Year 10 Mathematics Course Planner Term 4 - 2017 ... 10 Mathematics Course Planner Term 4 - 2017 –...

SNR Term 4 Course Planners.docx 5/09/2017

Year 10 Mathematics Course Planner

Term 4 - 2017 – Probability, Finance,

and Congruence

Trinity Bay SHS

Hoare Street

PO Box 5071

Phone: 40375222

www.trinitybayshs.eq.edu.au

Teachers:

10B - Mr Milne 10C –Mr Vikionkorpi 10D – Mr Marshal 10F – Mrs Baker 10G – Mr East 10H – Mr Harish

Notes: Timings are approximate, and will vary from class to class.

A level topics are indicated by. All students should attempt all questions as part marks for A level questions will count towards the

overall grade on assessment.

Students will need to bring a scientific calculator to every lesson and the exam.

Week

Unit 6: Interest, Similarity and Congruence (ACMNA229, ACMMG243, ACMMG244)

Curriculum intent Assessment

× 3 Feedback

× 3

1

Venn diagrams and probability MfQ Ex13E Q1-6

Use tree diagrams and two way tables to represent compound events, and calculate

probabilities p410 Ex 12C selection

Use tree diagrams to represent theoretical experiments and list sample space.

Be able to state whether two events are independent or dependent, and use the rule P(A and B) =

P(A) x P(B) for independent events p415 Ex 12D

Calculate theoretical probability from tree diagrams

Queen’s Birthday Day Holiday Monday

2

Simple and Compound interest

Find the interest and total to be repaid in a simple interest situation.

Recognise the link between repeated applications of simple interest formula and compound

interest formula. Worked Example 7 p 549 Ex 16D p552 Q3 & 4

Recognise that compound interest means that the interest is added each term, and in the

second term, you earn interest on the principal as well as on the interest already paid.

Rearrange the I=Prt to find P and t

Use I= Prt with terms less than 12 months

MQ 10 Ex 16A

Questions in classwork / homework

Checking answers with textbook and / or teacher

3

Use the compound interest formula with annual terms to calculate the amount you end up with

at the end.

Use the compound interest formula with quarterly/monthly terms to calculate Interest

MQ 10 Ex 16D

Pupil Free day Monday

Quick Quiz / Warmup

Quick Quiz Results

4

Straight line Depreciation

Diminishing Depreciation

MQ 10 Ex 16E

5

Congruence and Similarity

Know that congruent shapes are exactly the same size and the same shape, i.e. the same

number of sides, the same side lengths and the same angles.

Know that similar shapes have the same number of sides and the same angles, but one may be

larger than the other.

MQ 10 EX 10A

MQ 10 EX 10B

Questions in

classwork /

homework

Checking

answers with

textbook and

/ or teacher

6

Know the four tests for congruent triangles, i.e. SSS, SAS, ASA, RHS, and be able to use the tests

to identify congruent triangles.

Quick Quiz

Quick Quiz

results


MQ 10 EX 10C

7

Probability Review

Revision

Revision of Venn Diagrams and Two Way Tables and complementary events

Theoretical Probability

Simple and compound Interest

Congruence and Similarity

Probability

Revision

8 Exam and Feedback

Exam – Interest,

Similarity,

Congruence and

Probability

On Exam and

Achievement

Ladder

Notes:

*MQuest is the textbook called Maths Quest 10+ 10A for the Australian Curriculum.

* MFQ3 is the textbook Maths for Queensland 3.


Year 10A Mathematics Course Planner

Unit 4 – Solving Quadratic Equations,

Sketching Graphs from Equations and

Polynomials

Trinity Bay SHS

Hoare Street

PO Box 5071

Phone: 40375222


Teachers: 10A – Ms Bramley 10E – Ms Delaney Note: Timings are approximate, and will vary from class to class.

