RCPS Math Curriculum - Grade 8

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Eighth Grade Math Benchmarks

*These Benchmarks were revised in July 2010. References in black are to the 2001 SOL. References in red are to the 2009 SOL. 

 

A Guide for Parent Involvement


Note:  Chapters referenced are from the adopted text, Glencoe Mathematics Applications and Concepts, Course 3

 

1st Nine Weeks

Chapter 2: Algebra: Rational Numbers (2.8 and 2.9)
Related SOLs:
8.1a. The student will simplify numerical expressions involving exponents, using rational numbers, order of operations, and properties of operations.
8.1b. The student will recognize, represent, compare, and order rational numbers expressed in scientific notation

Chapter 1: Algebra: Integers (Add the Properties in 1.2, 1.4, 2.4, and in Section 1.4 of Algebra I textbook)
Related SOLs:
8.1a. The student will simplify numerical expressions involving exponents, using rational numbers, order of operations, and properties of operations.
8.1b. The student will recognize, represent, compare, and order rational numbers expressed in scientific notation
8.4 The student will apply the order of operations to evaluate algebraic expressions for given replacement values of the variables. Problems will be limited to positive exponents.
8.15 The student will solve two-step equations and inequalities in one variable, using concrete materials, pictorial representations, and paper and pencil.

Chapter 10: Algebra: More Equations and Inequalities (Add 10.4, Sections 3.4-3.5 in Algebra I textbook, 10.7, and Section 6.3 in Algebra I textbook -- graphing inequalities on the number line)
Related SOLs:
8.15 The student will solve two-step equations and inequalities in one variable,using concrete materials, pictorial representations, and paper and pencil.

2nd Nine Weeks

Chapter 4: Proportions, Algebra and Geometry (4.1, 4.2, 4.4, 4.6)
Related SOLs:
8.3 The student will solve practical problems involving rational numbers, percents, ratios and proportions. Problems will be of varying complexities and will involve real life data, such as finding a discount and discount prices and balancing a checkbook.
8.17 The student will create and solve problems using proportions, formulas, and functions.

Chapter 5: Percent (Add 5.7)
Related SOLs:
8.1c The student will compare and order decimals, fractions, percents, and numbers written in scientific notation.
8.3 The student will solve practical problems involving rational numbers, percents, ratios and proportions. Problems will be of varying complexities and will involve real life data, such as finding a discount and discount prices and balancing a checkbook.
8.17 The student will create and solve problems using proportions, formulas, and functions

Chapter 11: Algebra: Linear Functions (11.1 and 11.2)
Related SOLs:
8.16 The student will graph a linear equation in two variables on the coordinate plane, using a table of ordered pairs.
8.14 The student will
a) describe and represent relations and functions using tables, graphs, and rules
b) relate and compare tables, graphs, and rules as different forms of representation for relationships.
8.18 The student will use the following algebraic terms appropriately: domain, range, independent variable, and dependent variable.

3rd Nine Weeks

Chapter 3: Algebra: Real Numbers and the Pythagorean Theorem (3.1-3.5)
Related SOLs:
8.2 The student will describe orally and in writing the relationship between the subsets of the real number system.
8.5 The student, given a whole number from 0 to 100, will identify it as a perfect square or find the two consecutive whole numbers between which the square root lies.
8.10 The student will
a) verify the Pythagorean Theorem using diagrams, concrete materials, and measurement;
b) apply the Pythagorean Theorem to find the missing length of a side of a right triangle when the lengths of the other two sides are given.

Chapter 6: Geometry (6.7-6.9, and Section 4.8)
8.8 The student will apply transformations (rotate or turn, reflect or flip, translate or slide, and dilate or scale) to geometric figures represented on graph paper. The student will identify applications of transformations such as tiling, fabric design, art, and scaling.

Chapter 8: Probability (8.1, 8.5, and 8.6)
Related SOL:
8.11 The student will analyze problem situations, including games of chance, board games, or grading scales, and make predictions, using knowledge of probability

Chapter 9: Statistics and Matrices (9.1-9.8, and Sections 11.6a and 11.6)
Related SOLs:
8.12 The student will make comparisons, predictions, and inferences, using information displayed in frequency distributions; box and whisker plots; scattergrams; line, bar, circle and picture graphs; and histograms
8.13 The student will use a matrix to organize and describe data.

4th Nine Weeks

Chapter 6: Geometry (6.1-6.2)
Related SOL:
8.6 The student will verify by measuring and describe the relationships among vertical angles, adjacent angles, supplementary angles, and complementary angles and will measure and draw angles less than 360 degrees.

Chapter 7: Geometry: Measuring Area and Volume (Add 7.3 and 7.8b + supplementary material on changing attributes of solid figures)
Related SOLs:
8.7 The student will investigate and solve practical problems involving volume and surface area of rectangular solids (prisms), cylinders, cones and pyramids.
8.9 The student will construct a three-dimensional model given the top, side, and/or bottom views.