Yr+12+201+This+week's+plan

WEEK 12 (14 - 17 APRIL):
We have three periods of Maths this week. We need to complete one task in this topic, from start to finish, so that it can be marked over the holidays and so that good feedback can be given. Your summative assessment for this topic is in the first week of term two on the Tuesday and Wednesday.

WEEK 11 (7 - 11 APRIL):
On **Monday** we'll briefly look at the effect that the number in the sample has on the estimation of the population median then we'll look more at estimating the population median. Hwk book p 28 - 30 then p 40 - 45

On **Tuesday** (a shorter period because the school day is over for you at 1 pm) and **Wednesday** we will look at using the ICIs to compare two medians, from two subsets of the population eg comparing girls' heights with boys'. wk book p 46 - 52

On **Friday** we will return to comparing box and whisker graphs and describing what we see. There isn't much of this in the hwk book but it is important for discussion and analysi s.

WEEK 10 (31 MARCH - 4 APRIL):
This week we'll be concentrating on taking samples (starting off with the data on p 26, 27 of the hwk book), using calculators to find the statistics needed in order to draw box-and-whisker graphs, then drawing those graphs. p 25 is the place for the drawing of 5 box-and-whisker graphs which represent the 5 different samples taken from the data that follows it.

On **Wednesday** we'll look at some school absences data, draw dot plots then overlay them with the box and whisker graphs. We will also look at finding Informal Confidence Intervals for the Population Medians and draw this (as bars) on the box and whisker graphs. There are some notes that go with this: https://docs.google.com/a/roncalli.school.nz/document/d/1zvdshbrkvEw9pxc1qbnAzsIShQHW3W-ilJfoAl83jC0/edit

On **Friday** we'll welcome back the students who have been on the PE trip and look again at the ICI. The data for this is on the google document above. There is only a small amount of data so a sample of size 30 is silly but for our purposes it does the job. The aim is to take samples, find the two ICI and make an inference about the incomes, answering the question "Do males earn more than females in Townsville?"

WEEK 9 (24 - 28 MARCH):
We have started the Statistics topic (an Internal) and started by looking at one set of data, the weights of shellfish in a marine farm. We started taking a sample and looking at whereabouts in the marine farm that our chosen ropes were taken from, whether they were spread out or possibly in an area which seemed to be more, or less, loaded with shellfish.

**Monday:** we'll finish looking at our shellfish samples, working out the Lower and Upper Quartiles, median, and drawing our box and whisker graphs, comparing them to see how different they might be in the different samples. Then we'll look at working out LQ etc with our calculators and working on a few problems. Hwk book: p 7

**Tuesday:** Standard deviation. We'll look at what this means and how to calculate standard deviations on the calculators. Hwk book: p 11

**Wednesday:** We will start looking at the Statistical Enquiry Cycle Hwk book: p 13 - 15

**Friday:** We will look at The Plan p 16) Sampling (again!!) p 17, Bias p 18 - 20, Random Sampling p 21 - 23

WEEK 8 (17 - 21 MARCH):
This week we're finishing off the Algebra topic, including a test (Tuesday) and starting work on the next topic, Stats, which is an Internal Achievement Standard.


 * Monday:** Revision for test Tuesday on Algebra


 * Tuesday: //Test//** on Algebra 2.6 See the topic page for some Revision questions.


 * Wednesday:** Start Stats with an overview of what the topic and an assessment might look like. We'll then begin by learning to take samples. There is a separate homework book for this topic because it isn't an external topic.


 * Friday:** Go through the Algebra test. Work more on sampling and calculating statistics from the samples collected.

