Inequalities - Level 5
Show how inequalities can be represented with number line diagrams and graphs.
This is Level 5. Match the statements with the corresponding diagrams. A solid circle indicates inclusion.
-2 ≤ x < 2
x ≥ -2
x < -2
x ≤ 2
x > -2
x < -2, x > 2
x > 2
x ≥ 2
-2 < x ≤ 2
x ≤ -2, x > 2
x ≤ -2
x < 2
Level 1 - Comparing positive integers
Level 2 - Comparing positive and negative decimal numbers
Level 3 - Comparing positive and negative fractions
Level 4 - Comparing metric measures
Level 5 - Matching statements to number line diagrams.
Level 6 - Solving linear inequalities.
Level 7 - Solving linear two part inequalities.
Level 8 - Matching statements to graphs.
Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.
More on this topic including lesson Starters, visual aids and investigations.
The following diagram represents -3 < x ≤ 4
Notice that -3 is not included but 4 is
The most important thing is to talk to your teacher if there is anything you don't understand about this topic.
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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 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:
"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."
Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:
"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."
"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."
Secondary National Strategy, Mathematics at key stage 3
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 main page links to more activities designed for students in upper Secondary/High school.
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