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Mathematics

Number patterns

Educator section

Memorandum

Leaner section

Content

Activity: number patterns (terms) [lo 2.1, lo 2.3.1, lo 2.3.2]

9. did you know?

The numbers in a number sequence are also known as TERMS .

10. problem

Make your own number sequence!

With a friend, work through the following example:

  • Draw a flow chart with two operator blocks:
  • Fill the answers in on the right.

N- values

Your number sequence is 7 ; 12 ; 17 ; 22 ; 27

Your rule will be:

T n = (5 × n ) + 2

Term which

one = 5 n + 2

Thus: T 2 = (5 × 2) + 2 = 12

T 12 = (5 × 12) + 2 = 62

  • If you are certain that you understand the above, compile your own number sequence.

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  • Also compile three questions of your own and ask a friend to answer them.

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Do you understand the preceding work?

  • Complete the following by placing a tick in the appropriate block:
uncertain reason­ably certain very certain
  • I can see various patterns in numbers
  • I am able to predict what the subsequent pattern will be
  • I can explain the Fibonacci series and complete the next sequence
  • I am able to draw the Fibonacci spiral
  • I can explain the Pascal triangle to a friend
  • I can determine triangular numbers by means of a formula
  • I can determine the sum of numbers by using the Gauss method
  • I am able to compile my own number sequences

Assessment

Learning Outcome 2: The learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.

Assessment Standard 2.1: We know this when the learner investigates and extends numeric and geometric patterns looking for a relationship or rules, including patterns.

Assessment Standard 2.3: We know this when the learner represents and uses relationships between variables in order to determine input and/or output values in a variety of ways using;

2.3.1: verbal descriptions;

2.3.2: flow diagrams.

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Source:  OpenStax, Mathematics grade 7. OpenStax CNX. Sep 16, 2009 Download for free at http://cnx.org/content/col11075/1.1
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