RPT Math Form 4

Week/ Date	Learning Area	Learning Objectives	Learning Outcomes	CCTS	Remarks
1 4/1-8/1/10	Chapter 1: Standard Form	1.1   Understand and use the concept of significant figure	Students will be able to: round off positive numbers to a given number of significant figures when the numbers are: a)       greater than 1 b)      less than 1 perform operations of addition, subtraction, multiplication and division, involving a few numbers and state the answer in specific significant figures iii.  solve problems involving significant figure	-    contextual -    working out mentally -    finding all possible solutions -    identifying relations
2   11/1-15/1/10		1.2   Understand and use the concept of standard form to solve problem	state positive numbers in standard form when the numbers are: a)       greater than or equal to 10 b)      less than 1 convert numbers in standard form to single numbers perform operations of addition, subtraction, multiplication and division, involving any two numbers and state the answers in standard form solve problems involving numbers in standard form	-      working out mentally -      identifying relations
3   18/1-22/1/10	Chapter 2: Quadratic Expressions and Equations	2.1  Understand  the concept of Quadratic Expression 2.2 Factorization quadratic expression	i.      Identify quadratic expressions  ii.      Form quadratic expressions by multiplying any two linear expressions Form quadratic expressions based on specific situations   i  Factorise quadratic expressions of the form    ax2+bx+c=0, where b= 0 or c= 0 ii Factorise quadratic expressions of the form px2 – q, p    and q are the perfect squares	-      classifying -      arranging sequentially -      translating	-
4 25/1/-29/1/10		2.3 Understand the concept of Quadratic Equation	iii  Factorise quadratic expressions of the form ax2+ bx +     c, where a, b and c not equal to zero iv Factorise quadratic expressions containing coefficients     with common factors Identify quadratic equations with one unknown Write quadratic equations in general form i.e.                             ax2 + bx + c = 0 Form quadratic equations based on specific situations	-      arranging sequentially -      arranging sequentially -      classifying -      translating	-
5   1/2-5/2/10		2.4 Understand the concept of Roots of quadratic equations	determine whether a given value is a root of a specific quadratic equation determine the solutions for quadratic equations by: a)       trial and error method b)      factorization iii.  solve problems involving quadratic equation	-      comparing & differentiating finding all possible solutions
6   8/2-12/2/10	Chapter 3: Sets	3.1 Understand the concept of Set	sort given objects into groups define sets by a) descriptions b)using set  notation iii  identify whether a given object is an element of a set      and use the symbol or iv. represent sets by using Venn diagrams v.  list the elements and state the number of elements of a set vi.  determine whether a set is an empty set vii. determine whether two sets are equal	-      making generalizations -      working out mentally classifying -comparing and differentiating	-
7 14/2-21/10			CUTI TAHUN BARU CINA
8   22/2-26/2/10		3.2 Understand and use the concept of Subset, universal set and the complement of a set	determine whether a given set is a subset of a specific set and use the symbol  or . represent subset by using Venn diagram list the subsets for a specific set illustrate the relationship between set and universal set using Venn diagram determine the complement of a given set determine the relationship between set, subset,  universal set and the complement of  a set	-      classifying -      finding all possible solutions -      drawing diagrams -      identifying relations -      interpreting
9 10   1/3-12/3/10		3.3 Perform Operations on set	determine the intersection of a)       two sets b)      three sets and use the symbol represent the intersection of sets using Venn diagram state the relationship between a)        and A b)       and B determine the complement of the intersection of sets solve problems involving the intersection of sets. determine the union of a)       two sets b)      three sets and use the symbol vii.  represent the union of sets using Venn diagram viii.state the relationship between a)        and A b)       and B determine the complement of the union of sets solve problems involving the union of sets determine the outcome of combined operations on sets xii. solve problems involving combined operations on sets CUTI PERTENGAHAN PENGGAL 1 [ 13-21  MAC 2010]	-      comparing and differentiating -      drawing diagrams -      identifying relations -      interpreting -      translating -      making generalization	-
