Mr Barton’s Maths Notes

Slides:



Advertisements
Similar presentations
Yes you do need to write this.
Advertisements

Perimeter, Area and Volume Grades F to A. Hyperlinks! Counting Squares Area – working backwards Circles Volume of cuboids Sectors of circles Surface area.
Renald Aquilina 4.3 Maths Project Area and Surface Area.
Mr Barton’s Maths Notes
Teacher Version Level Shape Space Measure
Area of Shapes n The area of a shape is the space it occupies. n Write down the name of each shape. Square Rectangle ParallelogramTrapezium Circle Triangle.
Unit 13 Areas Presentation 1Formula for Area Presentation 2Areas and Circumferences of Circles Presentation 3Formula for Areas of Trapeziums, Parallelograms.
Areas of Parallelograms. Parallelogram A parallelogram is a quadrilateral where the opposite sides are congruent and parallel. A rectangle is a type of.
Area of Quadrilaterals and Triangles. What is a quadrilateral? Any polygon with four sides and four vertices (or corners) All sides must be straight.
Area of Quadrilaterals
Area - Revision The area of a shape is simply defined by : “the amount of space a shape takes up.” Think of a square measuring 1 cm by 1cm we say it is.
Area and Perimeter.
Perimeter & Area Area of Shapes The area of a shape is the space it occupies. Try guessing the name of these shapes first: Square Rectangle ParallelogramTrapezium.
Area of shapes © T Madas.
1 Year 10 Revision Notes. 2 Revision List 1.Types of Number11. 3-d Shapes 2.Rounding12. Volume 3.Time13. Symmetry 4.The Calendar14. Angles 5.Negative.
Unit 10 Review Area Formulas. FOR EACH FIGURE: IMAGINE the shape THINK of its AREA FORMULA.
Finding Areas of Shapes. Area of a Triangle Area of Triangle = 1 x Base x Vertical Height 2 Vertical Height Base Right Angle.
Areas of Parallelograms and Triangles
This presentation is based on KEY MATHS 7 (1) Press the LEFT mouse button to move on.
Area.
Area 1 Contents 1.GeneralGeneral 2.ShapesShapes 3.Quadrilaterals and TrianglesQuadrilaterals and Triangles 4.Circles and SectorsCircles and Sectors 5.Composite.
What is area? The amount of space that a figure encloses
Perimeter Of Shapes. 8cm 2cm 5cm 3cm A1 A2 16m 12m 10m 12cm 7cm.
What is area? The amount of space that a figure encloses The number of square units that covers a shape or figure. It is two-dimensional It is always.
Area and Volume Using formulae. Finding Area and Perimeter of a Square or Rectangle Area is the measure of the amount of space a shape covers Perimeter.
A parallelogram has opposite sides and opposite angles equal.
Area.
AREA Remember: The perimeter of a shape is a measure of distance around the outside. The area of a shape is a measure of the surface/space contained within.
Mr Barton’s Maths Notes
What you will learn? Formulas for finding the areas of rectangles, parallelograms, triangles, trapezoids, kites, regular polygons, and circles by cutting.
Area of Plane Shapes Area of Compound Shapes 8 m 2 m 5 m 2 m Not to scale 4 m 3 m ? ? 16 m 2 20 m 2 6 m 2 Area = = 42 m 2.
Maths Notes Shape and Space 6. Volume
Area of a Right Angled Triangle
Finding the area of parallelograms and trapeziums
Semester 2 Revision. NAME: TEACHER: Ms LeishmanLangley/CocksMs Le-RoddaMr Sinniah (please circle your teacher’s name) GISBORNE SECONDARY COLLEGE Year.
Area & Perimeter An Introduction. AREA The amount of space inside a 2-dimensional object. Measured in square units cm 2, m 2, mm 2 Example: 1 cm 2 cm.
Perimeter and Area Formulas.  Perimeter is the distance around an object. It is easily the simplest formula. Simply add up all the sides of the shape,
Area & Perimeter Learning Objectives: 1.Learn to find perimeter and area of simple & compound/composite shapes. 2.Practice solving problems involving area.
Learning Objective To calculate areas of rectanglesTo calculate areas of rectangles To calculate areas of polygons made of rectanglesTo calculate areas.
Mr Barton’s Maths Notes
Area Formulas.
Parallelograms and Trapezoids
THE AREA OF A SHAPE.
Review of Shapes OK, so we are going to try and name the following shapes: No calling out, I want you to write down the name of the shapes We will take.
Maths Unit 3 – Area & Perimeter
AREA.
Mr F’s Maths Notes Shape and Space 5. Area.
Mr F’s Maths Notes Shape and Space 6. Volume.
Learning Objective To calculate areas of rectangles
Correct the following equation so that it makes sense – you can add numbers and operators to it. Challenge: Make the equation make sense by re-arranging.
UNIT 8: 2-D MEASUREMENTS PERIMETER AREA SQUARE RECTANGLE PARALLELOGRAM
Calculate Areas of Rectangles, Triangles, Parallelograms and Circles
STARTERS Find the area of Trapezium = 750 Rectangle = 1000
Maths Unit 3 – Area & Perimeter
Knowledge of quantities / calculating areas
Area of Shapes The area of a shape is the space it occupies.
Mr Barton’s Maths Notes
Choose a shape and write down everything you know about it.
Mr Barton’s Maths Notes
GEOMETRY UNIT.
Mr Barton’s Maths Notes
Area of triangle.
Mr Barton’s Maths Notes
By- Sabrina,Julianna, and Killian
Mr Barton’s math Notes 5. Area
Area of Plane Shapes.
Perimeter, area and volume. A A A A A A Contents S8 Perimeter, area and volume S8.1 Perimeter S8.6 Area of a circle S8.2 Area S8.5 Circumference of a.
Maths Unit 8 (F) – Perimeter, Area & Volume
Maths Unit 6 – Area & Perimeter
Presentation transcript:

