# Senior Phase Grade 8 Today Planning Pack MATHEMATICS

Size: px
Start display at page:

Transcription

1 M Senior Phase Grade 8 Today Planning Pack MATHEMATICS Contents: Work Schedule: Page Grade 8 2 Lesson Plans: Grade 8 4 Rubrics: Rubric 1: Recognising, classifying and representing numbers...22 Rubric 2: Applications of numbers to problems..23 Rubric 3: Calculations types involving numbers.24 Rubric 4: Properties of numbers 25 LO2 Rubric 1: Patterns 26 LO2 Rubric 2: Equations.27 LO2 Rubric 3: Graphs 28 LO2 Rubric 4: Equivalent representations. 29 LO2 Rubric 5: Algebraic Conventions (Grades 8 & 9 only)...30 LO3 Rubric 1: Shapes and objects 31 LO3 Rubric 2: Transformations, congruence and similarity..32 LO3 Rubric 3: Position 33 LO3 Rubric 4: Straight Line Geometry (Grades 8 & 9 only)..34 LO4 Rubric 1: Measurement..35 LO5 Rubric 1: Collecting and organising data..36 LO5 Rubric 2: Representing and Interpreting data..37 LO5 Rubric 3: Probability.38

4 LESSON PLANS Grade 8 Chapter 1: Whole numbers Learning Areas: Maths Grade: 8 Duration: 15 hours Weeks: 1 3 Learning Outcome Assessment Standards Integration : Numbers, operations and relationships Describes and illustrates the historical and cultural development of numbers Recognises, classifies and represents numbers Uses a range of techniques to perform calculations Uses a range of strategies to check solutions Natural Sciences Economic and Management Sciences LO3 Content / Knowledge: Describe historical numbers, illustrate historic numbers Recognise, classify, represent, compare multiples and factors Use techniques to calculations; use calculator, use number properties Check solutions Order of operations Applying properties Calculators Learning activities Teaching methods/approach Resources Lesson 1: Historical development of numbers LB p1 Egyptian number system LB p1 Roman number system LB p2 Lesson 2: Multiples of whole numbers LB p4 Factors of whole numbers LB p4 Prime factors LB 6 Lesson 3: Computation with whole numbers LB p8 Rounding off numbers LB p8 Checking answers LB p9 Mental arithmetic LB p10 Pen-and-paper methods LB p10 Addition and subtraction LB p10 Multiplication and division LB p11 Lesson 4: Use of brackets LB p13 Lesson 5: Order of operations LB p14 Lesson 6: Properties of operations LB p15 Lesson 7: Using a calculator LB p18 Lesson 9: Assessment LB p21 Assessment: Type of assessment: Formal assessment for Lessons 3 and 9 Informal assessment all other activities can be used for informal assessment Form of assessment: Rubric 3 for Lesson 3; memo (TG p53) for Lesson 9 Teacher reflection: Activity 1a: Using hieroglyphs TG p42 Activity 1b: Using Roman and Hindu-Arabic numerals TG p42 Activity 2a: Identifying prime numbers TG p43 Activity 2b: Identifying mystery numbers TG p44 Activity 2c: Calculating prime factors TG p45 Activity 2d: Investigating perfect numbers and friendly numbers TG p45 Activity 3a: Discussing computational needs TG p46 Activity 3b: Using mental arithmetic TG p47 Activity 3c: Adding and subtracting TG p47 Activity 4: Multiplying and dividing TG p49 Activity 5a: Using brackets in calculations TG p49 Activity 5b: Applying order of operations TG p50 Activity 5c: Applying the properties of operations TG p51 Activity 6: Investigating the functions of your calculator TG p51 Assessment TG p54 Maths Today Grade 8 Learner's Book and Teacher's Guide Number chart Number lines Number cards Calculator for checking answers and doing computations Access to Internet for research Use of computer software for consolidation and extra challenges 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 Engaging in complicated Maths games 4

5 LESSON PLANS Grade 8 Chapter 2: Powers and roots Learning Areas: Maths Grade: 7 Duration: 10 hours Weeks: 4 5 Learning Outcome Assessment Standards Integration : Numbers, operations and relationships Recognises, classifies and represents the following numbers Estimates and calculates by selecting and using appropriate operations Uses a range of techniques to perform calculations Natural Sciences Technology LO2 Economic and Management Sciences LO3 Content / Knowledge: Recognise, classify, represent numbers, exponents, squares, roots, cubes Use a calculator Problem solving Check and judge answers Learning activities Teaching methods/approach Resources Lesson 1: Working with powers LB p22 Lesson 2: Working with roots LB p24 Lesson 3: Working with large numbers LB p27 Lesson 4: Assessment Assessment Task 2: LB p30 Assessment: Type of assessment: Formal assessment for Lessons 2 and 4 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 2 LO2 for Lesson 2; memo (TG p59) for Lesson 4 Teacher reflection: Activity 1a: Working out the values of power expressions TG p56 Activity 1b: Calculating square roots and cube roots TG p56 Activity 1c: Working out powers and roots TG p57 Activity 2a: Exploring distances between the planets and the sun TG p57 Activity 2b: Using large numbers in trade and industry TG p58 Assessment Task 2: Memo TG p59 Maths Today Grade 8 Learner's Book and Teacher's Guide Number lines Number cards Scientific calculator to do calculations and for checking answers 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 Engaging in complicated Maths games 5

7 Lesson 11 Percentage increase and decrease LB p46 Lesson 12 Ratio and rate LB p48 Lesson 13 Assessment: Assessment Task 3 LB p52 Assessment: Type of assessment: Formal assessment for Lessons 6, 7and 13 Informal assessment: all other activities can be used for informal assessment Activity 4c: Working with percentage increases and decreases TG p69 Activity 5: Solving problems involving ratio and rate TG p70 Assessment Task 3 Memo TG p71 Form of assessment: Rubric 3 for Lesson 6; rubric 3 for Lesson 7; Memo (TG p71) for Lesson 13 Teacher reflection: 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 Engaging in complicated Mathematical problem solving 7

8 LESSON PLANS Grade 8 Chapter 4: Integers Learning Areas: Maths Grade: 7 Duration: 5 hours Week: 9 Learning Outcome Assessment Standards Integration : Numbers, operations and relationships Recognises, classifies and represents the following numbers Estimates and calculates by selecting and using appropriate operations Natural Sciences Social Sciences Content / Knowledge: Recognise, classify and represent integers Estimation Calculations Rational numbers Learning activities Teaching methods/approach Resources Lesson 1: Representing and ordering integers LB p53 Lesson 2: Addition and multiplication LB p54 Lesson 3: Multiplying two negative numbers LB p55 Lesson 4: Subtraction LB p56 Lesson 5: Division LB p59 Lesson 6: Assessment LB p62 Assessment: Types of assessment: Formal assessment for Lessons 4 and 6 Informal assessment: all other activities can be used for informal activities Activity1a: Working with integers TG p73 Activity 1b: Working with additive inverses TG p73 Activity 1c: Investigating the products of negative numbers TG p74 Activity 2a: Subtracting integers TG p75 Activity 2b: Using integers in magic squares TG p76 Activity 3: Dividing with integers TG p77 Self-assessment rubric discussion TG p78 Maths Today Grade 8 Learner's Book and Teacher's Guide Wall charts Number cards Number line (positive and negative integers) Calculator to do calculations and for checking answers Reinforcement: Revise concept from Grade 7 Extra examples of new concepts introduced Use of computer software for consolidation and extra challenges Form of assessment: Rubric 4, LO2 for Lesson 4; memo (TG p78) for Lesson 6 Teacher reflection: Expanded opportunities: Use of computer software for consolidation and extra challenges Exploring old Olympiad papers Engaging in mathematical problem solving Working in higher number ranges 8

