# Maths Mate Term Four Sheet Eight Question #22

Predict: I predict that this problem will involve money, amounts and comparing.

Read: “Which  deal costs less per millilitre? A) 75c for 500 mL B) \$2 for 2L”

Clarify: nothing to clarify

What’s the BIG Question?: Out of the two deals, which one will end up costing less per millilitre?

Strategy: “Write an Equation” (For more strategies check out my “Mathematician’s Toolbox” page, here is the link: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly I instantly knew that if it was \$2 for 2L then it would be \$1 for 1L. To work out how much option A was I timed 75 by 2 and got 150. So it would cost \$1.50 for 1L for option A and option B was \$1 so the answer would be option B.

Summary: In the end I got the answer of option B and used my estimated strategies and my prediction was also correct.

By Gracie 🙂

# Maths Mate Term Four Sheet Seven Question #22

Predict: I predict this problem will involve problem solving, numbers and comparing skills.

Read: “Which deal costs less per litre? A) \$32 for 4L B) \$8.50 for 1L” Clarify: nothing to clarify

What’s the BIG Question?: Out of the two options, what deal on litres cost less per litre?

Strategies: “Write an Equation” and “Do I know a Similar Problem” (For more strategies, check out my “Mathematician’s Toolbox” page. Here is the link: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly, to work out how much option A would cost I divided 32 by 4, I got 8. Now knowing that option A was \$8 per litre I instantly knew it was cheaper than option B because it said that it was \$8.50 per litre.

Summary: In the end I got the answer of option A and used my estimated strategies, my prediction was also correct.

By Gracie 🙂

# Maths Mate Term Four Sheet Six Question #24

Predict: I predict this problem will involve multiplication, numbers and missing numbers.

Read: “Fill in the missing digits in the multiplication.” Clarify: nothing to clarify

What’s the BIG Question?: What digits go in the boxes that also fit into the multiplication sum?

Strategies: “Have I seen a similar problem” (For more strategies, check out my “Mathematician’s Toolbox” page, here is the link: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly I did the sum of 6 x 3 which equalled 18 so I put the 8 in the available box and carried the 1. Next I knew that I had a carried 1 and the bottom number in the answer section had to be a 3 so I put 4 in the next available box and did the sum 3 x 4 + 1 I got 13, so I then carried the 1. Finally I did the last sum of 3 x 2 + 1 and got seven so I put 7 in the last available box.

Summary: In the end I completed the multiplication sum and used my estimated strategy. My predictions were also correct!

By Gracie 🙂

# Maths Mate Term Four Sheet Five Question #24

Predict: I predict this problem will involve multiplication, numbers, prior knowledge and problem solving.

Read: “Fill in the missing digits, using the digits 1 to 9.” Clarify: nothing to clarify

What’s the BIG Question?: What digits go in the missing boxes that also fit into the sum?

Strategy: “Do I know a similar problem?” (For more strategies, check out my “Mathematician’s Toolbox” page, here is the link: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly I started with the first sum; 6 x 9 and I got 54. I then carried the 5 and put it in the available box. I then did 6 x 5 which equalled 35 so I carried the 3 and put it on top of the 1 that was already there. Finally, I did my last sum of 6 x 1 + 3 which equalled 9 so I put 9 in the last available box.

Summary: I ended up completing the sum and I used my estimated strategy and my prediction was also correct!

By Gracie:)

# Maths Mate Term Four Sheet Four Question #22

Predict: I predict this problem will involve division, numbers and my prior knowledge.

Read: “Fill in the missing number. 36 (divided by) [?] = 36”

Clarify: nothing to clarify

What’s the BIG Question?: What number goes into the missing box that fits into the sum?

Strategies: “Do I Know a Similar Problem?” and “Write an Equation” (For more strategies, check out my Mathematician’s Toolbox page: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly, I knew I had done a similar problem in last week’s maths mate so I used lots of my prior knowledge in this problem. I started with my doing my four times tables to see how many times four fits into 36, I got 9. To double check my answer I did 36 divided by 4 and I got 9, so my answer was definitely 9.

Summary: In the end I got the answer of 9; I used both my estimated strategies and my prediction was also correct!

