CURRICULUM MAP: 10094.map

Geometry (ACP) 411

TIME FRAME:
GRADE: 9-10
CONTACT:

         MAP LEVEL:

25.2 MATHEMATICS - NUMERICAL & PROP REASONING --- 25.2.1.9.2
25.3 MATHEMATICS - GEOM & MEASUREMT --- 25.3.1.9.1 --- 25.3.1.9.2 --- 25.3.1.9.3 --- 25.3.1.9.5 --- 25.3.3.9.1 --- 25.3.3.9.2
25.3 MATHEMATICS - GEOM & MEASUREMT --- 25.3.3.9.4



1. How can students analyze, visualize, measure, and transform shapes and structures using a variety of tools, strategies, and technologies?

2. What are the connections between geometry and algebra?

3. What can students do to improve deductive and inductive reasoning, including proof constructions?



Similarity
Polygons
Right Triangles
Circles
Points, Lines, and Planes
Angles
Parallel Lines and Planes
Triangles
Perimeter, Area, and Volume
Simplifying radicals and rationalizing denominators




Students will be able to:
1. Use similar triangles to deduce information about segments and angles
2. Recognize and name convex polygons
3. Find the measure of interior and exterior angles of convex polygons
4. Recognize and draw parallelograms to deduce information about segments and angles
5. State and apply the Pythagorean theorem
6. Determine the lengths of two sides of a 45°-45°-90° triangle or a 30°-60°-90° triangle when the third side is known
7. Solve right triangle problems using the Sine, Cosine, or Tangent ratio
8. Recognize polygons inscribed in or circumscribed about circles
9. Solve problems using central angles and arcs
10. Solve problems using inscribed angles and arcs
11. Solve problems involving secants, chords, and tangents
12. Draw and recognize points, lines, planes, segments, and rays
13. Draw and recognize collinear points and coplanar points
14. Draw, recognize, name, and measure angles
15. State, apply, and recognize the reflexive, symmetric, and transitive properties
16. Draw, recognize and name vertical angles
17. Distinguish between parallel, intersecting and skew lines
18. Classify triangles as obtuse, acute, or right
19. Classify triangles as scalene, isosceles, or equilateral
20. 180°
21. Use the ASA, SSS, SAS, LL, and HL to prove two triangles congruent. (Two column proof)
22. Recognize and draw the altitude and median of a triangle
23. State and apply the theorems of inequalities and triangles
24. Determine the area and perimeter of squares, rectangles, triangles, parallelograms, and trapezoids
25. Determine the area and circumference of a circle
26. Determine the volume of a sphere
27. Simplify radicals by removing all possible square roots
28. Rewrite expressions with a radical in the denominator






Students will:
1. Practice CAPT or CAPT-like questions

2. Use of rulers/protractors for measurement of line segments/angles

3. Use calculators

4. Use Geometer's Sketchpad



Students will be assessed by:
1. Regular homework assignments, which will account for 10% of their final grade

2. Quizzes, covering one to two sections of textbook material, will be comprised of 60-100% computation, 0-40% application

3. Tests after coverage of each chapter of textbook material. Test will be comprised of 50-100% computation, 50-100% application

4. Projects which may include a scrapbook, sketchpad, and/or notebook

5. Final exam that covers the entire semester's material, which will account for 20% of their final grade



1. Logic puzzles (e.g. quizzles, Sudoku)

2. Project involving scrapbook (pictures involving geometric elements)

3. Compass usage



1. Textbook - Prentice Hall Geometry

2. Text supplemental materials

3. Manipulatives

4. Textbook library (located in Math prep area)

5. Calculators

6. Laptops/Mobile Labs

7. Activity Resource Books