Transcript Introduce Inequalities PowerPoint

Lesson Overview (1 of 3)
Lesson Objective
Interpret statements of inequality as statements about the
relative position of two numbers on a number line diagram.
Write, interpret, and explain statements of order for rational
numbers in real-world contexts. OBJECTIVE: SWBAT interpret
inequalities as statements about the relative position of two
numbers on a number line
Lesson Description
This lesson introduces students to inequalities. It begins with
discussing what the symbols mean ( < & > ) and how to orient
the symbols in relation to 2 quantities. It has students
recognize that inequality statements can be read either right
to left or in reverse. Lastly, it has students write inequality
statements using words. The SEE IT, SAY IT, WRITE IT flow is
meant to cement understanding in a concept which often
presents difficultly due new terminology and symbology.
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Lesson Overview (3 of 3)
Common Core
State Standard
6.NS.7. Understand ordering and absolute value of rational numbers.*
Interpret statements of inequality as statements about the relative position of
two numbers on a number line diagram. For example, interpret –3 > –7 as a
statement that –3 is located to the right of –7 on a number line oriented from
left to right.
Write, interpret, and explain statements of order for rational numbers in realworld contexts. For example, write –3 oC > –7 oC to express the fact that –3 oC is
warmer than –7 oC.
Before and After
Students are expected to have been introduced to the number line and
understand the general properties and locations of rational numbers
on the line. This lesson only hits on the first half of standard 6.NS.7.
The half dealing with absolute values is the subsequent lesson.
Topic Background Although students are very familiar with “equals,” it is important to
mention that many things in the world are not equal to one another. In fact,
the “real world” is a lot about the relative sizes of numbers. Tell the kids
that today’s lesson is about number differences…just as important as
similarities.
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Warm Up
OBJECTIVE: SWBAT interpret inequalities as statements about the
relative position of two numbers on a number line
-5 -4 -3 -2 -1
0
1
2
3
4 5
Notice that 2 quantities are represented on the number line.
1)How could you describe the green dot’s quantity in relation to the red
dot’s quantity?
2)How could you describe the red dot’s quantity in relation to the green
dot’s quantity?
Agenda
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Agenda:
OBJECTIVE: SWBAT interpret inequalities as statements about the
relative position of two numbers on a number line
1) Warm Up
Comparing quantities (Independent)
2) Launch (1 – 3) Intro to inequalities (Teacher directed)
3) Explore 1
See It!
(Group)
Explore 2
Say It!
(Partner)
Explore 3
Write It!
(Partner check)
4) Summary
Explain the symbol
(Independent)
5) Assessment
Key to leave
(Independent)
6) HW Practice
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Lesson Vocabulary
Language Objective: SWBAT will use the terms Inequality and
Inequality Symbol when comparing quantities of different value.
Word
Definition
Inequality
Quantities that are
not equal in value
Inequality Symbol
A symbol that tells us
that quantities are
not equal
Symbol/Example
25
>, < , > , <
* The line below the inequality symbols means “or equal to” and will not be focused on in this lesson.
Agenda
5
Launch 1 – Symbol of Equality
When quantities have the same value, we use the equal sign symbol.
3 is equal to 3
Please tell me something I didn’t
already know!
Agenda
6
Launch 2 – Symbols of Inequality
2 does not equal 5
When quantities do not have the same value, besides the symbol above,
we can also use the
Inequality Symbols below.
> and <
Agenda
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Launch 3
Alligators are always hungry !
Alligators will always eat the larger quantity! So…they open their
mouths wide towards the number that is of higher value.
2
5
Agenda
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Explore 1 – Seeing which is greater or less
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
See It !
10
0
105
-8
-7
-2
-1
-2.6
3
4
0.1
or
>
<
>
<
>
<
<
>
>
>
6
8
100
-3
-9
2
0
-2.8
2
5
0.01
0
6
0
0
-8
8
100
105
-3 0
On a number line, the
quantity the alligator
eats is always to the
Right of the other
________
quantity. Why?
Challenge
!
Agenda
9
10
Explore 2
All inequality
Say It ! statements can be read either from left to right or right to left.
-2 < 3
Left to Right: -2 is less than 3
Right to Left: 3 is greater than -2
11) Are both statements correct? Explain.
Shoulder partners on left: Read #11 & #12 to partners on right Read each in 2 ways.
Shoulder partners on right: Read #13 & #14 to partners on left. Read each in 2 ways.
Each partner should read 4 times.
12) Left:
13) Left:
14) Right:
15) Right:
8 < 20
-4 > -7
6 < 11
-1 > -3
(read in 2 ways)
(read in 2 ways)
(read in 2 ways)
(read in 2 ways)
Agenda
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Explore 3
Write the
It ! given numbers using inequality statements. This time, you have to
Compare
write it out in words.
Ex. 6 & 4
Six is greater than four.
Four is less than six.
15) -7 & -2
16) ¼ & ½
17) -6.1 & -6.0
Agenda
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Summary
<
Jenn: “Does the symbol above mean less than or greater than?”
Malik: “Actually, it could mean both!”
In at least 2 complete sentences, explain what Malik means.
Agenda
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Assessment
Name:__________
Key to Leave
Fill in the boxes with an appropriate inequality symbol. Then, write each inequality statement in 2
different ways. Hand your “key” to your teacher to “unlock” your exit.
1) -3
2)
1
8
-1
5
9
_____________________________
_____________________________
_____________________________
_____________________________
Agenda
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