Download Week Topic Teacher Notes

SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
1
Topic
Undefined terms
Segments
CA Geometry Standards
A1 5.0
*1.0 c
Students demonstrate understanding by identifying
and giving examples of (a) undefined terms, (b)
axioms, theorems, and (c) inductive and deductive
reasoning.
Text
Book Teacher Notes
Sections
1.1
1.2
1.3
Include constructions
1.3
1.4
Review and test
chapter 1
2.1
2.2
2.3
2.4
Review and test
chapter 1
*16.0
Students perform basic constructions with a straightedge
and compass, such as angle bisectors, perpendicular bisectors,
and the line parallel to a given line through a point off the line.
2
Angles relationships and their
measures
13.0
Students prove relationships between angles in
polygons by using properties of complementary,
supplementary, vertical, and exterior angles.
*16.0
Students perform basic constructions with a straightedge
and compass, such as angle bisectors, perpendicular bisectors,
and the line parallel to a given line through a point off the line.
*17.0 a, b
Students prove theorems by using (a) coordinate
geometry, (b) including the midpoint of a line segment, the
distance formula, and various forms of equations of (c)
lines and (d) circles.
15.0
Students use the Pythagorean theorem to determine
distance and find missing lengths of sides of right
triangles.
3
Conditional Statements
Inductive reasoning
Deductive reasoning
Biconditional
Statements
*1.0 c
Students demonstrate understanding by identifying
and giving examples of (a) undefined terms, (b)
axioms, theorems, and (c) inductive and deductive
reasoning.
*3.0
Students construct and judge the validity of a logical
argument and give counterexamples to disprove a
statement.
* Key standards comprise a minimum of 70% of the CST test
1
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
4
Topic
Algebraic Proofs
Geometric Proofs
CA Geometry Standards
*1.0 b, c
Students demonstrate understanding by identifying
and giving examples of (a) undefined terms, (b)
axioms, theorems, and (c) inductive and deductive
reasoning.
Text
Book Teacher Notes
Sections
2.5
2.6
Review and Test
Chapter 2
2.6
Review and Test
Chapter 1and 2 (site
common assessment)
*2.0 a
Students write (a) geometric proofs, including (b) proofs
by contradiction.
*3.0
Students construct and judge the validity of a logical
argument and give counterexamples to disprove a
statement.
5
Geometric proơfs
*1.0
Students demonstrate understanding by identifying
and giving examples of (a) undefined terms, (b)
axioms, theorems, and (c) inductive and deductive
reasoning.
*2.0 a
Students write (a) geometric proofs, including (b) proofs
by contradiction.
*3.0
Students construct and judge the validity of a logical
argument and give counterexamples to disprove a
statement.
5
6
Sept. 26 – Oct 4, 2010
1-2 day assessment
Site decision
Lines and Angles
Parallel Lines and
Transversals
Proving Lines Parallel
Benchmark 1 Cumulative Test 45 Questions
*7.0 a
Students prove and use theorems involving the
(a) properties of parallel lines cut by a transversal,
(b) the properties of quadrilaterals, and (c) the properties of
circles.
* Key standards comprise a minimum of 70% of the CST test
3.1
3.2
2
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
7
Topic
Properties of Parallel Lines
CA Geometry Standards
*2.0 a
Students write (a) geometric proofs, including (b) proofs
by contradiction.
*7.0 a
Text
Book Teacher Notes
Sections
3.3
3.4
3.5
Students prove and use theorems involving the
(a) properties of parallel lines cut by a transversal,
(b) the properties of quadrilaterals, and (c) the properties of
circles.
*16.0
Students perform basic constructions with a straightedge
and compass, such as angle bisectors, perpendicular bisectors,
and the line parallel to a given line through a point off the line.
8
Parallel and Perpendicular
*2.0 a
Students write (a) geometric proofs, including (b) proofs
Lines
by contradiction.
Slopes
*7.0 a
Classifying triangles and angle
Students prove and use theorems involving the
relationships
(a) properties of parallel lines cut by a transversal,
Review and test
3.6
4.1
4.2
(b) the properties of quadrilaterals, and (c) the properties of
circles.
*16.0
Students perform basic constructions with a straightedge
and compass, such as angle bisectors, perpendicular bisectors,
and the line parallel to a given line through a point off the line.
