Georgia Standards of Excellence

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Presentation transcript:

Georgia Standards of Excellence MGSE6.EE.5 Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

What Do You Notice? Look over the page of images with your partner(s). Where have you seen these images? What do they have in common? How could you talk about them with math in mind?

What Does an Equal Sign Mean?

Defining Vocabulary Words with Your Words Maximum Minimum

Prefixes: Small Changes That Mean A Lot What does “in” at the beginning of a word mean? Incapable Inattentive Infinite Inappropriate Your examples inequality

Open or Closed Circle: What Does it Mean?

How Many Correct Answers? WHY?

Graphing Solutions

Think About… “Naked number” inequality problems may have an INFINITE number of solutions, but what about REAL-WORLD problems?

A Task Jasmine wants to save up enough money to buy a new sports bag. The bag costs $48. Jasmine has $15 she saved from her birthday. To make more money, she plans to wash neighbors’ windows. She will charge $3 for each window she washes. Any extra money she makes beyond $48, she will use to buy a new soccer ball. Write and solve an inequality that represents the number of windows Jasmine can wash to save, at least, the minimum amount she needs to buy the bag. Graph the solution on the number line. What is a realistic number of windows Jasmine could wash?

Graph the solution on the number line. A Task Jasmine wants to save up enough money to buy a new sports bag. The bag costs $50. Jasmine has $15 she saved from her birthday. To make more money, she plans to wash neighbors’ windows. She will charge $3 for each window she washes. Any extra money she makes beyond $50, she will use to buy a new soccer ball. Write and solve an inequality that represents the number of windows Jasmine can wash to save, at least, the minimum amount she needs to buy the bag. Graph the solution on the number line. How is this task different from the previous task?