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Work schedule for Maths Today – Grade 9 Term Week LOs & ASs Chapter Assessment Resources
1 1-2 LO1:
Numbers, operations and relationships
Chapter 1: Real numbers
Formal and informal assessment
Maths Today Grade 9 Learner's Book and Teacher's Guide Protractor Calculator Use of computer software for consolidation and extra challenges
1 3-5 LO2: Patterns, functions and algebra
Chapter 2: Number patterns
Formal and informal assessment
Maths Today Grade 9 Learner's Book and Teacher's Guide Paper with squares Paper with triangles Colour pencils, highlighters Access to computers for exploring patterns
1 6-8 LO2: Patterns, functions and algebra
Chapter 3: Graphs
Formal and informal assessment
Maths Today Grade 9 Learner's Book and Teacher's Guide Paper with squares, graph paper Measuring cylinders Marbles, golf balls Three rulers per pair of learners Coins Flat buttons of different diameters String, measuring tapes Masking tape
1 9-10 LO2: Patterns, functions and algebra
Chapter 4: Products and factors
Formal and informal assessment
Maths Today Grade 9 Learner's Book and Teacher's Guide
2 11-12 LO2: Patterns, functions and algebra
Chapter 5: Algebraic fractions
Formal and informal assessment
Maths Today Grade 9 Learner's Book and Teacher's Guide
2 13-14 LO2: Patterns, functions and algebra
Chapter 6: Equations
Formal and informal assessment
Maths Today Grade 9 Learner's Book and Teacher's Guide
2 15-16 LO3: Space and shape
Chapter 7: Transformations
Formal and informal assessment
Maths Today Grade 9 Learner's Book and Teacher's Guide Pencil and ruler Tracing paper Scissors Pair of compasses Protractor
3
17-18 LO3: Space and shape
Chapter 8: Geometric figures
Formal and informal assessment Test
Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Pencils, coloured pencils, crayons Felt pens, rulers White and coloured paper, thin card Tracing paper and pin Glue, scissors Compass, protractor Feathers, leaves, flowers
3 19-21 LO3: Space and shape
Chapter 9: Lines, angles and triangles
Formal and informal assessment
Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Pair of compasses, protractor, ruler Set square
3
3 22 LO3: Space
and shape
Chapter 10: Solids
Formal and informal assessment
Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Grid paper, graph paper Scissors, glue, tape, rulers Pencils, erasers Cardboard Matches, toothpicks Plasticine Isometric paper Access to Internet
4 23-24 LO 4: Measurement
Chapter 11: Measurement
Formal and informal assessment
Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Protractor Calculator
4 25-26 LO1: Numbers, operations and relationships
Chapter 12: Consumer maths
Formal and informal assessment
Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Graph paper Calculator Sharp pencil, ruler Newspapers Examples of a variety of insurance policy contract copies, claim forms and IRP5 forms Business magazines Copies of school’s budget Access to Internet Spokespeople from financial institutions
4 27-29 LO5: Data handling
Chapter 13: Statistics
Formal and informal assessment
Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Atlas Coloured pencils Protractor STATS SA information Internet websites
4 30-31 LO5: Data Handling
Chapter 14: Probability
Formal and informal assessment Test
Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks Four coins Packet of jelly beans Two dice
Note: You need to complete 3 formal assessment tasks per term for Maths in Grade 9. This work schedule shows all the opportunities for formal assessment
Describes and illustrates the historical development of number systems Recognises, uses and represents rational numbers Solves problems that involve ratio, rate and proportion Estimates and calculates by selecting and using operations Uses a range of techniques and tools Recognises, describes and uses the properties of rational numbers
Natural Sciences LO1 Economic and Management Sciences LO4 Technology LO1 Social Sciences (Geog) LO1
Content / Knowledge: • Describes and illustrates the historical development of number systems • Recognises, uses and represents rational numbers, equivalent forms • Solves ratio, rate and proportion problems • Estimates, calculates, selects and uses operations, judges reasonableness of results • Uses a range of techniques and tools, performs calculations • Recognises, describes and uses properties of rational numbers
