Geometry Curriculum

1. Fundamentals of Geometry (MP 1 - Map #1)
Undefined and defined terms
Properties of perpendicular lines
Properties of parallel lines
Solving equations
Midpoint formula


2. Triangles (MP 1 - Map #2)
Types of Triangles (Acute, Equiangular, Right, Obtuse, Equilateral, Isosceles and Scalene)
Sum of Angles in a Triangle
Pythagorean Theorem
Special Right Triangles
Solve Problems Using Properties of Triangles (Medians and Altitudes)


3. Polygons (MP 2 - Map #3)
Identify types of polygons (by number of sides, convex, concave)
Measure interior and exterior angles of polygons (sum and each angle of equilateral and regular polygons)
Identify special types of quadrilaterals (kites, trapezoids and parallelograms)
Properties of special parallelograms


4. Applications of Area, Perimeter and Circumference (MP 2 - Map #4)
Find perimeter and area of quadrilaterals.
Determine the areas of regular polygons.
Find the circumference and area of circles.


5 (a). Solids (MP 2 - Map #5 (Assured Experiences 1 & 2))
Identify parts and properties of solid figures
Identify types of solid figures (e.g. prisms, cylinder, cones, pyramids and spheres)
Use nets to create polyhedrons
Surface area and volume
Use concepts and formulas of solids to solve real-life problems


5 (b). Solids (MP 3 - Map #5 (Assured Experiences 3 & 4))
Identify parts and properties of solid figures
Identify types of solid figures (e.g. prisms, cylinder, cones, pyramids and spheres)
Use nets to create polyhedrons
Surface area and volume
Use concepts and formulas of solids to solve real-life problems


6. Similarity and Congruence (MP 3 - Map #6)
Use ratios and proportions to solve problems
Use proportion relationships to solve real world problems
Identify similar polygons
Use properties of similar figures to prove that triangles are similar
Proving triangle congruence


7. Transformations (MP 4 - Map #7)
Lines of Symmetry
Reflections, Rotations and Translations
Tessellations
Dilations


8. Circles (MP 4 - Map #8)
Identify parts of a circle
Use properties of inscribed angles
Find angles formed by tangents, chords and secants
Use properties of tangents, chords and arcs