7th Grade MathWeek 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_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 it2) write the correct expression3) 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…..The distance of a number from zero on a number line.

Examples… Explain how you would use this word in math.

Lesson

SPI 0706.3.7 Translate between verbal and symbolic representations of real-world 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 82. the product of 3 and n3. 4 less than x4. the quotient of a number and 125. 52 times a number 6. w less than 157. the sum of 13 and a number8. the product of 5 and p, increased by 109. the sum of 15 divided by b and 610.12 less than the amount y divided by 2

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

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 *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

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?

This word actually means…..a math sentence that shows two equivalent expressions using variables and numbers.

Examples… 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 - 6x9. a2 + b2 + 2a2 + 5b2

10. 7h2 + 3 - 2h2 + 411. 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 EquationsSimplify each expression. Justify your steps using the Commutative, Associative, and Distributive Properties, when necessary.

1.8k2 + 4k - 3k2 + 32 - k + 52.10x3 + 5y2 + 2xy - 4y2 + 4xy - x3

3.3a + 2b2 + 6c + a - 2c + b2 + c4.12x4 + 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 it2) write the correct expression3) 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?

This word actually means…..a math sentence that shows two equivalent expressions using only numbers.

Examples… 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 forthe perimeter of the figure to theright.

Simplifying Algebraic Equations9.

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 WorkA 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 it2) write the correct the to expression3) 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?

This word actually means…..measure of the steepness of a line on a graph (rise / run).

Examples… 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 deskDuring 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?

This word actually means…..rate in which the second quantity in the comparison is one unit.

Examples… 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?