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MightY Math
for 7-9 year olds Maturing Mathematician BOOK 1
Sailing Into
Mathematics Kim Freeman
From the publisher - Mahobe Resources (NZ) Ltd We hope you enjoy these sample pages from the Mighty Math series. The actual eBook is 64 pages and can be purchased from our website www.mahobe.co.nz, from many other ebook websites or other book websites. It provides a structured, easy-to-follow series of fun activities to stimulate and challenge the maturing mathematician. The full book contains pages on methods of multiplication, number patterns, ordinals and counting up to 1000, adding and subtracting strategies, fractions and money calculations. Go hard, play fair and enjoy your mathematics!
Mighty Math, Maturing Mathematician Book 1, Sailing Into Mathematics Author, Kim Freeman eBook Version First Published in 2007 by: Mahobe Resources (NZ) Ltd P.O. Box 109-760 Newmarket, Auckland 1149 New Zealand. Www.mahobe.co.nz © Mahobe Resources (NZ) Ltd. ISBN10: 1877216879 ISBN13: 9781877216879
MAHOBE
MightY Math
for 7-9 year olds Maturing Mathematician BOOK 1
Sailing Into
Mathematics Kim Freeman
Mighty Math, Maturing Mathematician Book 1, Sailing Into Mathematics Author, Kim Freeman eBook Version First Published in 2007 by: Mahobe Resources (NZ) Ltd P.O. Box 109-760 Newmarket, Auckland 1149 New Zealand. www.mahobe.com © Mahobe Resources (NZ) Ltd. ISBN10: 1877216879 ISBN13: 9781877216879
2
What is found in this book? In this book you look at: Methods of Multiplication, Addition and Subtraction.
5H 4 = 20 30 20
half of 4 = 2 add the zero
39
+
10
2 H 3 = 6 50
18
8 H 7 = 56
30+ 9 + 10 + 8 40 + 17
40
= 57 Money
Fractions
20
50
20 10
10 = $1 one
Maturing Mathematician
4
10 Mahobe Resources (NZ) Ltd
SUDOKU The challenge of Sudoko is to fill the grid with numbers. The big grid has the dimensions 9 x 9. This is separated into 9 smaller boards of 3 x 3. Here are the rules: 1. You can only use the numbers 1 to 9. 2. Within each 3 x 3 grid you must place ALL the numbers from 1 - 9. 3. You cannot use the same number twice in any row or column. This means ALL the numbers from 1 - 9 must appear on each row and each column. Now complete the Sudoku challenge.
1 5 4 7 8 3 6 3 2 5 9 6 6 4 5 8 2 1 7 Mahobe MaturingResources Mathematician (NZ) Ltd
6 1 9 8 7 8 6 4 1 9 5 2 9 7 1 4 2 3 6
8 2 9 5 3 4 7 5 2 7 3 6 4 1 2 3 7 6 5 4 Mahobe Maturing Resources Mathematician (NZ) Ltd
LEARNING THE 4s To multiply by 4 : Add the number 4 times. or Double the number, then double again.
4H 12 12 doubled is 24 24 doubled is 48 ˆ 4H 12 = 48
22 = ........................ 4H 3 = ........................ 4H
25 = ........................ 4H 7 = ........................ 4H
32 = ........................ 4H 9 = ........................ 4H
34 = ........................ 4H 13 = ........................ 4H
47 = ........................ 4H 15 = ........................ 4H
55 = ........................ 4H 18 = ........................ 4H Mahobe Resources (NZ) Ltd
9
Maturing Mathematician
LEARNING THE 5s 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 To multiply by 5: 1.
If the number is even, take half the number and put a zero after it.
5H 4 = 20 5H 16 = 80 half of 16 = 8 add the zero
half of 4 = 2 add the zero
2.
If the number is odd, subtract 1 from the number, halve it Then put a five after it.
5H 7 = 35 5H 13 = 65 7 - 1 = 6 half of 6 = 3
Maturing Mathematician
13 - 1 = 12 half of 12 = 6 add the 5
add the 5
10
Mahobe Resources (NZ) Ltd
Even Numbers
Odd Numbers
5H 6 = ........................ 5H 9 = ........................
5H 8 = ........................ 5H 11 = ........................
5H 14 = ........................ 5H 15 = ........................
5H 18 = ........................ 5H 17 = ........................
5H 20 = ........................ 5H 19 = ........................
5H 22 = ........................ 5H 21 = ........................
5H 26 = ........................ 5H 23 = ........................
5H 28 = ........................ 5H 25 = ........................
