2D Shapes and properties: Maths

Polygon: What is polygon(Find the answers examples)-Google

A plain figure with at least three straight sides and angles.

Complete the table below: you must cut and paste the correct

image and definition for each shape. Use the internet to help if

you get stuck.

Triangles 3 sides The interior angles add to 180 o	Quadrilaterals 4 sides The interior angles add to 360 o	Other sided Polygons
Right angled triangle   It could be classified as a special kind of rhombus with all four interior angles equal to 90 o or it could also be classified  OR it could be classified as a special kind of rectangle with all four sides equal in length. Both pairs of opposite sides are parallel. All sides are equal in length. All interior angles equal 90 o Lines of symmetry: 4 Order of rotational symmetry: 4 The diagonals bisect each other at 90 o and are equal in length The diagonals bisect both pairs of opposite angles both pairs of interior opposite angles	Square   It is a special kind of parallelogram with all four sides of equal length. Both pairs of opposite sides are parallel. Both pairs of opposite sides are equal in length. Both pairs of opposite angles are equal. All sides are equal in length. Lines of symmetry: 2 Order of rotational symmetry: 2 The diagonals bisect each other at 90 o The diagonals bisect both pairs of opposite angles.	Pentagon 5 sided polygon Regular polygon 5 equal sides 5 equal interior angles where each angles is 108 o Lines of symmetry: 5 Order of rotational symmetry: 5
Isosceles triangle It is a quadrilateral with two pairs of adjacent sides equal and one interior angle that is more than 180 o One interior reflex angle Two pairs adjacent sides of equal length Lines of symmetry: 1 Order of rotational symmetry: 0	Rectangle   It could be classified as a special kind of parallelogram that has all four angles equal to 90 o. Both pairs of opposite sides are parallel. Both pairs of opposite sides are of equal length. Both pairs of opposite angles are equal. All interior angles are equal to 90 o Lines of symmetry: 2 Order of rotational symmetry: 2 Diagonals are equal in length. Both diagonals bisect each other.	Hexagon 6 sided polygon Regular polygon 6 equal sides 6 equal interior angles where each angles is 120 o Lines of symmetry: 6 Order of rotational symmetry: 6
Equilateral triangle   A triangle that has three equal sides The angles all equal to 60 o There are 3 lines of symmetry The order of rotational symmetry is 3.	Parallelogram   It is a quadrilateral with both pairs of opposite sides parallel. Both pairs of opposite sides are parallel. Both pairs of opposite sides are equal in length. Both pairs of opposite angles are equal. Lines of symmetry: 0 Order of rotational symmetry: 2 Both diagonals bisect each other.	Heptagon 7 sided polygon Regular polygon 7 equal sides 7 equal interior angles where each angles is 128.6 o Lines of symmetry: 7 Order of rotational symmetry: 7
Isosceles Trapezium  It is a special kind of trapezium with one opposite pair of sides that are equal in length Only one pair of parallel lines (bases) The non-parallel, opposite sides are the same length The angles on either side of the bases are the same size The diagonals the same length Lines of symmetry: 1 Order of rotational symmetry: 0	Rhombus   A rhombus is a parallelogram that has all equal sides The opposite sides are parallel and the opposite angles are equal. It is known as a parallel shape or in others words, an equilateral quadrilateral.	Octagon 8 sided polygon Regular polygon 8 equal sides 8 equal interior angles where each angles is 128.6 o Lines of symmetry: 8 Order of rotational symmetry: 8
Trapezium   A trapezium is a quadrilateral with one pair of sides that are parallel. It is a shape with unequal sides as for the base and top.	Arrowhead   A quadrilateral where one interior angle is more than 180o The two sides are equal leading to a point at the centre and top of the shape. There are also two lines that go inside the shape which are also equal, making it looking like an arrow.	Decagon   10 sided polygon Regular polygon 10 equal sides 10 equal interior angles where each angles is 144o Lines of symmetry: 10 Order of rotational symmetry: 10
	Kite A kite is a quadrilateral It is a shape where a group of two sides that are adjacent to each other have the same equal.	Nonagon 9 sided polygon Regular polygon 9 equal sides 9 equal interior angles where each angles is 140 o Lines of symmetry: 9 Order of rotational symmetry: 9

Measurement Task: Cake Competition

Cuboid

Length = 46 cm

Width = 32 cm

Height = 18 cm

Cylinder

Height = 20 cm

Diameter = 18 cm

Radius is equal to :  9 cm

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Finding the volume

Cuboid/Rectangle

Formula = Length x Width x Height

46 x 32 x 18 = 26,496 cm3

Cylinder

Formula = π r2 h

Π x 92 x 20 = 5089.3 cm3 (rounding to 1 decimal point)

26,496 + 5089.3 = 31585.3 cm3 is the volume of the cake

______________________________________________________________

Finding the surface area

Cuboid

Top = 46 x 32 = 1472 cm2

Bottom = 46 x 32 = 14722

Left = 32 x 18 = 576 cm2

Right = 32 x 18 = 576 cm2

Front = 18 x 46 = 828 cm2

Back = 18 x 46 = 828 cm2

1472 + 1472 + 576 + 576 + 828 + 828 = 5,752 cm2

Cylinder

Formula = 2 Π r2 + 2 Π r H

2 x Π x 92 + 2 x Π x 9 x 20 =

508.9 + 1130.9 = 1639.8 cm2(rounding to 1 decimal point)

5752 + 1639.8 = 7391.8 cm2 is the surface area of the cake

Today in maths we used the site Tinkercad to create and design any

3D shape or block. We could use any measurements of our own and

had to find the volume and surface area of the shape. As you can see

above, I've written the volume and surface area for the shape I created.

Prototec Maths Practise

Prototec Maths Tuesday 28.11.2017

Today In room 7 I have done a practise sheet on my basic facts . Although it was a stage 8 it wasn’t so challenging but only because I didn’t time myself . I pretty sure if I did , I would get less . Anyways from this activity I did learn about finding the ones ,tens ,hundreds and thousand places in decimals . Most times I would think you start the ones place on the right side, but actually it starts on the left side, which I have corrected myself . So from now on finding the ones,tens,hundreds and thousands places in decimals will be an easy task .