Myths about teaching can hold you back
- Year 10•
- Foundation
Problem solving with rounding, estimation and bounds
I can use my knowledge of rounding, estimation and bounds to solve problems.
- Year 10•
- Foundation
Problem solving with rounding, estimation and bounds
I can use my knowledge of rounding, estimation and bounds to solve problems.
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Lesson details
Key learning points
- Rounding and estimation are practical maths skills.
- They can be used to quickly estimate the cost of a project.
- Sometimes you will need to apply common sense to rounding in context.
Keywords
Upper bound - The upper bound for a rounded number is the smallest value that would round up to the next rounded value.
Lower bound - The lower bound for a rounded number is the smallest value that the number could have taken prior to being rounded.
Error interval - An error interval for a number x shows the range of possible values of x. It is written as an inequality a ≤ x < b
Common misconception
For example if a measurement of 12 cm has been given to the nearest centimetre assuming the upper bound is 12.4 cm.
Emphasise the infinite nature of a measurement.
To help you plan your year 10 maths lesson on: Problem solving with rounding, estimation and bounds, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Problem solving with rounding, estimation and bounds, 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.
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Explore more key stage 4 maths lessons from the Rounding, estimation and bounds unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.An interval for a number x shows the range of possible values of x.
Q2.Considering the maximum number of boxes to safely fit onto a lorry. Which of the following should be used? (Where $$l$$ represents the capacity of the lorry and $$b$$ represents the mass of a box?
Q3.A sack contains 50 kg of rice correct to the nearest kg. What are the lower and upper boundaries of the rice?
Q4.A sack contains 50 kg of rice correct to the nearest kg. This is put into smaller bags containing 1 kg correct to 0.01 kg. What are the lower and upper boundaries of the bags?
Q5.A sack contains 50 kg of rice correct to the nearest kg. This is put into smaller bags containing 1 kg correct to 0.01 kg. Which calculation is correct to find the minimum number of bags produced?
Q6.A sack contains 50 kg of rice correct to the nearest kilogram. This is put into smaller bags containing 1 kg correct to 0.01 kg. What is the minimum number of bags produced?
Assessment exit quiz
6 Questions
Q1.A quick estimate for a calculation is obtained from using values, often rounded to 1 significant figure.
Q2.Match each to the appropriate measure.
Height of a house -
metres
Mass of an dog -
kilograms
Time taken to eat your tea -
minutes
Distance from London to Dover -
kilometres
Area of a rugby pitch -
$$m^2$$
Volume of a fish tank -
$$cm^3$$