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Fractions Unit 2Problem solving and reasoning questionsYear 3Draw a symmetrical shape. Draw a line dividing it into half. Are your two halves exactly the same?Draw a shape that you can divide into quarters using two straight lines.Marie has written a family of fractions equivalent to 1/4.Which is the odd one out?2/8 4/16 1/4 3/15 5/20Use the <, > or = symbols to complete these number sentences:2/3?3/43/5?2/311/2?8/6Year 4Write four fractions equivalent to 1/3. Now write four fractions equivalent to 2/3.True or false?1/2 ≡ 100/200If a fraction is equivalent to one quarter, the denominator is four times the numerator.Any number of thirds can be written as an equivalent number of sixths.Any number of sixths can be written as an equivalent number of thirds.Write two fractions equivalent to 21/4.Fractions Unit 2Problem solving and reasoning questionsYear 3Draw a symmetrical shape. Draw a line dividing it into half. Are your two halves exactly the same?Check with a mirror that the shape has been halved symmetrically and discuss with the children how they set about the task.Draw a shape that you can divide into quarters using two straight lines. A square, circle or rectangle are the best choices. NB If a rectangle is drawn, note that the symmetrical lines are from mid-side to mid-side not corner to corner.Marie has written a family of fractions equivalent to 1/4.Which is the odd one out?2/8 4/16 1/4 3/15 5/203/15 is the odd one out – in each of the others the denominator is 4x the numerator which provides a quick check.Use the <, > or = symbols to complete these number sentences:2/3<3/43/5<2/311/2>8/6If a child has them ALL wrong it could be that they are reading the greater/lesser than symbols the wrong way around.Year 4Write four fractions equivalent to 1/3. e.g. 2/6 3/9 4/12 5/15 Now write four fractions equivalent to 2/3. e.g. 4/6 6/9 8/12 10/15 How do the fractions equivalent to 2/3 relate to 1/3 ?True or false?1/2 ≡ 100/200 True since 100 is half of 200.If a fraction is equivalent to one quarter, the denominator is four times the numerator. True, e.g. 2/8 or 3/12. Any number of thirds can be written as an equivalent number of sixths. True, e.g. 2/3 = 4/6, double the numerator.Any number of sixths can be written as an equivalent number of thirds. False, e.g. 5/6 has no equivalent in thirds as halving the numerator gives a fraction.Write two fractions equivalent to 21/4. e.g. 22/8, 23/12. Some may give the equivalent improper fraction 9/4. ................
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