(Grade 7-9)
Geometry aims to improve math proficiency and problem solving skills to prepare students for higher mathematics such as Algebra 2 and Precalculus. Topics include:
- Angles
- Triangle similarity and area
- Circles including Power of Point
- Quadrilaterals and Polygons
- Transformations and Coordinate geometry
- Basic trigonometry
Contents
Section 0: Introduction
- Intro: people intro, course run through, geometry preliminaries
- Names and symbols
- Points, lines, planes, circles, and triangles.
Section 1: Angles
- Angle basics
- Review
- Supplementary and complementary angles
- Vertical and straight angles
- Parallel lines
- Angles in triangles
- Basics
- Exterior angles
- Different triangles
Section 2: Triangles
- Congruence
- Conditions
- Problem solving
- Perimeter and Area
- Basics
- Base and altitude
- Similarity
- Conditions
- Problem solving
- Involving area, side length, etc.
- Right triangles and trigonometry
- Right triangle basics
- Pythagorean theorem review
- Basic trigonometry
- Triangle Properties
- Special points
- Incenter, Circumcenter, Orthocenter
- Special lines
- Altitude, Median, Angle bisector
- Triangle special formulas
- Law of sines and law of cosines
Section 3: Quadrilaterals and Polygons
- Quadrilaterals
- Basics
- Problem solving using past knowledge
- Special quadrilaterals – parallelograms, rectangles, rhombuses, squares
- Polygons
- Angles
- Use of exterior angles
- Problem solving
Section 4: Circles
- Circle basics
- Arcs
- Circumferences
- Area
- Basics
- Area problem solving
- Angles
- Inscribed angles
- Secants and tangents
- Power of Point
- Basics
Section 5: 3D geometry
- 3D shapes
- Cone, cylinder, pyramid, polyhedra
Section 6: Transformations and Coordinate Geometry
- Transformations
- Basic: reflection, dilation, translation
- Coordinate Geometry
- Graphing
- Lines and circles
Syllabus:https://school.thinkland.ai/syllabus/
Curriculum:https://school.thinkland.ai/curriculum.pdf