1.12 Number patterns (module test)

Mathematics

Number patterns

Educator section

Memorandum

TEST 1

1.

a) 0; -50

b) 1 and a quarter; 1 and a half

c) 22’ 30

d) 38; 26

2.

a) number row

b) kwadraatgetalle

c) sequence

d) terms

3.

a) horizontal

b) vertical

4.

a) 13; 21

b) Fibonacci

5.

a) 2 926

b) 8

6. 10; 15

7. 7; 17; 23

Leaner section

Content

Activity: number patterns (module test) [lo 2.1, lo 2.3, lo 2.4]

8. problem

Work with a friend. Find the solution to the following problem by making use of number patterns

A farmer started farming with two rabbits in January. Once each pair of rabbits is two months old, they produce a new pair of rabbits monthly.

How many pairs of rabbits will the farmer have by the end of December of the same year?

(Suggestion: draw a diagram)

1. Complete the following number patterns:

a) 150 ; 100 ; 50 ; _______________________ ; _________________

b) a half ; three quarters ; one ; ________________ ; _________________

c) 4 ; 9 ; 15 ; ________________ ; _________________

d) 80 ; 65 ; 51 ; ________________ ; _________________ (8)

2. Fill in the missing words:

a) A set of numbers which is acquired by following a particular rule is called a

_____________________________________________________________

b) Square numbers are also called ____________________________________

c) Number patterns are also called____________________________________

d) The numbers in a number sequence are also called ___________________(4)

3. Underline the correct word within brackets:

a) a sequence is (horizontal; vertical; diagonal)

b) a column is (horizontal; vertical; diagonal) (1)

4. a) Complete the following pattern:

8 ; _______________ ; ______________ ; 34 ; 55 ; 89 (2)

b) This number sequence is known as the _______________________ sequence. (1)

5. Use Gauss’ method to determine the sum of the natural numbers from 1 to 76.

_____________________________________________________________

_____________________________________________________________

___________________________________________________________(3)

6. What is the sum of the numbers in the fourth row of Pascal's triangle?

______________________________________________________(1)

7. Complete the following triangular number pattern:

1; 3; 6; ________________________ ; _______________________ (2)

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;

Assessment Standard 2.4: We know this when the learner constructs mathematical models that represent, describe and provide solutions to problem situations, showing responsibility toward the environment and the health of others (including problems within human rights, social, economic, cultural and environmental contexts).