T4 week six

Mane: Reflection and rotation

Turei: Translation - focus on vectors

Wenerei: Using transformations

Paraire: Revision part one

Homework: 27.05 and 27.06 and STUDY

T4 week five

Monday: Interpreting statistical graphs - mixed graphs

Tuesday: Statistical Literacy - reading statistical reports

Thursday: Revision for exams

Friday: Sampling and making calls about a population

Homework: 29.01 and 29.02 plus study for exams.

T4 week four

Monday: Box and Whisker graphs (finding the 5 key data values)

Tuesday: Frequency tables - how to deal with grouped data

Thursday: Summary - box and whisker graphs and steam and leaf diagrams

Friday: Time Series graphs

Homework: 31.06, 31.07, 30.03

Old homework:

• All of chapters 12 and 13 (graphs)
  
• 22.01-22.05 (Pythagoras)
• 23.01,05,08,09,10,12,13&14 (trig 1)
• All of 24 (trig 2)
• All of 25 (trig 3)
• 30.01 and 30.02 (start of stats)
• 31.01, 31.02, 31.04 and 31.05 (more stats)
  

T4 week three

Monday: LABOUR DAY

Tuesday: Averages - mean, median and mode

Thursday: Spread - range and interquartile range

Friday: Stem & Leaf Graph

Homework: 31.01 & 31.02, 31.04 and 31.05

Old homework:

• All of chapters 12 and 13 (graphs)
  
• 22.01-22.05 (Pythagoras)
• 23.01,05,08,09,10,12,13&14 (trig 1)
• All of 24 (trig 2)
• All of 25 (trig 3)
• 30.01 and 30.02 (start of stats)
  

T4 week two

Monday: Practice test

Tuesday: TEST - Trigonometry

Thursday: Statistical graphs: Dot plots, pie graphs and bar graphs

Friday: Misleading graphs

Homework: 30.01 but not the pie graph question and 30.02 both parts

Old homework:

• All of chapters 12 and 13 (graphs)
  
• 22.01-22.05 (Pythagoras)
• 23.01,05,08,09,10,12,13&14 (trig 1)
• All of 24 (trig 2)
• All of 25 (trig 3)
  

T4 week one

Topic: Trigonometry

This week we covered the following learning objectives:

• Review finding a side using trigonometry
• Use inverse trig functions on your calculator
• Finding an unknown angle in a triangle
• Solve various word problems

Homework: Please try as much as you can of chapter 25. You must at least complete 25.01 and 25.02

T3 week ten - Paraire 24th Hepetema

Topic: Summary of finding sides

Learning objective: Use the right method to find any triangle side.

Homework: 24.03 and 24.04

Total homework for the holidays:

23.01, 23.05, 23.08, 23.09, 23.10, 23.12, 23.13 & 23.14

24.01 & 24.02, 24.03 & 24.04

Congratulations to Jess for best homework in term 3.

T3 week ten - Wenerei 22nd Hepetema

Topic: Using SOH CAH TOA to divide

Learning objective: Find sides of triangles when SOH CAH TOA requires you to divide.

Homework: 24.01 and 24.02

T3 week ten - Turei 21st Hepetema

Topic: Using SOH CAH TOA

Learning objective: Choose which out of SOH CAH and TOA is appropriate for the problem and use it to find the unknown side.

Homework (today and yesterday): 23.09-13.10 plus 23.12-23.14

Homework

22.04 & 22.05 plus 22.07 optional

23.01 & 23.05 & 23.08

T3 week eight - Paraire 10th Hepetema

Topic: Mixed Pythagoras problems

Learning objective: Use the appropriate method to find a hypotenuse or shorter side of a right angled triangle.

Homework: 22.04

Total due Monday: 13.11 and 22.01 -22.04 plus optional extension 13.12 and 22.07

Older homework: 13.01-13.10 and 12.01 - 12.02

T3 week eight - Taite 9th Hepetema

Topic: Finding the shorter side

Learning objective: Use Pythagoras's formula with subtraction to find one of the shorter sides of a right angled triangle.

