Unit 1:  Number and Number Sense

Time Frame:  20 Days

## Unit Description

In this unit the students will deal with data that describes real-world conditions and issues, particularly environmental issues, and that data will often involve very large numbers.  Students will develop benchmarks for making sense of large numbers in measurement.  They will make sense of large numbers through the trillions and will read and write large numbers using scientific notations.  Students will review comparing and computing rational numbers.

## Enduring Understandings

·         Understanding how to read, write and compare numbers in various ways helps us make sense of our world.

·         Selection of standard measurement tools and units depends on the real world situation.

·       A personal awareness of magnitude leads to a sense of measurement, the understanding that both units and counts are essential for describing quantity.

## Essential Questions

·         What is the role of measurement?

·         How can benchmarks be developed to help make measurements readily accessible?

·         Why is accuracy handled in different ways in different situations?

·         When can special rate methods be employed in situations when ratios occur?

## Students will know…

·         Large numbers (developing benchmarks to better understand the magnitude of large numbers).

·         Units (choosing measurement units to make sense for the situation).

·         Comparing large numbers (using relative size of objects or units to better make comparisons when large quantities of the objects or units are reported.)

·         Estimation (developing estimation skills to better compare situations involving large numbers).

·         Rounding (understanding reasons for rounding large numbers and limitations of the information provided by large rounded numbers).

·         Calculations with large numbers (comparing and performing computations with large numbers—e.g., finding differences and ratios for comparison purposes—in informed ways so that more informed decisions can be made on calculations with large numbers).

·         Population density (ratio comparing large populations in large areas, e.g., number of people per square mile).

## Students will be able to…

·         Estimate with large numbers to provide reasonable approximations of large quantities and a degree of accuracy appropriate to the situation.

·         Compare large quantities (e.g., using differences, ratios, rates), including consideration of how accurate a comparison needs to be for a particular purpose.

·         Select and discuss appropriate operations and solve single and multi-step, real-life problems involving percents and decimals.

## Assessments

·       Beginning of the Year Review

·       Beginning of the Year Review Key