9 LESSON PLANS Grade 8 Chapter 5: Number patterns, generalisations and relationships Learning Areas: Maths Grade: 8 Duration: 15 hours Weeks: Learning Outcome Assessment Standards Integration LO2: Patterns, functions and algebra Investigates and extends numeric and geometric patterns Describes, explains and justifies observed relationships or rules Represents and uses relationships between Constructs mathematical models Determines, analyses and interprets Natural Sciences Technology LO2 Arts and Culture Economic and Management Sciences LO3 Content / Knowledge: Investigate and extend numeric and geometric patterns, Look for relationships, rules, patterns in physical / diagrammatic form Create own patterns Represent relationships in tables, algebraically Describe, explain and justify relationships Represent and use relationships between variables Construct mathematical models Learning activities Teaching methods/approach Resources Lesson 1: Describing a number pattern LB p64 Lesson 2: Number patterns everywhere around us LB p70 Lesson 3: Assessment LB p76 Assessment: Type of assessment: Formal assessment for Lessons 1 and 3 Informal assessment: all other activities can be used for informal assessment Activity 1a: Describing number patterns TG p80 Activity 1b: Identifying number patterns in a number block TG p81 Activity 1c: Investigating the relationship between two variables TG p84 Activity 2: Calculating the cost of drilling a borehole TG p85 Assessment activity Memo TG p88 Form of assessment: Rubric 4 for Lesson 1; memo (TG p88) for Lesson 3 Teacher reflection: Maths Today Grade 8 Learner's Book and Teacher's Guide Number cards Calculator for checking answers Reinforcement: Investigates and extends numeric and geometric patterns, looks for relationship, rules, patterns of easy patterns and in lower number ranges 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 Engaging in mathematical problem solving Working in higher number ranges and complicated patterns Finding mathematical websites 9

10 LESSON PLANS Grade 8 Chapter 6: Introduction to algebra Learning Areas: Maths Grade: 8 Duration: 15 hours Weeks: Learning Outcome Assessment Standards Integration LO2: Patterns, functions and algebra Represents and uses relationships between variables Constructs mathematical models Solves equations Uses conventions of algebraic notation Interprets and uses basic algebraic vocabulary in context Natural Sciences LO2 Content / Knowledge: Represent, use relationships between variables Determine input and/or output values Use verbal descriptions, flow diagrams, tables, formulae, equations and expressions Construct mathematical models Solve equations Use conventions of algebraic notation and Math laws Interpret and use basic algebraic vocabulary Learning activities Teaching methods/approach Resources Lesson 1: Algebraic expressions LB p78 Lesson 2: Input and output values LB p79 Lesson 3: Index notation LB p81 Lesson 4: Classifying algebraic expressions LB p83 Lesson 5: Substitution LB p86 Lesson 6: Addition and subtraction: Addition and subtraction of terms LB p87 Lesson 7: Addition and subtraction of algebraic expressions LB p89 Lesson 8: Multiplication and division: Multiplication of algebraic terms LB p91 Multiplication of algebraic expressions LB p92 Lesson 9: Algebraic fractions LB p94 Lesson 10: Division of a polynomial by a monomial LB p96 Lesson 11: Assessment LB p98 Assessment: Type of assessment: Formal assessment for Lessons 7, 8 and 11 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 1 LO2 for Lesson 7; rubric 2 LO2 for Lesson 8; memo (TG p102) for Lesson 11 Teacher reflection: Activity 1a: Writing algebraic expressions in a shorter form TG p91 Activity 1b: Calculating input and output values TG p92 Activity 1c: Translating instructions into algebraic expressions TG p92 Activity 2: Exploring index notation TG p94 Activity 3a: Classifying algebraic expressions TG p95 Activity 3b: Working with algebraic expressions TG p95 Activity 4: Using substitution to find values of expressions TG p96 Activity 5: Investigating addition and subtraction of algebraic terms TG p97 Activity 6: Adding and subtracting algebraic expressions TG p98 Activity 7: Multiplying algebraic expressions TG p99 Activity 8: Simplifying algebraic fractions TG p100 Activity 9: Dividing a polynomial by a monomial TG p101 Self-assessment rubric discussion TG p102 Maths Today Grade 8 Learner's Book and Teacher's Guide Calculator for checking answers where applicable Reinforcement: Extra examples of new concepts introduced Group work for consolidation purposes Use of computer software for consolidation and extra challenges Expanded opportunities: Use of computer software for consolidation and extra challenges Exploring old Olympiad papers Working with complicated polynomials 10

11 LESSON PLANS Grade 8 Chapter 7: Graphs Learning Areas: Maths Grade: 8 Duration: 10 hours Weeks: Learning Outcome Assessment Standards Integration LO2: Patterns, functions and algebra Describes, explains and justifies observed relationships or rules Represents and uses relationships between variables Constructs mathematical models Describes a situation by interpreting a graph Economic and Management Sciences LO3 Technology Natural Sciences LO2 Languages LO4 Social Sciences (Geography) Content / Knowledge: Describe, explain and justify relationships Represent and use relationships between variables Determine input and/or output values Construct mathematical models Represent, describe and provide solutions to problem situations Describe a situation by interpreting a graph Draw graph from a description Learning activities Teaching methods/approach Resources Lesson 1: Independent and dependent variables LB p99 Relationship between variables LB p100 Lesson 2: Relationship between variables: Selecting a graph that describes the situation LB p101 Lesson 3: Relationship between variables: Reading information from a graph LB p104 Lesson 4: Relationship between time and distance LB p106 Lesson 5: Graphs representing stop-go situations LB p107 Lesson 6: Assessment LB p112 Assessment: Types of assessment: Formal assessment for Lessons 2, 3 and 6 Informal assessment: all other activities can be used for informal assessment Activity 1a: Distinguishing between independent and dependent variables TG p105 Activity 1b: Selecting a graph that describes a situation TG p105 Activity 2: Reading information from a graph TG p108 Activity 3a: Identifying the relationship between time and distance TG p109 Activity 3b: Interpreting a graph representing a stopgo situation TG p110 Self-assessment rubric discussion TG p113 Form of assessment: Rubric 3 LO2 for Lesson 2 and Lesson 3; rubric (LB p112) for Lesson 6 Teacher reflection: Maths Today Grade 8 Learner's Book and Teacher's Guide Graph paper Reinforcement: Revise basic concepts Extra examples of new concepts introduced Expanded opportunities: Examples with more complicated data 11

13 Lesson 12: Construction techniques: Constructing a perpendicular from a point on a line LB p135 Lesson 13: Construction techniques: Draw a line parallel to a given line LB p136 Lesson 14: Construction techniques: Constructing a kite LB p139 Lesson 15: Assessment LB p140 Assessment: Type of assessment: Formal assessment for Lessons 4, 7 and 15 Informal assessment: all other activities can be used for informal assessment Demonstrate and learners work individually TG p123 Demonstrate and learners work individually TG p123 Activity 5c: Constructing a kite TG p123 Self-assessment rubric discussion TG p124 Reinforcement: Revise properties and demonstrate with concrete apparatus Use of computer software for consolidation and extra challenges Form of assessment: Rubric 4 LO3 for Lesson 4; rubric 1 LO3 for Lesson 7; memo (TG p124) for Lesson 15 Teacher reflection: Expanded opportunities: Use of computer software for consolidation and extra challenges 13

