Checking and securing understanding of forming linear equations | Maths

Starter quiz

Expand and simplify $5(x - 2) - 2(3x + 4)$

$3x - 18$

$-x - 18$ ✓

$x - 14$
Simplify the expression $\frac{x^2 - 9}{x - 3}$

$x + 3$ ✓

$x - 3$

$x^2 + 3x$
Fully factorise the expression $5x + 20$

$x + 25$

$5(x - 4)$

$5(x + 4)$ ✓
Fully factorise the expression $3x^2 - 12$

$x^2 - 4$

$3(x + 2)(x - 2)$ ✓

$3(x^2 - 4)$
Fully factorise the expression $x^2 - 9$

$x(x-3)$

$(x + 3)(x + 3)$

$(x + 3)(x - 3)$ ✓
Fully factorise the expression $2x^2 + 8x$

$2x(x + 4)$ ✓

$2(x + 4)^2$

$x(2x + 8)$

Exit quiz

A rectangle has side lengths of $3x + 5$ and $2x - 3$ . Write an expression for the perimeter of the shape.

'10x + 4' ✓
A triangle has side lengths of $x + 2$ , $2x + 3$ , and $3x + 4$ . Write an expression for the perimeter of the shape.

'6x + 9' ✓
A regular quadrilateral (square) has side length $4y - 5$ . Write an expression for the perimeter of the shape.

'16y-20' ✓
A rectangle has side lengths of $5a - 6$ and $3a + 2$ . Write an expression for the perimeter of the shape.

$16a - 8$ ✓

$16a + 8$

$8a - 4$

$8a + 4$
A regular pentagon has side length $2z + 1$ . Write an expression for the perimeter of the shape.

'10z + 5' ✓
A regular hexagon has side length $3n - 4$ . Write an expression for the perimeter of the shape.

'18n - 24' ✓

Worksheet

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Lesson Details

Key learning points

Quantities that change can be assigned a variable.
If there is a relationship between these quantities, we can write this algebraically.
With two quantities, the algebraic statement can form an equation.

Common misconception

When forming expressions brackets can be missed out or incorrectly used.

Review priority of operations. Testing algebraic manipulations with numerical values can be useful when pupils are unsure if things are equivalent. E.g. the difference between 2(x + 4) and 2x + 4 can be shown with 2(5 + 4) and 2(5) + 4

Keywords

Equation - An equation is used to show 2 expressions that are equal to each other.
Interior angle - An interior angle is an angle formed inside a polygon by two of its edges.
Vertically opposite angles - Vertically opposite angles are pairs of opposite angles formed when two lines intersect at a point. They are equal.