High School Geometry
Age group: 15-19
Content
Geometry
- Surface Area and Volume
- Circles
- Circles and Parabolas in the Coordinate Plane
- Measurement
- 3D Figures
- Vectors
Surface Area and Volume
- Surface Area and Volume of Rectangular Prisms
- Surface Area of Prisms and Cylinders
- Surface Area of Pyramids and Cones
- Surface Area of Spheres
- Volume of Prisms and Cylinders
- Volume of Pyramids and Cones
- Volume of Spheres
- Volume of Compound Figures
- Similar Solids: Find the Missing Length
- Surface Area and Volume of Similar Solids
- Surface Area and Volume: Changes in Scale
- Surface Area and Volume: Assignment
Circles
- Parts of Circle
- Central Angles and Arc Measures
- Understand Arc Length and Sector Area of a Circle
- Arc Length
- Radians and Arc Length
- Area of Sectors
- Arcs and Chords
- Tangent Lines
- Perimeter of Polygons With an Inscribed Circle
- Inscribed Angles
- Angles in Inscribed Right Triangles
- Angles in Inscribed Quadrilaterals
- Angles Formed by Chords, Secants, and Tangents
- Segments Formed by Chords, Secants, and Tangents
- Construct a Tangent Line to a Circle
- Construct an Equilateral Triangle Inscribed in a Circle
- Construct a Square in a Circle
- Construct a Regular Hexagon Inscribed in a Circle
- Construct the Inscribed or Circumscribed Circle of a Triangle
- Circles: Assignment
Circles: Assignment
- Revise the Concepts
Circles and Parabolas in the Coordinate Plane
- Find the Center of a Circle
- Find the Radius or Diameter of a Circle
- Determine If a Point Lies on a Circle
- Write Equations of Circles in Standard Form from Graphs
- Convert Equations of Circles from General to Standard Form
- Find Properties of Circles from Equations in General Form
- Graph Circles from Equations in General Form
- Find the Vertex of a Parabola
- Find the Focus or Directrix of a Parabola
- Find the Axis of Symmetry of a Parabola
- Write Equations of Parabolas in Vertex Form from Graphs
- Write Equations of Parabolas in Vertex Form Using the Focus and Directrix
- Write Equations of Parabolas in Vertex Form Using Properties
- Convert Equations of Parabolas from General to Vertex Form
- Find Properties of a Parabola from Equations in General Form
- Graph Parabolas
Measurement
- Convert Rates and Measurements: Customary Units
- Convert Rates and Measurements: Metric Units
- Convert Square and Cubic Units of Length
- Precision
- Greatest Possible Error
- Minimum and Maximum Area and Volume
- Percent Error
- Percent Error: Area and Volume
- Calculate Density, Mass, and Volume
- Geometric Modelling and Design
3D Figures
- Parts of Three-dimensional Figures
- Three-dimensional Figure Vocabulary
- Nets and Drawings of Three-dimensional Figures
- Cross Sections of Three-dimensional Figures
- Solids of Revolutions
- 3D Figures: Assignment
Vectors
- Compass Directions and Vectors
- Find the Magnitude of a Vector
- Find the Component Form of a Vector
- Find the Component Form of a Vector Given Its Magnitude and Direction Angle
- Graph a Resultant Vector Using the Triangle Method
- Add Vectors
- Subtract Vectors
- Vectors: Assignment
Vectors: Assignment
- Revise the Concepts
Prerequisites
Should have completed the middle school maths
Enthuziasm to learn higher maths
Objectives
Engage in real-world applications: Connect geometric concepts to real-world situations and other areas of mathematics, demonstrating the practical applications of geometry in various fields.
Integrate algebra with geometry: Apply algebraic methods to solve geometric problems, including the use of coordinate geometry and systems of equations in geometric contexts.
Utilize technology: Use dynamic geometry software and tools to visualize and explore geometric concepts, enhancing spatial reasoning and problem-solving skills.
Explore advanced theorems: Gain a deep understanding of advanced theorems such as those related to circles, polygons, and three-dimensional shapes, and apply these theorems to solve complex problems.
Master complex geometric proofs: Develop proficiency in constructing and deconstructing advanced geometric proofs, including coordinate and transformational proofs.
Outcomes
Mastery of calculating the surface area and volume of various geometrical figures
Conceptual clarity on the properties of circles
Understanding of measurement and unit conversion
Better grades in exam
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