Year Six Mathematics Curriculum Specifications
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YEAR SIX MATHEMATICS CURRICULUM SPECIFICATIONS N o. 1.
Topic Whole Number s
Learning Area 1.1 Numbers Up To Seven Digits
1.2 Basic Operations With Numbers Up To Seven Digits
1.3 Mixed Operations With Numbers Up To Seven Digits
Learning Outcome 1.1.1 Name and write numbers up to seven digits 1.1.2 Determine the place value of the digits in any whole number of up to seven digits. 1.1.3 Writing numbers in extended notation. 1.1.4 Express whole numbers in decimals of a million and vice versa. Limit decimal terms up to 3 decimal places. 1.1.5 Express whole number in fractions of a million and vice versa. Limit decimal terms up to 3 decimal places. 1.1.6 Compare number values up to seven digits. 1.1.7 Round off numbers to the nearest tens, hundreds and thousands. 1.1.8 Round off numbers to the nearest ten thousands, hundred thousands and millions. 1.2.1 Add any two to five numbers to 9 999 999. 1.2.2 Subtract one number from bigger number less than 10 000 000. 1.2.3 Subtract successively from a bigger number less than 10 000 000. 1.2.4 Multiply up to six-digit numbers with a one-digit number. 1.2.5 Multiply up to six-digit numbers with a two-digit number. 1.2.6 Multiply up to six-digit numbers with 10, 100 and 1 000. 1.2.7 Divide numbers of up to seven digits by a one-digit number. 1.2.8 Divide numbers of up to seven digits by 10, 100 and 1 000. 1.2.9 Divide numbers of up to seven digits by two-digit number. 1.2.10 Solve addition problems involving numbers up to seven digits. 1.2.11 Solve subtraction problems involving numbers up to seven digits. 1.2.12 Solve multiplication problems involving
Wee k 1
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3
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5
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numbers up to seven digits. 1.2.13 Solve division problems involving numbers up to seven digits.
2.
N o.
Fraction s
Topic
2.1 Addition of Fractions
1.3.1 Compute mixed operations problems involving addition and multiplication. 1.3.2 Compute mixed operations problems involving subtraction and division. 1.3.3 Compute mixed operations problems involving brackets. 1.3.4 Solve problems involving mixed operations on numbers of up to seven digits. 2.1.1 Add three mixed numbers with the same denominator of up to 10. 2.1.2 Add three mixed numbers with the different denominator of up to 10. 2.1.3 Solve problems involving addition of mixed numbers.
Learning Area 2.2 Subtraction of Fractions
Learning Outcome
2.3 Multiplicatio n of Fractions
2.3.1 Multiply mixed numbers with a whole number. The whole number component of a mixed
2.4 Division of Fractions
2.4.1 Divide fractions with a whole number.
8
Wee k
2.2.1 Subtract involving three mixed numbers with the same denominator of up to 10. 2.2.2 Subtract involving three mixed numbers with different denominators of up to 10. 2.2.3 Solve problems involving subtraction of mixed numbers. 9 number is limited to three digits. The denominator of the fractional part of the mixed number is limited to less than 10.
Denominators for the dividend is limited to less than 10. The divisors is limited to less than 10 for both the whole number and fraction.
2.4.2
Divide
fractions
with
a
fraction.
Denominators for the dividend is limited to less than 10. The divisors is limited to less than 10 for both the whole number and fraction.
2.4.3 Divide mixed number with a whole number. Denominators for the dividend is limited to less
10
than 10. The divisors is limited to less than 10 for both the whole number and fraction.
2.4.4 Divide mixed number with a fraction. Denominators for the dividend is limited to less than 10. The divisors is limited to less than 10 for both the whole number and fraction.
3.
Decimal s
3.1 Mixed Operations With Decimals
4.
Percent age
4.1 Relationship Between Percentage, Fraction and Decimal.
3.1.1 Add and subtract three to four decimal numbers of up to 3 decimal places involving decimals numbers only. 3.1.2 Add and subtract three to four decimal numbers of up to 3 decimal places involving whole numbers and decimal numbers. 4.1.1 Convert mixed numbers to percentage. To relate mixed numbers to percentages, the numbers have to viewed as fractions. Mixed numbers have to be converted to improper fractions first, to give meaning to the relationship mixed numbers with percentages. Decimal numbers to values is limited to less tahn 10 and to two decimal places only.
