World of Tan 1 - Granma T
Can you fit the tangram pieces into the outline of Granma T?
Age
7 to 11
Challenge level
Problem
Hello, I am Granma T.
I am an elderly business woman living in the Guangdong province of southern China.
My business is Removals! Naturally, I can't do this all on my own.
I have help from my two grandchildren, three workers and a personal assistant. You will meet all of these people when you join us on several adventures in the months to come.
There are seven of us, just as there are seven pieces in the ancient Chinese puzzle, shown here:
Image
Can you complete my silhouette using the seven pieces from the tangram with the interactivity below?
Can you complete the logo of my removal firm?
Extra activities:
- Can you find out Granma T's age? It is one more than a square number and it has four factors. The sum of the digits of her age is 11.
Find out more about Granma T's business in World of Tan 2 - Little Ming.
Teachers' Resources
Why do this problem?
This problem is an engaging context in which pupils can consolidate their knowledge of the properties of squares, triangles and parallelograms. By attempting this activity, children will be putting into practise their visualising skills, making guesses about where the different shapes might go before trying out their ideas. When combining the shapes to make the tangram, pupils will use their understanding of translations, reflections and rotations to decide how to transform each shape. There are also links between tangrams and fractions, and children can be encouraged to work out what fraction of the whole square is represented by each smaller shape.Possible approach
Read this story with the whole class and look at the tangram as a group. Ask pupils to suggest where a shape might go. What transformation would be needed to move the shape into that position?When pupils are solving the tangram, they would benefit from working in pairs with a tablet or a printed copy of the shapes to cut out and move around. Working together will lead to rich discussions about the possible options for where each shape can go. When the children have solved the tangram, they can have a go at the extra activities.
At the end of the lesson, bring all of the pupils together and model the solution on the whiteboard. How does each shape need to be transformed? What fraction of the whole picture is each shape?
Key questions
What could you put with this piece to make a square?Are all of the pieces different?
What's the smallest square you can make?
What has to go in that space? How do you know?