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H. Unit Test and Modified Unit Test; includes an answer key and paragraphs explanation of modifications Unit Test Name: ______________________________ Period:____________________ Directions: Fill in the correct general formula for the correct conic section. Have these checked before moving on to the next section. Circle: Ellipse: Parabola: Hyperbola: Directions: Fill in the blank with the correct term. 1. On any parabola, each point is equidistant from a point call the _____________ and a line called the __________________. 2. The distance between the center of a circle and any point (X,Y) on the circle is the _______________. 3. An ellipse is the set of all points P in a plane such that the sum of the distances between P and two fixed points, called the __________________. Directions: Write the standard form of the equation of the conic section with the given characteristics. Then graph the conic section. 4. Circle with center at ( 1,-4 ) and radius 6. 5. Ellipse with center at ( 0, 0 ) , vertex at ( 0, 6 ), and co-vertex at ( -3, 0 ) Directions: Graph the conic section. 𝟏 6. 𝑿 = 𝟏𝟐 𝒚𝟐 (identify focus, directrix, and axis of symmetry) 7. 𝟒𝒙𝟐 − 𝟗𝒚𝟐 = 𝟑𝟔 (identify vertices, foci, and asymptotes) Unit Test with Modifications Name: ______________________________ Period:____________________ Directions: Fill in the correct general formula for the correct conic section for extra credit. If unable to fill in ask teacher for the formulas. Circle: Ellipse: Parabola: Hyperbola: Directions: Fill in the blank with the correct term. Use the words for the word bank. Word bank: axis radius center directrix transverse foci focus vertices 1. On any parabola, each point is equidistant from a point call the _____________ and a line called the __________________. 2. The distance between the center of a circle and any point (X,Y) on the circle is the _______________. 3. An ellipse is the set of all points P in a plane such that the sum of the distances between P and two fixed points, called the __________________. Directions: Write the standard form of the equation of the conic section with the given characteristics. Then graph the conic section. 4. Circle with center at ( 1,-4 ) and radius 6. 5. Ellipse with center at ( 0, 0 ) , vertex at ( 0, 6 ), and co-vertex at ( -3, 0 ) Directions: Graph the conic section. 𝟏 6. 𝑿 = 𝟏𝟐 𝒚𝟐 (identify focus, directrix, and axis of symmetry) 7. 𝟒𝒙𝟐 − 𝟗𝒚𝟐 = 𝟑𝟔 (identify vertices, foci, and asymptotes) The modifications for this test involve giving the students the general formulas, adding a word bank, extending time, and allowing the problems to be read aloud for certain students. Students who are permitted to have calculators would also be allowed to use them, however, there are no major calculations and graphing calculators would not be allowed. The general formulas would have to be memorized. If the student is able to do this then they should receive extra points, however if they are not able to remember this will hurt them throughout the rest of the test. Adding a word bank will help them be able to fill in the blanks. Learning disabled students often take longer to process information so they will be allowed to work on the test longer than other students. Also, some students process information better verbally so the tests can be read to them.