Learning activities Teaching methods/approach Resources Lesson 1: Rational and irrational numbers LB p2 Division by 0
Activity 1a: (Baseline assessment) Identify rational and irrational numbers TG p2 Teach and work through examples TG p3
Lesson 2: History of rational and irrational numbers LB p3
Activity 1b: Find out about the history of numbers TG p4
Lesson 3: Equivalent forms of rational numbers LB p3 Recurring decimals LB p4
Teach and work through examples TG p4
Lesson 4: Converting decimal fractions to common fractions LB p5
Activity 1c: Convert between common fractions and decimal fractions TG p5
Lesson 5: Scientific notation: Write small numbers in scientific notation LB p6
Activity 2a: Write numbers in scientific and decimal notation TG p6
Lesson 6: Calculations with numbers in scientific notation LB p7
Activity 2b: Calculate with numbers in scientific notation TG p6
Lesson 7: Rational approximations of irrational numbers: Ratio, rate, direct and indirect proportion LB p9
Teach and work through examples TG p7 Activity 3a: Write rational approximations of irrational numbers TG p8
Lesson 8: Rational approximations of irrational numbers: Word problems LB p12
Maths Today Grade 9 Learner's Book and Teacher's Guide Protractor Calculator Use of computer software for consolidation and extra challenges
Assessment: Type of assessment: Formal assessment for Lessons 4, 6 and 9 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 3 LO1 for Lesson 4; rubric 3 LO1 for Lesson 6; memo (TG p10) for Lesson 9
Reinforcement: Revise, drill and consolidate with extra examples of new concepts introduced Use of computer software for consolidation and extra challenges Expanded opportunities: Use of computer software for consolidation and extra challenges Exploring old Olympiad papers Solving problems at higher cognitive levels
Investigates, in different ways, a variety of numeric and geometric patterns and relationships Represents and uses relationships between variables Constructs mathematical models Solves equations by inspection, trial-and-improvement or algebraic processes Determines, analyses and interprets
Natural Sciences LO1 Technology LO2 Economic and Management Sciences LO4 Social Sciences(Geog) LO1
generalizes relationships • Explains and justifies rules • Represents and uses relationships between variables, determines input and/or output values, represents
and uses verbal descriptions, flow diagrams, tables, formulae and equations • Constructs mathematical models • Solves equations by inspection, trial-and-improvement or algebraic processes, checks the solution by
substitution • Determines, analyses and interprets the equivalence of different descriptions, relationships, rules in, flow
diagrams, tables, equations or expressions, by graphs on the Cartesian plane Learning activities Teaching methods/approach Resources Lesson 1: Describing a number pattern LB p17
Activity 1a: (Baseline assessment) Revising number patterns TG p13
Lesson 2: Fractals LB p19 Activity 1b: Investigate patterns using the Sierpinski Carpet TG p14
Lesson 3: Number patterns around us LB p25
Activity 2: Calculating income tax TG p18
Lesson 4: Assessment LB p29
Assessment TG p20
Maths Today Grade 9 Learner's Book and Teacher's Guide Paper with squares Paper with triangles Coloured pencils Highlighters Access to computers for exploring patterns
Assessment: Type of assessment: Formal assessment for Lessons 3 and 4 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric TG p17 for Lesson 3; memo (TG p20) for Lesson 4
Reinforcement: Extra examples of new concepts introduced Use of computer software for consolidation and extra challenges Expanded opportunities: Use of computer software for consolidation and extra challenges Exploring old Olympiad papers Exploring websites for interesting patterns
Constructs mathematical models Draws graphs on the Cartesian plane for given equations Determines, analyses and interprets
LO3 Space and Shape
Uses various representational systems to describe position and movement between positions
Natural Sciences LO2 Technology LO1 Economic and Management Sciences LO1 Life Orientation LO1