5H 30 = ........................ 5H 31 = ........................ Mahobe Resources (NZ) Ltd
11
Maturing Mathematician
FINGER MULTIPLICATION
We all carry a calculator around with us that is simple to use and easy to learn. We can all use our fingers to learn the multiplication tables for the hardest number combinations - 6, 7, 8, 9, and 10. Step ONE: Remember these finger values.
6
7
8
9
10
Step TWO: Now try multiplying 8 H 7=
8 H 7 Step THREE: Count the extended fingers - these are 10s
20 30
40 50
10 Mahobe Resources (NZ) Ltd
13
Maturing Mathematician
Step FOUR: Multiply the folded fingers.
2 H 3 = 6
Step FIVE: Finally, add the two numbers together.
50 + 6 = 56
8 H 7 = 56
You have now found the answer.
7
H 9 40 20 30 50 60 10 3H 1=3 7
Maturing Mathematician
14
H 9 = 63 Mahobe Resources (NZ) Ltd
Use your finger calculator to multiply the following.
7H 7 = ...............
6H 8 = ...............
9H 9 = ...............
8H 7 = ...............
6H 10 = ............... Mahobe Resources (NZ) Ltd
15
Maturing Mathematician
Use your finger calculator to multiply the following.
7H 8 = ............... 7H 10 = ...............
9H 8 = ............... 9H 6 = ...............
8H 8 = ............... 8H 6 = ...............
9H 7 = ............... 6H 9 = ...............
9H 10 = ............... 6H 6 = ...............
7H 9 = ............... 8H 10 = ...............
6H 7 = ............... 8H 9 = ...............
7H 6 = ............... 9H 9 = ............... Maturing Mathematician
16
Mahobe Resources (NZ) Ltd
MORE MULTIPLICATION Multiplication by 9: Method 1 This method is called fingers multiplication by 9. The previous finger multiplication works for combinations of 6, 7, 8, 9 and 10. This method only works for the 9 times tables. Step ONE: Put your two hands on the table in front of you. Your fingers can each represent the numbers 1 to 10.
1
2
789
34 5 6
10
Step TWO: Try multiplying 9 H 3. Curl under the finger representing 3.
1
4 56
1 2 2 3
7
Step THREE: The first digit in the answer is the number of fingers before the curled under finger. The second digit in the answer is the number of fingers after the curled under finger.
9 H 3 = 27 Mahobe Resources (NZ) Ltd
17
Maturing Mathematician
Fingers Multiplication by 9 Use the fingers method to calculate these 9 x multiplications.
9H 3=...............
9H 8=...............
9H 5=...............
9H 7=...............
9H 2=............... 9H 9=...............
9H 10=............... 9H 6=............... Maturing Mathematician
18
Mahobe Resources (NZ) Ltd
Multiplication by 9: Method 2 This is called the one less = nine method. Step ONE: Subtract 1 from the number you are multiplying 9 by. This is the first digit. Step TWO: The two digits that make up the answer add to give 9. Calculate the second digit.
9 H 4 = 36 4-1=3
3+6=9
Remember that these methods only work up until 9x10. Find a calculator and write out the 9 times table up to 30. Can you see a pattern emerging?
9H 3=............... 9H 7=...............
9H 8=............... 9H 2=...............
9H 5=............... 9H 9=...............
9H 10=............... 9H 6=............... Mahobe Resources (NZ) Ltd
19
Maturing Mathematician
NUMBER RELATIONSHIPS Complete the tables.
-2
31 41 51 61
28
-5
+2
56
9
15
22 32 42 52
-7
82
+5
+7
15 25 35 45
37 44
Put the circled numbers above in order - smallest to biggest ................................................................................... Complete these additions
50 + 43
37 + 52
+
+ 56
Mahobe Resources (NZ) Ltd
50
26
21
+
77
45 86
Maturing Mathematician
ARITHMETIC Use the diagrams to complete the sums.
16 + .......... = ............... 21 - .......... = 16 17 + .......... = ............... 25 - .......... = 17
......... + 5 = ............... .......... - .......... = 41 ......... + 16 = ............... .......... - .......... = ............... Maturing Mathematician
22
Mahobe Resources (NZ) Ltd
15 + .......... = ............... 27 - .......... = ...............
......... + 8 = ............... .......... - .......... = 24
1.
1.
5, 10, 15, ....., 25
1.
100 - 78
3.
8, 6, 4, ....., 0
2.
100 - 4
4.
1, 2, 4, 8, ....., 32
4.
100 - 90
5.
10, 20, 30, .....
5.
100 - 58
6.
3, 6, 9, ....., 15
7.
100 - 91
Mahobe Resources (NZ) Ltd
23
2.
3.
4.
