Geometry Proficiency Program

Overview

The Catchup Math Geometry Proficiency Program reviews the course content covered in Geometry textbooks and is divided into six sequential sections. Pre-tests (quizzes) are given for each section, and students are assigned lessons based on incorrect answers. Re-teaching includes text lessons (in both English and Spanish), videos, activities, and practice problems with tutorial solutions. A student takes repeat quizzes and receives lesson-prescriptions until passing each section. Teachers can review student work written on our online whiteboard. Material from earlier courses and sections is often included and even repeated.

Section 1

Angle Bisector, Angle Sum Theorem, Converse, Inverse and Contrapositive, Corresponding Angles, Corresponding Angles Postulate, Distance Formula, Midpoint Formula, Perpendicular Lines, Planes, Point-Slope Form, Properties of Congruence, Slope, SSS Postulate, Transformations of Graphs, Transversal, Triangles, Vertical Angles.

Section 2

45-45-90 Triangles, Adding and Subtracting Fractions, Angle Sum Theorem, Centroid of a Triangle, Combining Like Terms, Compound Inequalities, Congruent Angles, Cross Products, Diagonals of a Parallelogram, Linear Pair, Medians of a Triangle, Midsegment of a Trapezoid, Parallelogram, Quadrilaterals, Rhombus, SAS Similarity, Simplifying Radical Expressions, Supplementary Angles, Triangle Inequality Theorem.

Section 3

AA Similarity, Angle of Elevation and Depression, Arcs, Areas of Regular Polygons, Cylinder, Law of Detachment, Law of Syllogism, Perimeter, Polygon Interior Angles Sum Theorem, SAS Similarity, Similar Triangles, Surface Area of a Cylinder.

Section 4

30-60-90 Triangles, 45-45-90 Triangles, AA Similarity, Alternate Interior Angles Theorem, Angle Bisector Theorem, Angle Sum Theorem, Kites, Law of Cosines, Law of Sines, Proportions, Pythagorean Theorem, Quadrilaterals, Reciprocals, Reducing Fractions, SAS Similarity, Scale Factor, Simplifying Radical Expressions, Triangle Midsegment Theorem.

Section 5

30-60-90 Triangles, Angle of Rotation, Arcs, Area, Circumference, Geometric Mean, Intersecting Chords, Permutations, Probability, Pyramid, Reducing Fractions, Sectors, Supplementary Angles, Transformations of Graphs, Trapezoid.

Section 6

Area, Circumference, Intersecting chords, Isosceles Triangle Theorem, Polygon exterior angle sum theorem, Polygon Interior Angles Sum Theorem, Polygons, Standard Equation of a Circle, Surface Area of a Cone, Triangle Proportionality Theorem, Trigonometric Ratios, Volume.