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MATHS QUEST FOR QUEENSLAND Maths Quest for Queensland Book 1, Maths Quest for Queensland Book 2, Maths Quest for Queensland Book 3 Syllabus Grid Strand: Number Topic: Number concepts Core Learning Outcome Core content N 4.1 Students compare and order whole numbers and common and decimal fractions of any size, make connections between key percentages and fractions and describe how a range of factors influence financial decisions Numeration whole numbers decimal fractions key percentages (100%, 50%, 25%, 20%, 10%, 1%) fractions o common fractions format terms (vinculum, numerator, denominator) o decimal fractions format o percentage format o equivalence square and cubic notation Maths Quest for Queensland Book 1 Exercises and Investigations / Enrichment activities 1A The need for numbers (Q1-4) 1B Place value (Q1-9) 1H Subsets of numbers (Q15, 13-20) 2A Understanding common fractions (Q1-12) 2B Simplifying common fractions (Q1-6) 2C Improper fractions and mixed numbers (Q1-15) You want more pizza? 3A Place value (Q1-13) 3B Comparing decimal fractions (Q1-5) 3C Converting decimal fractions to common fractions (Q1-5) 3D Rounding (Q1-11) 4A Integers on the number line (Q1) Maths Quest for Queensland Book 2 Exercises and Investigations / Enrichment activities Using expanding formulas to square large numbers Maths Quest for Queensland Book 3 Exercises and Investigations / Enrichment activities To order: Contact your local bookseller Enquiries: Madonna Cavalliotis, Regional Sales Manager, Mobile: 0410 550 728, Phone: 07 3859 9683, Email: [email protected] Number sense position and order of numbers connections between key percentages, unit fractions and decimal fractions sensible adjustments of numbers everyday representation of numbers subsets of whole numbers o prime and composite o square o triangular Money financial decisions o purchases (best buys, discounts) o advertising (for purchases) o methods of payment o budgets for specific events key percentages o simple interest o discounts o cashless transactions (cheques, money orders, EFTPOS, store cards) 1A The need for numbers (Q1-4) 1B Place value (Q1-9) Numbers as identifiers 1G Estimation (Q2-5) 1H Subsets of numbers (Q15, 13-20) Book numbers The sieve of Eratosthenes 1K Prime and composite numbers (Q1-13) 2A Understanding common fractions (Q1-12) 3A Place value (Q1-13) 3B Comparing decimal fractions (Q1-5) The javelin event 3D Rounding (Q1-11) 4A Integers on the number line (Q1) 4B Positive integers and zero on the number plane (Q1-4) 3J Money (Q1-13) Sale time – spending time! The bagels game What numbers are in my list? N 5.1 Students compare and order integers, use and interpret index notation, rates and ratios and analyse options and make informed financial decisions about saving, credit and debit. Numeration integers index notation (whole numbers indices only) square root percentage o whole percentages o fractional o greater than 100% 1H Subsets of numbers (Q612, 21, 22) 1I Index notation (Q1-12) Finding square roots and cube roots without a calculator 3I Percentages (Q1-16) 4A Integers on the number line (Q2-12) Number sense position and order of numbers including integers connections between squares and square roots connections between percentages and fractions sensible adjustments of numbers 3I Percentages (Q1-16) 4A Integers on the number line (Q2-12) Comparing temperatures 4C Integers on the number plane (Q1-12) Mountain climbing 4I Directed numbers on the number line (Q1-4) 4J Directed numbers on the number plane (Q1-11) 2A Introduction to ratios (Q1-9) 2B Simplifying ratios (Q1-8) 2C Direct proportion (Q1-8) 2D Comparing ratios (Q110) Cordial mixing 2E Increasing and decreasing in a given ratio (Q1-11) 2F Dividing in a given ratio (Q1-12) How high is that tree? 2G Speed (Q1-10) Travelling speeds 3A What are indices? (Q1, 2) 3B powers and bases (Q1-7) Patterns with indices 3C Multiplication using indices (Q1-6) 3D Division using indices (Q1-6) 3E Zero index (Q1-7) 3F Raising a power to another power (Q1-6) 3G Square and cube roots (Q1-3) The chessboard problem 3G Square and cube roots (Q1-3) 2F Review of index laws (Q1-7) Converting recurring decimal fractions to common fractions Percentages in tests Money financial decisions o credit and debit transactions o charges/fees (including GST) o advertising (of financial services o short term benefits and/or long term consequences o methods of saving cashless transactions (direct debit, BPAY) percentages o interest o discounts Sale time – spending time! 1A Money (Q1-14) How much is one million dollars? Movie munchies 1C Discount (Q1-14) Successive discounts 1D Profit and loss (Q1-14) 1E Simple interest (Q1-13) Money transactions 1G Calculating GST and VAT (Q1-11) N 6.1 Students compare and order rational numbers, interpret and use scientific notation, and analyse options and make informed personal budgeting and other financial decisions. Numeration rational numbers index notation (integer indices) scientific notation (positive and negative powers of 10) Number sense position and order within the set of rational numbers connections between scientific notation and other representations of numbers sensible adjustment of numbers 3A What are indices? (Q1, 2) 3B Powers and bases (Q1-7) Patterns with indices 3C Multiplication using indices (Q1-6) 3D Division using indices (Q1-6) 3E Zero index (Q1-7) 3F Raising a power to another power (Q1-6) 3G Square and cube roots (Q4-7) The chessboard problem 2J Scientific notation (Q110) Alpha Centauri 2J Scientific notation (Q110) Alpha Centauri Money financial decisions and budgeting o income: gross, net o expenditure o saving for a purpose o borrowing o savings plan o planning for an event o consequences of over-commitment percentages o compound growth cashless transactions (internet and phone banking) comparisons of rates, fees and charges N DB 6.1a Students interpret and use the various sets of real numbers and integer and unit fractional powers. N DB 6.1b Students make informed decisions with regard to earning, spending and saving money, with reference to schedules of government and business charges. 