## Unit 2.1 Operations and Algebraic

Thinking in Problem Solving

__Essential Questions__• How can you divide numbers using place value?

• How can you illustrate division of whole numbers using graphic representations?

• How do you solve a multistep word problem with whole numbers using equations with an unknown?

• Given a multiplication or division word problem, how can multiplicative comparison be used to solve?

• What methods can you use to assess the reasonableness of your answers?

## Unit 2.2 Division with Remainders

__Essential Questions__• What strategies can be used to find whole number quotients and remainders with up to four-digit dividends and one-digit divisors?

• Using equations, rectangular arrays, and/or area models, can you illustrate and explain division problems?

• How can you solve multistep word problems with whole numbers using the four operations?

• What does the remainder in a quotient represent?

## Unit 2.3 Area, Perimeter, and Measurement

__Essential Questions__• In what way could you represent this problem using a formula?

• By what means did you determine the measurement of the unknown quantity using your formula?

• What question is this formula/equation asking?

(e.g., 20 = 5 Å~ l is asking for the length of the rectangle that has an area of 20 square units)

• How could you represent the measurements using a drawing or diagram, such as a scaled number line, to show your measurements are related?

• What information is this problem asking you to find? What unit of measure will you need to use? How will you label your answer?

• What are you actually measuring? What units would you use to measure liquid volume?

• What is approximately 1 centimeter in length?1 meter? 1 kilometer? 1 inch? 1 foot? 1 yard?

• How can you express a larger measurement unit in terms of a smaller unit of measurement?How can you state the relationship as a multiplicative comparison?

• How can you record equivalent measurements between two different units using a table? What patterns do you notice in your table?

• What are you actually measuring? What units would you use to measure mass?

• Why is it important to be consistent with the unit you are using when measuring?

## Unit 2.4 Developing an Understanding of Fractions

__Essential Questions__• How can you show that two fractions are equivalent using a visual fraction model?

• What strategies can be used to generate equivalent fractions?

• How does a benchmark fraction, like 1/2, help you compare fractions?

• What is a common denominator?

• How can you compare two fractions with like numerators and unlike denominators?

• How can you compare two fractions with like denominators and unlike numerators?