7 th Grade Math Week of 11/17/14 Information from : Purple Math, Holt Rinehart Winston TB, Math-Aides matics/DEV085/7_integers/085_signed_integer_word_problems.pdf

Monday: Bell Work Write and solve the equation or inequality In a class total of 65 students. 17 students failed the final exams. Write a statement to the show the number of students that passed? Shana bought many dresses for her dances. She has 12 bags of dresses. In each bag there were 5 dresses. She gave one bag to her sister. Write a statement that determines the number of dresses she has left.

Agenda 1- bell work 2- Agenda *HW- TB p vocabulary word of the day 4- Objective 5- lesson – Ratios/ Rates (add to NB) 6- exit ticket

21. Linear Equation What does this word mean to you? This word actually means….. equation whose solutions form a straight line when graphed on a coordinate grid. Examples… Explain how you would use this word in math.

22. Quantity What does this word mean to you? This word actually means….. total value of a given group or specific amount. Examples… Explain how you would use this word in math.

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

Ratios A ratio compares values. A ratio says how much of one thing there is compared to another thing. There are 3 blue squares to 1 yellow square

Ratios A ratio compares values. A ratio says how much of one thing there is compared to another thing. ***must be same unit**** There are 3 blue squares to 1 yellow square

Ratios can be shown in different ways: Using the ":" to separate the values: 3 : 1 Instead of the ":" we can use the word "to": 3 to 1 Or write it like a fraction: 3 1 *do not write as a mixed number or whole #

A ratio can be scaled up: Here the ratio is also 3 blue squares to 1 yellow square,even though there are more squares.

Using Ratios The trick with ratios is to always multiply or divide the numbers by the same value. Example: 4 : 5 is the same as 4×2 : 5×2 = 8 : 10

Recipes Example: A Recipe for pancakes uses 3 cups of flour and 2 cups of milk. So the ratio of flour to milk is 3 : 2 To make pancakes for a LOT of people we might need 4 times the quantity, so we multiply the numbers by 4: 3×4 : 2×4 = 12 : 8 In other words, 12 cups of flour and 8 cups of milk. The ratio is still the same, so the pancakes should be just as yummy.

Try this!!

Types of Ratios Part to Part: compare two parts in the group Example: 10 boys to 8 girls Part to Whole: compare a part to a whole Example: 10 boys to 18 students

These ratios are shots made to shots taken (answer the following) 1) Are these part to part or part to whole? 2) Who is the best at freethrows? 3) List the ratios from least to greatest.

Rates A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.

Rate Examples For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. The first term of the ratio is measured in cents; the second term in ounces. You can write this rate as 69¢/12 ounces or 69¢:12 ounces. Both expressions mean that you pay 69¢ "for every" 12 ounces of corn.

Lesson Review

Exit / Closure Partner discussion with neighbor (s) What is the difference between a rate and a ratio?

Tuesday: Bell Work *HW on desk Write and solve the equation or inequality A school library has 400 books. If 10 students took a book to read, write a statement to find the remaining books in library? Solve Josephine estimated that he found 200 pennies. He needs $5.00 to take the bus. How many more pennies does he need to find?

Agenda 1- bell work 2- Agenda *WB p vocabulary word of the day 4- Objective 5- Check Homework 6- lesson *Writing/Identifying Proportions (add to NB) 7- exit ticket

23. Coefficient What does this word mean to you? This word actually means….. the number that is multiplied by the variable in an algebraic expression/equation. Examples… Explain how you would use this word in math.

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

Identifying/ Writing Proportions

Use what you know About proportions to Put these numbers In order to create a proportion

TB p. 224

Exit/ Closure Discuss with your neighbor... Would it be better to earn $272 in 40 hours or $220 in 30 hours? Why??

Wednesday: Bell Work *HW on desk Write and solve the equation or inequality Jack works in departmental store. He needs to sell $1,000 of merchandise. He has sold $400. He sells $60 of merchandise a month. Find the number of months Jack needs to complete the target? Sara wants to her reduce weight. Her present weight is 75 kg. She is determined to be 65 kg. Every month she loses 2 kg weight. In how many months will she lose 10 kg of weight?

Agenda 1- bell work 2- Agenda *in class problems- no homework 3- vocabulary word of the day 4- Objective 5- Check Homework 6- lesson *Solving for proportions 7- exit ticket

24. Variable What does this word mean to you? This word actually means….. a symbol used to represent a quantity that can change. Examples… Explain how you would use this word in math.

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

Solving proportions If twelve inches correspond to centimeters, how many centimeters are there in thirty inches? I will set up my ratios with "inches" on top, and will use "c" to stand for the number of centimeters for which they've asked me. inches:centimeters: 12 = c 12 = c 12c = (30)(30.48) 12c = c = 76.2 Thirty inches corresponds to 76.2 cm.

Contextual Proportion Problems

Exit / Closure Partner discussion with your neighbor (s) What type of equation do you write when solving proportions?

Thursday: Bell Work Write and solve the equations or inequalities 500 students went on picnic trip. 10 students travelled in each car. Find out how many cars were used for the picnic trip? John bought ten books all at the same price. The total cost of the books was $242. He gave two books to his friend. What was the value of the books that he gave to his friend?

Agenda 1- bell work 2- Agenda *finish problems if needed 3- vocabulary word of the day 4- Objective 5- lesson *N2K and Unit Rate 6- exit ticket

25. Reciprocal What does this word mean to you? This word actually means….. one of two numbers whose product is one. Examples… Explain how you would use this word in math.

Lesson 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. For example, if a person walks 1/2 mile in each ¼ hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour. N2K 2

Unit Rates Video Additional videos 1 2

Word Problems Solve the word problems

Need to Know 2 CT- Solve the problem and choose the most correct answer. JUSTIFY your Answer in words!!! CR- Look at the work in the problem. Choose the answer that does not work With the given problem. JUSTIFY in words as to why that answer does not Can not be used with the problem.

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