Plane (Euclidean) Geometry MathRoom |
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Lessons in the Plane (Euclidean) Geometry MathRoom
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logID | Lesson Name | Topics Covered |
DEFINITIONS, ANGLES, SYMMETRY, SIMILAR FIGURES | ||
plgm1.0 | geometry primer | definitions, classifying, naming angles |
plgm1 | angles, definitions, parallel lines | opposite angles, angles and parallel lines |
plgm1b | all about angles | naming, measuring, constructing angles |
plgm1c | symmetry: first concepts | line or axis of symmetry, symmetric figures |
plgm1d | ratio and proportion | properties of ratios and proportions |
plgm1.2 | similar figures in 2 dimensions | similar figures: sides, perimeter, area ratios |
plgm1.3 | similar solids | similar solids: ratio of sides, area, volume |
PERIMETER, AREA & VOLUME | ||
plgm1.4.0 | points, lines, solids | definitions of geometric figures |
plgm1.4 | prisms | Area and Volume of prisms and pyramids |
plgm1.4.1 | circular solids | Area and Volume of cones, spheres, cylinders |
plgm1.5 | perimeter and area | Measuring outside and inside |
plgm1.5.0 | perimeter and area basics | Definitions, perimeter & area in 2-dimensions |
THEOREMS ON TRIANGLES | ||
plgm1a | triangles: angles and sides | classifying triangles by angles and sides |
plgm2 | two special right triangles | the isosceles and 30º, 60º, 90º triangles. |
plgm2.1 | midpoint theorems (triangles) | 2 theorems on midpoints of sides |
plgm2.2 | Pythagrorean Theorem | the square on the hypotenuse |
plgm3 | 4 triangle theorems | angle bisector, right triangle ratio theorems |
plgm3.1 | congruent triangle theorems | side-angle-side, side-side-side, angle-side-angle |
plgm3.2 | proving deductions, examples | using SSS, SAS, ASA to prove deductions |
CIRCLES AND POLYGONS | ||
plgm2.3 | Polygons | angles, apothem, area of regular polygons |
plgm2.4 | Quadrilaterals | classifying, perimeter, area of quadrilaterals |
plgm4 | circles 1: definitions, metric theorems | theorems on chords, secants and tangents |
plgm4.1 | circles first principles | definitions, circumference, area |
plgm4.1a | more circles | angles in a circle, sectors, arcs, area |
plgm5 | circles 2: arcs and angle measures | theorems on degree measure of arcs, angles |
plgm6 | circle geometry questions | arcs, angles, proofs, multiple guess |
plgm6sl | solutions for circle questions | solutions |
gr8xrcrplygn | grade 8 circle, polygon exercises | arc lengths, sector areas, polygon angles |
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