| 1.
Demonstrate understanding of the different ways numbers
are represented and used in the real world. |
| MA.A.1.4.1 |
|
associate verbal names,
written word names, and standard numerals with integers,
rational numbers, irrational numbers, real numbers,
and complex numbers. |
|
1-1,
2-1, 2-7 |
| MA.A.1.4.2 |
|
understand the relative
size of integers, rational numbers, irrational numbers,
and real numbers. |
|
2-7 |
| MA.A.1.4.3 |
|
understand concrete and
symbolic representations of real and complex numbers
in real world situations. |
|
1-1 |
| MA.A.1.4.4 |
|
understand that numbers
can be represented in a variety of equivalent forms,
including integers, fractions, decimals, percents,
scientific notation, exponents, radicals, absolute
value, and logarithms. |
|
1-1,
2-1, 2-7,
3-7,
6-5, 8-1,
8-2, 8-3,
12-1 |
| 2.
Demonstrate understanding of number systems. |
| MA.A.2.4.1 |
|
understand and use
the basic concepts of limits and infinity. |
|
10-7 |
| MA.A.2.4.2 |
|
understand and use the
real number system. |
|
1-2,
1-3, 1-4,
1-5,
1-6, 2-1,
2-7 |
| 3.
Demonstrate understanding of the effects of operations
on numbers and the relationships among these operations,
select appropriate operations, and compute for problem
solving. |
| MA.A.3.4.1 |
|
understand and explain
the effects of addition, subtraction, multiplication,
and division on real numbers, including square roots,
exponents, and appropriate inverse relationships. |
|
1-2,
2-2, 2-3,
2-4,
2-7, 8-1,
8-2, 12-1,
12-2, 12-3 |
| MA.A.3.4.2 |
|
select and justify alternative
strategies, such as using properties of numbers,
including inverse, identity, distributive, associative,
and transitive, that allow operational shortcuts
for computational procedures in real world or mathematical
problems. |
|
1-4,
1-5, 1-6,
2-3,
2-4, 8-7,
8-8 |
| MA.A.3.4.3 |
|
add, subtract, multiply,
and divide real numbers, including square roots
and exponents, using appropriate methods of computing,
such as mental mathematics, paper and pencil, and
calculator. |
|
1-2,
1-3, 1-4,
1-5,
1-6, 2-2,
2-3, 2-4,
8-1, 8-2,
8-5, 8-6,
8-7, 8-8,
12-1, 12-2,
12-3 |
| 4.
Use estimation in problem solving and computation. |
| MA.A.4.4.1 |
|
use estimation strategies
in complex situations to predict results and to
check the reasonableness of results. |
|
1-3 |
| 5.
Demonstrate understanding and apply theories related to
numbers. |
| MA.A.5.4.1 |
|
apply special number relationships
such as sequences and series to real world
problems. |
|
4-7,
4-8, 10-7 |
| 6.
Measure quantities in the real world and use the measures
to solve problems. |
| MA.B.1.4.1 |
|
use concrete and graphic
models to derive formulas for finding perimeter,
area, surface area, circumference, and volume of
two and three dimensional shapes, including rectangular
solids, cylinders, cones, and pyramids. |
|
3-1,
3-8 |
| MA.B.1.4.2 |
|
use concrete and graphic
models to derive formulas for finding rate, distance,
time, angle measures, and arc lengths. |
|
3-6,
3-7, 12-5,
12-7 |
| MA.B.1.4.3 |
|
relate the concepts of
measurement to similarity and proportionality in
real world situations. |
|
12-6 |
| 7.
Compare, contrast, and convert within systems of measurement
(both standard/nonstandard and metric/customary). |
| MA.B.2.4.1 |
|
select and use direct
(measured) and indirect (not measured) methods of
measurement as appropriate. |
|
11-3,
11-4 |
| MA.B.2.4.2 |
|
solve real world problems
involving rated measures (miles per hour, feet per
second). |
|
3-7,
3-8, 3-9,
7-4,
11-3, 11-4,
12-1,
12-2, 12-3 |
| 8.