14 LESSON PLANS Grade 8 Chapter 9: Transformations Learning Areas: Maths Grade: 8 Duration: 15 hours Weeks: Learning Outcome Assessment Standards Integration LO3: Space and shape Uses transformations and symmetry to investigate properties Uses proportion to describe the effect of enlargement and reduction Locates positions on coordinate systems Technology Arts and Culture Social Sciences (Geography) LO2 Content / Knowledge: Use transformations Use symmetry Use proportion Describe effect of enlargement and reduction Locate positions on coordinate systems Learning activities Teaching methods/approach Resources Lesson 1: Reflection LB p141 Lesson 2: Rotation LB p145 Lesson 3: Rotational symmetry LB p147 Lesson 4: Translation LB p150 Locating position LB p150 Lesson 5: Enlargement LB p154 Drawing enlargements LB p155 Lesson 6: Assessment LB p157 Assessment TG p136 Assessment: Types of assessment: Formal assessment for Lessons 3, 4 and 6 Informal assessment all other activities can be used for informal assessment Form of assessment: Rubric 1 LO3 for Lesson 3; rubric 3 LO3 for Lesson 4; memo (TG p136) for Lesson 6 Teacher reflection: Activity 1: Reflecting figures TG p125 Activity 2: Using tracing paper to do rotations TG p128 Activity 3: Classifying 2-D figures TG p129 Activity 4a: Describe movement between points in a Cartesian Plane TG p131 Activity 4b: Translating figures TG p132 Activity 5a: Enlarging with a scale factor greater than one TG p134 Activity 5b: Enlarging with a scale factor smaller than one TG p134 Maths Today Grade 8 Learner's Book and Teacher's Guide Tracing paper Reinforcement: Extra examples of the new concepts introduced Expanded opportunities: Transformations with variety of shapes Enlargement with higher scale factors 14

15 LESSON PLANS Grade 8 Chapter 10: Geometric solids Learning Areas: Maths Grade: 8 Duration: 10 hours Weeks: Learning Outcome Assessment Standards Integration LO3: Space and shape Recognises, visualises and names geometric figures and solids Designs and uses nets to make models of geometric solids Draws and interprets sketches of geometric solids Technology Arts and Culture Natural Sciences Content / Knowledge: Recognise, visualise and name geometric figures and solids Deal with platonic solids (tetrahedron, cube, octahedron, dodecahedron, icosahedrons) Design and use nets Make models of geometric solids Draw and interpret sketches of geometric solids from different perspectives. Learning activities Teaching methods/approach Resources Lesson 1: Regular solids LB p158 Lesson 2: Classification of solids LB p164 Lesson 3: Drawing solids LB p165 Lesson 4: Different views of solids LB p168 Activity 1a: Making models of regular solids TG p138 Activity 1b: Classifying solids TG p138 Activity 1c: Drawing solids TG p140 Activity 2: Drawing different views TG p142 Lesson 5: Assessment LB p172 Self-assessment rubric discussion TG p144 Assessment: Types of assessment: Formal assessment for Lessons 2, 4 and 5 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 1 LO3 for Lesson 4; rubric 2 LO3 for Lesson 2; memo (TG p144) for Lesson 5 Teacher reflection: Maths Today Grade 8 Learner's Book and Teacher's Guide Models of solids Reinforcement: Revision of solids Extra examples of the new concepts introduced Expanded opportunities: Complex sketches of different views of objects Constructing complicated solids 15

16 LESSON PLANS Grade 8 Chapter 11: Measurement Learning Areas: Maths Grade: 8 Duration: 10 hours Weeks: Learning Outcome Assessment Standards Integration : Numbers, operations and relationships LO4: Measurement Recognises, classifies and represents numbers Solves more complex problems involving time Solves problems using a range of strategies Converts between: mm 2 cm 2 m 2 km 2 mm 3 cm 3 m 3 ml (cm 3 ) l k Describes the meaning of and uses π in calculations involving circles Calculates by selecting and using appropriate formulae Social Sciences (Geog) Technology Arts and Culture Natural Sciences Content / Knowledge: Recognise, classify, represent, describe and compare irrational numbers Solve problems involving time, distance and speed Length Perimeter and area of polygons and circles Volume and surface area of rectangular prisms and cylinders Solve problems with estimating, 2 decimal places, converting between S.I. units Describe the meaning of and uses π (pi), discuss historical development in measurement Calculate and use appropriate formulae Learning activities Teaching methods/approach Resources Lesson 1: Area and perimeter LB p174 Area of a polygon LB p174 Lesson 2: Measuring large areas LB p175 Lesson 3: The perimeter of a polygon LB p177 Lesson 4: The circumference of a circle LB p180 Lesson 5: History of pi LB p181 Lesson 6: The area of a circle LB p182 Lesson 7: Surface area LB p184 Surface area of a prism LB p184 Lesson 8: The surface area of a cylinder LB p186 Lesson 9: Volume LB p188 Prisms LB p188 Lesson 10: Cylinders LB p190 Lesson 11: Storing and measuring liquids LB p190 Lesson 12: Time, distance and speed LB p192 Lesson 13: Assessment LB p196 Activity 1a: Revising parallelograms TG p146 Activity 1b: Finding the area of a hexagon TG 147 Activity 1c: Measuring large areas TG p147 Activity 2: Calculating the perimeter of a polygon TG p148 Activity 3: Measuring circumference and diameter TG p148 Teach pi TG p149 Activity 4: Working out the area of a circle TG p149 Activity 5a: Calculating the surface area of a prism TG p150 Activity 5b: Calculating the surface area of a cylinder TG p151 Activity 6: Calculating the volume of prisms TG p151 Activity 7a: Calculating the volume of a cylinder TG 152 Activity 7b: Measuring liquids TG p152 Activity 8: Calculating speed TG p153 Self-assessment rubric discussion TG p155 Maths Today Grade 8 Learner's Book and Teacher's Guide Stop watch Measuring tapes Calculators 16

17 Assessment: Types of assessment: Formal assessment for Lessons 1, 4, 11 and 13 Informal assessment: all other activities can be used for informal assessment Form of assessment: Rubric 2 LO3 for Lesson 1; rubric 1 LO3 for Lesson 4; rubric 1 LO4 for Lesson 11; memo (TG p155) for Lesson 13 Teacher reflection: Reinforcement: Revision of formulas Extra examples of the new concepts introduced Expanded opportunities: Use of computer software for consolidation and extra challenges Exploring old Olympiad papers Working with more examples, problems and sketches 17

18 LESSON PLANS Grade 8 Chapter 12: Consumer mathematics Learning Areas: Maths Grade: 8 Duration: 10 hours Weeks: Learning Outcome Assessment Standards Integration : Numbers, operations and relationships LO2: Patterns, functions and algebra Solves problems in context Uses a range of techniques to perform calculations Investigates and extends numeric and geometric patterns Describes, explains and justifies observed relationships or rules Describes a situation by interpreting a graph Languages LO4 Technology LO2 Economic and Management Sciences Social Sciences (Geography) LO2 Content / Knowledge: Solve problems in financial context Use a range of techniques, perform calculations Investigate and extend numeric and geometric patterns Look for a relationship or rules Look for patterns Describe, explain and justify relationships or rules Describe a situation by interpreting graphs Draw a graph from a description of a situation Learning activities Teaching methods/approach Resources Lesson 1: Foreign currency and exchange rates LB p198 Working with forex graphs LB p199 Lesson 2: Interest LB p200 Simple interest LB p201 Compound interest LB p202 Lesson 3: Insurance LB p204 Lesson 4: Bank accounts LB p205 Lesson 5: Telephone charges LB p207 Lesson 6: Investigation LB p209 Assessment LB p211 Assessment: Types of assessment: Formal assessment for Lessons 1, 2 and 6 Informal assessment all other activities can be used for informal assessment Form of assessment: Rubric 3 for Lesson 1; rubric 2 LO2 for Lesson 2; memo (TG p163) for Lesson 6 Teacher reflection: Activity 1: Working with forex tables TG p157 Activity 2a: Calculating simple interest TG p158 Activity 2b: Calculating compound interest TG p158 Activity 3: Working out an insurance claim TG p159 Activity 4: Reading a bank account statement TG p160 Activity 5: Reading call charge charts TG p160 Self-assessment rubric discussion TG p163 Maths Today Grade 8 Learner's Book and Teacher's Guide Workbooks Newspapers Examples of variety of bills Bank statements Insurance policy contract copies Examples of claim forms Telephone bills Travel magazines Business magazines Tables of taxi fares Library books for reference Access to Internet Reinforcement: Extra examples of the new concepts introduced Repetitive calculations Expanded opportunities: Examples with higher levels of complexity Cell phone bills 18

