Unit 6 · Standard 6.AT.7
Generate Equivalent Expressions
My Notes Level 1 Support Level 2 Standard Level 3 Enrichment
Today's objectives
Content Objective: I can use the commutative, associative, and identity properties to rewrite expressions.
Language Objective: I can explain my reasoning using the words commutative property, associative property, and identity property.
📖 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.
- 1Rules that let you reorder or regroup without changing the .
- 2The rule that order does not change a sum or product, like a + b = b + a, is the .
- 3The rule that grouping does not change a sum or product, like (a + b) + c = a + (b + c), is the .
- 4The rule that adding 0 or multiplying by 1 keeps a number the same is the .
- 5A rule that is always true in math is a .
- 6The rule that lets you multiply a number across a sum, like a(b + c) = a × b + a × c, is the .
Write About the Math
What properties did the engineer use, and why does rearranging make the calculation easier?¿Qué propiedades usó la ingeniera, y por qué reacomodar hace más fácil el cálculo?
Say your answer to a partner first. Then write it, using at least two of these words:
Model: The commutative property lets you change the order of a sum without changing the total. — Students name the commutative property and explain that 3 + 5 + 2 gives 10 in any order because reordering addends does not change the sum.
Start
Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.
- The engineer used the ___ property to change the ___ and the ___ property to change the ___. This makes it easier because 4 × 25 = ___, which is a friendly number to multiply 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.