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Canadian “Staycations” Project Name______________Hmrm:___ Learning Outcomes: 7N1. Number – Determine and explain why a number is divisible by 2, 3, 4, 5, 6, 8, 9, and 10 and why a number cannot be divided by zero. 7N2. Number – Demonstrate an understanding of addition, subtraction, multiplication and division of decimals to solve problems. 7N3. Number – Solve problems involving percents from 1% to 100%. 7N4. Number – Demonstrate an understanding of the relationship between positive terminating decimals and positive fractions and between positive repeating decimals and positive fractions. 7N6. Number – Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically. 7N7. Number - Compare and order positive fractions, positive decimals (to thousandths), and whole numbers by using: benchmarks, place value and equivalent fractions and/or decimals. 7SS4. Shape and Space – Identify and plot points in the four quadrants of a Cartesian plane, using integral ordered pairs. 7SP1. Statistics and Probability – Demonstrate an understanding of central tendency and range by: determining the measures of central tendency (mean, median, mode) and range; determining the most appropriate measures of central tendency to report findings. 7SP2. Statistics and Probability – Determine the effect on the mean, median, and mode when an outlier is included in the data set. 7SP3. Statistics and Probability – Construct, label and interpret circle graphs (or symmetrical circular drawings) to solve problems. Assignment: You are currently employed by Tourism Canada, and are compiling data to promote “staycations.” Your task is to gather and present data on select lakes and cities in Canada. You will be researching and calculating statistics to use in support of the promotional material. 2013 AMS Math 7 Page 1 LEVEL I Student Resources: Ruler, Protractor, Compass Pencil crayons Internet access Calculator Copy of charts and map Tasks: Research and record the population of two cities in each of the ten provinces and three territories of Canada. Choose five of your researched cities and research and record the highest and lowest extreme record temperatures. Research and record area or depth for one lake in each of the ten provinces and three territories of Canada. Keep your choice of data collection consistent for all lakes. On the map provided, label the origin and x and y axis. Plot your cities, and identify and label your coordinates beside each city. Using the record low temperatures, determine the mean, median, mode and range of your data. Identify any outliers and the impact they have on the measures of central tendency. Using the record high temperatures, determine the mean, median, mode and range of your data. Identify any outliers and the impact they have on the measures of central tendency. Draw your lakes on the map displaying the approximate location, size and shape based on your research. Using your lake statistics to determine the mean, median, mode and range. Copy and complete the following table representing the date for each of your lakes: LAKE STATISTIC DECIMAL EQUIVALENT PERCENT CENTRAL ANGLE TOTALS: Create a circle graph representing your lake statistics. (Reminder: color, label/legend, title, and percent must all be included in your graph.) You are looking at 24 of your 26 cities. What percent of your data is this? How do you know that these 24 cities can be divided into equal groups of 2, 3, 4, 6, and 8? Why can’t you divide it by zero? 2013 AMS Math 7 Page 2 LEVEL I ASSESSMENT: CRITERIA STUDENT TEACHER I researched and recorded city population information. I researched and recorded record temperatures for five cities. I researched and recorded lake data. I labeled the origin and x and y axis on the Canada map. I plotted cities on the map, and included coordinates. I calculated central tendencies and ranges. I drew the lakes on the map. I calculated the decimal and percent equivalents in the table. I constructed a circle graph. I used divisibility rules to create equal groups of 2, 3, 4, 6, and 8. 2013 AMS Math 7 Page 3 LEVEL II Student Resources: Ruler, Protractor, Compass Pencil crayons Internet access Calculator Copy of charts and map Blank paper Tasks: Research and record the population of two cities in each of the ten provinces and three territories of Canada. Choose five of your researched cities and research and record the highest and lowest extreme record temperatures. Research and record area or depth for one lake in each of the ten provinces and three territories of Canada. Keep your choice of data collection consistent for all lakes. On the map provided, label the origin and x and y axis. Plot your cities, and identify and label your coordinates beside each city. Using the record low temperatures, determine the mean, median, mode and range of your data. Identify any outliers and the impact they have on the measures of central tendency. Using the record high temperatures, determine the mean, median, mode and range of your data. Identify any outliers and the impact they have on the measures of central tendency. Draw your lakes on the map displaying the approximate location, size and shape based on your research. Estimate the coordinates