7th+Grade+Math+Day+10

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Equivalent Fractions 7th grade
 * Subject :Math **
 * Topic **
 * Grade Level **

Focus attention/motivation: 5 minutes  Instructional input and modeling: 20 minutes  Student engagement/practice: 15 minutes  Closure: 5 minutes
 * Time Frame **

The overall goal of this lesson is to learn
 * Overall Goal/ Purpose **

Solve one- and two-step problems involving whole numbers, fractions and decimals using addition, subtraction,  multiplication and division.
 * State Standards: **

The students will be able to write equivalent fractions. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">1. Smartboard <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 2. Sudoku game
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Instructional Objectives/Discoveries: **
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Materials **

**<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Focus Attention/Motivation: ** <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> To gain the students’ attention and interest in equivalent fractions, I will show two pictures of the same size pizza. One <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> pizza will be cut in half. The other pizza will be cut in half, but that half will also be cut in fourths. I will ask, “Can you see <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> how the two slices in the one pizza is the same amount as the other slice in the other pizza?” Today we are going to <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> DISCOVER how certain fractions are equivalent because they represent the same amount. They will also DISCOVER <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> how they need to know the GCF of numbers in order to put fractions in their simplest form.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Procedures **

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> Students will write in their algebra notebooks the following vocab: <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 1. Equivalent fractions <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 2. Simplest form of a fraction <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> I will have the following steps on the smart board, and the students will write these notes in their algebra notebook: <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> Finding equivalent fraction <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> For each fraction, write two equivalent fractions. __<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">2 __<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">__2__x__2__ __4__ Choose any whole number. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 3= 3 2 = 6 Multiply the numerator and the denominator by that number.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Instructional Input & Modeling: **

__<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">2 __<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">__2__x__5__ __10__ <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 3 3 5 15 <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> So 2/3 is equivalent to 4/6 and 10/15.

__<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">12 __<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Find a number that is a factor of the numerator and the denominator. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 16 Divide both by that number. __<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">12 __<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">divided by __4__ = __3__ <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 16 4 4

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> I will demonstrate a few more problems on the smart board. I will have different students come up to do each step.

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 1/10 <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 28/40

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> Then I will have the students write the following notes from the smart board in their notes as I go over them orally:

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> Simplest form of a fraction is the equivalent fraction in which the numerator and the denominator have no common factor <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> than 1. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> You can use the GCF of the numerator and the denominator to write a fraction in simplest form. __<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">25 __ <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 30 <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 25: 1, 5, 25 Find the GCF of 25 and 30. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 30: 1, 2, 3, 5, 6, 10, 15, 30 The GCF is 5. __<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">25 __<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Divide the numerator and denominator by 5. <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 30

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> The fraction <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> __25__ in simplest form is <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 30 <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> __5__ <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 6 <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> I will demonstrate a few more problems on the smart board. I will have different students come up to do each step.

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> 1. After the notes and teaching time, <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: 115%;">Then, we will play the Super Suduko game with equivalent fractions. The samples can be found on <span style="color: #0066cc; font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: 115%;">@http://www.schoolebookstore.com/index.php?main_page=product_info&cPath=6_988_811&products_id=13437 <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I will review the DISCOVERIES (equivalent fractions) of the day.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Student Engagement/Practice: **
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Closure **

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I will be using 3 different assessments in this lesson. I will use the predicting and asking the students the questions <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> about the slices of pizza as my pre-assessment in the beginning of the lesson to see where the students are at. I will use <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> observations and examples on the smart board to see where students are at during the lesson. My final assessment will <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;"> be when the students are playing the Super Sudoku games.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Assessment **

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">I will be available to help the students who are struggling.
 * <span style="font-family: 'Times New Roman','serif'; font-size: 12pt;">Accommodations **

<span style="font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: 115%;">The successful students will have the opportunity to create their own examples of how equivalent fractions can occur in <span style="font-family: 'Times New Roman','serif'; font-size: 12pt; line-height: 115%;"> daily life.