Resources
Textbook: Geometry for Enjoyment and Challenge
Delta Math: Some of your homework will be done at this website each night
EMI Geometry Labs: Some of these will be provided as hand-outs and done in class
Other resources may be directly linked in assignments.
Delta Math: Some of your homework will be done at this website each night
- Teacher code: 649357
- Class: Summer Geometry
EMI Geometry Labs: Some of these will be provided as hand-outs and done in class
Other resources may be directly linked in assignments.
Topics
Pythagorean theorem and right triangles (chapter 9)
- angle types (1.2)
- right
- acute
- obtuse
- simplifying radicals (9.1)
- quadratic equations (9.1)
- equal squares
- factoring
- quadratic formula
- right triangle vocabulary
- Pythagorean theorem (9.4 - however, we will be using a different proof)
- determining whether a triangle is a right triangle
- spider problem (EMI Geometry # 10)
- Pythagorean theorem on the coordinate plane (9.5 - not necessary to memorize as a separate formula)
- families of right triangles (9.6 - brief discussion)
- special right triangles (9.7)
- right triangle trigonometry (9.9)
- spotting hidden right triangles - activity
- introduction to circles (9.2)
Area (chapter 11)
- triangle types (3.6)
- scalene
- isosceles
- equilateral
- Sitting Cats
- right
- oblique
- understanding area (11.1)
- area models and multiplication
- triangle area (11.2)
- area investigation (EMI Geometry #8)
- triangle area given SAS
- polygons
- convex (5.4)
- concave (5.4)
- apothem (11.5)
- area (11.5)
- quadrilaterals
- rectangle (11.2)
- square (11.1)
- parallelogram (11.2)
- rhombus (11.2 because a rhombus is a parallelogram)
- trapezoid (11.3)
- median of a trapezoid and its relationship to area
- kites (11.4)
- circles (11.6)
- sectors
- segments
- definition: chord
Surface Area and Volume (chapter 12)
- prisms and cylinders(12.1, 12.3, 12.4)
- Deepwater Horizon problem
- pyramids and cones (12.2, 12.5)
- spheres (12.3, 12.6)
- more volume and surface area problem solving
- Exeter Math 1 (2017) #134, 379, 408, 704
Coordinate Geometry (chapter 13)
- midpoint (4.1)
- circle equations (13.6)
- a comment about completing the square
- equations of lines (13.1, 13.2)
- trigonometry and slope
- solving systems of equations (13.3)
- area on the coordinate plane (13.7)
- equations of parallel and perpendicular lines (handout, touched on in 9.2 sample problems)
Angles and Congruent Triangles (chapters 2 and 3)
- complementary (complement) (2.2)
- supplementary (supplement) (2.2)
- congruent and supplementary angles are right angles
- linear pair (notes)
- introduction to proof
- notes about notation
- vertical angles (2.8)
- congruence definitions
- rigid motions (3.1)
- congruent corresponding part (1.2, 3.1)
- congruent triangle theorems
- ASA (3.2)
- SAS (3.2)
- AAS (7.2)
- SSS (3.2)
- EMI Geometry #2
- Why not SSA? (EMI Geometry #3a)
- HL (3.8)
- isosceles triangle theorem and converse (3.7)
- CPCTC (3.3, 3.4)
- medians of triangles and trapezoids (7.1, 8.5)
Parallel Lines, etc. (parts of chapter 4 and beginning of chapter 5)
- compass constructions (EMI Geometry #1)
- a compass and the definition of a circle (3.3)
- perpendicular bisectors and equidistance theorems (4.4)
- angle bisectors (1.5)
- angles formed with transversal (4.5)
- EMI Geometry #22
- proofs involving parallel lines (5.2, 5.3)
- proving lines parallel (5.2)
- triangle angle sum proof (7.1)
- exterior angle theorem for triangles (7.1)
- more CPCTC (3.4)
Quadrilaterals (chapter 5)
- parallelograms (5.5, 5.6)
- isosceles trapezoids (5.5, 5.7)
- rectangle (5.5, 5.7)
- square (5.5, 5.7)
- rhombus (5.5, 5.7)
- kite (5.5, 5.7)
- "most specific"
- EMI Geometry #16: "An Interesting Quadrilateral"
- proofs involving quadrilaterals
Polygons (chapter 7)
- internal angles (7.3)
- external angles (7.3)
- convex (5.4)
- concave (5.4)
- diagonals (7.3)
- cat furniture problem (A Bed for Echo)
Similarity (chapter 8)
- similarity definition (8.2)
- proportional sides (8.4)
- ratio and proportion
- congruent angles (8.4)
- proportional sides (8.4)
- triangles (8.3)
- AA
- SSS
- SAS
- midlines of triangles and trapezoids (8.5)
- chaining similar triangles problems
Circles (chapter 10)
- arcs (10.3)
- major
- minor
- arc measure(10.3)
- arc length (10.9)
- concentric circles (10.1)
- radius - chord relationships (10.1)
- congruent chords (10.2)
- review: equidistant
- and congruent arcs (10.3)
- central angles (10.3)
- inscribed angles (10.5)
- tangent-chord angles (10.5)
- tangent-radius angles (10.4)
- secant angles (10.5)
- chord-chord angles (10.5)
- more angle-arc theorems (10.6)
- circle angle puzzles (handout)
- cyclic quadrilaterals (10.7)
- power theorems (10.8)