MS. DEMM

email Ms. Demm

MR. LACEY

email Mr. Lacey 

MS. MILLER

email Ms. Miller

Unit or Topic Skills:

ANGLES

Angles formed by parallel lines, angles in triangles, Construction 

• I can use the fact that the 3 angles of a triangle add to 180 to find missing angles.

• I can use the triangle inequality theorem to determine if 3 segments can or can not form a triangle.

• I can classify a triangle as: equilateral, isosceles, scalene, obtuse, acute or right.

• I can find the measure of an exterior angle of a triangle.

• I can define, identify and use properties of the median, altitude and angle bisectors in a triangle.

• I can use the properties of a perpendicular bisector to make conclusions about geometric figures.

• I can justify conclusions about geometric figures.

COORDINATE GEOMETRY

Slope, equations of a line, parallel and perpendicular lines, directed line segments, constructions

• I can calculate the distance, midpoint and slope between any 2 points using the appropriate formula.

• I can use distance, midpoint and slope to answer questions about geometric figures.

• I can determine an endpoint of a line segment when given the midpoint of the segment and the other endpoint.

• I can use the slope and a point on a line to write its equation  in Point-slope form.

• I can determine if a line is parallel or perpendicular to a given line.

• I can write the equation of a line that is parallel or perpendicular to a given line.

• I can determine if a point is on or a solution to a given line.

• I can partition a directed line segment into a given ratio.

• I can use coordinate geometry to prove statements about triangles.

• I can use coordinate geometry to prove that a quadrilateral is a parallelogram, rectangle, rhombus, square, trapezoid or isosceles trapezoid.

Unit or Topic Skills:

Transformations

Translation, reflection, rotation, dialation

• I can draw an image after a translation in the coordinate plane.

• I can determine the rules used in a translation.

• I can reflect an image over a given line.

• I can rotate an image in the coordinate plane.

• I can determine the number of degrees that a regular polygon must be rotated so that it will map onto itself.

• I can determine the length of a segment after a dilation.

• I can identify the scale factor used in a dilation.

• I can perform a dilation on a polygon.

• I can explain if/why figures are congruent using properties of rigid motions.

• I can determine the relationship between the corresponding sides, angles, areas and perimeters in similar triangles.

• I can perform a sequence of transformations in the coordinate plane.

• I can determine a sequence of transformations that was used to carry a figure to its new image after a transformation.

• I can write the equation of the image that results from the dilation of a line when the center of dilation is both on the line and off the line.

TRIANGLES & RIGHT TRIANGLES

Triangle parts, congruency, similarity, proof

•  I can add and subtract segments and angles.

• I can identify corresponding parts in congruent figures.

• I can prove that 2 triangles are congruent using SSS, SAS, ASA and AAS.

• I can prove statements about geometric figures using CPCTC.

• I can justify conclusions about geometric figures.

• I can identify the parts of a right triangle and use right angles to prove that 2 right triangles are congruent.

• I can prove that 2 triangles are similar and apply facts about similar triangles to calculate side lengths and angle measures.

• I can identify the tangent, sine and cosine ratios of a given angle in a right triangle.

• I can use trig ratios to find the length of a side of a right triangle.

• I can use trig ratios to find the measure of an angle.

• I can use the relationship between the sine and cosine of complementary angles in a right triangle to find a missing value.

• I can use the proportions of a right triangle when the altitude is drawn to the hypotenuse to solve for an unknown.

• I can write answers involving radicals in simplest radical form. 

Unit or Topic Skills:

QUADRILATERALS

Properties and proofs

• I can identify properties of a parallelogram, rectangle and use them in a formal proof.

• I can identify properties of a rhombus, square, trapezoid and isosceles trapezoid and use them in a formal proof.

• I can apply properties of all quadrilaterals to answer questions about geometric figures.

Pythagorean Theorem, trigonometry and Cofunctions

Unit or Topic Skills:

TWO AND THREE DIMENSIONAL FIGURES

Perimeter, volume, surface area, density

CIRCLES

Circle parts, proofs, equation of a circle

• I can define the parts of a circle (radius, chord, secant, tangent, diameter, central angle, inscribed angle and arc).

• I can calculate unknown angle and arc measurements in a circle.

• I can calculate the measure of a missing angle in a quadrilateral that is inscribed in a circle.

• I can calculate the length of a segment formed by chords, secants and tangents.

• I can prove statements about geometric figures using theorems about circles.

• I can calculate the length of an arc in a circle.

• I can determine the center and radius of a circle given its equation.

• I can rewrite the equation of a circle in center-radius form.

• I can determine if a point lies on a circle.