 Extra Examples Grade 7—SOL
Extra Examples
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| Standards of Learning |
Student Edition Lesson(s) |
| Number
and Number Sense |
| 7.1 |
The student will compare,
order, and determine equivalent relationships between
fractions, decimals, and percents, including use
of scientific notation for numbers greater than
10. |
|
4-8,
5-1, 5-2,
5-6, 6-2,
6-4, 9-2
|
| 7.2 |
The student will simplify
expressions that contain rational numbers (whole
numbers, fractions, and decimals) and positive exponents,
using order of operations, mental mathematics, and
appropriate tools. |
|
1-2,
1-4, 2-2,
2-3, 2-4,
2-5, 3-1,
4-2, 4-5,
4-6, 5-3,
5-4, 5-5,
5-7, 5-9,
9-1 |
| 7.3 |
The student will identify and
apply the following properties of operations with
real numbers: |
|
|
| 7.3a
|
the commutative and associative
properties for addition and multiplication; |
|
1-4,
2-2, 2-4,
3-2, 3-3,
3-6, 4-6
|
| 7.3b
|
the distributive property; |
|
3-1,
3-2, 3-7,
4-1, 4-4,
7-2 |
| 7.3c |
the additive and multiplicative
identity properties; |
|
1-4,
3-2, 3-3,
3-4, 3-5
|
| 7.3d
|
the additive and multiplicative
inverse properties; and |
|
2-2,
3-3, 5-4
|
| 7.3e
|
the multiplicative property
of zero. |
|
1-4
|
| Computation
and Estimation |
| 7.4a
|
The student will solve
practical problems using rational numbers (whole
numbers, fractions, decimals) and percents; and |
|
5-1,
5-2, 5-3,
5-4, 5-5,
5-6, 5-7,
5-9, 6-1,
6-2, 6-4,
6-5, 6-6,
6-7, 6-8
|
| 7.4b
|
The student will solve
consumer-application problems involving tips, discounts,
sales tax, and simple interest. |
|
6-6,
6-7 |
| 7.5 |
The student will formulate
rules for and solve practical problems involving
basic operations (addition, subtraction, multiplication,
and division) with integers. |
|
1-2,
1-3, 1-4,
1-5, 2-1,
2-2, 2-3,
2-4, 2-5,
3-1, 3-2,
3-3, 3-4,
3-5, 3-6,
3-7, 4-1,
4-2, 4-3,
4-4, 4-6,
4-7, 4-8,
6-5, 7-1,
7-2, 7-3,
7-4, 7-5,
7-6, 9-4,
9-5, 9-7,
10-1, 10-5,
10-8, 11-1,
11-2, 11-4,
11-6, 12-6,
12-7, 13-2,
13-3, 13-4,
13-5, 13-6
|
| 7.6
|
The student will use proportions
to solve practical problems, which may include scale
drawings, that contain rational numbers (whole numbers,
fractions, and decimals) and percents. |
|
6-2,
6-3, 6-5
|
| Measurement |
| 7.7a
|
The student, given appropriate
dimensions, will estimate and find the area of polygons
by subdividing them into rectangles and right triangles;
and |
|
10-5,
10-8 |
| 7.7b |
The student will apply
perimeter and area formulas in practical situations. |
|
3-7,
7-2, 8-9,
10-5, 10-6,
10-7, 10-8
|
| 7.8 |
The student will investigate
and solve problems involving the volume and surface
area of rectangular prisms and cylinders, using
concrete materials and practical situations to develop
formulas. |
|
11-2,
11-4, 11-6
|
| Geometry |
| 7.9 |
The student will compare
and contrast the following quadrilaterals: parallelogram,
rectangle, square, rhombus, and trapezoid. Deductive
reasoning and inference will be used to classify
quadrilaterals. |
|
10-4 |
| 7.10 |
The student will identify
and draw the following polygons: pentagon, hexagon,
heptagon, octagon, nonagon, and decagon. |
|
10-6 |
| 7.11 |
The student will determine
if geometric figures - quadrilaterals and triangles
- are similar and write proportions to express the
relationships between corresponding parts of similar
figures. |
|
9-7,
11-6 |
| 7.12 |
The student will identify
and graph ordered pairs in the four quadrants of
a coordinate plane. |
|
1-6,
2-6 |
| 7.13 |
The student, given a polygon
in the coordinate plane, will represent transformations
- rotation and translation - by graphing the coordinates
of the vertices of the transformed polygon and sketching
the resulting figure. |
|
10-3
|
| Probability
and Statistics |
| 7.14 |
The student will investigate
and describe the difference between the probability
of an event found through simulation versus the
theoretical probability of that same event. |
|
6-9
|
| 7.15 |
The student will identify
and describe the number of possible arrangements
of several objects, using a tree diagram or the
Fundamental (Basic) Counting Principle. |
|
12-6
|
| 7.16 |
The student will create
and solve problems involving the measures of central
tendency (mean, median, mode) and the range of a
set of data. |
|
5-8,
12-2 |
| 7.17 |
The student, given a problem
situation, will collect, analyze, display, and interpret
data, using a variety of graphical methods, including
|
|
|
| 7.17a |
frequency distributions; |
|
12-4
|
| |
5-8
|
| |
12-4
|
| 7.17d |
stem-and-leaf plots; |
|
12-1
|
| 7.17e |
box-and-whisker plots;
and |
|
12-3
|
| |
1-7
|
| 7.18 |
The student will make
inferences, conjectures, and predictions based on
analysis of a set of data. |
|
1-7,
6-9, 8-5,
8-8, 11-2
|
| Patterns,
Functions, and Algebra |
| 7.19 |
The student will represent,
analyze, and generalize a variety of patterns, including
arithmetic sequences and geometric sequences, with
tables, graphs, rules, and words in order to investigate
and describe functional relationships. |
|
5-10,
8-1, 8-2,
8-3, 8-5,
8-6, 8-7,
13-5, 13-6
|
| 7.20 |
The student will write
verbal expressions as algebraic expressions and
sentences as equations. |
|
1-3,
1-5, 3-2,
3-4, 3-6,
8-7 |
| 7.21 |
The student will use the
following algebraic terms appropriately: equation,
inequality, and expression. |
|
1-2,
1-5, 2-1,
4-2, 7-3
|
| 7.22a |
The student will solve
one-step linear equations and inequalities in one
variable with strategies involving inverse operations
and integers, using concrete materials, pictorial
representations, and paper and pencil; and |
|
1-5,
3-3, 3-4,
3-7, 5-9,
7-4, 7-5
|
| 7.22b |
The student will solve
practical problems requiring the solution of a one-step
linear equation. |
|
3-3,
3-4, 3-7,
5-9 |
|
to the SOL