Download presentation

Presentation is loading. Please wait.

Published byBryanna Skerrett Modified over 3 years ago

1
Mathematics Involving Shape and Space a Algebra

2
The 9-Dot Problem

3
Objectives Solve geometrical problems Identify the properties of 2-d shapes

4
Have a go at Triangles Draw as many different triangles by joining three of the nine dots

5
Have a go at Quadrilaterals Draw as many different quadrilaterals by joining four of the nine dots

6
Algebra Walls Constructing and solving equations using Algebra Walls

7
Algebra walls 5 = 27 n7 ? 12 ? n + 7 ? n + 19 n + 19 = 27 n = 27 - 19 n = 8

8
Algebra walls 5 = 27 n7 ? 12 ? 15 ? 27 n = 8 Back substitute to check 8

9
Algebra walls 2n = 35 n + 37 ? 2n + 7 ? n + 10 ? 3n + 17 3n + 17 = 35 3n = 35 - 17 3n = 18 n = 6

10
Algebra walls = 35 ? 19 ? 16 ? 35 n = 6 Back substitute to check 9 2nn + 37 12 12

11
Algebra walls 5 = 42 n = 27 12 n + 5n 26 162n n + 26 = 73= 32 n -16n + 14 n + 26 24 - n3n + 4 4n + 6 = 88 4 - 2n2n + 8 6n + 7 = 33 Solve for n and back substitute to check n = 5 n = 2 n = 5 n = 6 n = 2.5

12
Constructing and solving equations using the perimeter of shapes

13
Perimeter and algebra n + 2 3n 6n The perimeter of this shape is 22cm. Find the length of each side Total perimeter = ? 3n + n + 2 + 6n =10n + 2 10n + 2 = 2210n = 20n = 2 ? ? 6 12 4 Check: 6 + 4 + 12 = 22 so n = 2 is correct The length of each side is 6, 4 and 12 Substitute n = 2 into the expressions for each length

14
Perimeter and algebra 12 - n 3n - 4 4n The perimeter of this shape is 38cm. Find the length of each side Total perimeter = ? 3n - 4 + 12 - n + n + 2 + 4n =7n + 10 7n + 10 = 387n = 28n = 4 ? ? 8 16 8 Check: 8 + 8 + 6 + 16 = 38 so n = 2 is correct The length of each side is 8, 8, 6 and 16 Substitute n = 4 into the expressions for each length n + 2 ? 6

15
Perimeter and algebra 3n - 5 2n - 4 n + 6 The perimeter of each shape is inside the shape. Find the length of each side n + 2 41cm a) n +5 n + 6 n + 30 50cm b) 15 - n 2n + 8 2n + 6 n + 2 63cm c) 2n + 8 15 - n 8n - 8 n + 6 24 – 2n 115cm d) n + 8 n + 6 Solve for n and back substitute to check n = 3 n = 6 n = 4 n = 8

16
THE END!

Similar presentations

OK

Numbers Treasure Hunt Following each question, click on the answer. If correct, the next page will load with a graphic first – these can be used to check.

Numbers Treasure Hunt Following each question, click on the answer. If correct, the next page will load with a graphic first – these can be used to check.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on team building and motivation Ppt on remote operated spy robot Ppt on council of ministers cambodia Ppt on hindu religion in india Seminar ppt on mind reading computer Ppt on leadership skills download Free download ppt on impact of social networking sites Ppt on revolution of the earth and seasons quiz Ppt on credit default swaps 2016 Free ppt on albert einstein