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  • GETSenPhaseMaths display tagshide tags

    This module is included inLens: Siyavula: Mathematics (Gr. 7-9)
    By: Siyavula

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Number Patterns (Terms)

Module by: Siyavula Uploaders. E-mail the author

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

Figure 1
Figure 1 (Spinnekop.jpg)

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

Your rule will be:

Tn = (5 × n) + 2

Term which

one = 5n + 2

Thus: T2 = (5 × 2) + 2 = 12

T12 = (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?

Table 1
 
  • 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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Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

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