Building
upon knowledge and skills gained in preceding
grades,
by the end of Grade 7, students will:
Standard 4.4
(Data
Analysis, Probability, and Discrete Mathematics)
All students will develop spatial sense and
the ability to use geometric properties, relationships,
and measurement to model, describe and analyze
phenomena.
Standard 4.4.7.A
Data
Analysis
Standard 4.4.7.A.1
Select
and use appropriate representations for sets of
data, and measures of central tendency (mean, median,
and mode).
· Type of display most appropriate for given
data
· Box-and-whisker plot, upper quartile, lower
quartile
· Scatter plot
· Calculators and computer used to record
and process information
Standard 4.4.7.A.2
Make
inferences and formulate and evaluate arguments
based on displays and analysis of data.
Standard 4.4.7.B
Probability
Standard 4.4.7.B.1
Interpret
probabilities as ratios, percents, and decimals.
Standard 4.4.7.B.2
Model
situations involving probability with simulations
(using spinners, dice, calculators and computers)
and theoretical models.
· Frequency, relative frequency
Standard 4.4.7.B.3
Estimate
probabilities and make predictions based on experimental
and theoretical probabilities.
Standard 4.4.7.B.4
Play
and analyze probability-based games, and discuss
the concepts of fairness and expected value.
Standard 4.4.7.C
Discrete
Mathematics-Systematic Listing and Counting
Standard 4.4.7.C.1
Apply the multiplication principle of counting.
· Permutations: ordered situations with replacement
(e.g., number of possible license plates) vs. ordered
situations without replacement (e.g., number of
possible slates of 3 class officers from a 23 student
class)
Standard 4.4.7.C.2
Explore
counting problems involving Venn diagrams with three
attributes (e.g., there are 15, 20, and 25 students
respectively in the chess club, the debating team,
and the engineering society; how many different
students belong to the three clubs if there are
6 students in chess and debating, 7 students in
chess and engineering, 8 students in debating and
engineering, and 2 students in all three?).
Standard 4.4.7.C.3
Apply techniques of systematic listing, counting,
and reasoning in a variety of different contexts.
Standard 4.4.7.D
Discrete
Mathematics–Vertex-Edge Graphs and Algorithms
Standard 4.4.7.D.1
Use vertex-edge graphs to represent and find solutions
to practical problems.
· Finding the shortest network connecting
specified sites
· Finding the shortest route on a map from
one site to another
· Finding the shortest circuit on a map that
makes a tour of specified sites