12 22/3-26/3/10	Chapter 4: Mathematical Reasoning	4.1 Understand the concept of  Statement	i.      determine whether a given sentence is a statement  ii.      determine whether a given statement is true or false construct true or false statement using given numbers and mathematical symbols	-      Classifying -      Working out mentally -      Translating -      Interpreting	-
12		4.2 Understand the concept of Quantifiers “all” and “some”	i.      construct statements using quantifier a)       all b)      some  ii.      determine whether a statement that contains the quantifier “all” is true or false determine whether a statement can be generalized to cover all cases by using the quantifier “all” construct a true statement using the quantifier “all” or “some” given an object and a property”	-      Working out mentally -      Identifying relations	-
13   29/3-2/4/10		4.3 Perform Operations Involving the words “not” or “ no” statements	i.      change the truth value of a given statement by placing the word “not” into the original statement  ii.      identify two statements from a compound statement that contains the word “and” form a compound statement by combining two given statements using the word “and” identify two statement from a compound statement that contains the word “or”  v.      form a compound statement by combining two given statements using the word “or” determine the truth value of a compound statement which is the combination of two statements with the word “and” determine the truth value of a compound statement which is the combination of two statements with the word “or”	-      working out mentally -      classifying	-
13		4.4 Understand the concept  of Implication	i.      identify the antecedent and consequent of an implication “if p, then q”  ii.      write two implications from a compound statement containing “if and only if” construct mathematical statements in the form of implication: a)       If p, then q b)      p if and only if q determine the converse of a given implication  v.      determine whether the converse of an implication is true or false	-      working out mentally -      classifying	-
14 5/4-9/4/10		4.5 Understand the concept of  Argument	identify the premise and conclusion of a given simple argument make a conclusion based on two given premises for: a)       Argument Form I b)      Argument Form II c)       Argument Form III complete an argument given a premise and the conclusion	-      Classifying -      Making inferences	-
14		4.6 Understand and use the concept of  Deduction and Induction	determine whether a conclusion is made through: a)       reasoning by deduction b)      reasoning by induction make a conclusion for a specific case based on a given general statement, by deduction make a generalization based on the pattern of a numerical sequence, by induction use deduction and induction in problem solving	-      classifying -      making inferences -      making generalization -      looking for patterns -      making analogy	-
15   12/4-16/4/10	Chapter 5: The Straight Line	5.l Understant the concept of gradient of a straight line	i.  determine the vertical and horizontal distances between two given points on a straight line ii. determine the ratio of vertical distance to horizontal distance	-      Interpreting	-
15		5.2 Understant the concept of gradient of a straight line in Cartesian coordinates	derive the formula for the gradient of a straight line calculate the gradient of a straight line passing through two points determine the relationship between the value of the gradient and the: a)       steepness b)      direction of inclination of a straight line	-      interpreting -      classifying	-
16 19/4-23/4/10		5.3 Understand the concept of intercept	determine the x-intercept and the y-intercept of a straight line derive the formula for the gradient of a straight line in terms of the x-intercept and the y-intercept perform calculations involving gradient x-intercept and y-intercept	-      interpreting	-
17   26/4-30/4/10		5.4Understand and use the concept of Equation of a straight line	draw the graph given an equation of the form y = mx + c determine whether a given point lies on a specific straight line write the equation of the straight line given the gradient and y­-intercept determine the gradient and y-intercept of the straight line which equation is of the form: a) y = mx + c b) ax + by = c find the equation of the straight line which: a)       is parallel to the x-axis b)      is parallel to the y-axis c)       passes through a given point and has a specific gradient d)      passes through two given points find the point of the intersection of two straight lines by: a)       drawing the two straight lines e)       solving simultaneous equations	-      drawing diagrams -      comparing and differentiating -      working out mentally	-
