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Geometry Lesson List
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For details on a lesson click on a topic below.G.1 The student will construct/judge validity of logical argument consisting of a set of premises and conclusion. Including
a.identifying the converse, inverse, and contrapositive of a conditional statement;
M13134B-If-Then Statements – Part B “New”
b.translating a short verbal argument into symbolic form;
M13134B-If-Then Statements – Part B “New”
c.using Venn diagrams to represent set relationships; and
M1501-1-Sets Part A
M1501-2-Sets Part B
M13152-Venn Diagrams - Logic and Reasoning “New”
d.using deductive reasoning, including the law of syllogism.
M13134B-If-Then Statements – Part B “New”
G.2 The student will use pictorial representations to solve problems involving symmetry and transformation. This will include
a.investigating and using formulas for finding distance, midpoint, and slope;
M1344B-1-Slope Part A
M1344B-2-Slope Part B
b.investigating symmetry and determining whether a figure is symmetric with respect to a line or a point; and
M13118-1-Transformations Part A
M13118-2-Transformations Part B
c.determining whether a figure has been translated, reflected, or rotated.
M13118-1-Transformations Part A
M13118-2-Transformations Part B
G.3 The student will solve practical problems involving complementary, supplementary, and congruent angles.
G.4 The student will use the relationships between angles to determine if two lines are parallel and verify, using proofs.
G.5 The student will
a.investigate and identify congruence and similarity relationships between triangles; and
b.prove triangles are congruent/similar, given information in a figure/statement, using algebraic/coordinate/deductive proofs.
G.6 The student will apply triangle inequality properties to determine whether a triangle exists and to order sides and angles.
M13114-1-Inequalities of Triangles Part A (New)
M13114-2-Inequalities of Triangles Part B (New)
G.7 The student will solve practical problems involving right triangles by using the Pythagorean Theorem, etc.
M13116-1-Special Right Triangles Part A (New)
M13116-2-Special Right Triangles Part B (New)
G.8 The student will
a.investigate and identify properties of quadrilaterals involving opposite/consecutive sides and angles and diagonals;
M13117-1-Quadrilaterals Part A (New)
M13117-2-Quadrilaterals Part B (New)
b.prove these properties of quadrilaterals, using algebraic and coordinate methods as well as deductive reasoning; and
M13117-1-Quadrilaterals Part A (New)
M13117-2-Quadrilaterals Part B (New)
c.use properties of quadrilaterals to solve practical problems.
M13117-1-Quadrilaterals Part A (New)
M13117-2-Quadrilaterals Part B (New)
G.9 The student will use measures of interior and exterior angles of polygons to solve problems.
M11150B-Geometric Figures and Solids – Part B “New”
M13118-1-Transformations Part A (New)
M13118-2-Transformations Part B (New)
G.10 The student will investigate and solve problems involving circles, using properties of angles/arcs/chords/tangents/secants.
M13119-2-Circle Relationships Part B (New)
G.13 The student will use formulas for surface area and volume of three-dimensional objects to solve practical problems.
M13122-2-Surface Area of Solids Part B (New)
G.14 The student will
a.use proportional reasoning to solve practical problems, given similar geometric objects; and
M11150B-Geometric Figures and Solids Part B (New)
b.determine how changes in one dimension of an object affect area and/or volume of the object.
