Common Core Algebra I.Unit 2.Lesson 2.Seeing Structure to Solve ...
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In today's lesson, we will be solving linear equations where the variable only occurs once. We will solve these equations by seeing the structure of the expression involving x and using this structure to "undo" what has been done to it. Exercise #1: Consider the equation 5 x 3 23. This is the most basic of all equation solving techniques.
PDF Unit 2.Lesson 2.Seeing Structure to Solve Equations
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In today's lesson, we will be solving linear equations where the variable only occurs once. We will solve these equations by seeing the structure of the expression involving x and using this structure to "undo" what has been done to it. Exercise #1: Consider the equation 5 x 3 23 .
(a) Either x 6 or x 10 is a solution to our new equation : 2 x 2 7 9. Check to see which is a solution by substituting them into the left hand expression and seeing if it is equal to 9. (b) Explain in your own words why the correct answer was the one you found in (b). In other words, look at the structure of both equations .
Using Structure to Solve Equations
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Students highlight portions of linear equations and give a value for the highlighted expression that makes the equation true. What is the teacher doing? The focus is on thinking carefully about the structure of the equation and using that structure to create simpler sub equations that develop the logic for solving equations .
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Seeing Structure in Expressions
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A useful key is to understand one-dimensional growth (which will be associated with a linear expression), 2D growth (quadratic expression), 3D growth (cubic expression), and exponential. Examples to print. Worksheet to print. Seeing Dots (Illustrative Mathematics) - Two expressions are given. A dot pattern (similar to Spotting Numbers above) is ...
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