5.
6.
7.
Maturing Mathematician
= 50
+
+
= ...............
= 30 = 20
+
-
= ...............
-
+
= ...............
Circle 2 numbers that add up to 20
19 15 4 18 11 3 5
4 17 1 6 3 10
3 6 9 12 14 15
Circle 3 numbers that add up to 50
20 18 11 25 32 45 5 If and
9 22 2 15 12 13 20 5 32 44 11 2 8 10
+ = 50 + + = 36
Mahobe Resources (NZ) Ltd
then
25
+
= .......... Maturing Mathematician
NUMBERS to 1000 The blocks shown are arranged in 3 different ways - in single units, in groups of ten and groups of one hundred.
1 group of 100 units (hundreds) 2 groups of 10 units (tens) 6 single units (ones)
1 2 6 One hundred and twenty six
2 0 4 4 single units
2 group of 100 units
zero groups of 10 units
Two hundred and four Maturing Mathematician
26
Mahobe Resources (NZ) Ltd
Write down the number that each picture represents.
.....................
.....................
.....................
.....................
..................... .....................
.....................
..................... Mahobe Resources (NZ) Ltd
27
Maturing Mathematician
PLACE VALUE Write the number of objects in each place-value table.
Mahobe Resources (NZ) Ltd
29
H
T
U
H
T
U
H
T
U
H
T
U
Maturing Mathematician
PLACE VALUE Write the correct number.
10 100
10 10
135
100 100 10 100 10
1
1 1 1 1
1 1 1 1
1 1 1 1
.......................................................
100 10 10 100 100 10 10 100 100 10 10 1 1
100 10 10 10 10 100 10 10 10 10 10
.......................................................
.......................................................
100 11 11 100 100
100 100 10 10 1 1 1 1 1 100 100 10 1 1 1 1
.......................................................
.......................................................
100 100 100 100
100 100 100 100 10 10 100 100 10 10 1 1 1 1 100 100 10 10 1 1
100 100
....................................................... Maturing Mathematician
10 10 1 1 10 1 10
....................................................... 30
Mahobe Resources (NZ) Ltd
PLACE VALUE Write the number and the number word.
H
T
O
H
T
O
342 three hundred and forty two
H
T
H
Mahobe Resources (NZ) Ltd
T
O
O
31
H
T
O
H
T
O
Maturing Mathematician
NUMBERS to 1000 Which numbers have been labelled?
a 150
160
b 170
e f
c d 180
190 200 210
g
h
220 230 240
i 250
one hundred and sixty four a = 164 ........................................................................................... b = ........................................................................................... c = ........................................................................................... d = ........................................................................................... e = ........................................................................................... f = ........................................................................................... g = ........................................................................................... h = ........................................................................................... i = ........................................................................................... Mahobe Resources (NZ) Ltd
35
Maturing Mathematician
PARTITIONING NUMBERS Write in the missing digits.
452 348 601 794
= 4 0 0 + = + = + = +
0 + + + +
Now, write in the missing numbers.
351 = + 50 + 1 867 = + + 7 422 = 400 + + 105 = + + Finally, write the answers.
400 + 50 700 + 60 900 200 Maturing Mathematician
+ + + +
8 2 3 10
= = = = 36
Mahobe Resources (NZ) Ltd
ADDITION Arithmetic is always easier when the sum is broken into smaller bits.
26 + 18 = 20+6 + 10+8
Which is easier to calculate? or
= 30 + 14 = 44 Write in the missing numbers and find the answers.
39
+
18
30+ 9 + 10 + 8 +
47
+
25
40+
+
+
=
+
=
65
+
26
26
+
54
60+
+
+
20+
+
+
+ Mahobe Resources (NZ) Ltd
=
+ 37
= Maturing Mathematician
SUBTRACTION Arithmetic is easier when the sum is broken down into smaller bits.
73
-
7 = 66
73 - 3 - 4 70 - 4 = 66 Write in the missing numbers and find the answers.
65
-
9 =
65 - 5 60 52
=
- 8 =
52 - 2 50 Maturing Mathematician
= 44
Mahobe Resources (NZ) Ltd
Fraction Man is here to introduce...
This square is divided into 4 parts with 1 part shaded. Therefore 41 is shaded. Write the fraction that is shaded.
....................
....................
....................
....................
.................... .................... .................... Mahobe Resources (NZ) Ltd
47
Maturing Mathematician
FRACTIONS Shade the shape to show the fraction.
one half two thirds one quarter one fifth one tenth five sixths Maturing Mathematician
50
Mahobe Resources (NZ) Ltd
Colour each fraction. Compare the two rectangles and fill in the missing sign with greater than (>), less than (<) or equals (=).
