 Extra Examples—TCAP
Extra Examples shows you additional worked-out examples that mimic the ones in your book.
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| State
Performance Indicator |
Student
Edition Lesson(s) |
| 8.1.spi.1. |
identify the opposite and the
reciprocal of a rational number; |
|
2-2,
5-4 |
| 8.1.spi.2. |
compare rational numbers using
the appropriate symbol (<, >, =). |
|
2-1,
4-8,
5-1,
5-6,
6-4,
9-2 |
| 8.1.spi.3. |
use ratios and proportions to
represent real-world situations (i.e., scale drawings,
probability); |
|
6-2,
6-3,
6-5,
6-9,
9-7,
5-6,
12-9 |
| 8.1.spi.4. |
determine the approximate locations
of rational numbers on a number line; |
|
2-1,
4-8,
5-1,
5-6,
9-2 |
| 8.1.spi.5. |
determine
the square roots of perfect squares (< 169);
|
|
9-1 |
| 8.1.spi.6. |
work flexibly with fractions,
decimals, and percents to solve one- and two-step
word problems; |
|
|
| 8.1.spi.7. |
compute
efficiently and accurately with whole numbers, fractions,
decimals, and percents; |
|
|
| 8.1.spi.8. |
use
estimation strategies to select a reasonable solution
to a real-world problem involving computing with
rational numbers; |
|
1-1,
6-6,
9-1,
10-7 |
| 8.1.spi.9. |
calculate
rates involving cost per unit to determine the best
buy. |
|
6-1 |
| 8.1.spi.10. |
use
exponential, scientific, and calculator notation
to represent large numbers in real-world situations;
|
|
4-2,
4-7,
4-8,
9-1 |
| 8.1.spi.11. |
apply
order of operations in computing with rational numbers
using no more than two parentheses and exponents
1 and 2. |
|
1-2,
4-2 |
| 8.2.spi.1. |
generalize
a variety of patterns with symbolic rules;
|
|
1-1,
5-10 |
| 8.2.spi.2. |
evaluate
a first-degree algebraic expression given values
for two or more variables. |
|
1-3,
2-1,
2-3,
2-4, 2-5,
4-2,
4-7,
5-3,
5-4,
5-5,
5-7 |
| 8.2.spi.3. |
represent situations and solve
real-world problems using symbolic algebra; |
|
1-2,
1-3,
1-5,
1-6,
2-1,
2-2,
2-3,
2-4,
2-5,
3-3,
3-4,
3-5,
3-6,
5-9,
7-1,
7-2,
7-3,
7-4,
7-5,
7-6,
8-2,
8-3,
8-7,
8-9,
8-10,
13-1,
13-2,
13-3,
13-4,
13-5,
13-6 |
| 8.2.spi.4. |
connect symbolic expressions
and graphs of lines; |
|
8-2,
8-3,
8-6,
8-7,
8-8 |
| 8.2.spi.5. |
generate equivalent forms for
simple algebraic expressions; |
|
3-1,
3-2,
4-5,
4-6 |
| 8.2.spi.6. |
solve one- and two-step linear
equations involving integers; |
|
8-2,
8-3,
8-6,
8-7,
8-9 |
| 8.2.spi.7. |
apply given formulas to solve
real-world problems; |
|
3-7
6-5,
6-7,
9-6,
10-7,
10-8,
11-2,
11-3,
11-4,
11-5,
13-6 |
| 8.2.spi.8. |
interpret graphs which represent
rates of change. |
|
8-4,
8-5 |
| 8.2.spi.9. |
formulate multi-step equations
that represent relationships and real-world situations;
|
|
3-6,
5-9,
6-2,
6-3,
6-5,
6-7,
6-8,
7-1,
7-2,
7-6,
8-7,
8-8,
8-9 |
| 8.2.spi.10. |
solve one-step linear inequalities; |
|
8-10 |
| 8.2.spi.11. |
connect the appropriate graph
to a linear equation. |
|
8-2,
13-5 |
| 8.3.spi.1 |
classify
types of two- and three-dimensional geometric figures
using their defining properties; |
|
9-4,
10-2,
10-4,
10-6,
11-1 |
| 8.3.spi.2 |
use ordered pairs to describe
given points in a coordinate system. |
|
1-6,
1-7,
2-6,
8-2,
8-3,
8-4,
8-6,
10-3 |
| 8.3.spi.3 |
identify relationships among
angles (i.e., complementary, supplementary, interior,
exterior, vertical, corresponding); |
|
10-1 |
| 8.3.spi.4 |
Recognize similar geometric
figures; |
|
9-7 |
| 8.3.spi.5 |
determine
the measure of an angle of a triangle given the
measures of the other two angles; |
|
9-4 |
| 8.3.spi.6 |
apply relationships among angles
and side lengths of similar geometric figures; |
|
9-7,
11-6 |
| 8.3.spi.7 |
apply
spatial reasoning and visualization to solve real-world
problems. |
|
11-1,
11-2,
11-3,
11-4,
11-5 |
| 8.3.spi.8 |
apply
geometric ideas and relationships in areas outside
the mathematics classroom (i.e., art, science, everyday
life); |
|
10-6 |
| 8.3.spi.9 |
solve problems using angle relationships
(i.e., complementary, supplementary, interior, exterior,
vertical, corresponding). |
|
10-1 |
| 8.4.spi.1 |
select
units of appropriate size and type to measure angles,
perimeter, area, surface area, and volume;
|
|
7-2,
9-3,
10-5,
10-8,
11-2,
11-3,
11-4,
11-5 |
| 8.4.spi.2 |
convert from one unit to another
within the same system. |
|
5-3 |
| 8.4.spi.3 |
estimate length, perimeter,
circumference, area, and volume using a variety
of strategies; |
|
10-5,
10-7,
10-8,
11-2,
11-3,
11-4,
11-5 |
| 8.4.spi.4 |
apply formulas to find the area
of triangles, parallelograms, and trapezoids; |
|
10-5 |
| 8.4.spi.5 |
solve real-world problems involving
rate/time/distance (i.e., d = rt); |
|
3-7 |
| 8.4.spi.6 |
apply formulas to find the circumference
and area of circles; |
|
10-7 |
| 8.4.spi.7 |
estimate or find the area of
irregular and complex shapes. |
|
10-8 |
| 8.4.spi.8 |
solve problems involving scale
factors using ratios and proportions; |
|
6-3,
11-6 |
| 8.4.spi.9 |
solve real-world problems using
the Pythagorean Theorem (no radicals). |
|
9-5 |
| 8.5.spi.1 |
identify an appropriate sample
to test a given hypothesis. |
|
6-9 |
| 8.5.spi.2 |
interpret appropriate graphical
representations of data (i.e.., histograms, box
plots, scatterplots); |
|
1-7,
12-3,
12-4,
12-5 |
| 8.5.spi.3 |
determine the mean of a given
set of real-world data; |
|
5-8 |
| 8.5.spi.4 |
connect data sets and their
graphical representations (i.e., histograms, stem-and-leaf
plots, box plots, scatterplots); |
|
1-7,
8-8,
12-1,
12-3,
12-4,
12-5 |
| 8.5.spi.5 |
make conjectures and predictions
based on data; |
|
1-1,
1-7,
5-8,
6-9,
8-8 |
| 8.5.spi.6 |
connect the symbolic representation
of a probability to an experiment. |
|
6-9 |
| 8.5.spi.7 |
determine the median of a given
set of real-world data (even number of data); |
|
5-8 |
| 8.5.spi.8 |
recognize misleading presentations
of data. |
|
12-5 |
|
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