Unit 6 · Standard 6.AT.7
The Distributive Property
My Notes Level 1 Support Level 2 Standard Level 3 Enrichment
Today's objectives
Content Objective: I can use the distributive property to expand and factor expressions.
Language Objective: I can explain my steps using the words distributive property, factor, expand, and equivalent.
📖 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.
- 1a(b + c) = ab + — the factor reaches term.
- 2The rule that a(b + c) = ab + ac is the .
- 3To rewrite a sum as a product, like 3x + 12 = 3(x + 4), is to .
- 4To multiply out a product over a sum, like 3(x + 4) = 3x + 12, is to .
- 5Two expressions that always have the same value are .
- 6A number multiplied by a variable is a .
- 7Terms with the same variable part are .
Write About the Math
Use the distributive property to find the total cost. Which way of calculating is easier for you?Usa la propiedad distributiva para hallar el costo total. ¿Qué manera de calcular te resulta más fácil?
Say your answer to a partner first. Then write it, using at least two of these words:
Model: The distributive property multiplies the 3 by each item, giving the same total. — Students explain the 3 distributes to both the ticket and the snack (3 × 15 + 3 × 5 = 45 + 15 = 60), matching 3 × 20, and use the word equivalent.
Start
Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.
- 8(12 + 9) = 8 × ___ + 8 × ___ = ___ + ___ = ___. I think the ___ form is easier because ___.
- 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.