Tricky Clue Words: Either/Or and Neither/Nor
- Grade band
- 4
- Duration
- 40 minutes
- Skill
- Interpreting logical connectives in clues
- Standards
- RI.4.1 — Refer to details and examples in a text when explaining what the text says explicitly and when drawing inferences from the text.
- MP.1 — Make sense of problems and persevere in solving them.
- Materials
- Student worksheet (printable, included)
- Clue sort cards (printable, included)
- Pencils
Learning objectives
- Students will be able to classify a clue by what it proves: a match (✓), only eliminations (✗), or two possibilities.
- Students will be able to translate “either…or,” “neither…nor,” and “not…or…” clues into the correct grid marks.
- Students will be able to solve a 4×4 logic grid and explain each deduction by referring to specific words in the clues.
Lesson procedure
- Warm-up (5 minutes) — I Do. Write: “You can have either cake or pie.” and “You can have neither cake nor pie.” Ask how the two sentences make students feel. Then ask what each one actually proves. Point out that in a puzzle, “either…or” narrows things to two choices — it doesn't tell you which one.
- Three kinds of clues (8 minutes) — I Do / We Do. Introduce the three piles: ✓ (a match), ✗ only (rules things out), and Two possibilities. Model one card of each, then sort the rest of the Part 3 cards as a class (or on the smartboard). Linger on “Marco doesn't have the hamster or the parrot” — it's a ✗-only clue, because it rules out both.
- Translate the clue (7 minutes) — We Do. Complete Part 1 together. For each clue, students write what marks it lets them make. Emphasize that an either/or clue still gives ✗s: everyone outside the pair can be crossed off.
- Pet puzzle (15 minutes) — You Do. Students solve the 4×4 pet puzzle in Part 2 independently or in pairs, then write a sentence explaining which clue word unlocked Jada's pet.
- Share (5 minutes) — Closure. Ask: “Which clue felt like it told you nothing at first, but turned out to matter?” (Usually Clue 1 — it only becomes useful once Clue 2 removes the parrot.)
Printable worksheet
Part 1: What does the clue prove? For each clue, write what you can mark in a grid. Use ✓ or ✗ and the names.
1. “Neither Ruby nor Sid has the blue bike.”
2. “Theo has either the blue bike or the red bike.”
3. “Uma doesn't have the red bike or the green bike.”
4. Which of the three clues above sounds like a choice but is really two ✗s? Explain.
Part 2: The pet puzzle. Each friend has a different pet. Solve the grid.
- Jada has either the parrot or the turtle.
- Neither Jada nor Kofi has the parrot.
- Lena doesn't have the parrot or the rabbit.
| 🐹 hamster | 🦜 parrot | 🐢 turtle | 🐰 rabbit | |
|---|---|---|---|---|
| Jada | ||||
| Kofi | ||||
| Lena | ||||
| Marco |
Jada: Kofi: Lena: Marco:
Which word or words in the clues let you figure out Jada's pet? Explain using the clues.
Part 3: Clue sort cards. These are practice clues (not part of the pet puzzle). Cut them apart and sort them into three piles: ✓ a match, ✗ only, and Two possibilities.
Try it on your smartboard
The same clue sort, on screen. Drag each practice clue to what it proves — works with touch, a stylus, or a mouse.
✓ A match
✗ only
Two possibilities
Background for the teacher
Small connecting words carry most of the logic in a clue, and they don't always mean what they mean in everyday talk. “Either A or B” in a puzzle means exactly one of the two is true; on its own it doesn't settle anything, but it does eliminate every option outside the pair. “Neither A nor B” is simply two negatives. The trickiest form is “X doesn't have A or B”: it sounds like a choice, but it rules out both — logically it's the same as “neither A nor B.”
Students commonly make two errors: treating an either/or clue as useless (“it didn't tell me anything”) and treating “doesn't have A or B” as if only one is ruled out. The pet puzzle is built so that the either/or clue only pays off in combination with the next clue — a good illustration that clues are meant to be read together, not one at a time in isolation. Asking students to point to the exact word that unlocked an answer keeps their explanations grounded in the text.
Differentiation
Support: Give students a “clue word” bookmark: either…or = circle two boxes; neither…nor = two ✗; not A or B = two ✗. Let them solve the pet puzzle with a partner and the bookmark out.
Extension: Ask students to rewrite the pet puzzle so every clue uses a different clue word (only, either/or, neither/nor, not), while keeping exactly one solution.
ELL support: Connect the paired words visually — draw “either” and “or” linked with an arrow, and “neither” and “nor” linked the same way — and act out each with two objects (pick up one of two vs. push both away).
IEP/504 support: Reduce the clue sort to the six cards that are not either/or, then add the either/or cards once those are solid. Allow students to explain Jada's pet orally instead of writing.
Answer key (for teachers)
Part 1. 1. ✗ Ruby–blue, ✗ Sid–blue. 2. Theo is blue or red; ✗ Theo–green (and any other color); nobody else is ruled out yet. 3. ✗ Uma–red, ✗ Uma–green. 4. Clue 3 — “doesn't have the red bike or the green bike” rules out both, so it's two ✗s, not a choice.
Part 2 — Pets. Jada: turtle · Kofi: rabbit · Lena: hamster · Marco: parrot.
Explanation: Clue 1 says Jada has the parrot or the turtle; Clue 2 (“neither Jada nor Kofi”) rules out the parrot, so Jada has the turtle. Clue 3 leaves Lena only the hamster. The parrot can't be Jada's, Kofi's, or Lena's, so it's Marco's; Kofi gets the rabbit.
Part 3 — Clue sort. ✓ a match: Kofi has the rabbit; The only pet Lena owns is the hamster. ✗ only: Neither Lena nor Marco has the turtle; Marco doesn't have the hamster or the parrot; Jada's pet is not the rabbit. Two possibilities: Jada has either the parrot or the turtle; The turtle belongs to either Kofi or Lena; Either Kofi or Marco has the parrot.
Digital extension (optional)
For more practice decoding clues, try a 4×4 Scout case in Sleuth Scouts. The clue list sits beside the grid, so students can keep checking the exact clue words as they tap ✓ and ✗.