100 likes | 261 Views
Starter Questions. They ask the local council for a start up loan of £18 000 to help run the business for the next year. (a) The council decide to give the group 60% of the money they have asked for. How much money will they receive?.
E N D
Starter Questions They ask the local council for a start up loan of £18000 to help run the business for the next year. (a) The council decide to give the group 60% of the money they have asked for. How much money will they receive? A group of local businessman want to start up a new business that will generate money for the area. (b) Last year the group received a grant of £7200 to help run the club. If this represented 80% of what they actually asked for, how much did they ask for last year?
Complicated Linear Patterns using diagrams and tables Learning Intention • Using tables to help us come up with formulae for complicated Linear Patterns using diagrams and tables.
3 Tables 1 Table 2 Tables Task : Find a formula connecting the number of tables and the number of surfers. A internet café decides to change it’s table design to. Complicated Linear Patterns using diagrams and tables
3 Tables 1 Table 2 Tables 8 4 6 2 3 1 5 4 2 2 2 2 Fill empty boxes Complicated Linear Patterns using diagrams and tables Number of Tables Step 1 : Number of Surfers 10 12 What is the formula Step 2 : Find difference Same difference linear pattern
Number of Tables Number of Surfers 10 12 2 4 5 1 3 6 4 8 2 2 2 2 S = 2 x T Part of the Formula Can you write down formula connecting the number of surfers and the number of tables. Complicated Linear Patterns using diagrams and tables Find a number so formula works Step 3 : Step 4 : S = 2T + 3 Correction factor “add on 3”
Key-Points Complicated Linear Patterns using diagrams and tables Write down the 4 main steps 1. Make a table 2. Find the difference 3. Write down part of formula 4. Find the correction factor and then write down the full formula
A pattern is used using matchsticks as seen below. Complicated Linear Patterns using diagrams and tables 1 triangle 2 triangles 3 triangles Task : Find a formula connecting the number of triangles and the number of matchsticks.
2 4 5 1 3 5 3 7 2 2 2 2 Fill empty boxes Complicated Linear Patterns using diagrams and tables 1 triangle 2 triangles 3 triangles Number of Triangles (T) Step 1 : Number of Matchsticks (M) 9 11 What is the formula Step 2 : Find difference Same difference linear pattern
Number of Triangles (T) Number of Matchsticks (M) 9 11 2 4 5 1 3 5 3 7 2 2 2 2 S = 2 x T Part of the Formula Can you write down formula connecting the number of trianglesand the number of matchsticks. Complicated Linear Patterns using diagrams and tables Find a number so formula works Step 3 : Step 4 : S = 2T + 1 Correction factor “add on 1”
Complicated Linear Patterns using diagrams and tables Now try Ex 2 Ch17 Pg 209 Start Q2