Download Informal Geometry

 Community High School District 128
Course Standards and Targets
Course Title: Informal Geometry (Special Services)
Standard #1: (Illinois State Math Goal #6D)
Solves problems using comparison of quantities, ratios, proportions, and percents
Learning Targets:
 Writes ratios and solves proportions
 Identifies and applies similar polygons
 Proves triangles similar using AA, SAS, and SSS
 Explores proportions in triangles including midsegments
Standard #2: (Illinois State Math Goal #7A)
Measures and compares quantities using appropriate units, instruments, and methods
Learning Targets:
 Recognizes patterns and uses inductive reasoning to make conjectures
 Uses inductive reasoning to make conjectures
 Solves for interior and exterior angles in triangles
 Finds the area of squares, rectangles, triangles, parallelograms, trapezoids, circles, and
sectors
 Finds the surface area of prisms, cylinders, pyramids, cones, and spheres
 Finds the volume of prisms, cylinders, pyramids, cones, and spheres
Standard #3: (Illinois State Math Goal #7C)
Selects and uses appropriate technology, instruments, and formulas to solve problems,
interpret results, and communicate findings
Learning Targets:
 Constructs lines, segments, angles, and bisectors
Standard #4: (Illinois State Math Goal #9A)
Demonstrates and applies geometric concepts involving points, lines, planes, angles, and space
Learning Targets:
 Understands the basic postulates of Euclidean Geometry and its basic terms: points, lines,
and planes
 Sketches simple figures and their intersections
 Finds the length of segments and applies the Segment Addition Postulate
 Classifies angles and recognizes congruent angles
 Bisects a segment and find the coordinates of the midpoint of a segment
 Bisects an angle
 Recognizes properties of adjacent, vertical, complementary, and supplementary angles
 Finds the measure of angles formed by intersecting lines
 Uses the properties of equality and congruence
 Identifies angles formed by two lines and a transversal
 Identifies and uses reflections and lines of symmetry
Standard #5: (Illinois State Math Goal #9B)
Identifies, describes, classifies, and compares relationships using points, lines, planes, and
solids
Learning Targets:
 Relates parallel and perpendicular lines
 Uses properties for angles formed by two parallel lines and a transversal
 Uses a transversal and angle relationships to prove that lines are parallel
 Uses properties of parallel and perpendicular lines
 Classifies triangles by their sides and by their angles
 Finds the angle measures in triangles (Exterior Angle Theorem)
 Uses properties of isosceles and equilateral triangles
 Uses the Pythagorean Theorem and the converse of the Pythagorean Theorem
 Identifies medians in triangles
 Recognizes and applies relationships between sides and angles of a triangle
 Recognizes congruent figures and their corresponding parts
 Proves triangles are congruent using “side-side-side” and “side-angle-side” postulates
 Proves triangles are congruent using “angle-angle-side” and “angle-side-angle”
postulates
 Recognizes special relationships in right triangles to prove their congruence
 Identifies and proves overlapping triangles are congruent
 Uses angle bisectors and perpendicular bisectors
 Defines and classifies special types of quadrilaterals and finds the angle measures of
quadrilaterals
 Recognizes and applies properties of a parallelogram
 Determines if a quadrilateral is a parallelogram
 Uses properties of special types of parallelograms
 Uses properties of trapezoids
 Identifies special quadrilaterals based on limited information
 Identifies and classifies polygons
 Recognizes polyhedra and the parts
 Identifies parts of a circle
 Uses arcs and central angles of circles
Standard #6: (Illinois State Math Goal #9D)
Uses trigonometric ratios and circular functions to solve problems
Learning Targets:
 Explores the properties of 45-45-90 triangles
 Explores the properties of 30-60-90 triangles
 Uses the sine, cosine and tangent ratio to determine side lengths and angle measurements
in right triangles