Howcast - A trapezoid is a four-sided figure with one pair of parallel sides. Because a trapezoid can be dissected into a rectangle and two identical triangles, find it’s area is easy.

Pupil outcome: I can use my knowledge of shape properties to sketch and identify shapes. Key learning points: - Regular shapes have all sides the same length and all angles equal size. - Knowledge of properties of shapes helps to sketch...

Pupil outcome: I can explain how any parallelogram can be decomposed and the parts rearranged to form a rectangular parallelogram. Key learning points: - The area of a parallelogram is equal to the area of the rectangle created by...

Pupil outcome: I can draw and complete simple shapes by plotting positions on the full coordinate grid. Key learning points: - The horizontal distance or coordinate is given first when describing positions on a coordinate grid. - If the...

Pupil outcome: I can draw shapes with given properties on a range of geometric grids. Key learning points: - If you know the properties of a shape you can use a ruler and a range of grids to create it. - Lines are perpendicular when they...

Pupil outcome: I can draw polygons specified by coordinates in the first quadrant. Key learning points: - The first digit in the coordinate gives the horizontal distance from the origin along the x-axis. - The second digit in the...

Pupil outcome: I can make compound shapes by joining two polygons in different ways. Key learning points: - The same parts can create a different whole. - Lines are parallel because they are always the same distance apart. - A...

Pupil outcome: I can make and draw quadrilaterals on circular geoboards and name quadrilaterals according to their properties. Key learning points: - Join four dots on the edge of the circle to create a quadrilateral. - Use the...

Pupil outcome: I can draw polygons on isometric paper. Key learning points: - Different patterns on the paper allow you to draw polygons with different properties. - A ruler helps to draw shapes accurately. - Mark the vertices of the...

Pupil outcome: I can use equipment to construct and compare quadrilaterals with and without parallel and perpendicular sides. Key learning points: - Construction strips allow you to create different polygons. - Lines are perpendicular...

Pupil outcome: I can draw quadrilaterals and other polygons with given properties. Key learning points: - If you know the properties of a shape you can use a ruler and a grid to create it. - Lines are perpendicular when they are at right...

Pupil outcome: I can compose symmetrical shapes from two identical shapes. Key learning points: - A shape is symmetrical when one half is a reflection of the other half. - When you fold a shape on a line of symmetry, the two halves will...

Pupil outcome: I can use folding to investigate lines of symmetry in different 2D shapes. Key learning points: - When you fold a shape on a line of symmetry, the two halves will match exactly. - A line of symmetry is not always...

Pupil outcome: I can decompose a polygon in different ways and identify properties of polygons. Key learning points: - The same whole can be split into different parts. - Lines are perpendicular when they are at right angles to each...

Pupil outcome: I can derive and use the formula for the area of a trapezium. Key learning points: - The area of some trapezia can be found by using compound shapes. - It is possible to find a relationship between trapizea and...

Pupil outcome: I can calculate a missing side length from the area of a trapezium. Key learning points: - The formula can be used to calculate the area of a trapezium. - The area of a trapezium can be used to calculate a missing side...

Pupil outcome: I can calculate the volume of a frustum of a cone. Key learning points: - The frustum of a cone can be thought of as a cone with the top missing. - The volume of a frustum of a cone can be thought of as the difference...

Pupil outcome: I can apply the distributive law to expressions involving surds. Key learning points: - Knowing how to perform arithmetic operations with surds means the distributive law can be considered. - Surds could be seen in either...

Pupil outcome: I can substitute particular values into a generalised algebraic statement to find a sense of how the value of the expression changes. Key learning points: - Expressions and formulae in context can be evaluated for...

Pupil outcome: I can identify column vectors which are parallel. Key learning points: - Vectors are parallel if the gradient of each vector is the same. - If drawn, you can see this visually. - Parallel vectors are multiples of each other.

Pupil outcome: I can change the subject when a simple algebraic fraction is present in an equation or formula. Key learning points: - It is important to apply the inverse operations in the right order. - The subject can be thought of as...

Pupil outcome: I can find the area of triangles, quadrilaterals and composite rectilinear shapes. Key learning points: - The formula can be used to find the area of a triangle. - There can be more than one way to find the area of a...

Pupil outcome: I can solve problems involving parallel/perpendicular lines on coordinate axes. Key learning points: - Parallel lines have the same gradient. - The product of the gradients of two perpendicular lines is -1 - Your knowledge...

Pupil outcome: I can use the constant cross-sectional area property of prisms to determine their volume. Key learning points: - The shape and area of the base of a prism can be found. - The area of the cross-section multiplied by the...