Tessellations
Geometry (CP)
tessellation: covering of a plane with non-overlapping, congruent regions, and no holes.
The region whose shape is being repeated is the fundamental region.
Tessellating regular Polygons:
All quadrilateral regions will tessella
NORTH HUNTERDON HIGH SCHOOL
PRECALCULUS I CP
TEACHER: MRS. PARZIALE
LESSON GUIDE FACTORING MONOMIALS,
DIFFERENCE OF SQUARES, AND PERFECT SQUARE TRINOMIALS
FACTORING DAY 2
Factoring Monomials
1. Find the GCF of each of the terms
2. Factor out the GCF from
Precalculus I CP - Mrs. Parziale
Name_
Additional Practice with Lessons 4-6
Date_
Use a calculator to approximate each to the nearest thousandth.
1) ln 8
3) e
5
2) ln 44
4) e
3.2
Solve each equation. Round your answers to the nearest ten-thousandth.
5) 7
NORTH HUNTERDON HIGH SCHOOL
PRECALCULUS I CP
TEACHER: MRS. PARZIALE
LESSON GUIDE FACTOR BY GROUPING
FACTORING DAY 3
Factor by Grouping
When factoring always look for a GCF first. Then try one of the factoring strategies.
You can always check your answer b
NORTH HUNTERDON HIGH SCHOOL
PRECALCULUS I CP
TEACHER: MRS. PARZIALE
CHAPTER 6
PRACTICE LESSONS (6-4) (6- 6)
1. Evaluate the following to the nearest thousandth:
b. e 2.4
a. ln11
d. e3
c. ln 2.9
2. Solve for x to the nearest thousandth:
a.
4 x = 10
b.
8 x
NORTH HUNTERDON HIGH SCHOOL
PRECALCULUS I
TEACHER: MRS. PARZIALE
LESSON GUIDE HYPERBOLAS
CONICS LESSON 4
Homework Sheet:
HYPERBOLA PRACTICE PROBLEMS
1.
GRAPH EACH. LIST THE ASYMPTOTES AND THE VERTICES.
a. x 2 y 2
b. y 2 x 2
=1
=1
64 36
25 100
c.
x2
y2 =
NORTH HUNTERDON HIGH SCHOOL
PRECALCULUS I CP
TEACHER: MRS. PARZIALE
(HALF DAY VERSION)
LESSON GUIDE PRACTICE DAYS 1-5
FACTORING
Below is a mixed bag of problems including differences of squares, perfect square trinomials, and regular factoring
problems. F
NORTH HUNTERDON HIGH SCHOOL
PRECALCULUS I CP
TEACHER: MRS. PARZIALE
IDENTITY PRACTICE 2 - CHAPTER 13
LESSONS 1-2
SHOW ALL WORK.
Simplify the following trigonometric expressions to a single trig function (sin, cos, tan, sec, csc, cot) or a
numeric value.
1
NORTH HUNTERDON HIGH SCHOOL
PRECALCULUS I CP
TEACHER: MRS. PARZIALE
CHAPTER 6
PRACTICE LESSONS (6-1) (6- 3)
You need to be able to complete the problems below without a calculator.
1. Evaluate
a.
( 32)
5
f.
1
b.
36
3
5
243
g.
3
3
2
7
c. 9261 3
2 6
NORTH HUNTERDON HIGH SCHOOL
PRECALCULUS I CP
TEACHER: MRS. PARZIALE
LESSON GUIDE PRACTICE DAYS 4-6
FACTORING
Below is a mixed bag of problems including differences of squares, perfect square trinomials, sums and
differences of perfect cubes, and regular f
NORTH HUNTERDON HIGH SCHOOL
PRECALCULUS I CP
TEACHER: MRS. PARZIALE
LESSON GUIDE REVIEW
FACTORING DAYS 9 & 10
Algebra II (CP) Factoring
Review of Factoring
Simplify (add/subtract/multiply and combine like terms):
1)
( x 2 + 3 x 2) + (1 2 x)
3)
(4a 5b)(2a
North Hunterdon High School
Mrs. Parziale
Name: _
Precalculus I CP - QTR 1 Exam Review
Problem
1. Consider the following sets of ages of students in a college seminar.
x 1 = 21, x 2 = 27, x 3 = 18, x 4 = 19, x 5 = 19, x 6 = 20, x 7 = 20
5
a. Calculate.
x
6-6: Rotation Symmetry
Geometry (CP)
Monday, December 11th
Remember - if you can take a figure, reflect it over a symmetry line, and get exactly
the same figure, we say the figure is reflection-symmetric (sec. 6-1).
