Curriculum / Math / 6th Grade / Unit 6: Equations and Inequalities / Lesson 9
Math
Unit 6
6th Grade
Lesson 9 of 14
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Write and graph inequalities for real-world conditions. (Part 1)
The core standards covered in this lesson
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 foundational standards covered in this lesson
6.NS.C.7 — Understand ordering and absolute value of rational numbers.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
Four people have each packed a bag for a trip. The statements below describe the weight of each bag, in pounds, compared to 20 pounds. For each statement,
a. Caleb's bag weighs at least 20 pounds.
b. Tarek's bag weighs more than 20 pounds.
c. Vanessa's bag weighs at most 20 pounds.
d. Li Chen's bag weighs less than 20 pounds.
At Sea World San Diego, kids are only allowed into the Air Bounce if they are between 37 and 61 inches tall. They are only allowed on the Tide Pool Climb if they are 39 inches tall or under:
Air Bounce Tide Pool Climb
a. Represent the height requirements of each ride with inequalities.
b. Show the allowable heights for the rides on separate number lines.
c. Describe the height of kids who can go on the both the Air Bounce and the Tide Pool Climb.
Height Requirements, accessed on Feb. 28, 2018, 2:51 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
For each inequality below, draw a graph to represent all of the solutions to the inequality.
a. $${x>20}$$
b. $${2≥p}$$
c. $${m>-4}$$
A set of suggested resources or problem types that teachers can turn into a problem set
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
Write an inequality to represent each situation. Then draw a graph of the solution.
a. Kristen has a goal to walk at least 20 miles each week.
b. A bookshelf can hold at most 55 pounds on one shelf.
c. A fish swims at an elevation less than 10 feet below sea level.
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 8
Lesson 10
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
6.EE.B.8
Write and graph inequalities for real-world conditions. (Part 2)
Solve one-step inequalities.
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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