# ALEX Lesson Plan

## Factorials: Let's have a Dinner Party!

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This lesson provided by:
 Author: Lynda Wilder System: Blount County School: Hayden Middle School The event this resource created for: CCRS General Lesson Information
 Lesson Plan ID: 33157 Title: Factorials: Let's have a Dinner Party! Overview/Annotation: In collaborative groups of four, students will act out a dinner party where four dinner guests will attend. The students must act out the different ways to arrange four dinner guests. This is a College- and Career-Ready Standards showcase lesson plan.
Associated Standards and Objectives
Content Standard(s):
 Mathematics MA2015 (2016) Grade: 6 13 ) Write, read, and evaluate expressions in which letters stand for numbers. [6-EE2] a. Write expressions that record operations with numbers and with letters standing for numbers. [6-EE2a] Example: Express the calculation, "Subtract y from 5," as 5 - y. b. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. [6-EE2b] Example: Describe the expression 2(8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms. c. Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). [6-EE2c] Example: Use the formulas V = s3 and A = 6s2 to find the volume and surface area of a cube with sides of length s = 1/2. NAEP Framework NAEP Statement:: 4A3a: Use letters and symbols to represent an unknown quantity in a simple mathematical expression. NAEP Statement:: 4A3b: Express simple mathematical relationships using number sentences. Alabama Alternate Achievement Standards AAS Standard: M.AAS.6.13- Describe a given mathematical or real-world problem with an expression including one unknown. M.AAS.6.13a- Evaluate expressions at specific values of their variables (e.g., m + x = ?, where x = 3 and m = 2). M.AAS.6.13b- Identify parts of an expression using mathematical terms (e.g., sum, product, difference, quotient). Mathematics MA2015 (2016) Grade: 6 17 ) Use variables to represent numbers, and write expressions when solving a real-world 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. [6-EE6] NAEP Framework NAEP Statement:: 8A4a: Solve linear equations or inequalities (e.g., ax + b = c or ax + b = cx + d or ax + b > c). NAEP Statement:: 8A4b: Interpret "=" as an equivalence between two expressions and use this interpretation to solve problems. Alabama Alternate Achievement Standards AAS Standard: M.AAS.6.17- Match a phrase to the corresponding one- step one-variable expression (e.g., "a number plus 3" matches "x + 3").

Local/National Standards:

Mathematical Practice Standards:

3.  Construct viable arguments and critique the reasoning of others.

7.  Look for and make use of structure.

8.  Look for  and express regularity in repeated reasoning.

Primary Learning Objective(s):

Students will use a real-life problem to calculate permutations and/or factorials.