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Example or Non-Example?

Drag each card into the correct region based on whether it represents a algebraic expression or not.

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Example
Cards to Sort
x = 3
3x + 5
7 > 2x
m + n − 12
a=b2+c2
6pq
5x + 2 = 17
Area = πr2
a² − 7
4y/2
Trophy

Non-Example

Instructions

Drag each card into the correct region based on whether it represents a algebraic expression or not.

Definition: An algebraic expression is a mathematical phrase that can contain numbers, variables (like x or y), and operation symbols such as addition, subtraction, multiplication, and division.

Algebraic expressions are used to represent and solve problems in algebra by showing relationships between quantities.

Click the "Check" button once you have sorted all cards to see if your answers are correct.

Suggested

Writing Expressions

Writing Expressions

Listen to the voice saying the algebraic expression then write it in its simplest form.

The short web address is:

Transum.org/go/?Num=689

Suggested

True or False?

True or False?

Arrange the given statements in groups to show whether they are always true, sometimes true or false.

The short web address is:

Transum.org/go/?Num=246

Suggested

Indices True False

Indices True False

Arrange the given statements involving indices to show whether they are true or false.

The short web address is:

Transum.org/go/?Num=719

The idea of using examples and non-examples to help you understand something better was created by three researchers in 1969—Frayer, Frederick, and Klausmeier. They found that showing both what a word or idea is and what it is not helps people learn faster and remember longer. This method became known as the Frayer Model and is still used in schools today.

Why am I learning this?

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:

"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
Thanks"

Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

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Featured Activity

Key Stage 2 Tests

Key Stage 2 Tests

There are some wonderful questions for Year 6 pupils in the Key Stage 2 Maths Tests (SATs) which normally take place at this time each year. Here are some links to Transum activities for the main Maths attainment statements. Click the image above to begin.

Answers

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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When planning to use technology in your lesson always have a plan B!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

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Scan the QR code below to visit the online version of this activity.

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https://www.Transum.org/go/?Num=1102

Description of Levels

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Level 1 - three-figure bearings

Level 2 - triangles

Level 3 - polygons

Level 4 - algebraic expressions

Level 5 - like terms

Level 6 - prime numbers

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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For Students

Looking at examples and non-examples is a great way to help you understand maths ideas better. An example shows you what something is, and a non-example shows you what it isn't. By comparing them, you can spot the important parts that make something correct in maths. It’s like learning what makes a triangle a triangle: seeing shapes that aren’t triangles helps you understand better.

Non-examples are especially useful because they help you avoid common mistakes. If you see something that almost looks right but isn’t, you have to think carefully about why it’s wrong. That kind of thinking helps your brain understand maths more deeply and makes you a better problem-solver.

When you talk about why something is or isn’t a good example, you also practise using the right maths words. This helps you explain your ideas clearly and makes you feel more confident when solving maths problems or talking about them in class.

For Teachers

Here is a very good explanation from the wonderful My Barton:

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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