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Geometry (Khan v.8.21.2016) STUDENT___________________________ Unit 1: Mission Foundations 1 2 3 4 5 6 Unit 2: Geometry Foundations 1 2 3 4 5 6 7 8 9 10 11 21 22 23 24 25 26 27 28 29 30 31 12 13 14 15 16 17 18 19 20 You may have to jump down and do Unit 6: sets 1 & 2 before you can do problem sets 23+, as you may need to use the Pythagorean Theorem in your solutions. Unit 3: Transformations 1 2 3 4 5 6 7 8 6 7 8 9 10 10 11 12 13 14 11 12 13 14 Unit 4: Congruence 1 2 3 4 5 4 5 Unit 5: Similarity 1 2 3 Unit 6: Right Triangles and Trigonometry 1 2 3 4 5 6 5 6 7 8 9 Unit 7: Solid Geometry 1 2 3 4 Unit 8: Analytic Geometry 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 Unit 9: Circles 1 2 3 10 15 Geometry (Khan v.8.21.2016) STUDENT___________________________ Unit 1: Mission Foundations Points on the coordinate plane Find perimeter when given side lengths Two step equations Solving proportions Name angles Volume with fractions Points, lines, and planes Geometric definitions Measure angles Equation practice with vertical angles Line and angle proofs Complementary and supplementary angles Finding angle measures 1 Equation practice with angle addition Finding angle measures 2 Quadrilateral types Quadrilateral angles Area of triangles 2: Geometry Foundations Identify rays, lines, and line segments Angle types Draw rays, lines and line segments Vertical angles Parallel lines Angles of a polygon Equation practice with congruent angles Triangle Inequality Theorem Area of parallelograms Area of trapezoids Area of shapes on grids Area of composite shapes Area of a circle Shaded areas Radius & diameter from circumference Nets of polyhedra Radius, diameter, and circumference Surface area using nets Surface area 3: Transformations Perform Translations Perform Rotations Perform Reflections Translate shapes Determine translations Determine rotations Rotate shapes Reflect shapes Determine reflections Perform Dilations Dilate shapes Determine dilations Sequences of transformations Identify transformations Symmetry of 2D shapes Congruence & transformations Determine mappings Determine congruent triangles Find angles in congruent triangles Find angles in triangles Determine similar triangles: SSS Solve similar triangles (basic) 4: Congruence 5: Similarity Similarity & transformations Solve similar triangles (advanced) Similarity & transformations (advanced) Solve triangles: angle bisector theorem Determine similar triangles: AA Use similar and congruent triangles Geometry (Khan v.8.21.2016) STUDENT___________________________ 6: Right Triangles and Trig Pythagorean theorem PT word problems Special right triangles Trig ratios in right triangles Solve for an angle in a right triangle Right triangle world problems Solve triangles using the law of sines Solve triangles using the law of cosines Solve for a side in a right triangle General triangle word problems 7: Solid Geometry Solid Geometry Solid geometry word problems Density word problems Cross sections of 3D objects (basic) Cross section of 3D objects Distance between two points Midpoint formula Divide line segments Parallel & perpendicular lines from graph Area and perimeter on the coordinate plane Parallel and perpendicular line from equation Points inside , on, or outside of a circle Write equations of parallel and perpendicular lines Coordinate plane word problems: polygons Arc measure Arc measure with equations Arc length Radians & degrees Radians and arc length Areas of a sector Inscribed angles Inscribed shapes Tangents of circles problems Features of a circle from its standard equation Graph a circle from its standard equation Write standard equation of a circle Features of a circle from its expanded equation Graph a circle from its expanded equation Rotate 2D shapes in 3D 8: Analytic Geometry 9: Circles