Problem Solving with Operations
Students will use addition, subtraction, multiplication, and division to solve problems that involve more than one step.
Example: Ken is having a pizza party with 24 friends. He is expecting everyone to eat two pieces of pizza, one cookie, and to have one drink. Pizzas have 8 slices each. The cookies come in packages of 4, and drinks are sold in packs of 6. How many of each should Ken buy? |
Main Standard: (other standards included at bottom of page)
4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Students are expected to be able to:
DPI Unpacking Document:
The focus in this standard is to have students use and discuss various strategies.
Other Standards Included/Embedded within Word Problems:
4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.
4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
4.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
Students are expected to be able to:
- Explain how you solved your problem - include your strategy, how you determined which operation to use, how you made sure your answer was reasonable, and how you made sure your answer was accurate.
- Explain why estimating is a good strategy to use when solving multi-step problems.
DPI Unpacking Document:
The focus in this standard is to have students use and discuss various strategies.
- The standard refers to estimation strategies, including using compatible numbers (numbers that sum to 10 or 100) or rounding.
- Students will have many opportunities solving multistep story problems using all four operations.
- By reasoning repeatedly about the connection between math drawings and written numerical work, students can come to see multiplication and division algorithms as abbreviations or summaries of their reasoning about quantities.
Other Standards Included/Embedded within Word Problems:
4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.
4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
4.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.