Geometry Curriculum

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Geometry Curriculum: Houston High School, 2015-2016
Part I: Finish Jan 30-Feb 6
1-1: GCO 1
1-2: GCO 12 (Definition of a line segment)
1-3: GPE 6 (Construct a segment bisector)
1-4: GPE 6 (Construct a copied angle and a bisected angle)
1-5: No Standard, prerequisite
1-6: GPE 7
2-6: No standard, Consider as a prerequisite for proofs
2-7: GCO 9, 12
2-8: GCO 9, 12 (Proof: Vertical angles are congruent)
3-1/3-2: GCO 1 (Definition of parallel and perpendicular; Proof: Alternate interior
angles are congruent; Proof: Corresponding angles are congruent)
3-3: G-GPE 3: (Only need to know that parallel and perpendicular lines have
opposite reciprocal slopes)
Also the construction on pg. 220
4-1: Prerequisite
4-2: GCO 2 (Proof: Triangle sum theorem)
4-3: Pre-requisite
4-4/4-5: GCO 12, GSRT 5 (should be able to prove)
4-6: GCO 10 (Proof: Isosceles triangle theorem)
4-7: GCO 2, 5, 6, 7, 8
4-8: GPE 4 (Using the distance formula as a proof method)
9-1 to 9-4: GCO 2, 4, 5, 6, 7, 12
9-5: GCO 3
5-1/5-2: GCO 9, 10; GMD 3
(Proof: Points on a perpendicular bisector of a line segment are equidistant from the
segment’s midpoint; Proof: Centroid theorem on pg. 333)
6-1: GMD 1
6-2: GCO 11 (Proof: Opposite sides of a parallelogram are congruent; Proof:
Opposite angles of a parallelogram are congruent; Proof: Diagonals of a
parallelogram bisect; Do the coordinate geometry associated with this
section)
6-3: GPE 3 (Do the coordinate geometry associated with this section, only)
Also: Prove theorem 6.14 on page 420)
7-1: Prerequisite
7-2: GSRT 2
7-3: GSRT 2
7-6: GSRT 2, 3
9-6: GCO 2, GPE 6, GSRT 1
Prove theorem 7.5 on page 484; do construction on page 488
8-2: GMD 3, GSRT 8 (focus on word problems)
8-4: GSRT 6, 7, 8 (Be able to explain the difference between the sine and cosine of
complementary angles)
8-5: GSRT 6, 7, 8
11-1: Application of Pythagorean Theorem and trig ratios within these problems
1-7: GMD 3
12-4: GMD 3 (only volume of cylinders)
12-5: GMD 3 (only volume of cones and pyramids)
12-6: GMD 3 (only volume of spheres)
According to standards there is no surface area on the test.
Other information covered by standards:
Definition of a circle (10.1)
Arguments for the formula for circumference and area of circle (10.1), and the
volumes of cylinders, spheres and cones (12.4, 12.5, 12.6)
Prove the Pythagorean Theorem using similar triangles (not in the book)
Part 2
10-1: GC 1, GC 2
10-2: GC 2, GC 5
10-3: GC 2
10-4: GC 2, GC 3 (Construct circle inscribed in triangle; construct circle
circumscribed around triangle; Proof: properties of quadrilaterals
inscribed in circle)
10.5: GC 2, GC 4 (Construct a line tangent to a circle using a point outside the circle,
pg. 720)
10.6: GC 2
10.7: GC 2
10.8: GPE 1 (includes problems to complete the square)
Also: Constructing inscribed equilateral triangles, squares and regular hexagons
11-3: GC 5, GMD 1
P. 829 Lab
12-1: GMD 4
12-8: GMD 1
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