Wk Differentiated content

(ACMNA241, ACMNA269, ACMNA267, ACMNA266)

Assessment

× 3

Feedback

× 3

Fro

m T

erm

3 W

eeks 8

, 9 a

nd 1

0 Solving Quadratic Equations

Solve quadratic equations by factorising. p253 Ex 8A Q 1-8

Solve quadratic equations by completing the square. p253 Ex 8A Q 9 – 10

Rearrange a quadratic equation into standard form, ax2 + bx + c = 0 Class examples

Solve quadratic equations using the quadratic formula x =−b±√b2−4ac

2a p257 Ex 8B Q 1-8

Define your variable, translate a word story or diagram into a quadratic equation, solve the equation, check whether the answers are possible in the context of the question and write a sentence to phrase your answer in terms of the original question. p 258 Ex 8B Q 9 – 12, p 254 Ex 8A Q 12 – 24, Worksheet (Word problems involving Quadratics)

1 Using the Discriminant

Know that the discriminant of a quadratic equation is 𝑏2 − 4𝑎𝑐 , and that the value of the discriminant determines the number of solutions to the quadratic equation p 267 Ex 8D Q 1-9

Use the value of the discriminant to solve problems involving quadratic equations p267 Ex8D Q 10-14

Public holiday Monday

Class

questions

Coursework

planner

2 Sketching Quadratic Functions

Sketch the graph of a quadratic function in turning point form 𝑦 = 𝑎(𝑥 − ℎ)2 + 𝑘 by finding the coordinates of the turning point, whether the graph has a maximum or minimum, the 𝑥

and 𝑦 intercepts and whether the graph is narrower or wider than 𝑦 = 𝑥2 p296 Ex 9C Q 1-10

Sketch a quadratic function of the form 𝑦 = 𝑎𝑥2 + 𝑏𝑥 + 𝑐 by finding the x-intercepts (roots),

the y-intercept and both coordinates of the turning point (xTP =−b

2a). p 302 Ex 9D Q 4 – 6

Solve real world problems using the features of a quadratic function p302 Ex 9D Q 11-14 Solving Simultaneous Equations

Solve a pair of simultaneous equations where one is linear and the other is a quadratic. P 272 Ex 8E Q 1 – 10

Interschool swimming carnival Friday

Style of

required

working

shown in

teacher

examples

Ongoing

feedback

from

checking

answers

with the

textbook

3 Polynomial Expressions

Know the meanings of the terms polynomial, degree, variable and coefficient p 638 Ex 19A

Be able to add, subtract and multiply polynomials p 640 Ex 19B

Use the principles of long division to divide one polynomial by another p 646 Ex 19C Monday Student Free Day

4 Use function notation to represent substitution into a polynomial p 648 Ex 19D Q 1

Know the factor theorem: If 𝑃(𝑎) = 0 then (𝑥 − 𝑎) is a factor of 𝑃(𝑥) Know the remainder theorem: If 𝑃(𝑎) = 𝑅, then 𝑅 is the remainder when 𝑃(𝑥) is divided by

(𝑥 − 𝑎) p 650 Ex19E Q1,2,3

Use the factor theorem, long division and quadratic factorisation to factorise a cubic or quartic p 654 Ex 19F

Solve a cubic equation by first factorising p 657 Ex 19G Night of Innovation Wednesday Sports Awards ceremony period 3 Friday

5 Know the basic shape of the exponential functions 𝑦 = 𝑎𝑥 and 𝑦 = 𝑎−𝑥 Plot the graph of a simple exponential function using a table of values p 309 Ex 9E Q 1-4 Know that 𝑥2 + 𝑦2 = 𝑟2 is the general formula for a circle of radius r and centre (0, 0) Know that (𝑥 − ℎ)2 + (𝑦 − 𝑘)2 = 𝑟2 is the general formula for a circle of radius r and centre

(h, k)

6 Be able to sketch the graph of a circle, given its equation p 317 Ex 9G Q 1, 2, 4 – 6 Be able to complete the square in an equation of a circle and then sketch the graph p317

Ex 9G Q 3 Presentation Night Tuesday Collage Drama Thursday

7 Revision Whitfield Dance Day Wednesday Year 10s and 11s farewell 12s Thursday

8 Understanding and Fluency Exam Monday period 2

Problem Solving and Reasoning Exam Tuesday period 1

Exam On exam


Revision: p 276 Chapter 8 Review Fluency Q 1-14, PS Q 1 – 6 (7 – 9), Fluency Q 15

p 322 Chapter 9 Review Fluency Q 1, 2, 5, 8, 9, PS Q 2 – 4, Fluency Q 11 – 15, 20, 21

