2.17 To investigate and extend patterns

Mathematics

Division

Educator section

Memorandum

2. Consists of consecutive numbers.

3.

15,3243243

18,3243243

21,3243243

Leaner section

Content

Activity: to investigate and extend patterns [lo 2.1.4]

There are many interesting patterns in mathematics – not only geometric patterns, but numerical patterns as well.

1. Look at the following interesting patterns while you have your calculator with you.

123 ÷ 37 = __________________________________

234 ÷ 37 = __________________________________

345 ÷ 37 = __________________________________

456 ÷ 37 = ________________________________

2. What do you notice as you study the dividends in 1?

_____________________________________________________________________

3. Predict now (without your calculator!):

a) 567 ÷ 37 = __________________________________

b) 678 ÷ 37 = __________________________________

c) 789 ÷ 37 = __________________________________

4. Now check your answers with the calculator.

BRAIN-TEASER!

Look at the following interesting figure:

Can you divide this figure into two pentagons (5-sided figures) and three rectangles, by only drawing two straight lines?

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:

2.1.4: of the learner’s own creation.