Content / Knowledge: • Constructs mathematical models, describes and provides solutions to problems • Draws graphs on the Cartesian plane, determines equations or formulae, uses tables • Determines, analyses and interprets the equivalence of different descriptions / relationships / rules • Uses representational systems, describes position and movement between positions
Learning activities Teaching methods/approach Resources Lesson 1: References can be used to describe position LB p34
Activity 1a: (Baseline assessment) Find your position from a street map TG p24
Lesson 2: The Cartesian Plane LB p37
Activity 1b: Plot points on a Cartesian plane TG p25
Lesson 3: Draw graphs by plotting points LB p39
Activity 2a: Analyse a formula TG p26 Activity 2b: Relate side lengths to area and perimeter TG p27
Lesson 4: Explore straight-line graphs LB p44
Activity 3a: Explore the properties of straight-line graphs TG p32 Activity 3b: Reflecting on properties of straight-line graphs TG p34
Lesson 5: The gradient of a straight-line graph LB p48
Activity 4: Determine the gradient of straight-line graphs when the graph is given TG p36
Lesson 6: Explore the general properties of straight-line graphs in the context of mathematics LB p51
Activity 5: Draw straight-line graphs for given equations TG p37
Lesson 7: Use the properties of straight-line graphs to draw graphs LB p53
Activity 6: Draw straight-line graphs by using the y-intercept gradient method TG p39
Lesson 8: Use the x- and y-intercepts to draw straight-line graphs LB p55
Activity 7: Draw sketch graphs TG p41
Lesson 9: Assessment LB p57
Assessment TG p44
Maths Today Grade 9 Learner's Book and Teacher's Guide Paper with squares Graph paper Measuring cylinders Marbles Golf balls Three rulers per pair of learners Coins Flat buttons of different diameters String Measuring tapes Masking tape
Assessment: Type of assessment: Formal assessment for Lessons 7 and 9 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 3 LO2 for Lesson 7 Memo (TG p44) for Lesson 9
Reinforcement: Easier and extra examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Working with complex graphs
Uses the laws of exponents to simplify expressions and solve equations Uses the distributive law and manipulative skills developed in Grade 8
Natural Sciences LO2 Technology LO1 Economic and Management Sciences LO1 Life Orientation LO1
Content / Knowledge: • Uses the laws of exponents, simplifies expressions, solves equations • Uses the distributive law • Uses manipulative skills • Finds product of two binomials • Factorises algebraic expressions
Learning activities Teaching methods/approach Resources Lesson 1: Explore the properties and laws of exponents: The first law of exponents LB p62
Activity 1: (Baseline assessment) Use the first law of exponents to simplify expressions TG p47
Lesson 2: The second law of exponents LB p64
Activity 2: Investigate the quotient of numbers written in index form TG p48
Lesson 3: The third law of exponents LB p65
Activity 3: Use the third law of exponents to simplify expressions TG p48
Lesson 4: The fourth law of exponents LB p66
Activity 4: Use the fourth law of exponents to simplify expressions TG p49
Lesson 5: The product of a monomial and a polynomial LB p67
Activity 5: Practice writing the expansions of algebraic expressions TG p49
Lesson 6: The product of two binomials with unlike terms LB p69
Activity 6: Find the product of two binomials with unlike terms TG p50
Lesson 7: The product of two binomials with like terms LB p70
Activity 7: Find the product of two binomials with like terms TG p51
Lesson 8: The square of a binomial LB p71
Activity 8: Investigate the squares of binomials TG p52
Lesson 9: Products of the type (a + b)(a - b) LB p72
Activity 9: Investigate the products of the type (a + b)(a - b) TG p53
Lesson 10: Converting polynomials to product expressions LB p73
Activity 10: Find the factors of a polynomial TG p54 Activity 11: Factorise algebraic expressions (Common factors) TG p54
Lesson 11: The difference of two squares LB p75
Activity 12: Factorise the difference of two squares TG p55
Lesson 12: Assessment LB p76
Assessment TG p56
Maths Today Grade 9 Learner's Book and Teacher's Guide
Assessment: Type of assessment: Formal assessment for Lessons 5, 11 and 12 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 5 LO2 for Lesson 5, Rubric 2 LO3 for Lesson 11, Memo TG p56 for Lesson 12
Reinforcement: Easier examples of new concepts Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working with complicated polynomials.
