**SATURDAY
ACADEMY MATH TOPICS ALIGNMENT**

Below
are the math topics that will be integrated into the Environmental Science
(Climate Change) curriculum for Saturday Academy 2011-2012. Also below are the district (middle and high
school) standards that align with each topic.

NOTE: Please use this information as a foundation
to the integration of the math into the curriculum. As we venture into the curriculum and
potentially discover other areas of interests, then we can make modifications.

__STATISTICS__

(middle/high
school)Determine and explain
the measures of central tendency (mode, median, mean), interpret differences in
shape, center, and spread in the context of the data sets, and explain effects
of extreme data points (outliers). (▲M8.4.2.K3, 10408, CC.S.ID.3, ACT)

(middle/high
school)Understand and
explain the difference between and identify situations with independent and
dependent events in an experiment, simulation, or situation. (CC.7.SP.8)

__GRAPHING__

(middle/high
school)Understand that the
graph of a line on the coordinate plane is an infinite collection of points
that satisfy an equation in two variables. Use that understanding to find
points on a line when given an equation or test whether given points are a
solution for an equation, both by hand and by using a calculator. (▲M8.3.4.K1b,
CC.A.REI.10, ACT)

(middle/high
school)Know and explain the
use m and b as parameters in y = mx + b. Identify how constants and
coefficients affect a linear graph and interpret the meaning of the intercepts
and slope in a real-world situation. (rMHS.2.3.A2, rMHS.2.3.K6, 10210/10304)

(middle/high
school)Translate between
written, numeric, algebraic, geometric, tabular, and symbolic representations
of linear relationships of real-world problems. (▲M8.2.3.A3)

(middle/high
school)Determine if a given
graphical, algebraic, or geometric model is an accurate representation of a
given real-world situation. (▲M8.2.4.A2)

(**NC**) Create, represent, and solve linear equations from real-world
problems; graph equations on coordinate axes with labels and scales.
(▲MHS.2.2.A2, 20201/20301, CC.A.CED.2, CC.A.REI.10, ACT)

__DATA
INTERPRETATION__

(middle/high
school)Identify independent
and dependent variables within a given situation. Analyze the relationship
between the dependent and independent variables using graphs and tables, and
relate these to the equation. (CC.6.EE.9)

Perform computations
in data from tables and graphs. (CC.S.ID.5, ACT)

Understand and
explain why a certain measure of central tendency is more appropriate based on
the shape of data distribution. Be able
to calculate mean, median, inter-quartile range and standard deviation and
explain their meaningfulness in the context of real-world data sets. Explain
the effect of outliers on measures of central tendency. (▲MHS.4.2.K4,
20406/20409, CC.S.ID.2, CC.SID.3, ACT)

Read, create,
analyze, and represent two sets of quantitative data. (▲MHS.4.2.A1,
▲MHS.4.2.K5, 20401/20402/20403/20404/20405, ACT)

- charts,
tables, and frequency tables
- bar, line, and
circle graphs
- Venn diagrams
- stem-and-leaf
plots
- scatter plots
(line of best fit and predictions)
- box-and-whisker plot

Explain how bias,
measurement error, and misleading graphs can affect the interpretation of data.

(CC.S.IC.1, ACT)

Identify domain,
range, independent variable, and dependent variable of linear, constant and
quadratic relationships given a graph, table or equation. (20209, CC.F.IF.1)

__PROBABILITY__

(middle/high
school)Find and represent
probabilities of compound events using organized lists, tables, tree diagrams,
and simulation. (▲M8.4.1.K3, ▲M8.4.1.A4, 10403/10404, CC.7.SP.8a-c, ACT)

(middle/high
school)Find the conditional
and joint probability of two dependent events in an experiment, simulation, or
situation. (CC.7.SP.8, ACT)

Interpret differences
in center and spread of the data sets, looking at the range and the shape of
the distribution including symmetrical, skewed, and uniform distribution,
accounting for possible effects of extreme data points (outliers). (20411,
CC.S.ID.3, ACT)

__SOLVING EQUATIONS__

Generate and solve
multi-step real-world problems in applications such as business, chemistry, and
physics with real numbers and algebraic expressions using computational
procedures including roots, powers and scientific notation. (▲MHS.1.4.A1a,
20109, CC.8.EE.4, ACT)

(middle/high
school) Solve equations by
constructing a viable argument to justify the solution; explain each step as
following from the previous step including using the names of mathematical
properties. (▲M8.1.2.A1a,d, ▲M8.1.2.A1b,d, rMHS.1.2.K3a, rMHS.1.2.K3b,e, 10111/10112, CC.A.REI.1)

(middle/high
school)Performs addition,
subtraction, multiplication, and division of integers. (▲M8.1.4.K2a, ACT)

(middle/high
school)Evaluate expressions
that require using order of operations at specific values. Include: absolute value, exponents up to third degree, expressions with at
most four operations, and formulas used in real world problems. Explain order of operations in conventional
order when there are no parentheses to specify a particular order. (▲M8.1.4.K2b,
10104, CC.6.EE.2c, ACT)

(middle/high
school)Generate and/or solve
one- and two-step real-world problems using computational procedures and
mathematical concepts with rational numbers, the irrational number pi as an
approximation, and applications of percents. (▲M8.1.4.A1a-c, 10105)

__CONVERSIONS__

**NOT
SPECIFICALLY FOUND AS A MATH STANDARD, WHICH COULD MEAN THAT IT’S PROBABLY
FOUND IN THE DISTRICT SCIENCE STANDARDS.
DEFINITELY NEEDS TO BE INTEGRATED.**

__GEOMETRY__

(middle/high
school)Solve real-world
problems using the properties of corresponding parts of similar and congruent
figures. Include: scale drawings, map
reading, proportions, or indirect measurements. (▲M8.3.1.A1a, 10312)

Use proportional
relationships to solve multi-step percent problems. Examples: simple interest,
tax, markups and markdowns, gratuities and commissions, fees, percent of a
number, number when a percent of a number is given, percent increase and
decrease, percent error. (▲MHS.1.4.A1d, 20105/20110, CC.7.RP.3, ACT)