Unit 6 · Standard 6.NOS.4
Prime Factorization
Orbital Logistics Mission
Cargo Codebreak
You are the logistics officer aboard Station Helios. A shipment of 60 supply crates just docked, and the sorting robots can only distribute cargo once it is broken into its prime building blocks. Master prime factorization and the station eats this week.
My Notes Level 1 Support Level 2 Standard Level 3 Enrichment
Today's objectives
Content Objective: I can write a number as a product of its prime factors using a factor tree.
Language Objective: I can explain how I broke a number down using the words prime number, composite number, factor, and exponent.
📖 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.
- 1Writing a number as numbers multiplied together is its prime factorization.
- 2A whole number greater than 1 with exactly two factors, 1 and itself, is a number.
- 3A whole number greater than 1 that has more than two factors is a number.
- 4A number that divides evenly into another number is called a .
- 5I can break a number into its prime factors step by step using a .
- 6In 2³, the small number 3 is the and it shows 2 is multiplied 3 times.
Write About the Math
Starting from its prime factorization, how can the gardener use the factors of 72 to decide which rectangular grids will use all 72 seed pods?Empezando por su descomposición en factores primos, ¿cómo puede la jardinera usar los factores de 72 para decidir qué cuadrículas rectangulares usarán las 72 cápsulas de semillas?
Say your answer to a partner first. Then write it, using at least two of these words:
Model: 60 is composite because it has more than two factors. — Students say 60 is composite because it has more than two factors (it is divisible by numbers other than 1 and 60, such as 2, 3, 5, 6), so it can be broken down.
Start
Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.
- Because 72 = ___, I can multiply combinations of those prime factors to get factors like ___, so a grid that works is ___ by ___.
- 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.