Curriculum / Math / 6th Grade / Unit 6: Equations and Inequalities / Lesson 11
Math
Unit 6
6th Grade
Lesson 11 of 14
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Solve one-step inequalities.
The core standards covered in this lesson
6.EE.B.6 — Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
6.EE.B.8 — Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
Students continue to engage in MP.2 as they write, solve, and interpret inequalities for real-world problems.
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Nia has a summer job working at a restaurant. She wants to save at least $500 by the end of the summer. If Nia works for 8 weeks over the summer, how much should she save each week?
Write and solve an inequality. Explain what your solution means in context of the situation.
Omar has a gift card to a department store in the amount of $100. He spends $58 on a pair of boots and then $26 on a sweater. Omar also wants to buy a hat at the store. Using his gift card, what is the most he can spend on the hat?
Solve the inequalities.
a. $${{x\over3}<27}$$
b. $${x-17.45>30.6}$$
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Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
A baker has at most 120 minutes to decorate 40 cupcakes. How long can she spend decorating each cupcake to stay within her time limit?
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The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Lesson 10
Lesson 12
Topic A: Reasoning About and Solving Equations
Represent equations in the form $${ x+p=q }$$ and $${px=q}$$ using tape diagrams and balances.
6.EE.B.6 6.EE.B.7
Define and identify solutions to equations.
6.EE.B.5
Write equations for real-world situations.
Solve one-step equations with addition and subtraction.
Solve one-step equations with multiplication and division.
Solve percent problems using equations.
6.EE.B.7 6.RP.A.3.C
Solve multi-part equations leading to the form $${x+p=q }$$ and $${px=q}$$.
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Topic B: Reasoning About and Solving Inequalities
Define and identify solutions to inequalities.
6.EE.B.5 6.EE.B.8
Write and graph inequalities for real-world conditions. (Part 1)
6.EE.B.8
Write and graph inequalities for real-world conditions. (Part 2)
6.EE.B.6 6.EE.B.8
Topic C: Representing and Analyzing Quantitative Relationships
Write equations for and graph ratio situations. Define independent and dependent variables.
6.EE.C.9 6.RP.A.3.A
Represent the relationship between two quantities in graphs, equations, and tables. (Part 1)
Represent the relationship between two quantities in graphs, equations, and tables. (Part 2)
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