Explain the relationship between the mean and sharing equally
Lesson details
Learning outcome
I can explain the relationship between the mean and sharing equally.
Key learning points
- The mean is the size of each part when a quantity is shared equally.
- The mean value of a set of data is the total of the numbers divided by how many numbers there are.
Keywords
Mean average - The mean average is a single number expressing the typical value in a set of data. It is calculated by finding the total of the set of data and dividing by how many values there are.
Set of data - A set of data is collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.
Common misconception
Understanding that the mean average is a way of creating one value to represent a set of data. It is calculated by sharing equally but doesn't always mean that a set is being shared.
Be clear about what the mean average value represents and how it might be useful in the contexts presented.
Teacher tip
The lesson starts with data that can be added and divided mentally so that pupils can focus on what is happening to the data. Encourage them to notice and describe that the total number in the set stays the same but they are re-distributed. The mean average can be a fraction or decimal.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.5 + 3 + 5 + 7 =
Q2.Question: 8 + 8 + 6 + 2 =
Q3. = 6 + 6 + 6
Q4.24 ÷ 4 =
Q5. = 35÷ 5
Q6.36 ÷ 6 =
Assessment exit quiz
6 Questions
Q1.Look at the amount of cards. Who now has fewer cards after they have been re-shared?
Q2.Look at the table. How many cards will the children have each if they share them equally?
Lucas has started to work this out for you.
12 + 8 + 8 + 4 = 32
Q3.Laura wants to reshare the cards so that the children all have an equal amount. Calculate the equal share.
Q4.The is calculated by finding the total of the set of data and dividing by how many values there are.
Q5.Look at the table. Match the shape that represent the parts of the data.
rectangle
triangle
circle
Q6.Look at the table. What is the mean average of the spelling test scores for Pine class?
To help you plan your 6 maths lesson on: Explain the relationship between the mean and sharing equally, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 6 maths lesson on: Explain the relationship between the mean and sharing equally, 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 2 maths lessons from the Mean average unit, dive into the full primary maths curriculum, or learn more about lesson planning.