Unit: Congruency Chapter: Angle Sum Property Reference: – Triangle Angle Sum Theorem, Exterior Angle Theorem, Interior Angles of a Polygon, Exterior Angles of a Polygon, Base Angles Theorem (Isosceles Triangle Theorem), Equilateral Triangle Angle Property, Angle Properties of Right Triangles, Angles in Special Quadrilaterals After studying this chapter, you should be able to understand: Triangle […]
Unit: Congruency Chapter: Congruence in Lines and Angles Reference: – Basic Angle Relationships, Parallel Lines and Transversals, Perpendicular Lines and Angle Congruence, Triangle Angle Properties, Angle Congruence Theorems & Proofs, Applications & Problem-Solving After studying this chapter, you should be able to understand: Geometry: – Lines & Angles Basic Angle Relationships & Parallel Lines and […]
Unit: Congruency Chapter: Rigid motions & congruency Reference: – Rigid Motions (Isometries), Congruence Through Rigid Motions, Congruent Triangles & Triangle Congruence Criteria, Congruence in Other Polygons, Coordinate Geometry & Rigid Motions, Applications & Problem-Solving After studying this chapter, you should be able to understand: Rigid Motions (Isometries) Congruence Through Rigid Motions & Congruent Triangles Congruence […]
Unit: Theorems & Postulates Chapter: Euclid's Definitions, Postulates and Axioms Reference: – Fundamental Definitions, Euclid's Five Postulates, Common Notions (Axioms), Applications of Euclidean Geometry, Logical Deduction in Mathematics, Properties of Geometric Figures, Proof Structures, Role of Euclid in Mathematics, Influence on Modern Geometry, Non-Euclidean Geometry, Parallel Postulate and Its Implications, Modern Developments in Axiomatic Systems, […]
Unit: Cartesian Coordinate System Chapter: Cartesian Plane and Plotting of a Point Reference: – Cartesian Plane and Coordinates, Distance and Section Formula, Collinearity of Points, Area of Geometric Figures, Straight Line Concepts, Reflection and Symmetry, Locus of a Point, Transformation of Coordinates After studying this chapter, you should be able to understand: Cartesian Plane and […]
Unit: Exploring Two – Variable Data Chapter: Linear Regression Models & Residual plots Reference: – Simple Linear Regression, Slope & Intercept, Residual & Residual Plots, Positive & Negative Residuals, Assumptions of Linear Regressions, Linearity & Normality, Influential points & Outliers, Transformations & Non-linear relationships, Coefficient of Determination, Model Assessment & Inference, Applications. After studying this […]
Unit: Exploring Two – Variable Data Chapter: Associations & Interpreting Correlations Reference: – Correlation coefficient, Scatter plots, Causation vs correlation, Pearson correlation coefficient, Spearman rank correlation, Kendall’s Tau, Coefficient of determination, Confounding variables, Outliers, strength of correlation. After studying this chapter, you should be able to understand: Correlation coefficient & Scatter plots. Causation vs correlation […]
Unit: Exploring Two – Variable Data Chapter: Bivariate quantitative data using scatter plots Reference: – Scatter plot construction, Correlation, Best fit line, Regression line, Strength of relationship, outliers, Causation, Residual plots, Influential points, Transformation, Interpreting scatter plots After studying this chapter, you should be able to understand: Introduction to Scatter plot construction, Correlation. Regression line […]
Unit: Exploring Two – Variable Data Chapter: Represent & Statistics for 2 Categorical Variables Reference: – Two-way Tables, Constructing & Interpreting, Marginal & Conditional frequencies, Joint, Marginal & Conditional distribution, Segmented Bar chart & Stacked Bar chart, Relative Risk & Odds Ratio, Independence & Association of Data, Conditional Probability & Independence, Simpson’s Paradox, Categorical Data […]
Unit: Exploring One – Variable Data Chapter: Comparing Data Distribution with The Normal Distribution Reference: – Data Distribution, Describing data, Central Tendency, Normal Distribution, Bell shaped curve, Symmetry, Empirical rule, Z- Scores & Percentiles, Normal Probability plots, Central Limit Theorem, Sampling Distribution, Hypothesis Testing, Confidence Intervals After studying this chapter, you should be able to […]