Bishop Ready
High School
Honors Algebra
I-218 section 1
School Year
2008-2009
Instructor:
Mrs. Armstrong
Room:
130
Course
Syllabus
Prerequisite:
Individuals
will be selected on the basis of the following:
mathematics placement test results, individual
standardized test performance, prior academic
record, and the recommendation of the elementary
school teachers. Permission of the Department
Chairperson and/or instructor required.
Signature required.
.
Textbook:
Holliday, Marks, Cuevas, Casey, Moore-Harris,
Day, Carter, Hayek.
Algebra 1.
Columbus, Ohio: Glencoe/McGraw-Hill. 2005.
Course
Description:
This course is a thorough and in-depth coverage
of first year algebra with an emphasis on
developing numerical, graphical, analytical
skills, and problem solving skills. Students
will strive for conceptual understanding of
topics that include expressions, equations and
inequalities, linear and quadratic functions,
powers, exponents, polynomials, functions and
relations. Students are evaluated and assessed
on individual performance in the following
areas: daily homework, weekly quizzes, tests,
and a class notebook. Students will be using a
TI-83 plus or TI-84 plus graphing calculator.
Format:
Class meetings will include lectures, projects,
critical-thinking writing assignments, class
work, homework, and calculator/computer
activities.
Evaluation and
Assessment:
Grades are computed based on the following
ratio:
Points earned /
Total points possible
-
Students are
expected to review material daily.
-
Students are
expected to do their homework but will
not be collected. We will go over the
homework daily.
-
Students are
expected to do their assignments by
themselves unless otherwise indicated by
Mrs. Armstrong.
-
Students are
expected to participate either through
volunteering or being called upon by Mrs.
Armstrong.
-
Quizzes may
or may not be announced.
-
Assessment
will be any of the following formats: short
answer, multiple choice, essays, true/false,
matching, and/or problem solving.
-
Students are
expected to show their work. Without
showing proper work, full credit will not be
given.
-
Students may
be asked to orally present a problem, a
topic or a chapter.
-
Class work
will be graded.
Standard:
Number and Number Sense
Benchmarks:
·
Use
scientific notation to express large numbers and
numbers less than one.
·
Identify subsets of the real number system.
·
Apply properties of operations and the real
number system, and justify when they hold for a
set of numbers.
·
Connect physical, verbal, and symbolic
representations of integers, rational numbers
and irrational numbers.
·
Compare, order, and determine equivalent forms
of real numbers.
·
Explain the effects of operations on the
magnitude of quantities.
·
Estimate, compute, and solve problems involving
real numbers, including ratio, proportion and
percent and explain solutions.
·
Find the square root of perfect squares, and
approximate the square root of non-perfect
squares.
·
Estimate, compute and solve problems involving
scientific notation, square roots and numbers
with integer exponents.
Standard:
Measurement
Benchmarks:
-
Solve
increasingly complex non-routine problems
and check for reasonableness of results.
-
Write and
solve real-world, multi-step problems
involving money, elapsed time, and
temperature and verify reasonableness of
solutions.
Standard:
Geometry and Spatial Sense
Benchmarks:
-
Represent and
model transformations in a coordinate plane
and describe the results.
Standard:
Patterns, Functions and Algebra
Benchmarks:
-
Generalize
and explain patterns and sequences in order
to find the next term and the nth
term.
-
Identify and
classify functions as linear or nonlinear,
and contrast their properties using tables,
graphs or equations.
-
Translate
information from one representation to
another representation of a relation or
function.
-
Use algebraic
representations, such as tables, graphs,
expressions, functions, and inequalities to
model and solve problem situations.
-
Analyze and
compare functions and their graphs using
attributes, such as rate of change,
intercepts, and zeros.
-
Solve systems
of linear equations involving two variables
graphically and symbolically
-
Solve and
graph linear equations and inequalities.
-
Solve
quadratic equations with real roots by
graphing, formula, and factoring.
-
Model and
solve problem situations involving direct
and inverse variation.