If you can take a figure and rotate it
6-7: Regular Polygons
Thursday, December 14th
Geometry (CP)
regular polygon: a convex polygon whose angles are all congruent and whose sides
are all congruent.
A regular triangle is an equilateral triangle.
A regular quadrilateral is a square.
After th
7.4 Overlapping Triangles
CP Geometry
Example 1:
Given: AC @ AB , AD @ AE
Prove: R D @R E
Statements
1. AC @ AB , AD @ AE
Reasons
1. Given
2. R BAE @R CAD
V
3. VABE @ ACD
C
B
3. SAS
4. R D @R E
A
2. Reflexive Property of
Congruence
4. CPCF
F
D
E
Statement
7-5: HL Congruence
Geometry (CP)
Problem with using SSA to prove triangle congruence:
B
E
A
C
D
F
Both triangles have 2 sides and a non-included angle congruent - but the triangles are not
congruent!
SsA only works in two cases. We will use only the first
7-7: Properties of Parallelograms
Geometry (CP)
Properties of a Parallelogram Theorem:
(a) opposite sides are congruent.
(b) opposite angles are congruent
(c) the diagonals intersect at their midpoints.
EX 1: Given the parallelogram below, mark all congru
7-8: Sufficient Conditions for Parallelograms
What conditions are enough to call a quadrilateral a parallelogram?
(a) one pair of sides is both parallel and congruent OR
(b) both pairs of opposite sides are congruent OR
(c) the diagonals bisect each other
7-3: Proofs Using Triangle Congruence
Geometry
If you can prove three parts of one triangle are congruent to three parts of another, then
you can show the triangles are congruent. Possible combinations include SSS, SAS,
ASA, AAS)
Isosceles Triangle Base A
STUDY GUIDE CH. 9 AND CH. 10 TEST
1.
7cm
a.) Name the type of figure
_
b.) What is the area of a base?
B = _
c.) What is the circumference of the base? p = _
20 cm
d.) Draw the net for the figure.
e.) Lateral Area = _
f.) Surface Area = _
g.) Volume = _
c
7-9: Exterior Angles
Geometry (CP)
exterior angle (of a polygon): forms a linear pair with one of the angles of the
polygon.
EX 1:
Exterior Angle Theorem: In a triangle, the measure of an exterior angle is equal to
the sum of the measures of the interior
Exam 2 Study Guide
1. Draw a dihedral angle.
2. Draw a rectangular prism with a plane
section parallel to its base.
3. Draw two parallel planes.
4. Draw a great circle on a sphere.
5. Draw an oblique cone.
6. Draw a truncated square pyramid.
7. Draw the n
Exam 1 Study Guide Answers
1.
7cm
a.) Name the type of figure
_
b.) What is the area of a base?
B = _
c.) What is the circumference of the base? p = _
20 cm
d.) Draw the net for the figure.
e.) Lateral Area = _
f.) Surface Area = _
g.) Volume = _
c
2. Nam
Exam 2 Study Guide Answers
1. Draw a dihedral angle.
2. Draw a rectangular prism with a plane
section parallel to its base.
3. Draw two parallel planes.
4. Draw a great circle on a sphere.
5. Draw an oblique cone.
6. Draw a truncated square pyramid.
7. Dr
NORTH HUNTERDON HIGH SCHOOL
PRECALCULUS I CP
TEACHER: MRS. PARZIALE
LESSON GUIDE POLYNOMIALS MULTIPLYING
FACTORING DAY 1
Polynomials
Terms to know:
Monomial
Polynomial
Binomial
Trinomial
Degree of a Polynomial Examples:
1. 3x + 2
2. 4 x 3 + 17 x 5
3.