MATHEMATICS FORM ONE SCHEME OF WORK 2004

Transcription

1 MATHEMATICS FORM ONE SCHEME OF WORK 2004 WEEK TOPICS/SUBTOPICS LEARNING OBJECTIVES LEARNING OUTCOMES VALUES CREATIVE & CRITICAL THINKING 1 WHOLE NUMBER Students wll be able to: GENERICS Concept of whole number whole number Count, read and wrte whole number Identfy place value and value of each dgt n whole number Hardworkng Curous dstngush Round whole Addton and subtracton Perform computatons nvolvng addton and subtracton of whole to solve problems Add whole nvolvng addton of whole Subtract whole Hardworkng Crtcal thnkng To try dstngush Multplcaton and Dvson Perform computatons nvolvng multplcaton and dvson of whole to solve problems. Multply two or more whole. nvolvng multplcaton of whole. Accurate Systematcal To recognze relatonshp learnng Dvde a whole number by a smaller whole number. v nvolvng dvson of whole Combne operatons of addton, subtracton, multplcaton, of whole number to solve problems Perform computatons nvolvng combne operatons of addton, subtracton, multplcaton, of whole number to solve problems Perform computatons nvolvng any combnaton of addton, subtracton, multplcaton and dvson of whole number, ncludng the use of brackets. nvolvng combned Systematcal Logc Thrfty Makng assocaton dstngush Learnng Multple Intellgence 1

2 operatons of addton, subtracton, multplcaton and dvson of whole, ncludng the use of brackets. 2 NUMBER PATTERNS AND SEQUENCES Students wll be able to: Number Patterns and Sequences Recognze and extend number patterns and sequences formed by countng on and countng back n ntervals of any sze Descrbe the pattern of a gven number sequence. Extend number sequences. Curous Systematcal dstngush To dentfy Communca ton Constructvsm v Complete mssng terms n gven number sequences. Construct number sequences based on gven patterns. Dscovery Constructvsm Odd and even Recognze odd and even and make general statements about them Identfy and descrbe odd and even Make general statements about odd and even Systematcal To dentfy Prme Understand the characterstcs of prme Identfy the characterstcs of prme Determne whether a gven number s a prme number Ratonal To dentfy Determne all the prme less than Multples Understand and use the knowledge of multples of whole Lst the multples of whole Determne whether a number s the multple of another number Logc To try Common multples and Lowest Common Multple (LCM) Understand the characterstcs and use the knowledge of common multples and Lowest Common Multple (LCM) of whole Fnd the common multples of two or three whole. Determne whether a s the common multple of two or three gven Hardworkng dstngush 2

3 Determne the LCM of two or three gven. Ratonal learnng Factors Understand the characterstcs and use the knowledge of factors of whole Lst factors of whole Determne whether a number s a factor of another whole number Logc Hardworkng Identfy Multple ntellgent Prme Factors Understand the characterstcs and use the knowledge of prme factors of whole. Identfy prme factors from a lst of factors. Fnd prme factor (s) of whole Determne whether a number s a prme factor of another whole number Ratonal Identfy learnng Common factors and Hghest Common Factors (HCF) Understand and use the knowledge of common factors and Hghest Common Factors (HCF) of whole. Fnd common factors of two or three whole Determne whether a number s a common factor of two or three gven whole Crtcal thnkng Try Multple ntellgence Learnng Determne HCF of two or three gven 3 FRACTIONS Students wll be able to: Fractons Understand and use the knowledge of fractons as part of a whole v Read fractons Descrbe fractons as parts of a whole Represent fractons wth dagrams Wrte fractons for gven dagrams Systematcal Try Draw dagrams Estmate the value Thnkng Sklls Equvalent Understand and use the knowledge of equvalent fractons v Fnd equvalent fractons for a gven fracton Determne whether two gven fractons are equvalent. Compare the values of two gven fractons Arrange fractons n order Curous Identfy dstngush Learnng Cooperatve Learnng 3

