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DSKP KSSM MATHEMATICS FORM 1 BY GROUP 1 - Coggle Diagram
DSKP KSSM MATHEMATICS FORM 1 BY
GROUP 1
CHAPTER 1: RATIONAL NUMBERS
1.3 POSITIVE AND NEGATIVE FRACTIONS
1.3.1 Represent on number lines
1.3.2 Compare & arrange orderly
1.3.3 Computation involving combined basic arithmetic operations
1.3.4 Solve Problems
1.4 POSITIVE AND NEGATIVE DECIMALS
1.4.1 Represent on number lines
1.4.2 Compare & arrange in order
1.4.3 Computation involving combined basic arithmetic operations
1.4.4 Solve problems
1.1 INTEGERS
1.1.1 Recognize positive & negative numbers
1.1.2 Recognize & describe
1.1.3 Represent integers on number lines
1.1.4 Compare and arrange in order
1.5 RATIONAL NUMBERS
1.5.1 Recognize & describe
1.5.2 Computation involving combined basic arithmetic operations
1.5.3 Solve problems
1.2 BASIC ARITHMETIC OPERATIONS INVOLVING INTEGERS
1.2.1 Add & Subtract
1.2.2 Multiply and divide
1.2.3 Perform combined basic arithmetic operations
1.2.4 Describe the law of arithmetic
1.2.5 Perform efficient computation
1.2.6 Solving problem
CHAPTER 12: DATA HANDLING
12.1 DATA COLLECTION, ORGANIZATION AND REPRESENTATION PROCESS, AND INTERPRETATION OF DATA REPRESENTATION
12.1.1 GENERATE STATISTICAL QUESTIONS & COLLECT RELEVANT DATA
12.1.2 CLASSIFY DATA AS CATEGORICAL OR NUMERICAL & CONSTRUCT FREQUENCY TABLES
12.1.3 CONSTRUCT DATA REPRESENTATION FOR UNGROUPED DATA & JUSTIFY THE APPROPRIATENESS OF DATA REPRESENTATION.
12.1.4 CONVERT A DATA REPRESENTATION TO OTHER SUITABLE DATA REPRESENTATIONS WITH JUSTIFICATION.
12.1.5 INTERPRET VARIOUS DATA REPRESENTATIONS INCLUDING MAKING INFERENCES OF PREDICTIONS.
12.1.6 DISCUSS THE IMPORTANCE OF REPRESENTING DATA ETHICALLY IN ORDER TO AVOID CONFUSION.
CHAPTER 3: SQUARE, SQUARE ROOTS, CUBES AND CUBE ROOTS
3.1 SQUARES AND SQUARE ROOTS
3.1.1 Explain the meaning
Square
Perfect Square
3.1.2 Determine perfect square
3.1.3 Relationship between square & square roots
3.1.4 Determine of square number
3.1.5 Determine of square root
3.1.6 Determine the square roots (positive number)
3.1.7 Estimation of square and square roots number
3.1.8 Making generalisation
3.1.9 Solve problem (square and square roots)
3.2 CUBES AND CUBE ROOTS
3.2.1 Explain Cube and perfect cube
3.2.2 Determine perfect cube
3.2.3 Relationship between cubes and cube roots
3.2.4 Determine the cubes
3.2.5 Determine the cube roots (without using technological tools)
3.2.6 Determine cube roots (with using technological tools)
3.2.7 Estimation of cube and cube roots
3.2.8 Solve problem (cube and cube roots)
3.2.9 Perform Computations
CHAPTER 13: THE PYTHAGORAS THEOREM
13.1 THE PYTHAGORAS THEOREM
13.1.1 Identify & define hypotenuse
13.1.2 Determine the relationship of right-angled triangle and hypothenuse
13.1.3 Determine the unknown length