4.1.2 Convert decimal numbers of value more than 1 to percentage. To relate mixed numbers to
10
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percentages, the numbers have to viewed as fractions. Mixed numbers have to be converted to improper fractions first, to give meaning to the relationship mixed numbers with percentages. Decimal numbers to values is limited to less tahn 10 and to two decimal places only.
4.1.3 Find the value for given percentage of a quantity. 4.1.4 Solve problems in real context imvolving relationships between percenrage, fractions and decimals. Solve problems in real life involving percentage calculation of income and expenditure, savings, profit and loss, discount, dividend or interest,, tax, commission, etc.
5.
Money
5.1 Money Up To RM10 Million
5.1.1 Perform mixed operations with money up to a value of RM10 million. Mixed operations exercise may also include brackets. Discuss problems involving various situations such as savings, income, expenditure, investments, cost price, selling price, profit, loss and discount.
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5.1.2 Solve problems in real context involving computation of money. Mixed operations exercise may also include brackets. Discuss problems involving various situations such as savings, income, expenditure, investments, cost price, selling price, profit, loss and discount.
6.
N
Time
Topic
6.1 Duration
Learning
6.1.1 Calculate the duration of an event between months. 6.1.2 Calculate the duration of an event between years. 6.1.3 Calculate the duration of an event between dates. 6.1.4 Compute time period from situations expressed in fractions of duration. 6.1.5 Solve problem in real context involving computation of time duration. Learning Outcome
13
Wee
o. 7.
Length
Area 7.1 Computatio n Of Length
7.1.1 Compute length from a situation expressed in fraction. The term fraction includes
k 13
mixed numbers.
7.1.2 Solve problem in real context involving computation of length. Problem involving computation of length may also include measuring, conversion of units and/or calculation of length. The scope of units of measurement for length involves cm, m and km. Teacher guides pupils to solve problems following Polya’s four-step model of, i. Understanding the problem ii. Devising a plan iii. Implementing the plan iv. Looking backs
8.
Mass
8.1 Computatio n Of Mass
8.1.1 Compute mass from a situation expressed in fraction. The term fraction includes mixed numbers. 8.1.2 Solve problem in real context involving computation of mass. Problem involving computation
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of mass may also include measuring, conversion of units and/or calculation of mass. The scope of units of measurement for mass involves g and kg. Teacher guides pupils to solve problems following Polya’s four-step model of, i. Understanding the problem ii. Devising a plan iii. Implementing the plan iv. Looking back
9.
Volume of Liquid
9.1 Computatio n Of Volume of Liquid
9.1.1 Compute volume of liquid from a situation expressed in fraction. The term fraction includes
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mixed numbers.
9.1.2 Solve problem in real context involving computation of volume of liquid. Problem involving computation of volume of liquid may also include measuring, conversion of units and/or calculation of volume of liquid. The scope of units of measurement for volume of liquid involves m and .
10 Shape . and Space
10.1 Two Dimensional Shapes
10.1.1 Find the perimeter of a two-dimensional composite shape of two or more quadrilaterals and trangles. Quadrilaterals is limited to squares and
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rectangles, and triangles to right-angled trangles.
10.1.2 Find the area of two-dimensional composite shape of two or more quadrilaterals and trangles. Quadrilaterals is limited to squares and rectangles, and triangles to right-angled trangles.
11 Shape . and Space
11.1 Three Dimensional Shapes
10.1.3 Solve problems in real context involving calculation of perimeter and area of twodimensional shapes. 11.1.1 Find the surface area of a threedimensional composite shape of two or more cubes and cuboids. Only cubes and cuboids used to form composite 3-D shapes.
11.1.2 Find the volume of a three-dimensional composite shape of two or more cubes and cuboids. Only cubes and cuboids used to form composite 3-D shapes.
11.1.3 Solve problems in real context involving
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12 Data . Handlin g
12.1 Average
calculation of surface area and volume of a three-dimensional shapes. 12.1.1 Calculate the average of up to five numbers. The value of averages is limited to three decimal places.
12.1.2 Solve problems in real contexts involving average. Include compound units for calculation of 12.2 Organising And Interpreting Data
average when dealing with money and time.
12.2.1 Construct a pie chart from a given set of data. 12.2.2 Determine the frequency, mode, range,mean, maximum and minumum value from a pie chart.
