Parents may use this information to assist their middle school student/students with the subject of Mathematics. Each SPI is listed with links to good resources that will help a student with mastering that particular skill. These documents are also attached for you to download at the right of this page. 6^{th} Grade Math Resources by SPI SPI 0606.1.1  Make conjectures and predictions based on data. Collection of Making Predictions Activities Making Math Predictions Practice  SPI 0606. 3.6  Select the qualitative graph that models a contextual situation (e.g., water filling then draining from a bathtub). Qualitative Graphs in Contextual Situation Activities  SPI 0606.1.2  Judge the reasonableness of the results of rational number estimates and/or computations. Interactive Lesson: Judge the Reasonableness of the Answer  SPI 0606.1.2  Judge the reasonableness of the results of rational number estimates and/or computations. Reasonableness Resources Texas Instruments Estimation Activity  SPI 0606.1.3  Use concrete, pictorial, and symbolic representation for integers. State of TN Study Partner: Representing Integers (Download) State of TN Representing Integers Note Sheet Integer Representation Online Game Representing Integers Practice  SPI 0606.1.4  Select the representation that models one of the arithmetic properties (commutative, associative, or distributive) Cool Math: Arithmetic Properties Arithmetic Properties Smart Board Lessons  SPI 0606.1.5  Model algebraic expressions using algebra tiles. Algebra Tiles Smart Board Lessons Free Printable Algebra Tiles  SPI 0606.2.1  Solve the problems involving the multiplication and division of fractions TNDOE Podcast: Multiplying and Dividing Fractions (Download) Fractions Podcast Note Sheet Multiplying Fractions Resources Dividing Fractions Resources  SPI 0606.2.2  Solve problems involving addition, subtraction, multiplication, and division of mixed numbers. TNDOE Podcast: Multiplying and Dividing Mixed Numbers (Download) Mixed Numbers Podcast Note Sheet Fractions SMART Board Lessons Fractions Operations Resources Rules for Operations With Fractions  SPI 0606.2.3  Solve problems involving addition, subtraction, multiplication, and division of decimals. TNDOE Podcast: Working with Decimals (Download) Collection of Decimals Resources Decimals Interactive Practice Enchanted Learning Decimals Resources  SPI 0606.2.4  Solve multistep arithmetic problems using fractions, mixed numbers, and decimals. Collection of Fraction Resources Interactive Fraction Arithmetic Practice Additional Fraction Arithmetic Resources Fractions Activities with Shapes TNDOE Podcast: MultiStep Arithmetic Problems (Download) MultiStep Problems Podcast Note Sheet TNDOE Podcast: Transforming Numbers (Download) Multistep Fractions Resources Online MultiStep Problems Tutorial Collection of Operations Videos  SPI 0606.2.5  Transform numbers from one form to another (fractions, decimals, percents, and mixed numbers). Mixed to Improper Practice Fractions to Decimals Practice Understanding Percents Percents Practice  SPI 0606.2.6  Solve problems involving ratios, rates, and percents Collection of Rates, Ratios, and Probabilities Resources Teaching Ratios Ratios, Rates, and Percents Smart Board Lessons Ratios, Rates, Percents Online Game  SPI 0606.2.8  Locate integers on the number line. Integers and Number Lines Online Lesson Integers and Number Lines Online Practice  SPI 0606.3.1  Represent on a number line the solution of a linear inequality. Streaming Videos: Inequalities on Number Lines Inequalities and Number Line Online Lesson  SPI 0606.3.2  Use order of operations and parentheses to simplify expressions and solve problems. Order of Operations Online Lesson and Practice  SPI 0606.3.3  Write equations that correspond to given situations or represent a given mathematical relationship. Algebra Lab: Real World Equations Math Warehouse: Equations in the Real World  SPI 0606.3.4  Rewrite expressions to represent quantities in different ways. Collection of Rewriting Expressions Activities  SPI 0606.3.5  Translate between verbal expressions/sentences and algebraic expressions/equations. Translating Algebra Online Lesson Algebra Lab: Translating Verbal Algebra  SPI 0606.3.6  Solve twostep linear equations using number sense, properties, and inverse operations. Algebra Lab: 2 Step Equations Math.com 2 Step Equations TwoStep Equations Smart Board Lessons  SPI 0606.3.7  Use algebraic expressions and properties to analyze numeric and geometric patterns. Collection of Using Algebraic Expressions Activities  SPI 0606.3.8  Select the qualitative graph that models a contextual situation (e.g., water filling then draining from a bathtub)  SPI 0606.3.9  Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system. Ordered Pairs Smart Board Lessons Ideas for Teaching Graphing Ordered Pairs  SPI 0606.4.1  Identify, define, or describe geometric shapes given a visual representation or a written description of its properties. Geometric Shapes Resources  SPI 0606.4.2  Find a missing angle measure in problems involving interior/exterior angles and/or their sums. Missing Angle Measure Resources  SPI 0606.4.3  Solve problems using the Triangle Inequality Theorem. Triangle Inequality Theorem Resources  SPI 0606.4.4  Calculate with circumferences and area of circles. Circumference Resources  SPI 0606.4.5  Determine the surface area and volume of prisms, pyramids, and cylinders. Surface Area and Volume Resources  SPI 0606.4.6  Given the volume of a cone/pyramid, find the volume of the related