**toni**

## Picture Puzzler

*By toni On 16 March, 2021 · Leave a Comment*

Can you solve this 5 by 5 magic square?

Look carefully at the numbers in the 4 by 4 square.

What do you notice?

Add up the rows. Add up the columns. Add up the diagonals.

The square is magic.

Look carefully at the patterns when you find numbers adding up to 17.

[…]

## Travel to School

*By toni On 9 March, 2021 · Leave a Comment*

This activity is about journeys to school, your own journeys and journeys to school by other children. Watch this video https://www.youtube.com/watch?v=rYA8SbqRwt8

The picture shows a 5 hour journey into the mountains on a narrow path to probably the most remote school in the world in Gulu, China.

The […]

## Is a Square a Rectangle?

*By toni On 26 February, 2021 · 4 Comments*

Make a record of all the rectangles that you can find in this shape.

Which rectangles are exactly the same (congruent)?

Which rectangles are similar?

Is a Square a Rectangle – Template

Click here to download the IS A SQUARE A RECTANGLE? worksheet.

Click here to download the NOTES FOR TEACHERS.

[…]

## Intersections

*By toni On 13 February, 2021 · Leave a Comment*

(1) Plot the graphs of the straight lines y = x, y = 1.1x – 0.2

and y = 0.9x – 0.1

What do the graphs tell you about the solutions to the two pairs of simultaneous equations y = x y = 1.1x – 0.2 and y = x y = 0.9x – 0.1 […]

## Function Game

*By toni On 12 February, 2021 · Leave a Comment*

What is the rule (or function) that gives the outputs corresponding to the inputs shown in the diagram mapping 1 to 8 and 3 to 24 etc?

The Function Game is played in silence. Learners have to guess the function in the teacher’s mind. The teacher tells the learners that she wants […]

Download the pieces of the puzzle here and cut out the 16 small triangles.

Arrange the 16 pieces into a larger triangle so that the numbers on matching edges are the same, for example .

Click here to download the POWER MATCHING worksheet.

Click here for Notes for […]

## Matchless

*By toni On 10 February, 2021 · 3 Comments*

Find values of x and y for which these five expressions all have the same value.

Do you have exactly the right amount of information or more information than you need?

Click here to download the MATCHLESS worksheet.

Click here to download the AIMSSEC Teacher Notes for MATCHLESS

This problem is adapted […]

## Difference of Squares and Area

*By toni On 10 February, 2021 · Leave a Comment*

What do you see in this image?

What is the area of the bigger square edged by dotted line segments of length a?

What is left of that area if you take away a square with edges of length b?

What is the area of the rectangle formed by the yellow […]

1. What do you see in this picture?

Give a proof linked to this picture of the formula $a^2 – b^2 = (a + b)(a – b)$ .

2. What do you notice about the difference between squares of consecutive numbers?

Compare the differences between squares of numbers that differ by 1 […]

## Triangle Number Picture

*By toni On 5 February, 2021 · Leave a Comment*

Is a picture worth a thousand words (as the saying goes)?

This picture shows how you can fit 2 identical copies of a triangle together to form a rectangle.

Can you use it to find the number of dots in the fifth triangle number without counting the dots?

Can you find any […]

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