1A Wages and salaries (Q110) 1B Working overtime (Q111) 1C Piecework (Q1-12) 1D Commission and royalties (Q1-14) Earning money 1E Gross and net pay (Q112) 1F Budgeting (Q1-12) Understanding percentages 1H Compound interest (Q116) Compound interest spreadsheets 2A Irrational numbers (Q111) Plotting irrational numbers on the number line 2B Simplifying surds (Q1-7) Braking distances 2G Negative indices (Q1-5) 2H Fractional indices (Q110) Standard paper sizes 2I Further use of index laws (Q1-9) Investigating government payments Examining bank fees and taxes Strand: Number Topic: Addition and subtraction Core Learning Outcome Core content N 4.2 Students identify and solve addition and subtraction problems involving any whole numbers and decimal fractions, selecting from a range of computation methods, strategies and known number facts. Addition and Subtraction whole numbers decimal fractions including with different numbers of decimal places laws of operation for addition Connections o Inverse (backtracking) Mental computation strategies for whole numbers and decimal fractions o making numbers manageable o count on and back o doubling o changing operations Computation methods mental computations o exact o approximate written recordings o student-generated o traditional methods o calculators, computers Maths Quest for Queensland Book 1 Exercises and Investigations / Enrichment activities 1C Adding and subtracting whole numbers (Q1-17) Consecutive whole numbers Going dotty with dice 1F Order of operations (Q16) Darts competition 1G Estimation (Q2-4, 6, 7) Averages and fractions 3E Adding and subtracting decimal fractions (Q1-16) Palindromic decimals 1C Adding and subtracting whole numbers (Q1-17) 1F Order of operations (Q16) 1G Estimation (Q2-4, 6, 7) 3E Adding and subtracting decimal fractions (Q1-16) 1C Adding and subtracting whole numbers (Q1-17) 1F Order of operations (Q16) 1G Estimation (Q2-4, 6, 7) 3E Adding and subtracting decimal fractions (Q1-16) Maths Quest for Queensland Book 2 Exercises and Investigations / Enrichment activities Maths Quest for Queensland Book 3 Exercises and Investigations / Enrichment activities N 5.2 Students identify and solve addition and subtraction problems involving positive rational numbers using a range of computation methods and strategies. N 6.2 Students identify and solve addition and subtraction problems Addition and subtraction positive rational numbers o whole numbers o decimal fractions o common fractions related denominators Connections o inverse (backtracking) 2D Adding and subtracting common fractions (Q1-20) Egyptian fractions Musical fractions Averages and fractions 2G Mixed operations with common fractions (Q1-3) Mental computation strategies relevant to whole numbers, common fractions and decimal fractions generalisations about addition and subtraction 2D Adding and subtracting common fractions (Q1-20) Computation methods mental computations o exact o approximate written recordings o student-generated o traditional methods calculators, computers 2D Adding and subtracting common fractions (Q1-20) 2G Mixed operations with common fractions (Q1-3) Addition and subtraction rational numbers Connections o inverse (backtracking) 4D Addition of integers (Q1-11) 4E Subtraction of integers (Q1-9) 4H Combined operations (Q1-4) 1A Wages and salaries (Q110) 1B Working overtime (Q111) 1C Piecework (Q1-12) 1D Commission and royalties (Q1-14) Earning money 1E Gross and net pay (Q112) 1A Wages and salaries (Q110) 1B Working overtime (Q111) 1C Piecework (Q1-12) 1D Commission and royalties (Q1-14) Earning money 1E Gross and net pay (Q112) 1A Wages and salaries (Q110) 1B Working overtime (Q111) 1C Piecework (Q1-12) 1D Commission and royalties (Q1-14) Earning money 1E Gross and net pay (Q112) involving rational numbers using a range of computation methods and strategies. N DB 6.2 Students identify and solve addition and subtraction problems involving real numbers using a range of computation methods and strategies. Mental computation strategies relevant to integers and whole numbers, common fractions and decimal fractions generalisations about addition and subtraction 4D Addition of integers (Q1-11) 4E Subtraction of integers (Q1-9) Computation methods mental computations o exact o approximate written recording o student-generated o traditional methods calculators, computers 4D Addition of integers (Q1-11) 4E Subtraction of integers (Q1-9) 4H Combined operations (Q1-4) 2C Addition and subtraction of surds (Q1-5) Strand: Number Topic: Multiplication and division Core Learning Outcome Core content N 4.3 Students identify and solve multiplication and division problems involving whole numbers, decimal fractions, common fractions, percentages and rates, selecting from a range of computation methods, strategies and known number facts. Multiplication and Division Multiplication o whole numbers o decimal fractions to hundredths o recall multiplication facts to 9 9 o laws of operation for multiplication commutative associative distributive Division o whole number o decimal fractions to hundredths o recall division facts Connections o relationships between division and common fractions o inverse (backtracking) Fractions and proportions Fractions o unit fractions as operators o vinculum for division o links between key percentages, unit fractions and decimal fractions Rates o simple everyday rates such as kilometres per hour Maths Quest for Queensland Book 1 Exercises and Investigations / Enrichment activities 1D Multiplying whole numbers (Q1-22) 1E Dividing whole numbers (Q1-16) 1F Order of operations (Q16) 1G Estimation (Q1-7) How many tiles? 2E Multiplying common fractions (Q1-4, 7) 2F Dividing common fractions (Q1-5) 3F Multiplying decimal fractions (Q1-20) 3G Dividing decimal fractions (Q1-14) 3H Converting common fractions to decimal fractions (Q1-4) Common fractions to decimal fractions 2E Multiplying common fractions (Q1-4, 7) 2F Dividing common fractions (Q1-5) 2H Rates (Q1-17) 3H Converting common fractions to decimal fractions (Q1-4) Common fractions to decimal fractions Mountain climbing Wet or dry reunion? Maths Quest for Queensland Book 2 Exercises and Investigations / Enrichment activities Maths Quest for Queensland Book 3 Exercises and Investigations / Enrichment activities Mental computation strategies for beyond basic facts o recall all multiplication and division facts to 9 9 o doubling o halving o build up, build down o student-generated o place value o adjusting numbers Computation methods mental computations o exact o approximate written recordings o student-generated o traditional methods (one and two digit multipliers; single digit whole number divisors) formats for recording division o 13/4, 13 4, 4 13 , calculators, computers 13 4 1D Multiplying whole numbers (Q1-22) 1E Dividing whole numbers (Q1-16) 1F Order of operations (Q16) 1G Estimation (Q1-7) 1J Multiples and factors (Q20-29) 2E Multiplying common fractions (Q1-4, 7) 2F Dividing common fractions (Q1-5) 3F Multiplying decimal fractions (Q1-20) 3G Dividing decimal fractions (Q1-14) 1D Multiplying whole numbers (Q1-22) 1E Dividing whole numbers (Q1-16) 1F Order of operations (Q16) 1G Estimation (Q1-7) 1J Multiples and factors (Q20-29) 2E Multiplying common fractions (Q1-4, 7) 2F Dividing common fractions (Q1-5) 3F Multiplying decimal fractions (Q1-20) 3G Dividing decimal fractions (Q1-14) 3H Converting common fractions to decimal fractions (Q1-4) Common fractions to decimal fractions N 5.3 Students identify and solve multiplication and division problems involving positive rational numbers, rates, ratios and direct proportions using a range of computation methods and strategies. Multiplication and division Multiplication o positive rational numbers whole numbers common fractions decimal fractions numbers with indices Division o positive rational numbers whole numbers common fractions decimal fractions Connections o inverse (backtracking) Fractions and proportions Fractions o percentages, common fractions, decimal fractions Rates o calculations involving everyday rates such as mobile phone charges Ratios o simple everyday ratios such as 1 part juice concentrate to 4 parts water o symbol for ratio ( : ) Direct proportion o calculations with direct proportion (including graphical representations) 2E Multiplying common fractions (Q5, 6, 8-14) 2F Dividing common fractions (Q6-9) 2G Mixed operations with common fractions (Q1-3) Movie munchies 1B Common percentages and shortcuts (Q1-15) 2E Multiplying common fractions (Q5, 6, 8-14) 2F Dividing common fractions (Q6-9) 3I Percentages (Q1-16) Movie munchies 1B Common percentages and shortcuts (Q1-15) 1C Discount (Q1-14) Successive discounts 1D Profit and loss (Q1-14) 1E Simple interest (Q1-13) Money transactions 2A Introduction to ratios (Q1-9) 2B Simplifying ratios (Q18) 2C Direct proportion (Q112) 2D Comparing ratios (Q110) Cordial mixing 2E Increasing and decreasing in a given ratio (Q1-11) 2F Dividing in a given ratio (Q1-12) How high is that tree? 2G Speed (Q1-11) Travelling speeds 1A Wages and salaries (Q110) 1B Working overtime (Q111) 1C Piecework (Q1-12) 1D Commission and royalties (Q1-14) Earning money 1E Gross and net pay (Q112) 1F Budgeting (Q1-12) Understanding percentages 1H Compound interest (Q116) Compound interest spreadsheets Percentages in tests Musical notes Mental computation strategies relevant to whole numbers, common fractions and decimal fractions generalisations about multiplication and division 2E Multiplying common fractions (Q5, 6, 8-14) 2F Dividing common fractions (Q6-9) Movie munchies 1B Common percentages and shortcuts (Q1-15) 1C Discount (Q1-14) Successive discounts 1D Profit and loss (Q1-14) 1E Simple interest (Q1-13) Money transactions 2A Introduction to ratios (Q1-9) 2B Simplifying ratios (Q18) 2C Direct proportion (Q112) 2D Comparing ratios (Q110) Cordial mixing 2E Increasing and decreasing in a given ratio (Q1-11) 2F Dividing in a given ratio (Q1-12) How high is that tree? 2G Speed (Q1-11) Travelling speeds 1A Wages and salaries (Q110) 1B Working overtime (Q111) 1C Piecework (Q1-12) 1D Commission and royalties (Q1-14) Earning money 1E Gross and net pay (Q112) 1F Budgeting (Q1-12) Understanding percentages 1H Compound interest (Q116) Compound interest spreadsheets Percentages in tests Musical notes N 6.3 Students identify and solve multiplication and division problems involving rational numbers, rates, ratios and direct Computation methods mental computations o exact o approximate written recordings o student-generated o traditional methods calculators, computers 2E Multiplying common fractions (Q5, 6, 8-14) 2F Dividing common fractions (Q6-9) 2G Mixed operations with common fractions (Q1-3) Multiplication and division Multiplication o Rational numbers negative numbers (with calculator) Connections o inverse (backtracking) 4F Multiplication of integers (Q1-8) Number pattern table 4G Division of integers (Q1-5) 4H Combined operations (Q1-4) Movie munchies 1B Common percentages and shortcuts (Q1-15) 1C Discount (Q1-14) Successive discounts 1D Profit and loss (Q1-14) 1E Simple interest (Q1-13) Money transactions 2A Introduction to ratios (Q1-9) 2B Simplifying ratios (Q18) 2C Direct proportion (Q112) 2D Comparing ratios (Q110) Cordial mixing 2E Increasing and decreasing in a given ratio (Q1-11) 2F Dividing in a given ratio (Q1-12) How high is that tree? 2G Speed (Q1-11) Travelling speeds 1A Wages and salaries (Q110) 1B Working overtime (Q111) 1C Piecework (Q1-12) 1D Commission and royalties (Q1-14) Earning money 1E Gross and net pay (Q112) 1F Budgeting (Q1-12) Understanding percentages 1H Compound interest (Q116) Compound interest spreadsheets Percentages in tests Musical notes and inverse proportions using a range of computation methods and strategies. A fair price for a pizza Maintaining an Olympic pool Fractions and proportions Fractions o fractional percentages of numbers Rates o comparisons of rates expressed in various forms Ratio and proportion o as direct proportion o as inverse proportion Mental computation strategies relevant to rational numbers generalisations about multiplication and division 4F Multiplication of integers (Q1-8) 4G Division of integers (Q1-5) 4H Combined operations (Q1-4) Braking distances 3A Direct proportion (Q1-7) 3B Direct proportion – the constant of proportionality (Q1-12) 3C Direct proportion and ratio or rate (Q1-9) Leonardo’s observations 3D Partial proportion (Q19) 3E Inverse proportion (Q111) The building problem 3F Identifying the type of proportion (Q1) SOS! Braking distances 3A Direct proportion (Q1-7) 3B Direct proportion – the constant of proportionality (Q1-12) 3C Direct proportion and ratio or rate (Q1-9) Leonardo’s observations 3D Partial proportion (Q19) 3E Inverse proportion (Q111) The building problem 3F Identifying the type of proportion (Q1) SOS! Computation methods mental computations o exact o approximate written recordings o student-generated o traditional methods calculators, computers N DB 6.3a Students multiply and divide rational numbers and calculate rates of change from graphs. N DB 6.3b Students identify and solve multiplication problems involving real numbers using a range of computation methods and strategies. 