Then as the values of x increase, the slope becomes steeper and steeper.
This lesson has several parts and each part has either individual work or partner work.
We will 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. Struggling learners may need to have these objectives written with examples provided. Use formative assessments throughout the lesson to determine level of student understanding.
Use follow-up reinforcement as necessary. Consider providing written examples for them. Consider providing a more student friendly definition with examples.
Struggling learners may not understand the formulas used or how you got them or when to know which form to use example: Instructional Procedures View This lesson can be fun for students because it illustrates how exponential and logarithmic functions are used in the real world.
Ask students whether they like crime shows or solving mysteries. Have a discussion about these shows or mysteries and what students like so much about them.
Who can tell me what the most basic exponential equation is and what each part of the equation means? Most notably, exponential functions are used in population growth, interest, and bacterial growth.
Logarithmic functions are used to measure light and sound intensity, as well as measuring magnitudes of earthquakes. Review how to convert back and forth from exponential form to logarithmic form since students will be doing this when graphing logarithmic equations.
We will begin with the equation, make a table of values with a few points, and sketch the graph.Being able to graph exponential functions makes analyzing the function much easier. Another Example An area that exponential functions often show up in is finance, especially in interest problems.
The logarithmic functions log b x and the exponential functions b x are inverse of each other, hence y = log b x is equivalent to x = b y where b is the common base of the exponential and the logarithm.
The above equivalence helps in solving logarithmic and exponential functions and needs a deep understanding. Examples, of how the above relationship between the logarithm and exponential may .
Jan 03, · So the equation for that function is y = 6^x.
The other coordinate (0,1) is useless since all exponential functions pass through (0,1) since anything to the power of 0 is 1. Any question that asks you for the equation of an exponential function, you ALWAYS find (1,b).Status: Resolved.
Feb 23, · This video teaches how to convert the graph of an exponential function into its equation.
The video covers x intercepts, y intercepts, growth versus decay and other strategies that make this. The equations are diﬀerent, but in both cases, you need two pieces of information to write down the equation: some kind of rate (slope or relative growth rate) and the y -intercept.
Provide additional examples of the graphs of exponential functions and model writing the equation using well-chosen points on a graph. Provide additional examples of graphs of exponential functions and ask the student to calculate the initial amount and the growth/decay factor .