Myths about teaching can hold you back
- Year 11•
- Foundation
Problem solving with linear inequalities
I can use my knowledge of inequalities to solve problems.
- Year 11•
- Foundation
Problem solving with linear inequalities
I can use my knowledge of inequalities to solve problems.
Lesson details
Key learning points
- When handling a project, there are often constraints
- Constraints exist for a variety of reasons, such as cost or supply limitations
- Finding a set of possible solutions allows you to work within the constraints
Keywords
Inequality - An inequality is used to show that one expression may not be equal to another.
Common misconception
We are only interested in points that are in the region satisfied by all inequalities.
With practical contexts, such as project management, it is useful to know when one constraint is not being met as it can suggest where additional resources (if available) should be allocated.
To help you plan your year 11 maths lesson on: Problem solving with linear inequalities, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Problem solving with linear inequalities, 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 4 maths lessons from the Inequalities unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.$$15x+25y=1500$$ is an equation whereas $$15x+25y<1500$$ is an .
Q2.Which of these is the point of intersection of these two linear equations?
Q3.For the equation $$c=10+6m$$ what is the value of $$c$$ when $$m=9$$? $$c=$$ .
Q4.Solve $$5x<x+28$$.
Q5.Which of these values satisfy this inequality? $${3x+6y}\le{450}$$
Q6.A taxi firm charge a fixed rate of $$£4$$ per journey plus $$£1.50$$ per mile travelled. The cost of your journey cannot exceed $$£16$$. Which inequality models this scenario?
Assessment exit quiz
6 Questions
Q1.The graph shows the charges of three taxi firms. The coordinate pair $$(3,9)$$ is the point of __________ of the graphs of taxi firms 'a' and 'b'.
Q2.In what region does taxi firm 'a' charge less than taxi firm 'b'?
Q3.In what region does taxi firm 'c' charge less than taxi firm 'a'?
Q4.These inequalities model a company's packaging and production constraints. Which of these points satisfies the production constraint but not the packaging constraint?
Q5.These inequalities model a company's packaging and production constraints. Which of these points satisfy both the production and the packaging constraints?
Q6.These inequalities model a company's packaging and production constraints. Which coordinate pair is the point where both production and packaging are optimised?