Grade 6 Unit 4:
One Step Equations and Inequalities
One-Variable Equations & Inequalities
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.
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MGSE6.EE.6 Use variables to represent numbers and write expressions when solving a realworld 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.
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MGSE.6.EE.7 Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
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MGSE.6.EE.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
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1.
Equation & Inequality Symbols |
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2.
Solving Equations Using Substitution |
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3.
Solving Inequalities Using Substitution |
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4.
Writing Expressions That Represent Real-World Situations |
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5.
Solving Equations (Addition & Subtraction) |
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6.
Solving Equations (Multiplication & Division) |
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7.
Representing Inequalities on Numbe Lines |
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Relationships Between Dependent & Independent Variables
MGSE6.EE.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another.
a. Write an equation to express one quantity, the dependent variable, in terms of the other quantity, the independent variable.
b. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation 𝑑 = 65𝑡 to represent the relationship between distance and time.
Study Island: 4j. Quantitative Relationships
8.
Difference Between Dependent & Independent Variables |
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9.
Identifying Dependent & Independent Variables in Real-World Situations |
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10.
Writing & Graphing Equations with Dependent & Independent Variables (2 Parts) |
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11.
Writing an Equation from a Graph & Table |
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Review Using Ratio Reasoning to Solve Problems
***Please see Unit 2 resources to review the following Ratio & Rate standards in depth.
MGSE.6.RP.3 Use ratio and rate reasoning to solve real-world and mathematical problems utilizing strategies such as tables of equivalent ratios, tape diagrams (bar models), double number line diagrams, and/or equations.
MGSE.6.RP.3a Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. |
MGSE.6.RP.3b Solve unit rate problems including those involving unit pricing and constant speed.
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MGSE.6.RP.3c Find a percent of a quantity as a rate per 100 (e.g. 30% of a quantity means 30/100 times the quantity); given a percent, solve problems involving finding the whole given a part and the part given the whole.
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MGSE.6.RP.3d Given a conversion factor, use ratio reasoning to convert measurement units within one system of measurement and between two systems of measurements (customary and metric); manipulate and transform units appropriately when multiplying or dividing quantities. For example, given 1 in. = 2.54 cm, how many centimeters are in 6 inches?
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12.
Review: Finding a Percent of a Number |
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