Mathsmate~ Term 4, sheet 6

Problem 24: Fill in the missing digots in the multiplication.

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Predict: I think that I will have to use multiplication in this problem.

Clarify: I have no words, sentences or phrases to clarify.

Find the big question: what are the missing digits?

Solve: first I worked out what 6×3 is. The answer is 18, So I write an eight and carry the one. Now I have to work out what 3x? is, remembering that I have an extra one to add on, and it must equal something with a three in the ones column.

I already know that 3×4=12, and if I add a one, it would be 13! Perfect! So I write down a 4 in between the 2 and 6. Then I carry the one from the thirteen.

Now all I have to do is work out what 2×3 is, and I already know that is 6, plus the 1=7.

THE ANSWER IS:

 

image

Summary: The mathematicians toolbox strategy I used in this sum was use my prior knowledge.

Maths Mate~ Term 4, Sheet 5.

problem 22: which deal costs less per gram?

A) $5 for 500 g

B) $3 for 250 g.

predict: I predict that I will have to use multiplication in this sum.

clarify: I have no words, sentences or phrases to clarify.

find the big question: which costs less?

solve: this problem is fairly simple to solve.

first of all, I know that if you double 250 it equals 500.

but if you double $3  it doesn’t equal $5, it equals $6.

so, I’m thinking that A is the better deal, but to double check-

$5 for $500 g means $10 per 100 g.

but if it was $10 per grab for B, there would have to be 300 g, which is more that 250.

THE ANSWER IS A).

summary: the mathematicians toolbox strategy I used in this sum was use my prior knowledge.

maths mate: term 4, sheet 4.

problem 22:  fill in the missing number. 36 / ? = 4.

predict: I predict that I will need to use multiplication in this sum.

clarfiy: I have no words, sentences or phrases to clarify.

find the big questions: what is the missing number?

solve:

FIRST WAY- the main step in this sum is to go through your 4 times tables.

4,8,12,16,20,24,28,32,26.

then I count how many fours it took in 36: 9.

SECOND WAY- the simplest way, but if you are not confident with your 4 times tables you will need to do the first way aswell.

what is 36/4?:9.

THE ANSWER IS 6.

summary: the mathematicians tool box strategy I used in this sum wa use my prior knowledge.

Maths Mate: term 4, week 3.

problem 24: a bookshop sold 200 books over the Internet in it’s first year of business. since then sales have doubled every year. what was the bookshops profit in the sixth year given the yearly profit formula below?

yearly profit= books sold x $2 – $1000

predict: I predict that I will have to use multiplication in the sum.

clarify: I have no words, sentences, or phrases to clarify.

find the big question: what was the profit?

solve:

first it said that the sales have doubled every year, and it has been running for 6 years. so, to make sure I did it correctly I went down in a list.

1- 200

2- 400

3- 800

4-1600

5-3200

6-6400.

next we times it by $2. which is: $12,800

now we have to take away $1000, which is $11,800!

the answer is $11,800

summary: the mathematicians toolbox strategy are used in this sum was break the problem into manageable parts.

Maths Mate: term 4, sheet 2.

problem 22: fill in the missing number.

__÷5 = 9?

predict: I predict I will need to use multiplication in his sum.

clarify: there are no words, sentences or phrases that I need to clarify.

find the big question: what is the missing number?

solve:

this problem was very simple to do.

first I worked out what 9×5 was, and that was 45!

to double check, 45÷5=9!

the answer is 45.

summary: in this problem the mathematicians toolbox strategy I used was use my prior knowledge.

Maths Mate: Term 4, Sheet 1.

Problem 23: Fill in the magic square. (Hint: every row, column and diagonal has the same sum.)

4    
  6  
  1 8

 

Predict: I predict I will have to use addition in this problem.

Clarify: I have no words, sentences or phrases that I need to clarify.

Find the big question: What are the missing numbers?

Solve: First, I need to work out what 4+6+8 equals. It equals: 18.

So, now I need to make every row, column and diagonal equal 18.

First I will start with 6 and 1. That equals 7, so I need 11 more to get to 18.  So I write in 11 above 6.

So now I have 11 next to the four, and added together that equals 15, and I need 3 more to get to 18. So I write 3 next to 11.

Now I’ve got another row with 2 numbers. 3 and 8. That equals 11, and I need 7 more to get to 18.

Now I have a 6 and a 7, and that equals 13, and I need 5 more to get to 18.

Finally, I have a 4 and a 5 which equals 9, and there needs to be another  9 to get to 18.

4 11 3
5 6 7
9 1 8

 

Summarize: the mathematicians toolbox strategy I used in this sum was break the problem into manageable parts.

 

Mathsmate: Term 3, Sheet 7.

Problem 23: I think of a number, multiply it by 3 and divide it by 2.  If the result was 18, what was the original number?

Predict: I predict I will have to use multiplication in this problem.

Clarify: I have no words, sentences or phrases to clarify.

Find the big question: what was the original number?

Solve:

  1. this sum is a little bit different than others I’ve done.
  2. first, I started with trying 18 / 2 x 3,thinking that definitely wouldn’t work.
  3. But then, I checked it and the answer was 24. But 24 x 3 /2 isn’t 18. It’s 36!
  4. So I tried 18 / 3 x 2.
  5. That was 12.
  6. So I double checked it; 12 x 3 / 2 and it was 18!

the answer is 12.

summary: the mathematicians toolbox strategy I used in this sum was use my prior knowledge.

Maths Mate: Term 3, Sheet 4

Problem 22: The sum of four consecutive numbers is 94. What are the four numbers?

Predict: I predict that I will need to use division and addition in this problem.

Clarify: I have no words, sentences or phrases to clarify.

Find the big question:  What are the four numbers?

Solve:

  1. At first I was very confused about how to solve this problem, but I worked out that I was over thinking it.
  2. First I divided 94 by 4 which equals 23.5
  3. That means that 23.5 is the middle number in the sum, because of the .5.
  4. So at first I didn’t realize that 23.5 had to be the  middle number so I did 21+22+23+24, but that made 90.
  5. So that means the 23 has to go in the middle, so I chose 22+23+24+25=94!

The answer is 22,23,24 and 25.

Summary: The mathematicians toolbox strategy I used in this sum was work backwards.

Maths Mate: Term 3, Sheet 3

Problem 22: The sum of three consecutive whole numbers is 96. What are the three numbers?

Predict: I predict I will need to do addition and division in this sum.

Clarify: I have no words, sentences or phrases to clarify.

Find the Big Question: What are the three numbers?

Solve:

1.First I knew that 3,3 and 3 added up to 9.

3

3

3

2.  Then I knew that 1,2 and 3 add up to 6.

31

32

33.

3. Then I double checked to see if it was right. Yes!

The answer is 31, 32 and 33.

Summary: The mathematicians toolbox strategy I used in this sum was use your prior knowledge.

Mathsmate: Term 3, Sheet 2

Problem 22: Carl looked at the page numbers on the open book in front of him. The left and right page numbers added to 333. What were the page numbers?

Predict: I predict I will need to use division and addition in this problem.

Clarify:  I have no words, sentences or phrases to clarify.

Find the big question: What are the page numbers?

Solve:

  1. I need to start by splitting 333 in half, because they need to be consecutive. Picture a book, the page numbers are consecutive,, aren’t they?
  2. It is 166.5 but I will round that up to 167.
  3. 167+168=335.
  4. So I will round down to 166.
  5. 166+167=333!

Summary:

The mathematicians toolbox strategy I used in this problem was break it into manageable parts.