Homework: 22.03

T3 week eight - Turei 7th Hepetema

Trigonometry

Topic: Introducing Pythagoras

Learning objectives: Identify the hypotenuse of a triangle and write out the formula of Pythagoras

Homework: 22.01 and 22.02

Homework

Homework Due: 13.11 and 22.01-22.04

Older homework is: 13.01-13.10 plus 12.01 and 12.02

T3 week eight - Mane 6th Hepetema

Topic: Parabolas

Learning objective: Use a table of co-ordinates to plot a basic parabolic shape.

Homework: 13.11 (and 13.12 optional for extension)

T3 week seven - Paraire 3rd Hepetema

Topic: Applications of lines

Learning objective: Use linear graphs in word problems.

Homework: 13.10

Due Monday this week: 13.06-13.10

Last weeks homework: 13.01-13.05

T3 week seven - Taite 2nd Hepetema

Topic: Summary of linear graphs

Learning objective: Recognise different forms of linear graphs and draw them.

Homework: None for today unless you did not complete 13.09 last week.

T3 week seven - Turei 31st Akuhata

Topic: y = mx + c

Learning objective: Relate m and c to the gradient and y intercept of a graph.

Homework: 13.08

T3 week seven - Mane 30th Akuhata

Topic: Intercepts

Learning objective: Find intercepts for a graph.

Homework: 13.07

T3 week six - Paraire 27th Akuhata

Topic: Using a gradient

Learning objective: Draw a graph with a specified gradient.

Homework: 13.04-13.06

Total homework due on Monday: 13.01-13.06 + 13.09

T3 week six - Taite 26th Akuhata

Topic: Gradients

Learning Objective: Caluclate a gradient using the rise/run formula. Connect gradient with the steepness of a graph.

Homework: 13.04

T3 week six - Turei 24 Akuhata

Topic: Plotting points

Learning objective: Draw a graph by finding the x and y co-ordinates and plotting each point.

Homework: 13.02

T3 week six - Mane 23rd Akuhata

Topic: Co-ordinates

Learning objective: Show location using co-ordinates on the number plane

Homework: 13.01 and 13.09

T3 week five - Paraire 20th Akuhata

Topic: TEST

Homework: None for today, just make sure you are caught up with all homework due in by Monday.

This weeks homework: 12.01 and 12.02

Last weeks homework: 11.10-11.12 and 11.15-11.16

Last last weeks homework (in case you are really far behind): 11.04-11.06 and 11.08-11.09

T3 week five - Taite19th Akuhata

Topic: Revision for test

Today we went over what would be covered in the test.

Homework: Study for tomorrows test.

T3 week five - Turei 17th Akuhata

Topic: Distance-time graphs

Learning objective: Recognise features of distance-time graphs.

Homework: 12.02

T3 week five - Mane 16th Akuhata

Topic: 2D graphs

Learning objective: Interpret scatter plots and line graphs in context.

Homework: 12.01

T3 week four - Paraire 13th Akuhata

Topic: Solving harder quadratics

Learning objective: Solve quadratics by equating to zero and factorising.

Homework: 11.16

So all the homework due Monday is 11.10-11.12 and 11.15-11.16. That's less than one page!

T3 week four - Taite 12th Akuhata

Topic: Solving quadratics

Learning objective: Solve factorised quadratics by making each bracket equal zero.

Homework: ex 11.15

T3 week four - Turei 10th Akuhata

Topic: Factorising summary

Learning objective: Relate the terms factors and factorising. Use varying factorising methods in appropriate situations.

Homework: 10.11-12

T3 week four - Mane 9th Akuhata

Topic: Difference of 2 squares

Learning objective: Recognise and factorise problems of the difference of 2 squares form.

