Unit 6 · Standard 6.AT.7
Identify Equivalent Algebraic Expressions
My Notes Level 1 Support Level 2 Standard Level 3 Enrichment
Today's objectives
Content Objective: I can show that two expressions are equivalent by simplifying and combining like terms.
Language Objective: I can explain my work using the words equivalent, simplify, like terms, and combine.
📖 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.
- 1Expressions with the same value for allowed number are equivalent.
- 2Expressions that always have the same value are .
- 3Rewriting an expression in a shorter form that is still equal to it is to it.
- 4Terms with the same variable raised to the same power, like 4x and 9x, are .
- 5To add or subtract like terms into one term is to them.
- 6A number multiplied by a variable is a .
Write About the Math
Are these expressions equivalent? How can you prove it?¿Estas expresiones son equivalentes? ¿Cómo lo puedes probar?
Say your answer to a partner first. Then write it, using at least two of these words:
Model: 3x + 2x combines to 5x, so the two forms are equivalent. — Students explain 3x + 2x = 5x (combining like terms), so both equal 5x + 10, and verify by substituting a value like x = 4 to get 30 both ways.
Start
Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.
- The expressions ___ equivalent because when I simplify 4h + 2h + 30, I get ___. I can prove it by substituting h = ___: both expressions equal ___.
- 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.