# DesCartes (Combined) Subject: Mathematics 2-5 Goal: Data Analysis, Statistics, and Probability

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1 DesCartes (Combined) Subject: Mathematics 2-5 Goal: Data Analysis, Statistics, and Probability

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3 RIT Score Range: Below 171 Below 171 Data Analysis and Statistics Solves simple problems based on data from tables* Compares data from simple graphs (e.g., largest, smallest, most often, least often) Probability New Vocabulary: dollar, fewest, longest, shortest New Signs and Symbols: \$ dollar sign, = is equal to Data Analysis and Statistics Interprets simple graphs or tables Interprets data using tally charts Reads and interprets data from a pictograph* Solves simple problems based on data from pictographs Displays data appropriately - bar graph - scale is 1 to 1* Solves simple problems based on data from bar graphs Compares data from simple graphs (e.g., largest, smallest, most often, least often) Probability using a table* New Vocabulary: fewer, less, quart, taller New Signs and Symbols: cm centimeter/centimetre, in. inch, tally mark

4 RIT Score Range: Below Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Solves simple problems based on data from tables* Compares data from simple graphs (e.g., largest, smallest, most often, least often) Interprets simple graphs or tables Interprets data using tally charts Reads and interprets data from a pictograph* Solves simple problems based on data from pictographs Displays data appropriately - bar graph - scale is 1 to 1* Solves simple problems based on data from bar graphs Compares data from simple graphs (e.g., largest, smallest, most often, least often) Probability Probability Probability using a table* Interprets simple graphs or tables Solves simple problems based on data from tally charts* Solves simple problems based on data from pictographs Reads and interprets data from a bar graph Solves simple problems based on data from bar graphs using a spinner with objects hidden in containers* New Vocabulary: dollar, fewest, longest, shortest New Vocabulary: fewer, less, quart, taller New Vocabulary: average, consecutive, lowest, most likely, New Signs and Symbols: \$ dollar sign, = is equal to New Signs and Symbols: cm centimeter/centimetre, in. inch, tally mark most often, spinner New Signs and Symbols: none

5 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Interprets simple graphs or tables Interprets simple graphs or tables Interprets data using tally charts Solves simple problems based on data from tally Reads and interprets data from a pictograph* charts* Solves simple problems based on data from Solves simple problems based on data from pictographs pictographs Displays data appropriately - bar graph - scale is 1 to 1* Reads and interprets data from a bar graph Solves simple problems based on data from bar graphs Solves simple problems based on data from bar graphs Compares data from simple graphs (e.g., largest, smallest, most often, least often) Probability Probability Probability using a table* New Vocabulary: fewer, less, quart, taller New Signs and Symbols: cm centimeter/centimetre, in. inch, tally mark using a spinner with objects hidden in containers* New Vocabulary: average, consecutive, lowest, most likely, most often, spinner New Signs and Symbols: none Solves problems using tables Solves problems using tally charts* Reads and interprets data from a bar graph Reads and interprets dual bar graphs* Reads and interprets simple line graphs Reads and interprets data given in percent form on a circle graph* Draws conclusions from data - tally charts or frequency tables* using a spinner with a dart board* New Vocabulary: line graph New Signs and Symbols: a.m., F Degrees Fahrenheit, g gram, lb pound, min minute, p.m., % percent, : used with time

6 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Interprets simple graphs or tables Solves simple problems based on data from tally charts* Solves simple problems based on data from pictographs Reads and interprets data from a bar graph Solves simple problems based on data from bar graphs Solves problems using tables Solves problems using tally charts* Reads and interprets data from a bar graph Reads and interprets dual bar graphs* Reads and interprets simple line graphs Reads and interprets data given in percent form on a circle graph* Draws conclusions from data - tally charts or frequency tables* Probability Probability Probability using a spinner with objects hidden in containers* using a spinner with a dart board* New Vocabulary: average, consecutive, lowest, most likely, most often, spinner New Signs and Symbols: none New Vocabulary: line graph New Signs and Symbols: a.m., F Degrees Fahrenheit, g gram, lb pound, min minute, p.m., % percent, : used with time Reads and interprets tables* Solves problems using tables Understands how the omission or duplication of data affects the interpretation of results from a pictograph* Organizes data to create simple bar graphs Solves problems using bar graphs Solves problems using dual bar graphs* Solves problems using line graphs* Displays data appropriately - simple circle graph - no calculations necessary* Reads and interprets data given in percent form on a circle graph* Interprets data given in circle graphs to solve simple Solves problems using Venn diagrams Draws conclusions from data - bar graphs Predicts from pictographs and bar graphs* Predicts from simple charts and tables Recognizes events that are certain, likely, unlikely, possible, or impossible* Uses the concept of chance to determine the likelihood of an event* using one or more coins using objects - must determine size of sample space New Vocabulary: bar graph, below, less likely, maximum, random, square mile, times New Signs and Symbols: ft feet, kg kilogram

