GRADE 7 EXPRESSIONS AND EQUATIONS.

OBJECTIVES AND DEPTH OF THE LESSON. By the end of this lesson students should know, UAdditionMultiplication property of equality U se the Addition and Multiplication property of equality to transform equations. Slinear equations Solve problems involving linear equations in one variable. D accuracy D etermine the accuracy of solutions. A + B = B + C A. B = B. A

LINEAR EQUATIONS WITH ONE VARIABLE PRIOR KNOWLEDGE for one variable LINEAR equation lesson 1.What is a equation?. ax + b = 0 Two expressions set equal to each other

VARIABLE WHAT IS A VARIABLE X,Y,5X,4Y,8A

SOLVE LINEAR EQUATIONS WITH ONE VARIABLE Linear Equation Ex: X + 5 = 10 Step 1: X + 5 = 10 STEP 1 :- Identify the variable in the equation. Variable CCSS.MATH.CONTENT.8.E.E.7.A

X + 5 = 10 Constant IDENTIFY THE CONSTANT STEP 2 CONSTANT = 5,10

BALANCE THE EQUATION X + Not balanced X + 5 = 10 Step 3 10 X

USE ADDITION BALANCE THE PROPERTY EQUATION A + B = B + A X + 5 = X = 5 ISOLATE THE VARIABLE X Ex : X + 5 =

SOLVE FOR X X = 5

SOLVING MORE LINEAR EQUATIONS X + 2 = X = 1

REVIEW ONE VARIABLE EQUATIONS An equation will always contain an equal sign with an expression on each side. Ex: X + 4 = 6 1.A Equation has to be balanced. X + 4 = 6 X + 4 =

SOLVE FOR X X = 2

LINEAR EQUATION ONE VARIABLE ADDITION AND MULTIPLICATION PROPERTY 2X +8 = 18

USE ADDITION PROPERTY 2X + 8 = X = 10 STEP 1 2X = 10

USE THE MULTIPLICATION PROPRETY STEP 2: DIVIDE BOTH SIDES BY 2 TO GET X 2X = 10 2 X = 5

ONE VARIABLE LINEAR EQUATION WITH NO SOLUTION X + 10 = x + 18 STEP 1 ISOLATE THE VARIABLES (X) X + 10 = X + 18 X -X 10 = = 18 NO SOLUTION

ONE VARIABLE WITH MANY SOLUTIONS 7X +2 = 2X X 7X + 2 = 2X + 5X STEP 1: IDENTIFY THE CONSTANT. 7X + 2 = 2X +2 +5X STEP 2: USE THE ADDITION PROPERTY TO GET RID OF THE CONSTANT 2 7X = 2X +5X

COMBINE LIKE TERMS EX: VARIABLES ARE APPLES X CONSTANTS AS HORSES 2,10,5

COMBINE LIKE TERMS IN THE PROBLEM 7X = 2X + 5X VARIABLE = APPLES X 7X = 7X 2X 5X + 7X 7X =

USE THE MULTIPLICATION PROPERTY 7X = 7X 7 7 X = X INFINITELY MORE SOLUTIONS

STUDENTS WILL KNOW ONE VARIABLE LINEAR EQUATION WITH ONE SOLUTION,NO SOLUTION AND MORE SOLUTIONS.

DISTRIBUTIVE PROPERTY IN ONE VARIALBE LINEAR EQUATIONS WITH RATIONAL NUMBERS. CCSS.Math.Content.7EE.7B PRIOR KNOWLEDGE RATIONAL NUMBERS (3/4,5/7,9/18) DISTRIBUTIVE PROPERTY A(B + C) = AC + AC

DRISTIBUTIVE PROPERTY A (B + C) = AB + AC 2(X+5)=20

DISTRIBUTING 2 INTO THE PARENTHESES 2 (X + 5) = 20 2X + 10 = 20

USE THE ADDITION PROPERTY 2X + 10 = X = 10 2X 10

USE THE MULTIPLICATION PROPERTY 2X = X = 5 X 5

SOLVE ONE VARIABLE RATIONAL NUMBERS EQUATIONS-DISRTIBUTIVE PROPERTY 1 (2X + 3) = 8 2 STEP 1

STEP 2:

STEP 3:USE THE ADDITION PROPERTY X + 2 = = 3 X = 22/3

APPLICATIONS OF EQUATIONS IN REAL LIFE Force, speed and distance a foot ball travels.

BUILDING SHELVES LINEAR EQUATIONS APPLICATION

BUILDING A FOOTBALL STADIUM Linear Equations- dimensions of the stadium. Linear Equations –how many people sit.