1. Class 6, September 22, 2015 Lessons 1.6 & 1.7

2.  By the end of this lesson, you should understand that: ◦ The magnitude of large numbers is seen in place value and in scientific notation ◦ Proportions are one way to compare numbers of varying magnitudes ◦ Different comparisons may be needed to accurately compare two or more quantities

3.  By the end of this lesson, you should be able to: ◦ Express numbers in scientific notation ◦ Estimate ratios of large numbers ◦ Calculate ratios of large numbers ◦ Use multiple computations to compare quantities ◦ Compare and rank numbers, including those of different magnitudes (millions, billions, …)

4.  Main idea: ◦ Numbers can be compared in multiple ways  We have discussed the importance of having multiple strategies when working with numbers in several lessons already, especially in lessons that dealt with estimation strategies and methods of calculation.  In this lesson, we saw multiple ways to compare numbers, including: ◦ Percentages ◦ Fractions ◦ Ratios ◦ Multiples

5.  By the end of this lesson, you should understand that: ◦ The order of operations is needed to communicate mathematical expressions to others

6.  By the end of this lesson, you should be able to: ◦ Perform multi-step calculations using information from a real-world source ◦ Rewrite multi-step calculations as a single expression ◦ Explain the meaning of a calculation within a context

7.  Main idea: ◦ Quantitative reasoning requires skills in reading, interpreting, and using information  Main idea: ◦ Quantitative reasoning requires understanding skills—and their meaning—needed for calculations, including order of operations, and flexibility in calculation methods