4 v Smplfy fractons to the lowest term Mxed mxed number and ther representatons v Recognse mxed Represent mxed wth dagrams Wrte mxed based on gven dagrams Compare and order mxed on number lnes Creatve Responsblty Mentally processng To dentfy relatonshp and connecton Learnng Constructvsm Thnkng Sklls Proper fractons and mproper fractons proper fractons and mproper fractons Recognse proper and mproper fractons from gven fractons Hardworkng Learnng Change mxed nto mproper fractons Change mproper fractons nto mxed. Thrfty Constructvsm Thnkng Sklls Addton and subtracton of fractons addton and subtracton of fractons to solve problem Perform addton nvolvng : a.fractons wth common denomnators. b.fractons wth dfferent denomnators. c. Whole and fractons. d. Fractons and mxed. e. Mxed. Systematcal Ratonal Constuctvsm Learnng Perform subtracton nvolvng : a.fractons wth common denomnators. b. Fractons wth dfferent denomnators. c. Whole and fractons. d. Fractons and mxed. e. Mxed nvolvng combned operatons of addton and subtracton of fractons Thrfty Hardworkng dstngush Communca tons Multple Intellegence Solvng 4

5 Multplcaton and substracton of fracton multplcaton and dvson of fractons to solve problem Multply a. A whole number by a fracton or mxed number b. A fracton by a whole number c. A fracton by a whole number (nclude mx ) Hardworkng Ratonal dstngush Solve problem Constructvsm Multple ntellgent nvolvng multplcaton of fractons solvng v Dvde a. A fracton by a whole number b. A fracton by a fracton c. A whole number by a fracton d. A mxed number by a mxed number nvolvng dvson of problem Systematcal Logc Ratonal Hardworkng solvng Combned operatons of addton, substracton, multplcaton and dvson of fractons Perform computaton nvolvng combned operatons of addton, substracton, multplcaton and dvson of fractons to solve problems Perform computaton nvolvng combned operatons of addton, substracton, multplcaton and dvson of fractons ncludng the use of brackets Solve problem nvolvng combned operatons of addton, substracton, multplcaton and dvson of fractons ncludng the use of brackets Systematcal Logc Ratonal Hardworkng dstngush To try Thnkng sklls solvng 4 DECIMALS Students wll be able to: Relatonshp between decmals and fractons Understand the relatonshp between decmals and fractons Represent fractons 10 1 and 100 decmals and vce-versa 1 as Systematcal Thrfty explan nformaton Cooperatve v Represent fractons wth denomnators 10, 100 and 1000 as decmals Read and wrte decmals to thousandths Change fractons to decmals and vce-versa Curous Hardworkng Thnkng skll 5

6 Place value and value of each dgt n decmals place value and value of each dgt n decmals State the place value and value of each dgt n decmals Compare the values of two gven decmals Ratonal Curous explan nformaton Arrange decmals n order v Round decmals to the nearest whole number or up to three decmal places Addton and subtracton addton and subtracton of decmals to solve problems v Add decmals. nvolvng addton of decmals Subtract decmals nvolvng subtracton of decmals Systematcal Thrfty Curous Hardworkng explan nformaton Analyses Multplcaton and dvson multplcatons and dvsons of decmals to solve problems Multply two or more decmals. Solve problem nvolvng multplcaton of decmals. Dvde : a. A decmal by a whole number. b. A decmal by a decmal c. A decmal by a fracton Systematcal Thrfty Curous Hardworkng explan nformaton Analyss Thnkng sklls v nvolvng dvson of decmals Combned operaton of addton, subtracton, multplcaton and dvson Perform computaton nvolvng combned operaton of addton, subtracton, multplcaton and dvson of decmals n problem solvng Perform computaton nvolvng combned operaton of addton, subtracton, multplcaton and dvson of decmals, ncludng the use of brackets nvolvng combned operaton of addton, subtracton, Systematcal Hardworkng Logc Ratonal explan nformaton Analyss Multple ntellgences 6