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Topic Whole Number s
Learning Area 1.1 Numbers Up To Seven Digits
1.2 Basic Operations With Numbers Up To Seven Digits
1.3 Mixed Operations With Numbers Up To Seven Digits
Learning Outcome 1.1.1 Name and write numbers up to seven digits 1.1.2 Determine the place value of the digits in any whole number of up to seven digits. 1.1.3 Writing numbers in extended notation. 1.1.4 Express whole numbers in decimals of a million and vice versa. Limit decimal terms up to 3 decimal places. 1.1.5 Express whole number in fractions of a million and vice versa. Limit decimal terms up to 3 decimal places. 1.1.6 Compare number values up to seven digits. 1.1.7 Round off numbers to the nearest tens, hundreds and thousands. 1.1.8 Round off numbers to the nearest ten thousands, hundred thousands and millions. 1.2.1 Add any two to five numbers to 9 999 999. 1.2.2 Subtract one number from bigger number less than 10 000 000. 1.2.3 Subtract successively from a bigger number less than 10 000 000. 1.2.4 Multiply up to six-digit numbers with a one-digit number. 1.2.5 Multiply up to six-digit numbers with a two-digit number. 1.2.6 Multiply up to six-digit numbers with 10, 100 and 1 000. 1.2.7 Divide numbers of up to seven digits by a one-digit number. 1.2.8 Divide numbers of up to seven digits by 10, 100 and 1 000. 1.2.9 Divide numbers of up to seven digits by two-digit number. 1.2.10 Solve addition problems involving numbers up to seven digits. 1.2.11 Solve subtraction problems involving numbers up to seven digits. 1.2.12 Solve multiplication problems involving
Wee k 1
2
3
4
5
6
7
numbers up to seven digits. 1.2.13 Solve division problems involving numbers up to seven digits.
2.
N o.
Fraction s
Topic
2.1 Addition of Fractions
1.3.1 Compute mixed operations problems involving addition and multiplication. 1.3.2 Compute mixed operations problems involving subtraction and division. 1.3.3 Compute mixed operations problems involving brackets. 1.3.4 Solve problems involving mixed operations on numbers of up to seven digits. 2.1.1 Add three mixed numbers with the same denominator of up to 10. 2.1.2 Add three mixed numbers with the different denominator of up to 10. 2.1.3 Solve problems involving addition of mixed numbers.
Learning Area 2.2 Subtraction of Fractions
Learning Outcome
2.3 Multiplicatio n of Fractions
2.3.1 Multiply mixed numbers with a whole number. The whole number component of a mixed
2.4 Division of Fractions
2.4.1 Divide fractions with a whole number.
8
Wee k
2.2.1 Subtract involving three mixed numbers with the same denominator of up to 10. 2.2.2 Subtract involving three mixed numbers with different denominators of up to 10. 2.2.3 Solve problems involving subtraction of mixed numbers. 9 number is limited to three digits. The denominator of the fractional part of the mixed number is limited to less than 10.
Denominators for the dividend is limited to less than 10. The divisors is limited to less than 10 for both the whole number and fraction.
2.4.2
Divide
fractions
with
a
fraction.
Denominators for the dividend is limited to less than 10. The divisors is limited to less than 10 for both the whole number and fraction.
2.4.3 Divide mixed number with a whole number. Denominators for the dividend is limited to less
10
than 10. The divisors is limited to less than 10 for both the whole number and fraction.
2.4.4 Divide mixed number with a fraction. Denominators for the dividend is limited to less than 10. The divisors is limited to less than 10 for both the whole number and fraction.
3.
Decimal s
3.1 Mixed Operations With Decimals
4.
Percent age
4.1 Relationship Between Percentage, Fraction and Decimal.
3.1.1 Add and subtract three to four decimal numbers of up to 3 decimal places involving decimals numbers only. 3.1.2 Add and subtract three to four decimal numbers of up to 3 decimal places involving whole numbers and decimal numbers. 4.1.1 Convert mixed numbers to percentage. To relate mixed numbers to percentages, the numbers have to viewed as fractions. Mixed numbers have to be converted to improper fractions first, to give meaning to the relationship mixed numbers with percentages. Decimal numbers to values is limited to less tahn 10 and to two decimal places only.
