Nwakefield2: Created page with "=Lesson Plan 1.2: Algebraic Expressions and Formulas= ==Objectives:== Students should be able to identify variable and coefficient parts of terms. Students should be able..."

2020-05-26T23:26:17Z

Created page with "=Lesson Plan 1.2: Algebraic Expressions and Formulas= ==Objectives:== *Students should be able to identify variable and coefficient parts of terms. *Students should be able..."

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=Lesson Plan 1.2: Algebraic Expressions and Formulas=

==Objectives:==

*Students should be able to identify variable and coefficient parts of terms.
*Students should be able to combine like terms of an expression.
*Students should be able to evaluate algebraic expressions and formulas.
*Students should be able to solve basic problems using percents.
*Students should be able to apply the percent change formula to basic word problems.

==Suggested Lecture Breaks:==
*'''MWF''': You have two days. Get through at least problem 3 on the first day.
*'''MW/TR''': You have one day.

==Suggested Lecture Notes:==

====Expressions and Like Terms====
*Write the definition of an algebraic expression on the board.
**An ''algebraic expression'' is a combination of variables and numbers along with operation symbols.
*Remind students of the definition of a variable:
**A ''variable'' is a letter used to represent a number.
*Give students a few examples of algebraic expressions. Be sure to include at least two similar to those in Problem 1.
*Explain what it means to be a term in an expression and give the definition of a coefficient. Using these concepts, point out the variable and coefficient parts in the relevant examples you gave.
*Define like terms and what it means to combine like terms. Give 2-3 examples of this process, including one that requires the distributive property.
*Have students work on problems 1-3.

====Evaluating Algebraic Expressions and Formulas====
* Explain to the class what it means to define a variable and why this is necessary when writing algebraic expressions.
*Example:
**Ask the class to describe how they would calculate a 20% tip on a restaurant bill of $10, $50, etc. Then lead the class in writing an algebraic expression to represent calculating a 20% tip for any bill amount, ''B''. Illustrate how the expression can be used to calculate the 20% tip on a bill of any amount. Be sure to discuss defining variables.
*Now expand on the above example.
**If we wanted a formula to calculate the tip for various tip percentages, what would it be? (I.e., how could we model this situation mathematically?)
**Let the variable ''p'' represent the percentage (after converting to a decimal), ''b'' the bill amount, and ''t'' the tip amount. (Be sure to write out these sentences to be clear for your students). Then we get the formula ''pb=t''.
*Point out that ''pb=t'' is an example of a formula. Remind them of the definition of a formula from their reading.

====Percents====
*Give the definition of a percent:
**Suppose ''a'' represents a partial amount of the whole amount ''b''. Then we have ''partial amount a / whole amount b = decimal value''. The decimal value is then converted to a percent.
*Use the definition and the previous example to explain converting between a decimal and a percent. Be sure to emphasize WHY we do this -- using a percent as is in the previous example results in a nonsensical tip amount.
*Give a few examples using percents. This is a good opportunity to involve your students. Some suggestions are:
**What percent of the class is from Lincoln?
**What percent of the class that is from Nebraska is from Lincoln?
*Have students work on problems 5-10.
*Give a brief explanation of percent change, including the formula:
**percent change = (change in amount / original amount)*100
*Motivate with an example. It's easy to talk about percent increase/decrease using population examples.
*Have students work on problems 11-13.

==Comments on the handout:==

==Suggestions for changes to lesson plans:==

1.2 Algebraic Expressions and Formulas - Revision history

Nwakefield2: Created page with "=Lesson Plan 1.2: Algebraic Expressions and Formulas= ==Objectives:== *Students should be able to identify variable and coefficient parts of terms. *Students should be able..."

Nwakefield2: Created page with "=Lesson Plan 1.2: Algebraic Expressions and Formulas= ==Objectives:== Students should be able to identify variable and coefficient parts of terms. Students should be able..."