4F Multiplication of integers (Q1-8) 4G Division of integers (Q1-5) 4H Combined operations (Q1-4) Braking distances 3A Direct proportion (Q1-7) 3B Direct proportion – the constant of proportionality (Q1-12) 3C Direct proportion and ratio or rate (Q1-9) Leonardo’s observations 3D Partial proportion (Q19) 3E Inverse proportion (Q111) The building problem 3F Identifying the type of proportion (Q1) SOS! What’s our money worth overseas? Focus on variation Compound interest spreadsheets 2D Multiplication and division of surds (Q1-9) 2E Writing surd fractions with a rational denominator (Q1-6) Many hands make light work! Strand: Patterns and Algebra Topic: Patterns and functions Core Learning Outcome Core content PA 4.1 Students identify and create representations of patterns and functions and apply backtracking to solve simple equations that involve combinations of the four operations. Patterns rules based on the position of terms – combinations of operations calculators ordered pairs and graphs (with discrete data only) Functions input output – with combinations of operations rules relating two sets of data backtracking (inverse) o with combinations of operations representations of relationships o ordered pairs o tables, line graphs, equations (number sentences) o trends o discrete and continuous data o electronic and, or manual Maths Quest for Queensland Book 1 Exercises and Investigations / Enrichment activities 5A Number patterns (Q1-5) 5B Geometric patterns (Q1-4) Even number triangle 5B Geometric patterns (Q1-4) 6A Using inverse operations (Q3-6) 6B Building up expressions (Q1-3) 6C Solving equations using backtracking (Q1-5) Maths Quest for Queensland Book 2 Exercises and Investigations / Enrichment activities Patterns with indices The chessboard problem Pascal’s triangle Maths Quest for Queensland Book 3 Exercises and Investigations / Enrichment activities PA 5.1 Students interpret and compare different representations of linear and simple non-linear functions and solve the related problems. Functions ordered pairs – four quadrants representations of variables o words o symbols linear o representations – tables, line graphs, linear equations, proportion equations o dependent and independent variables o discrete and continuous o trends non-linear models o dependent and independent variables o discrete and continuous o representations – tables, line graphs o trends electronic and manual representations 5C Graphing number patterns and geometric patterns (Q1-11) 5D Writing and finding formulas (Q1-12) Predicting values 5E Using formulas (Q1-3) Rules of thumb Nutrition panels 5F Problem solving using algebra (Q1-7) How high will it grow? 5G Terms, expressions and equations (Q1-5) 2C Direct proportion (Q9-12) 2G Speed Q11 6A Plotting linear graphs (Q14) 6G Plotting points to draw graphs of quadratic functions (Q1-6) PA 6.1 Students create mathematical models of realistic situations and use interpretations of the models to draw conclusions or make decisions. PA DB 6.1a Students interpret and model trends in data and solve problems using graphs, formulae and equations. PA DB 6.1b Students identify and interpret the properties of various families of functions. PA DB 6.1c Students specify the domain of a function using inequality symbols. Functions linear model o equations o representations – tables, graphs o trends non-linear models o representations – tables, graphs o trends electronic and manual representations 6B General equation of a straight line (Q1-9) 6C Sketching linear graphs (Q1-6) 6D Determining linear rules (Q1-8) 6E Applications of linear graphs (Q1-10) Families of curves Profit or loss 6F Key features of the graph of a quadratic function (Q1-5) 6G Plotting points to draw graphs of quadratic functions (Q1-6) Filling containers 6H Sketching parabolas of the form y = ax2 (Q1-7) What is the effect of changing a? What have radio telescopes got to do with parabolas? 6D Plotting parabolas (Q1-12) Finding intercepts and turning points using a graphics calculator Catch this! The game of golf Bicycle helmets 6E Sketching parabolas using the basic graph of y = x2 (Q17) 6F Sketching parabolas of the form y = x2 + bx + c (Q1-6) 5E Solving linear inequations (Q1-9) Strand: Patterns and Algebra Topic: Equivalence and equations Core Learning Outcome Core content PA 4.2 Students create and interpret equations containing unknowns, explain the effect of order of operations, and justify solutions to the equations Equivalence order convention methods for solving equations o balance o guess and check Representations symbols o equals, = o not equals, o brackets unknowns o shapes, boxes o question marks arrow diagrams Maths Quest for Queensland Book 1 Exercises and Investigations / Enrichment activities 6A Using inverse operations (Q1, 2) 6B Building up expressions (Q4, 5) 6C Solving equations using backtracking (Q6, 7) Mystical powers 6A Using inverse operations (Q1, 2) 6B Building up expressions (Q4, 5) 6C Solving equations using backtracking (Q6, 7) Mystical powers 6D Checking solutions (Q13, 6) Maths Quest for Queensland Book 2 Exercises and Investigations / Enrichment activities Maths Quest for Queensland Book 3 Exercises and Investigations / Enrichment activities PA 5.2 Students interpret and solve linear equations related to realistic problems using algebraic and graphical methods. Equivalence methods for solving equations o substitution o balance o backtracking o guess and check o graphical displays o tabular data Representations variable o words o letter symbols algebraic conventions o implied multiplication (3t) o implied division ( a ) 3 o computer format (*, /) arrow diagrams linear proportion equations 6D Checking solutions (Q4, 5, 7, 8) 6E Keeping equations balanced (Q1-9) 6F Doing the same to both sides (Q1-8) 6G Solving word problems (Q1-21) Kids’ hotline walk-a-thon 5I Multiplying and dividing pronumerals (Q1-6) 6D Checking solutions (Q4, 5, 7, 8) 6E Keeping equations balanced (Q1-9) Mobiles Number game 6F Doing the same to both sides (Q1-8) 6G Solving word problems (Q1-21) Kids’ hotline walk-a-thon 5A Solving equations with the pronumeral on one side (Q1-11) 5B Solving equations with the pronumeral on both side (Q1-5) Musical notes Converting recurring decimal fractions to common fractions 5A Solving equations with the pronumeral on one side (Q1-11) 5B Solving equations with the pronumeral on both side (Q1-5) Musical notes Converting recurring decimal fractions to common fractions PA 6.2 Students interpret and solve mathematical models of realistic situations using algebraic, graphical and electronic methods. Equivalence methods for solving equations o graphical methods o substitution o balance o backtracking o guess and check simplifying collecting like terms expanding 5H Simplifying expressions (Q1-6) 5J Expanding and simplifying (Q1-3) 4A Expanding single brackets (Q1-3) Oops! Any errors? 4B Expanding two brackets (Q1-3) 4C Expanding pairs of brackets (Q1-4) What has area got to do with expanding? 4D Expansion patterns (Q14) Using expanding formulas to square large numbers 4E More complicated expansions (Q1-30) Pascal’s triangle Billboard costs 4F Factorising using the highest common factor (Q18) 4G Factorising using the difference of two squares rule (Q1-6) What has area got to do with factorising? 