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Multiplication to 8 x 8 |
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CONTENTS |
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| Multiplication up to 8 |
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Workout |
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34 slides |
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| Multiplication |
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Library |
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12 questions |
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Once you have registered, you can work through the slides one by one.
The workout comprises a series of sides that guide you systematically through the topic concept by concept, skill by skill. The slides may be used with or without the support of a tutor. The methodology is based on problem-solving that advances in logical succession by concept and difficulty. The student is presented with a problem or series of questions, and the next slide presents the fully-worked solution. To use the material you must sign-in or create an account.
blacksacademy.net comprises a complete course in mathematics with resources that are comprehensive.
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SAMPLE FROM THE WORKOUT |
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SLIDE 1 - TASK 1 |
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SLIDE 2 - SOLUTION |
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SAMPLE FROM THE LIBRARY |
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QUESTION [difficulty 0.2] |
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SOLUTION |
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DEPENDENCIES |
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CONCEPTS |
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LEV. |
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Multiplication table
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318.1 |
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Multiplication wheel
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318.3 |
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6 times table
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318.5 |
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8 times table
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318.9 |
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7 times table
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319.3 |
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Random problems in multiplication to 8 x 8
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319.9 |
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Division symbol as x/y
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320.3 |
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Multifactor operations including division
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320.3 |
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Iteration of the number 4 with operations
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320.5 |
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WORD PROBLEM. Sums. Practical calculations.
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320.7 |
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Calculations with money. Bills. Whole numbers.
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320.9 |
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Finding the odd man out
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321.3 |
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RAW CONTENT OF THE WORKOUT |
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| To make use of this chapter, please first register. Then you can work through the slides one by one. |
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| What is provided here is the raw text of the workout. Most of the information is contained in the image files, which are not included with this text. The text may appear deceptively short. (The content overall of blacksacademy.net is vast.) Any in-line questions appear as a question mark [?]. This text is provided only as an indication of the overall quantity of material contained in the chapter. To use the material you must sign-in or create an account. |
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SLIDE 1
Complete the following sequence up to .
You are going up 9 at a time.
SLIDE 2
SLIDE 3
Count up and down in nines. Go up to 108 and go back down again.
Use the preceding slide if you need to see the numbers.
SLIDE 4
Complete the following
(a) (e)
(b) (f)
(c) (g)
(d) (h)
SLIDE 5
Complete the following
(a) (e)
(b) (f)
(c) (g)
(d) (h)
SLIDE 6
? In the above sequence, when adding by 9 each time, the last digit goes down by one each time.
Explain why this happens.
? What happens to the first digit in the sequence. Why?
? The digit sum of a number is found by adding all the digits in that number. For example the digit sum of 45 is .
What is the digit sum of each of the numbers in the sequence up to 90?
SLIDE 7
? Each time you are adding 10, which does not change the last digit, and then subtracting 1. .
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The fist digit just goes up by 1 at a time. Explanation: the first digit is the 10s in the number, and you are adding 10 each time.
SLIDE 7
What is the remainder when the following numbers are divided by 9?
(a) 35 (f) 49
(b) 45 (g) 67
(c) 64 (h) 92
(d) 21 (i) 114
(e) 70 (j) 180
SLIDE 8
(a) (f)
(b) (g)
(c) (h)
(d) (i)
(e) (j)
SLIDE 9
Find every combination of two numbers that add up to 9.
SLIDE 10
Pairs of numbers summing to 9.
SLIDE 11
Continue the sequences
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SLIDE 12
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SLIDE 13
Continue the sequences
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SLIDE 14
Continue the sequences
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SLIDE 15
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SLIDE 16
Work out the following
(a) (b)
(c) (d)
(e) (f)
SLIDE 17
(a)
(b)
(c)
(d)
(e)
(f)
SLIDE 18
Find the missing number in each of the following.
(a)
(b)
(c)
(d)
(e)
(f)
SLIDE 19
Find the missing number in each of the following.
(a)
(b)
(c)
(d)
(e)
(f)
SLIDE 20
Complete the following sequence up to .
You are going up 1 at a time.
SLIDE 21
SLIDE 22
Count up and down in elevens. Go up to 132 and go back down again.
Use the preceding slide if you need to see the numbers.
SLIDE 23
A child once wrote
What is wrong with what the child wrote?
Why do you think the child made that mistake?
SLIDE 24
It is 121 and not 120.
The child may have made this mistake in this way.
SLIDE 25
Continue the sequences
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SLIDE 26
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SLIDE 27
Work out the following
(a) (b)
(c) (d)
(e) (f)
SLIDE 28
(a)
(b)
(c)
(d)
Answer: 23
(e)
(f)
SLIDE 29
? How can I make the number 121 using the number 11?
? How can I make the number 36 using the digits 3 and 11?
? How can I make the number 45 using the digits 4 and 11?
SLIDE 30
? . Multiply 11 and 11.
? . Multiply 3 by 11 and then add 3.
? .
Multiply 4 and 11 to get 44. Divide 4 by 4 to get 1. Add 44 to 1.
SLIDE 31
Complete the following sequence.
SLIDE 32
SLIDE 33
Count up and down in twelves. Go up to 144 and go back down again.
Use the preceding slide if you need to see the numbers.
SLIDE 34
How many times does 12 go into the following numbers?
(a) 108 (f) 72
(b) 60 (g) 132
(c) 84 (h) 120
(d) 144 (i) 96
(e) 48 (j) 288
SLIDE 35
(a) (f)
(b) (g)
(c) (h)
(d) (i)
(e) (j)
SLIDE 36
What is the remainder when the following numbers are divided by 12?
(a) 63 (f) 98
(b) 47 (g) 49
(c) 88 (h) 147
(d) 109 (i) 169
(e) 135 (j) 288
SLIDE 37
(a) (f)
(b) (g)
(c) (h)
(d) (i)
(e) (j)
SLIDE 38
Find every combination of two numbers that add up to 12.
SLIDE 39
SLIDE 40
Continue the sequences
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SLIDE 41
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SLIDE 42
? How can I make the number 120 using 3, 7 and 12?
? How can I make the number 16 using 3, 4 and 12?
? How can I make the number 5 using 3, 4, 12 and 9?
SLIDE 43
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SLIDE 44
Work out the following
(a) (b)
(c) (d)
(e) (f)
SLIDE 45
(a)
(b)
(c)
(d)
Answer 35
(e)
(f)
SLIDE 46
In this table all columns and rows add to 144.
Fill in the missing entries.
36 60
48
12
SLIDE 47
36 48 60
24 48 72
84 48 12
SLIDE 48
Divide these numbers by 12
SLIDE 49
SLIDE 50
What is the rule for each of these sequences?
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SLIDE 51
What is the rule for each of these sequences?
? Add 8
? Add 7
? Subtract 12
? Add 9
? Subtract 8
? Add 6 and multiply each second number by
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