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<ul><li>Lesson 1 Introduction & Algebraic Patterns </li></ul>Preliminary General Mathematics Topic 1 Algebra
Welcome <ul><ul><ul><li>Simon Borgert- HT Maths </li></ul></ul></ul><ul><ul><ul><li>[email_address] </li></ul></ul></ul><u...
Welcome <ul><li>Textbooks - need to borrow from library if they have a barcode - I will check! </li></ul><ul><li>Look insi...
Technology stuff... <ul><ul><ul><li>Moodle - you must use! Join the General Mathematics course ( password mathsrules) </li...
phones, ipods etc <ul><ul><ul><li>You can use them whenever you want but...... </li></ul></ul></ul><ul><ul><ul><li>Good ma...
Pre Test <ul><li>Complete - 20 minutes </li></ul><ul><li>Show any working you need on the paper </li></ul><ul><li>If you d...
FLOWERBEDS Here are four flowerbeds surrounded by slabs How many slabs would you need for 100 flowerbeds?
STRATEGY <ul><li>Break the problem into smaller pieces </li></ul><ul><li>Tabulate results </li></ul><ul><li>Look for patte...
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...
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?
<ul><li>Worksheet 5.1from textbook </li></ul><ul><li>Join the Moodle Course </li></ul><ul><li>Join the Facebook Group </li...
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Topic 1 algebra lesson 1

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The first lesson for General Mathematics.

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  • Talk about what Moodle and Facebook groups will be used for No friends on Facebook!
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  • Transcript of "Topic 1 algebra lesson 1"

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