Pre-Algebra for 6th Graders

Pre-Algebra for 6th Graders (6/7/8) is a rigorous treatment of all middle school math content found in the Virginia Standards of Learning for Grade 6, Grade 7, and Grade 8. This intensified course includes all pre-algebra content that students need to master prior to studying Algebra I, Intensified and Geometry, Intensified.

Students will build understanding within each pre-algebra strand:

1. Number and Number Sense
2. Computation and Estimation
3. Measurement and Geometry
4. Probability and Statistics
5. Patterns, Functions, and Algebra

In addition, the content of the standards is intended to support the following process goals for learning mathematics: Problem Solving, Communications, Connections, Representations, and Reasoning.

More specific examples of the content of this course includes:

• Operations with fractions, decimals, and percentages, including representational models and practical problems.
• Multistep practical problems involving fractions, mixed numbers, and decimals.
• Integer operations, including integer models and order of operations.
• Discovering and exploring pi, circles, and circle graphs.
• Measures of central tendency, including mean as balance point.
• Proportional relationships, including verbal descriptions, rates, ration tables, and graphs.
• The real number system including computing and classifying with subsets of the system.
• Positive and negative exponents, including the order of operations.
• Solving multiple practical problems involving rational numbers, proportional reasoning, and similarity.
• Slope as rate of change.
• Proportional relationships and additive relationships related to graphing a line and other practical problems.
• Practical problems involving consumer applications.
• Quadrilaterals.
• Determine the measure of unknown angles based on angle relationships.
• Solving practical problems involving volume and surface area of a wide range of figures, including analysis and description of the effects of changing attributes.
• Apply transformations including translations, reflections, and dilatations.
• Constructed three-dimensional models given various views.
• Apply and verify the Pythagorean Theorem.
• Solve practical area and perimeter problems involving composite figures.
• Compare and contrast the probability of independent and dependent events and compute probabilities.
• Represent, make observations and inferences from, and compare and analyze data using a wide variety of graphs including boxplots, scatterplots, and histograms.
• Evaluate and simplify algebraic expressions.
• Domain, range, dependent, and independent variables.
• Identify and interpret slope and intercepts of a function given values, a graph, or an equation and make connections among verbal descriptions, tables, equations, and graphs.
• Solve multistep linear equations and inequalities in one variable on one or both sides, with an emphasis on practical problem application.