-
Describe and
interpret rates of change from graphical and
numerical data.
Standard:
Data Analysis and Probability
Benchmarks:
-
Create,
interpret and use graphical displays and
statistical measures to describe data.
-
Evaluate
different graphical representations of the
same data to determine which is the most
appropriate.
-
Compare the
characteristics of the mean, median, and
mode for a given set of data and explain
which measure of center best represents the
data.
-
Find, use and
interpret measures of center and spread and
use data to compare and draw conclusions
about the set of data.
-
Evaluate the
validity of claims and predictions that are
based on data.
-
Construct
convincing arguments based on analysis of
data and interpretation of graphs.
-
Describe
sampling methods and analyze the effects of
method chosen on how well the resulting
sample represents the population.
-
Use counting
techniques to determine the total number of
options and possible outcomes.
-
Design an
experiment to test a theoretical probability
and record and explain results.
-
Compute
probabilities of compound events,
independent events, and simple dependent
events.
-
Make
predictions based on theoretical
probabilities and experimental results.
Standard:
Mathematical Processes
Benchmarks:
-
Formulate a
problem or mathematical model in response to
a specific need or situation, determine
information required to solve the problem,
choose method for obtaining this information
and set limits for acceptable solution.
-
Apply
mathematical knowledge and skills routinely
in other content areas and practical
situations.
-
Recognize and
use connections between equivalent
representation and related procedures for a
mathematical concept.
-
Apply
reasoning processes and skills to construct
logical verifications or counter-examples to
test conjectures and to justify and defend
algorithms and solutions.
-
Use a variety
of mathematical representations flexibly and
appropriately to organize, record and
communicate mathematical ideas.
-
Use precise
mathematical language and notations to
represent problem situations and
mathematical ideas.
-
Write clearly
and coherently about mathematical thinking
and ideas.
-
Locate and
interpret mathematical information
accurately and communicate ideas, processes
and solutions in a complete and easily
understood manner.
The following
topics will be covered in Honors Algebra I but
not limited to the following:
Quarter One
·
Operations on Real Numbers-estimating square
roots of perfect squares and non perfect squares
without technology
·
Properties of equality, identity, inverse,
commutative, associative, and distributive
·
Graphs and functions
·
Writing and solving equations one-step,
multi-step, variables on both sides, literal
equations, ratio/proportions
·
Graphing ordered pairs
·
Transforming geometric figures by rotations,
translations, dilations, reflections
Quarter Two
·
Graphing equations using a table of values and
x-intercept and y-intercept, creating a solution
set
·
Identifying functions, evaluating functions f(x)
and f(x+#)
·
Find
slope of a line using rise over run and slope
formula
·
Connecting slope and direct variation
·
Graph using slope intercept and write equations
in slope intercept form
·
Write equations in point slope and apply point
slope formula to write an equation
·
Writing equations that are parallel and
perpendicular to a given line and go through a
given point
·
Solving inequality equations
·
Graphing inequality equations
·
Solving systems of equality equations using
graphing, substitution, linear combination
·
Systems of inequality equations
Quarter Three
·
Polynomials: identify, multiply, add, subtract
·
Product of monomials
·
Quotient of monomials with no negative exponents
·
Scientific notation writing expressions and
multiplying and dividing numbers in scientific
notations without technology
·
Factoring: GCF,
,
,
Difference of two squares
·
Graph quadratics by hand
·
Solve quadratics by graphing, quadratic formula
·
Exponential growth and decay
·
Sampling bias
·
Analyzing data and displaying data
·
Scatter plots by hand and using technology
Quarter Four
·
Histograms
·
Measures of variation
·
Box
and whiskers
·
Counting principle
·
Permutations and combinations
·
Probability simulations with and without
technology
·
Matrices by hand
·
Inverse variation
·
Simplifying Radical expressions
·
Operations with radical expressions
·
Pythagorean Theorem
·
Distance Formula/midpoint formula
·
Similar Triangles
·
Trigonometric ratios
