Skip to content Skip to navigation

Connexions

You are here: Home » Content » Number Patterns

Navigation

Lenses

What is a lens?

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.

This content is ...

In these lenses

  • Siyavula's Lens

    This module is included inLens: Siyavula's Lens
    By: Kosala Sipahli

    Click the "Siyavula's Lens" link to see all content selected in this lens.

Recently Viewed

This feature requires Javascript to be enabled.
 

Number Patterns

Module by: Kosala Sipahli. E-mail the author

Summary: Generating Number Patterns

NUMBER PATTERNS

TASK 1

Each piece of clothing is hung from two pegs and two adjacent pieces of clothing share one peg.

COPY AND COMPLETE THE TABLE BELOW

Table 1
Number of items of clothing (c) 1 2 3 4 5 11 50  
Number of pegs (p) 2 3           70

Exercise 1

1.2 Describe, in your own words, the relationship between the number of clothes hanging (c) and the number of pegs(p) used.

TASK 2

Consider the following pattern if pattern 1 contains 6 matchsticks.

6; 10; 14; ….

Exercise 2

If the above number pattern continues, find pattern 4 and pattern 5.

Exercise 3

Complete the following:

Exercise 4

Pattern 1: 6

Exercise 5

Pattern 2: ____ : 6 + _____ : 6 + ____ X ____

Exercise 6

Pattern 3: ____ : 6 + _____ + _____ : 6 + ____ X ____

Exercise 7

Pattern 4: ____ : 6 + _____ + _____ + _____ : 6 + ____ X ____

Exercise 8

Pattern 5: ____ : 6 + _____ + _____ + _____ + _____ : 6 + ____ X ____

Exercise 9

Pattern n: : 6 + ____ X ____

Exercise 10

Describe, in your words, the relationship between the pattern number and the

Exercise 11

number of matchsticks.

TASK 3

Figure 1
Figure 1 (graphics1.png)

The pattern of beads represent numbers called triangular numbers

Exercise 12

3.1 How many beads are there in the 4th pattern?

Exercise 13

3.2 Complete: 1; 3; 6; ___; ___; ___; ___

Content actions

Download module as:

PDF | EPUB (?)

What is an EPUB file?

EPUB is an electronic book format that can be read on a variety of mobile devices.

Downloading to a reading device

For detailed instructions on how to download this content's EPUB to your specific device, click the "(?)" link.

| More downloads ...

Add module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

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.

| External bookmarks