19 LESSON PLANS Grade 8 Chapter 13: Data handling Learning Areas: Maths Grade: 8 Duration: 5 hours Weeks: 30 Learning Outcome Assessment Standards Integration LO5: Data handling Poses questions Selects appropriate sources for the collection of data Designs and uses questionnaires Organises and records data Summarises grouped and ungrouped numerical data Draws a variety of graphs Critically reads and interprets data Languages LO4 Natural Sciences LO2 Economic and Management Sciences LO3 Social Sciences (Geography) Content / Knowledge: Pose questions, select appropriate source, collect data Design and use questionnaires Organise and record data Summarise grouped and ungrouped numerical data Draw a variety of graphs by hand/technology Critically read and interpret data Learning activities Teaching methods/approach Resources Lesson 1: Interpreting data LB p213 Lesson 2: Collecting data LB p216 Lesson 3: Organizing data LB p218 Lesson 4: Frequency tables LB p218 Lesson 5: Stem-and-leaf diagrams LB p221 Lesson 6: Displaying data: Bar graphs LB p224 Histograms LB p225 Lesson 7: Displaying data: Pie charts LB p228 Lesson 8: Displaying data: Line graphs LB p229 Lesson 9: Displaying data: Scatter diagrams LB p230 Lesson 10: Representative values LB p233 Lesson 11: Measures of dispersion LB p234 Lesson 12: Which one to use: mean, median or mode? LB p236 Lesson 13: Using a calculator to find the mean LB p238 Lesson 14: Assessment LB p241 Activity 1: Interpreting data TG p165 Activity 2a: Designing a questionnaire TG p166 Activity 2b: Using a data sheet to record data from a questionnaire TG p167 Activity 2c: Using a frequency table TG p167 Activity 3a: Using stem-and-leaf diagrams TG p169 Activity 3b: Using back-to-back stem-and-leaf diagrams TG p169 Activity 4a: Representing data in a bar graph TG p171 Activity 4b: Deducing information from a histogram TG p172 Activity 5: Drawing a pie chart TG p174 Activity 6a: Drawing a line graph TG p175 Activity 6b: Drawing a scatter diagram TG p176 Activity 7a: Calculating the mean TG p178 Activity 7b: Calculating the median TG p179 Activity 7c: Calculating the mode TG p179 Activity 7d: Describing a set of data TG p179 Activity 8: Comparing the mean and the mode of a set of data TG p180 Activity 9: Using the statistical functions on a scientific calculator TG p182 Self-assessment rubric discussion TG p183 Maths Today Grade 8 Learner's Book and Teacher's Guide Graph paper Scientific calculator for checking answers Variety of newspaper business sections with graphs Computer access to work on MS Excel drawing graphs 19

20 Assessment: Type of assessment: Formal assessment for Lessons 3, 6, 11 and 14 Informal assessment: all other activities can be used for informal assessment Form of assessment Rubric 1 LO5 for Lesson 3; rubric 2 LO5 for Lesson 6; rubric 3 LO5 for Lesson 11; rubric (TG p183) for Lesson 14 Teacher reflection: Reinforcement: Revise data handling process Use of computer software for consolidation and extra challenges Expanded opportunities: Use of computer software for consolidation and extra challenges, engaging in complicated issues 20

21 LESSON PLANS Grade 8 Chapter 14: Probability Learning Areas: Maths Grade: 8 Duration: 5 hours Weeks: 31 Learning Outcome Assessment Standards Integration LO5: Data handling Performs simple experiments Considers a simple situation Technology Economic and Management Sciences LO3 Content / Knowledge: Perform simple experiments, collect data Consider a simple situation to be described with probability List outcomes Determine the probability Find relative frequency Compare relative frequency Predict outcomes Learning activities Teaching methods/approach Resources Lesson 1: Probability LB p242 Lesson 2: The probability scale LB p243 Lesson 3: Determining probability LB p244 Probability based on reasoning LB p244 Probability based on investigation LB p244 Calculating probability LB p244 Lesson 4: Assessment LB p249 Assessment: Types of assessment: Formal assessment for Lessons 2 and 4 Informal assessment: all other activities can be used for informal assessment Activity 1: Describing the chances of something happening TG p185 Teach probability TG p185 Activity 2a: Investigating the results of tossing a coin TG p186 Activity 2b: Investigating the results of tossing two coins TG p187 Self-assessment rubric discussion TG p188 Form of assessment: Rubric 3 LO5 for Lesson 2; rubric (TG p188) for Lesson 4 Teacher reflection: Maths Today Grade 8 Learner's Book and Teacher's Guide Coins Reinforcement: Extra examples of the new concepts introduced Expanded opportunities: Examples in higher order thinking e.g. Lotto 21

22 RUBRIC 1: MATHEMATICS Learning Outcome 1: Numbers, Operations and Relationships: Recognising, classifying and representing numbers Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can excellently recognise and represent, describe and compare and convert between equivalent forms of numbers in more than one way to a very high level exceeding expected Can recognise and represent, describe and compare and convert between equivalent forms of numbers meeting all the and working on a good level Can recognise and represent, describe and compare and convert between equivalent forms of numbers meeting most of the Can fairly recognise, represent and compare numbers meeting an adequate portion of Can recognise, represent and compare numbers with low levels of competency Struggles to recognise and/or represent numbers Cannot recognise and/or represent numbers, not met 22

23 RUBRIC 2: MATHEMATICS Learning Outcome 1: Numbers, Operations and Relationships: Applications of numbers to problems Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can excellently solve problems involving numbers and is correct almost all of the time, exceeding expected Solves problems involving numbers and is correct most of the time meeting all the and working on a good level Solves problems involving numbers and is correct most of the time meeting most of the A fair achievement meeting an adequate portion of the in solving problems involving numbers and is sometimes correct A moderate achievement partially satisfying the solving problems involving numbers and is sometimes correct Elementary attempts to solve problems involving numbers and is seldom correct Unsatisfactory attempts to solve problems involving numbers and is seldom correct, not met 23

24 RUBRIC 3: MATHEMATICS Learning Outcome 1: Numbers, Operations and Relationships: Calculation types involving numbers Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can excellently estimate and calculate, perform mental calculations, and use a range of techniques as listed in the assessment standards for this grade to perform calculations, checking solutions efficiently and with confidence, exceeding the Can estimate and calculate, perform mental calculations, and use a range of techniques as listed in the assessment standards for this grade to perform calculations, checking solutions with confidence and meeting all the Can estimate and calculate, perform mental calculations, and use a range of techniques as listed in the assessment standards for this grade to perform calculations, checking solutions with confidence and is correct most of the time A fair achievement meeting an adequate portion of the to estimate and calculate, perform mental calculations, and use a range of techniques for some of the assessment standards for this grade to perform calculations, checking solutions and is sometimes correct A moderate achievement partially satisfying the to estimate and calculate, perform mental calculations, and use a range of techniques for some of the assessment standards for this grade to perform calculations, checking solutions and is sometimes correct Elementary attempts to estimate and calculate and perform mental calculations for the assessment standards for this grade and is seldom correct Unsatisfactory attempts to estimate and calculate and perform mental calculations for the assessment standards for this grade and is seldom correct, not met 24

