Delaware Grade 2 Math

Work through the example

An imaginary coin collection has two US quarters, one dime, and three nickels. Find its value in cents. Then compare it with three quarters.

Connect the model and calculation

Two quarters are worth 50 cents. The dime adds 10 cents, making 60. Three nickels add 15 cents, giving a total of 75 cents. Write that as 75¢ or $0.75. The collection contains six coins, but its value is not six cents. Three quarters also equal 75 cents, so the two collections have the same value even though their coin counts differ.

Understand an incorrect answer

If a student reports six cents, separate the number of objects from what each object is worth. If three nickels become three cents, label a single nickel as 5¢ and count by fives. If the value is written $75, compare the dollar sign with the cents sign: $75 describes seventy-five dollars, a different amount from 75¢. Match the notation to the unit used in the calculation.

Transfer the idea to another example

Replace one quarter in the original collection with two dimes and one nickel. Check that both choices are worth 25 cents and explain why the collection’s value stays the same. Then compare a collection of five dimes with two quarters. Ask for the amount first and the coin count separately. A picture or classroom coin model can support the explanation without requiring decimal arithmetic beyond reading the money notation. Use independently published worksheet directions to choose a related problem.

Selected Delaware Grade 2 references

The Delaware mathematics standards directory links the Common Core publisher. Delaware’s standards regulation, section 1.1.1.1, identifies adoption for the 2010–11 school year. Use the adopted document alongside the school’s instructional plan. These labels summarize the activity’s focus; read the complete expectations and mathematical practices in the publisher’s mathematics document.

Sources checked October 5, 2026. This selected activity is an entry point for instruction, not a complete curriculum checklist.

Connect the explanation with practice

Visit the Grade 2 math learning Online Center for broader support or browse available practice through the worksheet finder. This is a general collection, not a certification of complete Delaware alignment.

Grade 2 is below Delaware’s Smarter Balanced mathematics testing range, which begins in Grade 3. Use classroom observations, models, and explanations to plan early learning. Read Delaware’s official summative assessment overview.

Keep one example of the student’s reasoning with the practice result. Choose a smaller model, a related question, or a new context according to the difficulty revealed in the worked activity.

Delaware Grade 2 math: useful study questions