Homework: 11.10

T3 week three - Paraire 6th Akuhata

Topic: More factorising

Learning objective: Recognise the type of factorising required by different situations. Work with negative numbers when factorising.

Homework: 11.09

T3 week three - Taite 5th Akuhata

Topic: Factorising

Learning objective: Factorise quadratics by the add to and times to method.

Homework: 11.08

T3 week three - Turei 3rd Akuhata

Topic: Further expanding

Learning objective: Expand for special cases: perfect square and difference of two squares

Homework: 11.05 & 11.06

T3 week three - Mane 2nd Akuhata

Topic: Expanding two brackets

Learning objectives: Expand quadratiocs using the 'claw' method.

Homework: 11.04

T3 week two - Paraire 30th Hurae

Topic: Further revision of algebra

We had an assembly and then did a few questions.

Homework: None for today. Homework due Monday is 10.11 & 10.12 & 11.01 - 11.03

T3 week two - Taite 29th Hurae

Topic: Revision of algebraic skills

Learning objective: Use appropriate algebraic skills to solve problems.

Homework: 11.01-11.03

T3 week two - Turei 27th Hurae

Topic: Algebraic word problems

Learning objective: Use your algebraic knowledge to solve word problems.

Homework: 10.12

T3 week two - Mane 26th Hurae

Topic: Solving equations 5

Learning Objective: Solve equations involving fractions by cross-multiplying.

Homework: 10.11

T3 week one - Paraire 23rd Hurae

Topic: Solving equations 4

Learning Objective: Solve equations by expanding brackets first. Set out logical algebraic working.

Homework: 10.07

Homework due Monday is 10.01-10.07

T3 week one - Taite 22nd Hurae

Topic: Solving equations 3

Learning objective: Solve equations by moving terms to the correct side.

Homework: 10.06

T3 week one - Turei 20th Hurae

Topic: Solving 2-step equations

Learning objective: Solve equations requiring two steps including word problems.

Homework: 10.05

Test results for the measurement test were:

• 3 not achieves
• 5 close to achieves
• 10 achieves
• 6 merits
• 1 excellence - congratulations Mitchell
  

T3 week one - Mane 19th Hurae

Topic: Solving equations one

Learning objective: Use the process of undoing to solve simple equations.

Homework: 10.01-10.04

Week Eleven - Taite 1st Hurae

Topic: Practical Measurement

Learning objectives: Measure accurately to calculate area and perimeter

Homework: none - but make sure you bring in 17.03-17.05 by tomorrow

Test is tomorrow - this covers chapters 14-17

Week Eleven - Turei 29th Hune

Topic: Capacity

Learning objective: Be familiar with the relationship between capacity volume and weight in the metric system e.g 1cm^3 holds 1ml of water and weighs 1g.

Homework: None tonight - optional - finish off chapter 17

Reminder: TEST on FRIDAY also bring rulers on Thursday

Congratulations to Angelynna, Thomas and Taylor D who won prizes in this mornings assembly :)

Week Eleven - Mane 28th Hune

Topic: Cylinders

Learning objective: Be able to calculate the volume and surface area of a cylinder using a given formula.

Homework: 17.05

Reminder: TEST on FRIDAY

Week Ten - Paraire 25th Hune

Topic: Prisms

Learning objective: Recognise prisms and find their volumes.

Key terms:

• A prism has the same face on either end - e.g a Toblerone is a triangular prism.
• A cross section is the shape made when a shape is sliced through the middle.

Homework: 17.03 and 17.04

Test will now be on Friday

Week Ten - Taite 24th Hune

Topic: Volume

Learning objective: Find the volume of cuboids in order to solve problems.

Homework: 17.01 & 17.02

Rest due on Friday: 14.06, 15.05, 15.06, 16.01, 16.02, 17.01 & 17.02

Week Ten - Turei 22nd Hune

Topic: Circles

Learning objective: Find the area and circumference of given circles.

