Sk Kayan Sitiawan Dokumen Sbt Dan Modul Sbt
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- Pages: 14
Next, add the tens column. Ten Thousands
Thousands Hundreds
5 +
7
2
1
4
5
9
1 3
1
•
13 tens = 1 hundred and 3 tens.
•
Regroup ten tens to the hundreds column.
Then, add the hundreds column.
•
1
1
Thousands Hundreds
5
Ones
3
1 ten + 7 tens + 5 tens = 13 tens.
+
Tens
6
•
Ten Thousands
1
1
Tens
Ones
6
3
7
2
1
4
5
9
8
3
1
1
1
1 hundred + 3 hundreds + 4 hundreds. = 8 hundreds.
Add the thousands column. Ten Thousands
Thousands Hundreds
5 +
•
Tens
Ones
6
3
7
2
1
4
5
9
7
8
3
1
6 thousands + 1 thousand = 7 thousands
21
03modul matematik (SBT) 21-34
21
23/04/2007, 6:14 PM
Finally, add the ten thousands column Ten Thousands
1
1
Thousands Hundreds
5 + 5
Tens
Ones
6
3
7
2
1
4
5
9
7
8
3
1
= 5 ten thousands
Step 4 Adding three or four numbers (without trading / with trading) eg 1:
22 351 + 1 227 + 401 =
+
eg 2:
22 351 1 227 401 23 979 287 210 + 30 742 +45 209 + 392 = 111 287 30 45
+ 363
1 2 7 2 3 5
1 1 4 0 9 5
0 2 9 2 3
Place the digit in the correct columns and add from the right to the left.
22
03modul matematik (SBT) 21-34
22
23/04/2007, 6:14 PM
Games Prepare a set of number cards.
0
1
2
3
4
5
6
7
8
9
•
Ask pupils to choose 3 to 5 cards.
•
Form the largest value and the smallest value from the cards chosen.
•
Total up the numbers.
Example: 1
7
1
4
0
7 410 + 1 047 = Repeat by choosing different sets of cards. Form different mathematical sentences. Find the sum. 7 410 + 1 047 = 8 457 _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________
23
03modul matematik (SBT) 21-34
23
23/04/2007, 6:14 PM
Exercise 1 Name : ______________________ Class : ________
Date : ________
A. Solve
8 1.
7
1
0
5
3
What is the largest number that can be formed from the given numerals? ______________________________________
2.
What is the smallest number that can be formed from the given numerals? ___________________________________
3.
Find the total of these two numbers. +
=
B. Answer the questions 1.
If 4 + 4 = 8, what is the total of 4 000 + 4 000? ______________________________________
2.
If 6 + 4 = 10, what is the total of 60 000 + 40 000? ______________________________________
3.
If 8 + 7 = 15, what is the total of 8 000 + 7 000? ______________________________________
4.
Find the total of 3 000 + 2 000 + 5 000. ______________________________________
5
What is the total of 20 000 + 20 000 + 800 + 800? ______________________________________
24
03modul matematik (SBT) 21-34
24
23/04/2007, 6:14 PM
Exercise 2 Name : ______________________
1.
Class : ________
Date : ________
Find the total of 32 600 and 47 400. ____________________________________________________________
2.
Add 29 865 and 19 805. ____________________________________________________________
3.
Find the sum of 10 763 and 49 263. ____________________________________________________________
4.
79 100 and 900 make ____________________________________________________________
5.
Ten thousand and five thousand two hundred make ____________________________________________________________
6.
Add twenty-five thousand and twenty-five thousand. ____________________________________________________________
7.
Find the sum of three hundred four thousand and fifty-two and one hundred six thousand two hundred and ten. ____________________________________________________________
25
03modul matematik (SBT) 21-34
25
23/04/2007, 6:14 PM
Lesson
: 5
Topic
: Whole numbers
Learning area
: Multiplication with the highest product of 1 000 000
Learning objective
: Multiply any two numbers with the highest product of 1 000 000
Learning outcome
: Multiply two-digit and three-digit numbers with 0,10,100 and 1000
Previous knowledge : Basic multiplication Problem
: Pupils are not able to multiply two-digit numbers with 0,10,100 and 1000
Step 1 Teacher explains how to multiply using the multiplication table. 1.
