Can you work out the area of each shape?

Slides:



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

Area of Common Shapes.
Perimeter, Area and Volume Grades F to A. Hyperlinks! Counting Squares Area – working backwards Circles Volume of cuboids Sectors of circles Surface area.
Topic: Compound Areas Learning objectives: Calculate the area of shapes made from rectangles Identify the necessary information to simplify a problem.
Lesson Plan – Rectangles Mental and Oral Starter Pupils to complete the ‘heard the word’ grid. Main Activity Using mini white boards ascertain pupils prior.
Perimeter and Area.
Area & Perimeter Area of a rectangle = Area of a triangle = Area of a parallelogram = Area of a trapezium =
Perimeter Basics Solving Hard Perimeters Perimeter Perimeter St. Andrew’s Secondary.
Review: Area and Perimeter. Definitions 1. What is a polygon? 2. What does perimeter mean? 3. What does area mean?
8cm 5cm Area = 8 x 5 = 40cm 2 A parallelogram can be split up into a rectangle and 2 triangles – each with the same area. 10cm 5cm.
Areas How do you work out the area of this shape ? HINT.
What is Area? amount of space inside a flat shape measured in square units 1 cm Area of a Parallelogram (includes squares/rectangles) Calculator permitted.
Area and Perimeter 3D Shapes
Squares, Area, and Perimeter Test #7. Question 1 Area = 25cm 2 What is the perimeter?
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.
Extension. Calculate the area and perimeter of each of these shapes. 5cm 9cm 3cm 2cm 10cm 7cm 1cm 7cm 2cm 12cm 13cm
S3 BLOCK 8 Area and volume Area Learning Outcomes
Area Learning Outcomes I can find the area of the following 2D shapes.  Rectangle  Triangle  Trapezium  Parallelogram  Circle S3 BLOCK 8 Area and.
This presentation is based on KEY MATHS 7 (1) Press the LEFT mouse button to move on.
Area 1 Contents 1.GeneralGeneral 2.ShapesShapes 3.Quadrilaterals and TrianglesQuadrilaterals and Triangles 4.Circles and SectorsCircles and Sectors 5.Composite.
Rectangle The area of a rectangle is by multiplying length and height. The perimeter of a rectangle is the distance around the outside of the rectangle.
S3 BLOCK 8 Area and volume 1. Area I can find the area of the following 2D shapes.  Rectangle  Triangle  Trapezium  Circle.
The distance around an enclosed shape is called the perimeter. The amount of space enclosed inside a shape is called the area.
Area is the amount of surface space that a flat object has. Area is reported in the amount of square units.
Perimeter Of Shapes. 8cm 2cm 5cm 3cm A1 A2 16m 12m 10m 12cm 7cm.
Perimeter & Area 5.1. Define perimeter and area. Find the perimeter of a figure. Use two methods to find the area of compound figures. Apply the area.
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.
Tangrams Learning Objectives
Functional Skills – Maths L2 Perimeter, Area and Volume Presented by: Bill Haining.
Area of a Rectangle A=LW Length times Width Length width = 20 cm =12 cm A=20 12 A=240 cm 2.
Perimeter of Rectangles
Mensuration Objective Perimeter and area of shapes made from triangles and rectangles.
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.
Area and Perimeter.
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.
Area and Perimeter.
Area of a Right Angled Triangle
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.
Year 7: Length and Area Perimeter The perimeter of a shape is the total distance around the edge of a shape. Perimeter is measured in cm A regular shape.
Starter Activity: Perimeter 1 Calculate the distance around this shape (all angles are right angles)
What is Volume? volume.
Area.
Area of a Rectangle = base x height
Lesson Starter Q1. Calculate
Maths Unit 3 – Area & Perimeter
Measures.
UNIT 8: 2-D MEASUREMENTS PERIMETER AREA SQUARE RECTANGLE PARALLELOGRAM
Maths Unit 3 – Area & Perimeter
AREA OF SHAPES.
Starter Calculate the area of the following shapes 6m 120mm 110mm 4m
Look at the APP assessment sheets for Sequences and Probability.
Choose a shape and write down everything you know about it.
Perimeter.
Areas on a Grid © T Madas.
Area of triangle.
Area and Perimeter Ten quick questions.
SPLITTING OF COMBINED SHAPES
Area and Perimeter.
Area and Perimeter.
Friday, 24 May 2019 Formulae for Finding the Area of the Rectangle, Triangle, Parallelogram and Trapezium.
Area and Perimeter.
Area and Perimeter.
What is area and how is area found?
Area of a triangle Sunday, 16 June 2019.
Area of Plane Shapes.
Area of a triangle Sunday, 21 July 2019.
Starter Which of these shapes has the greatest perimeter?
Maths Unit 6 – Area & Perimeter
Presentation transcript:

Can you work out the area of each shape? Starter Can you work out the area of each shape? Each square is 1 cm².

Area: the amount of space th shape takes up. Measured in cm², m², mm². Glossary Area: the amount of space th shape takes up. Measured in cm², m², mm². Perimeter: the distance around the edge of the shape. Measured in cm, m, mm. Area Perimeter

Count the squares inside the shape Area =

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 Area = 42 cm²

Count the squares around the edge Area = 42 cm² Perimeter =

Area = 42 cm² Perimeter = 26 cm 7 8 9 10 11 12 13 6 14 5 15 4 16 3 17 18 1 19 26 25 24 23 22 21 20 Area = 42 cm² Perimeter = 26 cm

Can you work out the area of each shape? Review Can you work out the area of each shape? Each square is 1 cm². 20 cm² 24 cm² 15 cm²

Task Complete the dominoes activity by matching each question to its answer. Cut along the bold lines only. Each square is 1 cm².

Answers

Area = 12 cm² 3 lots of 4 3 x 4 = 12 cm² 3 lots of 5 3 x 5 = 15 cm²

Area = 6 lots of 8 6 x 8 = 48 cm² Area = 5 lots of 5 5 x 5 = 25 m²

Perimeter = 8 + 6 + 8 + 6 = 28 cm Perimeter = 5 + 5 + 5 + 5 = 20 m

Place any nine numbers below into the grid (repeats forbidden) 24 12 25 63 49 48 15 36 21 54 30 16 9 10 55 33 13

Find the area 5 cm 6 cm 30 cm² 14

Find the perimeter 1 cm 5 cm 12 cm 15

Find the area 6 cm 9 cm 54 cm² 16

Find the area 3 cm 8 cm 24 cm² 17

Find the area 3 cm 11 cm 33 cm² 18

Find the perimeter 10 cm 14 cm 48 cm 19

Find the area 7 cm 9 cm 63 cm 2 20

Find the area 7 cm 7 cm 49 cm² 21

Find the perimeter 9 cm 9 cm 36 cm 22

Find the area 2 cm 5 cm 10 cm² 23

Does it matter that it’s a triangle? Find the perimeter Does it matter that it’s a triangle? 3 cm 3 cm 3 cm 9 cm 24

Find the area 3 cm 5 cm 15 cm² 25

Find the perimeter 4 cm 4 cm 16 cm 26

Find the area 5 cm 5 cm 25 cm² 27

Find the area 3 cm 7 cm 21 cm² 28

Find the area 5 cm 11 cm 55 cm² 29

Answers A = 15 cm² A = 1 cm² A = 24 cm² P = 16 cm P = 4 cm P = 20 cm A = 12.5 cm² A = 2 cm² A = 0.75 m² P = 15 cm P = 7.4 cm P = 4 m A = 1.615 m² A = 0.6 cm² A = 39 mm² P = 5.3 m P = 3.4 cm P = 3.2 mm 18 cm 9 cm² 30 cm 22 m 20 mm² 56 mm²

Starter Match the area and perimeter to its rectangle. Fill in the missing cards.

