Download Geometry Pre-AP – FBISD – 3rd 9 weeks 2013 – 2014 (Subject to

Geometry Pre-AP – FBISD – 3rd 9 weeks 2013 – 2014 (Subject to Change)
Monday
January 6
Tuesday
7
Campus Staff Dev.
Student Holiday
Campus Staff Dev.
Student Holiday
13 5-5 Inequalities in Two
Triangles (Hinge Thm.)
Obj: Apply theorems about
inequalities in triangles. (The
sum of any two sides of a
triangle is greater than the
third. If two sides of a triangle
are unequal, then the larger
angle lies opposite the longer
side. If two angles of a
triangle are unequal, then the
longer side lies opposite the
larger angle.)
Discuss Hinge Theorem in class
– p. 293 #-30
p. 294 (35-37)
Wednesday
8 Parts of Similar
Triangles & 5-5
Inequalities in Triangles
14 8.2 Special Rt
Triangles
Obj: Derive and apply the
patterns for special right
triangles.
Study guide – Case 1 &
Case 2
(Begin Wednesday’s
notes)
Friday
10 5-5 Inequalities in
Triangles
Obj: Apply theorems about inequalities in triangles. (The sum of any two sides of a triangle is
greater than the third. If two sides of a triangle are unequal, then the larger angle lies opposite the
longer side. If two angles of a triangle are unequal, then the longer side lies opposite the larger
angle.)
WS – Parts of Similar
Triangles #1-9
WS – Solving Compound
Inequalities
Inform students that they
need to buy a copy of
Sphereland and have it by
March 17th
In class
page 292 (1-28, 31-32)
15
8.2 Special Rt. Triangles
16
Obj: Apply the special
right triangle patterns and
Pythagorean Theorem to
solve problems.
(Define isosceles
trapezoid. Do some
sample problems.)
Worksheet on Right
Triangles
p. 428 #15-23, 25-26
WS 8.2 A
WS 8.2 Special Right
Triangles
Thursday
9 5-5 Inequalities in
Triangles
WS – Inequalities in One
Triangle
&
Finish p. 292 (1-28, 31-32)
Right Triangles
Obj: Solve right triangle
problems. Apply the
Pythagorean Theorem to
the rectangular prism and
to the regular square
pyramid.
Worksheet – Right
Triangle Practice
WS - Pythaorgean Theorem
More or Less
17
Pyth. Thm. in 3D
Obj: Apply the Pythagorean
Theorem to 3D figures.
Assess special right
triangles and the
Pythagorean Theorem.
WS – Pythagorean Theorem in
Three Dimensions
Quiz over Special Right
Triangles and Pythagorean
Theorem
Quiz over Parts of Similar
Triangles and 5-5
Inequalities in Triangles
WS-Inequalities in 2 Triangles
20
M. L. King Day
No School
21
8.3 & 8.4 Trig Ratios
Obj: Define and analyze
the trig ratios – tangent,
sine, and cosine. Use the
calculator to find segment
lengths and angle
measures.
22
8.5 Angles of Elevation &
Depression
Obj: Define and apply
angles of elevation and
depression to solve
problems.
p. 447 #1-8 & p. 442 #25, 2829 (in class)
WS – Trig Ratios in Right
Triangles
27
Review
Obj: Compare and contrast
methods for solving
problems involving right
triangles.
28
Test over Right
Triangles (chapter 8)
Obj: Assess
understanding of chapter
8, right triangles.
Go over quiz & worksheet.
February 3
6.5 Trap. & Isos. Trap.
Obj: Analyze isosceles
trapezoids and apply their
properties to find segment
lengths and angle
measures.
Study Guide
WS- Trapezoids (6.5)
Quiz over 6.1-6.3
p. 437 (53-58)
p. 447 #9-18, 23, 28, 29
p. 434 #10, 22, 23
29
6.1 Define Special Quads
6.2 Properties of
Parallelograms
Obj: Define special
quadrilaterals. Derive and
apply the properties of
parallelograms.
