This lesson introduces place value and patterns through vocabulary words like factor, multiple, product, quotient, and exponent. Students learn how to recognize multiples of 10 and 100. They investigate how many small cubes it takes to make a long cube. The lesson shows relationships between numbers when multiplied or divided by 10 through examples like 3000, 30, 100, 1, 700, 7, 90,000, 900. Students describe the relationship between numbers like 400 and 4000.