1X 0
= 0
2.
1 X 10
= 10
3.
1 X 100 = 100
4.
1 X 1000 = 1000
26
03modul matematik (SBT) 21-34
26
23/04/2007, 6:14 PM
Numbers
X 0
X 10
X 100
1
7
13
72
35
47
58
86
98
107
140
27
03modul matematik (SBT) 21-34
27
23/04/2007, 6:14 PM
X 1000
Lesson
: 6
Topic
: Whole numbers
Learning area
: Mixed operations
Learning objective
: Perform mixed operations involving multiplication and division
Learning outcome
: Calculate mixed operations on whole numbers involving multiplication and division
Previous knowledge : Pupils have learnt multiplication and division Problem
: Pupils are not able to memorise the time-tables and cannot recite them by heart
Vocabulary
: Mixed operations
SUGGESTED ACTIVITIES
40 ÷ 5 x 23 =
Example 1:
First we solve 40 ÷ 5 40 ÷ 5 = 8
8 5 40 -- 4 0 0
Then, multiply the answer by 23 2 3 x 8 = 184 3x8=2 4
2
23 x 8 1 84
write 4 ones to its own place
Regroup 2 tens to its place holder 2 x 8 = 16,
16 + 2 = 18
So, 40 ÷ 5 x 23 = 184
28
03modul matematik (SBT) 21-34
28
23/04/2007, 6:14 PM
8 4
4 320 x 5 ÷ 100
Example 2:
First we solve 4 320 x 5 1
1
4 320 x 5 21 600 Then, divide the answer by 100 21 600 ÷ 100 = 216 21 600 100 So, 4 320 x 5 ÷ 100 = 216 Notes : •
Emphasise on the operations involved.
•
For mixed operations of division and multiplication, solve the operation which comes first.
•
After getting the answer, solve it using the second operation.
29
03modul matematik (SBT) 21-34
29
23/04/2007, 6:14 PM
Exercise 1 Name : ______________________
Class : ________
Date : ________
Calculate.
1.
23 x 8 ÷ 4 =
6.
320 x 100 ÷ 1000 =
2.
160 ÷ 4 x 3 =
7.
4 112 ÷ 8 x 6 =
3.
64 x 8 ÷ 32 =
8.
2 500 x 8 ÷ 100 =
4.
30 ÷ 6 x 125 =
9. 4 536 ÷ 24 x 70 =
5.
25 x 8 ÷ 20 =
10. 432 ÷ 16 x 52 =
30
03modul matematik (SBT) 21-34
30
23/04/2007, 6:14 PM
Lesson
: 7
Topic
: Whole numbers
Learning areas
: Multiplication with the highest product of 1 000 000 Division with the highest dividend of 1 000 000
Learning objectives : i.
Multiply any two numbers with the highest product of 1 000 000
ii. Divide a number less than 1 000 000 by a two-digit number Learning outcomes : Solve problems involving multiplication. Solve problems involving division Previous knowledge : Pupils have learnt multiplication and division Problem
: Pupils are not able to allocate the answers by its place values
Vocabulary
: Times, multiply, multiplied by, multiple of, estimation, lattice, multiplication, divide, dividend, quotient, divisor, divisibility, remainder
31
03modul matematik (SBT) 21-34
31
23/04/2007, 6:14 PM
SUGGESTED ACTIVITIES Example 1: A company produces 6 903 pairs of socks in a week. How many pairs of socks does the company produced in a month?
Step 1 •
List out the relevant information i.
6 903 pairs of socks in a week
ii.
Number of pairs of socks in a month
iii.
A month has 4 weeks
iv.
