Download Geometry Standards with Learning Targets

GEOMETRY - SEMESTER 1 STANDARDS AND LEARNING TARGETS
STANDARD 1: Tools of Geometry (Geometry Basics)
(CCSS: G.CO.1, G.CO.12; 8-10 days)
Students will be able to:
a) Identify points, lines and planes and name them using correct notation
b) Identify parts of a line (segments and rays) and name them using correct notation
c) Use the definition of midpoint and the Segment Addition Postulate to solve problems.
d) Name angles using correct notation, identify the vertex and sides of an angle, and use the Angle
Addition Postulate to solve problems.
e) Use a protractor to measure angles.
f) Complete basic constructions using straightedge and compass: copy segments/angles,
perpendicular bisector, and angle bisector. Include constructions of inscribed and circumscribed
circles in a triangle.
STANDARD 2: Parallel Lines and Special Angle Pairs
(CCSS: G.CO.1, G.CO.9, G.CO.10, G.CO.12; 8-10 days)
Students will be able to:
a) Identify and solve problems involving special pairs of angles formed by the intersection of 2 lines,
including complementary and supplementary angles, linear pair (Linear Pair Postulate), and vertical
angles (Vertical Angles Theorem)
b) Identify and solve problems involving special pairs of angles formed by the intersection of parallel
lines and a transversal.
c) Determine from the relationships of special pairs of angles if lines are parallel, perpendicular or
neither.
d) Construct a line parallel or perpendicular to a given line through a point not on the line.
e) Find missing angle measures in triangles using the Triangle Angle-Sum and Exterior Angles
Theorems.
STANDARD 3: Coordinate Geometry (Midpoint and Distance Formulas)
(CCSS: G.GPE.4, G.GPE.5, G.GPE.6; 8-10 days)
Students will be able to:
a) Determine if lines are parallel, perpendicular or neither based on the slopes of the lines.
b) Write an equation for a parallel or perpendicular line.
c) Apply the midpoint formula on a coordinate plane and solve problems using the midpoint formula.
d) Apply the distance formula on a coordinate plane and solve problems using the distance formula.
e) Find the point on a directed line segment between two given points that partition the segment in a
given ratio.
STANDARD 4: Transformations in the Coordinate Plane
(CCSS: G.CO.2, G.CO.5; 8-10 days)
Students will be able to:
a) Find and/or graph an image of a translation on the coordinate plane and write the coordinates of the
transformed image using prime notation.
b) Write a rule to describe a translation.
c) Reflect a figure across either axis or a horizontal/vertical line. Write the coordinates of the
transformed image using prime notation.
d) Reflect a figure across the line y = x or y = -x. Write the coordinates of the transformed image
using prime notation.
e) Rotate a figure about the origin clockwise or counter-clockwise 900, 1800 or 2700. Write the
coordinates of the transformed image using prime notation.
f) Dilate a figure about the origin using a given scale factor. Write the coordinates of the transformed
image using prime notation.
g) Perform composite transformations using combinations of translations, reflections and/or rotations.
h) Identify and describe a transformation given an image and its preimage.
STANDARD 5: Symmetry
(CCSS: G.CO.3; 2-3 days)
Student will be able to:
a) Determine whether a given figure has line symmetry and if so, identify the number of lines of
symmetry and draw them in the correct locations.
b) Determine whether a given figure has rotational symmetry and if so, determine the number of
degrees for which the given figure has rotational symmetry.
STANDARD 6: Congruence
(CCSS: G.CO.10, G.SRT.5; 8-10 days)
Student will be able to:
a) Determine if two polygons/triangles are congruent and if so, be able to identify their congrent
corresponding parts.
b) Determine missing sides and angles of congruent polygons/triangles.
c) Justify triangles are congruent by SSS and SAS.
d) Justify triangles are congruent by ASA and AAS.
e) Use and apply properties/theorems of isosceles and equilateral triangles.
STANDARD 7: Classify Quadrilaterals – Properties of Parallelograms
(CCSS: G.CO.11, G.GPE.4, G.GPE.7; 8-10 days)
Student will be able to:
a) Classify a quadrilateral as a parallelogram and utilize properties of parallelograms to solve
problems.
b) Classify a quadrilateral (parallelogram) as a rectangle, rhombus or square and utilize properties of
these parallelograms to solve problems.
c) Classify a quadrilateral as a trapezoid or kite and utilize properties of these quadrilaterals to solve
problems.
d) Classify and verify mathematically a quadrilateral in the coordinate plane.
STANDARD 8: Similarity
(CCSS: G.SRT.2, G.SRT.3, G.SRT.4, G.SRT.5; 6-8 days)
Student will be able to:
* Proportion Review: Review simplifying ratios, solving proportions and solving problems using
proportions.
a) Determine missing sides and angles of similar polygons.
b) Determine and justify if two or more triangles are simliar.
c) Utilize special proportions formed in triangles to find missing lengths.