Elementary Mathematics Content III extends algebra content to include functions and algebraic
links with geometry and calculus, and addresses probability and statistics, with
attention to conjecture and justification.
Standard 8: Algebra
|
|
8A1.
|
Understands the order of operations.
|
|
6B2.
|
Understands operations with algebraic expressions and has knowledge of symbolic manipulators.
|
|
8E1.
|
Applies the order of operations to numerical and algebraic expressions.
|
|
8A2.
|
Understands the concept of variables.
|
|
8E2.
|
Identifies, completes, and extends patterns and sequences.
|
|
8A3.
|
Understands symbolic, numeric, and graphical representations of mathematical situations.
|
|
8E3.
|
Represents mathematical situations symbolically, numerically, and graphically.
|
|
8B1.
|
Understands the symbolic, numeric, graphical and verbal representations of relations
and functions and the relationships among them.
|
|
8F1.
|
Represents functions and relations in symbolic, numeric, graphical, and verbal forms.
|
|
8A4.
|
Understands the properties and operations of real number in an algebraic context.
|
|
8E4.
|
Applies properties and operations of real numbers in an algebraic context.
|
|
8A5.
|
Understands a wide range of modeling applications involving graphs, tree charts, and
other visual representations of data with multiple dimensions.
|
|
8B2.
|
Understands polynomial and exponential functions.
|
|
8C1.
|
Understands concepts of rates of change and patterns that lead to limits.
|
|
8E3.
|
Represents mathematical situations symbolically, numerically, and graphically.
|
|
8E5.
|
Solves number sentences involving variables.
|
|
8E6.
|
Translates word situations to algebraic sentences and solves them using algebra.
|
|
8E7.
|
Uses equations and inequalities as a means of solving practical applications.
|
|
8F2.
|
Finds and uses slopes and intercepts to construct, analyze, and interpret graphs of
equations and inequalities.
|
Standard 9: Geometry
|
|
9B.
|
Knows Euclidean and non-Euclidean geometry, coordinates geometry, graph theory,
and transformational geometry and the relationships among them.
|
|
9C2.
|
Understands the appropriate uses of different types of proof.
|
|
9E6.
|
Recognizes and uses relationships that exist between algebra and geometry.
|
|
9F1.
|
Makes and identifies mathematical conjectures and provides justification to support or
refute conjectures using
(a) algebraic, coordinate, and transformational methods
|
Standard 10: Probability/Statistics
|
|
10A.
|
Understands how to collect, organize and represent data to answer questions.
|
|
10A1.
|
Understands how to create tables, graphs, charts, pictures, and other visual representations.
|
|
10E1.
|
Creates tables, graphs, charts, pictures, and other visual representations of a set of
data.
|
|
10A2.
|
Understands simple random sampling and recognizes bias.
|
|
10E2.
|
Collects simple random samples and recognizes sample bias.
|
|
10A3.
|
Understands line to best fit.
|
|
10E3.
|
Uses visual techniques for finding, interpreting, and applying the line of best fit.
|
|
10A4.
|
Understands data trends and curves to best fit.
|
|
10B.
|
Understands summary statistics.
|
|
10B1.
|
Understands measures of central tendency, variation, and position.
|
|
10F1.
|
Uses measures of central tendency and variation to describe a set of data.
|
|
10B2.
|
Understands common distributions.
|
|
10F2.
|
Uses common distributions as appropriate to solve problems.
|
|
10D.
|
Understands counting techniques and probability.
|
|
10D1.
|
Understands fundamental counting principles, combinations, and permutations.
|
|
10H1.
|
Uses the fundamental counting principles, combinations, and permutations.
|
|
10H6.
|
Determines probabilities involving combinations and permutations.
|
|
10D2.
|
Understands probability and odds of events.
|
|
10H2.
|
Determines the probability and odds of events.
|
|
10D3.
|
Understands dependent and independent events.
|
|
10H5.
|
Computes probabilities for dependent and independent events.
|
|
10D4.
|
Understands the use of random variables to solve problems.
|
|
10H7.
|
Generates and interprets probability distributions for random variables.
|
|
10H3.
|
Analyzes problems situations (e.g. fairness of games, lotteries).
|
|
10H4.
|
Creates simulations to analyze simple theoretical or experimental probabilities
|
|
10C.
|
Understands how to interpret and predict the results of data analysis.
|
|
10C1.
|
Understands the design of observations and experiments to answer questions.
|
|
10C2.
|
Understands the concept of reliability and validity.
|
|
10C3.
|
Understands correlation and regression techniques.
|
|
10E.
|
Poses questions and collects, organizes and represents data to answer those questions.
|
|
10F.
|
Calculates, explains, and interprets summary statistics.
|
|
10G.
|
Predicts, calculates, interprets, and applies the results of data analysis.
|
|
10G1.
|
Develops a hypothesis based on a question or problem of interest and devises a plan
for the collection of data.
|
|
10G2.
|
Uses simple survey and sampling techniques.
|
|
10G3.
|
Collects, records, organizes, displays, summarizes, and interprets data.
|
|
10H.
|
Demonstrates and uses counting techniques and probability.
|
Go Back to page
-1-
-2-
-3-
-4- 
Back to Top