Mr Barton’s Maths Notes Shape and Space 5. Area www.mrbartonmaths.com

5. Area A Quick Word about Area The Importance of Perpendicular Height Working out the areas of shapes is easy… so long as you remember the formulas! Sometimes you will be given them in exams, but more often they need to be fixed in your head! NEVER FORGET every time you work out an area, give your answer as SQUARED UNITS e.g. m2, cm2, km2, mm2 etc The Importance of Perpendicular Height As you will see, most of the formulas for area involve multiplying the base of the shape by it’s height… but it’s not just any old height! The height must be perpendicular to the base! What? All that means is that the height you measure must be at right angles (900) to the base So… if the base is horizontal (flat), then the height you want is vertical (straight up), not any slanted height that they may give you in the question to try and trip you up! rubbish Perpendicular height base rubbish base Perpendicular height

1. Rectangle 2. Triangle Example Example Area = h h b Area = b Area = What to do: Multiply the base by the height! What to do: Multiply the base by the (perpendicular) height and remember to divide your answer by 2! Example Example 3 cm Area = Area = = 60m2 15 m 9 cm = 27cm2 12 m 10 m

3. Parallelogram 4. Trapezium Example Example q h h Area = b p Area = What to do: Add together the lengths of your two parallel sides and divide the answer by 2. This gives you the average length of your base. Then multiply this by the vertical height! What to do: Multiply the base by the perpendicular height… definitely not the slanted height! Example Example Area = 5 mm 10 mm 12 mm 4.2 cm = 28cm2 2.8 cm Area = = 50mm2 8 cm

5. Kite 6. Circle Example Example r h Area = b Area = Area = Area = What to do: Find the radius of your circle (if you are given the diameter, just halve it!). Square the radius, and multiply your answer by pi! Area = What to do: The base and height in a kite are just the two diagonals from point to point… so multiply them together! Example Diameter = 12.6 m Example Radius = 6.3 m 12.6 m Area = Area = 2.5 m = 10m2 4 m = 124.7 m2 (1dp)

Compound Area Area = = 77mm2 Area = Total Area Area = 77 + 162 Sometimes you are given quite complicated shapes and asked to work out the area. The technique here is to split them up into some of the 6 shapes you know how to work out the area of and just add together your answers! Try to be as clear as you can in your working to keep Mr Examiner happy! I have chosen to split this shape up into a rectangle and a trapezium. It is also possible to split it up into rectangles and triangles. It is completely up to you! 1 2 1 Rectangle Area = Area = = 77mm2 2 Trapezium Total Area Area = 77 + 162 = 239 mm2 Area = = 162mm2

Surface Area 6 cm Area = 10 cm 2 cm 8 cm Area = = 24cm2 I think of surface area as the exact amount of wrapping paper you would need to wrap up a 3D shape. People get themselves into a right muddle with surface area questions, mostly because they do not set them out properly and they end up forgetting sides or counting some twice! All you need to do is think about what flat 2D shape is on each side of your 3D object, work out its area, and tick off that side! It’s just like compound area, only it gets you loads more marks! Okay, so once again I am going to number each side, decide what shape it is, work out it’s area, and then move onto the next! 5 3 2 1 Triangle 6 cm Area = 10 cm 1 2 cm 8 cm Area = 4 = 24cm2

Area = Area = = 20cm2 Area = = 12cm2 Area = Area = Area = 24cm2 Area = 3 2 Rectangle Rectangle Area = Area = = 20cm2 Area = = 12cm2 Area = 4 5 Triangle Rectangle 1 Exact same shape as Area = Area = 24cm2 Area = = 16cm2 Total Area 24 + 20 + 12 + 16 + 24 = 96 cm2

Good luck with your revision!