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Algebra: Applications with Inequalities
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In this lesson students write and solve multi-step inequalities, including compound inequalities,when given problem situations. Students watch a video tutorial, explore guided notes and attempt practice problems.

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Subject:
Mathematics
Material Type:
Lesson
Provider:
CK-12 Foundation
Provider Set:
CK-12 Algebra
Date Added:
11/15/2023
Algebra: Applications with Inequalities
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In this lesson students learn how to solve real-world problems involving inequalities. Students watch a video tutorial, explore guided notes and attempt practice problems.

A free CK-12 account is required to view all materials.

Subject:
Mathematics
Material Type:
Lesson
Provider:
CK-12 Foundation
Provider Set:
CK-12 Algebra
Date Added:
11/15/2023
Algebra Lecture Notes
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This site from Richland Community College provides lecture notes to a class on Algebra. It covers a wide array of topics including functions, quadratic equations, inequalities, and much more.

Subject:
Mathematics
Material Type:
Lesson
Provider:
Richland Community College
Date Added:
08/07/2023
Anthony Jack in the Xchange: Higher Ed's Hidden Curriculum
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In this episode on Higher Ed’s Hidden Curriculum, Anthony Jack shares insights from his award-winning research on how inequality and poverty shape the life chances of college students. We also learn how Tony’s high school trajectory shaped his career, and discuss whether COVID-19 might inspire a new contract for higher ed’s commitment to disadvantaged students.

A new virtual interview series from LabXchange at Harvard University, the Xchange showcases the diverse roles, projects, and initiatives that make up the intersecting fields of science, education, and health. Hosted by LabXchange Faculty Director Robert Lue, our first season features a range of perspectives on the impact of COVID-19.

Subject:
Practitioner Support
Science
Material Type:
Lecture
Provider:
LabXchange
Provider Set:
LabXchange Videos
Date Added:
10/25/2023
Black Urban Poor, William Julius Wilson
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In this 1998 FRONTLINE interview, Harvard sociologist Dr. William Julius Wilson explains why, despite an overall increase in the standard of living among African Americans, a segment of the population is falling farther and farther behind.

Subject:
Social Studies
Material Type:
Primary Source
Provider:
PBS LearningMedia
Date Added:
11/06/2023
Equations and Inequalities
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Students discover how to use equations and inequalities to model relationships between quantities, and investigate the meaning of having a solution to an equation or an inequality.

Subject:
Mathematics
Material Type:
Unit of Study
Provider:
Fishtank Learning
Provider Set:
Mathematics
Date Added:
11/19/2021
Equations and Inequalities
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Students solve equations and inequalities with rational numbers, and encounter real-world situations that can be modeled and solved using equations and inequalities.

Subject:
Mathematics
Material Type:
Unit of Study
Provider:
Fishtank Learning
Provider Set:
Mathematics
Date Added:
11/19/2021
Math, Grade 6, Equations and Inequalities
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Equations and Inequalities

Type of Unit: Concept

Prior Knowledge

Students should be able to:

Add, subtract, multiply, and divide with whole numbers, fractions, and decimals.
Use the symbols <, >, and =.
Evaluate expressions for specific values of their variables.
Identify when two expressions are equivalent.
Simplify expressions using the distributive property and by combining like terms.
Use ratio and rate reasoning to solve real-world problems.
Order rational numbers.
Represent rational numbers on a number line.

Lesson Flow

In the exploratory lesson, students use a balance scale to find a counterfeit coin that weighs less than the genuine coins. Then continuing with a balance scale, students write mathematical equations and inequalities, identify numbers that are, or are not, solutions to an equation or an inequality, and learn how to use the addition and multiplication properties of equality to solve equations. Students then learn how to use equations to solve word problems, including word problems that can be solved by writing a proportion. Finally, students connect inequalities and their graphs to real-world situations.

Subject:
Algebra
Mathematics
Provider:
Pearson
Math, Grade 6, Equations and Inequalities, Balance Scale As A Mathematical Model
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Lesson OverviewStudents solve a classic puzzle about finding a counterfeit coin. The puzzle introduces students to the idea of a scale being balanced when the weight of the objects on both sides is the same and the scale being unbalanced when the objects on one side do not weigh the same as the objects on the other side.Key ConceptsThe concept of an inequality statement can be modeled using an unbalanced scale. The context—weighing a set of coins in order to identify the one coin that weighs less than the others—allows students to manipulate the weight on either side of the scale. In doing so, they are focused on the relationship between two weights—two quantities—and whether or not they are equal.Goals and Learning ObjectivesExplore a balance scale as a model for an equation or an inequality.Introduce formal meanings of equality and inequality.

