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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. |
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.
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. |
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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! 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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Go MathsLearning 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 MapAre 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. | |||||
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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
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.
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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