Specific Competence: Students should be able to understand and use positive, negative, zero, and fractional indices. They should also apply the rules of indices and solve equations that involve indices. Learning Activities: Studying how different types of indices work, practicing applying the rules of indices to simplify expressions, and solving equations that include indices. Expected Standard: Students will correctly simplify expressions with different types of indices and accurately solve equations involving indices.
Specific Competence: Students should be able to change numbers between different number systems (like base 2, 5, 8, and 10), understand bicimals, and perform basic math operations in these different number bases. Learning Activities: Practicing converting numbers between number bases, learning about bicimals, and doing addition, subtraction, multiplication, and division in different number bases. Expected Standard: Students will accurately convert numbers between given bases, explain bicimals, and correctly perform arithmetic operations in different number systems.
Specific Competence: Students should be able to solve linear equations and inequalities with one or two unknown values, rearrange formulas, find solutions by drawing graphs, use elimination and substitution methods, and show solution areas by shading them. Learning Activities: Solving different types of linear equations and inequalities, practicing rearranging formulas, graphing equations and inequalities to find solutions, applying elimination and substitution methods, and shading solution regions on a graph. Expected Standard: Students will correctly solve linear equations and inequalities using different methods, rearrange formulas, and accurately represent solutions graphically.
Specific Competence: Students should be able to factorise algebraic expressions, work with algebraic fractions, and apply the Remainder and Factor Theorems using long division, synthetic division, and cubic factorisation. Learning Activities: Practicing factorisation of expressions, simplifying and operating with algebraic fractions, learning and applying the Remainder and Factor Theorems, and performing long and synthetic division for polynomials. Expected Standard: Students will accurately factorise expressions, simplify algebraic fractions, and correctly apply theorems to factorise cubic expressions.
Specific Competence: Students should be able to identify different types of matrices, determine their order, find the transpose, perform addition, subtraction, and scalar multiplication. They should also calculate determinants, find the inverse of 2x2 and 3x3 matrices, and use matrices to solve simultaneous equations. Learning Activities: Identifying and classifying different matrices, practicing matrix operations (addition, subtraction, multiplication by a number), calculating determinants, finding inverse matrices, and solving systems of equations using matrices. Expected Standard: Students will correctly perform matrix operations, calculate determinants and inverses, and accurately solve simultaneous equations using matrices.
Specific Competence: Students should be able to understand and apply concepts of direct, inverse, joint, and partial variation, representing these relationships both algebraically and graphically. Learning Activities: Studying different types of variation, solving problems involving direct, inverse, joint, and partial variation, and drawing graphs to show these relationships. Expected Standard: Students will correctly identify and solve problems involving different types of variation and accurately represent them using equations and graphs.
Specific Competence: Students should be able to identify and describe 3D shapes (prisms, cones, pyramids, cylinders), draw their nets, and calculate their surface area and volume. Learning Activities: Examining and drawing 3D shapes and their flat patterns (nets), practicing formulas to calculate the surface area of different 3D shapes, and calculating the volume of prisms, cones, pyramids, and cylinders. Expected Standard: Students will accurately identify 3D shapes, draw their nets, and correctly calculate their surface area and volume.
Specific Competence: Students should be able to identify lines of symmetry, rotational symmetry, its order, and axis in different figures and shapes. Learning Activities: Identifying and drawing lines of symmetry in different shapes, finding the order of rotational symmetry, and recognizing symmetry in geometric figures. Expected Standard: Students will correctly identify and describe different types of symmetry in given figures.
Specific Competence: Students should be able to understand basic probability concepts, calculate probabilities from experiments, determine theoretical probabilities, and find the probability of combined events. Learning Activities: Conducting simple probability experiments, calculating the chance of events happening, understanding the difference between experimental and theoretical probability, and solving problems involving multiple events. Expected Standard: Students will correctly calculate basic probabilities, understand experimental and theoretical probability, and solve problems involving combined events.