4H Simplifying algebraic fractions (Q1-6) 5C Solving equations with brackets (Q1-6) 5D Solving problems with linear equations (Q1-11) 5E Solving linear inequations (Q1-9) Rearranging formulas 5F Rearranging formulas (Q1-4) Maximum viewing area Steps and stairs 4A Expanding algebraic expressions (Q1-12) 4B Factorising using common factors (Q1-5) 4C Factorising expressions with two or four terms (Q113) 4D Factorising expressions with three terms (Q1-50) Mouse pad dimensions 4E Factorising more complex expressions with three terms (Q1-3) 4F Mixed factorising practice (Q1-40) 4G Simplifying algebraic fractions (Q1-3) What’s the problem? 5A Graphical solution of simultaneous equations (Q17) How many cockatoos and kangaroos? Cat and mouse problem Representations linear, proportion equations life-related non-linear models algebraic conventions o logical setting out models 5H Simplifying expressions (Q1-6) 5J Expanding and simplifying (Q1-3) 4A Expanding single brackets (Q1-3) Oops! Any errors? 4B Expanding two brackets (Q1-3) 4C Expanding pairs of brackets (Q1-4) What has area got to do with expanding? 4D Expansion patterns (Q14) Using expanding formulas to square large numbers 4E More complicated expansions (Q1-30) Pascal’s triangle Billboard costs 4F Factorising using the highest common factor (Q18) 4G Factorising using the difference of two squares rule (Q1-6) What has area got to do with factorising? 4H Simplifying algebraic fractions (Q1-6) 5C Solving equations with brackets (Q1-6) 5D Solving problems with linear equations (Q1-11) 5E Solving linear inequations (Q1-9) Rearranging formulas 5F Rearranging formulas (Q1-4) Maximum viewing area Steps and stairs 4A Expanding algebraic expressions (Q1-12) 4B Factorising using common factors (Q1-5) 4C Factorising expressions with two or four terms (Q113) 4D Factorising expressions with three terms (Q1-50) Mouse pad dimensions 4E Factorising more complex expressions with three terms (Q1-3) 4F Mixed factorising practice (Q1-40) 4G Simplifying algebraic fractions (Q1-3) What’s the problem? 5A Graphical solution of simultaneous equations (Q17) How many cockatoos and kangaroos? Cat and mouse problem Chords and triangles in circles PA DB 6.2 Students manipulate expressions and solve equations including simultaneous and quadratic equations. 4G Simplifying algebraic fractions (Q1-3) Equal or not equal? 4H Adding and subtracting algebraic fractions (Q1-7) 4I Algebraic applications (Q1-8) 5B Algebraic solutions of simultaneous equations – elimination method (Q1-5) Simultaneous equations in 3 unknowns 5C Algebraic solutions of simultaneous equations – substitution method (Q1-3) Cramer’s rule for simultaneous equations 5D Problem solving using simultaneous equations (Q118) Concert hall seating 6A Solving quadratic equations by factorising (Q1-16) 6B Solving quadratic equations using the quadratic formula (Q1-6) 6C Using the discriminant (Q1-6) Flying dolphin Satellite height Strand: Measurement Topic: Length, mass, area and volume Core Learning Outcome Core content M 4.1 Students choose appropriate units when estimating and measuring and explain relationships between dimensions when investigating areas, volumes and lengths of boundaries of rectangles and prisms. Measurement terms and attributes perimeter circumference square and cubic units Units of measure millimetres (mm), centimetres (cm), metres (m) and kilometres (km) tonnes (t) and kilograms (kg) square metre (m2) square centimetre (cm2) cubic centimetre (cm3) cubic metre (m3) measuring instruments related historical units of measure Maths Quest for Queensland Book 1 Exercises and Investigations / Enrichment activities 7C Perimeter (Q1-20) Measuring curves Maximise the perimeter Cost of a new fence 7D Metric units of area (Q17, 9-12) 7G Volume and capacity (Q1, 2, 13-26) 7A Metric units of length (Q1-14) Measuring lengths 7D Metric units of area (Q17, 9-12) 7G Volume and capacity (Q1, 2, 13-26) 8G Mass (Q1-17) Estimating length and mass Comparing mass Maths Quest for Queensland Book 2 Exercises and Investigations / Enrichment activities How much is one million dollars? Maths Quest for Queensland Book 3 Exercises and Investigations / Enrichment activities Relationships the larger the unit the fewer required and vice versa o metres, centimetres and millimetres o kilograms and tonnes square centimetres and square metres relationships between: o length, width and area of rectangle o length, width and height and volume of prism o length of side and perimeter M 5.1 Students develop formulae to calculate areas, volumes and lengths of boundaries where the relationships between dimensions are known and Measurement terms and attributes perimeter circumference diameter radius pi Units of measure square metre (m2) hectares (ha) and square kilometres (km2) measuring instruments historical units of measure 7B Converting units of length (Q1-23) A metric unit converter 7C Perimeter (Q1-20) 7D Metric units of area (Q17, 9-12) Investigating the area of a rectangle What area does your hand cover? The size of tangram pieces Volume of a rectangular prism 7G Volume and capacity (Q1, 2, 13-26) 8G Mass (Q1-17) Estimating length and mass Comparing mass 7A Perimeter (Q1-15) 7D Metric units of area Q8 7A Perimeter (Q1-7) investigate a range of other shapes to explain the relationships between dimensions. Relationships the larger the unit the fewer required and vice versa o millilitres and cubic centimetres o hectares and square metres relationships between: o diameter and circumference of circle (pi) o length and width (height), and areas of triangles and parallelograms o areas of triangles and areas of parallelograms (same length, same width or height) o area of circles and irregular shapes formulae o area of rectangle o volume of prism o perimeter of rectangles including squares 7E Area of rectangles and triangles (Q1-22) 7F Area of composite shapes (Q1-10) 7G Volume and capacity (Q3-12, 27-30) Around the house What has area got to do with expanding? What has area got to do with factorising? Maximum viewing area 7A Perimeter (Q1-15) 7B Area of a parallelogram (Q1-8) Area of a parallelogram 7C Area of a trapezium (Q1-7) Area of a trapezium 7F Surface area of rectangular and triangular prisms (Q1-12) Painting cubes 7H Volume and capacity of prisms (Q1-4, 8, 10, 11, 13, 14) Maintaining an Olympic pool Volume and capacity M 6.1 Students interpret, analyse and solve measurement problems and justify selections and applications of formulae. Measurement terms and attributes Pythagoras tangent opposite and adjacent sides hypotenuse Relationships within right-angled triangles o Pythagoras’ Theorem o tangent ratio formulae o circumference of circle o area of circle o area of triangle o volume of cylinder o volumes of pyramids and cones compound shapes and objects 8A Pythagoras’ theorem (Q1-11) Pythagoras’ theorem) 8B Finding the length of a shorter side (Q1-13) 8C Composite shapes (Q127) 8D Naming the sides of a right-angled triangle (Q1-6) The tangent ratio 8E The tangent ratio (Q1-9) 8F Finding side lengths (Q1-8) 8G Finding the size of an angle (Q1-7) Using an inclinometer to measure inaccessible heights 8H Applications of Pythagoras’ theorem and trigonometry (Q1-10) Length of shadows 7A Perimeter (Q3-15) The diameter of a circle and its circumference – any connection? 