1. Kites in Geometry

2. Lesson Plan – Parallelograms, Kites, Trapeziums.
Objectives and Habits of Mind
Level 4 - To accurately measure the length and width of rectangles to the nearest mm.
Level 5– To find the area and perimeter of rectangle using formula.
Level 6 – To find the area of triangles, parallelogram, rhombuses and trapeziums using formula.
I can work well in a group, listening attentively and taking on different roles when needed.
I can negotiate and follow ground rules, to ensure fairness and cooperation when working with others.
I can identify the best information to help complete a task and put it into my own words.
Keywords: Area, Base, Height, Formula
Mental and Oral Starter
Pupils to complete the table provided by drawing a picture of each polygon and writing in the formula for finding the area. Once they have had a go at doing this on their own give them a copy of a correct completed table to stick into their books.
Main Activity
Demonstrate how to find the area of kites, parallelograms and trapeziums using slides 7-10 to prove how / why the formulas work. Give out the ‘today’s task’ instruction sheet to each group and briefly talk through the instructions with the class. Make sure that pupils understand their role. Discuss the learning outcomes and explain that the anyone working out the rectangular parts of the house should also calculate the perimeters. Give each group slides to cut out and fit together to make the house. Remind pupils that they should refer to their formula sheet they completed as the starter activity and make sure they show all their working out.
Plenary
Pupils to reflect on the success criteria for the Habits of Mind and Maths Objectives

3. LO To find the area of other polygons
RAG
Key Words: Area, Perimeter, Length, Width
1-Jan-18
Starter Activity
Complete the table provided by drawing a picture of each polygon and writing in the formula for finding the area.

4. Today we are learning Level 3 4 5 6 7 8
Shape
Space
Measure
I understand and can explain the difference between area and perimeter.
I can find the area and perimeter of shapes by counting squares.
I can find the area of rectangles and squares using a formula.
I can find the area of triangles, kites, parallelogram trapeziums and circles.
I can use formulae for the volume of cuboids. I can find the volume and surface area of cuboids.
I can calculate volumes and surface area of prisms and cylinders.
I understand the difference between formulae for area, perimeter and volume by considering dimensions.
Today we are learning
I am starting the lesson on level _____________________
By the end of this lesson I want to be able to _____________________

5. Key Words Polygon Length Width Height Perimeter Area Surface Area
Volume
Circumference
Radius
Diameter Pi

6. Polygon Name Formula for Area Rectangle Area = Triangle Parallelogram
Kite
Trapezium

7. Polygon Name Formula for Area Rectangle Area = Triangle Parallelogram
Kite
Trapezium

8. Area = base x perpendicular height
Polygon
Name
Formula for Area
Rectangle
Area = length x width
Triangle
Area = (base x height) ÷ 2
Parallelogram
Area = base x perpendicular height
Rhombus
Area = ½ base x height
Trapezium
Area = ½ (sum of parallel sides) x height

9. Base x perpendicular height
4cm
5cm
So area of a parallelogram is ;
Base x perpendicular height
= 20cm2

10. Height hasn’t changed – still 8cm 8cm 8cm
Width has halved to 3cm.
6cm
3cm
So – area of a kite or rhombus is;
Half of base x height
= 3 x 8
= 24cm2

11. Now for the tricky one; 6cm 4cm 10cm 1cm 1cm 1cm 1cm

12. Now for the tricky one; 6cm 4cm 10cm
The width of the rectangle is the same as the height of the trapezium.
The length of the rectangle is the same as the bottom and top of the trapezium added together and then halved.
So – area of a Trapezium is;
Half the sum of the parallel sides x the gap between them.
= (6+10)/2 x 4
= 32cm2

13. Work out the area of each polygon, you will need to measure the sides.
Today’s Task
Work out the area of each polygon, you will need to measure the sides.
Fit them together to create a house
Find the total area of the house.