2 4 ...............
1 8 ...............
1 4 ...............
3 8 ...............
3 4 ...............
1 2 ...............
4 8 ...............
1 2 ...............
2 3 ...............
1 2 ...............
3 5 ...............
3 4 ...............
Mahobe Resources (NZ) Ltd
51
Maturing Mathematician
ESTIMATING NUMBERS Write what you think the number in each of the boxes would be.
0
10
30
40 60
80
150
250
400
500
Mark on the number line below where you think the following numbers would be: 5, 12, 27, 33 and 39.
0
Maturing Mathematician
10
20
52
30
40
Mahobe Resources (NZ) Ltd
HALF WAY BETWEEN Write in the numbers that are halfway between.
1
5
3
9
10
50
30
90
100
500
300
900
4
10
1
7
40
100
10
70
400
1000 100
700
2
10
2
6
52
60
92
96
182
190
332
336
Mahobe Resources (NZ) Ltd
53
Maturing Mathematician
DIVISIONS BETWEEN Write the missing numbers on each number line.
0
100
0
30
0
80
0
20
0
60
0
70
0
100
0
90
Maturing Mathematician
54
Mahobe Resources (NZ) Ltd
MONEY EQUIVALENTS Different countries have different types of coins. Here are the most popular. Draw a line to show each equivalent value.
$1
C C
50
one
20 20 20
10
C 20 20 C 10
25
50 50 20 10 Mahobe Resources (NZ) Ltd
C C 50
5 5 5 C C 5 5 5
C C 10 10 5 55
Maturing Mathematician
ADDING MONEY 10 10 5 5 5
+
25
$1
$1
one
one
20
+
50 20
10
20 20 +
10 $1
one
one
20 Mahobe Resources (NZ) Ltd
= ................................
50
5 5 = ................................
10
$1
= ................................
+ 50
2050 57
= ................................ Maturing Mathematician
SUBTRACTING MONEY 20 10 5
-
20 = ................................ 20 25 5
10 10 10 5 5 5 5 10 10 10 $1
$1
one
one
20
- 50
50 20
= ................................
10
$1 one
one
Maturing Mathematician
20
5 5
= ................................ $1
$1
50 = ................................
50 10 - 50
20
20 10
one
50 58
20 20 10
= ................................ Mahobe Resources (NZ) Ltd
MightY Math MATURING MATHEMATICIAN for 7 - 9 year olds
Book 1: Sailing Into Mathematics Builds an awareness of numbers and number relationships. It covers methods of multiplication, number patterns, ordinals and counting up to 1000, adding and subtracting strategies, fractions and money calculations. By the end of this book children will have more confidence when manipulating larger numbers.
Book 2: Sailing On With Mathematics Introduces more number sequences, arithmetic strategies, measurement and fractions. By the end of this book children will have gained confidence with arithmetic and will recognize the value of each digit that makes up a number.
Book 3: Sailing Away With Mathematics Reinforces all the work covered in the previous two Maturing Mathematician books. There are more arithmetic strategies, more fractions and more measurement. By the end of this book children will be confident in their ability to manipulate numbers.
The MIGHTY MATH series is a structured, easy-to-follow series of fun activities designed to stimulate and challenge.
Beginner Mathematician (for 4 - 6 year olds), look for the RED books. Developing Mathematician for (5 - 7 year olds), look for the YELLOW books. Advancing Mathematician for (6 - 8 year olds), look for the BLUE books. Maturing Mathematician for (7 - 9 year olds), look for the GREEN books.
MAHOBE Give your children a powerful head start at school. Make sure any Math book that you purchase has the Mighty Math logo and is published by: Mahobe Resources (NZ) Ltd.
Are you looking to give your child a powerful head start at school?
Introduce your child to mathematics with
Mighty Maths.
This is a structured, easy-to-follow series of fun activities designed to stimulate and challenge the advancing mathematician.
This book covers: C methods of multiplication C number patterns C ordinals and counting up to 1000 C adding and subtracting strategies C fractions C money calculations By the end of this book children will have a better awareness of numbers and number relationships and more confidence when manipulating larger numbers. Choose Mighty Maths and observe a marked improvement in your child’s mathematical ability. Success and confidence in mathematics will lead to an increase in motivation and an enjoyment of learning.
Mighty Maths reinforces the mathematics that children are studying at school. Study habits begin at home, complement school work and have an enormous impact on future academic achievement.
