- These are two-dimensional views of a three-dimensional object
- They are the mathematical shapes you would see when looking directly at a 3D object, ignoring colour, shade, vanishing points, etc.
- This topic is often used alongside Isometric Drawing

- Consider looking at a 3D object, such as a building
- Think about the different directions you could look at the object
**from** - There is the front view, the side view and the view from directly above

- Think about the different directions you could look at the object

- The view you would see if you were looking directly down on an object is called the
**plan view**- This is commonly known as a birds-eye-view

- The shape you would see if you were stood directly in front of the object is called the
**f****ront elevation**

- The shape you would see if you were stood directly facing the side of the object is called the
**side elevation**

- These questions often require your answer to be drawn on a given grid using the grid as a scale
- To avoid having to repeatedly rub out and change your working it is a good idea to roughly sketch out your answer first – either on the side of the page or on a separate sheet of paper

- With isometric drawings, it is often helpful to colour the three views on the diagram
- This will make it easier for you to see the three elevations and any ‘hidden’ parts
- If you don’t have colours you can use different types of shading (lines, dots, crosses, etc)

Using squared paper draw the plan, front and side elevations of the object shown below on isometric paper.

It can be helpful to colour each of the three views in three different colours.

As you draw each of three views, make sure you label them clearly to say which is the plan, the front elevation and the side elevation.

Notice that two of the squares shaded orange cannot be seen from the side as they are hidden by the cubes in front of them.

- Mathematical Operations
- Negative Numbers
- Money Calculations
- Number Operations
- Related Calculations
- Counting Principles

- Types of Number
- Prime Factor Decomposition
- HCF & LCM

- Powers, Roots & Indices
- Standard Form

- Basic Fractions
- Operations with Fractions

- Basic Percentages
- Working with Percentages

- Interest & Depreciation
- Exponential Growth & Decay

- Converting between FDP
- Converting between FDP

- Rounding & Estimation
- Bounds

- Simplifying Surds
- Rationalising Denominators

- Using a Calculator

- Algebraic Notation & Vocabulary
- Algebra Basics

- Algebraic Roots & Indices

- Expanding Single Brackets
- Expanding Multiple Brackets

- Factorising
- Factorising Quadratics
- Quadratics Factorising Methods

- Completing the Square

- Rearranging Formulae

- Algebraic Proof

- Solving Linear Equations

- Solving Quadratic Equations
- Quadratic Equation Methods

- Simultaneous Equations

- Iteration

- Forming Equations
- Equations & Problem Solving

- Functions Toolkit
- Composite & Inverse Functions

- Coordinates
- Coordinate Geometry

- Straight Line Graphs (y = mx + c)
- Parallel & Perpendicular Lines

- Types of Graphs
- Graphical Solutions
- Trig Graphs

- Equation of a Circle
- Equation of a Tangents

- Finding Gradients of Tangents
- Finding Areas under Graphs

- Distance-Time & Speed-Time Graphs
- Conversion Graphs
- Rates of Change of Graphs

- Solving Linear Inequalities
- Conversion Graphs
- Solving Quadratic Inequalities

- Graphing Inequalities

- Reflections of Graphs

- Introduction to Sequences
- Types of Sequences
- Linear Sequences
- Quadratic Sequences

- Simple Ratio
- Working with Proportion

- Ratios & FDP
- Multiple Ratios

- Direct & Inverse Proportion

- Time
- Unit Conversions
- Compound Measures

- Symmetry
- 2D & 3D Shapes
- Plans & Elevations

- Basic Angle Properties
- Angles in Polygons
- Angles in Parallel Lines

- Bearings
- Scale & Maps
- Constructing Triangles
- Constructions & Loci

- Angles at Centre & Semicircles
- Chords & Tangents
- Cyclic Quadrilaterals
- Segment Theorems
- Circle Theorem Proofs

- Area & Perimeter
- Problem Solving with Areas

- Area & Circumference of Circles
- Arcs & Sectors

- Volume
- Surface Area

- Congruence
- Similarity
- Geometrical Proof

- Similar Area & Volumes

- Pythagoras Theorem
- Right-Angled Trigonometry
- Exact Trig Values

- Sine & Cosine Rules
- Area of a Triangle
- Applications of Trigonomet

- 3D Pythagoras & Trigonometry

- Introduction to Vectors
- Working with Vectors

- Translations
- Reflections
- Rotations
- Enlargements
- Combination of Transformations

- Basic Probability
- Relative & Expected Frequency

- Two Way Tables
- Frequency Trees
- Set Notation & Venn Diagrams

- Tree Diagrams

- Combined Probability
- Conditional Probability
- Combined Conditional Probabilities

- Mean, Median & Mode
- Averages from Tables
- Range & Quartiles
- Comparing Distributions
- Population & Sampling

- Bar Charts & Pictograms
- Pie Charts
- Time Series Graphs
- Working with Statistical Diagrams

- Histograms

- Cumulative Frequency Diagrams
- Box Plots

- Scatter Graphs

Menu