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)
   

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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. 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
   
   

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6. 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
   
   
7. 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
   
   

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8. Transformations (MP 4 - Map #7)
   Lines of Symmetry
   Reflections, Rotations and Translations
   Tessellations
   Dilations
   
   
9. 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