, 1000 involving conversion of units. iv. Divide units of volume using: a) Up to two digit number b) 10, 100, 1000 involving mixed decimals. v. Divide unit of volume using a) a one digit number b) 10, 100, 1000 involving conversion of units. vi. Solve problems involving computations for volume of liquids.

TOPIC

LEARNING AREA

LEARNING OBJECTIVES

LEARNING OUTCOMES

YEARLY PLAN MATHEMATICS YEAR 5

i. Measure the perimeter of the following composite 2-D shapes a) square and square b) rectangle and rectangle c) triangle and triangle d) square and rectangle e) square and triangle

SHAPE AND SPACE

COMPOSITE TWODIMENSIONAL SHAPES

1. Find the perimeter of composite 2-D shapes

f) rectangle and triangle. ii. Calculate the perimeter of the following composite 2-D shapes. a) square and square b) rectangle and rectangle c) triangle and triangle d) square and rectangle e) square and triangle f) rectangle and triangle. iii. Solve problems involving perimeters of composite 2-D shapes.

YEARLY PLAN MATHEMATICS YEAR 5

i. Measure the area of the following composite 2-D shapes.

a. square and square

b. rectangle and rectangle

2. Find the area of composite 2-D shapes.

ii.

c. square and rectangle Calculate the area of the following composite 2-D shapes:

a. square and square

b. rectangle and rectangle c. square and rectangle

iii.
i.

Solve problems involving areas of composite 2-D shapes. Measure the volume of the following composite 3-D shapes: a) cube and cube b) cuboid and cuboid

COMPOSITE THREE DIMENSIONAL SHAPES

1. Find the volume of composite 3-D shapes.

c) cube and cuboid ii. Calculate the volume of the composite 3-D shapes following a) cube and cube b) cuboid and cuboid c) cube and cuboid iii. Solve problems involving volume of composite 3-D shapes.

YEARLY PLAN MATHEMATICS YEAR 5 TOPIC LEARNING AREA LEARNING OBJECTIVES

1. Understand and use the vocabulary AVERAGE related to average. 2. Use and apply knowledge of
i. ii. iii.

LEARNING OUTCOMES
Describe the meaning of average. State the average of two or three quantities. Determine the formula for average.

i. ii.

Calculate the average using formula. Solve problem in real life situation.

DATA HANDLIN G
ORGANISING AND INTERPRETING DATA

average. 1. Understand the vocabulary relating to data organization in graphs. 2. Organize and interpret data from tables and charts.

i.

Recognize frequency, mode, range, maximum and minimum value from bar graphs.

i. ii.

Construct a bar graph from a given set of data. Determine the frequency, mode, range, average, maximum and minimum value from a given graph.