KG Elementary Middle High School
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Mathematics 10 month Plan for High School

Grade 9
1st M 2nd M 3rd M 4th M 5th M
Points lines and plans
- Definitions
- Measure and precision
- Distance and midpoints
- Angle relationship
- polygons

Reasoning and proof
- Inductive reasoning and conjecture
- Logic
Reasoning and proof
- Conditional statement
- Deductive reasoning
- Postulates reasoning
- Algebraic proof
- Proving segment / angle relations

Parallel and perpendicular
- Parallel and transverse lines
- Angles and parallel lines
- Slopes / equations of lines
Parallel and perpendicular
- Proving lines parallel
- Perpendicular and distance

Congruent triangles
- Classifying triangle
- Angles in triangle
- Congruent triangles
- Proving congruence
- Isosceles triangle
- Triangles and coordinate proof
Relationship in triangles
- Bisectors, medians and altitudes
- Inequalities and triangles
- Indirect proof
- The triangle inequality
- Inequalities in two triangles
                     
Properties and similarity
- Proportions
- Similar polygons and triangles
- Parallel lines and proportional parts
- Parts of similar triangle
                       
Right angles and trigonometry
- Geometric mean
- The Pythagorean thm and its converse
- Special right triangles
- Trigonometry
6th M 7th M 8th M 9th M 10th M
Right angles and trigonometry
- angles of elevation and depression
- the low of sines
- the low of cosines
Quadrilaterals and circles
- Angles of polygon
- Parallelograms
- Rectangles, rhombi and square
- Coordinate proof with quadrilaterals
- Transformation
- Reflection
- Translation and rotations
- Dilations
- Vectors
                          
Transformation
- Matrix transformations

Circles
- Circles and circumferences
- Angles and arcs
- Arcs, chords and inscribed angles
- Tangents, secants and angle measurement
- Segments in circles
- Equation of a circle

Area of polygons and circles
- Area of parallelograms , triangles ,trapezoids and rhombi
- Area of irregular figures
Area of polygons and circles
- Geometric probability

Surface Area
- Three dimensional figures
- Nets and surface area
- Surface are of prisms and cylinder
- Surface area of pyramids and cons
- Surface are of spheres

Volume
- Volume of prisms and cylinders
- Volume of pyramids and cons
- Volume of spheres
- Congruent and similar solids
Volume
- Coordinates in space
 



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