Pre-Algebra SOL Objectives (Grades 6-8)
- 7.1 The student will compare, order, and determine equivalent relationships between fractions, decimals, and percents, including scientific notation for numbers greater than 10.
- 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.
- 7.3 The student will identify and apply the following properties of operations with real numbers:
- a) the commutative and associative properties for addition and multiplication;
- b) the distributive property;
- c) the additive and multiplicative identity properties;
- d) the additive and multiplicative inverse properties; and
- e) the multiplicative property of zero.
- 7.4 The student will
- a) solve practical problems using rational numbers (whole numbers, fractions, decimals) and percents; and
- b) solve consumer application problems involving tips, discounts, sales tax, and simple interest.
- 7.5 The student will formulate rules for and solve practical problems involving basic operations (addition, subtraction, multiplication, and division) with integers.
- 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.
- 7.7 The student, given appropriate dimensions, will
- a) estimate and find the area of polygons by subdividing them into rectangles and right triangles; and
- b) apply perimeter and area formulas in practical situations.
- 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.
- 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.
- 7.10 The student will identify and draw the following polygons: pentagon, hexagon, heptagon, octagon, nonagon, and decagon.
- 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.
- 7.12 The student will identify and graph ordered pairs in the four quadrants of a coordinate plane.
- 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.
- 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.
- 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.
- 7.16 The student will create and solve problems involving the measures of central tendency (mean, median, mode), and range of a set of data.
- 7.17 The student, given a problem situation, will collect, analyze, display, and interpret data, using a variety of graphical methods, including
- a) frequency distributions;
- b) line plots;
- c) histograms;
- d) stem-and-leaf plots;
- e) box-and-whisker plots; and
- f) scattergrams.
- 7.18 The student will make inferences, conjectures, and predictions based on analysis of a set of data.
- 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.
Calculators will be used to develop exponential patterns.
- 7.20 The student will write verbal expressions as algebraic expressions and sentences as equations.
- 7.21 The student will use the following algebraic terms appropriately: equation, inequality, and expression.
- 7.22 The student will
- a) 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
- b) solve practical problems requiring the solution of a one-step linear equation.