Scheme of Work


Tutor:                  John O’Driscoll


Title of Programme:            FETAC LEVEL 3 MATHEMATICS


         Key Aims of the Course: To provide clarity around different kinds of numbers, including fractions, percentages, decimals,
         natural numbers, integers, and real numbers that people are exposed to everyday
         To develop mathematical skills and understanding to support use of maths in real life situations
         To create an awareness of the functions of a calculator and to develop competency in using a calculator
         To consider the concept of algebra and its use in daily life
         To create an awareness of the presence of data in daily life and to collect, organise, present and interpret data in a practical
         manner
         To consider the concept of shape and space and practically apply these concepts to solving mathematical problems relating to
         area and volume
Location: CAHIR, CO. TIPPERARY

Duration: 30 WEEKS X 2 HOURS

Start Date February ‘12

End Date April ‘12




        Topic             Key               Teaching &      What skills are being         Assessment.       Link to
                          Objectives        Learning        developed?                                      FETAC
                                            Activities                                                      Module Title
                                                                                                            and SLO
Week    Problem Solving   Quantitative      How salary     Problem solving; using         Worksheets;       FETAC
1                         descriptions of   deductions are fractions/decimals/percentages demonstration;    Maths L.3
                          everyday          applied.       with ease                      group work        Assessment
                          situations;       Examples,                                                       no 5
                          techniques of     practise and
                          mathematics;      application
                          appropriate
                          strategies
Week    Problem Solving   Quantitative      Simple          Problem solving; using         Worksheets;      FETAC
2                         descriptions of   interest as     fractions/decimals/percentages demonstration;   Maths L.3
                          everyday          against         with ease. Powers/ indices.    group work       Assessment
                          situations;       compound        Scientific calulator                            no 5
                          techniques of     interest.
                          mathematics;      Interest due
                          appropriate       and interest
strategies        owed


Week   Problem Solving   Quantitative      Seeing the       Problem solving; using ratios   Worksheets;        FETAC
3                        descriptions of   connection       fractions decimals. Power of    demonstration;     Maths L.3
                         everyday          between ratios   scientific calculator.          group work         Assessment
                         situations;       and fractions.   Good communications in                             no 5
                         techniques of     Review last      mathematics
                         mathematics;      fortnights
                         appropriate       work
                         strategies
Week   Problem Solving   Quantitative      To express       The uses and manifestation of   Drawing simple     FETAC
4                        and graphical     very simple      co-ordinate geometry.           graphs as          Maths L.3
                         descriptions of   algebraic        Interpreting them               conversion table   Assessment
                         everyday          equations in a   confidently                     and pictogram      no 5
                         situations;       geometric
                         techniques of     fashion.
                         mathematics;
                         appropriate
                         strategies
Week   Problem Solving   Quantitative      To express       Algebra review. Linear          Drawing simple     FETAC
5                        and graphical     very simple      equations and the graphed       graphs as          Maths L.3
                         descriptions of   algebraic        line                            conversion table   Assessment
                         everyday          equations in a                                   and pictogram      no 5
                         situations;       geometric
                         techniques of     fashion.
                         mathematics;
                         appropriate
                         strategies

Week   Problem Solving   Quantitative      To reinforce     Quantitative and graphical      Drawing simple     FETAC
6                        and graphical     the notion of    descriptions of everyday    graphs as           Maths L.3
                         descriptions of   the algebraic    situations; techniques of   conversion table    Assessment
                         everyday          and geometric    mathematics; appropriate    and pictogram.      no 5
                         situations;       interpretation   strategies. Simple          Two lines on one
                         techniques of     of maths         simultaneous equation       graph
                         mathematics;      problems         demonstration.
                         appropriate
                         strategies


Week   Problem Solving   Maths as a        Pythagoras       Solving the triangle.       Solving different   FETAC
7                        modelling         Theorem. The     Contextualising the right   right angle         Maths L.3
                         strategy          right-angled     angle triangle              triangles           Assessment
                                           triangle                                                         no 5