Homework: 16.01 & 16.02

Week Ten - Mane 21st Hune

Topic: Composite areas

Learning objective: Divide shapes into pieces in order to find their area.

Homework: 14.06

This weeks homework so far: 14.06, 15.05 & 15.06

Week Nine - Paraire 18th Hune

Topic: Applications of area

Learning objective: Use techniques such as drawing a diagram to solve area word problems.

Homework: 15.05 & 15.06

Week Nine - Taite 17th Hune

Topic: Area - triangles, parallelograms and trapeziums.

Learning objective: Use formulas to find the area of different shapes including triangles, parallelograms, trapeziums and combination of these.

Homework: 15.03 & 15.04

Total due in this week: 15.01-15.04, 14.03 & 14.04 & 14.07

Week Nine - Turei 15th Hune

Topic: Rectangles

Learning objective: Know the relationship between the width and length of a rectangle and its area and perimeter.

Homework: 15.01 & 15.02

Rest of this weeks homework: 14.03 &14.04 & 14.07

Last weeks homework: 14.01 & 14.02 & 14.05 & 6.12 & 6.13

Last last weeks homework: 8.04 & 9.06 & 9.07

Week Nine - Mane 14th Hune

Topic: Reading tables and scales

Learning objective: Read information in different forms such as tables and scales

Homework: 14.07

Last week's homework: 6.12 & 6.13, 14.01 & 14.02, 14.03, 14.04, 14.05

Reminders: Bring your clearfiles if you haven't already.

Week Eight - Paraire 11th Hune

Topic: Units of mass and capacity

• Mass is the scientific word for weight - measured in grams.
• Capacity is how much something can hold - measured in litres.
• In the metric system we use 1000 every time we convert - except for when using cm.
  

Learning objective: Be familiar with the units mg, g, kg and t (tonne) for mass, and the units mL, L and kL for capacity. Recognise when you need to multiply or divide by 1000 to convert, and convert accurately between these measurements.

Homework: ex 14.03 & 14.04

Week Eight - Taite 10th Hune

Topic: Units of length

Learning Objective: Be familiar with the units - km, m, cm and mm and know how to convert between these.

Homework: 14.02

Reminders: Bring you clearfiles and rulers.

Week Eight - Turei 8th Hune

Topic: Estimation

Used to: give an idea of how big something is

Example: I have $100 to spend on CDs and each one costs $23.99. Approximately how many CDs can I buy?

Homework: 6.12 and 6.13

Reminder: Bring your clearfiles on Thursday

Week Seven - Paraire 4th Mei

Topic: Time especially 24 hour time.

Example problem: What time is it 3 and a half hours after 2045?

Homework: 14.05

Last weeks homework: 9.06, 9.07 and 8.04

Week Seven - Mane 31st Mei

Today we continued preparation for your test on Thursday. I will be providing a revision session on Wednesday at interval for those of you who need extra help.

In order to prepare for the test you should:

• Read through all your notes in your exercise book - try to summarise this into one page of notes!
• Choose a few questions from each exercise (chapters 7, 8 and 9 in your homework book) and try them out to make sure you remember how to do them.
• Mark the work in your homework book and go back and do extra work on any topics where you got most questions wrong.

Good luck! Remember to also bring your clear-files in on Thursday.

Week Six - Paraire 28th Mei

Today we revised in preparation for our test which will now be on Thursday. Please make sure to bring your homework book on Monday.

Homework that was due on Friday: 9.06, 9.06 and all of 8.04

Week Six - Turei 25th Mei

Today we looked at finding the formula for a linear pattern. Linear patterns add the same number each time (this could be negative). All have a formula like dn + k where:

• d is the number we add each time (the difference)
• k would be the number if we went backwards in our pattern

Examples:

• 3, 5, 7, 9 (adds 2 each time so d is 2 and if we went backwards in the pattern we would get 9, 7, 5, 3, 1 so k is 1) ---> so the pattern rule is 2n + 1
• 2, 6, 10, 14 (adds 4 each time so d is 4 and if we went backwards in the pattern it would go 10, 6, 2, -2 so k is -2) ---> so the pattern rule is 4n - 2
• 99, 96, 93 (subtracts 3 each time so d is -3 and k is 102) ---> the rule is -3n + 102

Homework: 8.04

Week Six - Mane 24th Mei

Today we looked at patterns. We saw three ways to represent these:

• Using diagrams - these often show where patterns come from.
  