7 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Solves problems using tables Solves problems using tally charts* Reads and interprets data from a bar graph Reads and interprets dual bar graphs* Reads and interprets simple line graphs Reads and interprets data given in percent form on a circle graph* Draws conclusions from data - tally charts or frequency tables* Reads and interprets tables* Solves problems using tables Understands how the omission or duplication of data affects the interpretation of results from a pictograph* Organizes data to create simple bar graphs Solves problems using bar graphs Solves problems using dual bar graphs* Solves problems using line graphs* Displays data appropriately - simple circle graph - no calculations necessary* Reads and interprets data given in percent form on a circle graph* Interprets data given in circle graphs to solve simple Solves problems using Venn diagrams Draws conclusions from data - bar graphs Predicts from pictographs and bar graphs* Predicts from simple charts and tables Probability Probability Probability using a spinner with a dart board* Recognizes events that are certain, likely, unlikely, possible, or impossible* Uses the concept of chance to determine the likelihood of an event* using one or more coins using objects - must determine size of sample space Solves problems using pictographs* Solves problems using bar graphs Solves problems using line graphs* Reads and interprets circle graphs* Interprets data given in circle graphs to solve simple Solves problems using circle graphs* Reads and interprets Venn diagrams Reads and interprets data in line plots* Determines the average (mean) of a simple set of data Solves simple problems involving mean Draws conclusions from data - charts* Predicts from pictographs and bar graphs* Predicts from plotted data* Uses systematic lists to represent problems* using one die Determines probability from a real-world situation - number of possible outcomes given Determines the probabilities for a simple experiment using a frequency table - must determine size of sample space Determines probability when drawing objects from containers - must determine size of sample space probability experiment using spinners Solves problems involving permutations Determines the number of possible combinations of given items Predicts the sample space, based on the outcome of an

8 New Vocabulary: line graph New Signs and Symbols: a.m., F Degrees Fahrenheit, g gram, lb pound, min minute, p.m., % percent, : used with time New Vocabulary: bar graph, below, less likely, maximum, random, square mile, times New Signs and Symbols: ft feet, kg kilogram experiment - tally sheet* Uses the results of probability experiments or events to predict future events* New Vocabulary: combinations, likelihood, line of best fit, line plot, mean, number cube, outcome, prove, systematic list, tails New Signs and Symbols: { } set notation, cent sign, hr hour

9 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Reads and interprets tables* Solves problems using pictographs* Solves problems using tables Solves problems using bar graphs Understands how the omission or duplication of data Solves problems using line graphs* affects the interpretation of results from a pictograph* Reads and interprets circle graphs* Organizes data to create simple bar graphs Interprets data given in circle graphs to solve simple Solves problems using bar graphs Solves problems using dual bar graphs* Solves problems using circle graphs* Solves problems using line graphs* Reads and interprets Venn diagrams Displays data appropriately - simple circle graph - no Reads and interprets data in line plots* calculations necessary* Determines the average (mean) of a simple set of data Reads and interprets data given in percent form on a Solves simple problems involving mean circle graph* Draws conclusions from data - charts* Interprets data given in circle graphs to solve simple Predicts from pictographs and bar graphs* Predicts from plotted data* Solves problems using Venn diagrams Draws conclusions from data - bar graphs Predicts from pictographs and bar graphs* Predicts from simple charts and tables Probability Probability Probability Recognizes events that are certain, likely, unlikely, possible, or impossible* Uses the concept of chance to determine the likelihood of an event* using one or more coins using objects - must determine size of sample space Uses systematic lists to represent problems* using one die Determines probability from a real-world situation - number of possible outcomes given Determines the probabilities for a simple experiment using a frequency table - must determine size of sample space Determines probability when drawing objects from containers - must determine size of sample space probability experiment using spinners Solves problems involving permutations Determines the number of possible combinations of given items Predicts the sample space, based on the outcome of an Determines the most accurate sample for a situation* Interprets data given in tables to solve problems Interprets data given in circle graphs to solve complex Solves problems using circle graphs* Determines the average (mean) of a simple set of data Determines the mean of a complex set of data (e.g., fractions, integers, many data points) Estimates the mean from a set of data* Solves simple problems involving mean Solves problems with missing data when the mean is known Determines the middle value (median) from a simple set of data* Determines the mode of a set of data Draws conclusions from data - charts* Predicts from line graphs* Predicts from plotted data* Determines likelihood using tree diagrams* Determines probability - must determine size of sample space probability experiment using spinners probability experiment using dart boards* Solves problems involving combinations Determines the number of possible combinations of given items Determines the outcome of simple multiple events* Uses previous results to predict future events* Computes probability as a fraction, given equivalent forms* Given probability as a decimal, estimates probability as a fraction*

