Transcript Document
October 21st Pick 3 of the percentages below and draw them pictorially: 25% 75% 50% 20% 30% 80% - How to manipulate percentages, ratios, rates & proportions Approximately October 20th to November 26th By the end of this unit, we will know how to apply & manipulate percentages, ratios, rates, and proportions. This will help us with our Data & Probability unit at the end of the year. We will learn how to work with: - Percentages - Ratios & Rates - Proportional Reasoning Why do we need to know this!?! What is a percent? A percent is the number of parts per 100. - The numerator of a fraction with the denominator of 100. (ex) How can we draw a picture of a percent? http://nlvm.usu.edu/en/nav/frames_asid_ 160_g_3_t_1.html?open=activities&from= category_g_3_t_1.html You are going to get a Post-It Note stuck to your back that has a percentage on it. (Between 1-100) Using ONLY Yes or No Questions, attempt to figure out what percentage is on your Post-It Note. When done, place it on your front & sit in a circle around the couch area. October 22nd Write each percent as a fraction and as a decimal: 3% 51% 98% 29% Convert Percentages to Fractions - If a whole number, write the number as a fraction over top of a denominator of 100 (ex) 73% 73 100 Convert Percentages to Fractions - If a decimal, write the number as a proper fraction over top of a denominator of 1 with the appropriate number of zeroes (ex) 73.5% 735 1000 Convert Percentages to Fractions 63.5% 78.92% 54% 23.7% Convert Fractions to Percentages - Divide the numerator by the denominator - Multiply your result by 100 (ex) 15 = 0.8333... x 100 = 83.3% 18 Convert Fractions to Percentages 4/5 35/79 12/100 72/99 October 23rd Steven makes 17/19 of his blocks successfully in football. What is the percentage of blocks that Steven is unsuccessful at? Complete page 239-241 in the textbook, questions 6-21 October 28th – Hand In Day! Bob got 16/20 on his math test. Georgie got 13/15 on his math test. Who got the better mark? Please show all your work. October 29th Please represent the following fractions as percentages and decimals: 12 18 78 92 7 11 October 30th Kowan collected 172 pieces of candy while out for Halloween. He decided to separate them by candy type and realized he had 68 pieces of his favourite candy: Kit Kat bars. What % of Kowan’s total Halloween candy was Kit Kat bars? October 31st – Happy Halloween!! There are 67 houses on Sam’s trick or treat route. She was able to go to 51 houses before her candy bag was full. What % of the houses on her route did she get to? Can you represent this % as a fraction and as a decimal? November 1st – Hand In Day!! Halloween candy is now 63% off! You can now buy boxes at I.G.A for $4. What did they cost yesterday? Please show all your work. November 4th The ratio of neon shirts to neon pants in Gaby’s closest is 11:7. - Write the ratios of shirts to the total number of garments. - Write the ratio in bullet point 1 as a percent What are ratios & rates? A ratio is a comparison between quantities of the same unit - Can be between two or more quantities (ex) There are 9 girls in Grade 8 compared to 16 total students. The ratio of girls to all Grade 8 students is 9 to 16 9:16 What are ratios & rates? A rate is a comparison between quantities of different units (ex) There are 14 tables in Mrs. Thompson’s room compared to 16 Grade 8 students. The rate of tables to Grade 8 students is 14 to 16 14:16 Jade’s Halloween stash contains 8 red, 5 green, 2 orange, 3 purple, 1 blue, & 6 yellow candies: - What are the following ratios: - red:purple - green:blue - purple:blue:green - orange & yellow:total candies - Suppose she ate 3 red, 2 green, & 4 yellow candies. What would the ratios be now? Do the following sentences use ratios or rates? - The car was travelling 60km/hr. - The punch has 3 cups of cranberry juice and 4 cups of ginger-ale. - Katie earns $8/hr at her part-time job. - The soccer team won 25 games & love 15 games. Using your Smart Device or an iPad, open up the following webpage: http://padlet.com/wall/grade8math November 5th Which is the greater rate? - Alexis earns $24 in 3 hr or $36 in 4 hr. - Jessie charges $4.50 for 6 muffins or $6.00 for a dozen muffins - Kurtis buys a 250 mL milk for $0.99 or a 1L milk for $3.59 November 6th Determine whether the sentence expresses a ratio or a rate. Write the rate or ratio for each: - The cost of pecans is $10.89 for each kilogram. - 3 out of every 7 people wear glasses. - Mr. Thompson travelled 620km in 6 hr. - In 7 games, the team scored a total of 23 points. November 7th A pencil case contains 7 yellow, 3 red, 1 black, and 5 green pencil crayons. Write each ratio - red:green - yellow:red - black:total pencil crayons - yellow:red:green Suppose 2 yellow & 2 green were lost, rewrite the ratios with your new stats. Using the provided template, create a page for your Interactive Notebook summarizing....... what? Use your own words! November 12th – Hand In Day! Mrs. Thompson received 92% on her entrance exam. Write her result as a simplified fraction and as a decimal. What would this look like as a ratio? Could this also be expressed as a rate? If so, how? November 13th Write the following ratios as percentages. - 3 out of every 7 people wear jeans. - 14 of the total 35 candies are chocolate. November 14th Alexis normally gets paid $25 a week to work in the canteen. At the end of the term she gets a bonus of 60% of her weekly wage. How much is her bonus cheque? November 18th - Hand In Day! Mrs. V can knit 5 pairs of mittens every 27 days. Is this a rate or a ratio? She uses 3 balls of yarn per pair of mittens. If she has 32 balls of yarn, what percent did she use up knitting her 5 pairs of mittens?