7 multplcaton and dvson of decmals ncludng the use of bracket 5 PERCENTAGES Students wll be able to: Percentages and nvestgate the relatonshp percentages and nvestgate the relatonshp between percentages and fractons or decmals Express percentages as the number of parts n every 100 Change fractons and decmals to percentages and vce-versa Systematcal Analyses Curous explan nformaton Makng decson Perform computatons and solve problems Perform computatons and solve problems nvolvng percentages Fnd the percentage of a quantty Fnd the percentage one number s of another Fnd a number gven the percentage v Fnd the percentage of ncrease or decrease v nvolvng percentages 6 INTEGERS Students wll be able to: Integers Understandng and use the knowledge of ntegers v v Read and wrte ntegers Represent ntegers on number lnes Compare the values of two ntegers Arrange ntegers n order Wrte postve or negatve to represent word descrptons Logc curous Systematcal Thrfty explan nformaton Classfy Compare & dstngush Makng decson Communca tons Cooperatve learnng Addton and subtracton Perform computatons nvolvng addton and subtracton of ntegers to solve problems Add ntegers nvolvng addton of ntegers Subtract ntegers Communca tons Cooperatve learnng 7

8 v nvolvng subtracton of ntegers learnng 7 ALGEBRAIC EXPRESSIONS Students wll be able to: Unknown unknowns Use alphabets to represent unknown Identfy unknowns n gven stuatons Systematcal Logc Curous explan nformaton Makng decson learnng Constructvsm Thnkng Skll Algebrac terms algebrac terms Identfy algebrac terms wth one unknown Identfy coeffcents n gven algebrac terms wth one unknown Identfy lke and unlke algebrac terms wth one unknown Systematcal Logc Curous explan nformaton Makng decson Constructvsm Thnkng Skll v State lke terms for a gven term Algebrac expressons algebrac expressons Recognse algebrac expressons. Determne the number of terms n gven algebrac expressons Smplfy algebrac expressons by combnng the lke terms Cooperate hardworkng dstngush Constuctvsm Thnkng Skll learnng 8 BASIC MEASUREMENT Students wll be able to: Length length to solve problems Measure the length of objects Make conversons between metrc unts (mm, cm, m, km) Logc Cooperate Classfy Predct Solve problem Constructvsm Self-access learnng Estmate lengths of objects n approprate unts Systematcal Logc explan nformaton learnng 8

9 v Use the four operatons to solve problems nvolvng length Curous Multple Intellgences Mass mass to solve problems Measure the mass of objects. Make conversons between metrc unts. (mg, g, kg, tonne) Estmate masses of objects n approprate unts Systematcal Logc Curous Apprecate tme explan nformaton Constructvsm Self-access learnng learnng v Use the four operatons to solve problems nvolvng mass Tme tme n seconds, mnutes, hours, days, weeks, months and years Determne the approprate measurement of tme for certan events Convert measurement of tme n dfferent unts (seconds, mnutes, hours, days, weeks, months, and years) Estmate the tme nterval of events Systematcal Thrfty Apprecate the value of tme explan nformaton Multple Intellgence Future studes Thnkng skll v Use the four operaton to solve problems nvolvng tme learnng learnng Solvng The twelve hour and twenty-four hour system Understand and use tme n the twelve hour and twenty-four hour system to solve problem Read and wrte tme n 12 hour system Read and wrte tme n 24 hour system Convert tme n 12 hour system to 24 hour system and vce-versa Systematcal Thrfty Apprecate the value of tme explan nformaton Compare & dstngush learnng Dscovery 9