10 New Vocabulary: bar graph, below, less likely, maximum, random, square mile, times New Signs and Symbols: ft feet, kg kilogram experiment - tally sheet* Uses the results of probability experiments or events to predict future events* New Vocabulary: combinations, likelihood, line of best fit, line plot, mean, number cube, outcome, prove, systematic list, tails New Signs and Symbols: { } set notation, cent sign, hr hour New Vocabulary: frequency table, median, mode, survey New Signs and Symbols: h hour (SI metric), - negative number, oz ounce, P( ) probability, s second (SI metric)

11 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Solves problems using pictographs* Solves problems using bar graphs Solves problems using line graphs* Reads and interprets circle graphs* Interprets data given in circle graphs to solve simple Solves problems using circle graphs* Reads and interprets Venn diagrams Reads and interprets data in line plots* Determines the average (mean) of a simple set of data Solves simple problems involving mean Draws conclusions from data - charts* Predicts from pictographs and bar graphs* Predicts from plotted data* Determines the most accurate sample for a situation* Interprets data given in tables to solve problems Interprets data given in circle graphs to solve complex Solves problems using circle graphs* Determines the average (mean) of a simple set of data Determines the mean of a complex set of data (e.g., fractions, integers, many data points) Estimates the mean from a set of data* Solves simple problems involving mean Solves problems with missing data when the mean is known Determines the middle value (median) from a simple set of data* Determines the mode of a set of data Draws conclusions from data - charts* Predicts from line graphs* Predicts from plotted data* Probability Probability Probability Uses systematic lists to represent problems* using one die Determines probability from a real-world situation - number of possible outcomes given Determines the probabilities for a simple experiment using a frequency table - must determine size of sample space Determines likelihood using tree diagrams* Determines probability - must determine size of sample space probability experiment using spinners probability experiment using dart boards* Solves problems involving combinations Determines probability when drawing objects from Determines the number of possible combinations of containers - must determine size of sample space given items Determines the outcome of simple multiple events* probability experiment using spinners Uses previous results to predict future events* Solves problems involving permutations Computes probability as a fraction, given equivalent Determines the number of possible combinations of forms* Organizes data using tables* Interprets data given in tables to solve problems Determines appropriate intervals and/or scale for a bar graph* Interprets data given in horizontal and vertical bar graphs to solve problems Interprets data given in line graphs to solve problems* Interprets data given in circle graphs to solve complex Determines the mean of a complex set of data (e.g., fractions, integers, many data points) Estimates the mean from a set of data* Solves problems with missing data when the mean is known Determines the median from a complex set of data (e.g., not in order, many data points) Determines the range of a complex set of data Predicts from an analysis of data and statistical measures* Predicts from charts and tables Determines certainty from a set data* Determines sample space given probability of all possible outcomes* Determines probability - must determine size of sample space Modifies sample space to change the probability of an event*

12 given items Predicts the sample space, based on the outcome of an experiment - tally sheet* Uses the results of probability experiments or events to predict future events* New Vocabulary: combinations, likelihood, line of best fit, line plot, mean, number cube, outcome, prove, systematic list, tails New Signs and Symbols: { } set notation, cent sign, hr hour Given probability as a decimal, estimates probability as a fraction* New Vocabulary: frequency table, median, mode, survey New Signs and Symbols: h hour (SI metric), - negative number, oz ounce, P( ) probability, s second (SI metric) New Vocabulary: average salary, meters per minute, middle, sample, successive New Signs and Symbols: \$ dollar sign, C Degrees Celsius, m meter/metre, ml milliliter/millilitre,? next in sequence

