## Points, lines and segmentsHow to differentiate lines, line segments and raysHow to determine the distance between two points How to use the midpoint formula How to use the Perpendicular Bisector theorem How to construct the midpoint or the Perpendicular Bisector of a segment |
## AnglesHow to identify complementary, supplementary, adjacent, vertical and congruent anglesHow to construct an angle bisector How to construct a congruent angle |

## Parallel and perpendicular linesHow to identify parallel,perpendicular and skew linesHow to construct perpendicular and parallel lines |
## Lines in the coordinate planeHow to graph a linear equationHow to determine equations of lines How to determine the slope of lines How to find the distance between a point and a line How to determine equations of perpendicular and parallel lines How to determine the distance between two parallel lines How to slopes of parallel and perpendicular lines |

## TrianglesWhat is the angle-sum theoremWhat is the exterior angle theorem and inequality How to identify medians, altitudes, angle bisectors and perpendicular bisectors What is the triangle inequality theorem |
## Two-dimensional figuresWhat are the properties of interior and exterior angles of polygonsHow to construct a regular hexagon |

## Three-dimensional figuresWhat are the different parts of three-dimensional figuresHow to make cross-sections of three-dimensional figures |
## Congruent figuresHow to identify congruent figuresHow to understand and use SSS and SAS theorems to prove triangles congruent How to understand and use ASA and AAS theorem to prove triangles congruents How to use SSS theorem in the coordinate plane What is the Hypotenuse-leg theorem |

## TransformationsHow to rotate, translate and reflectHow to classify congruence transformations |
## QuadrilateralsHow to classify quadrilateralsWhat are the properties of trapezoids What are the properties of rhombuses What are the properties of kites What are the properties of parallelograms |

## Symmetry and similarityHow to count lines of symmetryHow to draw lines of symmetry How to identify similar figures What are the similarity rules for triangles How to understand and use the triangle proportionality theorem When are two circles similar How to determine areas of similar figures |
## Pythagorean theoremHow to use the converse of the Pythagorean theoremHow to use the Pythagorean inequality theorems |

## TrigonometryWhat are the trigonometric functions of complementary anglesHow to determine the inverses of trigonometric functions What are the laws of Sines and Cosines What are the similar ratios in similar right triangles How to determine trigonometric ratios cos, sin, tan, cot, sec, cosec |
## Area and perimeterHow to determine areas of squares, rectangles, parallelograms, trapezoids and trianglesHow to determine perimeters of triangles, parallelograms and trapezoids How to calculate areas and perimeters in a coordinate plane How to determine area and circumferences of circles How to use the Heron s formula How to calculate areas of compound figures How to calculate the area between two figures |

## Surface area and volumeHow to determine the surface area of prisms and cylindersHow to determine the surface area of pyramids and cones How to determine the volume of prisms and cylinders How to determine the volume of pyramids and cones How to calculate the surface area and volume of similar solids How to calculate the surface areas and volumes of spheres |
## CirclesHow to calculate an arc measure and an arc lengthHow to determine the areas of sectors How to construct a tangent line to a circle How to construct squares and hexagons inscribed in circles How to construct the inscribed or the circumscribed circle of a triangle How to determine the perimeter of polygons with an inscribed circle What is the difference between arcs and chords How to determine the center of a circle in the coordinate plane How to write equations of circles in standard form from graphs How to write equations of circles in standard form using using properties How to graph circles |

## ProbabilityWhat is the difference between theoretical and experimental probabilityHow to determine factorials, permutations and combinations How to determine the number of outcomes of compound events How to differentiate dependent and independent events How to compass directions and vectors How to determine the magnitude of a vector How to add and subtract vectors How to graph a resultant vector using the triangle method How to graph resultant vector using the parallelogram method |