Mighty Maths Maturing Mathematician for 7 - 9 year olds
BOOK 1
ISBN 1-877216-87-9
9 781877 216879
MAHOBE
for 7-9 year olds Maturing Mathematician BOOK 1
Sailing Into
Mathematics Kim Freeman
From the publisher - Mahobe Resources (NZ) Ltd We hope you enjoy these sample pages from the Mighty Math series. The actual eBook is 64 pages and can be purchased from our website www.mahobe.co.nz, from many other ebook websites or other book websites. It provides a structured, easy-to-follow series of fun activities to stimulate and challenge the maturing mathematician. The full book contains pages on methods of multiplication, number patterns, ordinals and counting up to 1000, adding and subtracting strategies, fractions and money calculations. Go hard, play fair and enjoy your mathematics!
Mighty Math, Maturing Mathematician Book 1, Sailing Into Mathematics Author, Kim Freeman eBook Version First Published in 2007 by: Mahobe Resources (NZ) Ltd P.O. Box 109-760 Newmarket, Auckland 1149 New Zealand. Www.mahobe.co.nz © Mahobe Resources (NZ) Ltd. ISBN10: 1877216879 ISBN13: 9781877216879
MAHOBE
MightY Math
for 7-9 year olds Maturing Mathematician BOOK 1
Sailing Into
Mathematics Kim Freeman
Mighty Math, Maturing Mathematician Book 1, Sailing Into Mathematics Author, Kim Freeman eBook Version First Published in 2007 by: Mahobe Resources (NZ) Ltd P.O. Box 109-760 Newmarket, Auckland 1149 New Zealand. www.mahobe.com © Mahobe Resources (NZ) Ltd. ISBN10: 1877216879 ISBN13: 9781877216879
2
What is found in this book? In this book you look at: Methods of Multiplication, Addition and Subtraction.
5H 4 = 20 30 20
half of 4 = 2 add the zero
39
+
10
2 H 3 = 6 50
18
8 H 7 = 56
30+ 9 + 10 + 8 40 + 17
40
= 57 Money
Fractions
20
50
20 10
10 = $1 one
Maturing Mathematician
4
10 Mahobe Resources (NZ) Ltd
SUDOKU The challenge of Sudoko is to fill the grid with numbers. The big grid has the dimensions 9 x 9. This is separated into 9 smaller boards of 3 x 3. Here are the rules: 1. You can only use the numbers 1 to 9. 2. Within each 3 x 3 grid you must place ALL the numbers from 1 - 9. 3. You cannot use the same number twice in any row or column. This means ALL the numbers from 1 - 9 must appear on each row and each column. Now complete the Sudoku challenge.
1 5 4 7 8 3 6 3 2 5 9 6 6 4 5 8 2 1 7 Mahobe MaturingResources Mathematician (NZ) Ltd
6 1 9 8 7 8 6 4 1 9 5 2 9 7 1 4 2 3 6
8 2 9 5 3 4 7 5 2 7 3 6 4 1 2 3 7 6 5 4 Mahobe Maturing Resources Mathematician (NZ) Ltd
LEARNING THE 4s To multiply by 4 : Add the number 4 times. or Double the number, then double again.
4H 12 12 doubled is 24 24 doubled is 48 ˆ 4H 12 = 48
22 = ........................ 4H 3 = ........................ 4H
25 = ........................ 4H 7 = ........................ 4H
32 = ........................ 4H 9 = ........................ 4H
34 = ........................ 4H 13 = ........................ 4H
47 = ........................ 4H 15 = ........................ 4H
55 = ........................ 4H 18 = ........................ 4H Mahobe Resources (NZ) Ltd
9
Maturing Mathematician
LEARNING THE 5s 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 To multiply by 5: 1.
If the number is even, take half the number and put a zero after it.
5H 4 = 20 5H 16 = 80 half of 16 = 8 add the zero
half of 4 = 2 add the zero
2.
If the number is odd, subtract 1 from the number, halve it Then put a five after it.
5H 7 = 35 5H 13 = 65 7 - 1 = 6 half of 6 = 3
Maturing Mathematician
13 - 1 = 12 half of 12 = 6 add the 5
add the 5
10
Mahobe Resources (NZ) Ltd
Even Numbers
Odd Numbers
5H 6 = ........................ 5H 9 = ........................
5H 8 = ........................ 5H 11 = ........................
5H 14 = ........................ 5H 15 = ........................
5H 18 = ........................ 5H 17 = ........................
5H 20 = ........................ 5H 19 = ........................
5H 22 = ........................ 5H 21 = ........................
5H 26 = ........................ 5H 23 = ........................
5H 28 = ........................ 5H 25 = ........................
