Illustrative Mathematics: F le.a & N Rn Extending the Definitions of Exponents 2

Introduce the concept of exponential functions with an activity that extends the definition of exponents to include rational values. Start with a doubling function at integer values of time, then expand table to include frational time...

Scientist work with negative integer exponents all the time. Here, participants will learn how to relate negative exponents to time and to generate equivalent numerical expressions. Learners will apply the properties of integer exponents...

The properties of exponents are all linked together and it is your mathematicians' job to discover and apply those rules. The comprehensive lesson begins with a pre-assessment task to check for prior knowledge and then goes into a...

Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...

After defining a simple function from a word problem, a short video shows how to find its domain and range. The instruction reinforces the definitions of domain and range with a concrete example.

Index the rules of exponents. The British resource presents the laws of exponents for multiplication, division, raising a power to a power, and raising to the power of zero. Explanations demonstrate why the rules work.

For this task, students analyze the sizes of a country's population and of its food supply to determine when and if food shortages will occur. To solve it, they must construct and compare linear and exponential functions and find where...

The context of this task is that a quarter was put into a bank account in 1901 and students are asked to calculate its value in 2013 at two different interest rates. Those amounts are compared to the appreciation rate of a rare and...

For this problem, students use an exponential equation to investigate the warming up of a cold beverage on a summer day and analyze a graph to estimate temperatures. Aligns with F-LE.B.5 and F-BF.B.

In this task, students are shown a table of U.S. population data between 1982 and 1988 and are asked to explore whether linear functions would be appropriate to model relationships within the data. Aligns with F-LE.B.5 and F-LE.A.1.b.