Lesson 1 Introduction & Algebraic Patterns Preliminary General Mathematics Topic 1 Algebra
Welcome Simon Borgert- HT Maths [email_address] [email_address] @simonborgert
Welcome Textbooks - need to borrow from library if they have a barcode - I will check! Look inside the front cover - resource number - write on the sheet coming around Mandatory every lesson Workbook (can use OneNote if you like) & textbook (I will make it available electronically as well) Laptop Calculator - must be Casio fx-82AU
Technology stuff... Moodle - you must use! Join the General Mathematics course ( password mathsrules) Facebook Group - look for Preliminary General Mathematics QR Codes - can you get a reader for your phone (should be free! - or already on it)
phones, ipods etc You can use them whenever you want but...... Good manners dictates! This is the rule for my classroom only - don’t expect it from other teachers.
Pre Test Complete - 20 minutes Show any working you need on the paper If you don’t finish - complete for homework
FLOWERBEDS Here are four flowerbeds surrounded by slabs How many slabs would you need for 100 flowerbeds?
STRATEGY Break the problem into smaller pieces Tabulate results Look for patterns and why they occur Find a formula  Solve the problem
You can work in groups of up to 2! :) your solution needs to be written up with a full explanation
Break the problem into smaller pieces 1   Flowerbed has  6   slabs Draw the diagrams for 3 and 4 flowerbeds 2   Flowerbeds have  10   slabs
Tabulate results 14 18 Flowerbeds Slabs 1 6 2 10 3 4
Look for patterns… 14 18 +4 +4 +4 … and why they occur Flowerbeds Slabs 1 6 2 10 3 4
… and why they occur 6 +4 +4 +4 + 3 lots of  4
Find a formula   Flowerbeds Working out Slabs 1 6 + 0x4 6 2 6 + 1x4 10 3 6 + 2x4 14 4 6 + 3x4 18
6 + 4x4 6 + 9x4 6 + (n-1)x4 22 42 6+4(n-1) Flowerbeds Working out Slabs 1 6 + 0x4 6 2 6 + 1x4 10 3 6 + 2x4 14 5 10 n
Solve the problem 100 flowerbeds?
Worksheet 5.1from textbook Join the Moodle Course Join the Facebook Group Find a QR code reader for your phone Post your expectations & commitment  (to General Mathematics) as a word document in the Introducing your self discussion forum. Homework

Topic 1 algebra lesson 1

  • 1.
    Lesson 1 Introduction& Algebraic Patterns Preliminary General Mathematics Topic 1 Algebra
  • 2.
    Welcome Simon Borgert-HT Maths [email_address] [email_address] @simonborgert
  • 3.
    Welcome Textbooks -need to borrow from library if they have a barcode - I will check! Look inside the front cover - resource number - write on the sheet coming around Mandatory every lesson Workbook (can use OneNote if you like) & textbook (I will make it available electronically as well) Laptop Calculator - must be Casio fx-82AU
  • 4.
    Technology stuff... Moodle- you must use! Join the General Mathematics course ( password mathsrules) Facebook Group - look for Preliminary General Mathematics QR Codes - can you get a reader for your phone (should be free! - or already on it)
  • 5.
    phones, ipods etcYou can use them whenever you want but...... Good manners dictates! This is the rule for my classroom only - don’t expect it from other teachers.
  • 6.
    Pre Test Complete- 20 minutes Show any working you need on the paper If you don’t finish - complete for homework
  • 7.
    FLOWERBEDS Here arefour flowerbeds surrounded by slabs How many slabs would you need for 100 flowerbeds?
  • 8.
    STRATEGY Break theproblem into smaller pieces Tabulate results Look for patterns and why they occur Find a formula Solve the problem
  • 9.
    You can workin groups of up to 2! :) your solution needs to be written up with a full explanation
  • 10.
    Break the probleminto smaller pieces 1 Flowerbed has 6 slabs Draw the diagrams for 3 and 4 flowerbeds 2 Flowerbeds have 10 slabs
  • 11.
    Tabulate results 1418 Flowerbeds Slabs 1 6 2 10 3 4
  • 12.
    Look for patterns…14 18 +4 +4 +4 … and why they occur Flowerbeds Slabs 1 6 2 10 3 4
  • 13.
    … and whythey occur 6 +4 +4 +4 + 3 lots of 4
  • 14.
    Find a formula Flowerbeds Working out Slabs 1 6 + 0x4 6 2 6 + 1x4 10 3 6 + 2x4 14 4 6 + 3x4 18
  • 15.
    6 + 4x46 + 9x4 6 + (n-1)x4 22 42 6+4(n-1) Flowerbeds Working out Slabs 1 6 + 0x4 6 2 6 + 1x4 10 3 6 + 2x4 14 5 10 n
  • 16.
    Solve the problem100 flowerbeds?
  • 17.
    Worksheet 5.1from textbookJoin the Moodle Course Join the Facebook Group Find a QR code reader for your phone Post your expectations & commitment (to General Mathematics) as a word document in the Introducing your self discussion forum. Homework

Editor's Notes

  • #5 Talk about what Moodle and Facebook groups will be used for No friends on Facebook!
  • #6 Discuss what good manners means!
  • #7 Discuss what good manners means!
  • #10 Each person must submit a solution.
  • #11 Give three minutes for this
  • #12 Ask for pupils to give their results
  • #16 Give pupils three minutes to do this. Ask for their responses.
  • #17 Give pupils a minute to work this out.