th
7
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/DE
V085/7_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
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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
70 miles per 1 hour
*divide 420/6
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 desk
Write and solve the proportion
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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
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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:
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The corresponding angles must have the same
measurement!!! (triangles = 180°)
All the ratios of the corresponding sides must be
proportional!!
Similar Triangles
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When naming figures list corresponding angles in
the same order.
A
D
C
F
B
E
ABC ~ DEF
<A ~ <D
AB ~ DE
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 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?
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,
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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
T
B
C
A
P
S
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?
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 Know
CTIdentify 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
CRCreate a proportion based on information given in problem.
Solve the proportion’s missing value
Explain 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 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.
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
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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?