Click on the topic to view the particular table of information.

• Number Sense
• Algebra and Functions
• Measurement and Geometry
• Statistics, Data Analysis and Probability
• Mathematical Reasoning

Statistics, Data Analysis and Probability

SCOPE AND SEQUENCE
STATISTICS, DATA ANALYSIS AND PROBABILITY X = TEACH   /    M = REINFORCE & MAINTAIN
STATISTIC AND DATA ANALYSIS	K	1	2	3	4	5	6
COLLECTING DATA
Use systematic way to record			X	X	X	M	M
Pose question/collect data	X	X	X	X	X	M	M
Formulate question			X	X	X	M	M
Analyze question					X	X	X
Conduct survey		X	X	X	X	X	X
Sampling							X
determine when appropriate							X
bias/errors							X
select in different ways (convenience, random, systematic)							X
determine most representative							X
ORGANIZING DATA
Sort objects/data and describe categories	X	X	X	X
Tally table/chart	X	X	X	X	X	X	M
Frequency table/chart			X	X	X	X	M
cumulative frequency					X	X	M
Organized list			X	X	X	X	X
Stem-and-leaf plot					X	X	M
Line plot				X	X	X	M
DISPLAYING DATA
Objects/pictures	X	X
Picture graph	X	X	X
Pictograph			X	X	M	M
Bar graph	X	X	X	X	X	X	M
Line graph				X	X	X	M
identify ordered pairs				X	X	X	M
write ordered pairs				X	X	X	M
graph ordered pairs					X	X	X
Circle graph					X	X	X
Histogram						X	X
Box-and-whisker graph							X
Scatterplot							X
Represent same data in different ways	X	X	X	X	X	X	X
Choose an appropriate graph					X	X	X
ANALYZING DATA
Ask/answer questions about data	X	X	X	X	X	M	M
Interpret one-variable graphs	X	X	X	X	X	X	M
Interpret two-variable graphs					X	X	X
Interpret tables	X	X	X	X	X	X	M
Compare data		X	X	X	X	X	M
Compare data sets of different sizes						X	M
Compare/choose appropriate representations					X	X	X
Identify misleading graphs							X
Choose scale					X	X	X
Identify outliers					X	X	X
Find range					X	X	M
Measures of central tendency
find mean (average)					X	X	M
find median					X	X	M
find mode					X	X	M
compare/analyze measures						X	X
determine effects on measures of adding data						X	X
determine effects of outliers							X
Relate to conclusions the way data is displayed						X	X
Evaluate conclusions based on data					X	X	X
Make predictions				X	X	X	X
Misleading graphs							X
PATTERNS
GEOMETRIC PATTERNS
Identify and describe	X	X	X	X	X	X	X
Extend	X	X	X	X	X	X	X
Generate	X	X	X	X	X	X	X
COLOR/NUMERIC/RHYTHMIC PATTERNS
Write a rule					X	X	X
Identify and describe	X	X	X	X	X	X	X
Extend	X	X	X	X	X	X	X
Generate	X	X	X	X	X	X	X
LINEAR NUMBER
Identify and describe	X	X	X	X	X	X	X
Extend	X	X	X	X	X	X	X
Generate			X	X	X	X	X
PROBABILITY
CONCEPTS
Likelihood of events				X	X	X	X
certain, likely, unlikely, impossible				X	X	X	X
more likely, equally likely, less likely				X	X	X	X
Fairness				X	X	X	M
Randomness							X
FINDING OUTCOMES
Outcomes
Tree diagram
Table/grid
Sample spaces
Combinations
Fundamental Counting Principle
THEORETICAL PROBABILITY
Meaning
Simple events
Compound events
Independent/dependent events
EXPERIMENTAL PROBABILITY
Record possible outcomes
organized list
table/grid
tree diagram
Record outcomes during trials
Summarize/display results
Express verbally and numerically
Predict based on experiment or prior data
Simulations
Random numbers
REPRESENT PROBABILITY
Verbally and numerically
Ratio, proportion, decimal, percent
Verify reasonableness
Of event not occurring (1 - P)

return to top