Solve One-Step Addition and Subtraction Equations
I can solve one-step addition and subtraction equations using inverse operations.
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🎯 Content Objective / Objetivo de contenido
I can solve one-step addition and subtraction equations using inverse operations.
Today's Flow
Total pacing: ~45 min · Progress bar at top tracks your place
LAUNCH
⏱ ~10 min
⏱️ 3 MIN · THINK-PAIR-SHARE
Detective Chen's clue is n + 23 = 58, where n is a locker number. Why can't she just 'know' n by looking, and what could she do to both sides to find it?
Check for Understanding #1
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Case File: The Missing Number
Detective Chen found a coded message: 'The suspect's locker number plus 23 equals 58.' She needs to figure out the locker number to crack the case. The equation is n + 23 = 58. What is n?
Concept Launch
💡 How do I solve an addition or subtraction equation?
To solve means to find the value that makes the equation true. I use the inverse operation (the opposite) to get the variable alone, and I do the same thing to both sides.
Undo the operation with its inverse, and do it to both sides to keep the equation balanced.
Check for Understanding #2
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Now it's your turn
VOCABULARY
⏱ ~8 min
| Term / Término | Meaning / Significado | Example / Ejemplo | Visual |
|---|---|---|---|
| Equation Ecuación |
A math sentence with an equal sign showing both sides are the same. Una oración matemática con un signo igual que muestra que ambos lados son iguales. |
x + 5 = 12 — both sides equal 12 when x = 7 | |
| Inverse operation Operación inversa |
Two math actions that undo each other, like × and ÷. Dos operaciones que se deshacen entre sí, como × y ÷. |
Addition undoes subtraction: if x − 3 = 10, add 3 to get x = 13 | |
| Isolate Despejar |
To get the letter by itself on one side. Dejar la letra sola en un lado. |
x + 5 = 12 → subtract 5 from both sides → x = 7 (x is isolated) | |
| Solution Solución |
The number that makes the equation true. El número que hace verdadera la ecuación. |
x = 7 is the solution to x + 5 = 12 because 7 + 5 = 12 ✓ | |
| One-step equation Ecuación de un paso |
An equation you can solve in a single step using one inverse operation. Una ecuación que puedes resolver en un solo paso usando una operación inversa. |
x + 4 = 9 is solved in one step: subtract 4 from both sides, so x = 5. | |
| Balance Equilibrio |
Keeping both sides of an equation equal by doing the same thing to each side. Mantener ambos lados de una ecuación iguales haciendo lo mismo a cada lado. |
If you subtract 4 from the left side, you must subtract 4 from the right to keep balance. |
Which Word Fits?
A math sentence with an equal sign showing two equal amounts is an ___.
Use It In a Sentence
Check for Understanding #3
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Turn & Talk — Launch
Detective Chen's clue is n + 23 = 58, where n is a locker number. Why can't she just 'know' n by looking, and what could she do to both sides to find it?
👂 Listen For
Students recognize 23 is added to n and that subtracting 23 (the inverse operation) from both sides will isolate n.
Extend: How would your plan change if the clue were n − 23 = 58 instead? Justify which inverse operation you would use.
EXPLORE & PRACTICE
⏱ ~18 min
Visual Modeling Workspace
Use the drawing tray below to annotate the visual model. Teacher: say "Click to reveal" on key steps.
Explore Activity
Use the balance scale to solve n + 23 = 58. What must you do to both sides to isolate n?
✍️ Explore Discourse
Why do you have to subtract 23 from BOTH sides, not just one?
Whiteboard Moment
Show your work clearly. Be ready to explain your thinking to a partner.
Turn & Talk — Explore
What inverse operation did you use to solve n + 23 = 58, and why must you do it to BOTH sides of the balance?
👂 Listen For
Students subtract 23 from both sides to get n = 35 and explain that doing the same to both sides keeps the equation balanced and the solution true.
Extend: How can you check that n = 35 is the solution? Show why checking matters even when your steps look correct.
Practice Check A
A shirt costs $d. After a $15 discount, it costs $38. What is d?
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Practice Check B
Solve: x + 9 = 15
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Expression Simplify
Complete the interactive activity using today's strategy.
✍️ Justify Your Thinking
Sort each equation into the correct inverse operation you would use to solve it.
A classmate turned in the work below. One step has a mistake. Read every step, find it, name it, and fix it.
