Vocabulary

=Language to be Used & Vocabulary=
 * The Addition Property of Equality if a = b ; then a + c = b + c
 * The Multiplication Property of Equality if a = b, then ac = bc
 * Identity Properties of Addition and Multiplication a + 0 = a; a * 1 = a

Words: equation, inverse operations, like terms, simplify, coefficient, constant

- Students use vocabulary and academic language as they interact with teacher and one another. - Students create one-variable equations from words like "sum", "increase", "decrease", "more", and "less than".

Example: Ask students to write an equation for "A number added to six times the number is the opposite of forty-two." = = Essential Questions:

1. What is a variable? How is it related to an equation? 2. If a number is added to one side of an equation, what must be done on the other side?

=Activities:= Teacher guides students to understand that an equation can be always true. (3 + 1 ) = 4, or always false; (4 - 3 ) = 9, or open (x + 3 = 7). The equation x + 5 = 8 is an open sentence. When x has the value of 3, then the equation is true. When x has a value of 1, the equation is false. You solve the equation when you find the value or x that makes the equation true. The value is called the solution. Students are first given a warm-up and placed into groups to assertain solutions to the following problems: A. Is 30 a solution of the equation 170 + x = 200? B. A diver's equipment weighs 35lb. The diver plus the equipment weighs 165 lb. Can the diver's weight be 200 lb?

Teacher circulates the groups to check for understanding and to correct any mis-understanding in their problem-solving. Students then share out their group finding, methods, solutions to class.