Logarithmic and exponential functions Here is a complete list of logarithmic and exponential functions accepted by QuickMath.
This lesson is tailored to collaboration, in which students are grouped at similar ability levels or different ability levels. The properties puzzle and the riddle in the Simplifying and Evaluating Worksheet are designed to use some of the strengths of kinesthetic learner and to provide additional motivation for all students.
There is also an extension problem for students who need more practice or for students who work quicker than their peers. This lesson has four parts and each part has either individual work or partner work. Go over each problem and discuss the problems as a class. The discussions will transition the class from activity to activity.
Consider the following steps with regard to vocabulary for struggling learners: Use of a graphic organizer e. Introduce new vocabulary using student friendly definitions and examples and non-examples.
Review words with students. Can provide them with a graphic organizer depicting examples of each such as a Concept map. Use formative assessments throughout the lesson to determine the level of student understanding. Use follow-up reinforcement as necessary. Struggling learners may get lost in all the verbiage.
Struggling learners may need this reinforced. What elements did you take into consideration? Today we are going to learn how to simplify expressions so that we save time in solving exponential and logarithmic equations.
Why do we use exponents? A logarithm is also a type of exponent. It is the exponent needed to raise a number to get to another number. The logarithm is 3 and the base is 2. Remember when we write a log without a base, it is base ten. Not including 10 as the base is similar to writing x and understanding that it is really x1 x to the first power.
Here are a couple examples. Students should work on it by themselves for a few minutes and then they can pair up. They can use their calculators. Activity 2 After students have matched up the expressions, they should use the bottom of the worksheet to try to explain two of their matches.
They should explain how they know that their matches are equivalent. They may have some difficulty with this part, but give them some think-time. Make copies of the page and then cut it up into the squares. They should be able to complete this worksheet without a calculator.
For students who are having difficulty, use http: They can take this short quiz to see how well they understand negative and zero exponents. In pairs, students write an expression and their partner has to write the equivalent expression or the simplified expression.
Related Instructional Videos Note: Video playback may not work on all devices. Instructional videos haven't been assigned to the lesson plan.Section Logarithm Functions. In this section we now need to move into logarithm functions.
This can be a tricky function to graph right away. Voiceover:Let's say that we've got the function y is equal to five times two to the t power. Someone were to come up to you and say, "Hey look, this is an interesting function.". -2 2 2 4 0 y x Exponential and Logarithmic Functions Vocabulary Match each term on the left with a definition on the right.
1. exponent 2. function 3. relation 4. variable A. a symbol used to represent one or more numbers B. the set of counting numbers and their opposites C. a relation with at most one y-value for each x-value D. the number of times the base of a power is used as a factor.
Improve your math knowledge with free questions in "Domain and range of exponential and logarithmic functions" and thousands of other math skills.
In mathematics, the logarithm is the inverse function to ph-vs.com means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number ph-vs.com the simplest case the logarithm counts repeated multiplication of the same factor; e.g., since = 10 × 10 × 10 = 10 3, the "logarithm to base 10" of is 3.
The logarithmic function y = log a x is defined to be equivalent to the exponential equation x = a y. y = log a x only under the following conditions: x = a y, a > 0, and .