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