5H 30 = ........................ 5H 31 = ........................ Mahobe Resources (NZ) Ltd
11
Maturing Mathematician
FINGER MULTIPLICATION
We all carry a calculator around with us that is simple to use and easy to learn. We can all use our fingers to learn the multiplication tables for the hardest number combinations - 6, 7, 8, 9, and 10. Step ONE: Remember these finger values.
6
7
8
9
10
Step TWO: Now try multiplying 8 H 7=
8 H 7 Step THREE: Count the extended fingers - these are 10s
20 30
40 50
10 Mahobe Resources (NZ) Ltd
13
Maturing Mathematician
Step FOUR: Multiply the folded fingers.
2 H 3 = 6
Step FIVE: Finally, add the two numbers together.
50 + 6 = 56
8 H 7 = 56
You have now found the answer.
7
H 9 40 20 30 50 60 10 3H 1=3 7
Maturing Mathematician
14
H 9 = 63 Mahobe Resources (NZ) Ltd
Use your finger calculator to multiply the following.
7H 7 = ...............
6H 8 = ...............
9H 9 = ...............
8H 7 = ...............
6H 10 = ............... Mahobe Resources (NZ) Ltd
15
Maturing Mathematician
Use your finger calculator to multiply the following.
7H 8 = ............... 7H 10 = ...............
9H 8 = ............... 9H 6 = ...............
8H 8 = ............... 8H 6 = ...............
9H 7 = ............... 6H 9 = ...............
9H 10 = ............... 6H 6 = ...............
7H 9 = ............... 8H 10 = ...............
6H 7 = ............... 8H 9 = ...............
7H 6 = ............... 9H 9 = ............... Maturing Mathematician
16
Mahobe Resources (NZ) Ltd
MORE MULTIPLICATION Multiplication by 9: Method 1 This method is called fingers multiplication by 9. The previous finger multiplication works for combinations of 6, 7, 8, 9 and 10. This method only works for the 9 times tables. Step ONE: Put your two hands on the table in front of you. Your fingers can each represent the numbers 1 to 10.
1
2
789
34 5 6
10
Step TWO: Try multiplying 9 H 3. Curl under the finger representing 3.
1
4 56
1 2 2 3
7
Step THREE: The first digit in the answer is the number of fingers before the curled under finger. The second digit in the answer is the number of fingers after the curled under finger.
9 H 3 = 27 Mahobe Resources (NZ) Ltd
17
Maturing Mathematician
Fingers Multiplication by 9 Use the fingers method to calculate these 9 x multiplications.
9H 3=...............
9H 8=...............
9H 5=...............
9H 7=...............
9H 2=............... 9H 9=...............
9H 10=............... 9H 6=............... Maturing Mathematician
18
Mahobe Resources (NZ) Ltd
Multiplication by 9: Method 2 This is called the one less = nine method. Step ONE: Subtract 1 from the number you are multiplying 9 by. This is the first digit. Step TWO: The two digits that make up the answer add to give 9. Calculate the second digit.
9 H 4 = 36 4-1=3
3+6=9
Remember that these methods only work up until 9x10. Find a calculator and write out the 9 times table up to 30. Can you see a pattern emerging?
9H 3=............... 9H 7=...............
9H 8=............... 9H 2=...............
9H 5=............... 9H 9=...............
9H 10=............... 9H 6=............... Mahobe Resources (NZ) Ltd
19
Maturing Mathematician
NUMBER RELATIONSHIPS Complete the tables.
-2
31 41 51 61
28
-5
+2
56
9
15
22 32 42 52
-7
82
+5
+7
15 25 35 45
37 44
Put the circled numbers above in order - smallest to biggest ................................................................................... Complete these additions
50 + 43
37 + 52
+
+ 56
Mahobe Resources (NZ) Ltd
50
26
21
+
77
45 86
Maturing Mathematician
ARITHMETIC Use the diagrams to complete the sums.
16 + .......... = ............... 21 - .......... = 16 17 + .......... = ............... 25 - .......... = 17
......... + 5 = ............... .......... - .......... = 41 ......... + 16 = ............... .......... - .......... = ............... Maturing Mathematician
22
Mahobe Resources (NZ) Ltd
15 + .......... = ............... 27 - .......... = ...............
......... + 8 = ............... .......... - .......... = 24
1.
1.
5, 10, 15, ....., 25
1.
100 - 78
3.
8, 6, 4, ....., 0
2.
100 - 4
4.
1, 2, 4, 8, ....., 32
4.
100 - 90
5.
10, 20, 30, .....
5.
100 - 58
6.
3, 6, 9, ....., 15
7.
100 - 91
Mahobe Resources (NZ) Ltd
23
2.
3.
4.
5.
