SciMthds Search vs Logarithmic Identities PRO

This App uses a very fun and engaging activity involving mixing three primary colors to match a given specimen of unknown mixing. The challenge is to find the combination of primary color intensities that make up the target specimen color in as few test tries as possible. It is a very simple activity; but one that can be made ever more challenging by dialing down the allowable matching error. With the introduction of an error measurement meter and mathematical methods of seeking convergence, this activity also becomes an elegant means of giving students valuable insights and experiences into the application of math to find solutions. Whereas the natural tendency is to try to solve the mixing using trial and error, with this unit students will discover how ineffective guessing is and how much more successful mathematical methods are at efficiently converging to the solutions. The unit is structured and carefully differentiated to work over a wide range of abilities, and can be employed to support many learning standards, so that its use can span classrooms from grades 3 to 12 and/or can be used for learning at home. COLOR THEORY: Introduce students to color theory and how monitors use primary colors to generate a wide gamut of color hues while having fun doing color matching activities that can be stepped up in challenge level. SCIENCE METHODS INCLUDE: Pattern Recognition Information Modeling Accuracy and Error Measurement Systematic Problem Solving Solution Convergence SOLUTION STRATEGIES: Guess Error Measurement Bisection Ratio Gradient APP CONTENT: * Five Computer Simulations of Color Mixing & Problem Solving Methods * 3-Dimensional Information Modeling * Simulation of Three Different Experimental Design Scenarios * Seven classroom activity lessons with objectives * Three hands-on lab plans with material lists, notes * Teacher Lesson Answers and Lab Guidance PROBLEM SOLVING: At its foundation, this App teaches students how math and science can be used to find experimental solutions; it introduces students to the important ideas and methods of Experimental Design. How do you match the color, to repaint a car that has been damaged, when the original color of the car has faded? How do you mix several color dyes together for an accessory when you wish to match the color of a dress? How does an astronomer determine the abundance of a certain heavy metal in the photosphere of a star when the observed spectrum is affected by the temperature, density, and pressure of the star? Experimental Design problems abound in all aspects of life; the question asked often is how much of several known inputs are needed to get the results desired. By doing similar color mixing experiments on the computer, students will discover how much more rapidly they can: do the color mixing tests, investigate solution strategies, and develop pattern recognition. They will experience how computers are used as a tool to study real world problems and learn solution strategies. To enhance connections to the physical world, the App includes write-ups for labs that are easy to put together and use to work the concepts offline as well. Students perform experiments mixing food-coloring dyes, trying to match a color of unknown formulation. These labs help the students grasp the issues and develop an awareness of the difficulties in arriving at an experimental solution; it provides greater insights into how such problems are actually solved in science and industry. Direct links between computer technology, numerical methods, and the lab experiments are established in simulating the same type of experiments on the computer.

In many cases you can calculate the logarithm by transforming it and changing its shape. This app focuses on the basic operations: addition, subtraction, multiplication, division and changing the base of the logarithm. You need to enter all values and the app shows the usage of certain calculation rules of the logarithm step by step. There you see how the transformation of the logarithm may lead to an easier way of calculation but with the same results. An infographic contains all calculation rules of the logarithm. Decimals, fractions and negative values are supported. The solution is shown step by step. All calculations are stored in the history. The final solution can be shared. [ Contents ] - modes for logarithm (addition, subtraction, multiplication, division, change of base) - all logarithm values must be entered - results are calculated and shown in detail - the application of the transformations of the logarithm - full list of logarithm rules - history function to save the input - detailed solution - negative values, decimal numbers and fractions are supported - no ads! [ Usage ] - there are fields for entering values using a special keyboard - press the check mark button at the bottom right to start the calculation - if values are missing, the relevant field is highlighted in yellow - if the values are wrong, the affected field will be highlighted in red - the entries in the history can be deleted or sorted - if you select an entry in the history, it will be automatically loaded for the calculation - the whole history can be deleted by pressing a button - solutions can be shared - touching the question mark button displays information about the topic