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Math unit8 number sequences
This document outlines an instructional unit on number sequences. The unit contains 5 presentations that cover: 1) simple number patterns, 2) recognizing patterns, 3) geometric patterns, 4) linear sequences, and 5) general laws. Each presentation provides examples and problems for students to work through related to the particular type of number sequence. The goal is for students to learn how to identify patterns in sequences and determine rules or formulas to describe the relationships.
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Math unit8 number sequences
- 1. Unit 8 Number Sequences Presentation1 Simple Number Patterns Presentation 2 Recognising Patterns Presentation 3 Geometric Patterns Presentation 4 Linear Sequence Presentation 5 General Laws
- 2. Unit 8 Number Sequences SimpleNumber Patterns
- 3. What are thenext three terms?
- 4. Unit 8 Number Sequences Youhave finished viewing: Simple Number Patterns Return to front slide Presentation 1 Simple Number Patterns Presentation 2 Recognising Patterns Presentation 3 Geometric Patterns Presentation 4 Linear Sequence Presentation 5 General Laws
- 5.
- 6. For some sequences,you need to find the pattern in the difference. For example, First difference Second difference
- 7. Unit 8 Number Sequences Youhave finished viewing: Recognising Patterns Return to front slide Presentation 1 Simple Number Patterns Presentation 2 Recognising Patterns Presentation 3 Geometric Patterns Presentation 4 Linear Sequence Presentation 5 General Laws
- 8.
- 9. Count the numberof patio stones for the flower beds below and generalise your results. n = 1 n = 2 n = 3 Number of patio stones = 10 Number = 17 Number = 24
- 10. n = 4 n= 5 n = Number of patio stones = 31 Number of patio stones = 38 28Number of patio stones = 199 Count the number of patio stones for the flower beds below and generalise your results.
- 11. We can summariseour results in a table From this we can identify a general rule n 1 2 3 4 5 28 Patio Stones 10 17 24 31 38 199 Patio stones = 3 + 7nPatio stones = 3 + 7n
- 12. Unit 8 Number Sequences Youhave finished viewing: Geometric Patterns Return to front slide Presentation 1 Simple Number Patterns Presentation 2 Recognising Patterns Presentation 3 Geometric Patterns Presentation 4 Linear Sequence Presentation 5 General Laws
- 13. Unit 8 Number Sequences LinearSequence
- 14. The 7th ,8th and 9th termsof a sequence are 61, 69 and 77. Find the formula to describe this sequence. Hence find the 100th term. Find the differences So the sequence is of the form ?? ?? ??
- 15. Find the differences So Wefind b by using ?? ?? ?? ??
- 16. Unit 8 Number Sequences Youhave finished viewing: Linear Sequence Return to front slide Presentation 1 Simple Number Patterns Presentation 2 Recognising Patterns Presentation 3 Geometric Patterns Presentation 4 Linear Sequence Presentation 5 General Laws
- 17.
- 18. Study the numberlines and calculate the boxed values. ?? ?? ?? ?? ?? ?? ?? ?? ?? ??
- 19. Unit 8 Number Sequences Youhave finished viewing: General Laws Return to front slide Presentation 1 Simple Number Patterns Presentation 2 Recognising Patterns Presentation 3 Geometric Patterns Presentation 4 Linear Sequence Presentation 5 General Laws