Neft Teacher · Notes Packet
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Unit 10 · Standard MPP.7

Math is Playful

Lesson 10-3

My Notes Level 1 Support Level 2 Standard Level 3 Enrichment

Today's objectives

Content Objective: I can use patterns and relationships to make sense of the Tower of Hanoi puzzle and think logically about its solutions.

Language Objective: I can describe a puzzle strategy using the words pattern, rule, and predict.

📖 See Learn It for the explanation and worked examples, and the Vocab tab for the words. These are your notes to fill in and keep.

✏️ Fill in each blank as we go. Use the Word Bank to help you.

📚 Word Bank — fill each blank with the best word

👆 Tap any word to see its meaning and a picture.

Level 3: try the blanks from memory first, then check the bank.

  1. 1A problem designed to be played with — rules, a goal, room to imagine — is a .
  2. 2Objects or shapes repeated in a regular order form a .
  3. 3The rule for getting the next value from the one before is the .
  4. 4To say what will happen before it happens, using a pattern, is to .
  5. 5To arrange information so patterns become easier to see is to it.

Write About the Math

How can a pattern help you imagine the solution?¿Cómo te puede ayudar un patrón a imaginar la solución?

Say your answer to a partner first. Then write it, using at least two of these words:

Model: The pattern rule is to double the previous number of moves and add 1: 1 × 2 + 1 = 3, and 3 × 2 + 1 = 7. — A strong answer states 'double and add 1' and checks it against both jumps (1→3 and 3→7). A weak answer only notices the numbers are growing without naming the rule.

Start

Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.

  • The pattern rule for the Tower of Hanoi is to ___ the number of steps for the smaller tower and ___ for each new disc. Applying this rule twice starting from 7 steps for a three-disc tower gives a five-disc tower a minimum of ___ steps.
  • My answer is ___ because ___.Mi respuesta es ___ porque ___.

Build

Write two connected sentences. Use because, so, or but.Escribe dos oraciones conectadas. Usa porque, entonces o pero.

  • My claim is ___.Mi afirmación es ___.
  • My evidence is ___, so ___.Mi evidencia es ___, entonces ___.

Explain

Write a claim, give math evidence, and explain your reasoning.Escribe una afirmación, da evidencia matemática y explica tu razonamiento.