Expanding Single Brackets
The below QuickQuestion Interface © generates random questions on expanding single brackets and simplifying the resulting expressions if necessary.
Choose which type of brackets you would like to practice, or choose random for a mixture of the different difficulties.
Decide if you only want a single bracket to expand, or two brackets with the resulting expression needing to be simplified.
Finally, choose if you want to include negatives in your brackets.
When typing answers, the order is important. Pairs of letters should be entered in the order they appear (outside bracket first). When simplifying, again, the final answer needs to be in the correct order as given in the question.
For example, 3a(2a+4b)+2a(2a+5) = 10a^2+12ab+10a.
There is a 10QQI version of this activity which generates 10 random questions at a time.
Choose which type of brackets you would like to practice, or choose random for a mixture of the different difficulties.
Decide if you only want a single bracket to expand, or two brackets with the resulting expression needing to be simplified.
Finally, choose if you want to include negatives in your brackets.
When typing answers, the order is important. Pairs of letters should be entered in the order they appear (outside bracket first). When simplifying, again, the final answer needs to be in the correct order as given in the question.
For example, 3a(2a+4b)+2a(2a+5) = 10a^2+12ab+10a.
There is a 10QQI version of this activity which generates 10 random questions at a time.
Ideas for Teachers
The QQI activities are a great way to get all students working. Put random questions on the board, and then get students to answer them on miniwhiteboards. Once all students have answered, and held up their solutions (with working), reveal the answer to see if they were right. Discuss any misconceptions from the working they have shown, or if they have all got it correct, move on to another question (changing the options to make if more difficult if necessary).
The QQI activities are a great way to get all students working. Put random questions on the board, and then get students to answer them on miniwhiteboards. Once all students have answered, and held up their solutions (with working), reveal the answer to see if they were right. Discuss any misconceptions from the working they have shown, or if they have all got it correct, move on to another question (changing the options to make if more difficult if necessary).
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