Math 1 Unit 4 Lesson 6 Taking Sides Summary Video Youtube
Understand similarities and differences in solving equations and inequalities. Learn to avoid common errors and misunderstandings about inequalities. What are some of the common misconceptions of inequalities? How does having a deep understanding of what inequalities mean help to avoid errors? Joaquin and Serena work together productively in their math class. They both contribute their thinking and when they disagree, they both give their reasons and decide together who is right.
In their math class right now, they are working on inequalities. Recently, they had a discussion that went something like this: In this unit, students learn about functions, building on their work in middle school. A function is a relationship between an input and an output, where for every input there is exactly one output. Here are some examples of functions: We often use the phrase “(output) is a function of (input)” to express how the input and output sets are related.
For example, “the number of letters in a name is a function of the name,” or “the temperature in the oven is a function of time since it was turned on.” To make it easier to talk about and work with functions, we often use letters to name them, and we use function notation to represent their input and output. Suppose \(f\) is a function that tells us the distance, in feet, that a child ran over time, \(t\), in seconds. So: \(f\) is the name of the function, time is the input, and distance is the output. Here is how we represent this information in function notation: Solve multi-step linear equations using inverse operations.
In this lesson, we learned how to solve multi-step equations in the context of using operations to represent actions in a story. As we observed how to “un-do” the actions of the story, we developed a strategy for solving the equation by using inverse operations. The order in which inverse operations are applied when solving an equation matters, and we learned how to pay attention to the structure of the equation for clues to the order in which we... Use units to interpret and solve equations that contain primarily variables that represent quantities, such as a formula. In this lesson, we learned how to solve literal equations for one of its variables using inverse operations with both variables and numbers. Literal equations are formulas for describing the relationships between multiple quantities.
Interpreting the meaning of expressions involving quantities in terms of their units can be a tool for checking our algebraic work while solving equations. Compare strategies for solving linear equations and literal equations.
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Understand Similarities And Differences In Solving Equations And Inequalities. Learn
Understand similarities and differences in solving equations and inequalities. Learn to avoid common errors and misunderstandings about inequalities. What are some of the common misconceptions of inequalities? How does having a deep understanding of what inequalities mean help to avoid errors? Joaquin and Serena work together productively in their math class. They both contribute their thinking an...
In Their Math Class Right Now, They Are Working On
In their math class right now, they are working on inequalities. Recently, they had a discussion that went something like this: In this unit, students learn about functions, building on their work in middle school. A function is a relationship between an input and an output, where for every input there is exactly one output. Here are some examples of functions: We often use the phrase “(output) is...
For Example, “the Number Of Letters In A Name Is
For example, “the number of letters in a name is a function of the name,” or “the temperature in the oven is a function of time since it was turned on.” To make it easier to talk about and work with functions, we often use letters to name them, and we use function notation to represent their input and output. Suppose \(f\) is a function that tells us the distance, in feet, that a child ran over ti...
In This Lesson, We Learned How To Solve Multi-step Equations
In this lesson, we learned how to solve multi-step equations in the context of using operations to represent actions in a story. As we observed how to “un-do” the actions of the story, we developed a strategy for solving the equation by using inverse operations. The order in which inverse operations are applied when solving an equation matters, and we learned how to pay attention to the structure ...
Interpreting The Meaning Of Expressions Involving Quantities In Terms Of
Interpreting the meaning of expressions involving quantities in terms of their units can be a tool for checking our algebraic work while solving equations. Compare strategies for solving linear equations and literal equations.