18   3/5-7/5/09 19 10/5-114/5/10		5.5 Understand and use the concept of Parallel line	verify that two parallel lines have the same gradient and vice versa determine from the given equations whether two straight lines are parallel find the equation of the straight line which passes through a given point and is parallel to another straight line solve problems involving equations of straight lines   ULANGKAJI   PEPERIKSAAN PENGGAL 1          [            ] (WEEK 20-21)   CUTI GAWAI–     [     31/5-6/6       ] (WEEK 22) CUTI  PERTENGAHAN TAHUN [7-20 JUN20 10] (WEEK 23-24)	-      comparing and differentiating
25 21/6-25/6/10	Chapter 6: Statistics	6.1 Understand the concept of class Interval	complete the class interval for a set of data given one of the class intervals determine: a)       the upper limit an lower limit b)      the upper boundary and lower boundary of a class in a group data calculate the size of a class interval	-      working out mentally -      classifying -      making inferences	-
			determine the class interval, given a set of data and the numbers of classes determine a suitable class interval for a given set of data construct a frequency table for given set of data
25		6.2Understand  and use the concept of  Mode and mean of grouped data	i. determine the modal class from the frequency table of grouped data calculate the midpoint of a class verify the formula for the mean of grouped data calculate the mean from the frequency table of grouped data discuss the effect of the size of class interval on the accuracy of the mean for a specific set of grouped data	-      Interpreting -      Working out mentally -      Making inferences -      Identifying relations	-
25		6.3 represent and interpret data in histograms with class intervals	draw a histogram based on the frequency table of a grouped data interpret information from given histogram solve problems involving histograms	-      drawing diagrams -      interpreting	-
26 28/6-2/7/10		6.4Represent and interpret data in  Frequency polygons to solve problem	draw the frequency polygon based on: a)       a histogram b)      a frequency table interpret information from a given frequency polygon solve problems involving frequency polygon	-      drawing diagrams -      interpreting	-
26		6.5 Understand the concept of Cumulative frequency	construct the cumulative frequency table for: a)       ungrouped data b)      grouped data draw the ogive for: a)       ungrouped data b)      grouped data	-      working out mentally -      drawing diagrams	-
27   5/7-9/7/10		6.6Understand and use the concept of  Measures of dispersion	determine the range of a set data determine: a)       the median b)      the first quartile c)       the third quartile d)      the interquartile range from the ogive interpret information from an ogive solve problems involving data representations and measures of dispersion	-      interpreting -      identifying relations	-
27	Chapter 7: Probability I	7.1Understand the concept of  Sample space	determine whether an outcome is a possible outcome of an experiment ii. list all the possible outcomes of an experiment: a)       from activities b)      by reasoning iii determine the sample space of an experiment iv write the sample space by using set notations	-      Finding all possible solutions	-
28     12/7-    16/7/10		7.2 Understand the concept of Events	identify the elements of a sample space which satisfy given conditions ii. list all the elements of a sample which satisfy certain conditions using set notations iii determine whether an event is possible for a sample space	-      Finding all possible solutions	-
28		7.3Understand and use the concept of  Probability of an event	find the ratio of the number of times an event occurs to the number of trials ii. find the probability of an event from a big enough of trials iii calculate the expected number of times an event will occur, given the probability of the use event and number of trials solve problems involving probability predict the occurrence of an outcome and make a decision based on known information v.	-      identifying relations	-
29   19/7-23/7/10	Chapter 8: Circles III	8.1 Understand and use the concept of Tangents of a circle	identify tangents to a circle ii. make inference that the tangent to a circle is a straight line perpendicular to the radius that passes through the contact point iii construct the tangent to a circle passing through a point: a)       on the circumference of the circle b)      outside the circle iv. determine the properties related to two tangents to a circle from a given point outside the circle v. solve problems involving tangents to a circle	- Working out mentally - Drawing diagrams - Identifying relations	-
