Myths about teaching can hold you back
- Year 10•
- Higher
- Year 10•
- Higher
Equations from complex shapes
I can form and solve equations with more complex shapes.
Lesson details
Key learning points
- Sometimes you are given a problem with insufficient information to reach a numerical value.
- Depending on the problem, it may be possible to write more than one equation.
- It is possible these equations can be combined to write a new, more succinct, equation.
Keywords
Equation - An equation is used to show two expressions that are equal to each other.
Perimeter - The perimeter is the distance around a 2D shape.
Area - The area is the size of the surface and states the number of unit squares needed to completely cover that surface.
Common misconception
Some pupils may have an equivalent algebraic expressions without noticing.
Tell pupils to always check if their expressions can be simplified or factorised before deeming themselves incorrect.
To help you plan your year 10 maths lesson on: Equations from complex shapes, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Equations from complex shapes, 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 2D and 3D shape: compound shapes unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Prior knowledge starter quiz
6 Questions
Q1.$$3n+5=2+n$$ is an example of an .
Q2.The solution to $$6(2m-7)=42$$ is $$m=$$ .
Q3.The solution to $$6y-5=2y+25$$ is $$y=$$ .
Q4.The solution to $$8x+9=28-2x$$ is $$x=$$ .
Q5.The solution to $$\frac{5t+12}{3}=9$$ is $$t=$$ .
Q6.The solution to $$6(5d+2)=3(9d-1)$$ is $$d=$$ .
Assessment exit quiz
6 Questions
Q1.Given that the perimeter of this rectangle is 76 cm, then $$x=$$ .

Q2.Which of these equations are true for this square?

Q3.The perimeter of this isosceles triangle is 53 cm. The length of the unmarked edge is cm.

Q4.Given that this is a parallelogram, complete the equation: $$5x-9=$$___________.

Q5.Given that these two shapes have equal areas, then $$x=$$ .

Q6.The area of this rectangle is 48 square centimetres. The perimeter is cm.