• Using a list of numbers such as 4, 7, 10, 13 ... Since we are adding 3 we know the next number should be 16
  
• Using a formula such as 3n + 1. A formula is the best of these as it can show us what comes next and what comes much much later.

For example we can use the formula to find the first 4 terms:

• When n=1 then 3n+1 = 3+1 = 4
• When n=2 then 3n+1 = 6+1 = 7
• When n=3 then 3n+1 = 9+1 = 10. These are the same numbers as the pattern above
• However with a formula we can also find when n=100 then 3n+1 = 300+1 = 301 which is the 100th number in the pattern.

Homework: 9.07

On Friday we will have the test. There will be a revision session at morning tea before it.

Week Five - Paraire 21st Mei

Today was our final day exploring factorising. We looked at factorising with a letter (or more than one letter) as our factor. Because we always choose the highest common factor we much choose the most letters possible. Examples:

• ab + ac = a(b + c)
• 2p + pq = p(2 + q)
• x^2 + 3x = x(x + 3) since x^2 is the same as x times x
• x^5 + 3x^4 = x^4 (x + 3) since x^4 is the highest power that is part of both terms

Homework: 9.06

Week Five - Taite 20th Mei

Today we looked at factorising by finding the highest common factor (HCF).

The HCF is a number that is the highest factor of both numbers. Example:

• factors of 4 are {1,2,4} since 4 = 1 x 4 and 2 x 2
• factors of 12 are {1,2,3,4,6,12} since 12 = 1 x 12 and 2 x 6 and 3 x 4
• So the HCF of 4 and 12 must be 4

To factorise we put the highest common factor first, and then find the missing parts.
e.g factorising 4x + 12 gives
4(x + 3) since 4 times x gives 4x and 4 times 3 gives 12.

For extra help with HCFs see homework exercise 1.02

Homework: 9.05 so 9.01 - 9.05 is due tomorrow.

Week Five - Turei 18th Mei

Today we looked at factorising. This is the opposite of expanding so it means putting an expression into brackets.

• The first step is to find a common factor - something that is the same for both parts of the expression. e.g for 2a + 2b it is 2
• We write this first then put a set of brackets. e.g. 2 ( )
• We fill in the space so that it makes the original expression e.g. to make 2a we need an a and to make 2b we need a b so in the brackets we have a + b
• The final answer is 2(a + b). We can check this is the same by expanding our brackets.

Homework: 9.04

Week Five - Mane 17th Mei

Today we looked at combining the skills of expanding and simplifying into one problem. In order to do this we take the following steps.

1. Re-write the equation using a multiplication symbol right before the brackets. e.g 7(p + 2) - 4p = 7 x (p + 2) - 4p
2. Find the part that needs expanding. Shown in bold here: 7 x (p + 2) - 4p
3. Expand as usual, while leaving the rest the same: 7p + 14 - 4p
4. Simplify using like terms: 3p + 14

Homework: 9.03

Remember your lines if you need them.

Week Four - Paraire 14th Mei

Today we finished off and marked our mini-test. Everything in this test had been covered at school so if you got any questions wrong you need to revise more :)

Then we looked at expanding equations. Examples:

• 2(x + y) = 2x + 2y
• 3(x - 4) = 3x - 12
• p(2q - 8) = 2pq - 8p
• 2x(5x - 9) = 10x^2 -18x

Homework: 9.01 & 9.02

Week Four - Taite 13th Mei

Today we revised what we have studied in algebra so far and completed a mini-test.