Decide what operation is needed to solve the problem
•
Write the number sentence : 4 x 6 903 =
Step 2
•
1st week
2nd week
3rd week
4th week
6903
6903
6903
6903
Solve 3
1
6903 x 4 27612 There are 27 612 pairs of socks produced in a month.
32
03modul matematik (SBT) 21-34
32
23/04/2007, 6:14 PM
Example 2: A salesman managed to sell cellphones or mobile phones to 34 retail shops. He sold 267 sets to each shop. How many cellphones or mobile phones did he sell? Notes: •
If multiplication involves 3-digit and 2-digit, shows the steps clearly. 2 6 x 3 1 0 6 +8 0 1 9 0 7
7 4 8 0 8
Firstly, 2 6 7 x 4 Secondly, 2 6 7 x 3 0 Total
Or 2 6 x 3 2 2 4 8 0 2 1 1 8 0 +6 0 0 9 0 7
7 4 8 0 0 0 0 0 8
7 60 200 7 60 200
33
03modul matematik (SBT) 21-34
33
23/04/2007, 6:14 PM
x 4 x 4 x 4 x 30 x 30 x 30
Example 3 : There are 5 682 mangosteens to be kept inside six identical boxes. Find the number of mangosteens in each box?
Step 1 •
List out the relevant information i.
5 682 mangosteens
ii.
Keep inside 6 boxes equally
iii.
Find the number of mangosteens in each box
•
Decide the operation used
•
Write the number sentence :
5 682 ÷ 6 =
Step 2 •
Solve the problem by using long division •
Divide 56 by 6
•
Remainder 2 hundreds
•
Regroup with 8 tens to become 28 tens
•
28 tens divided by 6 is 4 with remainder 4 tens
•
Regroup 2 ones to 40 ones, becomes 42
•
42 divided by 6 is 7
947 68 6 55682 - 54 28 - 24 42 - 42 0
Write the six times table 6 12 18 24 30 36 42 48 54
34
03modul matematik (SBT) 21-34
34
23/04/2007, 6:14 PM
Thousands Hundreds
5 +
7
2
1
4
5
9
1 3
1
•
13 tens = 1 hundred and 3 tens.
•
Regroup ten tens to the hundreds column.
Then, add the hundreds column.
•
1
1
Thousands Hundreds
5
Ones
3
1 ten + 7 tens + 5 tens = 13 tens.
+
Tens
6
•
Ten Thousands
1
1
Tens
Ones
6
3
7
2
1
4
5
9
8
3
1
1
1
1 hundred + 3 hundreds + 4 hundreds. = 8 hundreds.
Add the thousands column. Ten Thousands
Thousands Hundreds
5 +
•
Tens
Ones
6
3
7
2
1
4
5
9
7
8
3
1
6 thousands + 1 thousand = 7 thousands
21
03modul matematik (SBT) 21-34
21
23/04/2007, 6:14 PM
Finally, add the ten thousands column Ten Thousands
1
1
Thousands Hundreds
5 + 5
Tens
Ones
6
3
7
2
1
4
5
9
7
8
3
1
= 5 ten thousands
Step 4 Adding three or four numbers (without trading / with trading) eg 1:
22 351 + 1 227 + 401 =
+
eg 2:
22 351 1 227 401 23 979 287 210 + 30 742 +45 209 + 392 = 111 287 30 45
+ 363
1 2 7 2 3 5
1 1 4 0 9 5
0 2 9 2 3
Place the digit in the correct columns and add from the right to the left.
22
03modul matematik (SBT) 21-34
22
23/04/2007, 6:14 PM
Games Prepare a set of number cards.
0
1
2
3
4
5
6
7
8
9
•
Ask pupils to choose 3 to 5 cards.
•
Form the largest value and the smallest value from the cards chosen.
•
Total up the numbers.
