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Math
Oklahoma Math
Geometry (G): Geometry: Two-Dimensional Shapes (G.2D)
Use properties of parallel lines cut by a transversal to determine angle relationships and solve problems.
Use the angle relationships formed by lines cut by a transversal to determine if the lines are parallel and verify, using algebraic and deductive proofs.
Apply the properties of angles (corresponding, exterior, interior, vertical, complementary, supplementary) to solve problems using mathematical models, algebraic reasoning, and proofs.
Apply theorems involving the interior and exterior angle sums of polygons to solve problems using mathematical models, algebraic reasoning, and proofs.
Apply the properties of special quadrilaterals (square, rectangle, trapezoid, isosceles trapezoid, rhombus, kite, parallelogram) to solve problems involving angle measures and segment lengths using mathematical models, algebraic reasoning, and proofs.
Use coordinate geometry and algebraic reasoning to represent and analyze line segments and polygons, including determining lengths, midpoints, and slopes of line segments.
- Area & perimeter on the coordinate plane
- Area of trapezoid on the coordinate plane
- Coordinate plane word problem
- Coordinate plane word problems: polygons
- Divide line segments
- Dividing line segments
- Dividing line segments: graphical
- Midpoint formula
- Midpoint formula
- Midpoint formula
- Midpoint formula review
- Parallel & perpendicular lines from equation
- Parallel & perpendicular lines from graph
- Parallel & perpendicular lines from graph
- Parallel lines from equation
- Parallel lines from equation (example 2)
- Parallel lines from equation (example 3)
- Perpendicular lines from equation
- Write equations of parallel & perpendicular lines
- Writing equations of perpendicular lines
- Writing equations of perpendicular lines (example 2)
Apply the properties of polygons, and use them to represent and apply mathematical models involving perimeter and area (e.g., triangles, special quadrilaterals, regular polygons up to 12 sides, composite figures).
Apply the properties of congruent or similar polygons to solve problems using mathematical models and algebraic and logical reasoning.
- Calculating angle measures to verify congruence
- Challenging similarity problem
- Corresponding angles in congruent triangles
- Determine similar triangles: Angles
- Determine similar triangles: SSS
- Determining congruent triangles
- Determining similar triangles
- Dilating triangles: find the error
- Find angles in congruent triangles
- Geometry word problem: a perfect pool shot
- Geometry word problem: Earth & Moon radii
- Geometry word problem: the golden ratio
- Getting ready for similarity
- Intro to triangle similarity
- Solve similar triangles (advanced)
- Solve similar triangles (basic)
- Solve triangles: angle bisector theorem
- Solving similar triangles
- Solving similar triangles: same side plays different roles
- Triangle similarity postulates/criteria
- Triangle similarity review
- Use ratios in right triangles
- Use similar triangles
- Using similar & congruent triangles
- Using similarity to estimate ratio between side lengths
- Using the angle bisector theorem
Construct logical arguments to prove triangle congruence (SSS, SAS, ASA, AAS and HL).
- Calculating angle measures to verify congruence
- Determine congruent triangles
- Determining congruent triangles
- Exploring medial triangles
- Justify triangle congruence
- Prove triangle congruence
- Prove triangle properties
- Proving the ASA and AAS triangle congruence criteria using transformations
- Proving the SAS triangle congruence criterion using transformations
- Proving the SSS triangle congruence criterion using transformations
- Proving triangle congruence
- Triangle congruence review
Construct logical arguments to prove triangle similarity (AA, SSS, SAS).
Use numeric, graphic, and algebraic representations of transformations in two dimensions (e.g., reflections, translations, dilations, rotations about the origin by multiples of 90') to solve problems involving figures on a coordinate plane and identify types of symmetry.
- Defining transformations
- Defining transformations
- Determine reflections (advanced)
- Determine rotations
- Determining reflections (advanced)
- Dilating shapes: shrinking
- Dilations: center
- Dilations: center
- Finding a quadrilateral from its symmetries
- Finding a quadrilateral from its symmetries (example 2)
- Identifying type of transformation
- Intro to rotational symmetry
- Properties of translations
- Reflecting shapes: diagonal line of reflection
- Reflective symmetry of 2D shapes
- Rotate shapes
- Rotating shapes
- Rotating shapes about the origin by multiples of 90°
- Rotational symmetry of 2D shapes