GCSEMath

GCSE GEOMETRY AND MEASURES!

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COORDINATES (COORDINATES IN THE 4 QUADRANTS)

Plotting positive and negative points, drawing shapes given coordinates. 
 

POLYGONS
 

 

ANGLES (MEASURING)

Using a protractor to measure angles rather than using angle facts!
 

 

ANGLES (ANGLES ON A STRAIGHT LINE & AROUND A POINT – ANGLE FACTS)

Loads of angle facts in one!
 

 

ANGLES (ANGLES IN TRIANGLES)

Equilateral, isosceles, right-angled, scalene and basic angle facts!
 

 

ANGLES (ANGLES IN PARALLEL LINES)

Corresponding (F), Alternate (Z) and Co-interior (C) Angles!
 

 

ANGLES (INTERIOR AND EXTERIOR ANGLES IN POLYGONS)

Interior, exterior, sums!
 

 

AREA (AREA OF 2D SHAPES RECTANGLES, TRIANGLES, TRAPEZIUM, PARALLELOGRAM, KITE AND COMPOUND SHAPES)

Finding the area of a range of 2D shapes. Some perimeter is included.
 

 

VOLUME AND SURFACE AREA OF PRISMS (CUBES, CUBOIDS, CYLINDERS, TRIANGULAR PRISMS)

Volume of prisms!
 

 

VOLUME & SURFACE AREAS (SPHERES, CONES, FRUSTUMS, PYRAMIDS)

Loads of different things!
 

 

CIRCLES (CIRCLE PARTS)

Naming the radius, diameter, circumference, chord, tangent, arc, segment, sector and centre.
 

 

CIRCLES (AREA AND CIRCUMFERENCE OF A CIRCLE)

Finding the area (space inside) and circumference (perimeter or distance around the outside) of a circle.
 

 

ARCS AND SECTORS (SEGMENTS TOO!)

Arc length, area of sectors and area of segments
 

 

CIRCLES (CIRCLE THEOREMS)

Finding angles in circles using a range of theorem (Box, Arrow, Cyclic Quadrilateral, Tangent/Radius, Alternate Segment etc)
 

 

CIRCLES (EQUATION OF A CIRCLE AND THE EQUATION OF A TANGENT TO A CIRCLE)

Drawing circles from their equations, using algebra to find the equation of a tangent.
 

 

3D DRAWINGS (USING ISOMETRIC PAPER)

Drawing 3D shapes using special paper!
 

 

PLANS AND ELEVATIONS

Drawing 2D faces of shapes given a diagram their 3D shape.
 

 

CONSTRUCTIONS (TRIANGLES ANGLE BISECTIONS & LINE BISECTORS)

Using a pair of compasses to bisect lines, construct triangles and perpendicular bisectors
 

 

LOCI (THE LOCUS OF POINTS)

Basic problems and problems in context
 

 

THE 4 TRANSFORMATIONS (TRANSLATIONS, ROTATIONS, ENLARGEMENTS & REFLECTIONS

Carrying out transformations and naming them!
 

 

THE 4 TRANSFORMATIONS (ENLARGEMENTS ABOUT A POINT)

Enlargements given a centre including positive, fractional and negative scale factors.
 

 

CONGRUENT AND SIMILAR SHAPES (BASICS)

Spotting congruent and similar shapes. These are not proofs!
 

 

​CONGRUENT AND SIMILAR SHAPES (SIMILAR TRIANGLES)

Using similarity to find missing lengths in similar triangles.
 

 

​CONGRUENT AND SIMILAR SHAPES (CONGRUENT TRIANGLES)

 

 

CONGRUENT AND SIMILAR SHAPES (SIMILAR SOLIDS – LINEAR AREA AND VOLUME)

LAV! Length, area and volume of similar solids!
 

 

MAPS AND SCALE FACTORS

Measuring on maps and doing conversions with given scales
 

 

SPEED DISTANCE TIME (SDT) – COMPOUND MEASURES

Finding speed, distance and time values including having to convert time units.
 

 

DENSITY MASS VOLUME (DMV) & PRESSURE FORCE AREA (PFA)

More compound measures!
 

 

METRIC CONVERSION (LINEAR, AREA AND VOLUME)

 

 

BEARINGS (3 FIGURE BEARINGS)

Measured from North, measured clockwise and given 3 figures! It’s just angles in a boat!
 

 

PYTHAGORAS THEOREM 2D (MISSING LENGTHS IN RIGHT-ANGLED TRIANGLES)

Finding a missing length in a right-angled triangle given two sides!
 

 

PYTHAGORAS THEOREM 3D (MISSING LENGTHS IN RIGHT-ANGLED TRIANGLES)

Using Pythagoras Theorem to find missing lengths in 3D shapes such as triangular prisms and pyramids.
 

 

TRIGONOMETRY  2D (TRIGONOMETRIC RATIOS SOHCAHTOA, ​(MISSING LENGTHS AND ANGLES IN RIGHT-ANGLED TRIANGLES)

Using the trig ratios sine, cosine and tan to find missing lengths and angles in right angled triangles
 

 

​TRIGONOMETRY 3D (TRIGONOMETRIC RATIOS SOHCAHTOA, ​(MISSING LENGTHS AND ANGLES IN RIGHT-ANGLED TRIANGLES)

Using Pythagoras Theorem AND SOHCAHTOA to find missing lengths in 3D shapes such as triangular prisms and pyramids.

​TRIGONOMETRY (SINE AND COSINE RULE, ​(MISSING LENGTHS AND ANGLES IN NON-RIGHT-ANGLED TRIANGLES)

The Sine Rule and the Cosine Rule for no=right triangles! Missing lengths and angles.
 

 

TRIGONOMETRY (USING TRIGONOMETRY FOR THE AREA OF A TRIANGLE)

1/2absin(C) for non-right triangles!
 

 

TRIGONOMETRY (TRIGONOMETRIC GRAPHS)

 

 

TRIGONOMETRY (SPECIAL ANGLES AND EXACT VALUES OF 0, 30, 45, 60 AND 90 DEGREES)

 

 

VECTORS (VECTOR ARITHMETIC)

 

 

VECTORS (VECTOR GEOMETRY)

Vector journeys in geometry
 
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