Recognises, uses and represents rational numbers Recognises, describes and uses the properties of rational numbers
LO2: Patterns, functions and algebra
Uses a range of techniques and tools (including technology) to perform calculations efficiently and to the required degree of accuracy Uses factorisation to simplify algebraic expressions and solve equations
Natural Sciences LO2 Technology LO1 Life Orientation LO1 Economic and Management Sciences LO1
Content / Knowledge: • Recognises, uses and represents rational numbers, moves flexibly between equivalent forms • Recognises, describes and uses the properties of rational number • Uses techniques, tools and technology for calculations • Uses laws and meanings of exponents • Uses factorization, simplifies algebraic expressions, solves equations
Activity 1: (Baseline assessment) To simplify fractions TG p59 Activity 2: Simplify fractions that include numbers written in exponent notation TG p59
Lesson 2: The meaning of a0 LB p80
Activity 3a: Explore the meaning of zero as an exponent TG p60
Lesson 3: Negative exponents LB p81
Activity 3b: Explore the meaning of negative exponents TG p61
Lesson 4: Simplify algebraic fractions LB p82
Activity 4: Simplify algebraic fractions TG p61
Lesson 5: Simplify algebraic expressions by factorisation LB p83
Activity 5: Simplify algebraic expressions by factorisation TG p62
Lesson 6: Multiplication and division of fractions LB p84
Activity 6: Multiplication and division of fractions TG p63
Lesson 7: Addition and subtraction of fractions LB p85
Activity 7: Practice addition and subtracting of algebraic fractions TG p63
Lesson 12: Assessment LB p87
Assessment TG p64
Maths Today Grade 9 Learner's Book and Teacher's Guide Workbooks
Assessment: Type of assessment: Formal assessment for Lessons 4 and 12 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 5 LO2 for Lesson 4 Memo (TG p64) for Lesson 12
Reinforcement: Easier and lots of extra examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Working with complicated polynomials.
Estimates and calculates by selecting and using operations appropriate to solving problems and judging the reasonableness of results
LO2: Patterns, functions and algebra
Represents and uses relationships between variables Constructs mathematical models Solves equations Determines, analyses and interprets the equivalence
Natural Sciences LO1 Technology LO1 Economic and Management Sciences LO4
Lesson 6: Equations involving more complicated fractions LB p98
Activity 5: Solve more complicated equations that involve fractions TG p72
Lesson 7: The difference between simplifying algebraic fractions and solving equations with fractions LB p100
Activity 6: Interpret algebraic expressions and equations TG p73
Lesson 8: Construct equations for number problems LB p101
Activity 7: Translate word problems into algebraic language TG p74
Lesson 9: Use equations as mathematical models to solve problems LB p102
Activity 8: Use equations as mathematical models to solve problems TG p75
Lesson 10: Assessment LB p105
Assessment TG p76
Maths Today Grade 9 Learner's Book and Teacher's Guide
Assessment: Type of assessment: Formal assessment for Lessons 5 and 10 Informal assessment all other activities can be used for informal assessment Form of assessment: Rubric 5 LO2 for Lesson 5 Memo (TG p76) for Lesson 10
Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Engaging in complicated problem solving
Describes the interrelationships of the properties of geometric figures and solids with justification Uses geometry of straight lines and triangles to solve problems Uses transformations, congruence and similarity Uses various representational systems
Technology LO1 Arts and Culture LO1
Content / Knowledge: • Describes interrelationships of the properties of geometric figures and solids • Describes congruence, describes straight line geometry, describes transformations • Uses geometry of straight lines and triangles to solve problems • Uses transformations, congruence and similarity to investigate, describe and justify • Uses representational systems to describe position and movement between positions • Uses ordered grids • Uses Cartesian plane • Uses compass directions • Uses angles of elevation and depression
Learning activities Teaching methods/approach Resources Lesson 1: The four kinds of transformations LB p108
Teach reflection, rotation, translation and enlargement and work through examples TG p78
Lesson 2: Properties of transformations: Reflection LB p109
Teach and work through examples TG p78
Lesson 3: Properties of transformations: Rotation LB p110
Teach and work through examples TG p78
Lesson 4: Properties of transformations: Translation LB p111
Teach and work through examples TG p79
Lesson 5: Enlargement LB p115 Properties of enlargement LB 116 Find the centre of enlargement LB p116 Calculate the scale factor LB 117 Negative scale factors LB 117
