Download Lesson 6-10a

6-10
6th grade math
Using Integers
Objective
• To write and solve equations involving integers.
• Why? Writing equations and solving equations
is continuing to add to the layer in the
foundation of mathematics. You still must
comprehend what the problem is asking you to
do or solve.
California State Standards
NS 2.3 : Solve addition, subtraction, multiplication,
division problems, including those arising in
concrete situations, that use positive and negative
integers and combinations of these operations.
AF 1.1 : Write and solve one-step linear equations in
one variable
MR 2.5: Express the solution clearly and logically by
using the appropriate mathematical notation and
terms and clear language; support solutions with
evidence in both verbal and symbolic work.
MR 3.0: Move beyond a particular problem by
generalizing to other situations.
How to Write an Equation Using Integers
1) Read the word problem.
2) Pick a strategy to solve the word problem- often
used is to make a sketch.
3) Circle the question being asked.
4) Underline the relevant information.
5) Cross out or ignore unimportant information.
6) Identify the zero point and any negative numbers.
2) Solve or evaluate the equation. Follow all rules of
Number Sense.
3) Simplify, if possible
Problem Solving Process
• Understand
– Understand math
vocabulary used
– Sketch pictures and
diagrams
– Look for the main idea
in the problem
– Decide what the
question is
– Choose the needed
information
• Plan
– What do I need to get to
the answer?
– Which values are
positive and which are
negative?
– How can the
information be
described in a
mathematical sentence?
» Continue to next slide
Problem Solving Process
• Solve:
– Which operations will I
use?
– What other approaches
can I use?
(continued)
• Look Back:
– Is my answer reasonable?
– How can I check my
answer?
How to Write an Equation Using Integers
• In the 1st quarter of the
football game, the
Redhawks gained 7 yds on
the first play and then lost
10 yds. On the third play
they gained 8 yds. How
many yards had the
Redhawks gained or lost by
the end of the three plays?
In the 1st quarter of the
football game, the
Redhawks
gained 7 yds on the first play
and then lost 10 yds. On the
third play they gained 8 yds.
How many yards had the
Redhawks gained or lost
by the end of the three
plays?
Solve It!
? = What is the total
yardage in 3 plays?
y = +7 + -10 + +8
y = +7 + +8 + -10
Lost = Gained = +
y = +15 + - 10
+7, -10, +8
y = +5 yd.
The team gained only 5 yd.
Try It!
1) The Bulldogs lost 12 yd
on the first play,
gained 5 yd on the
second play, and lost 3
yd on the third play.
How many yd had the
Bulldogs gained or lost
by the end of the 3
plays?
The Bulldogs
lost 12 yd on the first play,
gained 5 yd on the second
play,
and
lost 3 yd on the third play.
How many yd had the
Bulldogs gained or lost by
the end of the 3 plays?
Try Another One!
2) The difference between
the highest and lowest
temperature in North
Dakota is 181˚F. If the
highest temperature is
121 ˚F, what is the lowest
temperature?
The difference between the
highest and lowest
temperature
in North Dakota
is 181˚F.
If the highest temperature is
121 ˚F,
what is the lowest
temperature?
181 = 121 – t
121 – t = 181
121 – 121 – t = 181 – 121
-t = 60
t = -60 ˚F
Objective Review
• To write and solve
equations involving
integers.
• Why? You can now write
equations and solve
equations to continue to add
to the layer in the
foundation of mathematics.
You still must comprehend
what the problem is asking
you to do or solve
Independent Practice
• Complete problems 3-7
• Copy original problem
first.
• Show all work!
• If time, complete Mixed
Review: 8-9
• If still more time, work
on Accelerated Math.