p 661 Chapter 19 Review Fluency Q 1-9, 11-13


Class Course Planner – 2017 Semester 2: Term 4

Trinity Bay SHS

Hoare Street

PO Box 5071

Ph. 40 375 222

www.trinity bayshs.eq.edu.au Class: Year 11 Maths A

Teacher/s: Mr Harish, Mr Marshall, Mr Nagle, Mrs Baker, Mr Regan, Mr East

Term

Wee

k

Curriculum Intent Assessment x 3 Feedback x 3

Text Reference

T4

Wk1

*Monday-Public Holiday*

Linking two and three

dimensions

- The roof

- Cladding the roof

Pretest: Building Maths Course Planner

Ex 7G P. 276

Ex 7H p. 282

Learn, if you have forgotten,

your trigonometry rules.

T4

Wk2

Linking two and three

dimensions 2

-Brickwork

- Finishing the walls, painting

only. (Do not do wallpapering)

Ex 7I P. 285

Ex 8A P. 301

Skip wall papering

Chapter review Page 293

Questions 11-18 and

Page 325 Q1

T4

Wk3

*Monday-Student Free Day*

Managing money 2a

-Simple interest

- Term deposits

-Savings accounts

Photocopy booklet

Ex 1(f) p. 24

Ex 1(g) p. 26

T4

Wk4

Managing money 2a

- Compound interest

(don’t do Nominal and effective

yields)

*Wednesday-Night of

Innovation*

Ex 1(h) p. 30

Skip nominal and effective

yields

Revision exercises

p. 40 Q. 9, 16

T4

Wk5

Managing money 2a

-Inflation

-Depreciation

Ex 1(a) p.6

Ex 1(e) p.19

Revision exercises

p. 40 Q. 11, 12

T4

Wk6

Managing money 2a

-Present value of a ordinary

annuity

Revision

Revision sheet

Formative test

Revision sheet

answers

Formative test

results

Ex 1(l) p. 38

T4

Wk7 Revision and Exams

Wed 15/11/17 Exam

block if needed.

KAP AND MAP

Exams

Note: Exam will be in exam

block. Please check your

assessment calendar for exact

day.

T4

Wk8

*Mon-Thurs is Yr 11

Assessment Schedule*

KAP AND MAP

Exams

Exam Feedback

Ladder Position

You will need clean neat lined

paper for your exam. Rule it up

ready with your name on each

page.

NOTE: Timelines are approximate only.


Class Course Planner – 2017

Semester 2: Term 4

Trinity Bay SHS Hoare Street

PO Box 5071

Ph. 40 375 222

www.trinity bayshs.eq.edu.au Class: Year 11 Maths B Teachers: Ms Delaney, Mr Plume Text References refer to the New Q Maths 11B with the green cover.

W Curriculum Intent Assessme

nt x 3

Feedbac

k x 3

Text

Referenc

e

1 Exponentials and Logs

Know the definition of a logarithm: If 𝑎𝑥 = 𝑁, then 𝑥 = log𝑎 𝑁 (read log to the base a

of N)

Be able to use the definition of a logarithm to solve simple exponential equations

Know that the log laws are derived from the index laws

Know the log laws listed on page 350 of your textbook

Know that if no base is specified, then it’s base 10

Know that ln x means the natural logarithm of x, i.e. log𝑒 𝑥

Be able to use log laws to simplify expressions Monday public holiday

Course

Planner

End T3

Ladder

10.2 Q1 10.3 Q1,2

2 Be able to use log laws and the definition of a log to solve equations involving indices, including linear type and quadratic type equations

Science Week

10.4 Q10

3 Know that radioactive decay, bacterial growth, compound interest and uncontrolled

population growth are examples of exponential functions and can be modelled using 𝑁 =𝑁0𝑒

𝑘𝑡

Be able to use an exponential function to model these situations and answer word questions

Monday: Pupil Free Day Thursday: Year 11 Legal Studies guest speaker

10.5

W’shee

t

4 Probability

Know that a probability is a number between 0 (impossible) and 1 (definite) inclusive which represents the chance of something happening

Know that a probability can be estimated using relative frequencies

Be able to use tree diagrams and tables to list the sample space (list of all possible outcomes) of a probability experiment

Know what is meant by the terms mutually exclusive, complement, dependent, independent

Know that a binomial experiment has a series of trials which are independent and where each trial has two outcomes, called success and failure

