VIEWS: 28 PAGES: 27 CATEGORY: Templates POSTED ON: 11/30/2012 Public Domain
November 30, 2012 Welcome to class! Write down your homework assignment in your agenda Get a blue book Think about something to share about your weekend November 30, 2012 Notes Module 2 Unit 1 Day 1-‐G: Conver9ng between frac9ons and decimals ~FRACTIONS DECIMALS~ -‐ Divide numerator by denominator **TOP drops in the box** Termina6ng Decimal-‐ decimal that ____________________or terminates Repea6ng Decimal-‐ decimal that ___________________without end Example 1: Example 2: 3 4 Change Change into a decimal. 11 into a decimal. 25 Example 3: 3 Write 2 as a decimal 5 ~DECIMALS FRACTIONS~ -‐ Use last place value in the decimal as the denominator -‐ Write all numbers in the numerator Example 4: Example 5: Change 0.85 into a fraction. Change 4.375 into a fraction. Example 6: In a survey about pets, 2 of students prefer cats, 0.33 prefer dogs, 3 prefer birds, and 5 25 0.15 prefer fish. List the choices in order of preferences. November 30, 2012 Welcome to Class! Write your assignment in your agenda Get a blue math book Put last night's homework on the top left corner of your desk November 30, 2012 Notes Module 2 Unit 1 Day 2: Fractions/Decimals to Percents ~Decimals Percents~ - Write as a fraction using the place value of the last digit as the denominator - Write that fraction with denominator of 100 - Write as a percent Short-cut:: Move decimal 2 places to the _________________ Example 1: Example 2: Write 0.605 as a percent. Write 0.06 as a percent. ~Percents Decimals~ - Write percent over 100 - Divide Short-cut:: Move decimal 2 places to the ____________________ Example 3: Write each percent as a decimal. a) 35% b) 12.5% c) 7.8% Of- means to___________________ Example 4: Example 5: Find the percent of the number. During the basketball game you shot 70% of 900 90%. If you shot 20 times, how many of those 20 shots did you make? November 30, 2012 November 30, 2012 Welcome to Class! Write down your assignment in your agenda Put your homework on the top left corner of your desk November 30, 2012 Notes Module 2 Unit 1 Day 3-G: Converting Fractions and Percents ~Fractions Percents~ - Divide numerator by denominator - Move decimal Short-cut:: If denominator is a factor of 100, write equivalent fraction with a denominator of 100 Example 1: Example 2: Write 4 as a percent. 5 During the last two basketball games, you have made 9 out of 15 free throws. What was your shooting percentage? ~Percents Fractions~ - Write as a fraction with denominator of 100 - Simplify Example 3: Example 4: Write 45% as a fraction. Write 12.5% as a fraction. Example 5: Example 6: Find 25% of 200. Find 30% of 90. November 30, 2012 Welcome to Class! Write down your assignment in your agenda Put your homework on the top left corner of your desk Come see me to pass back papers PROBLEM OF THE WEEK! November 30, 2012 Notes Module 2 Unit 1 Day 4-G, A: Find the Percent of a Number Of- (in math) means to ______________________ Example 1: Order from least to greatest 7 15%, , 0.08, 50% 20 Example 2: Example 3: Find 75% of 140. Find 11% of 840. Example 4: Example 5: Find 40% of 2,400. The regular price of the video game you want is $15.98. Today you can buy it on sale for 70% of the regular price. What is the sale price? November 30, 2012 Welcome to class Write down your assignment in your agenda Put your homework on the top left corner of your desk Get ready for your homework quiz Come see me to pass back papers November 30, 2012 Notes Module 2 Unit 1 Day 5-G: Ratios Ratio- a comparison of __________ quantities by division. Ex: Can be written in 3 ways: Example 1: A basket of fruit contains 6 apples, 4 bananas, and 3 oranges. Write each ratio in all three forms. a) Bananas to apples b) Bananas and apples to oranges c) Oranges to total pieces of fruit Example 2: The keys on a music keyboard have a repeating pattern of five black keys and seven white keys. You can use ratios to describe patterns. a) Find ratio of black keys to white keys b) Find ratio of white keys to all keys c) Find ratio of white keys to black keys Example 3: At Rensselaer Middle School, there are 252 students in the seventh grade and 9 seventh-grade teachers. Write the ratio of students to teachers in simplest form. November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk If you would like to help pass back papers, come see me! November 30, 2012 Notes Module 2 Unit 1 Day 6-G: Equivalent Ratios Equivalent Ratios- two ratios that name the same ______________ 3 Ex: 6 = Example 1: 4 Find a ratio equivalent to 5 Example 2: Tell whether the ratios are equivalent or not equivalent. 180 25 a) 7:3, 128:54 b) 240 34 c) 6.1 to 7, 30.5 to 35 Example 3: Complete the ratio table. x2 x3 x4 x5 x6 5 7 Example 4: It takes 2 students working together to make 5 caramel apples. If 20 students are available, how many caramel apples can be made? -set up a table: x2 # of students 2 6 # of apples made 5 15 November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Come see me if you want to hand back papers Study notes for your Homework Quiz REMEMBER: Try the Problem of the Week November 30, 2012 Notes Module 2 Unit 1 Day 7-G: Graphing Ratios on the Coordinate Plane Coordinate Plane- a grid formed by a horizontal line and a _______________________line X-axis- horizontal line Y-axis- ________________________line Today we are only going to focus on Quadrant 1 (top right corner) of the coordinate plane! Example 1: Fill in the rest of the table with equivalent ratios. x2 x3 x4 x5 x6 x7 2 3 Example 2: Miss Cervenka likes to bake cookies. Her favorite recipe calls for 2 eggs, 1 box of yellow 1 cake mix, and bag of chocolate chips to make 2 dozen cookies per batch. Finish the table below 2 and plot as many points as possible on the coordinate plane. # of bags of # of chocolate Point eggs chips 1 batch 2 0.5 (2, 0.5) 2 batches 3 batches 4 batches 5 batches 6 batches 7 batches - To make cookies with 10 eggs, how many bags of chocolate chips do you need? - To make cookies with 3 bags of chocolate chips, how many eggs do you need? - If you make these cookies with 3 eggs and 2 bags of chocolate chips, are they going to taste the same? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Come see me if you want to pass back papers Work on Problem of the Week November 30, 2012 Notes Module 2 Unit 1 Day 8-G, A: Solving Equal Ratios Example 1: Example 2: 3 x 1 4 8 16 5 x Example 4: Example 3: x 2 27 9 21 7 x 7 Example 5: You need 4 scoops of mix and 10 cups of water to make lemonade. If you have 12 scoops of mix, how many cups of water do you need in order to make lemonade of the same strength? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Come see me if you want to pass back papers November 30, 2012 Notes Module 1 Unit 1 Day 9: Categorical Data Using Ratios Categorical Data- data that can be divided into smaller groups Example 1: We performed a questionnaire during advisory about hair color of all the 6th graders at Rensselaer Middle School. The results are in the table below. Explain the ra9o of brown hair to red hair in Mr. Chicki’s advisory. Blonde Red Brown Black Miss Tongish 5 2 12 4 Explain the ra9o of blonde hair to total students in Miss Cervenka’s advisory. Mrs. Stanley 9 1 10 1 Mrs. VanMeter 13 3 6 2 Explain the ra9o of black hair in Mrs. Stanley’s advisory Mr. Chicki 8 2 9 6 to total students with black hair. Miss Cervenka 7 1 11 7 Explain the ra9o of brown hair in Mrs. VanMeter’s and Totals 42 9 48 20 Miss Tongish’s advisory to blonde hair in Mrs. VanMeter’s and Miss Tongish’s advisory. November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Get a blue book PROBLEM OF THE WEEK!!! November 30, 2012 Notes Module 2 Unit 1 Day 10-G: Unit Rates Rate- ratio that compares _____________quantities measured in different units Ex: 288 miles 6 hours Unit Rate- rate with a denominator of _______________ HINT: Just divide the numerator by the denominator Ex: 288 miles 48 miles = 48 mph 6 hours **TOP drops in the box** 1 hour **Rates can be written in several different ways** 15 mi 15 miles per hour 15 mi /h 1h Example 1: Example 2: Write 75 miles in 1 hour in 3 different ways. Find the unit rate. 68 miles 4 days Example 4: Example 3: Find the unit rate. Find the unit rate. 2 cups in 8 servings $58 in 6 hours Example 5: A package of cheddar cheese contains 15 servings and has a total of 147 grams of fat. Find the unit rate of grams of fat per serving. November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk Come see me if you want to pass back papers! November 30, 2012 Notes Module 2 Unit 1 Day 11-G: Unit Rate Story Problems Example 1: Example 2: You go to Wal-Mart to buy shampoo. Your best friend also went to Wal-Mart with You buy the 16 oz bottle for $6.19. What is you and bought the 13.5 oz bottle shampoo of the the unit price of that shampoo? same brand for $3.99. What is the unit price of her shampoo? --So who got the better deal? Example 3: Which bottle of apple juice is the better buy: 48 fl oz for $3.05 or 64 fl oz for $3.59? Example 4: While you were at Wal-Mart, you realized you also needed some more cereal. The cereal you wanted to buy was marked down to $0.31 per ounce and it was an 8 oz box. How much does the box of cereal cost? Example 5: A 2-liter bottle of soda costs $2.02. A 3-liter bottle of soda costs $2.79. Which is the better deal? November 30, 2012 Notes Module 2 Unit 1 Day 12-G, A: Distance=Rate x Time Distance Formula: distance = rate x time d = rt **Always write down the formula first, then substitute into that formula** Example 1: Example 2: r = 2 feet per second d = miles, r = 25 miles per hour, t = ?? t = 30 seconds Example 3: d = 72 miles, r = ??, t = 8 hours Example 4: You and your family are stuck in construction while going to visit your grandma who lives out of town and you are still 20 miles from her house. You are traveling at 36 miles per hour. You need to be there in 2 hours. How many miles would you travel at that constant speed? Will you make it there in time? Example 5: Karen is in a boat rowing 10 kilometers per hour in still water. If she has been boating for 4 hours, how many kilometers has she traveled? Example 6: A homing pigeon is a bird trained to fly back to its home. Homing pigeons can fly at a speed of about 50 miles per hour. About how long would it take for a homing pigeon to fly 300 miles? Example 7: In the 2001 Junior Iditarod rave, one team completed the race in about 18 hours over two days. The team’s average rate was 8.875 miles per hour. About how long was the race? November 30, 2012 Welcome to Class! Write down the assignment in your agenda Put your homework on the top left corner of your desk PROBLEM OF THE WEEK! Come see me if you want to pass back papers Turn in all missing work November 30, 2012 November 30, 2012 Welcome to Class! Write down the assignment in your agenda Turn in any missing work BEFORE the test Review your study guide GOOD LUCK