*17.0 a, b
Students prove theorems by using (a) coordinate
geometry, (b) including the midpoint of a line segment,
the distance formula, and *12.0 a
Students find and use measures of sides and interior and
exterior angles of (a) triangles and (b) polygons to classify
figures and solve problems.
13.0
Students prove relationships between angles in
polygons by using properties of complementary,
supplementary, vertical, and exterior angles.
various forms of equations
of (c) lines and (d) circles.
* Key standards comprise a minimum of 70% of the CST test
3
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
9
Topic
Triangles / Classifying angle
relationships and congruency
CA Geometry Standards
*2.0 a
Students write (a) geometric proofs, including (b) proofs
by contradiction.
5.0 a
Text
Book Teacher Notes
Sections
4.3
4.4
4.5
activities
Students prove that triangles are (a) congruent or
(b) similar, and they are able to use the concept of
(c) corresponding parts of congruent triangles are
congruent.
*12.0 a
Students find and use measures of sides and interior and
exterior angles of (a) triangles and (b) polygons to classify
figures and solve problems.
13.0
Students prove relationships between angles in
polygons by using properties of complementary,
supplementary, vertical, and exterior angles.
*16.0
Students perform basic constructions with a straightedge
and compass, such as angle bisectors, perpendicular bisectors,
and the line parallel to a given line through a point off the line.
*4.0
Students prove basic theorems involving (a) congruence
and (b) similarity.
* Key standards comprise a minimum of 70% of the CST test
4
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
10
Topic
Triangle congruence
Isosceles and equilateral
triangles
CA Geometry Standards
Text
Book Teacher Notes
Sections
*2.0 a
Students write (a) geometric proofs, including (b) proofs
by contradiction.
*4.0 b
Students prove basic theorems involving (a) congruence
and (b) similarity.
4.4
4.5
4.6
4.8
Review and site
common assessment
5.0 a
Students prove that triangles are (a) congruent or
(b) similar, and they are able to use the concept of
(c) corresponding parts of congruent triangles are
congruent.
*12.0 a
Students find and use measures of sides and interior and
exterior angles of (a) triangles and (b) polygons to classify
figures and solve problems.
*16.0
Students perform basic constructions with a straightedge
and compass, such as angle bisectors, perpendicular bisectors,
and the line parallel to a given line through a point off the line.
*17.0 a, b
Students prove theorems by using (a) coordinate
geometry, (b) including the midpoint of a line
segment, the distance formula, and various forms of
equations of (c) lines and (d) circles.
11
Polygons
*12.0 a
Students find and use measures of sides and interior and
exterior angles of (a) triangles and (b) polygons to classify
figures and solve problems.
6.1
Review and test (site
common assessment)
13.0
Students prove relationships between angles in
polygons by using properties of complementary,
supplementary, vertical, and exterior angles.
* Key standards comprise a minimum of 70% of the CST test
5
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
12
Topic
Polygons and parallelograms
CA Geometry Standards
*7.0 b
Students prove and use theorems involving the
(a) properties of parallel lines cut by a transversal,
(b) the properties of quadrilaterals, and (c) the properties
of circles.
Text
Book Teacher Notes
Sections
6.1
6.2
6.3
*12.0 b
Students find and use measures of sides and interior
and exterior angles of (a) triangles and (b) polygons to
classify figures and solve problems.
*17.0 a, b
Students prove theorems by using (a) coordinate geometry,
(b) including the midpoint of a line segment, the distance
formula, and various forms of equations of (c) lines and (d)
circles.
13.0
Students prove relationships between angles in
polygons by using properties of complementary,
supplementary, vertical, and exterior angles.
12
13
+
Thanksgiving
break
Nov 15 – Nov 22, 2010
Polygons and parallelograms
Benchmark 2 Formative 25 Questions
*7.0 b
Students prove and use theorems involving the
(a) properties of parallel lines cut by a transversal,
(b) the properties of quadrilaterals, and (c) the properties
of circles.
6.1
6.2
6.3
6.4
*12.0 b
Students find and use measures of sides and interior
and exterior angles of (a) triangles and (b) polygons to
classify figures and solve problems.
*17.0 a, b
Students prove theorems by using (a) coordinate geometry,
(b) including the midpoint of a line segment, the distance
formula, and various forms of equations of (c) lines and (d)
circles.
