Pre-Algebra for 7th Graders

Pre-Algebra for 7th Graders is a rigorous treatment of prealgebra topics from the Virginia Standards of Learning for Grade 7 and Grade 8 mathematics. The standards focus on the pre-algebra foundations that students need to master in order to be successful in Algebra I or Algebra I, Intensified in eighth grade and in high school mathematics.

Students will build understanding within these strands:

1. Number and Number Sense
2. Computation and Estimation
3. Measurement
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 content components of the course include:

• The real number system including computing and classifying with subsets of the system.
• Positive and negative exponent, including the order of operations.
• Solving multi-step practical problems involving rational numbers, proportional reasoning, and similarity.
• Slope as rate of change.
• Proportional relationships and additive relationships related to graphing a line.
• 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.
• Construct three-dimensional models given top/bottom, side, and front/back 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.
• Determine whether a relation in a function and determine domain and range and dependent and independent variables.
• Identify and interpret slope and intercept of a function given values, a graph, or an equation and make connections among verbal description, 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.