Evaluating Expressions Worked Example for Grade 6
A worked-example packet for 6th graders that walks through evaluating a real-world expression, Naomi's bus fare modeled as 1.50(18 + x), using a Data, Operation, Answer organizer. It builds skills in substituting values, applying order of operations, and interpreting an answer in context, and it works well for a 30 to 40 minute guided practice block or small-group support.
Teacher Guide & Tips
- Use this as a guided model before independent practice, reading through the Data, Operation, and Answer steps together and having students explain why parentheses are evaluated first.
- Discussion questions: Why do we add 18 and 12 before multiplying by 1.50? What does the final number tell us about Naomi's total spending?
- Scaffold for struggling readers: Have students fill in the Data section on their own copy first, and pair the expression with a simple bus-ride story they can act out or sketch.
- Extension for advanced students: Ask them to write a new context problem with a different cost and ride count, then evaluate it and check whether changing x changes the total as expected.
- Estimated time: about 10 minutes to model the worked example and 15 to 20 minutes for students to try a similar problem with support.
Evaluating Expressions Worked Example for Grade 6
A worked-example packet for 6th graders that walks through evaluating a real-world expression, Naomi's bus fare modeled as 1.50(18 + x), using a Data, Operation, Answer organizer. It builds skills in substituting values, applying order of operations, and interpreting an answer in context, and it works well for a 30 to 40 minute guided practice block or small-group support.
Teacher Guide & Tips
- Use this as a guided model before independent practice, reading through the Data, Operation, and Answer steps together and having students explain why parentheses are evaluated first.
- Discussion questions: Why do we add 18 and 12 before multiplying by 1.50? What does the final number tell us about Naomi's total spending?
- Scaffold for struggling readers: Have students fill in the Data section on their own copy first, and pair the expression with a simple bus-ride story they can act out or sketch.
- Extension for advanced students: Ask them to write a new context problem with a different cost and ride count, then evaluate it and check whether changing x changes the total as expected.
- Estimated time: about 10 minutes to model the worked example and 15 to 20 minutes for students to try a similar problem with support.