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Geometry Learning Targets Unit 1: Chapter 1- Tools of Geometry Standard 1a (1.3/1.4): I can identify, label, and relate points, lines, planes, segments, rays, parallel, and perpendicular lines and planes, and skew lines. Standard 1b (1.5/1.6): I can use vocabulary and diagrams to calculate segment and angle measures. Standard 1c (1.7): I can construct congruent segments and angles, perpendicular bisectors, angle bisectors, perpendicular through a given point, and inscribe a triangles, square, and hexagon in a circle. Standard 1d (1.8): I can find the distance and midpoint given two coordinates. Standard 1e (1.9): I can find perimeter, circumference, and area of basic geometric shapes including figures composed of basic geometric shapes. Standard A1: I can perform basic math operations and graph line given multiple forms of the equation (i.e number sense). Unit 2: Chapter 2- Reasoning and Proof Standard 2a (2.1/2.2): I can recognize the hypothesis and conclusion of conditional statements and write the converse. I can determine the truth value of a conditional and its converse and create a biconditional statement. Standard 2b (2.4): I can justify equations using Properties of Equality, the Distributive Property, and Properties of Congruence. Standard 2c (2.5): I can justify relationships between angles and use algebra to calculate angle measures. Standard A2: I can solve multi step equations (*** fractions). Unit 3: Chapter 3- Parallel and Perpendicular Lines Standard 3a (3.1): I can identify special types of angles given parallel lines and use their relationships to calculate angle measures. Standard 3b (3.2/3.3): I can recognize when angles have special relationships and prove two lines are parallel, perpendicular, or neither and use these properties to calculate angle measures. Standard 3c (3.4/3.5): I can classify triangles based on angles and side lengths. I can classify polygons based on number of sides. I can use the Polygon Angle- Sum Theorem to calculate angle measures. Standard 3d (3.6/ 3.7): I can graph and write the equation of a line using slope-intercept, pointslope, and standard from. I can use the concepts of parallel, perpendicular, vertical, and horizontal to write the equation of a line. Standard A3: I can solve a system of linear equations using graphing, substitution, or elimination. Unit 4: Chapter 9- Transformations Standard 4a (9.1): I can identify isometries, find translation images of figures, and write a rule to describe the translation. Standard 4b (9.2): I can find reflection images of figures and determine the line of reflection. Standard 4c (9.3): I can identify rotation images of figures and write a rule for rotations of 90°, 180°, 270°, 360°. Standard 4d (9.4/9.5): I can identify the type of symmetry in a figure. I can locate dilation images and find scale factors. Standard 4e (9.6): I can use a composition of transformations and identify glide reflections. Standard A4: *** The Algebra Review portion is the Geometry standard 3d. *** Unit 5: Chapter 4- Congruent Triangles Standard 5a (4.1): I can recognize congruent figures and their corresponding parts. Standard 5b (4.2/4.3): I can complete partial proofs and use SSS, SAS, ASA, AAS, HL and CPCTC to justify congruence of two triangles and their corresponding parts. Standard 5c (4.4): I can complete a full proof of triangle congruence and their corresponding parts. Standard 5d (4.5/4.6): I can apply properties of isosceles, equilateral, and right triangles to find side lengths and angle measures. Standard A5: *** Cumulative review of all algebra standards to this point including use of a graphing calculator to solve*** Before the first semester final there will be a review of factoring quadratics to solve for x intercepts, finding the y intercept and the vertex and graphing the quadratic with this information. Unit 6: Chapter 5- Relationships within Triangles Standard 6a (5.1): I can use the properties of midsegments to solve for angles and side lengths Standard 6b (5.2): I can use the properties of perpendicular bisectors and angle bisectors to solve for angles and side lengths. Standard 6c (5.3): I can use perpendicular bisectors of a triangle to find the circumcenter and apply properties. I can use angle bisectors of a triangle to find the incenter and apply properties. I can use medians of a triangle to find the centroid and apply properties. I can use altitudes of a triangle to find the orthocenter. Standard 6d (5.5): I can use inequalities involving angles and sides of triangles. Standard A6: I can solve algebraic inequalities and graph on a number line. Unit 7: Chapter 6- Quadrilaterals Standard 7a (6.1): I can define and classify special types of quadrilaterals. Standard 7b (6.2): I can use properties involving angles, sides and diagonals of parallelograms. Standard 7c (6.3): I can prove that a quadrilateral is a parallelogram. Standard 7d (6.4): I can use properties involving diagonals of rectangles and rhombuses and determine if a parallelogram is a rectangle or rhombus. Standard 7e (6.5): I can verify and use the properties of trapezoids and kites. Standard A7: I can graph linear inequalities and find the vertices of the closed region. Unit 8: Chapter 7- Similarity Standard 8a (7.1): I can write and interpret ratios and solve proportions. Standard 8b (7.2): I can identify similar polygons and apply the properties of similarity to solve for angles and side lengths. Standard 8c (7.3): I can use similarity tests to prove two triangles similar. I can write a similarity statement and find the similarity ratio. I can apply properties of similarity to find missing angles and side lengths. Standard 8d (7.4): I can find and use relationships in similar right triangles. Standard 8e (7.5): I can use the Side-Splitter and Triangle-Angle-Bisector Theorems to solve for missing angles and side lengths. Standard A8: I can solve algebraic proportions to the level of using factoring to solve a quadratic. Unit 9: Chapter 8- Right Triangles and Trigonometry Standard 9a (8.1): I can use the Pythagorean Theorem to find side length and to classify a triangle is a right, obtuse or acute triangle. Standard 9b (8.2): I can use ratios of special right triangles to find side lengths and angle measures. Standard 9c (8.3/8.4): I can use trigonometric ratios of sine, cosine and tangent to find side lengths and angle measures. Standard 9d (8.5): I can identify angles of elevation and depression and apply trigonometric ratios to find side lengths and angle measures in word problems. Standard A9: ***Comprehensive review of algebra standards A1 – A9 in multiple choice form*** Unit 10: Chapter 10 –Area Standard 10a (10.1/10.2): I can calculate area for parallelograms, triangles, trapezoids, rhombuses and kites. Standard 10b (10.3/10.5): I can calculate area for regular polygons including using trigonometry to find needed measurements. Standard 10c (10.4): I can find perimeters and areas of similar figures. Standard 10d (10.6/10.7): I can find circumference, arc length, area and area of sectors for circles. Standard 10e (10.8): I can use area to calculate geometric probability. Standard A10: ***Comprehensive review of algebra standards A1 – A9 in multiple choice form*** Unit 11: Chapter 11- Volume Standard 11a (11.1): I can identify parts of 3-D figures including cross sections. Standard 11b (11.2/11.3/11.6): I can calculate surface area for prisms, cylinders, pyramids, cones and spheres. Standard 11c (11.4/11.5/11.6): I can calculate volume for prisms, cylinders, pyramids, cones and spheres. Standard 11d (11.7): I can find areas and volumes of similar solids. Standard A11: ***Comprehensive review of algebra standards A1 – A9 in multiple choice form*** Unit 12: Chapter 12- Circles Standard 12a (12.1-12.4): I can use properties of chords, arcs, central angles, inscribed angles, tangents and secants of a circle to find measurements. Standard 12b (12.5): I can interpret, write the equation of and graph a circle in the coordinate plane. Standard A12: ***Comprehensive review of algebra standards A1 – A9 in multiple choice form***