math · Grade 7
Solve Equations and Explain Balance
Solve two-step equations using equivalent operations.
Find this activity in the mathematics map
Explore the related learning targets, foundations and possible next connections.
Learning goals
- Solve two-step equations using equivalent operations.
Before you begin
Understand the words and representations introduced in the Explore activity.
Age and grade do not measure readiness. Adjust reading or adult support to preserve the intended learning goal.
Follow the sequence
Complete practice
Practice previewSolve Equations and Explain Balance
Practice · Independent · 25 min
Solve two-step equations using equivalent operations. A complete set with exploration, practice and application. Use the linked unit for the learning sequence and teaching guide.
1. Explore
Practice previewSolve Equations and Explain Balance: Explore and Explain
Explore · Independent · 10 min
Solve two-step equations using equivalent operations. A focused learn activity. Use the linked unit for the learning sequence and teaching guide.
2. Practice
Practice previewSolve Equations and Explain Balance: Practice Independently
Practice · Independent · 10 min
Solve two-step equations using equivalent operations. A focused practice activity. Use the linked unit for the learning sequence and teaching guide.
3. Apply
Practice previewSolve Equations and Explain Balance: Apply and Create
Apply · Independent · 15 min
Solve two-step equations using equivalent operations. A focused apply activity. Use the linked unit for the learning sequence and teaching guide.
Download the unit pack
Numbered activities, separate answer keys and a teaching guide in one ZIP. The pack uses the focused sequence; the complete practice sheet above is an alternative.
Teaching and response guide
- Begin with: Solve 4x + 3 = 23.
- Connect the response to: Solve x/3 + 4 = 9.
- Ask students to apply the idea: An invented ticket has a $3 fee plus $4 per game. The total is $23. Write and solve an equation.
Watch for: Accepting an answer without checking whether it uses the material and satisfies the requested relationship or criteria.
Check the answer criteria for each task. A supported explanation may have more than one acceptable response. These activities offer evidence to discuss; completing a sheet alone does not establish mastery.
Possible next goals
Choose the next unit when its prerequisites fit your learner.