25 RUBRIC 4: MATHEMATICS Learning Outcome 1: Numbers, Operations and Relationships: Properties of numbers Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can use a range of properties of numbers excellently and with confidence in order to simplify calculations, exceeding expected Can use a range of properties of numbers appropriately, correctly and with confidence in order to simplify calculations, meeting all the and working on a good level Can use a range of properties of numbers appropriately, correctly and with confidence in order to simplify calculations, is correct most of the time, meeting most of the Can fairly use a range of properties of numbers appropriately, correctly and with confidence in order to simplify calculations Attempts to use properties of numbers to simplify calculations with moderate success and only partially satisfy the Makes no attempt to use the properties of numbers to simplify calculations with just elementary attempts Makes no attempt to use the properties of numbers to simplify calculations. Requirements not met 25

26 RUBRIC 1: MATHEMATICS Learning Outcome 2: Patterns, Functions and Algebra: Patterns Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can extend patterns excellently and describe, explain and justify relationships within patterns in terms of both consecutive terms and the position of the term in the pattern with deliberate attempts at efficiency, exceeding expected Can extend patterns and describe, explain and justify relationships within patterns in terms of both consecutive terms and the position of the term in the pattern with deliberate attempts at efficiency, meeting all the Can extend patterns and describe, explain and justify relationships within patterns in terms of both consecutive terms and the position of the term in the pattern, meeting most of the Can extend patterns fairly and describe, explain and justify relationships within patterns in terms of both consecutive terms and the position of the term in the pattern, meeting an adequate portion of Can extend patterns and describe relationships within patterns in terms of consecutive terms in the pattern, partially satisfying the Can extend elementary patterns, marginally satisfying the Can unsatisfactorily extend patterns, does not meet 26

27 RUBRIC 2: MATHEMATICS Learning Outcome 2: Patterns, Functions and Algebra: Equations Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Solves equations (number sentences) excellently using trial and improvement with success almost all of the time and/or describes a problem situation in a variety of ways, exceeding expected Solves equations (number sentences) on a good level using trial and improvement with success almost all of the time and/or describes a problem situation in a variety of ways meeting all the Good achievement in solving equations (number sentences) using trial and improvement with success most of the time and/or describes a problem situation in a variety of ways, meeting most of the Fair achievement in solving equations (number sentences) using trial and improvement with success most of the time and/or describes a problem situation in a variety of ways, meeting an adequate portion of the Can determine unknowns in input/output contexts and/or can sometimes describe a problem situation using a number sentence, partially satisfying the Elementary attempts to determine output values for given input values Cannot solve equations(number sentences) by trialand-improvement or algebraic process 27

28 RUBRIC 3: MATHEMATICS Learning Outcome 2: Patterns, Functions and Algebra: Graphs Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Confidently constructs and interprets mathematical models that represent, describe an provide solutions to problems Can construct and interpret mathematical models that represent, describe an provide solutions to problems Can mostly construct and interpret mathematical models that represent, describe an provide solutions to problems A fair achievement in constructing and interpreting mathematical models that represent, describe an provide solutions to problems Correctly answers questions from graphs some of the time and draws graphs. A moderate achievement partially satisfying the Partly answers questions on interpreting mathematical models that represent, describe and provide solutions to problems unsatisfactory attempts to answer questions on mathematical models that represent, describe and provide solutions to problem situations 28

29 RUBRIC 4: MATHEMATICS Learning Outcome 2: Patterns, Functions and Algebra: Equivalent representations Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can (for the same situation) excellently demonstrate the equivalence of different representations selecting the most useful for a given situation with flexibility, exceeds expected Can (for the same situation) demonstrate the equivalence of different representations selecting the most useful for a given situation with flexibility, meeting all the and working on a good level Can (for the same situation) demonstrate the equivalence of different representations selecting the most useful for a given situation meeting, most of the Can fairly (for the same situation) demonstrate the equivalence of different representations selecting the most useful for a given situation, meeting an adequate portion of the Can (for the same situation) demonstrate the equivalence of representations given in the same form (e.g. two different verbal descriptions, only partially satisfying the Cannot (for the same situation) demonstrate the equivalence of different representations Makes no attempt (for the same situation) to demonstrate the equivalence of different representations. Requirements not met 29

30 RUBRIC 5: MATHEMATICS Learning Outcome 2: Patterns, Functions and Algebra: Algebraic Conventions (8 & 9 only) Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Uses conventions of algebra excellently and correctly and is almost always correct while exceeding expected Uses conventions of algebra well and correctly and is almost always correct, Meets all the and working on a good level Uses conventions of algebra correctly most of the time meeting most of the Uses conventions of algebra fairly correctly most of the time Often uses conventions of algebra correctly partially satisfy the Elementary attempts to use conventions of algebra and is seldom correct Makes little attempt to use conventions of algebra and is seldom correct, not met 30

31 RUBRIC 1: MATHEMATICS Learning Outcome 3: Space and Shape: Shapes and Objects Activity: Name: Date: Grade: Level 7 Level 6 Level 5 Level 4 Level 3 Level 2 Level 1 Can excellently name, compare and classify 2-D shapes and 3-D objects given in different positions in terms of their properties beyond those specified for this grade, exceeding expected Can name, compare and classify 2-D shapes and 3-D objects given in different positions very good in terms of their properties beyond those specified for this grade meeting all the Can name, compare and classify 2-D shapes and 3-D objects given in different positions in terms of their properties, meeting most of the Can name, compare and classify 2-D shapes and 3-D objects fairly given in different positions in terms of their properties, meets an adequate portion of Can name and compare 2-D shapes and 3-D objects, given in different positions, in terms of their properties, partially satisfying the Can name some 2- D and 3-D shapes and knows some of the properties of 2-D shapes and 3-D objects in a given position in an elementary way seldom satisfying the Cannot name some 2-Dand 3-D shapes and some of the properties of 2-D shapes and 3-D objects in a given position, does not meet 31

### Senior Phase Grade 9 Today Planning Pack MATHEMATICS

M780636110304 Senior Phase Grade 9 Today Planning Pack MATHEMATICS Contents: Work Schedule: Page Grade 9 2 Lesson Plans: Grade 9 4 Rubrics: Rubric 1: Recognising, classifying and representing numbers 19

### CAMI Education linked to CAPS: Mathematics

- 1 - TOPIC 1.1 Whole numbers _CAPS curriculum TERM 1 CONTENT Mental calculations Revise: Multiplication of whole numbers to at least 12 12 Ordering and comparing whole numbers Revise prime numbers to

### WORK SCHEDULE: MATHEMATICS 2007

, K WORK SCHEDULE: MATHEMATICS 00 GRADE MODULE TERM... LO NUMBERS, OPERATIONS AND RELATIONSHIPS able to recognise, represent numbers and their relationships, and to count, estimate, calculate and check

### Number Sense and Operations

Number Sense and Operations representing as they: 6.N.1 6.N.2 6.N.3 6.N.4 6.N.5 6.N.6 6.N.7 6.N.8 6.N.9 6.N.10 6.N.11 6.N.12 6.N.13. 6.N.14 6.N.15 Demonstrate an understanding of positive integer exponents

### MATHS LEVEL DESCRIPTORS

MATHS LEVEL DESCRIPTORS Number Level 3 Understand the place value of numbers up to thousands. Order numbers up to 9999. Round numbers to the nearest 10 or 100. Understand the number line below zero, and

