7th Grade Math

1
7th Grade Math

• Week of 10/20/14
• 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/mathematics/DEV085/7_integers/085_signe
  d_integer_word_problems.pdf

2
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

3
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

4
6. Absolute Value
This word actually means.. The distance of a
number from zero on a number line.
What does this word mean to you?
Explain how you would use this word in math.
Examples
5
Lesson

• SPI 0706.3.7 Translate between verbal and
  symbolic representations of real-world phenomena
  involving linear equations.

6
Translating Words to Math
Glue notes page in composition notebook
7
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
8
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
• 18 less than the product of a number and 4
• 15. take away 32 from the product of 6 and a
  number

9
Translating Words to Math

• 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.

10

• At the end of the 20042005 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.

11
Exit / Closure

• Partner discussion with neighbor (s)
• Why is it important to be able to properly read
  and understand contextual problems?

12
Tuesday Bell Work HW on desk

• A submarine hovers at 240 meters below sea level.
  If it descends 160 meters and then ascends 390
  meters, what is its new position?
• 1) draw the problem out- be sure to correctly
  label it
• 2) write the correct expression
• 3) solve

13
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

14
7. Algebraic Equation
This word actually means.. a math sentence that
shows two equivalent expressions using variables
and numbers.
What does this word mean to you?
Explain how you would use this word in math.
Examples
15
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.

16
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
17
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

18
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

19
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

20
Exit/ Closure

• What does the term simplifying refer to in the
  directions of these problems?
• Discuss with your neighbor...

21
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

22
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

23
8. Numerical Equation
This word actually means.. a math sentence that
shows two equivalent expressions using only
numbers.
What does this word mean to you?
Explain how you would use this word in math.
Examples
24
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.

25
Simplifying Algebraic Equations

• 7.
• Write an expression that has five terms and
  simplifies to 5m 3 4n.

• 8. Write and simplify an expression forthe
  perimeter of the figure to theright.

26
Simplifying Algebraic Equations

• 9. Write an expression to find the combined
  perimeters of the figures to the right. Then
  simplify the expression.

27
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.

28
Exit / Closure

• Partner discussion with your neighbor(s)
• What is the difference between a coefficient and
  variable?

29
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

30
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

31
9. Slope
This word actually means.. measure of the
steepness of a line on a graph (rise / run).
What does this word mean to you?
Explain how you would use this word in math.
Examples
32
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

33

• Need to Know 2

34
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

35
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

36
10. Unit Rate
This word actually means.. rate in which the
second quantity in the comparison is one unit.
What does this word mean to you?
Explain how you would use this word in math.
Examples
37
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.

38
Equations
39
Exit / Closure

• Partner discussion with your neighbor(s)
• When solving equations we do addition before
  multiplication why is this?