Material Type:
Lesson Plan
Author:
Chris Adcock
Date Added:
02/28/2022
Math, Grade 6, Equations and Inequalities, Inequality Statements Including Variables
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Lesson OverviewStudents represent real-world situations using inequality statements that include a variable.Key ConceptsInequality statements tell you whether values in a situation are greater than or less than a given number and also tell you whether values in the situation can be equal to that number or not.The symbols < and > tell you that the unknown value(s) in a situation cannot be equal to a given number: the unknown value(s) are strictly greater than or less than the number. The inequality x < y means x must be less than y. The inequality x > y means x must be greater than y.The symbols ≤  and ≥ tell you that the unknown value(s) in a situation can also be equal to a given number: the unknown value(s) are less than or equal to, or greater than or equal to, the number. The inequality x ≤ y means x is less than or equal to y. The inequality x ≥ y means x is greater than or equal to y.Goals and Learning ObjectivesUnderstand the inequality symbols <, >, ≤, and ≥.Write inequality statements for real-world situations.ELL: When writing the summary, provide ELLs access to a dictionary and give them time to discuss their summary with a partner before writing, to help them organize their thoughts. Allow ELLs who share the same primary language to discuss in their native language if they wish.

Material Type:
Lesson Plan
Author:
Chris Adcock
Date Added:
02/28/2022
Math, Grade 6, Equations and Inequalities, Representing An Inequality On A Number Line
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Lesson OverviewStudents represent inequalities on a number line, find at least one value that makes the inequality true, and write the inequality using words.SWD:When calling on students, be sure to call on ELLs and to encourage them to actively participate. Understand that their pace might be slower or they might be shy or more reluctant to volunteer due to their weaker command of the language.SWD:Thinking aloud is one strategy for making learning visible. When teachers think aloud, they are externalizing their internal thought processes. Doing so may provide students with insights into mathematical thinking and ways of tackling problems. It also helps to model accurate mathematical language.Key ConceptsInequalities, like equations, have solutions. An arrow on the number line—pointing to the right for greater values and to the left for lesser values—can be used to show that there are infinitely many solutions to an inequality.The solutions to x < a are represented on the number line by an arrow pointing to the left from an open circle at a.Example: x < 2The solutions to x > a are represented on the number line with an arrow pointing to the right from an open circle at a.Example: x > 2The solutions to x ≤ a are represented on the number line with an arrow pointing to the left from a closed circle at a.Example: x ≤ 2The solutions to x ≥ a are represented on the number line with an arrow pointing to the right from a closed circle at a.Example: x ≥ 2Goals and Learning ObjectivesRepresent an inequality on a number line and using words.Understand that inequalities have infinitely many solutions.

Material Type:
Lesson Plan
Author:
Chris Adcock
Date Added:
02/28/2022
Math, Grade 6, Rational Numbers
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Rational Numbers

Type of Unit: Concept

Prior Knowledge

Students should be able to:

Solve problems with positive rational numbers.
Plot positive rational numbers on a number line.
Understand the equal sign.
Use the greater than and less than symbols with positive numbers (not variables) and understand their relative positions on a number line.
Recognize the first quadrant of the coordinate plane.

Lesson Flow

The first part of this unit builds on the prerequisite skills needed to develop the concept of negative numbers, the opposites of numbers, and absolute value. The unit starts with a real-world application that uses negative numbers so that students understand the need for them. The unit then introduces the idea of the opposite of a number and its absolute value and compares the difference in the definitions. The number line and positions of numbers on the number line is at the heart of the unit, including comparing positions with less than or greater than symbols.

The second part of the unit deals with the coordinate plane and extends student knowledge to all four quadrants. Students graph geometric figures on the coordinate plane and do initial calculations of distances that are a straight line. Students conclude the unit by investigating the reflections of figures across the x- and y-axes on the coordinate plane.

Subject:
Mathematics
Provider:
Pearson
Math, Grade 6, Rational Numbers, Inequalities
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Students identify whether an inequality statement is true or false using a number line to support their reasoning.Key ConceptsThe meaning of mThe meaning of n > m is that n is located to the right of m on a number line. The inequality statement n > m is read “n is greater than m.”To decide on the order of two numbers m and n, locate the numbers on a number line. If m is to the left of n, then m < n. If m is to the right of n, then m > n.Goals and Learning ObjectivesState whether an inequality is true or false.Use a number line to prove that an inequality is true or false.

Material Type:
Lesson Plan
Author:
Chris Adcock
Date Added:
02/28/2022
MathWorld: Algebra
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MathWorld provides a basic overview of Algebra. Includes a few formulas and many links to related topics.

Subject:
Mathematics
Material Type:
Lesson
Provider:
Wolfram
Date Added:
12/01/2023