Choose ONE option to show what you know — then do it in the workspace below.
Use evidence from today's lesson to complete each frame.
Today's key idea is: "Undo the operation with its inverse, and do it to both sides to keep the equation balanced." — and it works because ___.
Because Equation means ___, but a tricky part is ___, so I have to ___.
A common mistake with Equation is ___. It happens because ___, and the fix is ___.
I can prove my answer is correct by ___, using Inverse operation to check my work.
✍️ TWR · WRITE 3 SENTENCES · 7 MIN
Undo the operation with its inverse, and do it to both sides to keep the equation balanced. because ___
Undo the operation with its inverse, and do it to both sides to keep the equation balanced. but ___
Undo the operation with its inverse, and do it to both sides to keep the equation balanced. so ___
🌱 TWR · GROW THE KERNEL · 6 MIN
Answer these to add detail
Sentence starters (tap to use)
Student Workspace
Use the balance scale to solve n + 23 = 58. What must you do to both sides to isolate n?
| Column A | Column B |
|---|---|
✏️ Sketch Your Strategy
Differentiation Paths
Step-by-step with a worked model and sentence frames.
Solve: x + 9 = 15
Core practice aligned to the standard.
Extension with error analysis or multi-step reasoning.
Partner Activity
Work with your partner on the practice problems at your differentiation path level. Explain each step using math vocabulary.
Check for Understanding #4
Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.
Real-World Connection
🌍 Math in the Wild
A hiker has walked some distance and still has 4.5 miles left on a 12-mile trail. The equation d + 4.5 = 12 represents her situation, where d is the distance already walked.
✍️ Connection Reasoning
How far has the hiker walked? How did you use inverse operations?
The hiker walked ___ miles because d + 4.5 = 12 means d = 12 − ___ = ___.
Turn & Talk — Connect
Where might solving a one-step equation help you find a missing amount in real life?
👂 Listen For
Students give a realistic context (money saved, distance left, missing count) and connect it to isolating a variable using an inverse operation.
Extend: Critique: 'Adding the same number to both sides changes the answer.' Use the idea of keeping the equation balanced to explain why this is false.
CLOSURE & REFLECT
⏱ ~8 min
Today I learned that ___ because ___.
One thing I am still not sure about is ___.
Solve: p + 2.8 = 9.1
Bonus Exit Check
Solve: y − 7 = 20
✍️ Show Your Work
Explain why your answer is correct using today's vocabulary.
Reflection & Self-Assessment
Continue Learning
Launch the Full Interactive Activity
Students continue practice in the HTML lesson engine with auto-check, hints, and differentiation.
Family Connection
Share tonight's family homework and discuss one vocabulary word at home.
Open Family Homework ↗Teacher Notes
⏱️ Pacing Guide
- Launch & vocab: 12 min
- I Do / We Do / You Do: 15 min
- Explore & practice: 15 min
- Connect & closure: 8 min
Total: ~45 min
🎯 Listen For · Common Errors
• Students recognize 23 is added to n and that subtracting 23 (the inverse operation) from both sides will isolate n.
• Students subtract 23 from both sides to get n = 35 and explain that doing the same to both sides keeps the equation balanced and the solution true.
• Students give a realistic context (money saved, distance left, missing count) and connect it to isolating a variable using an inverse operation.
• Listen for students naming a specific strategy tied to 6.EE.7 — not just "I multiplied." They should connect steps to the key idea.
Common mistake: A common mistake in Solve One-Step Addition and Subtraction Equations is skipping the key idea: "Undo the operation with its inverse, and do it to both sides to keep the equation balanced." — always check your work against this rule before you submit.
Answer Key (Teacher Appendix)
Hide this slide during presentation or move to the end of your copy.
✓ Practice 1: $53 — d − 15 = 38 → d = 38 + 15 = 53.
✓ Practice 2: x = 6 — Subtract 9 from both sides: x = 15 − 9 = 6. Check: 6 + 9 = 15 ✓
✓ Practice 3: y = 27 — Add 7 to both sides: y = 20 + 7 = 27. Check: 27 − 7 = 20 ✓
✓ Practice 4: n = 27 — Subtract 15 from both sides: n = 42 − 15 = 27. Check: 27 + 15 = 42 ✓
✓ Exit ticket: p = 6.3 — Subtract 2.8 from both sides: p = 9.1 − 2.8 = 6.3. Check: 6.3 + 2.8 = 9.1 ✓