Know that the probability of x successes in n trials is given by nCx 𝑝𝑥𝑞𝑛−𝑥 , where p = the probability of success in one trial and q = the probability of failure in one trial

Be able to use binomial tables on pages 409- 412 to calculate the probability of, say, more than 12 successes out of 20 trials

Wednesday: Night of Innovation Friday: Sports Awards Ceremony

Probabilit

y Quiz

11.1 Q1,2,7-12 11.2 11.3

5 Integration

Know that the opposite of differentiating is called integrating or finding the primitive or antidifferentiating

Know that the integral of a function gives the area under the curve

Know that ∫ 𝑎𝑥𝑛𝑑𝑥 =𝑎𝑥𝑛+1

𝑛+1+ 𝐶

Be able to integrate polynomial functions

Know that an indefinite integral will always have a constant of integration (+ C), and the answer to an indefinite integral question will be algebraic

Know that a definite integral has numerical boundaries, and the answer to a definite integral question will be a number

Know the Fundamental Theorem of Calculus: ∫ 𝑓(𝑥) = 𝐹(𝑏) − 𝐹(𝑎)𝑏

𝑎

Differentia

tion

Revision

12.1 12.3 Worksheet

definite

integrals

6 Know that the integral of acceleration is speed (or velocity), and the integral of speed / velocity is distance / displacement

Be able to use integrals to find the area under a curve Be able to use integration to find solutions to word questions

Tuesday: Presentation Night

Work

sheets

7 Revision Thursday: Year 10s and 11s farewell Year 12s on assembly

Term 4

Exam

8 Exams/Feedback/Finalisation of Achievement Monday to Thursday: Assessment Schedule

End Yr

11

Results

Relevant Review Exercises: p 397 Chap 10 Q 12 – 17, 23 – 33, 36 – 41; p 402 Chap 11 all; p 405 Chap 12 Q 1 - 9, 1 3- 17, 24 – 30


Mathematics Department

Course Planner – 2017

Semester 2 – Term 4


PO Box 5071

Phone: 40 375 222


Class: 11 Maths C

Teacher: Mr Plume

Term Week

Curriculum Intent Assessment ×

3 Feedback × 3

T3 Wk10

Real and Complex Numbers

Complex numbers in mod-arg form

Converting standard form to mod-arg form

Converting mod-arg form to standard form

Feed up: Assignment task sheet & criteria sheet.

T4 Wk1

Real and Complex Numbers

Multiplication in mod-arg form

Division in mod-arg form

Addition & subtraction in mod-arg form

For learning: Diagnostic test.

Feed up: Course Planner.

T4 Wk2

Dynamics

Displacement vectors in terms of time

Magnitude & direction of vectors

Velocity vectors in terms of time

T4 Wk3

Dynamics

Acceleration vectors in terms of time

Application of displacement, velocity & acceleration

As learning: Formative task.

T4 Wk4

Vectors & Applications

Forces as vectors

Resultant forces

Forces in equilibrium

Feedback: Formative task.

T4 Wk5

Vectors & Applications

Sum of forces at a point

Forces on inclined planes

Applications of forces as vectors

Feedback: Bookwork check.

T4 Wk6 KAPs revision

MAPs revision

As learning: KAPS revision sheet. MAPS revision sheet.

T4 Wk7 KAPs exam

MAPs exam

Of learning: KAPS exam. MAPS exam.

T4 Wk8 Exam review

R3 results

Feedback: Exam review. Achievement Ladder. Data profiles. Feed forward: Student conference.


Class Course Planner – 2017f



PO Box 5071

Ph. 40 375 222

www.trinity bayshs.eq.edu.au Class: 11 Prevocational Maths

Teacher/s: Mr Marshal, Mr Harish, Mr Milne, Ms De Courcey, Mr Handa

Term

Week Curriculum Intent

Assessment

x 3

Feedback x

3

T4 Wk1 Statistics –Chapter 7 – Chapter 7

Stem & leaf plots

Mean, mode, median, range. o 7.1, 7.2

Pre Test Course Planner

T4 Wk2 Percentages. 7.3

Frequency distribution tables. 7.4

T4 Wk3 (MONDAY: Student Free Day) Histograms 7.6

Sector graph

Column graph

Scatter graph

T4 Wk4 Extra work sheets which are on Q drive and catch up lessons Check your progress page 214

