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Transcript
Pre-Algebra Syllabus 2016-2017
Mrs. Annie Moris [email protected]
Ms. Jamie Pizzola [email protected]
Course Overview and Objectives
We will be using the Pre- Algebra Glencoe McGraw-Hill textbook to learn the concepts
outlined in the Common Core Standards. Pre Algebra is designed to begin the work of
7th grade Mathematics with a focus on preparation for Algebra I. While it primarily
focuses on 7th grade content, there may be a mingling of both 6th and 8th grade
standards throughout. The course is designed for a full semester block.
Common Core Standards that we will learn include:
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Apply properties of operations as strategies to add, subtract, factor, and expand
linear expressions with rational coefficients.
Use variables to represent quantities in a real-world or mathematical problem,
and construct simple equations and inequalities to solve problems by reasoning
about the quantities.
Solve word problems leading to equations of the form px + q = r and p(x + q) =
r, where p, q, and r are specific rational numbers. Solve equations of these forms
fluently. Compare an algebraic solution to an arithmetic solution, identifying the
sequence of the operations used in each approach. For example, the perimeter
of a rectangle is 54 cm. Its length is 6 cm. What is its width?
Solve word problems leading to inequalities of the form px + q > r or px + q < r,
where p, q, and r are specific rational numbers. Graph the solution set of the
inequality and interpret it in the context of the problem. For example: As a
salesperson, you are paid $50 per week plus $3 per sale. This week you want
your pay to be at least $100. Write an inequality for the number of sales you
need to make, and describe the solutions.
Apply and extend previous understandings of multiplication and division and of
fractions to multiply and divide rational numbers.
Understand that multiplication is extended from fractions to rational numbers by
requiring that operations continue to satisfy the properties of operations,
particularly the distributive property, leading to products such as (-1)(-1) = 1 and
the rules for multiplying signed numbers. Interpret products of rational numbers
by describing real-world contexts. Pennsauken Public Schools 8
Convert a rational number to a decimal using long division; know that the decimal
form of a rational number terminates in 0s or eventually repeats.
Solve linear equations in one variable.
Give examples of linear equations in one variable with one solution,
infinitely many solutions, or no solutions. Show which of these possibilities is the
case by successively transforming the given equation into simpler forms, until an
equivalent equation of the form x = a, a = a, or a = b results (where a and b are
different numbers).
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Solve linear equations with rational number coefficients, including equations
whose solutions require expanding expressions using the distributive property
and collecting like terms.
Solve real-world and mathematical problems involving area, volume and surface
area of two- and three-dimensional objects composed of triangles, quadrilaterals,
polygons, cubes, and right prisms.
Essential Questions/Units/Topics
Unit 1: Algebraic Operations
Unit 1 Essential Questions:
Lessons to Cover
Pacing
Chapters 1 & 2
Approximately 12 Days
Benchmark 1
Approximately 2 Days
Chapter 3
Approximately 7 Days
Benchmark 2
Approximately 2 Days
Why is it useful to translate verbal phrases into
algebraic expressions?
How can a number line be used to solve problems
involving positive and negative integers?
Unit 2: Algebraic Expressions,
Equations, and Inequalities
Unit 2 Essential Questions
Chapter 4
Approximately 8 Days
Benchmark 3
Approximately 2 Days
Chapter 5
Approximately 7 Days
Benchmark 4
Approximately 2 Days
How do algebraic rules and patterns assist in solving
equations and simplifying expressions?
How are equations and inequalities used to solve real
world problems?
Unit 3: Ratio, Proportion, and
Percent
Chapter 6
Approximately 8 Days
Benchmark 5
Approximately 2 Days
Chapter 7
Approximately 10 Days
Benchmark 6
Approximately 2 Days
Unit 3 Essential Questions
How are ratios, proportions, and scale drawings used
in the real world?
How are percents, decimals, and fractions related?
Unit 4: Geometry
Unit 4 Essential Questions
Chapter 11
Approximately 9 Days
Benchmark 7
Approximately 2 Days
Chapter 12
Approximately 9 Days
Benchmark 8
Approximately 2 Days
Why is it important to understand the properties of
two-dimensional figures?
Why are volumes and surface areas of threedimensional figures important in the real world?
Grading
Benchmarks (45% of your grade)
* Benchmarks will be given at the end of every chapter as well as quarterly cumulative
exams.
Tests and Quizzes (15% of your grade)
* Quizzes and Tests will be given periodically.
Projects (20% of your grade)
* Projects are your chance to apply the concepts we are learning in class to real world
situations. Your grade will be based on your ability to work cooperatively and efficiently
as well as your problem solving abilities.
Classwork (10% of your grade)
* Every day you are expected to participate and be on task during class. Classwork is
based on the completion of daily in-class work including starter problems, notes, practice
problems and discussions. Your work will all be done in your math journal. Your journal
will be checked periodically.
Homework (10% of your grade)
* Homework will be assigned almost every day. It is due the following day at the start of
class unless specifically announced otherwise. The purpose of homework is to practice
the concepts introduced in class. It is most valuable when completed on time.
GRADING SYSTEM
Letter
A
AB+
B
BC+
C
CD+
D
DF
Number Value
94-100
90-93
87-89
84-86
80-83
77-79
74-76
70-73
67-69
64-66
60-63
59 or below
Range
90-100
80-89
70-79
60-69
Classroom Expectations
* Be prepared! Materials needed every day: pencil, math notebook, textbook,
homework, binder, and your ambition to learn.
* Be an active learner! Attempt every problem presented. Take responsibility for
tackling new problems and ideas. Ask questions. Seek help when needed.
* Be courteous and respectful. Work cooperatively with others and respect everyone’s
right to learn. Be supportive and helpful to your classmates.
* Follow Pennsauken’s School’s policies with regards to tardiness, electronics, gum and
food and drink in the classroom.
* Check Genesis grades on a regular basis.
Absences
* It is the student’s responsibility to make up all work in a timely manner. Homework will
be posted on our websites, and you should check with either Mrs. Moris or Ms. Pizzola
to see what you missed during class.