Bonus Poster 

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1st grading period topics:

1. Perimeter and Area in the Coordinate Plane

2. Explain and Use:

• Midpoint Formula

• How to find the endpoint of a segment given the midpoint and the other endpoint

• Distance Formula

3. Point on a directed line segment:

• Find the point given the endpoints and ratio

• Find the ratio given the point and endpoints

4. Parallel and Perpendicular Lines in the Coordinate Plane

• Relationship between the slopes

• Find the equation of a line parallel to a given line through a given point

• Find the equation of a line perpendicular to a given line through a given point

2nd grading period topics:

1. Rigid Motions:

• Perform translations, reflections, and rotations explained in words (give examples)

• Find coordinate rules for the translations, reflections, and rotations you performed (use your examples from above)

2. Dilations:

• How the value of k can be used to determine if a dilation is a reduction or an enlargement

• How a dilation affects the slope and y-intercept of a line (give an example)

• Give an example using the formula IMAGE = k x PREIMAGE

3. Congruent Triangles:

• Identify and explain the triangle congruence shortcuts: ASA, SAS, SSS, AAS

• Prove:  

            *The Isosceles Triangle Theorem 

            *The opposite sides of a parallelogram are congruent

4. Quadrilaterals:

• Use coordinates to prove a quadrilateral is a parallelogram

• Use coordinates to prove a quadrilateral is a rhombus

• Make a diagram that relates the following terms: square, rhombus, parallelogram, quadrilateral, rectangle, trapezoid, polygon

3rd grading period topics:

1. Circle Equations:

• Find the equation of a circle using the distance formula given the center and radius

• Find the center and radius of a circle by completing the square to put the equation in center-radius form

• Prove that a given point lies on the circle if given the equation of the circle

2. Circles:

• Circle terms (circle, radius, diameter, chord, secant, tangent, point of tangency, minor arc, major arc, semicircle) - diagram(s)

• Relationship between angle measure and arc measure for central, inscribed, and circumscribed angles with examples

• Explain and give an example of the relationship between a tangent and the radius at the point of tangency

3. Sectors of circles:

• Arc Length (2 examples)

• Area of a sector (2 examples)

4. Volume:

• Use volume formulas - Prism, pyramid, cone, cylinder

• Find volume after calculating a missing base or height measurement

• Find a missing measurement (base or height) given the volume and other measurements

5. Trig Ratios:

• Explain the trig ratios

• Find the length of missing sides using trig ratios (one with variable in numerator and one with variable in denominator)

• Explain the relationship between the sine and cosine of complementary angles

6. Similarity:

• Give an example using the formula k  = IMAGE / PREIMAGE

• Prove two circles are similar (give an example in the coordinate plane)

• Prove two triangle are similar using AA (give an example)

4th grading period topics:

1. Quadratic Formula

2. Completing the Square

3. Factoring Quadratics

4. Exponential Growth/Decay

5. Average Rate of Change

6. Key Features of Parabolas