8th+Grade+Math+Day+7

[8th Grade] [8th Grade Assignment Sheets] Language Arts] Math] Science] Social Studies] Math Unit Plan] Day 1] 2] 3] 4] 5] 6] [7] 8] 9] 10]

 Math  1-7 Ordered Pairs  8
 * Subject **
 * Topic **
 * Grade Level **

Focus Attention/Motivation: 10 Minutes Instructional Input & Modeling: 15 Minutes Student Engagement/Practice: 15 Minutes Closure: 5 Minutes
 * Time Frame **

To write solutions of equations in two variables as ordered pairs.
 * Overall Goal/ Purpose **

IL.8 GOAL: Use algebraic and analytical methods to identify and describe patterns and relationships in data, solve problems and predict results. IL.8.D STANDARD: Use algebraic concepts and procedures to represent and solve problems. IL.8.D.3a > Solve problems using numeric, graphic or symbolic representations of variables, expressions, equations and inequalities.
 * State Standards **

 Students will write solutions of equations in two variables as ordered pairs.
 * Instructional Objectives **

· Graph paper · Elmo · <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 12pt;">Worksheets
 * <span style="color: #666666; font-family: 'Times New Roman','serif'; font-size: 12pt;">Materials **

**<span style="color: black; font-family: 'Times New Roman','serif'; font-size: 12pt;">Focus Attention/Motivation: ** · Show the students a simple two-variable equation, such as x + y = 10. Ask students to supply pairs of numbers whose sum is 10. Organize their answers in a table using one value of each pair for x and the other in the same pair for y. Explain to students that because there are two variables, each solution is a pair of numbers. Instructional Input & Modeling: ** · In this lesson, students learn to write solutions of equations in two variables as ordered pairs. To see if an ordered pair is a solution of a two variable equation, substitute the first number in the ordered pair for x and the second for y. If the result is a solution of the equation, substitute any number for x in the equation, and then solve for y. · Write the problem on the board: A moving van travels 50 miles per hour. Use the equation y = 50x. How far will the van travel in 4.5 hours? Talk the problem out and ask students what the next step would be. Solve the problem. (225 miles) · If students are still having problems, do more practice problems on the board. Student Engagement/Practice: ** · Worksheet 1-7
 * <span style="color: #666666; font-family: 'Times New Roman','serif'; font-size: 12pt;">Procedures **

· Discuss the similarities and differences between one-variable and two variable equations. Ask students to define an ordered pair. Make sure students understand that two variable equations have an infinite number of solutions. <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 12pt;"> Have students make a table of solutions for y = 2x using x =1, 2, 3, 4. When they have the solutions (1, 2), (2, 4), (3, 6), and (4, 8), have them describe any patterns they notice. Help students see that the y-value is always twice the x-value. Have them find y when x is 1000. Then find x when y is 1000.
 * Closure:**
 * <span style="color: #666666; font-family: 'Times New Roman','serif'; font-size: 12pt;">Assessment **
 * <span style="color: black; font-family: 'Times New Roman','serif'; font-size: 12pt;">Observations and Worksheet completion ||
 * <span style="color: #666666; font-family: 'Times New Roman','serif'; font-size: 12pt;">Accommodations **
 * <span style="color: #666666; font-family: 'Times New Roman','serif'; font-size: 12pt;">Accommodations **