Homework: 1.09

Week Four - Turei 11th Mei

Today we extended our power rules from Monday, to allow for terms which have coefficients (numbers out the front).

• When we multiply we add powers, and we multiply the numbers out the front.

e.g 4a^2 x 3a^5 = 12a^7

• When we divide we subtract powers, and we simplify the numbers like a fraction on a calculator
  

e.g. 12a^7/4a^4 = 3a^3

• When there are brackets we multiply each power with the one outside, and we calculate the number to the power of the outside power.

e.g. (3a^3 b)^2 = 9a^6 b^2

Homework: 8.07

Week Four - Mane 10th Mei

Today we looked at four important rules for working with powers in algebra. These are:

1. When we multiply we add powers e.g a^2 x a^5 = a^7
2. When we divide we subtract powers e.g. a^7/a^4 = a^3
3. When there are brackets we multiply each power with the one outside e.g. (a^3 b)^2 = a^6 b^2
4. Anything to the power of zero is one e.g. x^0 = 1 and (24x^79 y^33)^0 = 1

Homework: 8.06

Week Three - Paraire 7th Mei

Today we looked at simplifying products of algebraic terms. A product is a series of letters and number multiplied together. There are three steps in order to simplify these:

1. Multiply all the numbers e.g. 3a x 4 = 12a
2. Follow this with the letters in alphabetical order e.g. 6b x 2a x c = 12abc
3. For more than one of the same letter use a power e.g. b x b x b x b = b^4

These can all be combined e.g. 3q x p x 4q = 12pq^2

Homework: 8.01 & 8.05
Other homework from last week: 1.10, 7.05, 8.02 & 8.03

Week Three - Taite 6th Mei

Today we looked at simplifying algebraic expressions by adding and subtracting like terms. To do this we looked at the parts of an algebraic term: the coefficient, the unknown/variable and the power/exponent. For example in the term 3x^2:

• 3 is the coefficient (the number out the front)
• x is the unknown or variable
• 2 is the power or exponent

Like terms have the same power and exponent. Examples of like terms are 3x & 5x, 2ab & 2ba, and 3x^2 and -x^2. Examples of terms that are not like terms are 3p & 3q, 2x & 5 and 4x^2 and 7x.

To add and subtract we group like terms and remember that the sign belongs to the term following it

• e.g. 2x + 3x + 4y - y = 5x + 3y
• e.g. 3a + 2 - 7a + 12 = -4a + 14

Homework: 8.02 & 8.03
Also due Friday: 1.10 & 7.05

Week Three - Turei 4th Mei

Today we were interrupted by a fire alarm so we continued with our work using formulae.

Homework: 1.10

Week Three - Mane 3rd Mei

Today we looked at using algebraic formulas. These are useful in science, maths, economics, and many other subjects.

In a formula each letter represents some information. It is important to know what each bit means. For example in A = 1/2 b x h, A represents the are of a triangle, b represents the base length of the triangle, and h represents the height in the triangle.

We follow certain steps when we use formulas. Question - what was the velocity of a car if it traveled 300km in 4 hours?

1. Write out the formula e.g. v=d/t
2. Work out what each letter means - v = velocity, d = distance, t = time
3. Substitute into the formula d = 300, t =4 so v =300/4
4. Calculate and give units if needed v = 75km/h

Homework: 7.05

Week Two - Taite 29th April

Today we looked at substituting numbers into algebraic expressions. When we calculate these numbers we need to follow some rules:

• B - brackets first (inside each bracket use the BEDMAS again)
• E - exponents next (this includes powers and roots)
• DM - division and multiplication go together, if there are both go left to right
• AS - adding and subtracting go together, if there are both go left to right
• Always put brackets around the top and bottom of a fraction
• Always put brackets around a negative number if it has an exponent.
  

e.g. if a = 3, b= 4 and c = -1 then

a) a + b = 3 + 4 = 7
b) 6c = 6 x -1 = -6
c) 2(b+c) = 2 x (4 + -1) = 2 x 3 = 6
d) c^2 = (-1)^2 = 1

Homework: 7.04

Week Two - Turei 27th April

Today we looked at changing words into algebraic expressions, which basically means writing words as algebra.

