Unit 8 · Standard 6.AT.9
Understand Inequalities and Their Solutions
My Notes Level 1 Support Level 2 Standard Level 3 Enrichment
Today's objectives
Content Objective: I can graph the solutions of an inequality on a number line.
Language Objective: I can explain my graph using the words number line, open circle, closed circle, and solution set.
📖 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 line with numbers in order used to show values and solutions is a .
- 2A hollow circle that shows a value is NOT included, used for < or >, is an .
- 3A filled-in circle that shows a value IS included, used for ≤ or ≥, is a .
- 4All the values that make an inequality true form the .
- 5A math sentence comparing two amounts with <, >, ≤, or ≥ is an .
- 6The number where the solution set begins on the number line is the .
Write About the Math
Why did the detective use an open circle instead of a closed circle? What values of p are possible?¿Por qué usó la detective un círculo abierto en vez de uno cerrado? ¿Qué valores de p son posibles?
Say your answer to a partner first. Then write it, using at least two of these words:
Model: Because 2:00 itself counts, I use a closed circle at 2. — Students choose a closed circle at 2 (because 'no earlier than' includes 2) and shade to the right since later times satisfy t ≥ 2.
Start
Complete the frames. Use the word bank.Completa las oraciones. Usa el banco de palabras.
- The detective used an open circle because ___ means 12 is ___ included, so possible values are numbers ___ than 12.
- 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.