| Standards and Expectations |
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. |
|
1-9,
5-4,
5-5,
5-6,
5-8,
7-5,
7-6 |
| 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,
1-3,
1-4,
1-5 |
| 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; |
|
1-6 |
| 7.3b |
|
the distributive property; |
|
1-6 |
| 7.3c |
|
the additive and multiplicative identity properties; |
|
1-6 |
| 7.3d |
|
the additive and multiplicative inverse properties; and |
|
3-5,
6-5 |
| 7.3e |
|
the multiplicative property of zero. |
|
3-6 |
| Computation and Estimation |
| 7.4a |
|
The student will solve practical problems using rational numbers (whole numbers, fractions, decimals) and percents; and |
|
5-3,
5-4,
5-5,
5-6,
7-5,
7-6,
7-7,
7-8,
8-1,
8-2,
8-4,
8-5,
8-6 |
| 7.4b |
|
The student will solve consumer-application problems involving tips, discounts, sales tax, and simple interest. |
|
7-8,
8-2,
8-4,
8-5,
8-6 |
| 7.5 |
|
The student will formulate rules for and solve practical problems involving basic operations (addition, subtraction, multiplication, and division) with integers. |
|
3-4,
3-5,
3-6,
3-7 |
| 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. |
|
7-3,
7-4,
7-8 |
| 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 |
|
11-7 |
| 7.7b |
|
The student will apply perimeter and area formulas in practical situations. |
|
6-8,
11-4,
11-5,
11-6,
11-7 |
| 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. |
|
12-2,
12-3,
12-4,
12-5 |
| 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. |
|
10-5 |
| 7.10 |
|
The student will identify and draw the following polygons: pentagon, hexagon, heptagon, octagon, nonagon, and decagon. |
|
10-7 |
| 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. |
|
10-6 |
| 7.12 |
|
The student will identify and graph ordered pairs in the four quadrants of a coordinate plane. |
|
3-3 |
| 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. |
|
10-8 |
| 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. |
|
9-6 |
| 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. |
|
9-2,
9-3,
9-4,
9-5 |
| 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. |
|
2-3,
2-4,
2-5,
2-6,
2-8 |
| 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; |
|
2-1,
2-2,
2-3,
2-4,
2-5,
2-6,
2-7,
2-8 |
|
|
2-3 |
|
|
2-7 |
| 7.17d |
|
stem-and-leaf plots; |
|
2-5 |
| 7.17e |
|
box-and-whisker plots; and |
|
2-6 |
|
|
2-2 |
| 7.18 |
|
The student will make inferences, conjectures, and predictions based on analysis of a set of data. |
|
2-2,
8-3 |
| 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. |
|
1-1,
1-7,
4-6 |
| 7.20 |
|
The student will write verbal expressions as algebraic expressions and sentences as equations. |
|
4-1,
4-6 |
| 7.21 |
|
The student will use the following algebraic terms appropriately: equation, inequality, and expression. |
|
1-4,
1-5,
4-1,
4-2,
4-3,
4-5 |
| 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,
4-2,
4-3,
4-5 |
| 7.22b |
|
The student will solve practical problems requiring the solution of a one-step linear equation. |
|
1-5,
4-2,
4-3,
4-5 |
|
Extra Examples—
