6 th grade math: chapter 2 learning goal
DESCRIPTION
6 th Grade Math: Chapter 2 LEARNING GOAL Students will understand variables, expressions, and equations by being able to do the following: Identify and Evaluate Expressions (2-1) Translate between Words and Math (2-2) Determine Whether a Number is a Solution of an Equation (2-3) - PowerPoint PPT PresentationTRANSCRIPT
6th Grade Math: Chapter 2 LEARNING GOALStudents will understand variables, expressions, and equations by being able to do the following:
•Identify and Evaluate Expressions (2-1)
•Translate between Words and Math (2-2)
•Determine Whether a Number is a Solution of an Equation (2-3)
•Solve Whole-Number Addition Equations (2-4)
•Solve Whole-Number Subtraction Equations (2-5)
•Solve Whole-Number Multiplication Equations (2-6)
•Solve Whole-Number Division Equations (2-7)
Course 1
2-3 Equations and Their Solutions
HW: Pg. 54 #8-23 ANSWERS
Course 1
2-3 Equations and Their Solutions
6th Grade Math HW
Page 60 #8-20 all
Course 1
2-3 Equations and Their Solutions
Course 1
2-3 Equations and Their Solutions
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Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
29
169
16
Warm UpEvaluate each expression for x = 8.
1. 3x + 52. x + 83. 2x – 74. 8x 45. 7x – 16. x – 3
Course 1
2-3 Equations and Their Solutions
55
5
Problem of the Day
Complete the magic square so that every row, column, and diagonal add up to the same total.
Solving Subtraction Equations
10
7
4
9 2
8 6
12 5
Course 1
2-3 Equations and Their Solutions
Today’s Learning Goal
Learn to determine whether a number is a solution of an equation.
Course 1
2-3 Equations and Their Solutions
equationsolution
Course 1
2-3 Equations and Their Solutions
Vocabulary
An equation is a mathematical statement that two quantities are equal. You can think of a correct equation as a balanced scale.
Course 1
2-3 Equations and Their Solutions
3 + 2 5
Equations may contain variables. If a value for a variable makes an equation true, that value is a solution of the equation.
Course 1
2-3 Equations and Their Solutions
12 + 15 27
s + 15 = 27
s = 12 s = 1010 + 15
27
s = 12 is a solution because 12 + 15 = 27.
s = 10 is not a solution because 10 + 15 27.
Determine whether the given value of the variable is a solution.
Additional Example 1A: Determining Solutions of Equations
b — 447 = 1,203 for b = 1,650
Because 1,203 = 1,203, 1,650 is a solution tob — 447 = 1,203.
Course 1
2-3 Equations and Their Solutions
b — 447 = 1,203
Substitute 1,650 for b.
1,203 = 1,203?
1,650 — 447 = 1,203 ?
1,203 1,203
Subtract.
Determine whether the given value of the variable is a solution.
Additional Example 1B: Determining Solutions of Equations
27x = 1,485 for x = 54
Because 1,458 1,485, 54 is not a solution to27x = 1,485.
Course 1
2-3 Equations and Their Solutions
27x = 1,485
Substitute 54 for x.
1,458 = 1,485?
27 54 = 1,485?
1,4581,485
Multiply.
Determine whether the given value of the variable is a solution.
u + 56 = 139 for u = 73
Because 129 139, 73 is not a solution tou + 56 = 139.
Course 1
2-3 Equations and Their Solutions
u + 56 = 139
Substitute 73 for u.
129 = 139?
73 + 56 = 139?
Try This: Example 1A
129139
Add.
Determine whether the given value of the variable is a solution.
45 g = 3 for g = 15
Because 3 = 3,15 is a solution to45 g = 3.
Course 1
2-3 Equations and Their Solutions
45 g = 3
Substitute 15 for g.
3 = 3?
45 15 = 3?
Try This: Example 1B
3 3
Divide.
Paulo says that his yard is 19 yards long. Jamie says that Paulo’s yard is 664 inches long. Determine if these two measurements are equal.
Additional Example 2
Because 684 664, 19 yards are not equal to 664 inches.
Course 1
2-3 Equations and Their Solutions
Substitute 19 for y
684 = 664?
Multiply.
36 yd = in.
36 19 = 664 ?36 y = 664
Anna says that the table is 7 feet long. John says that the table is 84 inches long. Determine if these two measurements are equal.
Because 84 = 84, 7 feet is equal to 84 inches.
Course 1
2-3 Equations and Their Solutions
12f = 84
Substitute 7 for f.
84 = 84 ?
12 7 = 84?
Try This: Example 2
12 ft. = in.
Multiply.
Determine whether the given value of the variable is a solution.
1. 85 = 13x for x = 5
2. w + 38 = 210 for w = 172
3. 8y = 88 for y = 11
4. 16 = w 6 for w = 98
Lesson Quiz
no
yes
yes
no
no
5. The local pizza shop charged Kylee $172 for 21 medium pizzas. The price of a medium pizza is $8. Determine if Kylee paid the correct amount of money. (Hint: $8 • pizzas = total cost.)
Course 1
2-3 Equations and Their Solutions