Download ahsge - Walker County Schools

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Revised July 2010
WALKER COUNTY SCHOOL SYSTEM: PROGRAM OF STUDY – GEOMETRY B
CURRICULUM GUIDE
Purpose: This curriculum guide is a framework for standardized testing alignment and documentation of instruction. It contains a suggested sequencing guide. It is not inclusive of all
possible instruction. Content standards are minimum; they are fundamental, but not exhaustive. This documentation should be submitted to the principal at the end of each school year and
maintained in the school office for future reference. A student roll should be attached before submitting.
TEACHER:____________________________________________________SCHOOL: ______________________________________SCHOOL YEAR:______________________
AL Course of Study
* Suggested
Grading period
for Instruction
GEOMETRY
1.
Apply proportional reasoning to determine missing lengths of sides,
measures of angles, and ratios of perimeters and areas of similar
polygons
2nd 9 wks
2.
Solve problems, including application-based problems, using
properties and theorems related to circles, quadrilaterals, and other
geometric shapes
 Determining the center and radius of a circle given its equation
 Determining the equation of a circle given its center and radius
3rd 9 wks
3.
Apply the Pythagorean Theorem and its converse to solve application
problems, including expressing answers in simplified radical form or
as decimal approximations and using Pythagorean triples where
applicable
 Proving the Pythagorean Theorem
1st 9 wks
4.
Apply properties of special right triangles, including 30-60-90 and 4545-90 triangles, to find missing side lengths
1st 9 wks
5.
Solve for missing measures of sides and angles in right triangles by
applying the right triangle ratios of sine, cosine, and tangent
4th 9 wks
6.
Determine areas and perimeters of regular polygons, including
inscribed or circumscribed polygons, given the coordinates of vertices
or other characteristics
1st 9 wks
7.
Classify polyhedra according to properties, including the number of
faces
 Identifying Euclidean solids
1st 9 wks
Teacher Resources (Optional Notes)
Date(s) of Initial
Instruction or
Assessment
2
AL Course of Study
* Suggested
Grading period
for Instruction
Teacher Resources (Optional Notes)
Date(s) of Initial
Instruction or
Assessment
MEASUREMENT
8.
Calculate measures of arcs and sectors of a circle from given
information
3rd 9 wks
9.
Calculate surface areas and volumes of solid figures, including
spheres, cones, and pyramids
 Deriving formulas for surface area and volume of spheres, cones,
and pyramids
 Calculating specific missing dimensions of solid figures from
surface area or volume
 Determining the relationship between surface areas of similar
figures and volumes of similar figures
2nd 9 wks
DATA ANALYSIS AND PROBABILITY
10. Calculate probabilities arising in geometric contexts
4th 9 wks
* Per committee
Sources
Alabama Course of Study: Mathematics. Alabama Department of Education; Bulletin 2009, pp.54-56.
Mathematics Item Specifications for the Alabama High School Graduation Exam. Alabama State Department of Education; Bulletin 1999, p. 2.
Recommendations:
Before addressing standards/objectives, verify (via informal or formal pre-test) that students understand the appropriate prerequisite skills. Any needed intervention/reteaching should be
conducted before teaching the standards/objectives.
A “pre-teach” before the primary introduction of the standard/objective is an excellent strategy in assisting children to learn the desired standard/objective.
Teachers and school administrators should become familiar with the specifications of the AHSGE.
Any needed intervention and/or additional support (e.g., special education; Tier II and III) should be aligned to the regular classroom teacher’s lessons that specify standards/objectives.
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AHSGE Objectives
I-1
I-2
1-3
1-4
II-1
II-2
II-3
II-4
III-1
III-2
IV-1
IV-2
V-1,4
V-2
V-3
VI-1
VII-1
VII-2
VII-3
VII-4
VII-5
VII-6
VII-7
VII-8
TOTAL
Apply order of operations
Add and subtract polynomials
Multiply polynomials
Factor polynomials
Solve multi-step equations
Solve quadratic equations
Solve systems of linear equations
Solve multi-step inequalities
Identify functions
Find the range of functions
Find perimeter, circumference, area, volume
Find the distance, midpoint, slope
Graph: Linear Equations; Common Relations
Graph lines given certain conditions
Determine solution sets of inequalities
Translate: Verbal or Symbolic Graph: Equations or Inequalities
Apply properties and relationships between angles
Apply Pythagorean Theorem
Apply properties of similar polygons
Apply properties of geometric figures
Determine measures of central tendency
Determine probabilities
Solve problems: Direct Variation
Solve problems: Algebraic Concepts
Number
of Items
4
4
4
4
4
4
4
4
4
4
4
4
6
4
4
6
4
4
4
4
4
4
4
4
100