Starter how many squares

How Many Triangles 2? How Many Triangles 3? How Many Rectangles? Rectangles Investigation Icosahedron Mystic Rose. Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items I have chosen and recommend to get you started.

As an Amazon Associate I earn a small amount from qualifying purchases which helps pay for the upkeep of this website. There are actually 8 green ones and the total is 15 because there are 4 big green squares on the outside and 4 small green squares in the center.

Rob, Estonia Read the question again - the 4 green squares you point to are not drawn by connecting the dots and thus do not count towards the answer. Most thought it was 9. I got 9. Laura Nortman, United Statesq Please be certain that your answers are clear and correct. On Answer 11, on the issue of how many squares there are in the image.

You stated that there were only 4 green squares I am assuming those would be the four in the middle. However, those 4 squares can be combined to make one more larger square. You can then take the green rectangle on the top of of the image and combine it with the two small green squares below it, that makes another larger green square.

You can follow this same process with the bottom green rectangle and the two side green rectangles. Combine each of the green rectangles with the two adjacent small green rectangles and you will see the square. This means that there are 4 small green squares and 5 additional large green squares This of course takes critical thinking, which is something we apparently don't care to pass onto our children anymore. You should not claim to be an educational resource and provide such bad example for our youth.

THINK people. If you wanted to clarify, you could also have asked how many squares there were that did not overlap parts of other squares, but I think forcing them to stand back and look at the picture to see the larger squares is a better teaching tool John, UK This is bizarre and all the proposed solutions are wrong. The question asks for you to join 4 dots. The maximum number of squares that are possible with 4 dots is 1. If you join multiple sets of 4 dots which is not specified but what seems to be taken as the instruction for some reason, then taking the colours used lower on the page I can clearly see 9 green squares not 5.

Hendrik, Edinburgh Very good. I was able to get nine and then the additional red and blue square when I read the answer was eleven, without looking at the diagram. I don't wish to be too critical of those commenters who disagree with this total, as I am about to do the same, but it seems to me that their solutions all involve connecting more than four dots.

I can see at least an additional nine possible squares, connecting only four dots. Your solution is correct only for the squares with the dots at the corners, a condition which was not specified in the question. Further, if you take a line through any four dots in a row, you can make that a single side of a large square which extends away from the centre of the diagram.

Can you be sure you haven't missed any? Can you be sure you haven't counted any twice? Topics: Starter Puzzles Shape. How did you use this starter? Can you suggest how teachers could present or develop this resource?

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world. Click here to enter your comments. There is a printable worksheet to go with this activity. Sign in to your Transum subscription account to see the answers.

The important thing is not the answer but the method you used to arrive at the answer. Did you have a structured approach? Were you sure that you had the right answer? Can you make up a puzzle like this for others to solve? A more difficult extension challenge would be to work out how many rectangles are on a chess board. The use of a spreadsheet might be useful when working on this problem. How Many Squares 1? How Many Squares 2? How Many Triangles 1?

How Many Triangles 2? How Many Triangles 3?