Progress check - Assessment

feedback

T4 Wk5 Seeing Queensland – Chapter 8 Compasses 8.1

Mud maps 8.2

T4 Wk6 Touring maps 8.3, 8.4

Check Progress chapter 8

T4 Wk7 EXAM Exam feedback

Assessment Task

Exam

T4 Wk8 Year 12 work Exam feedback &

Achievement

Ladder


Class Course Planner – 2017 Term 4

Semester 2


PO Box 5071

Ph. 40 375 222

www.trinity bayshs.eq.edu.au Class: Year 12 Mathematics A

Teachers: Mr Bramley, Mr Regan, Mr Vikionkorpi, Mr Milne, Mr Faithfull

Term


Assessment

x 3

Feedback

x 3

Text Reference

Maths Quest Year 12

Maths A

T4

Wk1

Monday Public Holiday

EXPLORING AND UNDERSTANDING DATA -Contingency tables

Diagnostic test / pre-test

Course

Planner

Ex 4D p.202

Revision work Quick questions 2 p. 224

T4

Wk2 EXPLORING AND UNDERSTANDING DATA -Statistics and probability applications Note: use the average point when drawing line of best fit.

Ex 4E p. 214

Revision work Chapter review p. 226 Questions 13

onwards

T4

Wk3

Monday Student Free Day

EXPLORING AND UNDERSTANDING DATA Investigations (only if time permits)

Formative test Formative

test/feedback p. 217 – 224

Teachers may

decide to leave this

as revision after

Queuing has been

completed.

T4

Wk4 QUEUES -One service point - Multiple service points

Night of Innovation Wednesday

Ex 8C p. 401 Ex 8D p. 407

Revision work Chapter review p. 411 Questions 9

onwards

T4

Wk5 REVISION

T4

Wk6 EXAMS

Presentation Night Tuesday 7th November

End of term exam

Students need to be

organised with

exams. Have paper,

pens, ruler and your

calculator.

T4

Wk7 FEEDBACK

Year 10,11,12 Parade on Thursday Friday Year 12 Graduation

Exam Feedback Achievement

Ladder

NOTE: Timelines are approximate only.



Semester 2: Term 4


PO Box 5071

Ph. 40 375 222

www.trinitybayshs.eq.edu.au Class: Year 12 Maths B Teachers: Mr East, Mrs Howarth

Term

Wee

k

Curriculum Intent Assessme

nt x 3

Feedbac

k x 3

Text

Referenc

e

T4

Wk1 Public holiday Monday

Applied Statistical Analysis

Review basic probability situations. Be able to calculate the probability of, for example, drawing a red queen from a deck of cards, rolling an even number on a die, rolling a colour on a given spinner

Know what is meant by independent events

Know that, for independent events A and B, P(A and B) = P(A) x P(B)

Know that P(A or B) = P(A) + P(B) - P(A and B)

Know that the complement of event A is written A, and that P(A) = 1 – P(A)

Know that the expected frequency of event A in n trials = P(A) x n

Informal quiz

about prior

knowledge

Course

Planner

Ex 5.1

T4

Wk2 Know that a probability distribution function shows the distribution

of the probabilities of outcomes, for example for throwing 3 coins, the probability of getting 0, 1, 2 and 3 heads

Know that in any probability distribution, the total of all probabilities is one.

Be able to construct a probability distribution for a simple situation

Be able to calculate the expected return from a lottery or other gambling situation

Be able to use the expected return concept to judge whether or not a game is “fair”

On class

exercises

Ex 5.2

T4

Wk3 Pupil Free Day Monday

Know that a binomial situation has n trials, each of whom has only two possible outcomes, success and failure, the probabilities of which are represented by p and q respectively

Be able to use the rule P(x successes out of n trials) = nCx px qn-x to find probabilities in binomial situations

Be able to use binomial tables to find relevant probabilities

Be able to use binomial tables) to find the number of successes for a given probability

Know and be able to use the formulae = np and npq to

find the mean (expected value) and standard deviation of the number of outcomes in a binomial situation

Understand what is meant by a normal distribution, and the kinds of things that are normally distributed

Know that the normal distribution relates to continuous variables

Know that a normal distribution is described using a mean, , and

a standard deviation, Night of Innovation Wednesday

Ex 12.1

Ex 5.3

Q1,

10 - 16

Ex 5.5

T4

Wk4 Understand what is meant by a normal distribution, and the kinds

of things that are normally distributed

Know that the normal distribution relates to continuous variables

Know that a normal distribution is described using a mean, , and

a standard deviation,

Know that the standard normal distribution has a mean of zero and a standard deviation of 1.