7D Area of a circle (Q1-14) Area of a circle A fair price for a pizza 7E Composite shapes (Q110) Designing a one-bedroom unit 7G Surface area of a cylinder (1-6) 7H Volume and capacity of prisms (Q 5-7, 9, 12, 15, 16) 8A Trigonometric ratios (Q1-7) 11A Circles, chords and tangents (Q3-8) 7A Perimeter (Q1-7) 7B Area (Q1-6) 7C Total surface area (Q1-7) 7D Volume and capacity (Q1-8) Comparing volumes of pyramids and prisms 7E Length, area and volume changes with dilations (Q4, 6-16) 8A Trigonometric ratios (Q1-7) 11A Circles, chords and tangents (Q3-8) 11D Great circles (Q1-10) SOS! How big is our Earth? M DB 6.1a Students use combinations of procedures and formulae to solve multi-step problems. Shortest path Will the house stand up? Ernie’s didgeridoo Electrical cable Tethered donkey M DB 6.1b Students apply trigonometric ratios to particular situations involving triangles. Tethered donkey 7A Perimeter (Q8-15) 7B Area (Q7-10) Teardrops 7C Total surface area (Q812) 7D Volume and capacity (Q9-15) Water tank worries Satellite height 8G Graphs of y = sin θ and y = cos θ (Q1-11) Investigating the graphs of y = sin θ and y = cos θ 8A Trigonometric ratios (Q1-7) The cosine ratio 8B Using a calculator to calculate trigonometric ratios (Q1-13) 8C Using trigonometric ratios to find side lengths (Q1-8) 8D Using trigonometric ratios to find angles (Q1-8) 8E Applications of trigonometry (Q1-20) Satellite height Patchwork sewing 8F Trigonometry and bearings (Q5-12) Which way do I go? 8G Graphs of y = sin θ and y = cos θ (Q1-11) Investigating the graphs of y = sin θ and y = cos θ Strand: Measurement Topic: Time Core Learning Outcome Core content M 4.2 Students read, record and calculate with 24hour time and develop timetables and calendars to plan and organise events or activities. Units and conventions units o decade o century 24-hour time personal timetables, diaries (electronic or manual) timelines calendars Relationships days, weeks, months and years hour and minutes decade and century 24 hour time and 12 hour time duration o time calculations Units and conventions Australian time zones o daylight saving time timetables Relationships decimal representations of time units duration o time calculations o timetables of more than one week duration M 5.2 Students interpret and solve realistic problems related to time management and time zones within Australia. Maths Quest for Queensland Book 1 Exercises and Investigations / Enrichment activities 8A Time calculations (Q12, 16-23) 8B 24-hour clock (Q1-13) Using 24-hour time 8C The calendar (Q1-16) 8D Time lines (Q1-11) 8A Time calculations (Q12, 16-23) 8B 24-hour clock (Q1-13) 8C The calendar (Q1-16) 8D Time lines (Q1-11) 8E Timetables (Q1-20) 8F Time zones and flight schedules (Q1-23) Up, up and away! 8E Timetables (Q1-20) 8F Time zones and flight schedules (Q1-23) Up, up and away! Maths Quest for Queensland Book 2 Exercises and Investigations / Enrichment activities Maths Quest for Queensland Book 3 Exercises and Investigations / Enrichment activities M 6.2 Students analyse and use a variety of timetables to justify time management decisions and interpret and solve realistic problems involving international time zones. Units and conventions international zones o Greenwich Mean Time o International Date Line timetables 8E Timetables (Q1-20) 8F Time zones and flight schedules (Q1-23) Up, up and away! Greenwich Mean Time Relationships time zones, latitude and longitude synchronisation of events duration o time calculations 8E Timetables (Q1-20) 8F Time zones and flight schedules (Q1-23) Up, up and away! SOS! Strand: Chance and Data Topic: Chance Core Learning Outcome Core content CD 4.1 Students analyse experimental data and compare numerical results with predicted results to inform judgments about the likelihood of particular outcomes. Likelihood language of chance o frequency table o relative frequency probability values o impossible to certain, 0 to 1, key percentages between 0% to 100% o relate colloquialisms to probability values Judgements subjective and numerical judgments o comparisons and predictions based on experimental and given data o fairness of rules Maths Quest for Queensland Book 1 Exercises and Investigations / Enrichment activities 9A The language of chance (Q1-7) Parachute landing Petals 9A The language of chance (Q1-7) I win! Maths Quest for Queensland Book 2 Exercises and Investigations / Enrichment activities Maths Quest for Queensland Book 3 Exercises and Investigations / Enrichment activities CD 5.1 Students model and determine probabilities for single events to justify statements and decisions. Likelihood language of chance o theoretical probability (of a single event) probability models o lists, tables, tree diagrams o computer simulations o experiments Judgements quantitative judgements o probability of events with equally likely outcomes o fair, unfair and biased judgements o probability to support statements and decisions (single events) o experimental and theoretical probability links o extrapolations from simplified explorations 9B The sample space (Q1-7) 9C Simple probability (Q19) Parachute landing 9D Using tables to show sample spaces (Q1-10) 9E Experimenting with chance (Q1-6) Petals 9F Fair games (Q1-5) 9B The sample space (Q1-7) 9C Simple probability (Q19) Parachute landing 9D Using tables to show sample spaces (Q1-10) 9E Experimenting with chance (Q1-6) Petals 9F Fair games (Q1-5) 10A Probability scale (Q15) 10A Probability of single events (Q1-18) 10B Complementary events (Q1-12) 10B Experimental probability (Q1-13) Rock, paper, scissors 10C Sample spaces and theoretical probability (Q118) In the long run – tossing a coin 10D Simulations (Q1, 2, 11) Simulation Dice game 10A Probability of single events (Q1-18) 10B Complementary events (Q1-12) CD 6.1 Students model and determine probabilities for multi-outcome and compound events and justify decisions. Likelihood language of chance o multi-outcomes events o compound events o conditional probability (replacement or non-replacement) theoretical probability of multi-outcome and compound events probability models o lists, tables, tree diagrams o computer simulations o experiments Judgements quantitative judgements o predictions and justifications o experimental and theoretical probability links o extrapolations from simplified explorations CD DB 6.1 Students design simulations and use addition and