Teach and work through examples TG p80 Activity 1: (Baseline assessment) Draw enlargements of a given figure TG p80
Lesson 6: Combined transformations LB p121
Activity 2: Investigate the effect of combined transformations TG p82
Lesson 7: Assessment LB p125
Assessment TG p87
Maths Today Grade 9 Learner's Book and Teacher's Guide Pencil and ruler Tracing paper Scissors Pair of compasses Protractor
Assessment: Type of assessment: Formal assessment for Lessons 6 and 7 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 2 LO3 for Lesson 6 Memo (TG p87) for Lesson 7
Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated transformations
Recognises, visualises and names geometric figures and solids In contexts describes the interrelationships of the properties Uses geometry of straight lines and triangles to solve problems Draws and/or constructs geometric figures and makes models of solids Uses transformations, congruence and similarity Recognises and describes geometric solids
Technology LO1 Arts and Culture LO1 Natural Sciences LO3
Content / Knowledge: • Recognises, visualises and names regular and irregular polygons and polyhedra, spheres, cylinders • Describes properties of geometric figures and solids • Describes congruence, straight line geometry, transformations • Uses geometry of straight lines and triangles • Draws and/or constructs geometric figures • Makes models of solids, investigates and compares properties and models situations • Uses transformations, congruence and similarity • Investigates, describes and justifies properties of geometric figures and solids • Tests for similarity and congruence of triangles • Recognises and describes geometric solids • Simple perspective drawing
Activity 1c: Construct your own golden rectangle TG p93 Teach and work through the example TG p94
Lesson 4: More about polygons LB p137
Teach and work through examples TG p94
Lesson 5: Angles of regular polygons LB p138
Activity 1d: Determine the sum of the interior angles of a regular pentagon TG p95 Activity 1e: Find the sum of the exterior angles of a polygon TG p97
Lesson 6: Constructing regular polygons LB p141
Activity 1f: Constructing regular polygons TG p99
Lesson 7: Use transformations to investigate properties of polygons: Line symmetry LB p144 Rotational symmetry LB p144
Activity 2a: Investigate the symmetrical properties of polygons TG p102
Lesson 8: Sides and angles of polygons LB p146
Activity 2b: Investigate the properties of quadrilaterals TG p104 Activity 2c: Use the properties of quadrilaterals to identify them TG p105
Lesson 9: Congruency and similarity LB p150
Activity 3a: Find out if the given geometric figures are congruent TG p108 Activity 3b: Find out if the given geometric figures are similar TG p108
Lesson 10: Assessment LB p157
Assessment TG p112
Maths Today Grade 9 Learner's Book and Teacher's Guide Pencils Coloured pencils Crayons Felt pens Rulers White and coloured paper or thin card Tracing paper and pin Glue Scissors Compass Protractor Feathers Leaves Flowers
11
Assessment: Type of assessment: Formal assessment for Lessons 7 and 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 1 LO3 for Lesson 7 Memo (TG p112) for Lesson 10
Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated polygons
Teacher reflection:
12
LESSON PLANS – Grade 9 Chapter 9: Lines, angles and triangles Learning Areas: Maths Grade: 9 Duration: 15 hours Weeks: 19-21 Learning Outcome Assessment Standards Integration LO3: Space and shape
Recognises, visualises and names geometric figures and solids Uses geometry of straight lines and triangles to solve problems Uses transformations, congruence and similarity to investigate, describe and justify relationships
Technology LO1 Arts and Culture LO1
Content / Knowledge: • Recognises, visualises and names regular and irregular polygons, polyhedra, spheres, cylinders • Uses geometry of straight lines and triangles • Solves problems, justifies relationships • Uses transformations, congruence and similarity • Investigates, describes and justifies properties of geometric figures and solids • Tests for similarity and congruence of triangles
Learning activities Teaching methods/approach Resources Lesson 1: Calculate the sizes of angles LB p159
Teach and work through examples TG p115
Lesson 2: Different types of triangles LB p161
Activity 1: (Baseline assessment) Find angle relationships for triangles and lines TG p116
Lesson 3: Parallel lines LB p165
Activity 2: Work with alternate, corresponding and co-interior angles TG p118
Lesson 4: Similar triangles LB p170
Activity 3a: Explore the relation between the two conditions for similarity TG p121 Activity 3b: Identify similar triangles TG p122
Lesson 6: Congruent triangles Use transformations to confirm congruency LB p182 Use congruency to calculate missing values LB p183