29		8.2 Understand and use the properties of Angle between tangent  and chord	identify the angle in the alternate segment which is subtended by the chord through the contact point of the tangent verify the relationship between the angle formed by the tangent and the chord with the angle in the alternate segment which is subtended by the chord perform calculations involving the angle in alternate segment solve problems involving tangent to a circle and angle in alternate segment	-      identifying relations	-
30   26/7-30/7/10		8.3 Understand and use the properties of common tangents to solve problem	determine the number of common tangents which can be drawn to two circles which: a)       intersect at two points b)      intersect only at one point c)       do not intersect determine the properties related to the common tangent to two circles which: a)       intersect at two points b)      intersect only at one point c)       do not intersect solve problems involving common tangents to two circles solve problems involving tangents and common tangent	-      comparing and differentiating -      Finding all possible solutions -      Identifying relations	-
31   2/8-6/8/10	Chapter 9: Trigonometry II	9.1 Values of sin θ, cos θ  and tan θ .	identify the quadrants and angles in the unit circle determine: a)       the value of y-coordinate b)      the value of x-coordinate c)       the ratio of y-coordinate to x-coordinate of several points on the circumference of the unit circle verify that, for an angle in quadrant I of the unit circle: a)       b)	-    working out mentally -    interpreting -    identifying relations	-
32   3/8-7/8/09			c)       determine the value of: a)       sine b)      cosine c)       tangent of an angle in quadrant I of the unit circle determine the values of: a)       sin θ b)      cos θ c)       tan θ for determine whether the values of: a)       sine b)      cosine c)       tangent of an angle in a specific quadrant is positive or negative determine the values of sine, cosine and tangent for special angles determine the values of the angles in quadrant I which correspond to  the values of the angles in other quadrants   State the relationships between the values of: a)       sine b)      cosine, and c)       tangent of angles in quadrant II, III and IV with their respective values of the corresponding angle in quadrant I Find the values of sine, cosine and tangent of the angles between 90º and 360º Find the angles between 0º and 360º, given the values of sine, cosine and tangent Solve problems involving sine, cosine and tangent
33 16/8-20/8/10		9.2Draw and  use  Graphs of sine, cosine and tangent	draw the graphs of sine, cosine and tangent for angles between 0º and 360º compare the graphs of sine, cosine and tangent for angles between 0º and 360º solve problems involving graphs of sine, cosine and tangent	-       drawing diagrams -       comparing and differentiating -       interpreting	-
34 23/8-27/8/10 35 36	Chapter 10: Angles of Elevation and Depression	10.1Understand and use the concept of  Angle of elevation and angle of depression	identify: a)       the horizontal line b)      the angle of elevation c)       the angle of depression represent a particular situation involving a)       the angle of elevation b)      the angle of depression, using diagrams solve problems involving the angle of elevation and the angle of depression   second mid semester Test CUTI PERTENGAHAN PENGGAL 2 [24-30 OGOS]	-       working out mentally -       drawing diagrams -       identifying relations
37 13/9-17/9/10	Chapter 11: Lines and Planes in 3-dimensions	11.1Understand and use the concept of  Angle between lines and planes	identify planes identify horizontal planes, vertical planes and inclined planes sketch a three dimensional shape and identify the specific planes identify identify normals to a given plane determine the orthogonal projection of a line on a plane draw and name the orthogonal projection of line on plane determine the angle between a line and a plane solve problems involving the angle between a line and a plane	-    Comparing and differentiating -    Working out mentally -    Identifying relations	-
38,39   20/9-1/10/10		11.2Understand and the concept of  Angle between two planes	identify the line of intersection between two planes draw a line on each plane which is perpendicular to the line of intersection of the two planes at a point on the line of intersection determine the angle between two planes on a model and a given diagram   solve problems involving lines and planes in 3-dimensional shapes	-    working out mentally -    drawing diagrams -    identifying relations	-
40,41,42 4/10- 22/10/10			ULANGKAJI	-	-    Revision
			PEPERIKSAAN PENGGAL II [                            ]	-

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