Week   Problem Solving   Degrees.                           Solving the triangle.       More right angle    FETAC
8                        Hypotenuse.                        Contextualising the right   triangles.          Maths L.3
                         Recognition       Pythagoras       angle triangle              Degrees. 180 in a   Assessment
                         and               Theorem. The                                 triangle. Proof.    no 5
                         measurement.      right-angled
                         What are          triangle
                         radians. Why
                         this course
                         doesn’t use
                         them
Week   Problem Solving   Degrees.          Contextualising Recognition of the way       Solving different   FETAC
9                        Hypotenuse.       Pythagoras      Pythagoras will solve a      right angle         Maths L.3
                         Recognition       Theorem         specific problem             triangles hidden    Assessment
                         and                                                            in real-life        no 5
measurement.                                                    situations
                       What are
                       radians? Why
                       this course
                       doesn’t use
                       them?
Week                   Data in         Examining the     Reading data competently      Computer and         FETAC
10     Data handling   everyday life;  variety of data   and confidently               internet research.   Maths L.3
                       the survey;     we meet in                                                           Assessment
                       pie and         everyday life.                                                       no 4
                       barcharts       Primary and
                                       secondary
                                       data
Week                   Distinguish     Examining the     Scanning/reading data; spot   Worksheets,          FETAC
11     Data handling   between         variety of data   discrepancies, outliers       reading and          Maths L.3
                       primary and     we meet in                                      scanning             Assessment
                       secondary data everyday life.                                                        no 4
                                       Primary and
                                       secondary
                                       data
Week                   Intro to the    Building a        Collect and collate data.     Computer video       FETAC
12     Data handling   PCAI cycle.     survey.           Demonstration of survey       and worksheets       Maths L.3
                       Pose a          Examples,         collecting                                         Assessment
                       question.       ideas                                                                no 4
                       Collect data .
                       Analyse the
                       data. Interpret
                       the results
Week                   Present data.   Draw              Present survey to group       Drawing pie and      FETAC
13     Data handling   Analyse and     pictograms; pie                                 bar charts           Maths L.3
                       interpret       and bar charts                                                       Assessment
no 4

Week                      The survey as   What             Discussion, questionnaire      Organising work    FETAC
14     Review data        a gateway to    disadvantages                                   in a presentable   Maths L.3
       handling           further         can surveys                                     manner             Assessment
                          knowledge       present?                                                           no 4




                 Scheme of Work can be emailed or left in my drawer no later than Friday 2nd March 2012

