AP CSP Topic 3.8: Iteration | Big Idea 3 | APCSExamPrep.com

AP CSP Course Big Idea 3 Topic 3.8: Iteration
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3.8
AP CSP — Big Idea 3: Algorithms & Programming
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Topic 3.8: Iteration

🎓 High School AP
💻 Python + AP Pseudocode
🎯 30-35% Exam Weight
📚 Interactive Lesson

🎯 Learning Objectives

  • Trace REPEAT N TIMES and REPEAT UNTIL loops
  • Convert between AP pseudocode loops and Python while/for
  • Predict when a loop terminates
  • Detect infinite loops and off-by-one errors
📈
Exam Impact: Iteration is one of the highest-frequency BI3 topics. Expect 4-6 loop-tracing questions on the AP exam.
💡 Why This Matters

Summing 100 numbers manually takes 99 addition steps in code. A loop does it in 4 lines that work for 100 or 100,000 numbers.

REPEAT N TIMES vs REPEAT UNTIL

AP pseudocode gives you two loop types. Python's while and for implement both.

# REPEAT 4 TIMES
for i in range(4):
    print("hello")

# REPEAT UNTIL count >= 10
count = 0
while count < 10:
    count = count + 1
REPEAT 4 TIMES
{
    DISPLAY("hello")
}

count <- 0
REPEAT UNTIL count >= 10
{
    count <- count + 1
}

Common Traps

Infinite loop: Stopping condition never becomes true.
Off-by-one: range(5) gives 0,1,2,3,4 -- 5 iterations ending at 4.
REPEAT UNTIL: Runs while condition is FALSE, stops when TRUE -- opposite intuition from while.

AP exam trap: REPEAT UNTIL stops when the condition becomes TRUE. A while loop in Python runs while the condition is TRUE. These are opposite.

Practice Problems

🔎 Practice MCQ
How many times does this loop body execute?
i <- 1
REPEAT UNTIL i > 5
{
    i <- i + 1
}
⚠️ Predict your answer BEFORE clicking.
🔎 Practice MCQ
After this code, what is total?
total <- 0
REPEAT 4 TIMES
{
    total <- total + 3
}
⚠️ Predict your answer BEFORE clicking.
🔎 Practice MCQ
A student loops over a 5-element list (indices 0-4). Which versions have an off-by-one error?
I. for i in range(5)
II. for i in range(1,5)
III. for i in range(6)
⚠️ Predict your answer BEFORE clicking.
🎮 Game
Loop Tracer
Trace variable values through loops. 8 questions.
0
Correct
1/8
Question
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Streak 🔥
🐛 Trace this code:
0/8
correct
💻 Python Code Editor
Practice Problems
Write Python and check your answer. Paste into Replit for complex programs.
Problem 1 of 3
Print the sum of 1 through 10 using a loop. Expected: 55
Hint: total = total + i inside the loop.
Problem 2 of 3
Print numbers 1 through 5 each on their own line.
Hint: for i in range(1, 6): print(i)
Problem 3 of 3
Spot the infinite loop: should count 1-5 but never stops.
i = 1
while i <= 5:
    print(i)
Hint: Add i = i + 1 inside the loop. Without incrementing, the condition never becomes false.

Frequently Asked Questions

REPEAT N TIMES executes a fixed predetermined number of times. REPEAT UNTIL executes until a condition becomes true -- count unknown in advance. Use REPEAT N TIMES when you know the count; REPEAT UNTIL when waiting for a state change.
Trace the first and last iterations explicitly. For range(n), the last value is n-1. Always ask: what is the value on the first iteration? What triggers the stop?
No. AP pseudocode REPEAT UNTIL is a do-while: the body always executes at least once before the condition is checked. Python's while loop can execute zero times if the condition starts false.
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