Transcript 7th Grade Math

th
7
Grade Math
Week of 10/13/14
Information from : http://net.cmsdnet.net/schools/math/sld005.htm
http://www.mathsisfun.com/adding-decimals.html
https://www.sinclair.edu/centers/tlc/pub/handouts_worksheets/mathe
matics/DEV085/7_integers/085_signed_integer_word_problems.pdf
Monday: Bell Work
At sunrise, the outside temperature was 1°
below zero. By lunch time, the temperature
rose by 17° and then fell by 4° by night. What
was the temperature at the end of the day?
1) draw the problem out- be sure to correctly label it
2) write the correct expression
3) solve
Agenda
1- bell work
2- Agenda *copy homework workbook p. 7
3- vocabulary word of the day
4- Objective
5- lesson *Translating words to math (add to
TOB)
6- exit ticket
6. Absolute Value
What does this
word mean to
you?
This word actually
means…..
Examples…
Explain how
you would use
this word in
math.
The distance of a number
from zero on a number
line.
Lesson
SPI 0706.3.7 Translate between verbal
and symbolic representations of realworld phenomena involving linear
equations.
Translating Words to Math
Glue notes page
in composition
notebook
Translating Words to Math
Write as an algebraic expression.
1. the sum of m and 8
2. the product of 3 and n
3. 4 less than x
4. the quotient of a number and 12
5. 52 times a number
6. w less than 15
7. the sum of 13 and a number
8. the product of 5 and p, increased by 10
9. the sum of 15 divided by b and 6
10. 12 less than the amount y divided by 2
Translating Words to Math
16.Used video games cost $25 each. Write an algebraic
expression to find the cost of m video games.
17. Sal earned $740 for n weeks of work. Write an
algebraic
expression for the amount he earned each week.
18. At the end of the 2004–2005 NBA season, Reggie Miller
was the all-time leader in 3-point field goals made.
He made n more field goals than Dale Ellis. Dale Ellis
made 1,719 3-pointers. Write an algebraic expression to
find the number of 3-pointers Reggie Miller made.
19. The $2 bill has Thomas Jefferson on the front of it.
Write an algebraic expression to find out how much
money
v bills with Thomas Jefferson on them would be worth.
Exit / Closure
• Partner discussion with neighbor (s)
Why is it important to be able to properly
read and understand contextual problems?
Tuesday Bell Work:
Translating Words to Math
11.
26 increased by 12 times a number
12.
the difference of 2 times a number and 6
13.
the product of h and 3, increased by 20
14. 18 less than the product of a number and 4
15. take away 32 from the product of 6 and a
number
Agenda
1- bell work
2- Agenda *Worksheet
3- vocabulary word of the day
4- Objective
5- Check Homework
6- lesson *Simplifying Algebraic Expressions
(add to TOB)
7- exit ticket
7. Algebraic Equation
What does this
word mean to
you?
Examples…
This word actually
means…..
a math sentence that shows two
equivalent expressions using
variables and numbers.
Explain how
you would use
this word in
math.
Lesson
SPI 0706.2.1 Simplify numerical
expressions involving rational
numbers.
SPI 0706.3.1 Evaluate algebraic
expressions involving rational
values for coefficients and/or
variables.
Simplifying Algebraic Equations
Identify like terms in each list.
1. 6a b a 17 4b 32 17a
2. x x 2 3x 3 3x 2 6
3. 2 6z 6z 2 z 17z z 2 3
4. m 8 8m 2 8m m 2 12m 18
5. 2p 22p 56q 122 q 34
6. d d 2 15d 2 2d 42 5d 44
Simplifying Algebraic Equations
Combine like terms.
7. 6p2 + 3p2
8. 9x - 6x
9. a2 + b2 + 2a2 + 5b2
10.7h2 + 3 - 2h2 + 4
11. 3x + 3y + x + y + z
12.5b + 5b + 6b2 - 10 - 3b
Simplifying Algebraic Equations
13. Find the perimeter of the rectangle.
Combine like terms.
A 4x + 3y
B 8x + 6y
C 12xy
D 4x2 + 3y 2
Simplifying Algebraic Equations
Simplify each expression. Justify your steps
using the Commutative,
Associative, and Distributive
Properties, when necessary.
