Pre-Algebra for 6th Graders

<p>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.</p>
<p>Students will build understanding within each pre-algebra strand:</p>
<ol>
<li>Number and Number Sense</li>
<li>Computation and Estimation</li>
<li>Measurement and Geometry</li>
<li>Probability and Statistics</li>
<li>Patterns, Functions, and Algebra</li>
</ol>
<p>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.</p>
<p>More specific examples of the content of this course includes:</p>
<ul>
<li>Operations with fractions, decimals, and percentages, including representational models and practical problems.</li>
<li>Multistep practical problems involving fractions, mixed numbers, and decimals.</li>
<li>Integer operations, including integer models and order of operations.</li>
<li>Discovering and exploring pi, circles, and circle graphs.</li>
<li>Measures of central tendency, including mean as balance point.</li>
<li>Proportional relationships, including verbal descriptions, rates, ration tables, and graphs.</li>
<li>The real number system including computing and classifying with subsets of the system.</li>
<li>Positive and negative exponents, including the order of operations.</li>
<li>Solving multiple practical problems involving rational numbers, proportional reasoning, and similarity.</li>
<li>Slope as rate of change.</li>
<li>Proportional relationships and additive relationships related to graphing a line and other practical problems.</li>
<li>Practical problems involving consumer applications.</li>
<li>Quadrilaterals.</li>
<li>Determine the measure of unknown angles based on angle relationships.</li>
<li>Solving practical problems involving volume and surface area of a wide range of figures, including analysis and description of the effects of changing attributes.</li>
<li>Apply transformations including translations, reflections, and dilatations.</li>
<li>Constructed three-dimensional models given various views.</li>
<li>Apply and verify the Pythagorean Theorem.</li>
<li>Solve practical area and perimeter problems involving composite figures.</li>
<li>Compare and contrast the probability of independent and dependent events and compute probabilities.</li>
<li>Represent, make observations and inferences from, and compare and analyze data using a wide variety of graphs including boxplots, scatterplots, and histograms.</li>
<li>Evaluate and simplify algebraic expressions.</li>
<li>Domain, range, dependent, and independent variables.</li>
<li>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.</li>
<li>Solve multistep linear equations and inequalities in one variable on one or both sides, with an emphasis on practical problem application.</li>
</ul>