multiplication properties to assist in finding probabilities. Drink flavours 10D Simulations (Q3-10) 10E Tree diagrams and twoway tables (Q1-14) Green is for go, red is for stop! 10C Mutually exclusive events (Q1-10) 10D Two-way tables and tree diagrams 10E Independent and dependent events (Q1-13) Footy card collecting Hit or sit? 10F Subjective probability (Q1-4) Explain these tricks Footy card collecting Hit or sit? 10C Mutually exclusive events (Q1-10) 10D Two-way tables and tree diagrams 10E Independent and dependent events (Q1-13) Footy card collecting Hit or sit? Strand: Chance and Data Topic: Data Core Learning Outcome Core content CD 4.2 Students plan and carry out data collections using their own data record templates, choose or construct appropriate displays and make comparisons about the data based on the displays and measures of location. Collecting and handling data planning of data collection methods o design data record templates o data entry into spreadsheets o extraction of data from other sources classifying and checking data discrete data o categorical data o count data continuous data Exploring and presenting data displays o pie charts o bar graphs o dot-plots o line graphs o two-way tables o lists Identifying and interpreting variation features of data o measures of location (central tendency) mean median mode limitations of measures of location Maths Quest for Queensland Book 1 Exercises and Investigations / Enrichment activities 10A Collecting and classifying data (Q1-9) Bias Collecting data for surveys and questionnaires How many red smarties are in a pack? 10B Displaying data in tables (Q1-11) 10C Understanding graphical displays (Q1-8) 10D Displaying data as graphs (Q1-22) Walking billboard Pictographs Families 10E Summary statistics (Q1-19) Families Maths Quest for Queensland Book 2 Exercises and Investigations / Enrichment activities Maths Quest for Queensland Book 3 Exercises and Investigations / Enrichment activities CD 5.2 Students plan investigations involving discrete and continuous data, produce and compare data displays involving grouping, and compare measures of location. CD 6.2 Students use and interpret crosssectional data and data collected over time to identify the nature of variations and relationships. Collecting and handling data studies involving observations, experiments and surveys templates for recording data spreadsheets consistency of units and conditions detecting errors discrete data continuous data groups (bins) Exploring and presenting data displays o two-way tables o compound graphs o histograms o stem and leaf plots Collecting data for surveys and questionnaires Identifying and interpreting variation features of data o spread (shape) o range o measures of location (central tendency) and limitations histograms and stem and leaf plots as picture estimates Collecting and handling data cross-sectional data data over time census data sample data 10E Summary statistics (Q20-25) Families Exploring and presenting data displays o plots over time o scatterplots o histograms o stem and leaf plots Obtaining your own data 9C Representing grouped data into class intervals (Q15) Conducting a statistical inquiry 9A Histograms and frequency polygons (Q1-10) Histograms 9B Stem and leaf plots (Q110) 9B Presenting categorical and discrete data (Q1-14) 9C Measures of central tendency (Q1-18) 9D Measure of spread (Q16) What numbers are in my list? 9F Analysing data (Q1-4) 9D Measures of central tendency (Q1-10) 9F Analysing data (Q5-6) 9A Collecting data (Q1-8) Problems collating data Non-random sampling A pulsating problem Footy season Conducting a statistical inquiry Who owns the gold coins? 9F Bivariate data (Q1-11) 9G Lines of best fit (Q1-8) A pulsating problem Misuse of graphs 9E Measures of spread (Q18) Standard deviation Identifying and interpreting variation comparative features of graphs and plots relationships between variables CD DB 6.2 Students interpret box and whisker plots and use them to compare sets of data. 9E Boxplots (Q1-9) Academy award winners 9E Measures of spread (Q68) Conducting a statistical inquiry Who owns the gold coins? Strand: Space Topic: Shape and line Core Learning Outcome Core content S 4.1 Students analyse the geometric properties of a range of 2D and 3D shapes to classify shapes into subgroups of families and justify reasoning. 3D shapes and objects and 2D shapes circle, ellipse, semi circle, quadrant, concentric circles parallelograms polygons – regular and irregular (quadrilaterals, triangles, pentagons, hexagons, octagons, dodecagons) Platonic solids (cube, tetrahedron, octahedron, dodecahedron, icosahedron) triangular prisms and hexagonal prisms square-based pyramids, tetrahedrons Geometric terms and properties perpendicular faces, perpendicular lines congruence (same shape and size) symmetry rotational symmetry shapes embedded within other shapes sum of internal angles of shapes Visualisations and representations 3D shapes from different viewpoints 2D shapes in different orientations Maths Quest for Queensland Book 1 Exercises and Investigations / Enrichment activities 11E Triangles (Q1-19) Properties of triangles 11F Quadrilaterals (Q1-18) Design for a front gate Constructing quadrilaterals 11G Polygons (Q1-7) In search of polygons Maths Quest for Queensland Book 2 Exercises and Investigations / Enrichment activities 11E Triangles (Q1-19) Sum of angles in a triangle Properties of triangles Sum of angles in a quadrilateral 11F Quadrilaterals (Q1-18) Design for a front gate 11G Polygons (Q1-7) In search of polygons 12A Symmetry (Q1-10) 12B Transformations (Q115) Braille Transformation design 12C Tessellations (Q1-11) Designing a paved outdoor area Tiling an area with tessellating patterns 12D Views of threedimensional shapes (Q1-8) 11E Triangles (Q1-19) Properties of triangles 11F Quadrilaterals (Q1-18) Design for a front gate 11G Polygons (Q1-7) In search of polygons Maths Quest for Queensland Book 3 Exercises and Investigations / Enrichment activities Lines and angles degrees intersecting lines diagonal lines perpendicular lines geometric tools o 360 degrees protractor o pair of compasses S 5.1 Students analyse the relationships between the properties of shapes, lines and angles to explain similarity and congruence and to create representations of geometric objects that satisfy design specifications. 