Factor trees
- 1. Factor Trees WHAT: TO BE ABLE TO FACTOR A RANGE OF NUMBERS AND EXPAND AND SIMPLIFY THE ANSWER. WHY: COVERING UNIT 3 B2 WHICH IS FACTORISING, ALSO FOR NOVEMBER MOCK EXAM.
- 2. What is a factor tree? A factor tree is a easy way of dividing and using factors.
- 3. What is a factor tree? COPY THE BELOW DIAGRAM IN YOUR BOOK. (DRAW IN PENCIL FILL IN WITH PEN) 5 110 22 You pick a number You then pick a prime number that can go into the number you chose. (FACTOR) For example, 5 goes into 110, 22 times. You put 22 on right and no in circle as it is not a prime number. Then you circle the prime number which is always to the left of that number. Watch the animation on the next page, it will explain how to do it.
- 4. What is a factor tree? 5 120 24 I picked 5, it goes into 120 (factor) and it is a prime number. I then wrote 24 on the right as it is not a prime number and it is how many 5`s go into 120. Always use and circle prime numbers on the left.
- 5. What is a factor tree? You then carry on until you get to 2 prime numbers. So you carry on dividing. 2 is circled because it is a prime number. 2 120 245 12
- 6. What is a factor tree? 2 120 245 12 62 CARRY ON DIVIDING
- 7. What is a factor tree? 2 120 245 12 62 2 3 Now you have divided, you have ended up with 2 prime numbers. 6 divided by 2 = 3 Both 2 and 3 are prime numbers so are in circles. Now you need to expand an simplify.
- 8. What is a factor tree? 2 120 245 12 62 2 3 To expand you write out the numbers in the circles. For this diagram you would do the following. 5x2x2x2x3 If you type 5x2x2x2x3 into a calculator you would get 120. To simplify all you do is take the expanded version. 5x2x2x2x3 and do the following 1 five = 5 3 two`s = 2 squared 1 three = 3 so simplified version is 5x2 squared x 3
- 9. What is a factor tree? So you have got the example in your book, on your whiteboards answer each of the follwoing numbers but draw the factor tree, the expanded and simplified version.
- 10. What is a factor tree? 165
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- 15. What is a factor tree? QUESTIONS: 1. 230 2. 450 3. 690 4. 700 5. 1678 6. 4805 7. 6086 8. 9045 9. 13075 10. 123456 EXTENTION/NEXT LESSON STARTER SWAP BOOKS WITH SOMEONE, PURPLE PEN, MARK THEIR WORK, IF ANY WRONG CHANGE IN PURPLE PEN. DO NEXT SLIDE BEFORE END OF LESSON
- 16. What is a factor tree? WRITE ONE FROM EACH BOX THAT BEST SUITS YOU. A = CAN DO FACTOR TREES WITH NO HELP AND CAN HELP OTHERS, ALSO I CAN EXPAND AND SIMPLIFY B = CAN DO FACTOR TREES WITH SOME MISTAKES, BUT MAINLY INDEPENDANT C = HAVE TROUBLE DOING FACTOR TREES BUT I CAN DO THE BASICS. 1 = I FEEL CONFIDENT 2 = I FEEL A MIXTURE OF CONFIDENCE AND HARDNESS 3 = I DO NOT FEEL CONFIDENT AT ALL. GIVE YOURSELF A WWW AND A EBI ALSO DO THE SAME IN SOMEONE ELSES BOOK.