DRAFT FRAMEWORK FOR GRADE 10 PACE SETTERS: 2006



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Western Cape Education Department

DIRECTORATE: CURRICULUM DEVELOPMENT

FET NCS

PACE SETTERS FOR GRADE 10

2008

SUBJECT: MATHEMATICAL LITERACY

This pace setter is aligned to and must be read in conjunction with the Subject Statement and Subject Assessment Guideline

|LO and |Content Description |Assessment Activities |Week |Completed |

|Assessment Standard | | | | |

|10.3.1 Solve problems in 2-dimensional and 3- dimensional |Measurement in 2&3D: | |1 - 5 | |

|contexts by: |Units of measurement and conversions |Daily informal assessment: Class work and or | | |

|estimating, measuring and calculating values which |Length and distance |homework | | |

|involve: |Perimeter and area | | | |

|( lengths and distances, |Volume |Investigation | | |

|( perimeters and areas of common polygons and circles, |Conversions within the metric system. | | | |

|( volumes of right prisms, | | | | |

|checking values for solutions against the contexts in | | | | |

|terms of suitability and degree of accuracy. | | | | |

| | | | | |

|10.3.2 Convert units of measurement within the metric | | | | |

|system. | | | | |

| | | | | |

| | | | | |

|10.4.1 Investigate situations in own life by: |Data handling: |Daily informal assessment: Class work and or |6 - 10 | |

|formulating questions on issues such as those related to: |Formulating questions to investigate |homework | | |

|( social, environmental and political factors, |Methods for collecting data | | | |

|( people’s opinions, |(e.g. interviews, questionnaires, the use of data bases) | | | |

|( human rights and inclusivity; |suited to the purpose of drawing conclusions to the | | | |

|collecting or finding data by appropriate methods |questions | | | |

| | | | | |

|10.4.2 Select, justify and use a variety of Methods to | | | | |

|summarise and display data | | | | |

| | | | | |

| | | | | |

| |Methods to summarise and display data | | | |

| |summarise and display data in statistical charts and | | | |

| |graphs inclusive of: | | | |

| |tallies; | | | |

| |tables; | | | |

| |pie charts; | | | |

|Understand that data can be summarised in different ways |histograms(first grouping of data) | | | |

|by calculating and using appropriate measures of central |single bar and compound bar graphs | | | |

|tendency and spread (distribution) to make comparisons and|line and broken-line graphs. | | | |

|draw conclusions, inclusive of the: | | | | |

| |Measures of central tendencies | | | |

| |mean; | | | |

|10.4.4 Critically interpret data and |median; | | | |

|representations thereof (with awareness of sources of |mode; | | | |

|error) in order to draw conclusions on questions | | | | |

|investigated and to make predictions and to critique |Measures of spread | | | |

|other interpretations. |range. | | | |

| | | | | |

| |Interpreting data and making predictions | | | |

|LOs addressed above |Integration and consolidation |Control test |11 | |

|LO and |Content Description |Assessment Activities |Week |Completed |

|Assessment Standard | | | | |

|10.1.1 Solve problems in various contexts, including |Problem solving in various contexts: |Daily informal assessment: Class work and or |12 - 15 | |

|financial contexts, by estimating and calculating accurately|Working with simple formulae |homework | | |

|using mental, written and calculator methods where |Percentage | | | |

|appropriate, |Ratio, rate and proportion | | | |

|using the relationships between arithmetical operations | | | | |

|(including the distributive property) to simplify | | | | |

|calculations where possible; (NOTE: students are not | | | | |

|expected to know the distributive property by name) | | | | |

|10.1.2 Relate calculated answers correctly and appropriately| | | | |

|to the problem situation by: | | | | |

|interpreting answers in terms of the context; | | | | |

|reworking a problem if the first answer is not sensible, or | | | | |

|if the initial conditions change; |interpreting calculated answers logically in relation | | | |

|interpreting calculated answers logically in relation to the|to the problem and communicating processes and results | | | |

|problem and communicating processes and results. | | | | |

| | | | | |

| | | | | |

|10.2.1 Work with numerical data and formulae in a variety |Mathematical modelling |Daily informal assessment: Class work and/or |15 - 19 | |

|of real-life situations: |(tables and graphs) |homework | | |

|(Types of relationships to be dealt with include linear and |Input and output values | | | |

|inverse proportion relationships) |Point-by-point plotting of graphs | | | |

| |Reading and critically interpreting graphs and tables |Assignment | | |

|10.2.2 Draw graphs (by hand and/or by means of technology |finding values of variables at certain points; | | | |

|where available) in a variety of real-life |describing overall trends; | | | |

| |identifying maximum and minimum points; | | | |

|10.2.3 Critically interpret tables and graphs that relate |describing trends (including in terms of rates of | | | |

|to a variety of real-life situations by: |change). | | | |

| |(Types of relationships to be dealt with include linear| | | |

| |and inverse proportion relationships | | | |

| |Mid-year examinations |Examination |20-22 | |

|LO and |Content Description |Assessment Activities |Week |Completed |

|Assessment Standard | | | | |

|10.1.3 Apply mathematical knowledge and skills to plan |Financial Mathematics |Daily informal assessment: Class work and or |23 - 26 | |

|personal finances, |Personal budgets |homework | | |

| |income and expenditure; | | | |

| |the impact of interest (simple and compound) within |Investigation | | |

| |personal finance contexts. | | | |

| | | | | |

| |Simple and compound interest | | | |

|10.4.5 Work with simple notions of likelihood/probability |Simple probability concepts |Daily informal assessment: Class work and or |26-28 | |

|in order to make sense of statements involving these |express probability values in terms of fractions, ratios |homework | | |

|notions |and percentages. | | | |

| | | | | |

|10.4.6 Effectively communicate conclusions and predictions| | | | |

|(using appropriate terminology such as trend, increase, |Drawing conclusions and making predictions | | | |

|decrease, constant, impossible, likely, fifty-fifty | | | | |

|chance), that can be made from the analysis and | | | | |

|representation of data. | | | | |

|10.2.1 Work with numerical data and formulae in a variety |Mathematical Modelling: | |29 -31 | |

|of real-life situations: |Critically interpret tables and graphs | | | |

|10.2.2 Draw graphs (by hand and/or by means of technology |Determining output values for given input values; | | | |

|where available) in a variety of real-life situations by: |Determining input values for given output values; | | | |

|point-by-point plotting of data; |(Types of relationships to be dealt with include linear | | | |

|working with formulae to establish points to plot. |and inverse proportion relationships) | | | |

| | | | | |

|10.2.3 Critically interpret tables and graphs that relate |finding values of variables at certain points; | | | |

|to a variety of real-life situations |describing overall trends; | | | |

| |identifying maximum and minimum points; | | | |

| |describing trends (including in terms of rates of | | | |

| |change). | | | |

| |Consolidation and integration |Control test |32-33 | |

|LO and |Content Description |Assessment Activities |Week |Completed |

|Assessment Standard | | | | |

|10.3.3 Draw and interpret scale drawings of plans to |Scale drawing of plan: | |34 - 35 | |

|represent and describe situations |Estimate and calculate values according to scale | | | |

| | | | | |

|10.3.4 Use grids and maps in order to determine locations |Grids and maps: |Project |36 - 37 | |

|and plan trips |Determine locations | | | |

| |Plan trips | | | |

| |Consolidation and integration | |38 | |

| |Final examination |Examination |39-40 | |

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TERM: 1

Number of weeks: 11

TERM: 2

Number of weeks: 11

TERM: 3

Number of weeks: 10

TERM: 4

Number of weeks: 9

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