6.
7.
Maturing Mathematician
= 50
+
+
= ...............
= 30 = 20
+
-
= ...............
-
+
= ...............
Circle 2 numbers that add up to 20
19 15 4 18 11 3 5
4 17 1 6 3 10
3 6 9 12 14 15
Circle 3 numbers that add up to 50
20 18 11 25 32 45 5 If and
9 22 2 15 12 13 20 5 32 44 11 2 8 10
+ = 50 + + = 36
Mahobe Resources (NZ) Ltd
then
25
+
= .......... Maturing Mathematician
NUMBERS to 1000 The blocks shown are arranged in 3 different ways - in single units, in groups of ten and groups of one hundred.
1 group of 100 units (hundreds) 2 groups of 10 units (tens) 6 single units (ones)
1 2 6 One hundred and twenty six
2 0 4 4 single units
2 group of 100 units
zero groups of 10 units
Two hundred and four Maturing Mathematician
26
Mahobe Resources (NZ) Ltd
Write down the number that each picture represents.
.....................
.....................
.....................
.....................
..................... .....................
.....................
..................... Mahobe Resources (NZ) Ltd
27
Maturing Mathematician
PLACE VALUE Write the number of objects in each place-value table.
Mahobe Resources (NZ) Ltd
29
H
T
U
H
T
U
H
T
U
H
T
U
Maturing Mathematician
PLACE VALUE Write the correct number.
10 100
10 10
135
100 100 10 100 10
1
1 1 1 1
1 1 1 1
1 1 1 1
.......................................................
100 10 10 100 100 10 10 100 100 10 10 1 1
100 10 10 10 10 100 10 10 10 10 10
.......................................................
.......................................................
100 11 11 100 100
100 100 10 10 1 1 1 1 1 100 100 10 1 1 1 1
.......................................................
.......................................................
100 100 100 100
100 100 100 100 10 10 100 100 10 10 1 1 1 1 100 100 10 10 1 1
100 100
....................................................... Maturing Mathematician
10 10 1 1 10 1 10
....................................................... 30
Mahobe Resources (NZ) Ltd
PLACE VALUE Write the number and the number word.
H
T
O
H
T
O
342 three hundred and forty two
H
T
H
Mahobe Resources (NZ) Ltd
T
O
O
31
H
T
O
H
T
O
Maturing Mathematician
NUMBERS to 1000 Which numbers have been labelled?
a 150
160
b 170
e f
c d 180
190 200 210
g
h
220 230 240
i 250
one hundred and sixty four a = 164 ........................................................................................... b = ........................................................................................... c = ........................................................................................... d = ........................................................................................... e = ........................................................................................... f = ........................................................................................... g = ........................................................................................... h = ........................................................................................... i = ........................................................................................... Mahobe Resources (NZ) Ltd
35
Maturing Mathematician
PARTITIONING NUMBERS Write in the missing digits.
452 348 601 794
= 4 0 0 + = + = + = +
0 + + + +
Now, write in the missing numbers.
351 = + 50 + 1 867 = + + 7 422 = 400 + + 105 = + + Finally, write the answers.
400 + 50 700 + 60 900 200 Maturing Mathematician
+ + + +
8 2 3 10
= = = = 36
Mahobe Resources (NZ) Ltd
ADDITION Arithmetic is always easier when the sum is broken into smaller bits.
26 + 18 = 20+6 + 10+8
Which is easier to calculate? or
= 30 + 14 = 44 Write in the missing numbers and find the answers.
39
+
18
30+ 9 + 10 + 8 +
47
+
25
40+
+
+
=
+
=
65
+
26
26
+
54
60+
+
+
20+
+
+
+ Mahobe Resources (NZ) Ltd
=
+ 37
= Maturing Mathematician
SUBTRACTION Arithmetic is easier when the sum is broken down into smaller bits.
73
-
7 = 66
73 - 3 - 4 70 - 4 = 66 Write in the missing numbers and find the answers.
65
-
9 =
65 - 5 60 52
=
- 8 =
52 - 2 50 Maturing Mathematician
= 44
Mahobe Resources (NZ) Ltd
Fraction Man is here to introduce...
This square is divided into 4 parts with 1 part shaded. Therefore 41 is shaded. Write the fraction that is shaded.
....................
....................
....................
....................
.................... .................... .................... Mahobe Resources (NZ) Ltd
47
Maturing Mathematician
FRACTIONS Shade the shape to show the fraction.
one half two thirds one quarter one fifth one tenth five sixths Maturing Mathematician
50
Mahobe Resources (NZ) Ltd
Colour each fraction. Compare the two rectangles and fill in the missing sign with greater than (>), less than (<) or equals (=).