10 v v Determne the nterval between two gven tme nvolvng tme Makng decson 9 LINES AND ANGLES Students wll be able to: Angles angles v v Recognse angles Denote and label angles Measure angles usng protractors Draw angles usng protractors Recognse, compare and classfy angles as acute, rght and obtuse Systematcal Curous Hardworkng Ratonal Crtcal thnkng explan nformaton Makng decson Multple ntellgence learnng v Draw acute, rght and obtuse angles usng protractors v Determne angles on straght lnes equal 180º v Determne one whole turn s 360º Parallel and perpendcular lnes parallel and perpendcular lnes Determne parallel lnes Determnes perpendcular lnes State that the angles formed by perpendcular lnes s 90 Systematcal Thrfty Classfy Compare & dstngush learnng Use propertes of angles assocated wth ntersectng lnes Understand and use propertes of angles assocated wth ntersectng lnes to solve problems Identfy ntersectng lnes Determne the propertes of vertcal, complementary and supplementary angles Determne the value of angle on a lne, gven the adjacent angle Cooperate Systematcal Classfy explan nformaton Self-access learnng v nvolvng angles formed by 10

11 ntersectng lnes 10 POLYGONS Students wll be able to: Polygons Understand the concept of polygons v Recognze polygons Name polygons (trangle, quadrlateral, pentagon, hexagon, heptagon and octagon) Determne the number of sdes, vertces and dagonals of gven pentagons Sketch polygons Systematcal Thrfty Classfy Makng decson Multple ntellgence Constructvsm Future studes Thnkng sklls learnng study sklls Symmetry Understand the concept of symmetry Determne and draw the lne(s) of symmetry of shapes Complete shapes gven part of the shapes and the lne of symmetry Systematcal Thrfty Makng decson Compare & dstngush learnng Self-access learnng Draw desgns usng the concept of symmetry Trangles Identfy and use the geometrc propertes of trangles to solve problems v v Determne and draw symmetry lne (s) of gven trangles Draw trangles usng protractors and rulers State the geometrc propertes of the dfferent types of trangles and name the trangles Determne the sum of the angles of a trangle s 180 o nvolvng trangles Systematcal Curous Analyses Classfy Makng decson Constructvsm Thnkng sklls Future studes Multple ntellgences 11

12 Quadrlateral Identfy and use the geometrc propertes of quadrlateral to solve problems. Determne and draw symmetry lne (s) of gven quadrlaterals Draw quadrlateral usng protractors and rulers Systematcal Curous Analyses Classfy Makng decson Constructvsm State the geometrc propertes of dfferent types of quadrlaterals and name quadrlaterals Thnkng sklls Future studes v Determne the sum of the angles of a quadrlateral s 360 o Multple ntellgences v nvolvng quadrlaterals Masterng study sklls learnng Self-access learnng 11 PERIMETER AND AREA Students wll be able to: Permeter permeter to solve problems Identfy the permeter of a regon Fnd the permeter of a regon enclosed by straght lnes Curous Cooperate Identfy Compare & dstngush Inqury nvolvng permeters Makng decson Area of Rectangles area of rectangles to solve problems Estmate the area of a shape Fnd the area of a rectangle Estmate nvolvng areas Concept of area of trangles, parallelograms and area of trangles, parallelograms and trapezum to solve problems Identfy the heghts of trangles, parallelograms and trapezums Curous Identfy Constructvsm 12

13 trapezum v Fnd the areas of trangles, parallelograms and trapezums Fnd the areas of fgures made up of trangles, rectangles, parallelograms or trapezums nvolvng the areas of trangles, rectangles, parallelograms and trapezums Cooperate Ratonal Accurate explan nformaton Makng dcson 12 SOLID GEOMETRY Students wll be able to: Geometrc propertes of cubes and cubods Understand geometrc propertes of cubes and cubods Identfy geometrc solds State the geometrc propertes of cubes and cubods Draw cubes and cubods on: a. Square grds. b. Blank paper. Curous Systematcal Ratonal Compare & dstngush explan nformaton Makng decson Constructvsm solvng learnng v Make models of cubes and cubods by: a. Combnng gven faces. b. Foldng gven layouts of solds Volume of cubods volume of cubods to solve problems Estmate the volume of cubods Fnd the volume of cubods nvolvng volume of cubods Estmate Systematcal Accurate Recognze relatonshp explan nformaton solvng Future studes Self-access learnng 13