apt4Maths: Set of 18 PowerPoint Presentations (Relating to Geometry and Measures) on Measures Perimeter Area and Volume for GCSE (and Key Stage 3) Mathematics
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This set of 18 PowerPoint Presentations, written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations, are designed for use by:
- any teacher – not necessarily a maths specialist – as part of their own delivery of lessons.
- students working independently.
They can be used by:
- cover teachers.
- students who are unable to attend their lesson in person.
Each PowerPoint Presentation includes:
- Lesson objectives
- Step-by-step explanations of the subject matter
- Examples to aid understanding
- Questions to check understanding
- Answers to questions, with explanations
- Suggestions regarding which topic(s) should be moved on to next.
These PowerPoint Presentations are one of several sets of PowerPoint Presentations, which essentially relate to the ‘Geometry and Measures’ section of the Maths specifications. These other sets concern:
- Shapes, Angles & Constructions
- Symmetry, Transformations & Vectors
This set of 18 PowerPoint Presentations (265 slides, excluding Title Pages) covers the following topics relating to ’Measures, Perimeter, Area and Volume’:
- 01 Measures – Units, Equipment & Scales (15 slides): Reviews appropriate units and equipment for measuring, and explains how to interpret different scales.
- 02 Metric Measures and their Conversions (13 slides): Reviews the conversion rates between different types of metric units (for length, mass, and capacity), and explains how to convert between different metric units.
- 03 Converting between Metric and Imperial Units (11 slides): Reviews the conversion rates between different types of metric and imperial units (for length, mass, and capacity), and explains how to convert between metric and imperial units.
- 04 Time – Telling the Time (12 slides): Reviews how to tell the time and explains how to change between 12 hour and 24 hour clock times.
- 05 Time Calculations (12 slides): Reviews the different units for time before explaining how to convert between the different units and methods to use when undertaking calculations involving time.
- 06 Time – Dates, Calendars & Timetables (14 slides): Reviews days of the week and months and seasons of the year, before explaining how to use calendars and timetables.
- 07 Compound Measures (21 slides): Explains how to calculate the compound measures of speed, density, and pressure, and how to convert between different compound units.
- 08 Perimeter (12 slides): Explains how to find missing side lengths and how to calculate perimeters.
- 09 Area of Rectangles & Triangles (21 slides): Explains what is meant by area, how to estimate the area of any shape, and how to calculate the area of rectangles (and squares), and of triangles.
- 10 Area of Quadrilaterals (18 slides): Explains how to calculate the areas of parallelograms, kites, and trapezia (trapeziums).
- 11 Area of Rectilinear Compound Shapes (9 slides): Reviews the formulas for the areas of rectangles and triangles, before explaining how to calculate the area of rectilinear compound shapes.
- 12 Circles (18 slides): Reviews the terminology linked to different part of a circle before explaining how to calculate the circumference and area of circles, and how to find perimeters and areas of shapes involving circles and part-circles.
- 13 Pythagoras’ Theorum (23 slides): Explains Pythagoras’ theorem and how to apply it to 2D and 3D problems.
- 14 Harder Trigonometry (16 slides): Explains the Cosine Rule, how to find missing sides and missing angles using the Cosine Rule, and how to use trigonometry to find the area of any triangle.
- 15 Surface Area of Cuboids, Prisms & Cylinders (14 slides): Reviews the nets of common 3D shapes (cuboids, prisms, and cylinders), and explains how to apply the methods for finding the area of rectilinear compound shapes to finding the surface area of cuboids, prisms, and cylinders.
- 16 Surface Area of Pyramids, Cones & Spheres (11 slides): Reviews the nets of pyramids, cones, and spheres, and explains how to find the surface area of these shapes, as well as frustums and other complex 3D shapes (such as hemispheres), using prior knowledge of NETS, Pythagoras’ theorem and how to find the area of rectilinear shapes.
- 17 Volume of Cuboids, Prisms & Cylinders (15 slides): Explains how to find the volume of cuboids or cubes, prisms, and cylinders.
- 18 Volume of Pyramids, Cones & Spheres (11 slides): Explains how to find the volume of pyramids, cones, frustums, and spheres, as well as complex 3D shapes made from these.
Note: Distance-Time Graphs and Velocity-Time Graphs are included in APT’s set of PowerPoints on ‘Graphs’.