Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Factorization wikipedia , lookup
Quartic function wikipedia , lookup
Cubic function wikipedia , lookup
Quadratic equation wikipedia , lookup
Linear algebra wikipedia , lookup
Elementary algebra wikipedia , lookup
Signal-flow graph wikipedia , lookup
System of polynomial equations wikipedia , lookup
8.EE.7 2012 Domain: Expressions and Equations Cluster: Analyze and solve linear equations and pairs of simultaneous linear equations. Standards: 8.EE.7.a: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x=a, a=a, or a=b results. ( a and b are different numbers). Essential Questions Why do you write equations? Enduring Understandings An equation can be written to represent a given situation. How can you solve a multistep equation? Inverse operations are used to solve equations. Content Statements Solve one- step equations with rational numbers. Solve two-step linear equations with rational numbers coefficients. Write and solve two- step linear equations with rational number coefficients. Activities, Investigation, and Student Experiences Use algebra tiles or other manipulatives (Hershey Kisses, Gummy Bears, apples, oranges, etc) to model algebraic expressions and assist with solving equations. Use a flowchart and show how to find the starting number, you have to work backwards. Same as directions. Ex: start with a number Add 3.4 The result is -2.9 5x + 3x -8 = 24 (one solution) 5(x+3) -4 = 2(x+2) + 3x -6 (no solution) Have students discover and understand that there is no value for z that will satisfy the equation. Start simple: 4x + 4x = 8x 8x = 8x x=x Assessments 8.EE.7 Tamara can mow acre in one hour. If her yard is 2 acres, how many hours will it take her to mow the entire yard? (5) 2012 Provide students with equations similar to the above examples. Also provide students with a die or spinner that correlate to each equation. Allow students to draw their own conclusions about the solutions. The cost for a new cell phone plan is $39 per month plus a one-time start up fee of $78. If you are charged $1014, how many months will the contract last? (24) Equipment Needed: Teacher Resources Equations http://www.corwin.com/upmdata/18260_Gregory_ActDiffClssrm_MSMath_Pages_30_31.pd f Dice/spinner http://www.thefutureschannel.com/algebra/expressions_equatio ns.php 8.EE.7 2012 Domain: Expressions and Equations Cluster: Analyze and solve linear equations and pairs of simultaneous linear equations. Standards: 8.EE.7.b: Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. Essential Questions Why do you write equations? Enduring Understandings An equation can be written to represent a given situation. How can you solve a multistep equation? Inverse operations are used to solve equations. Content Statements Solve one-step equations with rational numbers. Solve two-step linear equations with rational numbers coefficients. Write and solve two- step linear equations with rational number coefficients. Assessments Tamara can mow acre in one hour. If her yard is 2 acres, how many hours will it take her to mow the entire yard? (5) Activities, Investigation, and Student Experiences Using balance and iconic forms of algebra tiles, demonstrate how to solve equations using given parameters. Model how to use tiles and then have pairs of students each create example and share with other students to solve. Use 2 columns to justify each step of equation. Solve using appropriate property of equality. 8.EE.7 2012 The cost for a new cell phone plan is $39 per month plus a one-time start up fee of $78. If you are charged $1014, how many months will the contract last? (24) Equipment Needed: Teacher Resources Algebra Tiles http://www.corwin.com/upmdata/18260_Gregory_ActDiffClssrm_MSMath_Pages_30_31.pd f Balance http://www.thefutureschannel.com/algebra/expressions_equatio ns.php http://www.coolmath.com/prealgebra/06-properties/05properties-distributive-01.htm