13.0
Students prove relationships between angles in
polygons by using properties of complementary,
supplementary, vertical, and exterior angles.
* Key standards comprise a minimum of 70% of the CST test
6
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
13
Topic
Special parallelograms
CA Geometry Standards
*7.0
Students prove and use theorems involving the
(a) properties of parallel lines cut by a transversal,
(b) the properties of quadrilaterals, and (c) the properties
of circles.
Text
Book Teacher Notes
Sections
6.4
6.5
*12.0
Students find and use measures of sides and interior
and exterior angles of (a) triangles and (b) polygons to
classify figures and solve problems.
*17.0
Students prove theorems by using (a) coordinate geometry,
(b) including the midpoint of a line segment, the distance
formula, and various forms of equations of (c) lines and (d)
circles.
14
Kites and
Trapezoids
*2.0 a
Students write (a) geometric proofs, including
(b) proofs by contradiction.
6.6
Review and test
chapter 6
*7.0 b
Students prove and use theorems involving the
(a) properties of parallel lines cut by a transversal,
(b) the properties of quadrilaterals, and (c) the properties
of circles.
*12.0 b
Students find and use measures of sides and interior
and exterior angles of (a) triangles and (b) polygons to
classify figures and solve problems.
15.0
Students use the Pythagorean theorem to determine
distance and find missing lengths of sides of right
triangles.
* Key standards comprise a minimum of 70% of the CST test
7
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
15
Topic
Ch 6 review
CA Geometry Standards
*2.0 a
Text
Book Teacher Notes
Sections
6.1-6.6
Review and test
5.4
5.5
5.6
12
Students write (a) geometric proofs, including
(b) proofs by contradiction.
*7.0 b
Students prove and use theorems involving the
(a) properties of parallel lines cut by a transversal,
(b) the properties of quadrilaterals, and (c) the properties
of circles.
*12.0 b
Students find and use measures of sides and interior
and exterior angles of (a) triangles and (b) polygons to
classify figures and solve problems.
15.0
Students use the Pythagorean theorem to determine
distance and find missing lengths of sides of right
triangles.
*17.0
Students prove theorems by using (a) coordinate geometry,
(b) including the midpoint of a line segment, the distance
formula, and various forms of equations of (c) lines and (d)
circles.
16
Midsegment theorem
Triangle Inequality theorem
Winter Break
*2.0 a
Students write (a) geometric proofs, including
(b) proofs by contradiction.
6.0
Students know and are able to use the triangle
inequality theorem.
*17.0 a, b
Students prove theorems by using (a) coordinate geometry,
(b) including the midpoint of a line segment, the distance
formula, and various forms of equations of (c) lines and (d)
circles.
* Key standards comprise a minimum of 70% of the CST test
8
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
17
Topic
Ch 5 review and final review
CA Geometry Standards
*2.0 a
Text
Book Teacher Notes
Sections
5.1
Review and test
Students write (a) geometric proofs, including
(b) proofs by contradiction.
6.0
Students know and are able to use the triangle
inequality theorem.
*17.0 a, b
Students prove theorems by using (a) coordinate geometry,
(b) including the midpoint of a line segment, the distance
formula, and various forms of equations of (c) lines and (d)
circles.
18
19
Finals week
Ratios and proportions
Similar polygons
5.0 b
Students prove that triangles are (a) congruent or
(b) similar, and they are able to use the concept of
(c) corresponding parts of congruent triangles are
congruent.
7.1
7.2
7.3
11.0
Students determine how changes in dimensions affect
the perimeter, area, and volume of common geometric
figures and solids.
* Key standards comprise a minimum of 70% of the CST test
9
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
20
Topic
Triangle similarity
CA Geometry Standards
*7.0 b
Students prove and use theorems involving the
(a) properties of parallel lines cut by a transversal,
(b) the properties of quadrilaterals, and (c) the properties
of circles.
Text
Book Teacher Notes
Sections
7.3
7.4
*8.0 a
Students know, derive, and solve problems involving
(a) perimeter, circumference, area, (b) volume, lateral area,
and surface area of common geometric figures.
11.0
Students determine how changes in dimensions affect
the perimeter, area, and volume of common geometric
figures and solids.