13.1.4 Solve problems
13.2 THE CONVERSE OF PYTHAGORAS THEOREM
13.2.1 Determine & justify right-angled triangle
13.2.2 Solve problems
CHAPTER 2: FACTORS AND MULTIPLES
2.1 FACTORS, PRIME FACTORS AND HIGHEST COMMON FACTOR (HCF)
2.1.1 Determine and list factors
2.1.2 Determine & list prime factors
2.1.3 Explain & determine common factors
2.1.4 Determine HCF
2.1.5 Solve problem (HCF)
2.2 MULTIPLES, COMMON MULTIPLES AND LOWEST COMMON MULTIPLE (LCM)
2.2.1 Explain & determine common multiples
2.2.2 Determine LCM
2.2.3 Solve problem (LCM)
CHAPTER 5: ALGEBRAIC EXPRESSIONS
5.1 VARIABLES AND ALGEBRAICS EXPRESSIONS
5.1.1 Represent letter with unknown values
5.1.2 Derive algebraic expressions
5.1.3 Determine the value of algebraic expressions
5.1.4 Identify terms in algebraic expression
5.1.5 Identify
like terms
unlike terms
5.2 ALGEBRAIC EXPRESSIONS INVOLVING BASIC ARITHMETIC OPERATIONS
5.2.1 Add & subtract
5.2.2 Repetition of multiplication
5.2.3 Multiply & devide
CHAPTER 10: PERIMETER AND AREA
10.2 AREA OF TRIANGLES, PARALLELOGRAMS, KITES AND TRAPEZIUMS
10.2.1 ESTIMATE THE AREA OF VARIOUS SHAPES USING VARIOUS METHODS
10.2.2 DERIVE THE FORMULAE OF TRIANGLES, PARALLELOGRAMS, KITES AND TRAPEZIUMS BASED ON THE AREA OF RECTANGLES.
10.2.3 SOLVE PROBLEMS INVOLVING AREAS OF TRIANGLES, PARALLELOGRAMS, KITES, TRAPEZIUMS & THE COMBINATIONS OF THESE SHAPES.
10.3 RELATIONSHIP BETWEEN PERIMETER AND AREA
10.3.1 MAKE AND VERIFY THE CONJECTURE ABOUT THE RELATIONSHIP BETWEEN PERIMETER AND AREA
10.3.2 SOLVE PROBLEMS INVOLVING PERIMETER AND AREA OF VARIOUS SHAPES
10.1 PERIMETER
10.1.1 DETERMINE THE PERIMETER OF VARIOUS SHAPES
10.1.2 ESTIMATES THE PERIMETER OF VARIOUS SHAPES & THEN EVALUATE THE ACCURACY OF ESTIMATION
10.1.3 SOLVE PROBLEMS INVOLVING PERIMETER
CHAPTER 11: INTRODUCTION TO SET
11.1 SET
11.1.1 Explain the meaning of set
11.1.2 Describe sets using description, listing, and set builder notation
11.1.3 Identify whether an object is an element of a set and represent the relation using symbol.
11.1.4 Determine the number of elements of a set and represent the number of elements using symbol.
11.1.5 Compare and explain whether two or more sets are equal and hence, make generalisation about the equality of sets.
11.2 VENN DIAGRAMS, UNIVERSAL SETS, COMPLEMENT OF A SET AND SUBSETS
11.2.1 Identify and describe universal sets and
complement of a set.
11.2.2 Represent the relation of a set and universal set, and complement of a set through Venn diagrams.
11.2.3 Identify and describe the possible subsets of a set.
11.2.4 Represent subsets using Venn diagrams.
11.2.5 Represent the relations between sets, subsets, universal sets and complement of a set using Venn diagrams.
TP1: Demonstrate the basic knowledge of sets.
TP2: Demonstrate the understanding of sets.
TP3: Apply the understanding of sets.
