Strand - mathsbooks.netmathsbooks.net/Activities for Graphics Calculator/9 - 10 A… · Web viewFind x/y intercepts, axis of symmetry, vertex, maximum/minimum values. Solve word

Year 9 and 10 Course – Level 1Strand Content Strategies Graphics Calculators ICT Opportunities

Basic introductions to the graphics calculator (TI, Casio, Sharp)

1. Using Graphics Calculators for Basic Operations

(CMA CD/website*)

2. Enhancing Learning with a Graphics Calculator (Casio) Barry Kissane

3. Essential TI-83 Graphics Calculator Companion andEssential Casio 9850/plus Graphics Calculator Companion David Main (Cambridge UP)

*www.canberramaths.org.au under Post-Primary Resources

Home pages

education.ti.com

www.casio.edu.shriro.com.au

sharp-world.com/products/calculator/education

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http://www.casio.edu.shriro.com.au/


Algebra Revision four operations

Expansion of grouping symbols binomial products collecting terms brackets preceded by a

negative

Factorising review common factors special cases (perfect

squares and difference of two squares)

grouping in pairs factorising trinomials,

including coefficients of x2 other than 1

Access to Algebra 4 Unit 1 Lowe (Curriculum Corporation)

Mathematics at Work Vol 1 Lowe

Enrichment Maths Anne Joshua

Work Samples – National Mathematics Profiles

Working Mathematically with Algebra Thelma Perso

Checking your working out,eg graphing (x+1)(x–1) and x2–1 together

Mathsyear2000.org

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Algebra Algebraic fractions

Four operations, including the use of factorising to simplify

Fraction mode

Algebra Change the subject of formulas

Substitution into formulas

Compound Interest(CMA CD/website)

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Algebra Linear equations

Include equations with grouping symbols pronumerals on both

sides fractions

Apply to solution of word problems

Solve linear inequations and graph solution sets on a number line

Lesson Enders (WA Test Papers)

Access to Algebra 3 & 4

Assignments in Junior Algebra Books 1 and 2

CFS Blackline Masters

MCTP Vol 1: p216 – Algebra Walk

Use of graphs to solve equations;show the importance of the point of intersection of two lines when the pronumeral is on both sides

Use of shading to show inequalities

SchoolKit – REX

FX Graph

FX Equation

Excel – Spinners

Page 4 of 18


Algebra Solve simultaneous linear equations graphically and

algebraically (by substitution and elimination methods)

apply to solution of word problems

Solve quadratic equations include factorisation,

completing the square and formula methods

apply to solution of word problems

Use graphics or tables to find the intersection of the two lines to give a solution

Access to Algebra – QTP Creating a Tapestry

Simultaneous Equations(CMA CD/website)

Use of graphics/tables to find the roots of a quadratic equation and show what happens to them as the discriminant changes

SchoolKit – Linear Systems by Graphing

Use any graphing packages – FX Graph, Autograph, Graphmatica, etc

SchoolKit Exploring the Discriminant Program the Quadratic Formula

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Algebra Coordinate geometry find gradient, length,

midpoint of an interval; geometric applications of these

Graph straight lines using table of values;

gradient/intercept method; x and y intercept method

include horizontal and vertical lines

graph line from equation, write equation from graph

Find the equation of a line given: y-intercept, gradient one point, gradient two points

Transpose between different forms

Recognise linear relationships

Investigate conditions for parallel/perpendicular lines, and find equations using these properties

Graph quadratic functionsFind x/y intercepts, axis of symmetry, vertex, maximum/minimum values. Solve word problems

Battleships

MCTP Vol 1: p213 – Algebra walk

Practical activities, eg slope of ramps, stairs, etc

Graphing software graphics calculators Spinners equation plotter (Green Globs) Graphmatika FX Graph Autograph

Linear experiments – Hooke’s Law

Speed Graphs in MCTP Vol 2, p567

Graphing/table capabilities

Using Graphics Calculators for Coordinate GeometryGraphing Straight LinesGuess the Line StarburstTangrams and Straight LinesWhat’s My LineWalk the Walk (CBR)(CMA CD/website)

Coordinate Geometry Art from The Sub-Atomic Project, QAMT or CMA CD/website

CBR worksheets (TI and Casio) Walk the Line Match the Graph Shape Up

Access to Algebra

SpeedingTemperature ConversionsWhich FuelSketching QuadraticsParabolic AerobicsAlien Attack (CMA CD/website)

ALG1CH5, ALG1PRT1 Apps (TI)