*12.0 b
Students find and use measures of sides and interior
and exterior angles of (a) triangles and (b) polygons to
classify figures and solve problems.
*16.0
Students perform basic constructions with a straightedge
and compass, such as angle bisectors, perpendicular
bisectors, and the line parallel to a given line through a
point off the line.
5.0 b
Students prove that triangles are (a) congruent or
(b) similar, and they are able to use the concept of
(c) corresponding parts of congruent triangles are
congruent.
21
Triangle similarity
*8.0 a
7.5 optional
Review and test ch 7
Students know, derive, and solve problems involving
(a) perimeter, circumference, area, (b) volume, lateral area,
and surface area of common geometric figures.
11.0
Students determine how changes in dimensions affect
the perimeter, area, and volume of common geometric
figures and solids.
*12.0 b
Students find and use measures of sides and interior
* Key standards comprise a minimum of 70% of the CST test
10
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
Topic
CA Geometry Standards
Text
Book Teacher Notes
Sections
and exterior angles of (a) triangles and (b) polygons to
classify figures and solve problems.
21
continued
*16.0
Students perform basic constructions with a straightedge
and compass, such as angle bisectors, perpendicular
bisectors, and the line parallel to a given line through a
point off the line.
5.0 b
Students prove that triangles are (a) congruent or
(b) similar, and they are able to use the concept of
(c) corresponding parts of congruent triangles are
congruent.
22
22
Feb 14 – Feb 17, 2011
Pythagorean theorem
Benchmark # 3 Formative 25 Questions
*12.0 b
5.7
Students find and use measures of sides and interior
and exterior angles of (a) triangles and (b) polygons to
classify figures and solve problems.
6.0
Students know and are able to use the triangle
inequality theorem.
*16.0
Students perform basic constructions with a straightedge
and compass, such as angle bisectors, perpendicular bisectors,
and the line parallel to a given line through a point off the line.
14.0 students prove the pythagorean theorem
23
Special right triangles
20.0 students know and are able to use angle and
side relationships in problems with special right
triangles, such as 30-60-90 triangles and 45-4590 triangles
* Key standards comprise a minimum of 70% of the CST test
5.8
CAHSEE prep
11
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
24
Topic
CAHSEE WEEK
CA Geometry Standards
*8.0 a
Text
Book Teacher Notes
Sections
9.3
CAHSEE review and
CAHSEE exam
8.2
8.3
8.4 optional
Ch 8 test
Students know, derive, and solve problems involving
(a) perimeter, circumference, area, (b) volume, lateral area,
and surface area of common geometric figures.
*10.0
Students compute areas of polygons, including rectangles,
scalene triangles, equilateral triangles, rhombi,
parallelograms, and trapezoids.
25
Trigonometric Ratios
Solving right triangles
15.0
Students use the Pythagorean theorem to determine
distance and find missing lengths of sides of right
triangles.
*18.0 a
Students know the (a) definitions of the basic
trigonometric functions defined by the angles of a right
triangle. They also know and are able to use (b)
elementary relationships between them. For example,
tan(x) = sin(x)/cos(x), (sin (x))2 + (cos (x))2 = 1.
*19.0
Students use trigonometric functions to solve for an
unknown length of a side of a right triangle, given an
angle and a length of a side.
5.0 b
Students prove that triangles are (a) congruent or
(b) similar, and they are able to use the concept of
(c) corresponding parts of congruent triangles are
congruent.
* Key standards comprise a minimum of 70% of the CST test
12
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
26
Topic
Circles
CA Geometry Standards
*7.0 b
Students prove and use theorems involving the
(a) properties of parallel lines cut by a transversal,
(b) the properties of quadrilaterals, and (c) the properties
of circles.
Text
Book Teacher Notes
Sections
11.1
11.2
*8.0 a
Students know, derive, and solve problems involving
(a) perimeter, circumference, area, (b) volume, lateral area,
and surface area of common geometric figures.
*16.0
Students perform basic constructions with a straightedge
and compass, such as angle bisectors, perpendicular bisectors,
and the line parallel to a given line through a point off the line.
*21.0
Students prove and solve problems regarding relationships
among chords, secants, tangents, inscribed angles, and inscribed
and circumscribed polygons of circles
26
27
March 21-March 25, 2011
1-2 day assessment
Site decision
Circles
Benchmark # 4 Cumulative 45 Questions
*7.0 b
Students prove and use theorems involving the
(a) properties of parallel lines cut by a transversal,
(b) the properties of quadrilaterals, and (c) the properties
of circles.
