1. 7 th 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

2. Monday: Bell Work Write and solve the proportion Place your name on the top of the Unit Rate Bell work worksheet. 1.We will solve the first problem together. 2.You will solve the second problem on your own. 3.When you are done, we will pass them up to be graded and returned each day.

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 GLUE THE LIST OF VOC WORDS INTO YOUR VOCABULARY NOTEBOOK 1. - a detailed analysis and assessment of something: evaluate (a theory or practice) in a detailed and analytical way 2. -the degree to which the correctness of a quantity is expressed. 3. - to simplify or solve a mathematical problem 4. - using 4 basic operations (=, -, x, ÷) to solve a problem 5. - 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 3:2 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 Use 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 multiplying 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 Complete Question #3. Don’t forget to write an equation And a PROPORTION!!! YOU MUST SHOW WORK!!!!!

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. - The distance of a number from zero on a number line 7. - math sentence that shows two equivalent expressions using variables and numbers 8. - math sentence that shows two equivalent expressions using only numbers 9. - measure of the steepness of a line on a graph (rise / run) 10. - 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. http://www.shmoop.com/video/similar-figures/

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 <A ~ <DAB ~ DE D B C A E F EE

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 in basket Write and solve the proportion Complete Question #4. Don’t forget to write an equation And a PROPORTION!!! YOU MUST SHOW WORK!!!!!

23. 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

24. Lesson 7. RP.2. Recognize and represent proportional relationships between quantities.

25. Vocabulary 11. - A relationship between two quantities, normally expressed as the quotient of one divided by the other (written as a fraction, :, or to) 12. - when two ratios are equivalent 13. - a diagram representing a system of connections among two or more things by a number of distinctive dots, lines, bars, etc. 14. -to compare in order to show unlikeness or differences 15. -an arrangement of words, numbers, or signs, in columns, to show a set of facts or relations

26. Similar Triangles

27. Exit / Closure Partner discussion with your neighbor (s) What are corresponding angles? List corresponding pairs below A B C T SP

28. Thursday: Bell Work Write and solve the proportion Complete Question #5. Don’t forget to write an equation And a PROPORTION!!! YOU MUST SHOW WORK!!!!!

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. - math sentence that shows two equivalent expressions 17. - math phrase that contains operations, numbers and/or variables 18. - a ratio that compares two quantities measured in different units 19. - ratio comparing a number to 100 20. - 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 proportion’s 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 *HW in basket Write and solve the proportion Complete Question #6 & #7. Don’t forget to write an equation And a PROPORTION!!! YOU MUST SHOW WORK!!!!!

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. equation whose solutions form a straight line when graphed on a coordinate grid 22. : total value of a given group or specific amount 23. : the number that is multiplied by the variable in an algebraic expression/equation 24. : a symbol used to represent a quantity that can change 25. : one of two numbers whose product is one: aka as the multiplicative inverse

38. Vocabulary 26. A number that is multiplied by itself to form a product is called a square root of that product 27. : A square of a whole number 28. : Measures how far off an estimate is from the actual value 29. : two equal ratios

39. % Percents %

40. Exit / Closure What are 3 places that you might see a percent being used?