2 4 ...............
1 8 ...............
1 4 ...............
3 8 ...............
3 4 ...............
1 2 ...............
4 8 ...............
1 2 ...............
2 3 ...............
1 2 ...............
3 5 ...............
3 4 ...............
Mahobe Resources (NZ) Ltd
51
Maturing Mathematician
ESTIMATING NUMBERS Write what you think the number in each of the boxes would be.
0
10
30
40 60
80
150
250
400
500
Mark on the number line below where you think the following numbers would be: 5, 12, 27, 33 and 39.
0
Maturing Mathematician
10
20
52
30
40
Mahobe Resources (NZ) Ltd
HALF WAY BETWEEN Write in the numbers that are halfway between.
1
5
3
9
10
50
30
90
100
500
300
900
4
10
1
7
40
100
10
70
400
1000 100
700
2
10
2
6
52
60
92
96
182
190
332
336
Mahobe Resources (NZ) Ltd
53
Maturing Mathematician
DIVISIONS BETWEEN Write the missing numbers on each number line.
0
100
0
30
0
80
0
20
0
60
0
70
0
100
0
90
Maturing Mathematician
54
Mahobe Resources (NZ) Ltd
MONEY EQUIVALENTS Different countries have different types of coins. Here are the most popular. Draw a line to show each equivalent value.
$1
C C
50
one
20 20 20
10
C 20 20 C 10
25
50 50 20 10 Mahobe Resources (NZ) Ltd
C C 50
5 5 5 C C 5 5 5
C C 10 10 5 55
Maturing Mathematician
ADDING MONEY 10 10 5 5 5
+
25
$1
$1
one
one
20
+
50 20
10
20 20 +
10 $1
one
one
20 Mahobe Resources (NZ) Ltd
= ................................
50
5 5 = ................................
10
$1
= ................................
+ 50
2050 57
= ................................ Maturing Mathematician
SUBTRACTING MONEY 20 10 5
-
20 = ................................ 20 25 5
10 10 10 5 5 5 5 10 10 10 $1
$1
one
one
20
- 50
50 20
= ................................
10
$1 one
one
Maturing Mathematician
20
5 5
= ................................ $1
$1
50 = ................................
50 10 - 50
20
20 10
one
50 58
20 20 10
= ................................ Mahobe Resources (NZ) Ltd
MightY Math MATURING MATHEMATICIAN for 7 - 9 year olds
Book 1: Sailing Into Mathematics Builds an awareness of numbers and number relationships. It covers methods of multiplication, number patterns, ordinals and counting up to 1000, adding and subtracting strategies, fractions and money calculations. By the end of this book children will have more confidence when manipulating larger numbers.
Book 2: Sailing On With Mathematics Introduces more number sequences, arithmetic strategies, measurement and fractions. By the end of this book children will have gained confidence with arithmetic and will recognize the value of each digit that makes up a number.
Book 3: Sailing Away With Mathematics Reinforces all the work covered in the previous two Maturing Mathematician books. There are more arithmetic strategies, more fractions and more measurement. By the end of this book children will be confident in their ability to manipulate numbers.
The MIGHTY MATH series is a structured, easy-to-follow series of fun activities designed to stimulate and challenge.
Beginner Mathematician (for 4 - 6 year olds), look for the RED books. Developing Mathematician for (5 - 7 year olds), look for the YELLOW books. Advancing Mathematician for (6 - 8 year olds), look for the BLUE books. Maturing Mathematician for (7 - 9 year olds), look for the GREEN books.
MAHOBE Give your children a powerful head start at school. Make sure any Math book that you purchase has the Mighty Math logo and is published by: Mahobe Resources (NZ) Ltd.
Are you looking to give your child a powerful head start at school?
Introduce your child to mathematics with
Mighty Maths.
This is a structured, easy-to-follow series of fun activities designed to stimulate and challenge the advancing mathematician.
This book covers: C methods of multiplication C number patterns C ordinals and counting up to 1000 C adding and subtracting strategies C fractions C money calculations By the end of this book children will have a better awareness of numbers and number relationships and more confidence when manipulating larger numbers. Choose Mighty Maths and observe a marked improvement in your child’s mathematical ability. Success and confidence in mathematics will lead to an increase in motivation and an enjoyment of learning.
Mighty Maths reinforces the mathematics that children are studying at school. Study habits begin at home, complement school work and have an enormous impact on future academic achievement.
Mighty Maths Maturing Mathematician for 7 - 9 year olds
BOOK 1
ISBN 1-877216-87-9
9 781877 216879
MAHOBE
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