13 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Determines the most accurate sample for a situation* Organizes data using tables* Interprets data given in tables to solve problems Interprets data given in tables to solve problems Interprets data given in circle graphs to solve complex Determines appropriate intervals and/or scale for a bar graph* Solves problems using circle graphs* Interprets data given in horizontal and vertical bar Determines the average (mean) of a simple set of data graphs to solve problems Determines the mean of a complex set of data (e.g., Interprets data given in line graphs to solve problems* fractions, integers, many data points) Interprets data given in circle graphs to solve complex Estimates the mean from a set of data* Solves simple problems involving mean Determines the mean of a complex set of data (e.g., Solves problems with missing data when the mean is fractions, integers, many data points) known Estimates the mean from a set of data* Determines the middle value (median) from a simple Solves problems with missing data when the mean is set of data* known Determines the mode of a set of data Determines the median from a complex set of data Draws conclusions from data - charts* (e.g., not in order, many data points) Predicts from line graphs* Determines the range of a complex set of data Predicts from plotted data* Predicts from an analysis of data and statistical measures* Predicts from charts and tables Probability Probability Probability Determines likelihood using tree diagrams* Determines certainty from a set data* Determines probability - must determine size of Determines sample space given probability of all sample space possible outcomes* Determines probability - must determine size of probability experiment using spinners sample space Modifies sample space to change the probability of an probability experiment using dart boards* event* Solves problems involving combinations Determines the number of possible combinations of given items Determines the outcome of simple multiple events* Uses previous results to predict future events* Computes probability as a fraction, given equivalent forms* Reads and interprets data in tables Determines the range of a complex set of data Predicts from an analysis of data and statistical measures* Determines certainty from a set data* Determines probability using counting procedures* Determines probability using tables Determines probability using an area model Uses theoretical probability to predict future events

14 Given probability as a decimal, estimates probability as a fraction* New Vocabulary: frequency table, median, mode, survey New Signs and Symbols: h hour (SI metric), - negative number, oz ounce, P( ) probability, s second (SI metric) New Vocabulary: average salary, meters per minute, middle, sample, successive New Signs and Symbols: \$ dollar sign, C Degrees Celsius, m meter/metre, ml milliliter/millilitre,? next in sequence New Vocabulary: mileage table New Signs and Symbols: degrees, E east, multiplication, NE northeast, NNE north northeast, N north, NW northwest, S south, W west

15 RIT Score Range: Data Analysis and Statistics Data Analysis and Statistics Data Analysis and Statistics Organizes data using tables* Reads and interprets data in tables Interprets data given in tables to solve problems Determines the range of a complex set of data Determines appropriate intervals and/or scale for a bar Predicts from an analysis of data and statistical graph* measures* Interprets data given in horizontal and vertical bar graphs to solve problems Interprets data given in line graphs to solve problems* Interprets data given in circle graphs to solve complex Determines the mean of a complex set of data (e.g., fractions, integers, many data points) Estimates the mean from a set of data* Solves problems with missing data when the mean is known Determines the median from a complex set of data (e.g., not in order, many data points) Determines the range of a complex set of data Predicts from an analysis of data and statistical measures* Predicts from charts and tables Above 250 Uses random sampling techniques* Displays data appropriately - circle graph - calculations necessary* Solves complex problems involving mean* Probability Probability Probability Determines certainty from a set data* Determines sample space given probability of all possible outcomes* Determines certainty from a set data* Determines probability using counting procedures* Determines probability using tables Determines certainty from a set data* Determines probability - must determine size of Determines probability using an area model sample space Uses theoretical probability to predict future events Modifies sample space to change the probability of an event* New Vocabulary: average salary, meters per minute, middle, sample, successive New Signs and Symbols: \$ dollar sign, C Degrees Celsius, m meter/metre, ml milliliter/millilitre,? next in sequence New Vocabulary: mileage table New Signs and Symbols: degrees, E east, multiplication, NE northeast, NNE north northeast, N north, NW northwest, S south, W west New Vocabulary: none New Signs and Symbols: none

16 RIT Score Range: Above Data Analysis and Statistics Reads and interprets data in tables Determines the range of a complex set of data Predicts from an analysis of data and statistical measures* Probability Determines certainty from a set data* Determines probability using counting procedures* Determines probability using tables Determines probability using an area model Uses theoretical probability to predict future events New Vocabulary: mileage table New Signs and Symbols: degrees, E east, multiplication, NE northeast, NNE north northeast, N north, NW northwest, S south, W west Above 250 Data Analysis and Statistics Uses random sampling techniques* Displays data appropriately - circle graph - calculations necessary* Solves complex problems involving mean* Probability Determines certainty from a set data* New Vocabulary: none New Signs and Symbols: none

### DesCartes (Combined) Subject: Mathematics Goal: Data Analysis, Statistics, and Probability

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