Download The summer accelerated geometry class covers a full year of high

The summer accelerated geometry class covers a full year of high school geometry and enough algebra II to
prepare students for a high school pre-calculus or honors pre-calculus course. The class meets for 4 hours each
day for 5 weeks. Of the 100 class hours approximately 60 hours are spent covering the geometry concepts and
approximately 40 hours are spent covering the algebra II concepts.
Texts:
Holt McDougal…Larson…Geometry (2012)
Holt Mcdougal…Larson…Algebra 2(2011)
We will cover the following sections in the geometry text:
Ch. 1.1, 1.2, 1.3, 1.4, 1.5, 1.6
Ch. 2.2, 2.4, 2.5, 2.6, 2.7
Ch. 3.1, 3.2, 3.3, 3.4, 3.5, 3.6
Ch. 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8
Ch. 5.1, 5.2, 5.3, 5.4, 5.5, 5.6
Ch. 6.1, 6.2, 6.3, 6.4, 6.5
Ch. 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7
Ch. 8.1, 8.2, 8.3, 8.4, 8.5, 8.6
Ch. 9.1, 9.3, 9.4, 9.6, 9.7
Ch. 10.1, 10.2, 10.3, 10.4, 10.5, 10.6, 10.7
Ch. 11.1, 11.2, 11.3, 11.5, 11.6, 11.7, 11.8
In the Alg II text we will cover the following sections:
Ch. 1.2, 1.3, 1.6, 1.7
Ch. 2.3, 2.4, 2.8
Ch. 3.1, 3.2, 3.3
Ch .4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8, 4.9
Ch. 5.1, 5.3, 5.4
Ch. 6.1, 6.2, 6.3, 6.5, 6.6
Ch. 7.1, 7.2, 7.3, 7.5, 7.6
Ch.8.4, 8.5, 8.6,
and if we have time Ch. 13.1, 13.2, 13.3, 13.5, 13.6, 14.1
Grading: Tests will account for about 60% of the final grade, homework will account for about 20% of the
final grade, and the final exam will account for about 20% of the final grade. We will have approximately one
geometry test and one alg. II test each week. Each test will cover approximately two chapters of material. A
review worksheet will be assigned prior to each test. The geometry final exam will be given the 2nd to last day
of class. The alg. II final exam will be given the final day of class. Standard grading scale will be used (grades
will not be rounded up at the end of the term):
A = 93-100%
A- = 90-92.9%
B+ = 87-89.9%
C+ = 77-79.9%
C = 73-76.9%
D = 60-66.9%
F = Less than 60%
B = 83-86.9%
C- = 70-72.9%
B- = 80—82.9%
D+ = 67-69.9%
*Students must have at least an A- in the class to be recommended for a pre calculus class the following
year.
Homework: Approximately 30-60 min of homework will be assigned each day. Homework is expected to be
completed accurately showing all work to support answers. Upon returning to class each day we will go over
the homework (answering any outstanding questions). Late work may be accepted at the instructor’s discretion
(will likely be given ½ credit or less).
Materials: Students are expected to have paper, pencil, calculator (scientific or graphing), protractor, a ruler. A
compass is useful but not necessary.
Attendance: Students are expected to be in class on time. If a student knows they will be absent they are asked
to communicate this to the instructor and to the summer school office prior to the absence (the earlier we know
the better!). Any student missing more than 2 days of class will not receive credit for the class!!!
Geometry concepts to be covered:
Building Blocks of geometry:
1. Points, lines, rays, segments, planes (definition of/notation for)
2. Congruence
3. Angles – acute, right, perpendicular, (definition of/notation for)
Segments and Angles
1. Angle addition postulate, segment addition postulate
2. Segment bisectors
3. Angle bisectors
4. Midpoint
5. perpendicular/parallel/oblique lines
6. Vertical angles and linear pairs
7. Congruent supplements/complements
Lines in a plane:
1. Parallel and perpendicular postulates
2. Properties of parallel lines (corresponding angles, alt. int. angles, alt. ext. angles, same side int. angles)
Reasoning and proof:
1. Writing 2 column proofs
Congruent triangles:
1. Naming/classifying triangles
2. Properties of interior and exterior angles
3. Proving triangles congruent (SSS, SAS, AAS, ASA)
4. Properties of isosceles and right triangles
Properties of triangles:
1. Perpendicular bisector theorem
2. Angle bisector theorem
3. Special segments in triangles (medians, altitudes, angle bisectors, perpendicular bisectors)
4. Mid-segment theorem
5. Triangle inequality theorem
6. Largest side/largest angle in a triangle
7. Hinge theorem
Polygons
1. Naming
2. Interior angles theorem
3. Exterior angles theorem
4. Properties of parallelograms
5. Properties of trapezoids
6. Properties of other quadrilaterals (kites)
Transformations:
1. Reflections
2. Rotations
3. Translations
Similarity:
1. Ratios and proportions
2. Properties of similar triangles/polygons
3. Proving triangles similar (angle/angle,SSS, SAS similarity)
4. Triangle proportionality theorem
Properties of Right Triangles
1. Right triangles with altitude to hypotenuse (geometric mean and ratios)
2. Pythagorean Theorem
3. Special right triangles (45/45/90 and 30/60/90)
4. Trig ratios/solving triangles
Circles
1. Properties of tangents
2. Central angles and arcs
3. Properties of chords (perpendicular bisectors)
4. Inscribed angles
5. Intersection of chord/tangent
6. Intersection of two chords
7. Intersection of two tangents on ext. of circle (or tangent and secant)
8. Equation of a circle
Planar measurements
1. Perimeter
2. Area of squares and rectangles
3. Area of triangles and parallelograms
4. Area of any regular polygon
5. Circumference and arc length
6. Areas of circles and sectors and chords
7. Areas of similar polygons
Space measurements
1. Faces, vertices, edges, (Euler’s theorem)
2. Surface area of prisms and cylinders
3. Surface area of pyramids and cones
4. Volume of prisms and cylinders
5. Volume of pyramids and cones
6. Surface area and volume of spheres
Algebra II concepts to be covered:
Properties of real numbers:
1. Classifying numbers (real, rational, integers, whole)
2. Commutative/assoc. properties
Solving/Graphing Linear Equations:
1. Solving linear equations and inequalities
2. Graphing linear equations and inequalities
3. Finding equations of parallel and perpendicular lines
Absolute Value:
1. Solving absolute value equations
2. Graphing absolute value equations
3. Solving abs. value inequalities
4. Graphing abs. value inequalities
Exponents and Radicals:
1. Properties of exponents
2. Properties of radicals
3. Rational exponents
4. Rationalizing denominators
5. Solving equations with exponents or radicals
6. Graphing square root and cube root functions
Polynomials and Factoring:
1. Expanding/multiplying polynomials
2. Adding/subtracting polynomials
3. Factoring polynomials (binomials, trinomials, dif. Squares, by grouping)
Complex Fractions and Rational Expressions:
1. Determining domain and range
2. Multiplying and dividing complex fractions
3. Adding and subtracting complex fractions
4. Simplifying complex fractions
5. Solving equations with complex fractions
Quadratic Equations:
1. Graphing quadratic equations
2. Solving quadratic equations (by graphing, by completing the square, by factoring, by quad. Equation)
Exponential and Logarithmic Functions:
1. Intro. to exp. functions
2. Solving exponential equations
3. Introduction to log functions
4. Solving log equations