HW:
p. 308 (1-12, 19-26, 45-48)
WS – Parallelograms
p. 316 (12-16, 31-33, 41)
End of Progress 5
4
6.5 Kites & Coord Work
Obj: Derive and apply the
properties of a kite.
Classify quadrilaterals by
coordinate methods.
23
8.5 Angles of Elevation &
Depression
Obj: Apply all of the
trigonometric techniques
to solve problems. Assess
understanding of the Pyth.
Thm. in 3D and trig ratios.
WS – Angles of Elevation &
Depression
p. 441 #10, 17, 22, 24, 31, 33
Class Activity – Too Tall to
Measure (daily grade)
30 6.3 Prove Quad. is
a Parallelogram
Obj: Derive and apply the
ways of proving that a
quad. is a parallelogram.
Verify that a quad. is or is
not a parallelogram by
coordinate methods.
Introduce verifying
parallelogram from coord.
of 4 points
24
Review
Obj: Compare and contrast
methods for solving
problems involving right
triangles.
WS – Ch. 8 Extra Practice (with
answers)
Quiz over Pyth. Thm. in 3D and
Trig.
31
6.4 Special Parallelograms
Obj: Derive the properties
of special parallelograms.
Extend coordinate methods
to the rectangle and the
rhombus.
Study Guide
WS – Rectangles, Squares &
Rhombi (6.4) (32 problems)
WS – 6.3 Parallelograms (front
& back)
Page 325 (14-19, 26)
5
6
7
6.6 Placing Figures in
the Coord. Plane
Obj: Analyze the best
placement of figures in the
coordinate plane.
6.7 Proofs using Coord
Geom.
Obj: Prove properties of
Comparing & Contrasting
Quads.
Obj: Compare and contrast
quadrilaterals and their
properties.
Work a couple more coord.
examples in class
WS – Kites & Coord Work with
Quadrilaterals
Use Practice 6-6 as a
study guide
Introduce Kite Project (daily
grade) Due March 7th
Teach 6.7 today
Pg. 344 (2-7, 9-15, 22-27)
special quadrilaterals by
coordinate methods.
Use Ex. on page. 349 in class
and problem 1 to illustrate
choices of coordinates.
WS – 6.7 Proofs Using
Coordinate Geometry
Quiz over Special
Parallelograms &
Trapezoids
Pg. 309
(29-41, 50-53, 56-59)
WS –Quadrilateral
Relationships
Fill in Chart of properties of
quadrilaterals
10
11
12
13
14
Midpt. Quads.
Review
Test on Quadrilaterals
10-2 Area of Trapezoids,
Rhombuses & Kites
Obj: Analyze quadrilaterals
formed by connecting the
midpoints of consecutive
sides.
Obj: Review
quadrilaterals, their
properties, and coordinate
methods for verifying
each.
Obj: Assess
understanding of
Quadrilaterals, chapter 6.
10-1 Area of
Parallelograms &
Triangles
(include geoboard methods)
Obj: Develop and apply the
formulas for area of a
trapezoid and for
quadrilaterals with
perpendicular diagonals –
rhombus, kite, square, and
others.
WS-Quad. from Midpoints
(in class)
WS – Connecting Midpoints
WS – Chapter 6 Review
(note: review sheet does not
include sections 6.6 & 6.7)
Page 359 (30-34)
Obj: Analyze and apply
methods for finding the
area of parallelograms and
triangles, including the
dissection and surround
methods.
HW:
p. 536 (1-9; 12-14; 19-27;
32-39)
Geoboard Worksheet
HW:
pg. 542 (4, 8-18, 22-32, 35)
17
18
19
20 10-6 Circles and Arc
21 10-4 Perimeters and
10-3 Area of Regular
Polygons and 10-5
Trigonometry and Area
Continue 10-3 and 10-5
Obj: Review Heron’s
Formula and review
circumference and area of
a circle.
and 10-7 Areas of Circles
& Sectors
Obj: Apply ratios to find
arc length and area of
sector. Analyze the area
of a segment of a circle as
a sector minus a triangle.
