Kakariki+2011

We are learning to...
 * continue a pattern;
 * find the recurrence rule of a pattern;
 * look at relations between two patterns;
 * identify a general rule.

Take a look at these factories. How many purple squares would you need for the fourth factory? What about the... How many red squares do we need for the first factory? What about the second and third factory?
 * 27th?
 * 309th?
 * 7,956th?
 * Factory number || 1 || 2 || 3 || 4 || 5 ||
 * No of purple squares || 1 || 2 || 3 || 4 || 5 ||
 * No of red squares || 6 || 10 || 14 || 18 || 22 ||
 * No of all squares || 7 || 12 || 17 || 22 || 27 ||

Lets look at what the rule might be...

The number of factories = the number of purple squares. //That's easy but what about the rule for the red squares?//

The number of red squares = the number of factories x 4 + 2

How many red squares would factory number 20 have?

WALT: use multiplication and division to solve addition and subtraction problems.

To solve 27 + 45, Nelson did the following working: 27 + 45 = (3 x 9) + (5 x 9) = 8 x 9 = 72

Do the following problems using Nelson’s method. Record the working like Nelson has above. 1) 25 + 15 + 35 2) 42 + 48 – 18 3) 14 + 49 4) 40 – 28  5) 50 – 15 + 35 6) 72 – 48 7) 30 + 48 + 12 8) 49 – 35 + 21  9) 27 + 15 – 33 10) 36 – 12 + 18

We are learning to add and subtract integers (positive and negative numbers).

-3 - + 7= -5 - -8= +12 - -7=

+4 - -1= -6 - +3= <span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">+8 - -5=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">-3 - -1= <span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">-3 - -2=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">+3 + -1= <span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">+3 + -2=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">We are learning to do simple division by a whole number with tenths in the answer. <span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">5.2/4= 1.3 //<span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">=1 r 1.2 or 1 r 12 tenths // //<span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">=12 tenths / 4 = 3 tenths so... // //<span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">5.2/4=1.3 //

<span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">1.6/4= <span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">19.2/3= <span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">21.6/4= <span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">41.2/4= <span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">2.1/7=

<span style="font-family: 'Comic Sans MS',cursive; font-size: 160%;">We are learning to multiply a whole number by a decimal fraction.

3 x 1.4= 4.2 (42 tenths) 2 x 4.7 is the same as 2 times 47 tenths. 2 x 47/10 = 94/10= 9.4 2 x 4.7= 9.4

10 x 0.4= 4 3 x 4.5= 13.5 5 x 4.2= 21 9 x 8.1= 72.9