Unit 8 · Standard 6.AT.8
Understand Equations and Their Solutions
Cold Case Mission
The Equation Vault
You are Detective Ruiz's new code analyst. A tip just came in: 'A number of stolen gems plus 8 more equals 20 total.' The evidence vault only opens when the clue is translated into a correct equation. Master writing equations and the case cracks wide open.
My Notes Level 1 Support Level 2 Standard Level 3 Enrichment
Today's objectives
Content Objective: I can write an equation for a real situation and check whether a given value is a solution by substituting it.
Language Objective: I can explain a solution using the words substitute, solution, true, and equal sign.
📖 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 math sentence that says two amounts are equal, with an = sign, is an .
- 2A letter that stands for an unknown number is a .
- 3The symbol = that shows two amounts are the same is the .
- 4A group of numbers and variables with no equal sign is an .
- 5A fixed number that does not change is a .
- 6The value you are trying to find in an equation is the .
- 7A value that makes the equation true when for the variable is its solution.
- 8Replace the variable with a number to whether it is a solution.
Write About the Math
How many paintings has the detective recovered? How did writing an equation help you understand the situation?¿Cuántas pinturas ha recuperado la detective? ¿Cómo te ayudó escribir una ecuación a entender la situación?
Say your answer to a partner first. Then write it, using at least two of these words:
Model: I let a variable stand for the unknown number of gems. — Students choose a variable (such as n) for the unknown gems, build n + 8 = 20, and connect 'plus 8 more' to + 8 and 'equals 20 total' to = 20.
Start
Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.
- The detective recovered ___ paintings because p + 14 = 37 means p = 37 − ___ = ___.
- 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.