1.8k2 + 4k - 3k2 + 32 - k + 5
2.10x3 + 5y2 + 2xy - 4y2 + 4xy - x3
3.3a + 2b2 + 6c + a - 2c + b2 + c
4.12x4 + 6x2 + 5x3 - x2 + 2xy - 8x4
5.9p6 + q2 + 6p + 5q2 + 5p - 5q2
6.h2 + 4h + 4h2 - h + 4 + h2 + 7h
Exit/ Closure
What does the term simplifying refer to in
the directions of these problems?
Discuss with your neighbor...
Wednesday: Bell Work
*HW on desk
A monkey sits on a limb that is 25 ft above the
ground. He swings up 10 ft, climbs up 6 ft more
then jumps down 13 ft. How far off the ground is
the monkey now?
1) draw the problem out- be sure to correctly
label it
2) write the correct expression
3) solve
Agenda
1- bell work
2- Agenda *in class problems- no homework
3- vocabulary word of the day
4- Objective
5- Check Homework
6- lesson *Simplifying Algebraic Expressions
7- exit ticket
8. Numerical Equation
What does this
word mean to
you?
Examples…
This word actually
means…..
a math sentence that
shows two equivalent
expressions using only
numbers.
Explain how
you would use
this word in
math.
Lesson
SPI 0706.2.1 Simplify numerical
expressions involving rational
numbers.
SPI 0706.3.1 Evaluate algebraic
expressions involving rational
values for coefficients and/or
variables.
Simplifying Algebraic Equations
7.
Write an expression that has five terms and simplifies to
5m 3 + 4n.
8.Write and simplify an expression for
the perimeter of the figure to the
right.
Simplifying Algebraic Equations
9.
Write an expression to find the
combined perimeters of the figures
to the right. Then simplify the
expression.
Simplifying Algebraic Equations
Jake scored x points in the first basketball game.
He scored 2 fewer points in the next game. His
teammate, Jack, scored 2y points in the first
game and 4 more than twice as many points in
the next game. Write and simplify an expression
for the total number of points scored by both
players.
Exit / Closure
Partner discussion with your neighbor(s)
What is the difference between a coefficient
and variable?
Thursday: Bell Work
A submarine dove 836 ft. It rose at a rate of 22 ft per
minute. What was the depth of the submarine after
12 minutes?
1) draw the problem out- be sure to correctly label it
2) write the correct the to expression
3) then solve the problem
Agenda
1- bell work
2- Agenda *copy homework worksheet
3- vocabulary word of the day
4- Objective
5- lesson *N2K and Equations
6- exit ticket
9. Slope
What does this
word mean to
you?
Examples…
This word actually
means…..
measure of the
steepness of a line on
a graph (rise / run).
Explain how
you would use
this word in
math.
Lesson
SPI 0706.3.6 Solve linear equations
with rational coefficients symbolically
or graphically.
SPI 0706.3.8 Solve contextual
problems involving two-step linear
equations.
• N2K 2
Need to Know 2
Friday: Bell Work
*HW on desk
During the football game, Justin caught three
passes. One was for a touchdown and went 52
yards. The other was for a first down and was for
17 yards. The other was on a screen pass that
did not work so well and ended up a gain of -10
yards. What was the total yardage gained by
Justin on the pass plays?
1) draw the problem out- be sure to correctly label
it
2) write the correct equation
3) solve
Agenda
1- bell work
2- Agenda *no homework
3- vocabulary word of the day
4- Objective
5- Check Homework
6- lesson *Equations
7- exit ticket
10. Unit Rate
What does this
word mean to
you?
Examples…
This word actually
means…..
rate in which the
second quantity in the
comparison is one unit.
Explain how
you would use
this word in
math.
Lesson
SPI 0706.3.6 Solve linear equations
with rational coefficients
symbolically or graphically.
SPI 0706.3.8 Solve contextual
problems involving two-step linear
equations.
Equations
Exit / Closure
• Partner discussion with your neighbor(s)
When solving equations we do addition before
multiplication why is this?