Unit 6 · Standard 6.AT.5
Explore Numerical Expressions with Exponents
Sound Studio Mission
The Doubling Mixboard
You are the lead sound engineer at Amplitude Studios. Every time you flip a switch on the new mixboard, the volume doubles — that is the power of exponents. The headline act goes on in one hour, and you must master powers before the speakers can be safely dialed in.
My Notes Level 1 Support Level 2 Standard Level 3 Enrichment
Today's objectives
Content Objective: I can write and evaluate numbers in exponent form using a base and a power.
Language Objective: I can explain my work using the words exponent, base, power, and evaluate.
📖 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.
👆 Tap any word to see its meaning and a picture.
Level 3: try the blanks from memory first, then check the bank.
- 1The small raised number that shows how many times the base is multiplied is the .
- 2The number being multiplied repeatedly in a power, like the 3 in 3⁴, is the .
- 3A number written with a base and an exponent, like 3⁴, is a .
- 4To find the value of an expression, like 2³ = 8, is to it.
Write About the Math
How large is the file after 5 layers? Why does the file size grow so quickly?¿De qué tamaño es el archivo después de 5 capas? ¿Por qué crece tan rápido el tamaño del archivo?
Say your answer to a partner first. Then write it, using at least two of these words:
Model: The exponent counts how many times we multiply, not what we add. — Students connect each switch flip to one more factor of 2 and explain that 2³ = 2 × 2 × 2 = 8, distinguishing repeated multiplication from repeated addition (which would give 6).
Start
Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.
- After 5 layers the file is ___ MB because 4 × 2⁵ = 4 × ___ = ___. The file grows quickly because each layer ___ the size.
- 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.