Example: 1
7
1
4
0
7 410 + 1 047 = Repeat by choosing different sets of cards. Form different mathematical sentences. Find the sum. 7 410 + 1 047 = 8 457 _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________ _________________________________
23
03modul matematik (SBT) 21-34
23
23/04/2007, 6:14 PM
Exercise 1 Name : ______________________ Class : ________
Date : ________
A. Solve
8 1.
7
1
0
5
3
What is the largest number that can be formed from the given numerals? ______________________________________
2.
What is the smallest number that can be formed from the given numerals? ___________________________________
3.
Find the total of these two numbers. +
=
B. Answer the questions 1.
If 4 + 4 = 8, what is the total of 4 000 + 4 000? ______________________________________
2.
If 6 + 4 = 10, what is the total of 60 000 + 40 000? ______________________________________
3.
If 8 + 7 = 15, what is the total of 8 000 + 7 000? ______________________________________
4.
Find the total of 3 000 + 2 000 + 5 000. ______________________________________
5
What is the total of 20 000 + 20 000 + 800 + 800? ______________________________________
24
03modul matematik (SBT) 21-34
24
23/04/2007, 6:14 PM
Exercise 2 Name : ______________________
1.
Class : ________
Date : ________
Find the total of 32 600 and 47 400. ____________________________________________________________
2.
Add 29 865 and 19 805. ____________________________________________________________
3.
Find the sum of 10 763 and 49 263. ____________________________________________________________
4.
79 100 and 900 make ____________________________________________________________
5.
Ten thousand and five thousand two hundred make ____________________________________________________________
6.
Add twenty-five thousand and twenty-five thousand. ____________________________________________________________
7.
Find the sum of three hundred four thousand and fifty-two and one hundred six thousand two hundred and ten. ____________________________________________________________
25
03modul matematik (SBT) 21-34
25
23/04/2007, 6:14 PM
Lesson
: 5
Topic
: Whole numbers
Learning area
: Multiplication with the highest product of 1 000 000
Learning objective
: Multiply any two numbers with the highest product of 1 000 000
Learning outcome
: Multiply two-digit and three-digit numbers with 0,10,100 and 1000
Previous knowledge : Basic multiplication Problem
: Pupils are not able to multiply two-digit numbers with 0,10,100 and 1000
Step 1 Teacher explains how to multiply using the multiplication table. 1.
1X 0
= 0
2.
1 X 10
= 10
3.
1 X 100 = 100
4.
1 X 1000 = 1000
26
03modul matematik (SBT) 21-34
26
23/04/2007, 6:14 PM
Numbers
X 0
X 10
X 100
1
7
13
72
35
47
58
86
98
107
140
27
03modul matematik (SBT) 21-34
27
23/04/2007, 6:14 PM
X 1000
Lesson
: 6
Topic
: Whole numbers
Learning area
: Mixed operations
Learning objective
: Perform mixed operations involving multiplication and division
Learning outcome
: Calculate mixed operations on whole numbers involving multiplication and division
Previous knowledge : Pupils have learnt multiplication and division Problem
: Pupils are not able to memorise the time-tables and cannot recite them by heart
Vocabulary
: Mixed operations
SUGGESTED ACTIVITIES
40 ÷ 5 x 23 =
Example 1:
First we solve 40 ÷ 5 40 ÷ 5 = 8
8 5 40 -- 4 0 0
Then, multiply the answer by 23 2 3 x 8 = 184 3x8=2 4
2
23 x 8 1 84
write 4 ones to its own place
Regroup 2 tens to its place holder 2 x 8 = 16,
16 + 2 = 18
So, 40 ÷ 5 x 23 = 184
28
03modul matematik (SBT) 21-34
28
23/04/2007, 6:14 PM
8 4
4 320 x 5 ÷ 100
Example 2:
First we solve 4 320 x 5 1
1
4 320 x 5 21 600 Then, divide the answer by 100 21 600 ÷ 100 = 216 21 600 100 So, 4 320 x 5 ÷ 100 = 216 Notes : •
Emphasise on the operations involved.