This week we'll be tidying up this topic and doing a formative assessment for it. The plan is to do the test on Friday (last period). Complete all your homework book pages and I suggest you cover up past answers with paper and re-do some as revision. I will give you a couple of practice papers to do over the week but remember that the hwk book has a good practice assessment also on p 59 - 64

WEEK 6 (2 - 6 MARCH):
**Monday:** Solve Linear Inequations and start Solving Quadratic Equations Hwk: p 41 - 43

**Tuesday**: Solving Quadratic Equations by factorising (review factorising quads including the unusual ones with coefficient of x 2 that is not 1  Hwk: p 45 - 48

**Wednesday:** Solving Quadratic Equations by using the Quadratic Formula

**Friday:** Looking more at the quadratic formula and solving problems involving it. Hwk: p 53 - 55

WEEK 5 (24 - 28 FEB):
We have to finish off log work at the beginning of the week. We started off learning how to solve exponential equations like 2^x = 78 and moved from there to learning a little bit about what a log meant so now we have to finish off with the NOAH rule, the POWER DOWN rule and the SWITCH rule, simplify log statements and solve some more equations. Keep an eye on the 2.6 Algebra page for more information. Hwk book p 22 -25

Tuesday (fingers crossed!!): we'll work on simplifying rational expressions by factorising then cancelling. Hwk book p 29 - 31

Wednesday: doing fractions with Algebra (+, -, x, /) Hwk book p 33 - 35

Friday: start solving linear equations and then inequations (next week) Hwk book p 37 - 40

Summary of the hwk book pages for this week: 22 - 40

WEEK 4 (17 - 21 FEB):
This week probably only has three periods of Maths because of the Athletics on Friday.

The plan for this week is (and we might have to be flexible with it):


 * Monday: Changing the subject **

This means __unwrapping equations__, one layer at a time, in order to isolate a particular letter (variable). This is familiar from last year?

eg c is the subject of the equation b + d.x^2 = c. Make d the subject.

// Ask yourself what is happening to d.... It has been multiplied by x^2 then added to b so you unwrap in the opposite direction doing the opposite operation ie subtract b then divide by x^2. //

// -b: d.x^2 = c - b // // divide by x^2: d = (c - b)/x^2 // // Done!! d is now the subject. //

Hwk: p 16 - 19


 * Tuesday: Starting work on logs **

This will be very new and exciting for you. We'll start by solving equations like 2^x = 8 (easy eh? x = 3 because 2^3 = 8) 2^x = 67 which needs logs in order to solve it. I'll show you a way of solving this by "taking logs". It works every time. After that we can work out what logs really are all about by learning about the __switch rule__. More later on this.

Hwk: p 22


 * Wednesday: Rules of logs **

If we're on track, by Wednesday's period we'll already know about the "__power down__" rule and the "__switch rule__" so the only one left to work with is the "__Noah rule__". I suggest you don't google these rules because they're my names for these things! Haha!!

Hwk: p 24 - 27

**WEEK 3 (10 - 14 FEB):**

Hi all. We've only had a few periods of Maths so far. We've started Algebra which is a 4 credit external. We will move through this topic fairlie (oops!) fast so you'll need to keep up. Remember to check all your work as you go because we learn from mistakes and you don't want to make a mistake over and over - so check your answer early!!

So far we've: Expanded up to three pairs of brackets (hwk book p 3 and 4) Factorised one and two pairs of brackets (p 9 and 10)

We've looked at ones called "the difference of two squares" eg 9x^2 - 16 = (3x + 4)(3x - 4). The method for tactorising this kind is always the same, same stuff in the brackets but different signs.

We've looked at perfect squares eg 9x^2 -12x + 4 is a perfect square because it factorises to (3x - 2)(3x - 2) = (3x - 2)^2

Ones that start off with a negative sign are easiest dealt with by taking the negative out the front first eg -x^2 + 3x + 4 = -(x^2 - 3x - 4) = -(x - 4)(x + 1)

Ones that have a coefficient of x^2 that isn't 1 eg 3x^2 + 10x - 8 can be done in steps: Multiply first and last numbers: 3 x -8 = -24 Find factors of -24 that combine to give the middle number: +10 = 12 and -2 Re-write the expression: 3x^2 + 12x - 2x - 8 Factorise: 3x(x + 4) - 2(x + 4) = (3x - 2)(x + 4)

Practise practise practise... Make sure you keep up.

This week we'll be mostly working with exponents, multiplying, dividing, using fractional powers and negative ones.

I'll put more notes up here soon but by the end of this week your hwk **pages 11- 14** should be complete.