year 6 sample calculator activities

Calculator Activities Year 6Suggested samples

Mathematics UnitCurriculum Development Department

Ministry of EducationOctober 2010

Pupil’s Name: ________________________ Class: ________Calculator Activity

Mathematics Year 6

Year 6: Calculator Activities based on syllabus items

1.1.3 Prime Numbers

Activity: (Investigation)

Use the calculator to identify prime numbers which lie between 100 and 200 (C).

Steps:

(a)Organise these numbers in the 100-number grid format as before. (b)Study these numbers: 102, 104, 106, 108… Are some of them prime

numbers? Strike out numbers that are not prime.(c) Look at these numbers: 105, 110, 115, 120, 125… Are any of them

prime? Strike out numbers that are not prime.(d)Divide a number, say N, by 3. If the answer is a whole number, then N

is not prime. If the answer is not a whole number then continue to divide N by 7.

(e)If N is divisible by 7, then N is not a prime. If not, continue to divide N by 11.

(f) If N is divisible by 11, then N is not a prime. If not, continue to divide N by 13.

(g)If N is divisible by 13, then N is not prime. If not, N is a prime.(h)Finally list down all the prime numbers that lie between 100 and 200.

1.1.3

Guide pupils to factorise composite numbers into prime factors.

Method 1: (Using factor tree)

Method 2: (Using continued division)

Determine if the number is odd or even. If even it can be divided by 2, then continue as follows:

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2 30

3 15

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Mathematics Year 6

Method 3: (Using calculators, for large numbers only)

Determine all prime factors of 120.

120 = 12 x 10

= 3 x 4 x 2 x 5

= 3 x 2 x 2 x 2 x 5

1.1.7

Activity: (Investigation)

Use the calculator to investigate squares, square roots, cubes and cube roots.

Examples:

i. Find the whole numbers which lies between and

ii. Calculate the values of 113, 123,…, 193, 203 manually. Then use the calculator to check the accuracy of your answers.

iii. Find the largest whole number that is less than .

iv. Investigate the pattern: 12+21

123+321

1234+4321.

Predict the answer for 12345+54321, 123456+654321, 1234567+7654321, and 12345678+87654321.

Then use the calculator to check your answers.

1.3.2

Introduce division by repeated subtraction to the more able

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Mathematics Year 6

pupils, to divide 3-digit numbers by 2-digits.

Example: 496 ÷ 14 = ?

14 3 9 6

-2 8 0 20

1 1 6

-1 1 2 8

4 28

X double X10

1 14 14 x10 140

228 28 x 10 280

456 56 x 10 560

8 112 112x10 1120

Use the calculator to check the accuracy of the division. Find remainders on the calculator.

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Mathematics Year 6

1.3.3

With calculators

Demonstrate the multiplication of numbers by multiples of ten. Ensure pupils think out the answers mentally and then allow them to use the calculator to check the answers.

Examples:

1. 36 x 20 can be calculated in two steps.

i. Press 36 x 2 =

[display: 72]

ii. Press x 10 = [720]

2. 645 x 60 can be calculated in two steps.

i. Press 645 x 10 = [6450]

ii. Press x 6 = [38700]

Demonstrate the division of numbers by multiples of tens. Ensure pupils think out the answers mentally and then allow them to use the calculator to check the answers.

Examples:

1. 336 ÷ 20 can be calculated in two steps.

i. Press 336 ÷ 2 = [168]

ii. Press ÷ 10 = [16.8]

2. 6480 ÷30 can be calculated in two steps.

i. Press 6480 ÷ 2 = [3240]

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Mathematics Year 6

ii. Press ÷10 = [324]

1.5.5- Decimals

Use the calculator to check answers and compute more difficult examples. Involving remainders. Make pupils estimate the answers mentally and then allow them to use the calculator to check answers.

1.6.3- Percentage Use the calculator to calculate percentage of quantities, e.g., 12.8% of 89

in realistic settings or project work.

1.6.4- Percentage Use the calculator to solve word problems involving more complex

percentages or fractions.1.7.3- Algebra

Use the calculator to evaluate expressions involving larger numbers or decimal numbers.

1.7.4- Algebra

Use the calculator to solve equations involving larger numbers or decimal numbers.

1.7.5- Algebra

Use the calculator to solve equations involving larger numbers, fractional numbers or decimal numbers.

2.1.3- Volume and Capacity

Use the calculator to solve real life problems involving volume and capacity.

3.2.2- Area & Measurement

Use the calculator to compute the areas of faces of real-life objects. Pupils learn to measure lengths to nearest mm or cm and use the measurements in computations.

3.2.3- Volume & Measurement

Use the calculator to solve real-life problems. Pupils learns to measure lengths and use the measurements in computations.

4.4 - Average

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Mathematics Year 6

Investigation The calculator enables pupils to carry out real life investigations such as, Calculate the overall average weight of all pupils in the class Calculate the average of pocket money received by pupils in the Year 6 in

the school.

1.1.3

1. Investigation: Identify all prime numbers between 101 and 200.

List down all the prime numbers between 101 and 200:

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101 102 103 104 105 106 107 108 109 110

111 112 113 114 115 116 117 118 119 120

121 122 123 124 125 126 127 128 129 130

131 132 133 134 135 136 137 138 139 140

141 142 143 144 145 146 147 148 149 150

151 152 153 154 155 156 157 158 159 160

161 162 163 164 165 166 167 168 169 170

171 172 173 174 175 176 177 178 179 180

181 182 183 184 185 186 187 188 189 190

191 192 193 194 195 196 197 198 199 200

Topics: 1.1- Prime and Composite Numbers


Mathematics Year 6

____________________________________________________________________

____________________________________________________________________

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Mathematics Year 6

Suggested Procedure ( teacher’s reference)

1. Guide pupils to focus on even numbers, e.g., Are this number 124 prime? (“No”). Could you explain? (“It can be divided by 2.”). Show me the result when 124 is divided by 2 (“62”, Pupils show results on the calculator).