CHAPTER 9: BASIC POLYGONS
9.2 PROPERTIES OF TRIANGLES AND THE INTERIOR AND EXTERIOR ANGLES OF TRIANGLES
9.2.1 Geometric properties of various types of triangles.
9.2.2 Sum of interior angles and exterior angles
9.2.3 Solve Triangles problems
9.3 PROPERTIES OF QUADRILATERALS AND THE INTERIOR AND EXTERIOR ANGLES OF QUADRILATERALS
9.3.1 Geometric properties of various types of quadrilaterals
9.3.2 The sum of interior angle and adjacent exterior angle of a quadrilateral
9.3.3 Solve problems involving quadrilaterals
9.3.4 Combinations of triangles and quadrilaterals
9.1 POLYGONS
9.1.1 Number of sides, vertices and diagonals of polygons
9.1.2 Draw polygons, label,name polygons
CHAPTER 7: LINEAR INEQUALITIES
7.2 LINEAR INEQUALITIES IN ONE VARIABLE
7.2.1 Form linear inequalities
7.2.2 Linear inequalities in variable
7.2.3 Simultaneous linear inequalities
7.1 INEQUALITIES
7.1.1 Compare and describe inequality and hence form algebraic inequality
7.1.2 Generalisation about inequality in basic operation
CHAPTER 4: RATIOS, RATES AND PROPORTIONS
4.3 PROPORTIONS
4.3.1 Relationship between ratios and proportions
4.3.2 Determine unknown value
4.1 RATIOS
4.1.1 Represent relationship 3 quantities
4.1.2 Identify equivalent ratios
4.1.3 Express ratios of 2 or 3 quantities
4.5 RELATIONSHIP BETWEEN RATIOS, RATES AND PROPORTIONS WITH PERCENTAGES, FRACTIONS AND DECIMALS
4.5.1 Relationship of percentage and ratios
4.5.2 Determine percentage
4.5.3 Solve problem (with percentages, fractions and decimals)
4.2 RATES
4.2.1 Relationship between ratios and rates
4.4 RATIOS, RATES AND PROPORTIONS
4.4.1 Determine (3 quantities)
4.4.2 Related value
Ratio of 2 quantities & value of 1 quantity
Ratio of 3 quantities & value of 1 quantity
4.4.3 Determine the related value to rates
4.4.4 Solve problem (ratios, rates, proportions)
CHAPTER 6: LINEAR EQUATIONS
6.1 LINEAR EQUATIONS IN ONE VARIABLE
6.1.1 IDENTIFY AND DESCRIBE THE CHARACTERISTIC OF THE LINEAR EQUATIONS
6.1.2 FORM A LINEAR EQUATIONS
6.1.3 SOLVE LINEAR EQUATIONS
6.1.4 SOLVE PROBLEM INVOLVING LINEAR EQUATIONS
6.2 LINEAR EQUATIONS IN TWO VARIABLES
6.2.1 IDENTIFY AND DESCRIBE THE CHARACTERISTIC OF THE LINEAR EQUATION
6.2.2 FORM A LINEAR EQUATION BASED ON THE STATEMENT
6.2.3 DETERMINE & EXPLAIN POSSIBLE SOLUTIONS
6.2.4 REPRESENT GRAPHICALLY THE LINEAR EQUATIONS
6.3 SIMULTANEOUS LINEAR EQUATIONS IN TWO VARIABLES
6.3.1 FORM, REPRESENT GRAPHICALLY, AND EXPLAIN THE MEANING OF SIMULTANEOUS LINEAR EQUATIONS
6.3.2 SOLVE SIMULTANEOUS LINEAR EQUATIONS USING VARIOUS METHODS
6.3.3 SOLVE PROBLEMS INVOLVING SIMULTANEOUS LINEAR EQUATIONS
CHAPTER 8: LINES AND ANGLES
8.2 ANGLES RELATED TO INTERSECTING LINES
8.2.1 Identify, explain and draw vertically opposite angles
8.2.2 Values of angles related to intersecting lines
8.2.3 Solve angles related problems
8.3 ANGLES RELATED TO PARALLEL LINES AND TRANSVERSALS
8.3.1 Parallel lines and transversals
8.3.2 Corresponding angles, alternate angles and interior angles.
8.3.3 Straight lines are parallel based on the properties of angles
8.3.4 Values of angles
8.3.5 Recognise and represent angles of elevation
8.3.6 Angles related to parallel lines & tranversals
8.1 LINES AND ANGLES
8.1.1 Line segment and angles
8.1.2 Measure line segment and angles
8.1.3 Recognise, compare and explain straight, reflex and whole angles
8.1.4 Complementary, supplementary and conjugate angles
8.1.5 Solve problem in angles
8.1.6 Rationale of construction steps for line segments
8.1.7 Construct & bisector angles