To do this we need to be aware of different ways of saying plus, minus, times and divide.

e.g. plus, add, more, sum, extra, additional, increase

e.g. minus, subtract, difference, less, decrease, reduce

e.g. times, multiply, "of" (like groups of or lots of), double/twice (only for x2)

e.g. divide, split, share, halve (only for division by 2)

We then need to work out what the words would mean in terms of the symbols and numbers.

e.g. I have $p in my bank. What would I have if I:

• spent $12 ---> this would give p - 12 as the money has left the account
• banked $50 ---> this would give p + 50 as I have more money in the account
• doubled my money ---> would give 2p which means two times p
• spent $q ---> p - q

Homework: 7.01 & 7.02

Remember your lines for tomorrow!

Week Two - Mane 26th April

Today we began looking at algebra. In algebra we use letters to represent numbers we don't know (unknowns) or numbers that can change (variables). We have rules about how we write things in algebra:

• We don't write x, instead we put letters right adjacent to numbers e.g. 2y
• Numbers always come first then letters in alphabetical order e.g. 3pqr
• instead of a divide sign we use a fraction e.g. 8/x

Homework: 6.8-6.10 (since I forgot to tell you about this on Friday)

Week One - Paraire 24th April

Today we looked at using standard form to represent small numbers. This is the same as for large numbers except we use negative powers to show the decimal point moves in the opposite direction.

Homework: 6.8 - 6.10

Next week we begin algebra.

Week One - Thursday 22nd April

Today we looked at representing numbers in standard form. This is a special way of writing a number that is useful for very big or very small numbers. There are 3 steps:

1. Move the decimal point in the number to straight after the first digit. e.g 3002 becomes 3.002, 74.8 becomes 7.48, and 5.89 stays as 5.89
2. Count the number of places the decimal point has moved, in the examples above this is 3 (remember a decimal point is always at the end of a whole number), then 1 and then 0.
3. The number in standard form is then the new number multiplied by 10 to the power of the number of places moved.

e.g. 3002 = 3.002 x 10^3
74.8 = 7.48 x 10^1
5.89 = 5.89 x 10^0

Homework: 6.04 and 6.05

Week One - Tuesday 20th April

Welcome to the class Shannon.

Today we looked at rounding using decimal places (dp) or significant figures (sf). The rules for both are the same:

1. Count how many sf or dp you want to keep.
2. Circle the next number.
3. If this number is 0,1,2,3 or 4 then drop the circled number and everything to the right. (Stay the same). If this number is 5,6,7,8 or 9 then round the number before up by one, and then drop. (Round up)
4. For sf you may need to add zeros because the rounded number should be close to the original number.

Homework: 6.02 and 6.03

Term Two - Week One - Monday 19th April

WELCOME BACK!

Today we found out what significant figures are. These are:

• any digit (before or after decimal point) from 1-9
• any zeros between numbers from 1-9
• any zeros that are BOTH at the end of the number AND after the decimal point, and the zeros leading up to this one

e.g. 30.8 has 3sf since the zero is between numbers.

e.g. 10000 has 1sf since the zeros are not between or after a decimal point. BUT sometimes when we say 10000 we mean exactly 10000, not about 10000. If that is the case all the numbers are significant, so it has 5sf.

e.g. 0.0038 has 2sf since the zeros are not between or at the end of the number.

e.g. 0.020700 has 5sf. the first two zeros are not counted. The next one is because it is between, and the last two are because they are at the end and after the decimal point.

Homework: ex 6.01

Week Nine - Thursday 1st April

Today we had our test for number. Results will be out early next term. Next term we will begin with algebra!!!