Areas of Similar Polygons
Obj: Apply ratios to find
perimeters and areas of
similar polygons.
Obj: Derive the formula for
finding the area of a regular
polygon, including the
special cases of equilateral
triangle, square, and regular
hexagon. Use trigonometry
to find any missing parts.
pg. 548 (1-3,10-18,24-25,
29)
pg. 561 (1, 4, 7, 8)
2410-8 Geometric
Probability
Obj: Find area of triangles
by trig. Find shaded areas
by applying all of the area
formulas.
Worksheet with Heron’s
Theorem and Circle
Area/Perimeter
pg. 561 (2, 11-17, 25)
Quiz on 10-1 and 10-2
End of Progress 6
25 1-2 Drawings, Nets,
District
Assessment
26
and Other Models
p. 571 (57-59)
p. 578
(22, 25-28, 30, 32, 35, 40)
Worksheet – Arc Length,
Sector Area, Segment
Area
27
p. 584
(1-6, 15-20, 23-26, 32-35,
47)
Worksheet – Shaded Areas
March 3
4
5
6
1-2 continued
11-1 Space figures and
Cross Sections
11-2 Surface Areas of
Prisms and Cylinders
11-3 Surface Areas of
Pyramids and Cones
In groups of 2 or 3, find 8
different nets for a pyramid
with a square base. Use
polyhedrons (clicktogethers).
Obj: Describe and analyze
cross sections of solid figures.
Use plastic cubes with colored
water to “see” cross sections.
Obj: Derive and apply the
formulas for lateral area
and surface area of right
prisms and cylinders.
Obj: Derive and apply
formulas for lateral area
and surface area of
regular pyramids and
cones.
p. 13 (11-16, 23-30, 34)
“Packet” of pattern folding,
etc.
In class using cubes
p. 603 (46-54)
HW: p. 601 (1-19, 21-29,
36)
WS - Chapter 10 Review
Quiz 10-3 & 10-5
28
Chapter 10
HW: Worksheet – Algebra
& Areas
p. 13 (1-9, 18-20, 35)
Worksheet
Isometric dot paper &
square dot paper provided
for book work Review
(Homework due Monday)
Obj: Apply concepts of
probability to distance and
area.
p. 555
(2, 3, 5-10, 13-16, 19-22, 2832, 35-37, 41-44)
Obj: Compare and
contrast methods for
finding the perimeter and
area of polygons, circles,
sectors, segments, and
composite figures.
Test on Ch. 10
Obj: Assess understanding
of Area and Perimeter –
Chapter 10.
Obj: Apply algebraic skills
to find area.
Finish the homework on 1-2
from Tuesday 2/25
p. 612
(5-12, 16, 19, 21, 22, 24,
27-30, 33-35)
p. 253 (1-4)
7 Kite Day!
p. 620
(1, 2, 4, 5, 9-11, 18, 19,
21, 23, 27-30)
Spring Break—March 10-14
17
Review
Obj: Solve lateral area and
surface area problems,
including some nonformula
problems.
HW: Worksheet - Fun with
Lateral Area and Surface
Area
Worksheet - Review of 11.2
and 11.3
18
19
11-3 continued
Obj: Apply formulas for
lateral area and surface
area of pyramids, cones,
prisms, and cylinders..
p. 620 (3, 6, 8, 12, 17, 3135, 37-40, 43)
11-4 Volumes of
Prisms & Cylinders
Quiz 1-2, 11-1, 11-2, &
Algebra and Areas
Obj: Derive and apply the
formulas for volumes of
prisms and cylinders.
Page 627 (1, 2, 4-6, 10-12,
15, 17-19, 22, 26-35, 37
(part a only), 38)
20
Extra day to review
Come up with
additional review
sheet or activity
21
Review for Test
Obj: Solve lateral area and
surface area problems,
including some nonformula
problems.
End 3rd Nine Weeks