Answer to Question #125984 in Algebra for Sphesihle Zuma

Question

1.draw the first three terms of a simple ascending geometrical pattern with a constant difference.
2.what is the pattern?
3.write down the rule of the pattern.
4.using the rule, extend the pattern to the fourth and the tenth term.
5.describe the pattern in a flow diagram (spider diagram).
6.describe pattern in a table.
7.describe your pattern in a table.
8.reflect on the ease of the activity.

Answer 1

1+3=4 second layer

4+3=7 third layer

B)Pattern :A repeating arrangement of colors, number, and shapes

Numeric pattern is a sequence of number, that follows a specific rule

Repeating number 1 2 3 1 2 3 1 2 3

Geometric patterns: A pattern that uses shapes or letters that follows a specific rule

C)Pattern rule: A numerical sequence of numbers that has been created based on a rule is called pattern rule.

Pattern rule can use one or more mathematical operations to describe the relationship between consecutive numbers in the sequence

4)Extended rule fourth to twelve numbers

3,6,9,12...

3,6,9,12,15,18,21,24,27

We calculate the next term from forth to twelfth term

3+3=6

6+3=9

9+3=12

12+3=15

15+3=18

18+3=21

21+3=24

24+3=27

This is ascending order it involves adding of 3

5)Flow diagram

In flow diagram the addition rule apply

Each term is added to constant number to create next term

In flow diagram

Input 3,6,9

Processing addition of 3 in each term in flow diagram 3+3=6

6+3=9

9+3=12

6)Table

In table form each input correspond to its output according pattern rule

7)the following activities can help understanding the number pattern

Link the number line to skip counting.

• When counting repeating patterns, represent the numbers on a number track.

The equal spacing on the number

track helps students to skip count (in this case, by threes).

Then move on to a number line (note the addition of zero at the beginning).

Gradually remove some of the labels, leaving numbers spaced by two, five or ten. In the following example, the numbers are spaced by two.