By Gracie:)

# Maths Mate Term Four Sheet 3 Question #22

Predict: I predict this problem will include prior knowledge, multiplication and missing numbers.

Read: “Fill in the missing number.”

8 x [] = 56

Clarify: nothing to clarify

What’s the BIG Question: What number goes in the box, in the multiplication sum?

Strategies: “Work Backwards” (For more strategies, check out my “Mathematician’s Toolbox page: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly I did the sum of 56 divided by 8. My answer was 7, so I then knew that 8 x 7 equalled 56 so the missing number must of been 7.

Summary: In the end I got the answer of 7! I used my estimated strategy and my prediction was also correct.

By Gracie:)

# Maths Mate Term Four Sheet Two Question #23

Predict: I predict that this question will be about numbers and might include some trial and error.

Read: “Fill in the magic square. [Hint: Every row, column and diagonal has the sum.]”

Clarify: nothing to clarify

What’s The BIG Question?  In the magic square there are rows and columns, what numbers go in the boxes made by them?

Strategies: “Have I seen a Similar Problem?” (For More strategies, check out my Mathematician’s Toolbox page. Here is the link: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly, I knew I had seen a similar problem in last week’s maths mate so I used my prior knowledge to help me work the problem out. I added the three numbers that were all together in a diagonal first and I got 18, so I knew that every row, column and diagonal had to equal 18. I then added all the other columns, rows and diagonals together and made sure that they all equalled 18.

Summary: I found this problem quite easy because I knew what to do already and I ended up completing the magic square. My prediction and predicted strategy was also correct!

By Gracie!:)

# Maths Mate Term Four Sheet 1 Question #22

Predict: I predict this problem will be about multiplication, numbers and missing numbers (problem solving)

Read: “Fill in the missing number. 12 x [] = 36”

Clarify: nothing to clarify

What’s the BIG Question?: What is the missing number that goes in the box?

Strategies: “Make an Equation” (For more strategies, check out my “Mathematicians’ Toolbox page: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly, I wrote out the equation of 36 divided by twelve and got 3. To double check my answer I did 12 x 3 and I got 36, so my answer was 3.

Summary: In the end I got the answer of 3. I used my estimated strategy and my prediction was also correct!

By Gracie:)

# 5 Cents Frenzy – Infographs

Infographs

Q: What is an infographic?

A: A visual image of data.

As a part of our 5C frenzy work we created infographs to create interesting and colourful ways to present our data. There are many online sites the let you create these graphs we used infogr.am

Some of the problems we encountered along the way were when we put the data in it didn’t all come up so you couldn’t see all the data on the graph and the page was a bit glitchy..

What we did to over come these were put the data into smaller groups so there were less categories. We couldn’t solve the problem where the program was glitchy and some of the data didn’t come up in the graph.

What worked with our infographs was that the graphs we had were clear and made sense.

What I can improve upon is getting to know the program more and putting more pictures into my graphs.

Below are my graphs:

# Maths Reflection Term Three – Shapes

When we did shapes in term three we looked at 2D (2 Dimensional) and 3D (3 Dimensional) shapes, we looked at their properties and connections.

We learnt that if 2D shapes are going to be tessellated then they have to be all congruent (same size and shape) and when connected together there is no spaces or gaps, so a circle can’t tessellate because when connected together there are spaces and gaps.

When we learnt about the properties of 2D and 3D shapes we focused on the faces, edges and the vertices of the shape. A face is one of the sides of the shape and it is usually the base of the shape if it is 3D, the base also gives the shape its name. An edge is the sides of the faces and it connects faces together. A vertex or vertices are the points or corners of a shape where the faces meet.

We did a lot on the connections between 2D and 3D shapes; We did activities where we made 3D shapes out of 2D shapes, where we had to give the 2D Shapes more depth by adding more faces so the 3D shape had depth, width and height. The main thing I learnt from this lesson was that to make a 3D shape there has to be 2D shapes involved because a 3D shape is made up of lots of 2D shapes.

Finally, when studying shapes I learnt a lot and everything was clear and appropriate, I will definitely use all this new information in the future and find it helpful.

By Gracie:)