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# Pre-Algebra

## Course ID: 3252

This Pre Algebra course will be required for Algebra 1 Honors and other upper level math courses. This class requires that each student is proficient with prior math concepts and terminology. All concepts in this

class are introductory to Algebra 1 and Geometry. Like all math classes, time requirements are based on mastery of previous math skills. When a student is struggling with earlier math concepts, this class becomes a challenge. Every student is completely capable of mastery of all pre-algebra skills, and I will be there to help. Students will be taught these skills and given multiple practice opportunities in and outside of class. This class will incorporate an online platform for homework that will give immediate feedback and assistance when a student may become stuck on a new concept. All lessons will be taught, practiced and assessed in small chunks in order to be clear about the students mastery and if any additional help will be needed. All tests and quizzes are to be proctored by a parent and signed by both parent and child to confirm the tests have been taken without the use of technology of any kind. All tests will be turned into me to be graded.

Placement: Pre Algebra Placement Test

Resources and Materials:

Glencoe Math

— Author: McGraw-Hill/ Glencoe

— Cost: $10-25

— BE SURE TO SELECT THE BOOK THAT IS PUBLISHED IN 2016

These books (2 books) are consumable. There are two books that need to be purchased. The books are green. The books can be purchased on amazon or McGraw-Hill's website.

*If you have any questions please email me directly.

Course 2 Volume 1 ISBN- 978-0-07-668318-5 PUBLISHED IN 2016

Course 2 Volume 2 ISBN- 978-0-07-668319-2 PUBLISHED IN 2016

2 spiral notebooks

— These notebooks will be used for in class note taking and homework.

1-3 inch 3 ring binder

— This notebook will hold all of the worksheets, quizzes, tests, and answer keys.

graph paper, pencils (4), rulers and protractor

Categories: Math

Target Levels: Grade 6; Grade 7; Grade 8

Shana Smith

Tuition and Class Schedule by Academic Term:

Full Year 2024-25

Tuition and Fees

Tuition Fee: $595.00

Paid Security Guard Fee for Safety of Students: $25.00

Materials Fee: $50.00

Section 1: Shana Smith (ssmithcedar@gmail.com) (Open)

Tue 2:05

**PM**- 3:25**PM**

Topics and Objectives

1. Chapter 1 - Integers

— Determine opposite numbers, compare integers, and the absolute value of given integers

— Using the rules of addition, subtraction, multiplication, and division provided simplify all integer problems

— Use Order of Operations to simplify numerical expressions

— Organize the real number system in a graphic organizer and determine whether it is closed under various operations

— Recognize the Properties of Equality and how it is applied in solving basic arithmetic

2. Chapter 2 - Algebraic Expressions

— Translate word phrases into numerical or algebraic expressions

— Simplify expressions by combining like terms and using the distributive property

— Simplify exponential expressions using the product, quotient, or power rules

3. Chapter 3 - Equations & Inequalities

— Solve basic one and two step linear equations and inequalities by addition, subtraction, multiplication, and division

— Solve multi-step equations and inequalities with variables on one side or both sides

— Determine and understand how an equation can have one solution, no solution, or infinitely many solutions

— Translate word phrases into numerical or algebraic equations/inequalities

— Create and apply equations to real-world examples and scenarios

4. Chapter 4 - Ratios, Proportions, & Percents

— Understand the concept of a ratio and learn the various ways that it can be written

— Calculate the unit rates when given real-world applications

— Find the missing measurement value of rate when given the unit rate

— Determine whether figures are similar and solve any missing measurements when giving a scale drawing, model, or similar figure

— Solve percent proportions and use/create percent equations to determine the value of a discount, mark-up, sales tax, and tip

— Calculate the simple interest as well as the rate, time, or principal when already given the interest value

5. Chapter 5 - Functions & Linear Representations

— Understand that a function is a rule that assigns to each input exactly one output

— Interpret the equation y=mx+b as defining a linear function, whose graph is straight line

— Graph proportional relationships, interpreting the unit rate as the slope of the graph

— Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane

— Construct a function to model a linear relationship between two quantities

— Determine the rate of change and initial value of the function from a description of a relationship or from two ordered pair values, including reading these from a table, graph, or formula

6. Chapter 6 - System of Equations

— Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously

— Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations

— Solve real-world and mathematical problems leading to linear equations in two variables

7. Chapter 7 - Geometry

— Use informal arguments to establish facts about the angle sum and exterior angle of triangles, and the angle-angle criterion for similarity of triangles

— Explain the congruence of various angles when parallel lines are cut by a transversal

— Explain a proof of the Pythagorean Theorem and its converse

— Apply the Pythagorean theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions

— Apply the Pythagorean theorem to find the distance between two points in a coordinate system

— Understand the angle congruency and side similarities of similar quadrilaterals

— Memorize quadrilateral rules

8. Chapter 8 - Transformations

— Verify experimentally the properties of rotations, reflections and translations

— Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations

— Describe a sequence between two similar two-dimensions figures that exhibits the similarity between them

— Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates

9. Chapter 9 - Measurement (Area & Volume)

— Know the formulas for the perimeter and area of triangles, rectangles, squares, quadrilaterals, trapezoids, and circles

— Solve the area and perimeter of composite figures and figures of shaded regions

— Know the formulas for the volume and surface area of cones, cylinders, and spheres, and use them to solve real-world and mathematical problems

— Identifying and classify a three-dimensional figure by its proper name

— Identify the perimeter/area/volume of a figure with specific measurements per side

10. Chapter 10 - Probability & Statistics

— Understand the various forms of probability (theoretical and experimental) using the vocabulary conjunctions "and" or "or"

— Create mathematical expressions when given an independent or dependent event (compound probability) in a real-world scenario

— Determine which measures of center (mean, median, and mode) would best represent the set of data

— Calculate mean, median, mode and range

— Construct and interpret scatter plots using the measurement data given

— Investigate patterns of association between two quantities on a scatter plot

— Create a two-way frequency table when given a set of data of a real-world scenario