# Lesson 34 writing and graphing inequalities in real-world math

Authored by Rosalind Mathews. Foreign Language Grade 3 - Grade 5 Description: By ordering or viewing, you agree to our Terms.

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An Introduction to the Course Professor Sellers introduces the general topics and themes for the course, describing his approach and recommending a strategy for making the best use of the lessons and supplementary workbook.

Warm up with some simple problems that demonstrate signed numbers and operations. Order of Operations The order in which you do simple operations of arithmetic can make a big difference.

Learn how to solve problems that combine adding, subtracting, multiplying, and dividing, as well as raising numbers to various powers. These same concepts also apply when you need to simplify algebraic expressions, making it critical to master them now.

## Math = Love: Teaching the Distributive Property

Percents, Decimals, and Fractions Continue your study of math fundamentals by exploring various procedures for converting between percents, decimals, and fractions.

Professor Sellers notes that it helps to see these procedures as ways of presenting the same information in different forms. Variables and Algebraic Expressions Advance to the next level of problem solving by using variables as the building blocks to create algebraic expressions, which are combinations of mathematical symbols that might include numbers, variables, and operation symbols.

Also learn some tricks for translating the language of problems phrases in English into the language of math algebraic expressions. Operations and Expressions Discover that by following basic rules on how to treat coefficients and exponents, you can reduce very complicated algebraic expressions to much simpler ones.

You start by using the commutative property of multiplication to rearrange the terms of an expression, making combining them relatively easy. Principles of Graphing in 2 Dimensions Using graph paper and pencil, begin your exploration of the coordinate plane, also known as the Cartesian plane.

Learn how to plot points in the four quadrants of the plane, how to choose a scale for labeling the x and y axes, and how to graph a linear equation.

Solving Linear Equations, Part 1 In this lesson, work through simple one- and two-step linear equations, learning how to isolate the variable by different operations.

Professor Sellers also presents a word problem involving a two-step equation and gives tips for how to solve it. Solving Linear Equations, Part 2 Investigating more complicated examples of linear equations, learn that linear equations fall into three categories.

First, the equation might have exactly one solution. Second, it might have no solutions at all. Third, it might be an identity, which means every number is a solution.

Slope of a Line Explore the concept of slope, which for a given straight line is its rate of change, defined as the rise over run.

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Learn the formula for calculating slope with coordinates only, and what it means to have a positive, negative, and undefined slope. Experiment with examples in which you calculate the equation from a graph and from a table of pairs of points. Graphing Linear Equations, Part 2 A more versatile approach to writing the equation of a line is the point-slope form, in which only two points are required, and neither needs to intercept the y axis. Work through several examples and become comfortable determining the equation using the line and the line using the equation. Parallel and Perpendicular Lines Apply what you've discovered about equations of lines to two very special types of lines:Math Middle School Resources.

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(Authored by Rosalind Mathews.) Subject(s): Foreign Language (Grade 3 - Grade 5) Description: Students complete a chart by using Spanish to obtain weather information on cities around the world and report .

Study Island is a leading academic software provider of standards-based assessment, instruction, and test preparation e-learning programs. Writing and Graphing Inequalities in Real-World Problems Students recognize that inequalities can have infinitely many solutions.