2 Write down the next three terms in each of the following patterns: 2.1 64; 49; 36; 25; …


2.3 −2; −4; −8; −16; … 2.5 10; 12; 17; 25; …


2.7 x; 2x; 3x; …


2.2 2.4


2.6 2.8


49; 7; 1; 1 1


__ 2 ; 2


__ 3 ; 3


__ 4 ; 4


__ 7 ; …


__ 5 ; …


21; 23; 29; 227; … x; x2; x3; …


2.9 xy; x2y3; x3y5; … 2.10 13p − q; 12p − 2q; 11p − 3q; … 3 You are decorating your sister’s birthday cake. You have a pile of white chocolate buttons and another pile of dark chocolate buttons. You start with a square of four white chocolate buttons in the middle of the cake and build a square of dark chocolate buttons around the first square, and continue the pattern as shown below:


3.1 Draw the next three patterns in the geometric pattern above. 3.2 Copy and complete the table below:


Stage


Number of chocolate buttons added Total number of chocolate buttons


1 4 4


2


12 16


3.3 Describe the number pattern in the first row of the table. 3.4 Describe the number pattern in the second row of the table. 3.5 Describe the number pattern in the third row of the table. 4 Create four patterns of your own − two number patterns and two geometric patterns, by writing down (or drawing) at least the first three terms of each pattern. Swap your book with a partner and ask him or her to write down (or draw) the next three terms in each pattern.


4 cm 3 cm 6 cm 3 4 5 6


122 Chapter 4: Patterns, functions and relationships


Page 1  |  Page 2  |  Page 3  |  Page 4  |  Page 5  |  Page 6  |  Page 7  |  Page 8  |  Page 9  |  Page 10  |  Page 11  |  Page 12  |  Page 13  |  Page 14  |  Page 15  |  Page 16  |  Page 17  |  Page 18  |  Page 19  |  Page 20  |  Page 21  |  Page 22  |  Page 23  |  Page 24  |  Page 25  |  Page 26  |  Page 27  |  Page 28  |  Page 29  |  Page 30  |  Page 31  |  Page 32  |  Page 33  |  Page 34  |  Page 35  |  Page 36  |  Page 37  |  Page 38  |  Page 39  |  Page 40  |  Page 41  |  Page 42  |  Page 43