Graphing packages – see Strategies column

SchoolKit – Linear Graphing Intro

FX Graph

FX Equation

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Algebra Indices index laws, including

negative, fractional and algebraic indices

scientific notation and the calculator

Access to Algebra

Work Samples – National Mathematics Profiles

Scientific mode on the calculator

Algebra Surds the Real Number

System definition of surds addition and

subtraction of surds multiplication and

division of surds binomial products rationalising the

denominator

Constructing surds on the number line

AAANSWER program (TI) to convert decimal answers to their surd equivalent

Page 7 of 18


Algebra Sketching Other Graphs relate shape of graph

to equation

parabola cubic hyperbola circle exponential

Identify key features intercepts turning points discontinuities,

asymptotes

Changes to graph shape and position

Translations, dilations, etc

Graphing software graphics calculators Spinners equation plotter

(Green Globs) Graphmatika (shareware) FX Graph Autograph

Graphics and table capabilities

A Classic Example – The Hare and TortoiseLet’s Be RationalThe Best Shape for a Can(CMA CD/website)

Getting Started with Data LoggingSteve Arnold (CMA CD)

TRANSFORM App (TI)

DYNA MENU (Casio)

SUB command (Sharp)

SPGRAPH program (TI)(CMA CD)

Software packages – see Strategies column

SchoolKit – Exponential Regression

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Year 9 and 10 Course – Level 1Strand Content Strategies Graphics Calculators ICT OpportunitiesChance and Data Probability

Experimental probability

Theoretical probability

Using tables for multiple events

Simple tree diagrams

Probability trees for independent events and dependent events

Multiplication and addition rules

Venn diagrams

Chance and Data Investigations Volumes 1 and 2 Lovitt and Lowe (Curriculum Corporation) eg Lotto game

Various simulations

Maths for the Real WorldUnit 6

MCTP, pp 561, 549, 555

Random-number generator, graphing of data, analysis tools

Probably Finding π(CMA CD/website)

Probability Simulation App (TI)

Enhancing Learning with a Graphics Calculator (Casio) Barry Kissane

Probability and Statistics with the TI-83 Plus Jones and Barling (Cambridge UP)

Getting Started with Probability and Statistics Steve Arnold(CMA CD)

SchoolKit Happy Birthday to You Too Tree Diagrams and

Permutations

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Year 9 and 10 Course – Level 1Strand Content Strategies Graphics Calculators ICT OpportunitiesChance and Data Statistics

Collecting data

Organising data (including grouped data) into frequency tables

Analysing data measures of central

tendency

Display data histogram polygon for both

frequency and cumulative frequency

stem plots box-and-whisker

diagrams

Use cumulative frequency polygon (ogive) to find

median quartiles percentiles deciles

Measures of spread range interquartile range standard deviation

Normal-distribution curve

ABS website, publications and software

MCTP, Chance and Data and Real-Life Data – social statistics, eg smoking, drink driving, mortality

Use of data from students, eg personal measurements, birthdays, etc

Statistics and graphing capabilities, analysis tools


Probability and Statistics with the TI-83 Plus Jones and Barling (Cambridge UP)

Reaction Times and StatisticsStatistics from Birthdays (CMA CD/website)

Getting Started with Probability and Statistics Steve Arnold(CMA CD)

Excel – use spreadsheets to enter data and do calculations; also use graph wizard

SchoolKit Box-and-Whisker Plots Normal-Distribution Curve Stem-and-Leaf Plots and

Histograms Standard Deviation

www.abs.gov.au

Page 10 of 18


Number Consumer Arithmetic

Earning, saving, borrowing and spending money

Simple interest

Compound interest

Depreciation

Foundations Maths for the Real World Pearson Education

Graphing capabilities, tables

TVM calculators


Time, Value, Money on the TI-83Hofman and Hofman (TI)

Compound Interest(CMA CD/website)

AMORT program (TI)(CMA CD/website)

CelSheet App (TI)

Excel Spinners spreadsheets

SchoolKit Investment Calculator Analysing Financial Data

Bank websiteswww.stgeorge.com.auwww.allhomes.com.auwww.combank.com.auwww.dollarsandsense.com.au (worksheets & lesson plans available)

Coolmath.com

Moneyopolis.com

Sharemarket Game

Page 11 of 18

http://www.dollarsandsense.com.au/

http://www.combank.com.au/

http://www.allhomes.com.au/

http://www.stgeorge.com.au/

Year 9 and 10 Course – Level 1Strand Content Strategies Graphics Calculators ICT Opportunities Measurement Trigonometry of

right-angled triangles

Establish the trig ratios (sin, cos, tan) by measuring sides of triangles (similarity)

