7th Grade Math

Week of 12/7/14

Information from : Purple Math, Holt Rinehart Winston TB, Math-Aides

http://net.cmsdnet.net/schools/math/sld005.htmhttp://www.mathsisfun.com/

https://www.sinclair.edu/centers/tlc/pub/handouts_worksheets/mathematics/DEV085/7_integers/085_signed_integer_word_problems.pdf

Monday: Bell Work

Write and solve the proportion

Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?

Agenda

• 1- bell work• 2- Agenda *HW- TB P. 230• 3- review of the words!! **Test Monday 12/8• 4- Objective • 5- lesson – Ratios/ Rates/ Proportion review• 6- exit ticket

Vocabulary

1. Critique- a detailed analysis and assessment of something: evaluate (a theory or practice) in a detailed and analytical way

2. Precision-the degree to which the correctness of a quantity is expressed.

3. Transform- to simplify or solve a mathematical problem

4. Computation- using 4 basic operations (=, -, x, ÷) to solve a problem

5. Additive Inverse- The opposite of a number (+5, -5)

Lesson

• 7. RP.2. Recognize and represent proportional relationships between quantities.

Ratio

A ratio compares values.

A ratio says how much of one thing there is compared to another thing.

**Can be written 3 different ways:

3 to 2 3:2 3/2

Rate

It is a comparison of measurements that have different units, like cents and grams.

Example: 420 miles in 6 hours

420 mi/ 6 hrs

UNIT RATE

A unit rate is a rate with a denominator of 1.

Example: 420 miles in 6 hours *divide 420/6

70 miles per 1 hour 70mi/1hr

Proportion

Proportion states that two ratios are equivalent.

4 12

9 = 27

You can find equivalent proportions by:

Scaling, cross multiplying, or simplifying

Solving Proportions

12 x

7 = 28

7x = 12(28) write an equation by cross multiplying1

7x = 336

÷7 ÷7

x = 48

Solving Proportions

12 x

7 = 28

solve by scaling

7 x 4 = 28

12 x 4 = 48

Review of Rate/Ratio/Proportion

Text book problems to practice

Ratios: p. 216 # 5-10

Rate: p. 220 #1-3, 9-11

Proportions: p. 224 #29, 31 and

p. 228 # 11-14

Exit / Closure

• Partner discussion with neighbor (s)

• What is the difference between a rate and a unit rate?

Tuesday: Bell Work *HW on deskWrite and solve the proportion

Jenny was planning a trip to the United Arab Emirates. Before going, she did some research and learned that the exchange rate is 4 Dirhams for every $1. How many Dirhams would she get if she exchanged $5?

Agenda

• 1- bell work• 2- Agenda *ws• 3- vocabulary review test Monday 12/8• 4- Objective • 5- Check Homework • 6- lesson *Similar Triangles• 7- exit ticket

Lesson

• 7. RP.2. Recognize and represent proportional relationships between quantities.

Vocabulary

6. Absolute Value- The distance of a number from zero on a number line

7. Algebraic Equation- math sentence that shows two equivalent expressions using variables and numbers

8. Numerical Equation- math sentence that shows two equivalent expressions using only numbers

9. Slope- measure of the steepness of a line on a graph (rise / run)

10. Unit Rate- rate in which the second quantity in the comparison is one unit

Similar Triangles

Similar Figures have the same shape but can be different sizes. The symbol ~ means similar.

Similar Triangles

Corresponding Angles: The angles that are in the same position on two different figures.

Corresponding Sides: The sides that are in the same position on two different figures.

**sides must be proportional

Similar Triangles

For figures to be similar: The corresponding angles must have the same

measurement!!! (triangles = 180°) All the ratios of the corresponding sides must be

proportional!!

Similar Triangles

When naming figures list corresponding angles in the same order.

ABC ~ DEF

<A ~ <D AB ~ DE

D

BC

A

E

F

EE

Exit/ Closure

• Discuss with your neighbor...

• What is the total of all the angles in a triangle?

• …in a quadrilateral?

Wednesday: Bell Work *HW on desk

Write and solve the proportion

Answer the question. Round your answer to the nearest tenth. Round dollar amounts to the nearest cent.

Asanji took a trip to Mexico. Upon leavinghe decided to convert all of his Pesos backinto dollars. How many dollars did hereceive if he exchanged 42.7 Pesos at a rateof $5.30 = 11.1 Pesos?

Similar Triangles

Agenda

• 1- bell work• 2- Agenda *in class problems- no homework• 3- vocabulary review test Monday 12/8• 4- Objective • 5- Check Homework • 6- lesson *Similar Triangles• 7- exit ticket

Lesson

• 7. RP.2. Recognize and represent proportional relationships between quantities.

Vocabulary

11. Ratio- A relationship between two quantities, normally expressed as the quotient of one divided by the other (written as a fraction, :, or to)

12. Proportional- when two ratios are equivalent 13. Graph- a diagram representing a system of

connections among two or more things by a number of distinctive dots, lines, bars, etc.

14. Contrast-to compare in order to show unlikeness or differences

15. Table-an arrangement of words, numbers, or signs, in columns, to show a set of facts or relations

Exit / Closure

• Partner discussion with your neighbor (s)

• What are corresponding angles? List corresponding pairs below

A

B

C

T

SP

Thursday: Bell WorkWrite and solve the proportion

Answer the question. Round your answer to the nearest tenth. Round dollar amounts to the nearest cent.

Mary reduced the size of a painting to awidth of 3.3 in. What is the new height if itwas originally 32.5 in tall and 42.9 in wide?

Agenda

• 1- bell work• 2- Agenda *WS • 3- vocabulary review test Monday 12/8• 4- Objective • 5- lesson *N2K and Similar Triangles• 6- exit ticket

Lesson

• 7. RP.3 Use proportional relationships to solve multistep ratio and percent problems.

• N2K 2

Vocabulary

16. Equation- math sentence that shows two equivalent expressions

17. Expression- math phrase that contains operations, numbers and/or variables

18. Rate- a ratio that compares two quantities measured in different units

19. Percent- ratio comparing a number to 100 20. Interpret- analyze or explain something

Need to KnowCT-

Identify the Unit Rate in the problem. Find the answer choice that has the same Unit rate. Show your work for ALL of the answer choices and identify the one that has the same unit rate

CR-

Create a proportion based on information given in problem.Solve the proportion’s missing valueExplain in words your reasoning (at least 2 complete sentences)

Exit / Closure

• Partner discussion with your neighbor (s)

• What skills were important for this need to know? What were your strengths or weaknesses?

Friday: Bell WorkWrite and solve the proportion

A snowstorm dumped 18 inches of snow in a 12-hour period. How many inches were falling per hour?

Mary can read 22 pages in 30 minutes. How long would it take her to read a 100 page book? Write youranswer in hours and minutes and round to the nearest minute, if needed.

Agenda

• 1- bell work• 2- Agenda *In class WS • 3- vocabulary review test Monday 12/8• 4- Objective • 5- lesson *Percent• 6- exit ticket

Lesson

• 7. RP.3 Use proportional relationships to solve multistep ratio and percent problems.

Vocabulary

21. Linear Equation- equation whose solutions form a straight line when graphed on a coordinate grid

22. Quantity: total value of a given group or specific amount

23. Coefficient: the number that is multiplied by the variable in an algebraic expression/equation

24. Variable: a symbol used to represent a quantity that can change

25. Reciprocal: one of two numbers whose product is one: aka as the multiplicative inverse

% Percents %

Exit / Closure

What are 3 places that you might see a percent being used?