Congratulations to Tevin and Hayley C who won the prize for best homework this term. Well done!

Homework for the holidays:

• check you are up to date with homework. You should have finished chapters 3, 4, 5 and 33.


• use the CD to mark all of your homework.


• HAVE A GREAT TIME!

Week Nine - Tuesday 30th March

Today we continued to prepare for our test. We worked on our practice tests, and also looked back at some previous homework.

There is no homework for tonight - but you should be studying chapters 3, 4 and 5 for the test on Thursday.

If you are interested in the website I showed you today it is www.mymaths.co.uk.
Login: hutt Password: triangle
The general login gives access to online lessons, and tutorials. If you wish to have personalised homework (completely optional but very useful!) then ask me for a personal login.

Week Nine - Monday 29th March

Today we began our revision for our test on Thursday. I handed out a worksheet that covered decimals, fractions, ratios and percentages - which is what you will be assessed on.

Remember to bring this sheet and your homework books (if you haven't already handed them in) tomorrow.

Study hard!

Week Eight - Friday 26th March

Today we learned about using ratios to split up amounts fairly. Note that fairly does not always mean in half!

e.g Split $150 in the ratio 3:7.
3+7=10. This will be the denominator (bottom number) for my fractions.
3/10 x 150 = $45. 7/10 x 150 = $105
Double check: $45 = $105 = $150

Homework: ex 6.03
Remember to bring your homework books on Monday as we will be using them to study for the test.

Reminder: ask your parents about interview times and grab one from me.

Week Eight - Thursday 25th March

I will not be here on Thursday as I am on a course. We will cover rates.

Homework: 5.04

Total homework due on Friday: 4.09-4.11 & 5.01 & 5.04

You MUST bring your homework book and remember to get it signed please.

Week Eight - Tuesday 23rd March

Today we introduced ratios. Ratios are a way of showing how one amount compares to another. e.g if red paint: white paint is 1:8 that means we have 1 bucket of red paint for 8 buckets of white paint, or 1 cup of red paint for 8 cups of white paint. This is not the same as 8:1. 1:8 would make a very light pink (lots of white), 8:1 would make a very dark pink (lots of red).

Ratios can be simplified just like fractions. e.g 4:10 becomes 2:5 by dividing both parts by 2.

Ratios should be in the same units. e.g 3m:70cm = 300cm:70cm = 30:7 after dividing by 10.

Homework: 5.01

Week Eight - Monday 22nd March

Today we studied GST (goods and services tax), this is a tax on almost everything that is bought and sold. Currently the GST rate is 12.5% in New Zealand. We calculate GST in the same way as normal percentages.

e.g: to find the GST on a TV costing $3200 before GST, we calculate 0.125 x 3200 = $400

e.g: to find the price including GST on a TV costing $3200 before GST, we calculate 1.125 x 3200 = $3600. (note this is the same as adding the $400 GST on to the original $3200).

e.g: to find the price without GST of a swimming pool if the GST inclusive price is $13500, we calculate 13500 / 1.125 = $12000

Homework: 4.09
You should now have completed all of chapter 4.

Remember to get the sheet in your homework book signed.

Week Seven - Friday 19th March

Today we studied two things: simple interest and finding the original amount.

Simple interest is calculated using the formula I = PxRxT/100.
Where I is the interest, P is the principal (the amount you invest), R is the rate of interest and T is the time the money is invested for measured in years.

Finding the original amount is the opposite of what we have studied so far. To find 20% of 70 we did 0.2 x 70 = 14. The opposite of times is divide. So if 20% of something is 14 we find that something by calculating 14/0.2 = 70.

Homework: 4.10 and 4.11

Some people still need to show me last weeks homework (4.07 and 4.08) or the week before (3.13-4.06). Get this is quick please!

Welcome

Hello and welcome to the maths blog for 10GB. This will help you keep track of homework and tests, and to catch up if you miss a lesson.

Feel free to comment here (appropriately).

Miss Skinner :)