Roman, Rae and Trig enter Dr S. Cape’s escape room laboratory. There, they solve a number of clues involving graduated cylinders and a periodic table that both require simplifying fractions.
More resources for Autumn Block 3 Step 1.
Discussion points for teachers
1. Match the fraction on the chalkboard to the simplified fractions of liquid in the cylinders.
Discuss finding the lowest common factors and a suitable method to simplify.
2. What could this fraction have been simplified from? List three possibilities.
Discuss the parameters that have been set and a method using equivalent fractions. This question is open-ended for the children to explore.
Various answers, for example:
3. “I can simplify silicon from 22⁄75 to 2⁄3 if I divide 22 by 11 and 75 by 25.” Is he correct? Prove it.
Discuss the potential mistakes that might be made when simplifying.
Trig is incorrect. To simplify you need to divide both the numerator and denominator by the same number. There is no lowest common factor so 22⁄75 can not be simplified.
4. Find and simplify the other fractions that are not in their simplest form. Can you reorganise these letters to work out the codeword?
Discuss a method for discounting some of the fractions, such as those that use prime numbers.
5. Which fraction could have been simplified from 96⁄200 ?
Discuss using times tables and multiples to compare denominators.
National Curriculum Objectives
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