Work in this section introduces students to the exponent rules for multiplication, division, and powers of powers of 10. Students begin by revisiting earlier work with exponents, and expand on the definition of an exponent to include powers greater than 3. Students are also introduced to non-whole number bases.

Next, students investigate patterns to determine the rules for multiplying and...

This section introduces students to scientific notation. They begin by revisiting a table of the speeds of light through different materials alongside a zooming number line, and observe that this time, some of the values are written with a symbol instead of a symbol. Although this course tends to avoid the symbol because it is easy to confuse with ,...

Work in this section introduces students to very large and very small numbers described using multiples of powers of 10. Students begin by matching expressions to base 10 diagrams and observe that because of the structure of the place value system, these diagrams can describe many different expressions. Students also represent very large and very small numbers on a zooming...

Work in this section extends students’ understanding of exponents with a base of 10 to exponents with other bases. Students notice that the same rules previously determined for powers of 10 also hold for other bases, as long as the bases in a single expression are the same.

Students investigate operations with expressions that contain different bases and come to...

In this final section, students have the opportunity to apply their thinking from throughout the unit. As this is a short section followed by an End-of-Unit Assessment, there are no section goals or checkpoint questions. All lessons in this section are optional.