A problem designed to be played with — it has rules, a goal, and room to imagine solutions.
Example: The Tower of Hanoi is a puzzle that was invented in 1883.
Math is Playful
I can use patterns and relationships to make sense of the Tower of Hanoi puzzle and think logically about its solutions.
Speaking and writing goal: I can describe a puzzle strategy using the words pattern, rule, and predict.
What Your Child Is Learning
In this lesson, students practice how to use patterns and relationships to make sense of the tower of hanoi puzzle and think logically about its solutions. They learn to show their thinking with numbers, pictures, words, or a model. The goal is not just getting an answer. Students should be able to explain why the answer makes sense.
Why This Matters
This skill supports everyday problem solving with money, measurements, games, planning, and checking whether an answer is reasonable.
What It May Look Like In Class
Your child may use the interactive lesson, guided notes, examples from the board, partner talk, and short practice problems. They may be asked to solve, draw a model, label important numbers, and explain their reasoning in a sentence.
How You Can Help At Home
You do not need to teach a new method. Ask your child to read the problem out loud, circle the important numbers, and explain what they tried first. Helpful questions include: What do you know? What are you trying to find? Does your answer make sense?
Apoyo para familias en español
Qué está aprendiendo su hijo/a
En esta lección, su hijo/a practica resolver problemas y explicar su pensamiento. Puede usar dibujos, números, palabras o modelos para mostrar su pensamiento. Lo más importante es que pueda explicar por qué su respuesta tiene sentido.
Por qué es importante
Esta habilidad ayuda con dinero, medidas, juegos, planificación y con revisar si una respuesta es razonable.
Cómo puede ayudar en casa
No necesita ser experto/a en matemáticas. Pídale a su hijo/a que lea el problema en voz alta, marque los números importantes y explique su primer paso. Puede preguntar: ¿Qué sabes? ¿Qué necesitas encontrar? ¿Tu respuesta tiene sentido?
Key Vocabulary
Something that repeats or changes in a predictable way.
Example: 1 disc takes 1 move, 2 discs take 3, 3 discs take 7 — the moves follow a pattern.
A rule that tells you how to get the next value in a pattern from the one before it.
Example: Double the number of steps and add 1 to find the steps for a tower with one more disc.
To say what will happen before it happens, using a pattern or reasoning.
Example: The table let us predict that a five-disc tower takes 31 steps — without moving a single disc.
To arrange information — often in a table — so patterns become easier to see.
Example: We can create a table of discs and steps to help us identify any patterns.
Try It Together
Pick one or two problems. Let your child explain the first step before opening the answer.
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Estimate first, then solve: 48 / 6.
Show answer
Estimate about 50 / 5 = 10; exact answer 8
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Explain one way to check an answer.
Show answer
Use the opposite operation, a model, or estimation.
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Write a number story for 12 x 3.
Show answer
Answers vary; for example, 12 rows of 3 chairs.
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What should you do if an answer seems too big or too small?
Show answer
Re-read the problem and check with an estimate.