1. PEMAMPATAN SUKATAN PELAJARAN TINGKATAN 2, 2010 Compacting Mathematics form two MATAPELAJARAN: MATEMATIKMINGGU TAJUK OBJEKTIF PELAJARAN ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN DIAJAR KAJIAN1 week DIRECTED 1. Perform Free Test (untuk item yang NUMBERS computations tidak diajar) involving multiplication and division of integers to solve problems. 2. Perform computations involving combined operations of addition, subtraction, multiplication and division of integers to solve problems 3. Extend the concept of integers to fractions to solve problems 4. Extend the concept of integers to decimals to solve problems 5. Perform computations involving directed numbers (integers, fractions and decimals) ZAI/smktiz/2010
2. Compacting Mathematics form twoMINGGU TAJUK OBJEKTIF PELAJARAN ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN DIAJAR KAJIAN • Recognise squares of2 weeks SQUARES, 1. Understand and numbers as the areas of SQUARE use the concept of the associated squares ROOTS, squares of numbers • Use pencil-and-paper CUBES AND method, mental and CUBE speed calculations to ROOTS evaluate squares of numbers where appropriate • Use estimation to check whether answers are reasonable e.g 27 is between 20 and 30. 27² is between 400 and 900 • Explore square numbers using calculators • Explore perfect squares • Explore the concept of 2. Understand square roots using areas and use the of squares. concept of • Investigate square multiplications involving roots of square roots of positive a) the same number numbers b) different numbers • Use estimation to check whether answers are reasonable e.g 7 is between 4 and 9 √7 is between 2 and 3 ZAI/smktiz/2010
3. Compacting Mathematics form two ZAI/smktiz/2010
4. OBJEKTIFMINGGU TAJUK ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN PELAJARAN DIAJAR KAJIAN • Use calculators to explore Compacting Mathematics form two the relationship between squares and square roots. 3. Understand • Recognise cube of a and use the number as the volume of concept of the associated cube. cube of • Use pencil-and-paper numbers method, speed and mental calculations to evaluate cubes of numbers • Explore estimation of cubes of numbers. e.g 0.48 is between 0.4 and 0.5 0.48³ is between 0.064 and 0.125 • Explore cubes of numbers using calculators 4. Understand • Use calculators to explore and use the the relationship between concept of cubes and cube roots. cube roots of numbers • Explore estimation of cube roots of numbers e.g 20 is between 8 and 27 3 20 is between 2 and 3 • Explore the relationship between cubes and cube roots using calculators. OBJEKTIFMINGGU TAJUK ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN PELAJARAN DIAJAR KAJIAN • Use concrete examples to1 week LINEAR 1. Understand illustrate ‘=’ and ‘≠’ EQUATIONS and use the concept of ZAI/smktiz/2010 equality
5. Compacting Mathematics form two OBJEKTIFMINGGU TAJUK ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN PELAJARAN DIAJAR KAJIAN • Use concrete examples to explain solutions of linear equation in one unknown e.g relate x + 2 = 5 to +2=5 3. Understand the concept • Solve and verify linear of solutions equations in one unknown of linear by inspection and equations in systematic trial, using one unknown whole numbers, with and without the use of calculators. • Involve examples from everyday situations LINEAR 1. Understand and use • Derive linear equations in EQUATIONS the concepts of linear two variables relating to II equations in two real-life situations. variables. • Explore using graphic1 week calculators, dynamic geometry software and spreadsheets to solve linear equations and simultaneous linear equations. 2. Understand and use • Use trial and the concepts of two improvement method. Simultaneous linear equations in two • Use examples from real- variables to solve life situations. problems. ZAI/smktiz/2010
6. Compacting Mathematics form two ZAI/smktiz/2010
7. Compacting Mathematics form two OBJEKTIFMINGGU TAJUK ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN PELAJARAN DIAJAR KAJIAN • use everyday examples to2 weeks RATIOS, 1. Understand introduce the concept of RATES AND the concept ratio PROPORTIONS of ratio of two • use concrete examples to quantities explore: a) equivalent ratios b) related ratios • use everyday examples to 2. understand introduce the concept of the concept proportion of proportion to solve • verify the method of cross problems multiplication and use it to find the missing • Use everyday examples to 3. Understand introduce the concept of and use the ratio of three quantities concept of ratio of three • Use concrete examples to quantities to explore equivalent ratios solve problems terms of a proportion 1. Understand • Students identify the1 week PYTHAGORAS’ the hypotenuse of right- THEOREM relationship angled triangles drawn in between the different orientations sides of a right- angled • Use dynamic geometry triangle software, grid papers or geo-boards to explore and investigate the Pythagoras’ theorem 2. Understand • Explore and investigate and use the the converse of the converse of the Pythagoras’ theorem Pythagoras’ through activities theorem ZAI/smktiz/2010
8. Compacting Mathematics form two OBJEKTIFMINGGU TAJUK ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN PELAJARAN DIAJAR KAJIAN GEOMETRICAL 1 Perform • Relate constructions to2 weeks CONSTRUCTIONS constructions properties of rhombus and using straight isosceles triangle edge (ruler and set • Relate the construction to square) and the properties of compass equilateral triangle • Explore situation when two different triangles can be constructed • Introduce the concept of1 week COORDINATES 1. Understand coordinates using everyday and use the examples concept of e.g coordinates State the location of: a) a seat in the classroom b) a point on square grids • Introduce Cartesian coordinates as a systematic way of marking the location of a point • Use dynamic geometry 2. Understand software to explore and and use the investigate the concept concept of scales scales for the coordinate axes • Explore the effects of shapes of objects by using different scales • Explore positions of places on topography maps ZAI/smktiz/2010