### Math 0980 Chapter Objectives. Chapter 1: Introduction to Algebra: The Integers.

Math 0980 Chapter Objectives Chapter 1: Introduction to Algebra: The Integers. 1. Identify the place value of a digit. 2. Write a number in words or digits. 3. Write positive and negative numbers used

### Prentice Hall Connected Mathematics 2, 7th Grade Units 2009

Prentice Hall Connected Mathematics 2, 7th Grade Units 2009 Grade 7 C O R R E L A T E D T O from March 2009 Grade 7 Problem Solving Build new mathematical knowledge through problem solving. Solve problems

### In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data.

MATHEMATICS: THE LEVEL DESCRIPTIONS In mathematics, there are four attainment targets: using and applying mathematics; number and algebra; shape, space and measures, and handling data. Attainment target

### Glencoe. correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 3-3, 5-8 8-4, 8-7 1-6, 4-9

Glencoe correlated to SOUTH CAROLINA MATH CURRICULUM STANDARDS GRADE 6 STANDARDS 6-8 Number and Operations (NO) Standard I. Understand numbers, ways of representing numbers, relationships among numbers,

### FOREWORD. Executive Secretary

FOREWORD The Botswana Examinations Council is pleased to authorise the publication of the revised assessment procedures for the Junior Certificate Examination programme. According to the Revised National

### LESSON 4 Missing Numbers in Multiplication Missing Numbers in Division LESSON 5 Order of Operations, Part 1 LESSON 6 Fractional Parts LESSON 7 Lines,

Saxon Math 7/6 Class Description: Saxon mathematics is based on the principle of developing math skills incrementally and reviewing past skills daily. It also incorporates regular and cumulative assessments.

### Common Core Unit Summary Grades 6 to 8

Common Core Unit Summary Grades 6 to 8 Grade 8: Unit 1: Congruence and Similarity- 8G1-8G5 rotations reflections and translations,( RRT=congruence) understand congruence of 2 d figures after RRT Dilations

### Charlesworth School Year Group Maths Targets

Charlesworth School Year Group Maths Targets Year One Maths Target Sheet Key Statement KS1 Maths Targets (Expected) These skills must be secure to move beyond expected. I can compare, describe and solve

### of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433

Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property

### The Australian Curriculum Mathematics

The Australian Curriculum Mathematics Mathematics ACARA The Australian Curriculum Number Algebra Number place value Fractions decimals Real numbers Foundation Year Year 1 Year 2 Year 3 Year 4 Year 5 Year

### Prentice Hall Mathematics: Course 1 2008 Correlated to: Arizona Academic Standards for Mathematics (Grades 6)

PO 1. Express fractions as ratios, comparing two whole numbers (e.g., ¾ is equivalent to 3:4 and 3 to 4). Strand 1: Number Sense and Operations Every student should understand and use all concepts and

### Key Topics What will ALL students learn? What will the most able students learn?

2013 2014 Scheme of Work Subject MATHS Year 9 Course/ Year Term 1 Key Topics What will ALL students learn? What will the most able students learn? Number Written methods of calculations Decimals Rounding

### Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013

A Correlation of Prentice Hall Mathematics Courses 1-3 Common Core Edition 2013 to the Topics & Lessons of Pearson A Correlation of Courses 1, 2 and 3, Common Core Introduction This document demonstrates

### Prentice Hall: Middle School Math, Course 1 2002 Correlated to: New York Mathematics Learning Standards (Intermediate)

New York Mathematics Learning Standards (Intermediate) Mathematical Reasoning Key Idea: Students use MATHEMATICAL REASONING to analyze mathematical situations, make conjectures, gather evidence, and construct

### Scope and Sequence KA KB 1A 1B 2A 2B 3A 3B 4A 4B 5A 5B 6A 6B

Scope and Sequence Earlybird Kindergarten, Standards Edition Primary Mathematics, Standards Edition Copyright 2008 [SingaporeMath.com Inc.] The check mark indicates where the topic is first introduced

### Bridging Documents for Mathematics

Bridging Documents for Mathematics 5 th /6 th Class, Primary Junior Cycle, Post-Primary Primary Post-Primary Card # Strand(s): Number, Measure Number (Strand 3) 2-5 Strand: Shape and Space Geometry and

### Current Standard: Mathematical Concepts and Applications Shape, Space, and Measurement- Primary

Shape, Space, and Measurement- Primary A student shall apply concepts of shape, space, and measurement to solve problems involving two- and three-dimensional shapes by demonstrating an understanding of:

### ISAT Mathematics Performance Definitions Grade 4

ISAT Mathematics Performance Definitions Grade 4 EXCEEDS STANDARDS Fourth-grade students whose measured performance exceeds standards are able to identify, read, write, represent, and model whole numbers

### Standards and progression point examples

Mathematics Progressing towards Foundation Progression Point 0.5 At 0.5, a student progressing towards the standard at Foundation may, for example: connect number names and numerals with sets of up to

### Pre-Algebra 2008. Academic Content Standards Grade Eight Ohio. Number, Number Sense and Operations Standard. Number and Number Systems

Academic Content Standards Grade Eight Ohio Pre-Algebra 2008 STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express large numbers and small

Academic Content Standards Grade Eight and Grade Nine Ohio Algebra 1 2008 Grade Eight STANDARDS Number, Number Sense and Operations Standard Number and Number Systems 1. Use scientific notation to express

### Tennessee Mathematics Standards 2009-2010 Implementation. Grade Six Mathematics. Standard 1 Mathematical Processes

Tennessee Mathematics Standards 2009-2010 Implementation Grade Six Mathematics Standard 1 Mathematical Processes GLE 0606.1.1 Use mathematical language, symbols, and definitions while developing mathematical

### Assessment Anchors and Eligible Content

M07.A-N The Number System M07.A-N.1 M07.A-N.1.1 DESCRIPTOR Assessment Anchors and Eligible Content Aligned to the Grade 7 Pennsylvania Core Standards Reporting Category Apply and extend previous understandings

### Biggar High School Mathematics Department. National 5 Learning Intentions & Success Criteria: Assessing My Progress

Biggar High School Mathematics Department National 5 Learning Intentions & Success Criteria: Assessing My Progress Expressions & Formulae Topic Learning Intention Success Criteria I understand this Approximation

### Functional Math II. Information CourseTitle. Types of Instruction

Functional Math II Course Outcome Summary Riverdale School District Information CourseTitle Functional Math II Credits 0 Contact Hours 135 Instructional Area Middle School Instructional Level 8th Grade

### 1. Mathematics Content/Alignment with the Standards Correlation to California Algebra Readiness Standards

PROGRAM DESCRIPTION The goal of Prentice Hall Connecting to Algebra is to fully prepare students for success in Algebra 1 by thoroughly covering the Algebra Readiness standards outlined by the California

### Curriculum Overview YR 9 MATHS. SUPPORT CORE HIGHER Topics Topics Topics Powers of 10 Powers of 10 Significant figures

Curriculum Overview YR 9 MATHS AUTUMN Thursday 28th August- Friday 19th December SUPPORT CORE HIGHER Topics Topics Topics Powers of 10 Powers of 10 Significant figures Rounding Rounding Upper and lower

### McDougal Littell California:

McDougal Littell California: Pre-Algebra Algebra 1 correlated to the California Math Content s Grades 7 8 McDougal Littell California Pre-Algebra Components: Pupil Edition (PE), Teacher s Edition (TE),

### Section 1: How will you be tested? This section will give you information about the different types of examination papers that are available.