2. Continue with two more even numbers, e.g., 152 and 188. Then guide pupils to strike out all even numbers in the grid.

3. Continue with investigation of numbers ending with 5.4. Continue with investigation of numbers divisible by 3, starting with 101, 103, 107,

109 (numbers not yet struck out).5. Continue divisibility by 11 and then 13.6. Final check the remaining numbers (through the steps 1 to 5). 7. Numbers that are not struck out are prime numbers.8. Final list:

101 102 103 104 105 106 107 108 109 110

111 112 113 114 115 116 117 118 119 120

121 122 123 124 125 126 127 128 129 130

131 132 133 134 135 136 137 138 139 140

141 142 143 144 145 146 147 148 149 150

151 152 153 154 155 156 157 158 159 160

161 162 163 164 165 166 167 168 169 170

171 172 173 174 175 176 177 178 179 180

181 182 183 184 185 186 187 188 189 190

191 192 193 194 195 196 197 198 199 200

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Mathematics Year 6

1.1.3

2. Factorise the following numbers into prime factors. You may use your calculator to check your answers.

Numbers Working

a. 260 =

b. 588 =

c. 1080 =

d. 1210 =

e. 1092 =

f. 1323 =

g. 2025 =

h. 4290 =

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Mathematics Year 6

1.1

3. Try working out the answers mentally. Then use the calculator to check your answers.

Numbers My answerCalculator

answer

i. Find the difference of 23 458 and 17 222

ii. What is the sum of 2356, 1238 and 5600

iii. I think of a number. When I double it, the result is 2626. What is my number?

iv. I think of a number. When I add 48 to it, the result is 599. What is my number?

v. I think of a number. When I subtract 70 from it, the result is 9103. What is my number?

vi. (5678 – 1234) x (78 – 38)

vii. 3860, 3825, 3790, __________,

viii. 8600 –1450 + 6200

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Mathematics Year 6

1.1.7

4. Use the calculator to find answers to the following investigative questions.

Investigation Answers

a. Find two whole numbers between 50 and 99

b. Find the largest whole number that is less than 999

c. Find the smallest whole number that is more than 999

d. Determine whether the number 24 is closer to 550 or closer to 600

e. Which is larger in value? A- 672 + 213

or B- 335 x 2300

f. List the three cubic numbers that lie between 60 and 340

g. Find all the cubic numbers that lie between 3000 and 5000.

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Mathematics Year 6

h. Find the greatest whole number that is less than 12.33?

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Mathematics Year 6

1.1.7

5. Use the calculator to investigate the number pattern below.

12+21 =

123+321 =

1234+4321 =

Predict the following answers.

12345 + 54321 =

123456 + 654321 =

1234567 + 7654321 =

12345678 + 87654321 =

123456789 + 987654321 =

Then use the calculator to check your answers.

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Mathematics Year 6

(a) Investigate the calculator method for finding the remainder in a long division(b) Use the calculator to perform divisions and find remainders where necessary.

Questions Calculator Display(up to 3 decimal places) Remainder

a) 234 ÷ 8 29.25 2

b) 318 ÷ 12

c) 2233 ÷ 41

d) 5678 ÷ 50

e) 5678 ÷ 50

f) 5678 ÷ 50

Try to describe how the remainder of 318 ÷ 12 is obtained.

Step 1: Calculator display:_(__________________)

Step 2: Subtract (___________) from the answer in display_

Step 3: The result is ( ). We then multiply this by ( ) and obtain the remainder.

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Topics: 1.3.2 Finding remainder of a division


Mathematics Year 6

Investigation: Find the average weight and average height of pupils in our class

1. Form two groups in the class. Appoint group leaders.

2. Record the measurements in a table, in separate tables – Boys and Girls. See the suggested format of table below.

3. Use the calculator to compute (correct to 1 decimal place only) the average weight (in kg only) and the average height (in cm only) of the (i) boys, (ii) girls and (iii) class.

4. Perform and record the following calculations:

Total weight of boys, of girls and of the class

Computation of averages: average weight of boys, of girls and of the class

Total height of boys, of girls and of the class

Computation of averages: average height of boys, of girls and of the class

5. Present the results in table form in a manila card.

6. Discuss the results obtained. “How many pupils in the class have weight less than (i) 40kg, (ii) the average weight of the class?”, etc.

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Topics: 4.4 Average (Real life investigations)


Mathematics Year 6

Boys

NameWeight (kilogram;

correct to 1 decimal place)

Height (centimetres; correct to nearest cm)

Total of all boys

Number of boys

Average of boys

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Mathematics Year 6

Girls

NameWeight (kilogram;

correct to 1 decimal place)

Height (centimetres; correct to nearest cm)

Total of all girls

Number of girls

Average of girls

The class

Gender Total Weight

(kilogram; correct to 1 decimal place)

Total Height (centimetres; correct to

nearest cm)Boys Girls

All pupilsNumber of pupils in class

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Mathematics Year 6

Average of class

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year 6 sample calculator activities

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