•
For mixed operations of division and multiplication, solve the operation which comes first.
•
After getting the answer, solve it using the second operation.
29
03modul matematik (SBT) 21-34
29
23/04/2007, 6:14 PM
Exercise 1 Name : ______________________
Class : ________
Date : ________
Calculate.
1.
23 x 8 ÷ 4 =
6.
320 x 100 ÷ 1000 =
2.
160 ÷ 4 x 3 =
7.
4 112 ÷ 8 x 6 =
3.
64 x 8 ÷ 32 =
8.
2 500 x 8 ÷ 100 =
4.
30 ÷ 6 x 125 =
9. 4 536 ÷ 24 x 70 =
5.
25 x 8 ÷ 20 =
10. 432 ÷ 16 x 52 =
30
03modul matematik (SBT) 21-34
30
23/04/2007, 6:14 PM
Lesson
: 7
Topic
: Whole numbers
Learning areas
: Multiplication with the highest product of 1 000 000 Division with the highest dividend of 1 000 000
Learning objectives : i.
Multiply any two numbers with the highest product of 1 000 000
ii. Divide a number less than 1 000 000 by a two-digit number Learning outcomes : Solve problems involving multiplication. Solve problems involving division Previous knowledge : Pupils have learnt multiplication and division Problem
: Pupils are not able to allocate the answers by its place values
Vocabulary
: Times, multiply, multiplied by, multiple of, estimation, lattice, multiplication, divide, dividend, quotient, divisor, divisibility, remainder
31
03modul matematik (SBT) 21-34
31
23/04/2007, 6:14 PM
SUGGESTED ACTIVITIES Example 1: A company produces 6 903 pairs of socks in a week. How many pairs of socks does the company produced in a month?
Step 1 •
List out the relevant information i.
6 903 pairs of socks in a week
ii.
Number of pairs of socks in a month
iii.
A month has 4 weeks
iv.
Decide what operation is needed to solve the problem
•
Write the number sentence : 4 x 6 903 =
Step 2
•
1st week
2nd week
3rd week
4th week
6903
6903
6903
6903
Solve 3
1
6903 x 4 27612 There are 27 612 pairs of socks produced in a month.
32
03modul matematik (SBT) 21-34
32
23/04/2007, 6:14 PM
Example 2: A salesman managed to sell cellphones or mobile phones to 34 retail shops. He sold 267 sets to each shop. How many cellphones or mobile phones did he sell? Notes: •
If multiplication involves 3-digit and 2-digit, shows the steps clearly. 2 6 x 3 1 0 6 +8 0 1 9 0 7
7 4 8 0 8
Firstly, 2 6 7 x 4 Secondly, 2 6 7 x 3 0 Total
Or 2 6 x 3 2 2 4 8 0 2 1 1 8 0 +6 0 0 9 0 7
7 4 8 0 0 0 0 0 8
7 60 200 7 60 200
33
03modul matematik (SBT) 21-34
33
23/04/2007, 6:14 PM
x 4 x 4 x 4 x 30 x 30 x 30
Example 3 : There are 5 682 mangosteens to be kept inside six identical boxes. Find the number of mangosteens in each box?
Step 1 •
List out the relevant information i.
5 682 mangosteens
ii.
Keep inside 6 boxes equally
iii.
Find the number of mangosteens in each box
•
Decide the operation used
•
Write the number sentence :
5 682 ÷ 6 =
Step 2 •
Solve the problem by using long division •
Divide 56 by 6
•
Remainder 2 hundreds
•
Regroup with 8 tens to become 28 tens
•
28 tens divided by 6 is 4 with remainder 4 tens
•
Regroup 2 ones to 40 ones, becomes 42
•
42 divided by 6 is 7
947 68 6 55682 - 54 28 - 24 42 - 42 0
Write the six times table 6 12 18 24 30 36 42 48 54
34
03modul matematik (SBT) 21-34
34
23/04/2007, 6:14 PM
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