3D shapes and objects and 2D shapes plans and elevations compound shapes embedded shapes Geometric terms and properties similarity similar shapes – reductions and enlargements scale plans congruence o symbol for labelling Visualisations and representations conventions for representing 3D shapes (perspective) sections and cross sections 11A Measuring and constructing angles with a protractor (Q1-7) Estimating the size of an angle 11B Classifying and naming angles (Q8-11) 11E Triangles (Q1-19) 11F Quadrilaterals (Q1-18) Design for a front gate Constructing quadrilaterals The Bicentennial symbol Painting cubes 11D Sketching and constructing twodimensional shapes (Q1-16) Fractals 12E Polyhedra, nets and Euler’s rule (Q1-13) Packaging and nets The net of a cube 11E Congruent figures (Q12) Congruent triangles 11F Similar figures (Q1-2) Similar triangles Parliamentary question time Tiling an area with tessellating patterns 12D Views of threedimensional shapes (Q9-13) Cross-sections of 3-D solids 7E Length, area and volume changes with dilations (Q1-3, 5) 11B Angles in a circle (Q3) Lines and angles external angles simple constructions using geometric tools o perpendicular line o angle of 60 degrees o bisect a line S 6.1 Students use deductive reasoning to generalise about the properties of shapes, lines and angles referring to relationships between these properties to justify arguments. 11D Constructing angles with a pair of compasses (Q1-8) Copying triangles 3D shapes and objects and 2D shapes generalisations relating to 2D shapes relationships between 2D and 3D shapes Geometric terms and properties general patterns of triangles, quadrilaterals, parallel and intersecting lines scale factor Visualisations and representations embedded shapes, lines and angles 11C Angle relationships (Q1-10) Lines and angles letter conventions angles produced when a transversal crosses parallel lines generalisations relating angles o vertically opposite o at a point o in a triangle o in a quadrilateral 11C Angle relationships (Q1-10) 11A Angle review (Q1-3) Angles in polygons 11B Exterior angles of a triangle (Q1-4) Exterior angles of a triangle Regular polygons Angle relationships with parallel lines Parallels, perpendiculars and skews Angles in polygons Cross-sections of 3-D solids The net of a cube 11A Angle review (Q4-11) 11B Exterior angles of a triangle (Q5-11) 11C Angles and parallel lines (Q1-14) 11A Angle review (Q4-11) 11B Exterior angles of a triangle (Q5-11) 11C Angles and parallel lines (Q1-14) 11E Congruent figures (Q38) 11F Similar figures (Q3-15) 11A Angle review (Q4-11) 11B Exterior angles of a triangle (Q5-11) 11C Angles and parallel lines (Q1-14) 11E Congruent figures (Q38) 11F Similar figures (Q3-15) Cat and mouse problem Constructing a tangent Angles in a circle Quadrilaterals in circles Chords and triangles in circles Chords and triangles in circles 7E Length, area and volume changes with dilations (Q1-3, 5) S DB 6.1 Students use deductive reasoning to establish theorems associated with circles and quadrilaterals. 11A Circles, chords and tangents (Q1-8) Angles in a circle 11B Angles in a circle (Q18) Quadrilaterals in circles 11C Cyclic quadrilaterals (Q1-5) How big is our Earth? Strand: Space Topic: Location, direction and movement Core Learning Outcome Core content S 4.2 Students interpret maps and plans with reference to conventions, describe the effects of changes in latitude and longitude and describe movements using compass points and distance. Location and movement conventions o simple scale on maps (linear form or 1 cm : 1 km) o coordinates grid references movement between grid reference points latitude and longitude o key lines of reference (prime meridian, equator) o polar limits plans Direction and angle eight compass points: N, NE, E, SE, S, SW, W, NW connection between the eight compass points and the amount of turn angle as a difference in direction estimation and measurement of angles in degrees Maths Quest for Queensland Book 1 Exercises and Investigations / Enrichment activities 12A Interpreting maps – scale (Q3, 5, 6, 9, 11-14) 12B Location on earth (Q3, 4) Parallels of latitude and meridians of longitude 12C Maps, bearings and plans (Q5a, b, 7, 9, 11, 13) Our national capital Suncorp stadium 12C Maps, bearings and plans (Q5a, b, 7, 9, 11, 13) The Bicentennial symbol Our national capital Maths Quest for Queensland Book 2 Exercises and Investigations / Enrichment activities Maths Quest for Queensland Book 3 Exercises and Investigations / Enrichment activities S 5.2 Students interpret maps and globes referring to latitude and longitude, interpret and describe plans that use scale and describe movements using compass bearings and distance. Location and movement conventions o scale on maps expressed as a simple ratio o coordinates latitude and longitude expressed in whole degrees location of points and places using latitude and longitude o distance and bearing maps o flat maps o globes simple floor plans with scale Direction and angle bearings in whole degrees (measured clockwise from North) estimation of bearings in degrees application of scales to maps to find actual distances 12A Interpreting maps – scale (Q1, 2, 4, 7, 8, 10) 12B Location on earth (Q1, 2) 12C Maps, bearings and plans (Q1-4, 5c, 6, 8, 10-22) Our national capital 12C Maps, bearings and plans (Q1-4, 5c, 6, 8, 10-22) Our national capital Steps and stairs S 6.2 Students identify lines of latitude and longitude to explain time differences between major locations, provide directions based on bearings and distance and interpret plans and maps using standard conventions. Location and movement conventions o scale on maps expressed as ratio o coordinates latitude and longitude expressed in degrees and parts of degrees latitude and longitude expressed in degrees and minutes o scale on floor plans expressed in millimetres maps o flat maps, including world, atlas, street directory, and orthophoto o globes key referents for international time zones o Greenwich Mean Time (GMT)/ or Universal Time Coordinates (UTC) o International Date Line link between longitude and time fractions of degrees expressed as minutes (mentally and on scientific calculators) distance and bearing Direction and angle maps (local environment) with a given scale navigational instructions based on distance and bearings (using protractors) 8F Time zones and flight schedules (Q1-23) Up, up and away! Designing a one-bedroom unit 8F Trigonometry and bearings (Q1-12) Which way do I go? 11D Great circles (Q1-10) SOS! How big is our Earth? Greenwich Mean Time Tourist attractions Four colour problem 8F Trigonometry and bearings (Q1-12) Which way do I go? S DB 6.2 Students analyse simple network diagrams to determine optimal pathways in a system. 12A What is a network? (Q1-10) 12B Basic properties of networks (Q1-13) Traversable or not traversable? 12C Application of networks to problem solving (Q1-2) How many paths in a network? 12D Paths and circuits – part I (Q1-8) 12E Paths and circuits – part II (Q1-7) Sprouts The bridge of Konigsberg 12F Networks and maps (Q1-5) Tourist attractions