4.1.2 Convert decimal numbers of value more than 1 to percentage. To relate mixed numbers to
10
11
percentages, the numbers have to viewed as fractions. Mixed numbers have to be converted to improper fractions first, to give meaning to the relationship mixed numbers with percentages. Decimal numbers to values is limited to less tahn 10 and to two decimal places only.
4.1.3 Find the value for given percentage of a quantity. 4.1.4 Solve problems in real context imvolving relationships between percenrage, fractions and decimals. Solve problems in real life involving percentage calculation of income and expenditure, savings, profit and loss, discount, dividend or interest,, tax, commission, etc.
5.
Money
5.1 Money Up To RM10 Million
5.1.1 Perform mixed operations with money up to a value of RM10 million. Mixed operations exercise may also include brackets. Discuss problems involving various situations such as savings, income, expenditure, investments, cost price, selling price, profit, loss and discount.
12
5.1.2 Solve problems in real context involving computation of money. Mixed operations exercise may also include brackets. Discuss problems involving various situations such as savings, income, expenditure, investments, cost price, selling price, profit, loss and discount.
6.
N
Time
Topic
6.1 Duration
Learning
6.1.1 Calculate the duration of an event between months. 6.1.2 Calculate the duration of an event between years. 6.1.3 Calculate the duration of an event between dates. 6.1.4 Compute time period from situations expressed in fractions of duration. 6.1.5 Solve problem in real context involving computation of time duration. Learning Outcome
13
Wee
o. 7.
Length
Area 7.1 Computatio n Of Length
7.1.1 Compute length from a situation expressed in fraction. The term fraction includes
k 13
mixed numbers.
7.1.2 Solve problem in real context involving computation of length. Problem involving computation of length may also include measuring, conversion of units and/or calculation of length. The scope of units of measurement for length involves cm, m and km. Teacher guides pupils to solve problems following Polya’s four-step model of, i. Understanding the problem ii. Devising a plan iii. Implementing the plan iv. Looking backs
8.
Mass
8.1 Computatio n Of Mass
8.1.1 Compute mass from a situation expressed in fraction. The term fraction includes mixed numbers. 8.1.2 Solve problem in real context involving computation of mass. Problem involving computation
14
of mass may also include measuring, conversion of units and/or calculation of mass. The scope of units of measurement for mass involves g and kg. Teacher guides pupils to solve problems following Polya’s four-step model of, i. Understanding the problem ii. Devising a plan iii. Implementing the plan iv. Looking back
9.
Volume of Liquid
9.1 Computatio n Of Volume of Liquid
9.1.1 Compute volume of liquid from a situation expressed in fraction. The term fraction includes
14
mixed numbers.
9.1.2 Solve problem in real context involving computation of volume of liquid. Problem involving computation of volume of liquid may also include measuring, conversion of units and/or calculation of volume of liquid. The scope of units of measurement for volume of liquid involves m and .
10 Shape . and Space
10.1 Two Dimensional Shapes
10.1.1 Find the perimeter of a two-dimensional composite shape of two or more quadrilaterals and trangles. Quadrilaterals is limited to squares and
15
rectangles, and triangles to right-angled trangles.
10.1.2 Find the area of two-dimensional composite shape of two or more quadrilaterals and trangles. Quadrilaterals is limited to squares and rectangles, and triangles to right-angled trangles.
11 Shape . and Space
11.1 Three Dimensional Shapes
10.1.3 Solve problems in real context involving calculation of perimeter and area of twodimensional shapes. 11.1.1 Find the surface area of a threedimensional composite shape of two or more cubes and cuboids. Only cubes and cuboids used to form composite 3-D shapes.
11.1.2 Find the volume of a three-dimensional composite shape of two or more cubes and cuboids. Only cubes and cuboids used to form composite 3-D shapes.
11.1.3 Solve problems in real context involving
16
12 Data . Handlin g
12.1 Average
calculation of surface area and volume of a three-dimensional shapes. 12.1.1 Calculate the average of up to five numbers. The value of averages is limited to three decimal places.
12.1.2 Solve problems in real contexts involving average. Include compound units for calculation of 12.2 Organising And Interpreting Data
average when dealing with money and time.
12.2.1 Construct a pie chart from a given set of data. 12.2.2 Determine the frequency, mode, range,mean, maximum and minumum value from a pie chart.
17
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