Teach and work through examples TG p126
Lesson 7: Angles of elevation and depression LB p186
Teach and work through example TG p127 – 131
Lesson 8: Assessment LB p188
Assessment TG p131
Maths Today Grade 9 Learner's Book and Teacher's Guide Pair of compasses Protractor Ruler Set square
Assessment: Type of assessment: Formal assessment for Lessons 4 and 8 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 1 LO3 for Lesson 4 Memo (TG p131) for Lesson 8
Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Working with complicated examples
Recognises, visualises and names geometric figures and solids In context describes the interrelationships of the properties Draws and/or constructs geometric figures and makes models of solids Uses transformations, congruence and similarity Recognises and describes geometric solids
Technology LO1 Arts and Culture LO1 Natural Sciences LO1
Content / Knowledge: • Recognises, visualises and names regular and irregular polygons, polyhedra, spheres, cylinders • Describes the interrelationships of the properties of geometric figures and solids, justification with
congruence and straight line geometry, transformations • Draws and/or constructs geometric figures and makes models of solids, compares their properties, models
situations • Uses transformations, congruence and similarity to investigate, describe and justify • Recognises and describes geometric solids, simple perspective drawing
Teach and work through examples TG p149 Activity 6a: Do calculations from drawings TG p150
Lesson 7: Isometric drawing LB p218
Activity 6b: Exploring projections of 3-D shapes TG p151
Lesson 8: Diagonals of polyhedrons LB p219
Teach and work through examples TG p153
Lesson 10: Assessment LB p221
Assessment TG p153
Maths Today Grade 9 Learner's Book and Teacher's Guide Grid paper Graph paper Scissors Glue Tape Rulers Pencils Erasers Cardboard Matches Toothpicks Plasticine Isometric paper Access to Internet
Assessment: Type of assessment: Formal assessment for Lessons 3, 7 and 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 2 LO3 for Lesson 3 Rubric 1 LO3 for Lesson 7 Memo (TG p153) for Lesson 10
Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated polyhedrons, isometric drawings, floor plans of buildings
Solves ratio and rate problems involving time, distance and speed. Solves problems involving known geometric figures and solids Describes and illustrates the development of measuring instruments Uses the Theorem of Pythagoras to solve problems
Technology LO1 Social Sciences(Geog) LO3 Life Orientation LO1, 4 Economic and Management Sciences LO4
Content / Knowledge: • Solves ratio and rate problems • Solves time, distance and speed problems • Solves problems involving known geometric figures and solids • Measures precisely, selects measuring instruments • Estimates and calculates with precision, selects and uses appropriate formulae and measurements • Describes and illustrates the development of measuring instruments • Uses the Theorem of Pythagoras to solve problems
Learning activities Teaching methods/approach Resources Lesson 1: Measuring instruments and measuring units LB p223 Length and perimeter LB p224
Activity 1a: (Baseline assessment) Measure and calculate with length TG p157
Lesson 2: Theorem of Pythagoras LB p225
Activity 1b: Apply the Theorem of Pythagoras to calculate missing lengths TG p158
Lesson 3: Area LB p228
Teach and work through examples TG p159 Activity 2: Construct polygons with given areas TG p160
Lesson 4: Volume and capacity LB p233
Activity 3: Calculate the volume of air in a building TG p162
Lesson 5: Ratio and rate problems LB p236
Activity 4a: Calculate the number of calories in a diet TG p163
Lesson 6: Convert between imperial and metric units LB p238
Activity 4b: Convert between imperial and metric units TG p163
Lesson 7: Watering the garden LB p239 How many sprinklers? LB p240
Activity 4c: Calculate the flow rate of a tap TG p164 Activity 4d: Calculate the number of sprinklers in a water line TG p165
Lesson 8: Measurement in sport LB p241 Anaerobic fitness LB p242 Speed test LB p242 Muscle endurance LB p242 Flexibility test LB p242
Activity 4e: Test your fitness level TG p165 Teach and work through examples TG p166
Lesson 9: Problems involving time, distance and speed LB p243
Activity 4f: Calculations involving time, distance and speed TG p166
Lesson 10: Assessment LB p247
Assessment TG p167
Maths Today Grade 9 Learner's Book and Teacher's Guide Protractor Calculator
Assessment: Type of assessment: Formal assessment for Lessons 1, 4 and 10 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 1 LO4 for Lesson 1 Rubric 1LO4 for Lesson 4 Memo (TG p167) for Lesson 10
Reinforcement: Easier and extra examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated calculations
