Math Teacher Prompt: Lesson, Practice Set, and Exit Ticket

Prompt

Act as an experienced middle and high school math teacher and instructional coach who plans lessons that use worked examples, then guided practice, then independent practice, and who checks every answer.

Inputs:
- Grade level, course, and class length: [GradeAndCourse]
- Standard or learning objective, in your own words or your state's wording: [Standard]
- What students already know and what came in the last lesson: [PriorKnowledge]
- Mistakes and misconceptions you have seen on this topic: [KnownMisconceptions]
- Class needs to plan for (mixed readiness, English learners, students who finish early), without names: [ClassNeeds]
- Materials you have (whiteboards, calculators, graphing tool, manipulatives): [Materials]
- A real world context your students care about: [StudentContext]

Generate:
1. A lesson goal in student friendly words and one success criterion students can check themselves against.
2. A 5 minute warm up of 3 problems that review PriorKnowledge and set up today's Standard, with answers.
3. Two worked examples solved step by step, each step with the reason in words, plus one common wrong way to solve it and why it fails, drawn from KnownMisconceptions.
4. Three "we do" problems for guided practice, with the questions to ask students at each step.
5. A tiered practice set: 4 core problems, 3 stretch problems, and 2 support problems with a scaffold, including one word problem set in StudentContext.
6. A full answer key for every problem in sections 2 to 5, with the solution steps.
7. A misconception watch list: what each mistake looks like in student work and a one line question that helps the student find it.
8. A 3 question exit ticket that checks the success criterion, with answers and what to reteach if a student misses each question.
9. Pacing for the class length in GradeAndCourse, minute by minute.

Rules:
- Check every answer by substituting it back. Show the check for the worked examples.
- Keep numbers clean enough to solve without a calculator unless Materials includes calculators and the Standard needs them.

Instructions

Replace every [bracket] with your standard, class details, and the mistakes you see. Works on ChatGPT, Claude, and Gemini. Solve every problem and check every answer key yourself before class, and do not paste student names or other identifying student information.

Generated Output

This image was generated using the prompt above.

Math Teacher Prompt: Lesson, Practice Set, and Exit Ticket - Result

Examples

Example Input

GradeAndCourse: Grade 7 math, 50 minute class.
Standard: Solve two step equations of the form px + q = r, including negative coefficients and fractions as coefficients.
PriorKnowledge: One step equations with all four operations; integer operations. Yesterday was one step equations with negatives.
KnownMisconceptions: Students subtract the constant from one side only. Some divide before undoing the addition. Sign errors when the coefficient is negative.
ClassNeeds: Mixed readiness. 4 English learners at intermediate level. A group that finishes early every day.
Materials: Mini whiteboards, no calculators today.
StudentContext: Many students play on club soccer teams and buy gear and tournament fees.

Example Output

1. GOAL
I can solve two step equations by undoing the steps in reverse order.
Success criterion: I can solve the equation and check my answer by substituting it back in.

2. WARM UP (5 min)
a) x + 9 = 4 (x = -5) b) -3x = 21 (x = -7) c) x / 4 = 6 (x = 24)

3. WORKED EXAMPLES
Example 1: 3x + 5 = 20
Subtract 5 from both sides to undo the addition: 3x = 15.
Divide both sides by 3 to undo the multiplication: x = 5.
Check: 3(5) + 5 = 20. True.
Wrong way: 3x + 5 = 20, so 3x = 20 (the 5 was crossed out on the left only). The equation is no longer balanced; subtract 5 from both sides.
Example 2: -4x + 6 = 18
Subtract 6 from both sides: -4x = 12.
Divide both sides by -4: x = -3.
Check: -4(-3) + 6 = 12 + 6 = 18. True.
Wrong way: dividing by 4 instead of -4 gives x = 3. Check: -4(3) + 6 = -6, not 18.

4. WE DO
a) 2x - 7 = 9 (Ask: what was done to x last? What undoes it?) x = 8
b) x / 3 + 4 = 10 (Ask: what do we undo first, the division or the + 4?) x = 18
c) -5x - 2 = 13 (Ask: what sign will the answer have, and why?) x = -3

5. PRACTICE SET
Core: 1) 4x + 3 = 27 2) 6x - 5 = 31 3) -2x + 9 = 1 4) A soccer tournament costs a $20 team fee per player plus $15 per game. Your total was $80. How many games did you play?
Stretch: 5) x / 5 - 6 = -2 6) -7x + 4 = -24 7) Shin guards cost $12. You buy them plus some pairs of socks at $4 each and spend $32. Write and solve an equation.
Support (first step given): 8) 5x + 2 = 17, first subtract 2 from both sides: 5x = __ 9) x / 2 + 1 = 7, first subtract 1 from both sides: x / 2 = __

6. ANSWER KEY
1) 4x = 24, x = 6 2) 6x = 36, x = 6 3) -2x = -8, x = 4 4) 20 + 15g = 80, 15g = 60, g = 4 games
5) x / 5 = 4, x = 20 6) -7x = -28, x = 4 7) 12 + 4s = 32, 4s = 20, s = 5 pairs
8) 5x = 15, x = 3 9) x / 2 = 6, x = 12

7. MISCONCEPTION WATCH
Constant moved on one side only: the right side did not change. Ask: "Is your equation still balanced?"
Divides first: 3x + 5 = 20 becomes x + 5 = 20/3. Ask: "What happened to x last? Undo that first."
Negative coefficient sign error: answer is positive when it should be negative. Ask: "Substitute it back. Does it work?"

8. EXIT TICKET
a) 6x + 4 = 22 (x = 3). Missed: reteach undoing steps in reverse order.
b) -3x - 5 = 10 (x = -5). Missed: reteach dividing by a negative.
c) Cleats cost $45 and you add laces at $3 each. You spend $54. How many laces? 45 + 3n = 54, n = 3. Missed: reteach writing the equation from words.

9. PACING (50 min)
0 to 5 warm up | 5 to 17 worked examples on the board, students copy steps | 17 to 27 we do on mini whiteboards | 27 to 42 practice set (English learners start with support problems and a sentence frame: "First I undo ___ by ___.") | 42 to 47 exit ticket | 47 to 50 early finishers share problem 7.