7th Grade Math

1
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.htm
• http//www.mathsisfun.com/
• https//www.sinclair.edu/centers/tlc/pub/handouts_
  worksheets/mathematics/DEV085/7_integers/085_signe
  d_integer_word_problems.pdf

2
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?

3
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

4
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)

5
Lesson

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

6
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 32 3/2

7
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

8
Proportion

• Proportion states that two ratios are equivalent.
  
• 4 12
• 9 27
• You can find equivalent proportions by
• Scaling, cross multiplying, or simplifying

9
Solving Proportions

• 12 x
• 7 28
• 7x 12(28) write an equation by cross
  multiplying1
• 7x 336
• 7 7
• x 48

10
Solving Proportions

• 12 x
• 7 28
• solve by scaling
• 7 x 4 28
• 12 x 4 48

11
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

12
Exit / Closure

• Partner discussion with neighbor (s)
• What is the difference between a rate and a unit
  rate?

13
Tuesday Bell Work HW on desk

• Write 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?

14
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

15
Lesson

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

16
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

17
Similar Triangles

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

18
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

19
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!!

20
Similar Triangles

• When naming figures list corresponding angles in
  the same order.
• ABC DEF
• ltA ltD AB DE

A
D
C
F
B
E
E
E
21
Exit/ Closure

• Discuss with your neighbor...
• What is the total of all the angles in a
  triangle?
• in a quadrilateral?

22
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 leaving he decided to
convert all of his Pesos back into dollars. How
many dollars did he receive if he exchanged 42.7
Pesos at a rate of 5.30 11.1 Pesos?
23
Similar Triangles
24
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

25
Lesson

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

26
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

27
Exit / Closure

• Partner discussion with your neighbor (s)
• What are corresponding angles? List corresponding
  pairs below

T
B
C
A
S
P
28
Thursday Bell Work
Write 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 a width of 3.3
in. What is the new height if it was originally
32.5 in tall and 42.9 in wide?
29
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

30
Lesson

• 7. RP.3 Use proportional relationships to solve
  multistep ratio and percent problems.
• N2K 2

31
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

32
Need to Know
CT- 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
proportions missing value Explain in words your
reasoning (at least 2 complete sentences)
33
Exit / Closure

• Partner discussion with your neighbor (s)
• What skills were important for this need to know?
  What were your strengths or weaknesses?

34
Friday Bell Work
Write 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
your answer in hours and minutes and round to the
nearest minute, if needed.
35
Agenda

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

36
Lesson

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

37
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

38
Percents
39
Exit / Closure

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