Lesson 2: Lending and borrowing money: Compound interest LB p249
Activity 1: (Baseline assessment) Investigate compound interest TG p169 Activity 2: Borrowing large amounts of money TG p170
Lesson 3: Compound interest LB p253 Using the formula LB p254
Activity 3: Find a formula to calculate compound interest TG p171
Lesson 4: Budgeting LB p255 Government budgets LB p256
Activity 4: Thinking about a budget TG p174 Activity 5a: Work with government budgets TG p174
Lesson 5: Budgeting LB p255 Activity 5b: Different methods of buying TG p175 Lesson 6: Bank charges LB p259 Inflation LB p261
Teach and work through examples TG p175
Lesson 7: Taxation LB p261 Teach and work through examples TG p176 Lesson 8: More mathematics in everyday living LB p264
Teach and work through examples TG p177
Lesson 9: Assessment LB p266
Assessment TG p178
Maths Today Grade 9 Learner's Book and Teacher's Guide Graph paper Calculator Sharp pencil Ruler Calculators Newspapers Examples of a variety of insurance policy contract copies Example of claim forms IRP 5 forms Business magazines Copies of school’s budget Access to Internet Spokespeople from financial institutions
Assessment: Type of assessment: Formal assessment for Lessons 4 and 9 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 2 LO5 for Lesson 4 Memo (TG p178) for Lesson 9
Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated calculations
Organises numerical data in different ways in order to summarise Draws a variety of graphs by hand/technology to display and interpret data Critically reads and interprets data with awareness for sources of error, and manipulation to draw conclusions and make predictions
Technology LO1, 3 Natural Sciences LO1 Economic and Management Sciences LO4 Social Sciences (Geog) LO3 Life Orientation LO1, 2
Content / Knowledge: • Organises numerical data in different ways, in order to summarise, determine measures of central
tendency / dispersion • Draws a variety of graphs by hand / technology • Draws bar graphs and double bar graphs, histograms with given and own intervals, pie charts, line and
broken line graphs, scatter plots • Critically reads and interprets data
Learning activities Teaching methods/approach Resources Lesson 1: Measures of central tendency LB p268
Activity 1: (Baseline assessment) Calculate the mean, median and mode of data TG p181
Lesson 2: Measures of dispersion LB p271
Activity 2: Calculate the range and interquartile range TG p182
Lesson 3: Statistical graphs: Bar graphs, double bar graphs and histograms LB p272
Activity 3: Interpret data displayed in bar graphs TG p183
Lesson 4: Statistical graphs: Pie charts LB p275
Activity 4: Interpret data displayed in a pie chart TG p186
Lesson 5: Statistical graphs: Line and broken-line LB p276
Activity 5: Interpret data displayed in broken-line graphs TG p187
Lesson 6: Scatter plots LB p279
Activity 6: Interpret data displayed in scatter plots TG p190
Lesson 7: Misleading statistics LB p280
Activity 7: Critically read and interpret data TG p191
Lesson 8: Assessment LB p284
Assessment TG p192
Maths Today Grade 9 Learner's Book and Teacher's Guide Atlas Coloured pencils Protractor STATS SA information Internet websites
Assessment: Type of assessment: Formal assessment for Lesson 3, 7 and 8
Informal assessment: all other activities can be used for informal assessment
Form of assessment: Rubric 2 LO5 for Lesson 3 Rubric 3 LO 5 for Lesson 7 Memo (TG p192) for Lesson 8
Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated calculations
Considers situations with equally probable outcomes Economic and Management Sciences LO4 Technology LO1, 3 Natural Sciences LO1 Life Orientation LO1, 2 Social Sciences (Geog) LO3
Content / Knowledge: • Considers probable outcomes, determines probabilities • Determines outcomes of events, predicts relative frequency in simple experiments • Discusses differences between the probability of outcomes and their relative frequency
Activity 2: Count sweets to calculate the probability for outcomes of events TG p196
Lesson 3: Table to calculate probability LB p289
Activity 3: Use tables to calculate probability TG p197
Lesson 4: Tree diagrams LB p290
Activity 4: Using tree diagrams to calculate probability TG p198
Lesson 5: Assessment LB p292
Assessment TG p192
Mathematics today Grade 9 Learner's Book and Teacher's Guide Four coins Packet of jelly beans Two dice
Assessment: Type of assessment: Formal assessment for Lessons 2 and 5 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 3 LO5 for Lesson 2 Memo (TG p192) for Lesson 5 Piece of paper Colour crayons Koki pens Access to the Internet or library
Reinforcement: Easier examples of new concepts introduced Use of computer software for consolidation Expanded opportunities: Use of computer software for consolidation and extra challenges Working from a variety of resources Engaging in complicated calculations