Estimate measurements in real world problem situations. |
| MA.B.3.4.1 |
|
solve real world and mathematical
problems involving estimates of measurements, including
length, time, weight/mass, temperature, money, perimeter,
area, and volume and estimate the effects of measurement
errors on calculations. |
|
|
| 9.
Visualize and illustrate ways in which shapes can be combined,
subdivided, and changed. |
| MA.C.2.4.1 |
|
understand geometric concepts
such as perpendicularity, parallelism, tangency,
congruency, similarity, reflections, symmetry, and
transformations including flips, slides, turns,
enlargements, rotations, and fractals. |
|
4-2,
5-6, 7-1,
10-1,
12-6 |
| 10.
Use coordinate geometry to locate objects in two dimensions
and to describe objects algebraically. |
| MA.C.3.4.1 |
|
represent and apply geometric
properties and relationships to solve real world
and mathematical problems including ratio, proportion,
and properties of right triangle trigonometry. |
|
12-4,
12-6, 12-7 |
| MA.C.3.4.2 |
|
using a rectangular coordinate
system (graph), apply and algebraically verify properties
of two- and three- dimensional figures, including
distance, midpoint, slope, parallelism, and perpendicularity. |
|
4-1,
5-1, 5-6,
12-5 |
| 11.
Describe, analyze, and generalize a wide variety of patterns,
relations, and functions. |
| MA.D.1.4.1 |
|
describe, analyze, and
generalize relationships, patterns, and functions
using words, symbols, variables, tables, and graphs. |
|
1-8,
3-1, 3-2,
3-3,
3-4, 3-5,
3-6, 3-7,
3-8, 3-9,
4-3, 4-4,
4-5, 4-6,
4-7, 4
8,
10-1, 10-5,
10-7 |
| MA.D.1.4.2 |
|
determine the impact when
changing parameters of given functions. |
|
|
| 12.
Use expressions, equations, inequalities, graphs, and
formulas to represent and interpret situations. |
| MA.D.2.4.1 |
|
represent real world problem
situations using finite graphs, matrices, sequences,
series, and recursive relations. |
|
4-3,
4-4, 4-7,
4-8,
6-1, 6-2,
6-3, 6-6,
10-1, 10-7,
13-2 |
| MA.D.2.4.2 |
|
use systems of equations
and inequalities to solve real world problems graphically,
algebraically, and with matrices. |
|
7-1,
7-2, 7-3,
7-4,
7-5 |
| 13.
Demonstrate understanding and use the tools of data analysis
for managing information. |
| MA.E.1.4.1 |
|
interpret data that has
been collected, organized, and displayed in charts,
tables, and plots. |
|
1-9,
2-5, 13-2,
13-3,
13-5, 14-4,
14-5 |
| MA.E.1.4.2 |
|
calculate measures of
central tendency (mean, median, and mode) and dispersion
(range, standard deviation and variance)
for complex sets of data and determine the most
meaningful measure to describe the data. |
|
2-5,
13-3, 13-4,
13-5 |
| MA.E.1.4.3 |
|
analyze real world data
and make predictions of larger populations by applying
formulas to calculate measures of central tendency
and dispersion using the sample population data
and using appropriate technology, including calculators
and computers. |
|
2-5,
13-1, 13-3,
13-4,
13-5 |
| 14.
Identify patterns and make predictions from an orderly
display of data using concepts of probability and statistics. |
| MA.E.2.4.1 |
|
determine probabilities
using counting procedures, tables, tree diagrams
and formulas for permutations and combinations. |
|
2-6,
14-1, 14-2,
14-3,
14-4, 14-5 |
| MA.E.2.4.2 |
|
determine the probability
for simple and compound events as well as independent
and dependent events. |
|
2-6,
14-3, 14-4,
14-5 |
| 15.
Use statistical methods to make inferences and valid arguments
about real world situations. |
| MA.E.3.4.1 |
|
design and perform real
world statistical experiments that involve more
than one variable, then analyze results and report
findings. |
|
|
| MA.E.3.4.2 |
|
explain the limitations
of using statistical techniques and data in making
inferences and valid arguments. |
|
13-1 |
|
Extra Examples
—FCAT
Answer Sheet