STEM Creations

CURSIVE HANDWRITING BOOK: TEACHING KIDS TO WRITE BEAUTIFULLY! ===== I want to state by sharing anecdotes of those who have used to e-book: Those who have bought this e-book have stated the following: "Great product!" "Easy to use!" "My students really liked this!" "Just what I was looking for." This book teaches kids how to write very well in cursive form. There are also several picture coloring exercises at the end of each section for fun and picture-word association. Early childhood educat

This document covers the different types of finding limits algebraically and analytically. The following limits techniques are covered in great detail: Direct SubstitutionFactoringConjugate MultiplicationL'Hôpital's RuleSqueeze Theorem

A matrix is a way to organize data in columns and rows. A matrix is written inside brackets [ ]. Each item in a matrix is called an entry. In mathematics, a matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers. This guide is an excellent one for anyone who wants to learn a little more about matrices. In this e-book, I will discuss the following: 1. Addition and Subtraction of Matrices 2. Multiplying a matrix by a scalar quantity 3. Finding the Determinant of a

In mathematics, a piecewise-defined function (also called a piecewise function or a hybrid function) is a function which is defined by multiple sub functions, each sub function applying to a certain interval of the main function's domain (a sub-domain). To evaluate the y value for a piecewise function, one must identify the location of x, which happens to be restricted in one of the intervals given. Once the location of the x is found, the next step is to choose f(x) or g(x) or h(x) to evaluate

In this document, the students will learn about the graphs of several trigonometric functions. These are the graphs of sine, cosine, and tangent functions. They will learn how the graphs of y=sin(θ), y=cos(θ), y=tan(θ) and their reciprocals look. It is essential that they also practice how to graph these functions on their own.

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

This lesson on finding higher order derivatives of a function is intended for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus. The process of finding derivatives can be done beyond the first derivative. The derivative of f(x) is called the 1st derivative. This is also the velocity function of f(x). The derivative of the 1st derivative is the 2nd Derivative. This is called the acceleration function of f(x). In the same manner, we can set out to find the 3rd derivat

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.

Exponential growth or decay can be modeled using an exponential function of the form: y= P ( a) ^x P = initial value of y x = time or any value for x a = multiplication factor i. If a>1 then the function y is an exponential growth where a = 1 + r and r is the growth rate as a decimal number. ii. If then the function y is an exponential decay where a = 1 - r and r is the decay rate as a decimal number. This document discusses applied problems that relate to exponential growth

What are equivalent fractions? Equivalent fractions are fractions that look different but have exactly the same value. One can generate equivalent fractions by multiplying or dividing the numerator and denominator by the same number. You can simplify fractions by dividing the numerator and denominator by the same number.

This lesson on how to derivatives of inverse trigonometric functions is intended for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus. The idea about the derivatives of inverse trigonometric functions is quite difficult to grasp in the first level of calculus. In this electronic document, I have provided a simple outline showing how the formulas are derived. The formulas are then generalized so that it is possible to find the derivative of any inverse trigonomet

In our quest to help all students succeed in AP calculus, we hereby create a series of formulas that all AP students must master. These formulas are common differentiation and integration formulas as taught in a first level of calculus course in college. Differentiation is the process of finding a derivative of a function. On the other hand, integration is the process of finding the antiderivative of a function. In this e-document, you will find all the integration rules for power functions, e

At the end of this lesson, the students should be able to subtract numbers by: 1. Lining up the numbers and placing the decimal point appropriately 2. Placing zeros in the placeholders as necessary 3. Subtracting the numbers appropriately Several examples are given. A class exercise accompanied with solutions is also provided.

Simplifying a Complex fraction A complex fraction is a fraction that has one or more fractions in the numerator, denominator or both. To simplify a complex fraction, we multiply the numerator and denominator of the complex fraction by the least common denominator of all the component fractions in the complex fractions. This process is often called the “clearing fractions.” As a result, we end up simplifying the complex fraction into a simple fraction. We call the least common denominator “the

OUTLINE In order to multiply and simplify two rational expressions: 1. Factor each numerator polynomial and multiply out the factors 2. Factor each denominator polynomial expression and multiply out the factors 3. Apply the fundamental principle of fractions by dividing the common factor or factors. 4. The simplest form will be the quotient of the product of remaining

This document describes what a quadratic function is. I have also described how quadratic equations are solved and finally, I present some applications of quadratic functions. In it you will find the following ideas. I. Quadratic Functions in Standard Form II. Solving Quadratic equations a.) By factorization b.) By using the principle of square roots c.) By the completing of squares method d.) By using the quadratic formula e.) By graphing III. Finally in the last section,

This lesson on applications of derivatives is intended for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus. In this e-book, we present a few examples of derivatives. We discuss the distance, velocity and acceleration functions. Additionally, some basic optimization problems are examined. This document will provide some clear examples that AP Calculus BC teachers will enjoy to share with their students. The examples presented are very vivid and should be very conv

This lesson on finding Limits and function Continuity is intended for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus. What is a limit? A limit of a function is the idea of looking at what happens to the y values of a function as x approaches particular values of x. In this discussion of limits, we are trying to find out what the y values tend to as x approaches some x value, say x=a, from either the left side or the right side hand side of the graph. In this un

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

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