Answers

How can we calculate the area of this compound shape? Split it into two rectangles. 6 cm 4 x 6 = 24 cm² 4 cm 6 cm 8 cm 8 x 4 = 32 cm² 8 cm 4 cm 24 + 32 = 56 cm² 10 cm ? cm 10 – 6 = 4 cm

Answers 13 cm² 66 cm² 42 cm² 126 cm² 112 cm² 108 cm²

Answers 22 cm 34 cm 30 cm 49 cm 56 cm 66 cm

What is the area of triangle A? Hint: What is the relationship between a rectangle and a triangle? height Hint: How could you use the area of a rectangle to work out the area of a triangle? base

Work out the area of the triangle. 4cm 6cm Area of triangle = ½ x 6 x 4 Area of triangle = ½ x 24 Area of triangle = 12cm2

Work out the area of the triangle. Area of triangle = ½ x 5 x 7 Area of triangle = ½ x 35 7cm Area of triangle = 17.5 cm2 5cm

Answers Extension: 21 x 2 = 42 42 ÷ 7 = 6cm ½ x 7 x 4 = 14cm2

How can we calculate the area of this parallelogram? 6 cm 5 cm 5cm 5cm

How can we calculate the area of this parallelogram? 4 cm 2 cm 5 cm 5cm 5cm

How can we calculate the area of this parallelogram? 4 cm 2 cm 5 cm 2 cm 4 cm

How can we calculate the area of this parallelogram? 5 cm 2 cm 4 cm

How can we calculate the area of this parallelogram? 5 cm 6 x 5 = 30 cm² 6 cm

What about this one? 7 x 9 = 63 cm² 7 cm 9 cm

15 cm² 56 cm² 49 cm² 64 cm² A B C D

20 cm² 45 cm² 180 cm² 36 cm² A B C D

80 cm² 20 cm² 100 cm² 18 cm² A B C D

Area and Perimeter Bingo Draw a 3 x 3 grid (what’s its area?) and fill it with 9 of the numbers below. Don’t forget to include units! 21 m² 10 cm² 12 m² 6 m 1 m² 4 m 20 cm² 5 cm² 13 m² 8 cm² 16 cm² 24 m 17 m² 7 m² 9 m² 14 cm² 18 m² 19 cm² 15 cm² 3 m 23 cm² 22 cm² 2 m² 11 m²

What is the area of this shape? 4 cm 5 cm

What is the area of this shape? 2 cm 8 cm

What is the area of this shape? 6 cm 4 cm

What is the area of this shape? 3 m 7 m

What is the area of this shape? 1 m 17 m

What is the area of this shape? 4 cm 2 cm

What is the area of this shape? 7 cm 4 cm

What is the area of this shape? 2 m 9 m

What is the perimeter of this shape?

What is the area of this shape? 1 m 13 m

What is the perimeter of this shape?

What is the area of this shape? 5 cm 2 cm

What is the perimeter of this shape?

What is the area of this shape? 1 m 1 m

What is the area of this shape? 2 cm 5 cm

What is the area of this shape? 5 cm 6 cm

What is the area of this shape? 1 m 2 m

What is the perimeter of this shape?

What is the area of this shape? 2 cm 11 cm

What is the area of this shape? 1 m 11 m

What is the area of this shape? 1 m 7 m

What is the area of this shape? 1 cm 19 cm

What is the area of this shape? 3 m 3 m

What is the area of this shape? 1 cm 23 cm

How can we calculate the area of this trapezium? b h h b a

a + b h a + b How can we calculate the area of this trapezium? Area of parallelogram = h (a + b)

a + b h a + b How can we calculate the area of this trapezium? Area of trapezium = ½ h (a + b)

a h b How can we calculate the area of this trapezium? Area of trapezium = ½ h (a + b)

5 cm ½ x 8 x (5 + 7) = ½ x 8 x 12 8 cm = ½ x 96 = 48 cm² 7 cm What about this one? 5 cm ½ x 8 x (5 + 7) = ½ x 8 x 12 8 cm = ½ x 96 = 48 cm² 7 cm

Answers 30 cm² 18 cm² 121 cm² 168 cm² 77 cm² 54 cm² 18 cm² 16.9 cm²