- Constructs, reads and interprets displays
of data including tables, charts, pictographs, and bar graphs
- Generates, analyzes, and makes predictions
based on data obtained from surveys and chance devices (e.g. spinners and dice)
- Solves problems using various strategies
for making combinations
- Explores and solves problems generated
from school, home, and community situations using concrete objects or manipulative
materials
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- Reads and constructs displays of data
using the appropriate techniques (e.g. line graphs, circle graphs, scatter plots, box
plots, stem and leaf plots) and the appropriate technology
- Displays and uses measures of central
tendency, such as mean, median and mode, and measures of variability, such as range and
quartiles
- Formulates hypotheses, draws conclusions
and makes convincing arguments that are based on data analysis
- Conducts experiments or simulations to
determine probabilities
- Makes predictions and compares results
using both experimental and theoretical probability drawn from real-world problems (e.g.
uses combinations, permutations to compare and predict results)
- Uses experimental and theoretical
probability to represent and solve problems involving uncertainty
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- Designs a statistical experiment to study
a problem, conducts the experiment, and interprets and communicates the results using the
appropriate technology (e.g. graphing calculators or computer software)
- Analyzes statistical claims for erroneous
conclusions or distortions
- Draws conclusions about distributions of
data based on the analysis of statistical summaries (e.g. combination of mean and standard
deviation, and differences between the mean and median)
- Describes the normal curve in general
terms and uses is properties to answer questions about sets of data that are assumed to be
normally distributed
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For students continuing their mathematics
education, what they know and are able to do may include:
- Fits curves to scatter plots to determine
the strength of the relationship between two data sets and to make predictions
- Creates and interprets discrete and
continuous probability distributions and understands their application to real-world
situations (e.g. insurance)
- Creates and interprets discrete and
continuous probability distributions and understands their application to real-world
situations (e.g. insurance)
- Determines and describes the effect of
sample size on results of statistical surveys using experiments and simulations
- Uses combinations and permutations to
solve real-world problems using formal methods
- Uses a Bernoulli experiment to determine
probabilities for experiments with exactly two outcomes
- Obtains confidence intervals and tests
hypotheses using appropriate statistical methods
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