Course overview
This course combines essential concepts from Algebra and Geometry to build strong problem-solving and logical thinking skills. Students will learn how to work with equations, graphs, shapes, and spatial reasoning. The course is designed to help students make connections between algebraic expressions and geometric figures, preparing them for advanced math and real-world applications.
What you’ll learn
By the end of this course students will be able to:
Key topics covered
- 1Variables, Expressions and Equations
- 2
Linear and Quadratic Functions
- 3
Systems of Equations and Inequalities
- 4Coordinate Geometry, Triangles, Angles and Parallel Lines
- 5Perimeter, Area, Surface Area and Volume
- 6Transformations (Reflections, Rotations, Translations, Dilations)
Course curriculum
Objective: To strengthen students’ understanding of algebraic expressions, equations, and functions while building confidence in manipulating variables.
Algebraic Expressions & Equations
Simplifying expressions
Solving linear and multi-step equations
Functions and Graphs
Understanding functions and relations
Graphing linear and quadratic functions on the coordinate plane
Objective: To develop students’ spatial reasoning and understanding of the properties of two and three-dimensional shapes.
Triangles and Angles
Angle relationships (complementary, supplementary, vertical)
Properties of triangles and triangle inequality theorem
Coordinate and Plane Geometry
Distance and midpoint formulas
Parallel and perpendicular lines
Polygon properties and symmetry
Objective: To apply geometric formulas for real-world problem solving and understand how shapes change under transformations.
Area, Surface Area and Volume
Finding area and perimeter of 2D shapes
Surface area and volume of 3D solids
Transformations and Congruency
Translations, reflections, rotations, and dilations
Proving congruence and similarity using transformations