of the center of the each lake, and record beside the lake on your map. Using your lake statistics to determine the mean, median, mode and range. Copy and complete the following table representing the date for each of your lakes: LAKE STATISTIC DECIMAL EQUIVALENT PERCENT CENTRAL ANGLE TOTALS: Create a circle graph representing your lake statistics. (Reminder: color, label/legend, title, and percent must all be included in your graph.) Research one lake or city for an interesting fact or tourist attraction. Create a bumper sticker to size advertising your interesting fact or attraction that meets the following criteria: o Will fit on the bumper of an average car. o Include a slogan that is appropriate for a general audience. o Color and design should be eye catching and original. o On the back of your bumper sticker include all dimensions and show the calculations to determine area. 2013 AMS Math 7 Page 4 You are looking at 24 of your 26 cities. What percent of your data is this? How do you know that these 24 cities can be divided into equal groups of 2, 3, 4, 6, and 8? Why can’t you divide it by zero? How many cities would you need to add or subtract to divide the total evenly into groups of 5, 9, and 10? LEVEL II ASSESSMENT: CRITERIA STUDENT TEACHER I researched and recorded city population information. I researched and recorded record temperatures for five cities. I researched and recorded lake data. I labeled the origin and x and y axis on the Canada map. I plotted cities on the map, and included coordinates. I calculated central tendencies and ranges. I drew the lakes on the map. I calculated the decimal and percent equivalents in the table. I constructed a circle graph. I labeled the approximate lake center coordinates on the map. I created a bumper sticker for one destination and included all required measurements and calculations. I used divisibility rules to create equal groups of 2, 3, 4, 5, 6, 8, 9, and 10. 2013 AMS Math 7 Page 5 LEVEL III Student Resources: Ruler, Protractor, Compass Pencil crayons Internet access Calculator Copy of charts and map Blank paper Computer Tasks: Research and record the population of two cities in each of the ten provinces and three territories of Canada. Choose five of your researched cities and research and record the highest and lowest extreme record temperatures. Research and record area or depth for one lake in each of the ten provinces and three territories of Canada. Keep your choice of data collection consistent for all lakes. On the map provided, label the origin and x and y axis. Plot your cities, and identify and label your coordinates beside each city. Using the record low temperatures, determine the mean, median, mode and range of your data. Identify any outliers and the impact they have on the measures of central tendency. Using the record high temperatures, determine the mean, median, mode and range of your data. Identify any outliers and the impact they have on the measures of central tendency. Draw your lakes on the map displaying the approximate location, size and shape based on your research. Estimate the coordinates of the center of the each lake, and record beside the lake on your map. Using your lake statistics to determine the mean, median, mode and range. Copy and complete the following table representing the date for each of your lakes: LAKE STATISTIC DECIMAL EQUIVALENT PERCENT CENTRAL ANGLE TOTALS: Create a circle graph representing your lake statistics. (Reminder: color, label/legend, title, and percent must all be included in your graph.) Choose a city or lake and research to find out about the tourist attractions, interesting facts and/or activities that can be done there. Create a brief visual presentation (ex. Powerpoint, commercial, Prezi) that will highlight this location and sell it as a “staycation” and tourist destination. You are looking at 24 of your 26 cities. What percent of your data is this? How do you know that these 24 cities can be divided into equal groups of 2, 3, 4, 6, and 8? Why can’t you divide it by zero? 2013 AMS Math 7 Page 6 How many cities would you need to add or subtract to divide the total evenly into groups of 5, 9, and 10? What is the smallest number of cities that can be evenly divided into groups of 2, 3, 4, 5, 6, 8, 9, AND 10? Explain or show your thinking. LEVEL III ASSESSMENT: CRITERIA STUDENT TEACHER I researched and recorded city population information. I researched and recorded record temperatures for five cities. I researched and recorded lake data. I labeled the origin and x and y axis on the Canada map. I plotted cities on the map, and included coordinates. I calculated central tendencies and ranges. I drew the lakes on the map. I calculated the decimal and percent equivalents in the table. I constructed a circle graph. I labeled the approximate lake center coordinates on the map. I created a visual presentation for one destination. I used divisibility rules to create equal groups of 2, 3, 4, 5, 6, 8, 9, and 10. 2013 AMS Math 7 Page 7 Geographic Extremes Project Research: CITY NAME, PROVINCE/TERRITORY PROVINCE/TERRITORY 2013 AMS Math 7 CITY POPULATION LAKE NAME RECORD HIGH TEMPURATURE (5) RECORD LOW TEMPERATURE (5) LAKE STATISTIC Page 8 2013 AMS Math 7 Page 9