1 Teaching objective(s)
The student will solve linear inequalities in one variable .
2 Instructional Activities
1. Give students graphs of equations and inequalities along with
the equations and inequalities and have them point out similarities
and differences.
2. Based on the differences and similarities pointed out,
generate the definition
of a linear inequality in one variable : a statement containing an inequality
sign whose answer shows direction and boundary.
2. Using the steps for solving a linear equation ,
demonstrate solving the
fol lowing inequalities .
Solve and graph the following.
n +7 <12
a – 16 ≥ 23
3(a +6) > 4 (a +6)
4x + 2 ≤ -8x + 10
j - 12 < 3j + 9
3. Allow students to work together to solve and graph the
following.
3x + 30 > 5( x + 4)
-5x ≥ 60
2a – 13.5 < -17
8a + 5 ≥ 9a + 23
Activity 1: “Guess My Number ”
The following is an adaptation of a game featured in
Mathematics Teaching
In The Middle School.
Students will be given riddles to solve. Each riddle will
have three to four
clues. Students are to solve the inequalities, answer the riddle and present an
an answer.
Riddle #1:
X is an integer.
3x + 2 > 6
and
-x + 3 > 0
Riddle #2
X is an integer.
2x + 5 < x
and
-3x > 21
Riddle # 3
X is an integer.
14(x + 3) < 10(x + 1)
and
3(x + 1) > -27
Riddle #4
X is rational number .
6x ≤ 3
and
8x ≥ 4
Riddle # 5
X is an integer.
X is between 5 and 10
The product of 5 and my integer is not divisible by 10.
and
The product of 5 and my integer has less than five factors .
3 Materials and Resources
Chalkboard/Overhead
Riddles
Mathematics Teaching in the Middle School, Margaret W. Tent, Volume 5, No.5,
January 2000, pages 292-295.
4 Assessment
Teacher observation
Oral Responses
Homework: Solve and Graph.
2n +7 > 18
-n + 30 < 8n + -6
3(2c + 8) ≥ 10c – 12
7p < 63
13a + 7 > 33
Work Sampling (Quiz): Solve and Graph.
1. j + 4 < -20
2. 3p + 18 > 10
3. -5z + 4 ≤ 12 - 4z
4. 2( a + 1) < 16
5. 7v - 21 ≤ -5v + 3
