- Number Systems:
– Rational and irrational numbers.
– Operations with exponents and scientific notation.
– Understanding square roots and cube roots. - Algebra:
– Solving linear equations and inequalities with one variable.
– Systems of equations with two variables.
– Factoring quadratic expressions. - Geometry:
– Properties of angles and triangles (e.g., Pythagorean theorem, special triangles).
– Similarity and congruence of figures.
– Trigonometry basics (sine, cosine, tangent) for right-angled triangles. - Coordinate Geometry:
– Plotting and analyzing points on the coordinate plane.
– Calculating distance and midpoint between two points. - Data Analysis and Probability:
– Advanced data interpretation from various types of graphs and charts.
– Calculating probability for independent and dependent events. - Functions:
– Understanding basic concepts of functions (domain, range, mapping).
– Graphing linear and exponential functions. - Statistics:
– Measures of central tendency and variability for large datasets.
– Constructing and interpreting box-and-whisker plots. - Ratios, Proportions, and Percentages:
– Solving problems involving proportions and percentages.
– Applications of percentage increase and decrease. - Real Numbers and Operations:
– Understanding properties of real numbers (associative, commutative, distributive).
– Solving problems involving mixed operations with real numbers. - Word Problems and Applications:
– Complex word problems involving multiple concepts and operations.
– Applying mathematical skills to real-life scenarios and practical situations.
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