Geometry Triangles - 12 day full lessons includes lesson plans, worksheets, activities, smart notebook files, ppt, assessments, and answer key
The student will be able to:
Translate, reflect, rotate, and dilate a triangle on and off the coordinate plane.
Use transformations to discover geometric relationships involving triangles and their angles and segments.
Use transformations to verify and prove geometric properties of triangles.
Identify the parts of a triangle.
Draw diagrams of various triangles and accurately label known properties of the triangle.
Label a triangle on a diagram, name it.
Classify polygons by their number of sides.
Make connection that an equilateral triangle is a regular polygon.
Classify triangles by
By angles and side
Identify the special segments of a triangle from a diagram.
Explain the interrelatedness of postulates and theorems involving triangles.
Give examples and non-examples of each vocabulary term
Write definitions, postulates, and theorems as conditional (if-then) statements and determine their validity.
Identify the hypothesis and conclusion of a conditional.
Write and identify the converse of a conditional and determine its validity.
Make and verify conjectures regarding terms such as equilateral triangles, isosceles triangles, midsegments of triangles, altitudes of triangles. etc.
Provide counterexamples in various forms:
Select the most appropriate counterexample from a group of possible counterexamples to verify that a conjecture is false.
Justify the selection of the counterexample
Ex: if four points are on a plane, then they define a quadrilateral
Compare and contrast Euclidean and non-Euclidean geometries in order to emphasize the importance of precise definitions and application of postulates.
Explain why the sum of degrees of the angles in a triangle are 1800 in Euclidean geometry, but will be greater than 180 degrees in spherical geometry. It also will not exceed 540°
Perform basic constructions involving angles and triangles, including constructing an equilateral triangle.
Use constructions to verify postulates about triangles.
Concrete models such as patty paper
Compass and straightedge
Define and construct special segments (median, altitude, bisectors, midsegment) of angles and triangles.