Myths about teaching can hold you back
- Year 7
Problem solving with fractions and decimals
I can use my knowledge of fractions and decimals to solve problems.
- Year 7
Problem solving with fractions and decimals
I can use my knowledge of fractions and decimals to solve problems.
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Lesson details
Key learning points
- Fractions can be used to solve problems in context.
- Converting to decimals may be useful to solve problems in context.
- It may be necessary to order a set of fractions and decimals to solve problems in context.
- Fractions and decimals can be useful in solving in many real world problems.
Keywords
Improper fraction - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Proportion - Proportion is a part to whole (sometimes part to part) comparison.
Common misconception
Assuming that there are 100 minutes in an hour and converting 3.25 hours to 3 hours 25 minutes.
Start with half an hour, pupils should be happy that half an hour is 30 mins, show it written as a decimal to highlight it's not 3.3 hours
To help you plan your year 7 maths lesson on: Problem solving with fractions and decimals, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 7 maths lesson on: Problem solving with fractions and decimals, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 3 maths lessons from the Comparing and ordering fractions and decimals (positive and negative) unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.Two fractions are if they have the same value.
Q2.Andeep writes down the number 0.99 Select all the numbers below that are greater than Andeep's number.
Q3.I am rolling a six sided dice and filling in two grids. Select the numbers that can replace $$a$$ so that the number in the first grid will be less than the number in the second grid.

Q4.I am rolling a six sided dice and filling in two grids. If $$a$$ = 5, which of the following numbers can replace $$b$$ so that the second number is less?

Q5.What fraction is halfway between $$\frac{8}{11}$$ and $$\frac{10}{11}$$?
Q6.What fraction is halfway between $$\frac{4}{7}$$ and $$1$$?
Assessment exit quiz
6 Questions
Q1. is a part to whole (sometimes part to part) comparison.
Q2.To compare $$\frac{1}{2}, \frac{2}{3}, \frac{3}{4}$$ and $$\frac{5}{6}$$ which common denominator would be the most efficient?
Q3.Izzy, Andeep, Lucas, Alex and Sam took part in a quiz. Below are the proportions for how many questions they each got right. Order them from worst to best.
Q4.Jacob buys a drink and an ice cream. He also wants to buy a cupcake. He has £5. Can he afford to buy the cupcake?

Q5.Which item is the third most expensive?