11.3
optional
11.4
11.5
*16.0
Students perform basic constructions with a straightedge
and compass, such as angle bisectors, perpendicular bisectors,
and the line parallel to a given line through a point off the line.
*21.0
Students prove and solve problems regarding relationships
among chords, secants, tangents, inscribed angles, and inscribed
and circumscribed polygons of circles
April 4 – April 8, 2011
Spring break
* Key standards comprise a minimum of 70% of the CST test
13
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
28
Topic
Circles
CA Geometry Standards
*7.0 b
Students prove and use theorems involving the
(a) properties of parallel lines cut by a transversal,
(b) the properties of quadrilaterals, and (c) the properties
of circles.
Text
Book Teacher Notes
Sections
11.4
11.5
11.6
11.7
*16.0
Students perform basic constructions with a straightedge
and compass, such as angle bisectors, perpendicular bisectors,
and the line parallel to a given line through a point off the line.
*21.0
Students prove and solve problems regarding relationships
among chords, secants, tangents, inscribed angles, and inscribed
and circumscribed polygons of circles
29
Star testing review
Ch 11 test
*7.0 b
Students prove and use theorems involving the
(a) properties of parallel lines cut by a transversal,
(b) the properties of quadrilaterals, and (c) the properties
of circles.
*16.0
Students perform basic constructions with a straightedge
and compass, such as angle bisectors, perpendicular bisectors,
and the line parallel to a given line through a point off the line.
*21.0
Students prove and solve problems regarding relationships
among chords, secants, tangents, inscribed angles, and inscribed
and circumscribed polygons of circles
30
31
April 26 – May 25, 2011
Developing formulas (area of
triangles and quadrilaterals)
Geometric probability
Star Testing Window
*8.0 a
Students know, derive, and solve problems involving
(a) perimeter, circumference, area, (b) volume, lateral area,
and surface area of common geometric figures.
*10.0
Ch 9 test
9.2
9.5
Students compute areas of polygons, including rectangles,
scalene triangles, equilateral triangles, rhombi,
parallelograms, and trapezoids.
* Key standards comprise a minimum of 70% of the CST test
14
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
32
Topic
Nets and Surface Area
CA Geometry Standards
*8.0
Students know, derive, and solve problems involving
(a) perimeter, circumference, area, (b) volume, lateral area,
and surface area of common geometric figures.
Text
Book Teacher Notes
Sections
10.1
10.4
10.6
9.0
Students compute the volumes and surface areas of prisms,
pyramids, cylinders, cones, and spheres; and students
commit to memory the formulas for prisms, pyramids, and
cylinders.
11.0
Students determine how changes in dimensions affect
the perimeter, area, and volume of common geometric
figures and solids.
33
Volume and Surface Area
*8.0
Students know, derive, and solve problems involving
(a) perimeter, circumference, area, (b) volume, lateral area,
and surface area of common geometric figures.
10.5
10.6
10.7
9.0
Students compute the volumes and surface areas of prisms,
pyramids, cylinders, cones, and spheres; and students
commit to memory the formulas for prisms, pyramids, and
cylinders.
11.0
Students determine how changes in dimensions affect
the perimeter, area, and volume of common geometric
figures and solids.
* Key standards comprise a minimum of 70% of the CST test
15
SAUSD Geometry Pacing Guide 2010 – 2011 (June 2010)
Week
34
Topic
Volume and surface area
CA Geometry Standards
*8.0
Students know, derive, and solve problems involving
(a) perimeter, circumference, area, (b) volume, lateral area,
and surface area of common geometric figures.
Text
Book Teacher Notes
Sections
10.7
10.8
Ch 10 test
9.0
Students compute the volumes and surface areas of prisms,
pyramids, cylinders, cones, and spheres; and students
commit to memory the formulas for prisms, pyramids, and
cylinders.
11.0
Students determine how changes in dimensions affect
the perimeter, area, and volume of common geometric
figures and solids.
35
Algebra review
36
Algebra review
37
2nd Semester Finals
* Key standards comprise a minimum of 70% of the CST test
16