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ALGEBRA I & II CONCEPTS A.) The Real Number System - Number line and Real Numbers B.) Ratios and Proportions C.) Surface areas of different solids D.) Special triangles E.) Properties(Rules) of exponents F.) Radicals G.) Polynomials and Factorization H.) Linear equations: Slopes, parallel /perpendicular lines, distance of a line, midpoint of a line I.) Quadratic functions and equations J. Solving Quadratic equations by factorization, completing of squares, the principle of zero produ

Geometric Constructions: A Step-by-Step Guide for Teachers & StudentsThis comprehensive Geometric Constructions guide is the perfect resource for both teachers and students to master the art of geometric constructions using just a straightedge (ruler) and compass. Designed for middle and high school Geometry classes, this document makes learning constructions interactive, engaging, and fun—ensuring students not only understand the concepts but also enjoy the process. Why Teachers Love This R

Are you interesting in teaching students about matrices in a fun and exciting way! In this document, I present Math transformation by using basic matrix operations. Object transformations is a code word for six specific ways to manipulate the location of a point, the shape of a line, or any object. The original shape of the object is called the pre-image and the final shape and position of the object is the image under the transformation. In this document, we will translate, reflect, rotate,

Geometry deals with shapes and the properties of those shapes. This documents discusses basic concepts of geometry. This e-book will be useful to students taking Geometry in high school and will become handy to those taking the SAT , GRE, GMAT Math section. The topics that are discussed in this e-book are as follows: 1. Polygons 2. Angles 3. Angles Properties in Circles 4. Circles, Chords, Tangents and Quadrilaterals

By the end of the lesson the students should learn how to circumscribe a circle on a triangle by using just a pair of compass

This e-book describes what vectors are and how to add, subtract and multiply them by scalars.. The article provides a summary of the elementary ideas about vectors usually met in high school mathematics. The follow-up article 'Multiplication of Vectors' discusses scalar products and vector products. Vectors are an absolutely essential 'tool' in physics and a very important part of mathematics. Vectors are important in navigation where the actual velocity of an aeroplane relative to the earth is

In this e-document, I will examine basic area concepts that relate to the process of finding the area of a square and rectangle. Manipulation facts are also discussed. Using this document, instructors can have students work in groups and have them find areas of irregular figures that can be portioned into squares and rectangles. The formulas for for finding the finding the areas of squares and rectangles are also given.

This e-document demonstrates how we can find the area of a triangle by using the formula that the area of a triangle is one half the area of a rectangle with the same base and height. The document also describes how we can use different triangles to show the relative positions of altitudes of triangles. Students should also be able to identify the basic formula for finding the area of a triangle.

The topic of special triangles is a very common topic that is tested in the SAT Math. However, many students fail in questions relating to this idea because of a lack of thorough practice on the subject. In this e-book, the topic of special triangles is discussed in great length common tricks, sample questions and answers. The student should find this review exciting and quite applicable in answering any SAT Math type question relating to special triangles.

LOCUSDefinition:A locus is the set of all points that satisfy a given condition.How to find a Locus i. Make a diagram that contains the fixed lines or points ii. Decide what condition(s) must be satisfied and locate one point that satisfies such a condition iii. Locate several other points that satisfy the condition. These points should satisfy the pattern. iv. Use the points to draw a smooth curve or line that appears to be on the locus. v. Finally describe in words what the geometric figu

The surface area of a solid object is a measure of the total area that the surface of an object occupies. This e-book details how to find the surface area of rectangular, triangular and cylindrical prisms. In geometry, a rectangular prism has 2 ends and 4 sides. Opposite sides have the same area. The surface area is the sum of the areas of all six sides. On the other hand, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joi

In this e-document, I will examine basic area concepts that relate to the process of finding the area of a trapezoid. Manipulation facts are also discussed. Using this document, instructors can have students work in groups and have them find areas of irregular figures that can be portioned into trapezoids. The formula for for finding the finding the area of a trapezoid is also given.

How to circumscribe a circle on a triangle by using a pair of compass and a ruler.

How to construct a rhombus with a pair of compass and a ruler or straight edge

SOLVING A SYSTEM OF LINEAR EQUATIONS BY SUBSTITUTION The graphing method for solving a system of linear equations only works well when the ordered pair solution are only integers. Therefore, we need an algebraic method for solving systems of equations. There are two algebraic methods that we can use to solve a system of equations. These are: I. The Substitution Method II. The Elimination Method. This e-book describes the process of solving linear equations by using the Elimination Method

In this document, the students will learn how to find measures of angles formed by chords, secant and tangent lines. In this e-document, you will encounter examples that are easy to follow along. At the end of the document, an exercise is given and solutions to the questions asked are provided.

The Law of Cosines is a law that features in geometry and is often used to find the length of an unknown side of a triangle when the length of two sides of the triangle and the measure of the angle they form are known. This angle is called the included angle. Knowing two sides and the included angle is referred to as SAS. The triangles given are not right triangles. This document gives sufficient examples about this concept. It also discusses the rules used to solve the triangle.

The students will solve real-world and mathematical problems involving volume of cylinders, cones, and spheres. At the end of this lesson, the students should know the formulas for the volumes of cones, cylinders, and spheres and how to use them to solve volume related problems.

By the end of this lesson the student should be able to construct an equilateral triangle by using just a ruler and a pair of compass

Objectives: At the end of this e-document, the students should be able to know how to: I. Find the relationship between a radius and a tangent to a circle II. Find the relationship between two tangents drawn from the same point