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

Monday: Bell Work Write and solve the inequality. Max's employer has at most $18.00 to spend on tape measures for his crew. How many can he buy with that amount if each tape measure costs $4.50? Solve and graph the inequality. 8h < -96

Agenda 1- bell work 2- Agenda *HW- TB p. 266 1-10 3- vocabulary word of the day 4- Objective 5- lesson – Ratios/ Rates 6- exit ticket

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

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

The ratio is still the same, so the pancakes should be just as yummy. 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 second quantity 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. Ask what is most important to them when they go to the store, money, so that is what needs to go first.

Ad Task You are the CEO of one of the major grocery stores. You were asked to come up with a new advertisement for the food you will be selling during the holiday season. Your ad has to include: The rate of the item. The unit rate of the item. A comparison the other major grocery stores. A drawn picture of the item.

Instructions Find an item you want to sell from the given newspaper. Create a rate of that item (price to ounces or pounds) Calculate the unit rate of that item. Compare that to the original item you found the newspaper. Create an AD to represent the item.

Lesson Review

Exit / Closure On a sticky note write answer the following question. -What is the difference between a rate and a ratio?

Tuesday: Bell Work *HW on desk Write and solve the inequality. Last Friday Marissa had $22.50. Over the weekend she received some money for cleaning. She now has over $32.00. How much money did she get for cleaning? Solve and graph the inequality. 7x + 3 ≥ 40

Agenda 1- bell work 2- Agenda *WB p. 35-36 3- vocabulary word of the day 4- Objective 5- Check Homework 6- lesson *Writing/Identifying Proportions 7- exit ticket

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

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

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 second quantity 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. Ask what is most important to them when they go to the store, money, so that is what needs to go first.

Lesson Review

Wednesday: Bell Work Write and solve the equation or inequality At a restaurant, Daphne and her three friends, Amber, Jason and Wilson decided to divide the bill evenly. If each person's part exceeded $13.00, what was the total bill? Solve and graph the inequality. K – 9 ≤ 89 4

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 Examples… What does this word mean to you? This word actually means….. a symbol used to represent a quantity that can change. What does this word mean to you? 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??

Exit/ Closure Discuss with your neighbor... How do you feel about your understanding of rate and unit rate? *Decide as a team where you will place your Ad to illustrate your understanding of the lesson.

Thursday: Bell Work Write and solve the equations or inequalities Sara goes to Fredonia University. She has $900 in her savings account. She needs to buy a small laptop computer before the next semester. The laptop costs $600. Every 2 weeks she withdraws $60 from her savings account for food. How many times can Sara withdraw money for food? Write an inequality to explain. Solve and graph the inequality. X + 12 > 102 5

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 Examples… What does this word mean to you? This word actually means….. one of two numbers whose product is one. What does this word mean to you? 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 30.48 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 = 30 30.48 c 12 = 30 12c = (30)(30.48) 12c = 914.4 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?

Friday

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?