Using scale to find area and lengths.
Understand the meaning of scale. Be able to use scale to determine the image or real size.
What is scale?
Scale is a concept that is used in arranging, measuring or quantifying events, objects or phenomenon in any sequence.
Ratio of the size of an object as drawn to its actual size.
Size of picture: Size in reality.
Length scale = length of image
length in reality
If the scale is larger than 1, the picture is an enlargement.
If the scale is less than 1, the image is a reduction.
The main part of the lesson, will start with the learners watching a video on scale (see attached).
While the video is playing, the teacher will stop it at various points and ask learners questions on what was said, to gauge their understanding and keep them active in the lesson.
Putting theory into practice:
In a drawing, a room is a square with an area of 16 cm². If the scale is 1 : 100, how big is the area of the room in reality?
Length scale: 1 : 100
Area scale: (1 : 100)² = 1² : 100² = 1 : 10 000
so, 1 x 16 cm ² : 10 000 x 16 cm² = 16 cm² : 160 000 cm²
You can convert 160 000 into meters, which will give you 16 cm² : 16 m²
An artist drew a picture of a lady bug. the picture of the lady bug was 15 cm. The scale of the lady bug drawing to its size in reality is 3:1.
What is the actual size of the lady bug.
Length scale = Length of the image
Length in reality
Length scale: 15 cm = 3
x cm 1
Length scale: 3x cm = 15 cm
Length scale: 3x cm = 15 cm
3 3
Length scale : x = 5 cm
so the lady bug in reality is 5 cm.
http://webbapp.liber.se/matematikboken-z/#
http://webbapp.liber.se/matematikboken-z/#/3-geometri
Textbook work:
Ett pg. 122 no. 3038, 3039, 3034.
Två pg. 123 no. 3042, 3043 abcd, 3044, 4045.
Tre pg. 124 no. 3047, 3048 ab, 3049, 3050.
Fyra pg. 125 no 3052, 3053 abc, 3054, 3055