REVISION CHECKLIST for IGCSE Mathematics 0580 A guide for students How to use this guide This guide describes what topics and skills you need to know for your IGCSE Mathematics examination. It will help

### Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade)

Welcome to Math 7 Accelerated Courses (Preparation for Algebra in 8 th grade) Teacher: School Phone: Email: Kim Schnakenberg 402-443- 3101 kschnakenberg@esu2.org Course Descriptions: Both Concept and Application

### MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education)

MATH 095, College Prep Mathematics: Unit Coverage Pre-algebra topics (arithmetic skills) offered through BSE (Basic Skills Education) Accurately add, subtract, multiply, and divide whole numbers, integers,

### numerical place value additional topics rounding off numbers power of numbers negative numbers addition with materials fundamentals

Math Scope & Sequence fundamentals number sense and numeration of the decimal system Count to 10 by units Associate number to numeral (1-10) KN 1 KN 1 KN 2 KN 2 Identify odd and even numbers/numerals and

### Big Ideas in Mathematics

Big Ideas in Mathematics which are important to all mathematics learning. (Adapted from the NCTM Curriculum Focal Points, 2006) The Mathematics Big Ideas are organized using the PA Mathematics Standards

### EVERY DAY COUNTS CALENDAR MATH 2005 correlated to

EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:

### Mathematics Scope and Sequence, K-8

Standard 1: Number and Operation Goal 1.1: Understands and uses numbers (number sense) Mathematics Scope and Sequence, K-8 Grade Counting Read, Write, Order, Compare Place Value Money Number Theory K Count

### NEW MEXICO Grade 6 MATHEMATICS STANDARDS

PROCESS STANDARDS To help New Mexico students achieve the Content Standards enumerated below, teachers are encouraged to base instruction on the following Process Standards: Problem Solving Build new mathematical

### Illinois State Standards Alignments Grades Three through Eleven

Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other

### Level 1 - Maths Targets TARGETS. With support, I can show my work using objects or pictures 12. I can order numbers to 10 3

Ma Data Hling: Interpreting Processing representing Ma Shape, space measures: position shape Written Mental method s Operations relationship s between them Fractio ns Number s the Ma1 Using Str Levels

### MATHEMATICAL LITERACY LESSON PLANS

MATHEMATICAL LITERACY LESSON PLANS GRADE 11. LESSON PLAN 1. Lesson Plan: Personal finance Number f Activities : 3 Duration : +/- 13H30 Week : 1-3 Date: Context : Personal finance management, Business context.

### Higher Education Math Placement

Higher Education Math Placement Placement Assessment Problem Types 1. Whole Numbers, Fractions, and Decimals 1.1 Operations with Whole Numbers Addition with carry Subtraction with borrowing Multiplication

### Numeracy and mathematics Experiences and outcomes

Numeracy and mathematics Experiences and outcomes My learning in mathematics enables me to: develop a secure understanding of the concepts, principles and processes of mathematics and apply these in different

### GRADES 7, 8, AND 9 BIG IDEAS

Table 1: Strand A: BIG IDEAS: MATH: NUMBER Introduce perfect squares, square roots, and all applications Introduce rational numbers (positive and negative) Introduce the meaning of negative exponents for

### MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab

MATH 0110 Developmental Math Skills Review, 1 Credit, 3 hours lab MATH 0110 is established to accommodate students desiring non-course based remediation in developmental mathematics. This structure will

### Anchorage School District/Alaska Sr. High Math Performance Standards Algebra

Anchorage School District/Alaska Sr. High Math Performance Standards Algebra Algebra 1 2008 STANDARDS PERFORMANCE STANDARDS A1:1 Number Sense.1 Classify numbers as Real, Irrational, Rational, Integer,

### Common Core State Standards for Mathematics Accelerated 7th Grade

A Correlation of 2013 To the to the Introduction This document demonstrates how Mathematics Accelerated Grade 7, 2013, meets the. Correlation references are to the pages within the Student Edition. Meeting

### Primary Curriculum 2014

Primary Curriculum 2014 Suggested Key Objectives for Mathematics at Key Stages 1 and 2 Year 1 Maths Key Objectives Taken from the National Curriculum 1 Count to and across 100, forwards and backwards,

### Everyday Mathematics CCSS EDITION CCSS EDITION. Content Strand: Number and Numeration

CCSS EDITION Overview of -6 Grade-Level Goals CCSS EDITION Content Strand: Number and Numeration Program Goal: Understand the Meanings, Uses, and Representations of Numbers Content Thread: Rote Counting

### Everyday Mathematics GOALS

Copyright Wright Group/McGraw-Hill GOALS The following tables list the Grade-Level Goals organized by Content Strand and Program Goal. Content Strand: NUMBER AND NUMERATION Program Goal: Understand the

### MINISTRY OF EDUCATION

Republic of Namibia MINISTRY OF EDUCATION NAMIBIA SENIOR SECONDARY CERTIFICATE (NSSC) MATHEMATICS SYLLABUS ORDINARY LEVEL SYLLABUS CODE: 4324 GRADES 11-12 FOR IMPLEMENTATION IN 2006 FOR FIRST EXAMINATION

### Such As Statements, Kindergarten Grade 8

Such As Statements, Kindergarten Grade 8 This document contains the such as statements that were included in the review committees final recommendations for revisions to the mathematics Texas Essential

### Grade 6 Mathematics Assessment. Eligible Texas Essential Knowledge and Skills

Grade 6 Mathematics Assessment Eligible Texas Essential Knowledge and Skills STAAR Grade 6 Mathematics Assessment Mathematical Process Standards These student expectations will not be listed under a separate

### Mathematics. Programme of study for key stage 3 and attainment targets (This is an extract from The National Curriculum 2007)

Mathematics Programme of study for key stage 3 and attainment targets (This is an extract from The National Curriculum 2007) Crown copyright 2007 Qualifications and Curriculum Authority 2007 Curriculum

### KEANSBURG SCHOOL DISTRICT KEANSBURG HIGH SCHOOL Mathematics Department. HSPA 10 Curriculum. September 2007

KEANSBURG HIGH SCHOOL Mathematics Department HSPA 10 Curriculum September 2007 Written by: Karen Egan Mathematics Supervisor: Ann Gagliardi 7 days Sample and Display Data (Chapter 1 pp. 4-47) Surveys and

### 10 th Grade Math Special Education Course of Study

10 th Grade Math Special Education Course of Study Findlay City Schools 2006 Table of Contents 1. Findlay City Schools Mission Statement 2. 10 th Grade Math Curriculum Map 3. 10 th Grade Math Indicators

### Numeracy Targets. I can count at least 20 objects

Targets 1c I can read numbers up to 10 I can count up to 10 objects I can say the number names in order up to 20 I can write at least 4 numbers up to 10. When someone gives me a small number of objects

### Mathematics. GCSE subject content and assessment objectives

Mathematics GCSE subject content and assessment objectives June 2013 Contents Introduction 3 Subject content 4 Assessment objectives 11 Appendix: Mathematical formulae 12 2 Introduction GCSE subject criteria

### Mathematics standards

Mathematics standards Grade 6 Summary of students performance by the end of Grade 6 Reasoning and problem solving Students represent and interpret routine and non-routine mathematical problems in a range

### Voyager Sopris Learning Vmath, Levels C-I, correlated to the South Carolina College- and Career-Ready Standards for Mathematics, Grades 2-8

Page 1 of 35 VMath, Level C Grade 2 Mathematical Process Standards 1. Make sense of problems and persevere in solving them. Module 3: Lesson 4: 156-159 Module 4: Lesson 7: 220-223 2. Reason both contextually

### Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975. Consumer Math

Consumer Math 15 INDEPENDENT LEAR NING S INC E 1975 Consumer Math Consumer Math ENROLLED STUDENTS ONLY This course is designed for the student who is challenged by abstract forms of higher This math. course

### Topic: Unit 1-Variables, Expressions, and Integers

Grade 7th Topic: Unit 1-Variables, Expressions, and Integers Essential Questions/Enduring CC.7.NS.1 Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and

### Mathematics K 6 continuum of key ideas

Mathematics K 6 continuum of key ideas Number and Algebra Count forwards to 30 from a given number Count backwards from a given number in the range 0 to 20 Compare, order, read and represent to at least

### 1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

NCTM STANDARD 1: Numbers and Operations Kindergarten Grade 2 1A: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Kindergarten Grade One Grade Two 1. Count

### CURRICULUM FOR THE COMMON CORE SUBJECT OF MATHEMATICS

CURRICULUM FOR THE COMMON CORE SUBJECT OF Dette er ei omsetjing av den fastsette læreplanteksten. Læreplanen er fastsett på Nynorsk Established as a Regulation by the Ministry of Education and Research

### Unit 1: Integers and Fractions

Unit 1: Integers and Fractions No Calculators!!! Order Pages (All in CC7 Vol. 1) 3-1 Integers & Absolute Value 191-194, 203-206, 195-198, 207-210 3-2 Add Integers 3-3 Subtract Integers 215-222 3-4 Multiply

### Geometry Course Summary Department: Math. Semester 1

Geometry Course Summary Department: Math Semester 1 Learning Objective #1 Geometry Basics Targets to Meet Learning Objective #1 Use inductive reasoning to make conclusions about mathematical patterns Give

### COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS

COMMON CORE STATE STANDARDS FOR MATHEMATICS 3-5 DOMAIN PROGRESSIONS Compiled by Dewey Gottlieb, Hawaii Department of Education June 2010 Operations and Algebraic Thinking Represent and solve problems involving

Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

### Quick Reference ebook

This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed

### Performance Level Descriptors Grade 6 Mathematics

Performance Level Descriptors Grade 6 Mathematics Multiplying and Dividing with Fractions 6.NS.1-2 Grade 6 Math : Sub-Claim A The student solves problems involving the Major Content for grade/course with

### MATHEMATICAL LITERACY LESSON PLANS.

MATHEMATICAL LITERACY LESSON PLANS. GRADE 10. LESSON PLAN 1. Lesson Plan: Number and operations in context. Number f Activities : 3 Duration : +/- 9H00 Week 1 2 Date: Context : Mathematics in everyday

### Geometry and Measurement

The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for

Content Strand: Number and Numeration Understand the Meanings, Uses, and Representations of Numbers Understand Equivalent Names for Numbers Understand Common Numerical Relations Place value and notation

### Key Stage 3 Mathematics Programme of Study

Deeloping numerical reasoning Identify processes and connections Represent and communicate Reiew transfer mathematical across the curriculum in a ariety of contexts and eeryday situations select, trial

### Algebra I Credit Recovery

Algebra I Credit Recovery COURSE DESCRIPTION: The purpose of this course is to allow the student to gain mastery in working with and evaluating mathematical expressions, equations, graphs, and other topics,

### The program also provides supplemental modules on topics in geometry and probability and statistics.

Algebra 1 Course Overview Students develop algebraic fluency by learning the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. Students

### Chapter 111. Texas Essential Knowledge and Skills for Mathematics. Subchapter B. Middle School

Middle School 111.B. Chapter 111. Texas Essential Knowledge and Skills for Mathematics Subchapter B. Middle School Statutory Authority: The provisions of this Subchapter B issued under the Texas Education

### Key Stage 2 Mathematics Programme of Study

Deeloping numerical reasoning Identify processes and connections Represent and communicate Reiew transfer mathematical to a ariety of contexts and eeryday situations identify the appropriate steps and

### CRLS Mathematics Department Algebra I Curriculum Map/Pacing Guide

Curriculum Map/Pacing Guide page 1 of 14 Quarter I start (CP & HN) 170 96 Unit 1: Number Sense and Operations 24 11 Totals Always Include 2 blocks for Review & Test Operating with Real Numbers: How are

### Expression. Variable Equation Polynomial Monomial Add. Area. Volume Surface Space Length Width. Probability. Chance Random Likely Possibility Odds

Isosceles Triangle Congruent Leg Side Expression Equation Polynomial Monomial Radical Square Root Check Times Itself Function Relation One Domain Range Area Volume Surface Space Length Width Quantitative

Geometry Progress Ladder Maths Makes Sense Foundation End-of-year objectives page 2 Maths Makes Sense 1 2 End-of-block objectives page 3 Maths Makes Sense 3 4 End-of-block objectives page 4 Maths Makes

### The Most Widely Used. Mathematics Textbook Series in Japan is Now in English! Introducing Tokyo Shoseki s. and

The Most Widely Used Mathematics Textbook Series in Japan is Now in English! Introducing Tokyo Shoseki s Mathematics International (Elementary School, s 1 to 6) and Mathematics International (Lower Secondary

### ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers Basic Math 1.2 - The Number Line Basic Math 1.3 - Addition of Whole Numbers, Part I

ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers 1) Read whole numbers. 2) Write whole numbers in words. 3) Change whole numbers stated in words into decimal numeral form. 4) Write numerals in

### with functions, expressions and equations which follow in units 3 and 4.

Grade 8 Overview View unit yearlong overview here The unit design was created in line with the areas of focus for grade 8 Mathematics as identified by the Common Core State Standards and the PARCC Model

### Pennsylvania System of School Assessment

Pennsylvania System of School Assessment The Assessment Anchors, as defined by the Eligible Content, are organized into cohesive blueprints, each structured with a common labeling system that can be read

### Prentice Hall Mathematics, Algebra 1 2009

Prentice Hall Mathematics, Algebra 1 2009 Grades 9-12 C O R R E L A T E D T O Grades 9-12 Prentice Hall Mathematics, Algebra 1 Program Organization Prentice Hall Mathematics supports student comprehension

### Curriculum Map by Block Geometry Mapping for Math Block Testing 2007-2008. August 20 to August 24 Review concepts from previous grades.

Curriculum Map by Geometry Mapping for Math Testing 2007-2008 Pre- s 1 August 20 to August 24 Review concepts from previous grades. August 27 to September 28 (Assessment to be completed by September 28)

Academic Standards for Grades Pre K High School Pennsylvania Department of Education INTRODUCTION The Pennsylvania Core Standards in in grades PreK 5 lay a solid foundation in whole numbers, addition,

### For examination in June and November 2016. Also available for examination in March 2016 for India only.

SYLLABUS Cambridge IGCSE Mathematics 0580 For examination in June and November 2016. Also available for examination in March 2016 for India only. This syllabus is approved for use in England, Wales and

### Florida Math for College Readiness

Core Florida Math for College Readiness Florida Math for College Readiness provides a fourth-year math curriculum focused on developing the mastery of skills identified as critical to postsecondary readiness

### Overview. Essential Questions. Grade 8 Mathematics, Quarter 4, Unit 4.3 Finding Volume of Cones, Cylinders, and Spheres

Cylinders, and Spheres Number of instruction days: 6 8 Overview Content to Be Learned Evaluate the cube root of small perfect cubes. Simplify problems using the formulas for the volumes of cones, cylinders,

### Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008. Chapter 1: Place, Value, Adding, and Subtracting

Grade 5 Math Pacing Guide Page 1 of 9 Grade 5 Mathematics Curriculum Guideline Scott Foresman - Addison Wesley 2008 Test Preparation Timeline Recommendation: September - November Chapters 1-5 December