STEM Creations

At the end of the lesson: 1. The student should be able to know how to convert a decimal number into a fraction, a percent, and a ratio 2. The student should be able to know how to convert a percent number into a fraction, a decimal, and a ratio 3. The student should be able to know how to convert a fraction number into a decimal, a percent, and a ratio 4. The student should be able to know how to convert a ratio into a fraction, a decimal, and a percent

One of the most compelling Number Patterns in Mathematics is The Pascal's Triangle which is named after Blaise Pascal, a famous French Mathematician and Philosopher. To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern. Each number is just the two numbers above it added together. The Binomial Theorem is a quick way of multiply out a binomial expression that has been raised to some (generally inconveniently large) power. For instance, t

Are your students struggling when learning how to multiply numbers? Do they forget to remember the products of two numbers? Do they see patterns during multiplication of numbers? If NO. This e-book is for you. It is very easy to find the products of two numbers. The idea is rooted in noticing patterns. When your students notice these patterns, they will never be the same when it comes to multiplying numbers. As an instructor, I often find it amazing when I encounter students who cannot even re

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

SAT Mathematics is a required entrance exam to many colleges and universities. Despite its importance, many students continue to struggle in it yet this exam is based on very common basic Math principles. When these ideas are reviewed in depth, any student is bound to boost their SAT score tremendously. This study guide is based on ideas that I have used to help students study SAT Math. I have had immense success in helping students succeed. One of my students recently scored a 770/800 in the

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

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 document describes how to teach students to learn about equivalent fraction by using strips or sectors.

In this New SAT Review, we present with examples the following: A. Quadratic functions and parabolas: Questions with answers B. Quadratic functions and Equations: Questions with answers C. Arithmetic and geometric sequence: Questions with answers D. Solving Ratios and proportions equations: Questions with answers

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

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

OUTLINE In order to divide and simplify two rational expressions: 1. Multiply the first rational expression by the reciprocal of the second rational expression. 2. Factor each numerator polynomial and multiply out the factors 3. Factor each denominator polynomial expression and multiply out the factors 4. Apply the fundamental principle of fractions by dividing the common factor or factors. 5. The simplest form will be the quotient of the product of remaining expressions

Teaching kids how to multiply numbers the easy way

This lesson is essential in solving Math problems in grades 9 - 12. The students will learn how to break down numbers by identifying their products. The products of these numbers must include the highest perfect square of the number. The steps involved are as follows: Step 1: Find the largest perfect square that divides the number in the radical. Step 2: Break the radical expression such that the radical of a quotient is the product of the radicals. Step 3: Simplify the product by calculatin

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

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 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 or decay. The ideas have been laid out so that they are easy to follow. Questions and answers are given. Step by step solutions are a