Scheme of work template 2

  • 1.
    Scheme of Work Tutor: John O’Driscoll Title of Programme: FETAC LEVEL 3 MATHEMATICS Key Aims of the Course: To provide clarity around different kinds of numbers, including fractions, percentages, decimals, natural numbers, integers, and real numbers that people are exposed to everyday To develop mathematical skills and understanding to support use of maths in real life situations To create an awareness of the functions of a calculator and to develop competency in using a calculator To consider the concept of algebra and its use in daily life To create an awareness of the presence of data in daily life and to collect, organise, present and interpret data in a practical manner To consider the concept of shape and space and practically apply these concepts to solving mathematical problems relating to area and volume
  • 2.
    Location: CAHIR, CO.TIPPERARY Duration: 30 WEEKS X 2 HOURS Start Date February ‘12 End Date April ‘12 Topic Key Teaching & What skills are being Assessment. Link to Objectives Learning developed? FETAC Activities Module Title and SLO Week Problem Solving Quantitative How salary Problem solving; using Worksheets; FETAC 1 descriptions of deductions are fractions/decimals/percentages demonstration; Maths L.3 everyday applied. with ease group work Assessment situations; Examples, no 5 techniques of practise and mathematics; application appropriate strategies Week Problem Solving Quantitative Simple Problem solving; using Worksheets; FETAC 2 descriptions of interest as fractions/decimals/percentages demonstration; Maths L.3 everyday against with ease. Powers/ indices. group work Assessment situations; compound Scientific calulator no 5 techniques of interest. mathematics; Interest due appropriate and interest
  • 3.
    strategies owed Week Problem Solving Quantitative Seeing the Problem solving; using ratios Worksheets; FETAC 3 descriptions of connection fractions decimals. Power of demonstration; Maths L.3 everyday between ratios scientific calculator. group work Assessment situations; and fractions. Good communications in no 5 techniques of Review last mathematics mathematics; fortnights appropriate work strategies Week Problem Solving Quantitative To express The uses and manifestation of Drawing simple FETAC 4 and graphical very simple co-ordinate geometry. graphs as Maths L.3 descriptions of algebraic Interpreting them conversion table Assessment everyday equations in a confidently and pictogram no 5 situations; geometric techniques of fashion. mathematics; appropriate strategies Week Problem Solving Quantitative To express Algebra review. Linear Drawing simple FETAC 5 and graphical very simple equations and the graphed graphs as Maths L.3 descriptions of algebraic line conversion table Assessment everyday equations in a and pictogram no 5 situations; geometric techniques of fashion. mathematics; appropriate strategies Week Problem Solving Quantitative To reinforce Quantitative and graphical Drawing simple FETAC
  • 4.
    6 and graphical the notion of descriptions of everyday graphs as Maths L.3 descriptions of the algebraic situations; techniques of conversion table Assessment everyday and geometric mathematics; appropriate and pictogram. no 5 situations; interpretation strategies. Simple Two lines on one techniques of of maths simultaneous equation graph mathematics; problems demonstration. appropriate strategies Week Problem Solving Maths as a Pythagoras Solving the triangle. Solving different FETAC 7 modelling Theorem. The Contextualising the right right angle Maths L.3 strategy right-angled angle triangle triangles Assessment triangle no 5 Week Problem Solving Degrees. Solving the triangle. More right angle FETAC 8 Hypotenuse. Contextualising the right triangles. Maths L.3 Recognition Pythagoras angle triangle Degrees. 180 in a Assessment and Theorem. The triangle. Proof. no 5 measurement. right-angled What are triangle radians. Why this course doesn’t use them Week Problem Solving Degrees. Contextualising Recognition of the way Solving different FETAC 9 Hypotenuse. Pythagoras Pythagoras will solve a right angle Maths L.3 Recognition Theorem specific problem triangles hidden Assessment and in real-life no 5
  • 5.
    measurement. situations What are radians? Why this course doesn’t use them? Week Data in Examining the Reading data competently Computer and FETAC 10 Data handling everyday life; variety of data and confidently internet research. Maths L.3 the survey; we meet in Assessment pie and everyday life. no 4 barcharts Primary and secondary data Week Distinguish Examining the Scanning/reading data; spot Worksheets, FETAC 11 Data handling between variety of data discrepancies, outliers reading and Maths L.3 primary and we meet in scanning Assessment secondary data everyday life. no 4 Primary and secondary data Week Intro to the Building a Collect and collate data. Computer video FETAC 12 Data handling PCAI cycle. survey. Demonstration of survey and worksheets Maths L.3 Pose a Examples, collecting Assessment question. ideas no 4 Collect data . Analyse the data. Interpret the results Week Present data. Draw Present survey to group Drawing pie and FETAC 13 Data handling Analyse and pictograms; pie bar charts Maths L.3 interpret and bar charts Assessment
  • 6.
    no 4 Week The survey as What Discussion, questionnaire Organising work FETAC 14 Review data a gateway to disadvantages in a presentable Maths L.3 handling further can surveys manner Assessment knowledge present? no 4 Scheme of Work can be emailed or left in my drawer no later than Friday 2nd March 2012