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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 (Triangular numbers)

Module by: Siyavula Uploaders. E-mail the author

MATHEMATICS

Number Patterns

EDUCATOR SECTION

Memorandum

7.

a) 1; 3; 6; 10

Figure 1
Figure 1 (graphics1.jpg)

b).

c) Sketch 5: 15

Sketch 6: 21

10 x (10 +1) ÷ 2

= 55

25 x (25 + 1) ÷ 2

= 325

Leaner Section

Content

ACTIVITY: Number Patterns (Triangular numbers) [LO 2.3]

7. Let us also investigate TRIANGULAR NUMBERS.

  • Look carefully at the following
Figure 2
Figure 2 (graphics2.jpg)

a) Now complete the following table:

Table 1
Sketch 1 2 3 4    
Number of triangles            

b) Draw sketches 5 and 6 and complete the table:

c. Take note?

We can use the following formula to determine the number of triangles in each sketch:

Figure 3
Figure 3 (graphics3.jpg)

E.g. Sketch 5 (S5) = 5 × (5 + 1) ÷ 2 = 15

(i) Use the formula and determine (use your pocket calculator if necessary)

_____________________________________________________________________

_____________________________________________________________________

  • the 10th triangular number __________________________________________
  • the 25th triangular number __________________________________________

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 2.3: 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.

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