Nwakefield2: Created page with "=Lesson Plan 2.1: Linear Equations= ==Objectives:== Students should be able to differentiate between equations and expressions. Students should be able to recognize soluti..."

2020-05-26T23:27:21Z

Created page with "=Lesson Plan 2.1: Linear Equations= ==Objectives:== *Students should be able to differentiate between equations and expressions. *Students should be able to recognize soluti..."

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=Lesson Plan 2.1: Linear Equations=

==Objectives:==
*Students should be able to differentiate between equations and expressions.
*Students should be able to recognize solutions to linear equations.
*Students should be able to solve for a variable in a linear equation.
*Students should be able to characterize the solutions to a linear equation.

==Suggested Lecture Breaks:==
*'''MWF''': You have two days. Get through Problem 4 on the first day.
*'''MW''': You have one day.
*'''TR''': You have 1.5 days. Start Problem 5 on the first day and finish it and the packet on the second.

==Suggested Lecture Notes:==

*Have students work problems 1 and 2 as a warmup.

===Equations===
----
*Write the definition of an equation on the board (also from the reading):
**An equation is a statement that two algebraic expressions are equal.
*Ask the class which letters in Problem 1 are equations, and which are expressions. Ask them how they know. Point out that an equation always contains an equality symbol, while an expression does not.
*Write the definition of a linear equation. The following definition is different from the reading, but should be helpful to them.
**An equation in one variable is '''linear''' if it can be rewritten, ''without multiplying or dividing by x'', to match the form Ax+B=C, where A, B, C are real numbers and A is not 0.
*Have them work in their groups on problem 3.

===Solving For One Variable===
*Pull in the example from the 1.2 lesson: calculating a tip.
**Recall that last class, we found that an equation representing the tip for a given bill amount, ''pb=t''.
**What if we we have a bill of $44 and a resulting tip of $8? What was the percentage tipped?
**Going back to the general formula ''pb=t'', point out how we solve for ''p'' (Solving for one variable amongst others).
*Have students work on problem 4 in their groups.

===Finding and Classifying Solutions to Linear Equations===

* Write the definition of equivalent equations on the board:
**''Equivalent equations'' are related equations that have the same solutions.
* Provide an example of equivalent equations, such as:
**2x+5 = 9 and 3x+4=10. Simultaneously, show how to solve each equation in the set.
*Follow through into more complicated examples of solving equations. Do at least three examples, one each with one solution, infinitely many solutions, or no solutions.
*Use examples to discuss how to know whether an equation has one solution, infinitely many solutions, or none.
**Good examples from the packet: Problem 5 (d) and (g)
*Have students work on the remainder of the worksheet.

==Comments on the worksheet:==

==Suggestions:==

2.1 Linear Equations - Revision history

Nwakefield2: Created page with "=Lesson Plan 2.1: Linear Equations= ==Objectives:== *Students should be able to differentiate between equations and expressions. *Students should be able to recognize soluti..."

Nwakefield2: Created page with "=Lesson Plan 2.1: Linear Equations= ==Objectives:== Students should be able to differentiate between equations and expressions. Students should be able to recognize soluti..."