Be able to convert a score from any normal distribution to a z

score, using the rule

xz

Be able to use the standard normal distribution table to find a given probability

Class quiz On quiz

Ex 5.5

W’sheet

s


Be able to use the standard normal distribution table to find the score which will produce a given probability

Sports Awards Friday T4

Wk5 Recognise when a variable is discrete, and when it is continuous

Recognise that when you are using a continuous distribution (e.g. the normal distribution) as an approximation for a discrete distribution, you must adjust the values to allow for this

Be able to use the normal distribution as an approximation to the binomial distribution, where np and nq are both greater than 5

Ex 5.5

T4

Wk6 Revision

Exam this week Presentation Night Tuesday

Exam On

exam

T4

Wk7 Feedback on exams Check exit levels of achievement, work out

SAIs Graduation Friday

Relevant Review Exercises: page 230 Chapter 5 Review Q 13 – 17, 19, 21 – 28, 30 - 32


Mathematics Department

Course Planner – 2017



PO Box 5071

Phone: 40 375 222


Class: 12 Maths C

Teacher: Mr Plume

Week Curriculum Intent Assessment ×

3 Feedback × 3

1

Vectors and Applications

Products of Vectors

Review of Scalar (Dot) Product, including 3D Vector Applications

The Vector Product

For learning: Diagnostic task.

Feed up: Course Planner.

2

Vectors and Applications

Applications of the Vector Product

The Scalar Triple Product

Applications

As learning: Formative task.

3

Advanced trigonometric functions

Circular & reciprocal functions

Exact values

Addition identities

Feedback: Formative task.

4

Polar Conics

Circles in polar form

Parabolas in polar form

Ellipses & hyperbolas in polar form

Feedback: Bookwork check.

5

Revision

Revise vectors

Revise trigonometric functions

Revise polar conics

As learning: Kaps revision sheet. Maps revision sheet.

6

Exam week

Kaps exam

Maps exam

Of learning: Kaps exam. Maps exam.

7

Review

Review exam results

Student conference

GOOD BYE YEAR 12s!!!!!!!!!

Feedback: Exam review. Achievement Ladder. Data profiles. Feed forward: Student conference.





PO Box 5071

Ph. 40 375 222

www.trinity bayshs.eq.edu.au Class: Year 12 PVM

Teacher/s: Baker, de Courcey, McAlister, Regan, Vikionkorpi

Term


Assessment

x 3

Feedback x

3

T4 Wk1 ORGANISING AN EVENT

Pricing Tickets – 8.1 Page 170 Questions 1 – 7

Catering costs - 8.2 Page 171 Questions 1 – 4

The charity ball - 8.5 Page 176 Questions 1 – 11

Term starts Tuesday 3rd October

(Assessment for

learning)

Pre test

(Feed up)

Course Planner

T4 Wk2 STARTING A BUSINESS

Starting up – 9.1 Page 191 Questions 1 – 5

Obtaining Finance – 9.2 Page 193 Questions 1 – 4

Break even analysis – 9.3 Page 195 Questions 1 – 4

Friday 13th Rec Boating Excursion (Group A)

T4 Wk3 Goods and Services Tax (GST) – 9.5 Page 201 Q 1 – 7

Labour Costs – 9.6 Page 202 Questions 1 - 8

Managing Labour Costs – 9.7 Page 204 Questions 1 – 4

Monday 16th Staff P.D. Day

Friday 20th Rec Boating Excursion (Group A)

(Assessment as

learning)

Check your

progress

(Feedback)

Feedback on

progress

T4 Wk4 Calculations – 9.8 Page 205 Questions 1 -6

REVISION

Check you progress – Page 207 All Questions

Thursday 26th Rec Boating (Group B)

T4 Wk5 Revision Continued

EXAM (last one ever)

Thursday 2nd Rec Boating (Group B)

T4 Wk6 Feedback Catch-up on Exams.

T4 Wk7 Senior Students will not be in classes.

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