Mental Math Mental Math October 21st Pick 3 of the percentages below and draw them pictorially: 25% 75% 50% 20% 30% 80%
percent ratio & rate Percent Ratio & rate - How to manipulate percentages, ratios, rates & proportions- Approximately October 20th to November 26th
Intro Intro 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
Intro Intro Why do we need to know this!?!
Percentages percentages What is a percent? A percent is the number of parts per 100. - The numerator of a fraction with the denominator of 100. (ex)
Percentages percentages 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
Percentages percentages You are going to get a Post-It Note stuck to your back that has a percentage on it. (Between 1-100) Using ONLYYes 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.
Mental Math Mental Math October 22nd Write each percent as a fraction and as a decimal: 3% 51% 98% 29%
Percentages percentages 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
Percentages percentages 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
Percentages percentages Convert Percentages to Fractions 63.5% 78.92% 54% 23.7%
Percentages percentages Convert Fractions to Percentages • Divide the numerator by the denominator • Multiply your result by 100 (ex) 15 = 0.8333... x 100 = 83.3% 18
Percentages percentages Convert Fractions to Percentages 4/5 35/79 12/100 72/99
Mental Math Mental Math October 23rd Steven makes 17/19 of his blocks successfully in football. What is the percentage of blocks that Steven is unsuccessful at?
Percentages percentages Complete page 239-241 in the textbook, questions 6-21
Mental Math Mental Math 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.
Mental Math Mental Math October 29th Please represent the following fractions as percentages and decimals: 12787 18 92 11
Mental Math Mental Math 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?
Mental Math Mental Math 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?
Mental Math Mental Math 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.
Mental Math Mental Math 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
ratios & rates ratios & Rates 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
ratios & rates ratios & Rates 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
ratios & rates ratios & Rates 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?
ratios & rates ratios & Rates 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.
ratios & rates ratios & Rates Using your Smart Device or an iPad, open up the following webpage: http://padlet.com/wall/grade8math
Mental Math Mental Math 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
Mental Math Mental Math 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.
Mental Math Mental Math November 7th A pencil case contains 7 yellow, 3 red, 1 black, and 5 greenpencil 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.
Interactive Notebook Notebook Interactive Using the provided template, create a page for your Interactive Notebook summarizing....... what? Use your own words!
Mental Math Mental Math 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?
Mental Math Mental Math November 13th Write the following ratios as percentages. • 3 out of every 7 people wear jeans. • 14 of the total 35 candies are chocolate.
Mental Math Mental Math 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?
Mental Math Mental Math 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?