Lesson objective: Understand that properties can be used to perform operations when numbers are written in scientific notation in the same way they work with all numbers.
Students bring prior knowledge of properties from 7.NS.A1.D and 7.NS.A.2.C. This prior knowledge is extended to numbers written in scientific notation as students use what they know about commutative and distributive properties to test and see how they work with numbers in scientific notation. A conceptual challenge students may encounter is factoring when powers of ten are different.
The concept is developed through work with an area model in the prior knowledge section, which reminds students how properties such as the distributive property can be helpful when multiplying certain numbers.
This work helps students deepen their understanding of operations because students are using commutative and distributive, as well as exponent properties to add and multiply numbers written in scientific notation.
Students engage in Mathematical Practice 2 (reason abstractly and quantitatively) as they use what they know about properties with rational numbers and figure out how they can work for numbers written in scientific notation.
Key vocabulary:

coefficient

commutative property

distributive property

exponent

factor
 power of ten