9. Compacting Mathematics form two OBJEKTIFMINGGU TAJUK ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN PELAJARAN DIAJAR KAJIAN • Pose and solve problems involving coordinates of vertices of shapes such as Name the shape formed by A(1, 5), B(2, 5), C(4, 3) and D(3, 3) Three of the four vertices of a square are (1, 1), (2, 5) and (6, 2). State the coordinates of the fourth vertex. 3 Understand • Discuss different methods and use the of finding distance between concept of two points such as distance a) inspection between two b) moving one point to points on a the other Cartesian c) computing the plane difference between the x-coordinates or y- coordinates • Students draw the appropriate right-angled triangle using the distance between the two points as the hypotenuse 4 Understand • Introduce the concept of and use the midpoints through concept of activities such as folding, midpoints constructing, drawing and counting • Use dynamic geometry software to explore and investigate the concept of midpoints ZAI/smktiz/2010
10. Compacting Mathematics form two OBJEKTIFMINGGU TAJUK ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN PELAJARAN DIAJAR KAJIAN • Use everyday examples LOCI IN TWO 1 Understand such as familiar routes2 weeks the concept of and simple paths to DIMENSIONS two introduce the concept of dimensional loci loci • Discuss the locus of a point in a given diagram e.g Describe a locus of a point equidistant from A and C A D B C 2 Understand • Use everyday examples or the concept of games to discuss the the intersection intersection of two loci of two loci • Mark the points that satisfy the conditions3 weeks CIRCLES 1 Recognize and • Introduce the concept of draw parts of a circles as a locus circle • Use dynamic geometry software to explore parts of a circle 2 Understand and use the • Measure diameter and concept of circumference of circular circumference objects to solve • Explore the history of π problems • Explore the value of π using dynamic geometry software ZAI/smktiz/2010
11. Compacting Mathematics form two OBJEKTIFMINGGU TAJUK ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN PELAJARAN DIAJAR KAJIAN • Explore the relationship 3 Understand between the length of arc the concept of and angle at the center of a arc of a circle circle using dynamic to solve geometry software problems 4 Understand • Explore the relationship and use the between the radius and the concept of area area of a circle: of sector of a a) using dynamic circle to solve geometry software problems b) through activities such as cutting the circle into equal sectors and rearrange them into rectangular form 5 Understand and • Explore the relationship use the concept between the area of a of area of sector sector and the angle at the of a circle to center of the circle using solve problems dynamic geometry software • Explore scale drawings SCALE 1 Understand the using dynamic geometry1 week concepts of scale software, grid papers, DRAWINGS drawings. geo-boards or graph papers. • Relate to maps, graphics and architectural drawings. ZAI/smktiz/2010
12. Compacting Mathematics form two ZAI/smktiz/2010
13. Compacting Mathematics form two OBJEKTIFMINGGU TAJUK ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN PELAJARAN DIAJAR KAJIAN 1 understand the • Explore concepts in2 weeks TRANSFORMA concept of transformational geometry TIONS transformations using concrete materials, drawings, geo-boards and dynamic geometry software 2 Understand • Explore translations given and use the in the form a concept of b translations o Investigate the shapes and sizes, lengths and angles of the images and objects • Explore the image of an 3 Understand object under a reflection by and use the drawing, using tracing concept of paper, or paper folding reflections • Investigate the shapes and sizes, lengths and angles of the images and objects 4 Understand • Explore the image of an and use the object under a rotation by concept of drawing and using tracing rotations paper 5 Understand and • use tracing papers to use the concept explore isometry of isometry 6 Understand • explore congruency under and use the translations, reflections concept of and rotations congruence ZAI/smktiz/2010
14. Compacting Mathematics form two OBJEKTIFMINGGU TAJUK ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN PELAJARAN DIAJAR KAJIAN 7 Understand and • explore the properties of use the various quadrilaterals by properties of comparing the sides, quadrilaterals angles and diagonals using concept of transformations 1 Understand and use • Involve examples from1 week TRANSFORMA the concepts of everyday situations. TIONS II similarity. 2 Understand and • Explore the concepts of use the concepts of enlargement using grid enlargement. papers, concrete materials, drawings, geo-boards and dynamic geometry software. • Relate enlargement to similarity of shapes.2 weeks SOLID 1 Understand GEOMETRY II geometric • Explore and investigate properties of properties of geometric prisms, solids using concrete pyramids, models cylinders, cones and spheres. 2 Understand the • Explore the similarities concept of nets and differences between nets of prisms, pyramids, cylinders and cones using concrete models 3 Understand the • Explore and derive concept of formulae of the surface surface area areas of prisms, pyramids, cylinders and cones ZAI/smktiz/2010
15. Compacting Mathematics form two OBJEKTIFMINGGU TAJUK ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN PELAJARAN DIAJAR KAJIAN 1 Understand the • Carry out activities to1 week STATISTICS concept of data introduce the concept of data as a collection of information or facts • Discuss methods of collecting data such as counting observations, measuring, using questionnaires and interviews 2 Understand the • Use activities to introduce concept of the concept of frequency frequency 3 Represent and • Use everyday situations to interpret data in: introduce pictograms, bar i) pictograms charts and line graphs. ii) bar charts iii) line graphs to solve problems ZAI/smktiz/2010
16. Compacting Mathematics form twoMINGGU TAJUK OBJEKTIF PELAJARAN ITEM YANG TIDAK ITEM YANG DITAMBAH AKTIVITI CADANGAN DIAJAR KAJIAN1 week ALGEBRAIC 1 Understand Free Test (untuk item yang EXPRESSIONS the concept tidak diajar) II of algebraic terms in two or more unknowns. 2 Perform computations involving multiplication and division of two or more terms 3 Understand the concept of algebraic Expressions 4 Perform computations involving algebraic expressions ZAI/smktiz/2010
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