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Transcript
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***