Use calculator to find trig ratios angles when the ratio

is known

Find unknown sides and angles in right triangles

Construct appropriate diagrams

Solve word problems

Understand bearings; angles of elevation or depression; solve problems

Exact values of the trig functions for 30, 45, 60

Trig ratios for angles of any magnitude

Sine rule, cosine rule

Area of a triangle

Problems involving right triangles

Definition by unit circle; include four quadrants/boundaries

MCTP Vol 1: Trig Walk, p219

MCTP Vol 2: pp 371, 379

Make/use a clinometer, compass

Use as a scientific calculator SchoolKit – Meaning of Trigonometric Functions

Page 12 of 18

Year 9 and 10 Course – Level 1Strand Content Strategies Graphics Calculators ICT Opportunities Measurement Review

perimeter and area of plane shapes, including circles

Pythagoras’ Theorem units and conversions rounding and keeping accuracy until the last step

Working Mathematically with Measurement Thelma Perso

Use as a scientific calculator

Use a table to enter formula to find the length of hypotenuse and shorter sides

Can also use formulas in lists (TI)

AreaForm App (TI)

Excel – use a spreadsheet to enter formula to find the length of hypotenuse and shorter sides

Searching the internet for the history of Pythagoras’ Theorem

Searching the internet for the history of π

Page 13 of 18

Year 9 and 10 Course – Level 1Strand Content Strategies Graphics Calculators ICT Opportunities Measurement Surface area

Identifying prisms and pyramids – naming and drawing.

Surface area of: prisms, including

cylinders pyramids, including

cones spheres composite solids

Practical applications of surface area

Plastic models

MCTP Vol 1: Baby in the car, p105

Make 3D shapes

Use a table or graph to compare surface-area-to-volume ratios of different-sized spheres

Given a fixed surface area of glass, how do you maximise the volume of a fish tank? – use a table or graph to model this

The Best Shape for a Tin Can (CMA CD/website)

CabriJr App (TI)

Getting Started with Interactive Geometry Steve Arnold(CMA CD)

Use Excel spreadsheets to compare surface-area-to-volume ratios of different-sized spheres

Given a fixed surface area of glass, how do you maximise the volume of a fish tank? – use an Excel spreadsheet to model this

Geometers Sketchpad CAD packages

Page 14 of 18

Year 9 and 10 Course – Level 1Strand Content Strategies Graphics Calculators ICT Opportunities Measurement Volume

Volume of: prisms and cylinders pyramids and cones spheres composite solids

Practical applications of volume

MCTP Vol 2: Drink Can Design, p617

Volume of a cylinder – folding an A4 sheet vertically and horizontally

Make 3D shapes

Use a table or graph to compare surface-area-to-volume ratios of different-sized spheres

Given a fixed surface area of glass, how do you maximise the volume of a fish tank? – use graphs and/or tables to model this

The Best Shape for a Can(CMA CD/website)

CabriJr App (TI)


Use Excel spreadsheets to compare surface-area-to-volume ratios of different-sized spheres

Given a fixed surface area of glass, how do you maximise the volume of a fish tank? – use an Excel spreadsheet to model this

Geometers Sketchpad

CAD packages

Page 15 of 18


Space Similarity

Similar figures

Investigating similarity

Ratio and proportion

Conditions for similar triangles

Sides, areas and volumes of similar figures

Drawing package CabriJr App (TI)


Any drawing package, such as Geometers Sketchpad or Mathsplot

Page 16 of 18


Optional Polynomials

Including: four operations Remainder Theorem Factor Theorem finding zeroes sketching

Algebraic and graphical methods

Graphing capabilities and graph tools

Let’s Be Rational(CMA CD/website)

SPCUBIC and SPQUINT programs (TI)(CMA CD/website)

SchoolKit – Polynomial Exploration

Graphing packages

Excel – Spinners

Page 17 of 18


Optional Geometry

Congruent triangles conditions deductive problems

and proofs

Circles parts properties theorems deductive problems

and proofs

CabriJr App (TI)


Geometers Sketchpad

Page 18 of 18

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Strand - mathsbooks.netmathsbooks.net/Activities for Graphics Calculator/9 - 10 A… · Web viewFind x/y intercepts, axis of symmetry, vertex, maximum/minimum values. Solve word