MAFS.912.G-CO.3.11: Prove theorems about parallelograms; use theorems about parallelograms to solve problems. (Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.)
MAFS.912.G-GPE.2.4: Use coordinates to prove simple geometric theorems algebraically.
|Learning Targets and Learning Criteria|
- choose appropriate formula (such as distance, midpoint, or slope) to identify the geometric figure and its properties.
- prove or disprove that a figure defined by given points in the coordinate plane is a triangle, rectangle, kite, rhombus, trapezoid, square, regular polygon, etc.
- use coordinates and the appropriate formula to prove or disprove a claim about a figure.
- Use properties of parallelograms, NOT assumptions, to correctly identify figures.
- We will look at the Proofs of Theorems about Parallelograms on MathBitsNotebook.
- Students will work in groups to create posters that illustrate the four basic proofs.
- Students will finish their posters.
- Each group will present their proof to the class.
- Students will create page 42 in their ISN (Proving Quadrilaterals are Parallelograms).
- Students will then work on problems to Prove Properties of Parallelograms using distance, midpoint, and slope formulas.
- Posters are due by February 19.
- Proving Properties of Parallelograms are due February 26.
All IEP and ESOL accommodations are provided daily.