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CMC
South Fall Conference 2016
Competency Mapping
Math Placement
October 15th, 2016
Jeanne Smith
Lisa Silveira
Department of Mathematics
Saddleback College
Copyright©2016
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LEVELS, COURSES, AND TOKENS
LEVELS, COURSES, AND TOKENS
COMPETENCIES FOR LEVEL 1
Competency
Write, read, and evaluate expressions in which
letters stand for numbers.
Use variables to represent numbers and write
expressions when solving a non contextual
problem
Identify parts of an expression, such as terms,
factors, coefficients, exponents, and base.
Construct a linear equation in one variable to
model a verbal description of a contextual
situation.
Simplify/evaluate numerical expressions using
order of operations.
Comp #
Relevancy
1
1
2
1
4
2
7
1
19
2
COMPETENCY
Understand that expressions that simplify
to zero in the denominator are undefined.
Understand that expressions that simplify
to zero in the numerator with a non-zero
denominator have a value of zero.
Simplify/evaluate algebraic expressions
using basic operations and order of
operations.
Solve contextual problems by evaluating
given formulas for specific variables, with
attention to proper units.
Solve non-contextual problems involving
simple proportions.
COMP RELEVANCY
#
20
1
21
1
22
1
57
2
76
1
COMPETENCY
COMP RELEVANCY
#
Recognize opposite signs of number as
indicating locations on opposite sides of 0.
80
3
Find and position integers and other
rational numbers on a vertical or
horizontal number line diagram.
81
3
Explain equivalence of fractions in special
cases, and compare fractions.
104
3
Compare two fractions.
105
3
Use decimal notation for fractions with
denominators 10, 100, or 1,000.
106
3
Add & subtract fractions with unlike
denominators.
107
3
COMPETENCY
Solve simple non-contextual problems
involving whole numbers, fractions,
decimals & percents.
Determine whether a given whole number
is prime or composite.
Determine the GCF & the LCM of whole
numbers.
Apply & extend previous understandings
to use arithmetic of fractions.
Solve non-contextual problems involving
the 4 operations with rational numbers.
COMP RELEVENCY
#
108
3
109
1
110
1
111
3
112
3
COMPETENCY
Find a percent of a quantity as a rate/100
Solve problems involving finding the
whole, given a part & the percent and
problems involving finding the part, given
a percent and the whole.
Estimate to solve contextual problems.
Solve non-contextual problems involving
the 4 operations with rational numbers.
COMP
#
113
114
RELEVANCY
115
116
2
3
2
2
Totals
n = 25
3(10)
2(6)
1(9)
40%
24%
36%
LEVELS, COURSES, AND TOKENS
LEVELS, COURSES, AND TOKENS
Contact
Information
Jeanne Smith
[email protected]
Lisa Silveira
[email protected]