cylinder/prism or vice versa. Related Figures Volume Resources  SPI 0606.5.1  Determine the theoretical probability of simple and compound events in familiar contexts. Probability Online Tutorial and Exercise Online Probability Games Probability Smart Board Lessons Probability Activities  SPI 0606.5.2  Identify features of graphs that may be misleading. State of TN Podcast: Misleading Graphs (Download) Podcast Study Guide: Misleading Graphs Brain Pop: Graphs Misleading Graphs Lesson Interactive Questions about Misleading Graphs Example of Misleading Graphs Misleading Graphs PPT  SPI 0606.5.3  Determine whether or not a sample is biased. State of TN Podcast: Biased Sample Podcast Study Guide: Biased Sample Examples of Biased Samples Authentic Biased Sample Activity Glencoe Lesson on Sample Bias Explanation of Biased Sample TN Dept of Education Podcast: Biased Sample Biased Sample Podcast Worksheet 
7^{th} Grade Math Resources by SPI SPI 0706.1.1  Use proportional reasoning to solve mixture/concentration problems. State of TN Podcast: Proportional Reasoning (Download) Podcast Study Guide: Proportional Reasoning Mixture and Concentration Problems Tutorial Proportional Reasoning Practice and Activities Proportional Reasoning Study Toolkit  SPI 0706.1.2  Generalize a variety of patterns to a symbolic rule from tables, graphs, or words. Resources for Using Math Patterns Graphing Project Misleading Graphs and Statistics  SPI 0706.1.3  Recognize whether information given in a table, graph, or formula suggests a directly proportional, linear, inversely proportional, or other nonlinear relationship. Collection of Graph Resources  SPI 0706.1.4  Use scale to read maps. 14 Activities Using Map Scale Scale and Distance PPT TNDOE Podcast: Using Scale to Read a Map (Download) Scale Podcast Note Sheet Collection of Map Scale Activities  SPI 0706.2.1  Simplify numerical expressions involving rational numbers. State of TN Podcast: Simplifying Expressions (Download) Podcast Study Guide: Simplifying Expressions Properties of Rational Numbers Flash Cards Brain Pop: Rational Numbers Rational Numbers PPT  SPI 0706.2.3  Use rational numbers and roots of perfect squares/cubes to solve contextual problems. Brain Pop: Square Roots Square Roots Lesson Plan  SPI 0706.2.4  Determine the approximate location of square/cube roots on a number line. Video: Graphing Square Roots on a Number Line Estimating Square Roots on a Number Line PPT  SPI 0706.2.5  Solve contextual problems that involve operations with integers. Contextual Integer Resources  SPI 0706.2.6  Express the ratio between two quantities as a percent and a percent as a ratio for a fraction. Ratios Resources Online Ratio Lesson Percents are Ratios Lesson TNDOE Podcast: Converting Ratios and Percents (Download) Converting Ratios Podcast Note Sheet Teaching Ratio and Proportions Collection of Ratios and Proportions Links  SPI 0706.2.7  Use ratios and proportions to solve problems. Collection of Ratio and Percent Resources Interactive Ratio Lesson and Practice Ratios and Proportions PPT TNDOE Podcast: Using Ratio and Proportion to Solve Problems (Download) Using Ratio Podcast Note Sheet Ratio and Proportion Word Problem Strategies Ratio Word Problems  SPI 0706.3.1  Evaluate algebraic expressions involving rational values of coefficients and/or variables. Collection of Algebraic Expressions Resources  SPI 0706.3.2  Determine whether a relationship (represented in various ways) is a function. Relations and Functions Online Resources  SPI 0706.3.3  Given a table of inputs x and outputs f(x), identify the function rule and continue the pattern. Collection of Function Input Resources  SPI 0706.3.4  Interpret the slope of a line as a unit rate given the graph of a proportional relationship. Slope Online Tutorial Finding Slope Streaming Video Collection of Slope Online Resources  SPI 0706.3.5  Represent proportional relationships with equations, tables, and graphs. Collection of Online Proportion Resources Proportional Relationships Online Game  SPI 0706.3.6  Solve linear equations with rational coefficients. Collection of Linear Equations with Rational Coefficients Resources  SPI 0706.3.7  Translate between verbal and symbolic representations of realworld phenomena involving linear equations. Translating Algebra Online Lesson Algebra Lab: Translating Verbal Algebra  SPI 0706.3.8  Solve contextual problems involving twostep linear equations. Algebra Lab: 2 Step Equations Math.com 2 Step Equations  SPI 0706.3.9  Solve linear inequalities in one variable with rational coefficients symbolically or graphically. Constant Rate of Change Resources  SPI 0706.4.1  Solve contextual problems involving similar triangles. Similar Triangle Online Tutorial and Practice Collection of Similar Triangle Resources  SPI 0706.4.2  Use SSS, SAS, AA to determine if two triangles are similar. Collection of SSS, SAS, and AA Online Resources  SPI 0706.4.3  Apply scale factor to solve problems involving area and volume. Online Scale Factor Resources Scale Factor Online Game Scale Factor PPT  SPI 0706.5.1  Interpret and employ various graphs and charts to represent data. Graphs and Charts Resources  SPI 0706.5.2  Select suitable graph types (such as bar graphs, histograms, line graphs, circle graphs, stemandleaf plots) and use them to create accurate representations of given data. Suitable Graph Types Resources  SPI 0706.5.3  Calculate and interpret the mean, median, upperquartile, lowerquartile, and interquartile range of a set of data. Mean, Median, and Quartile Range Resources  SPI 0706.5.4  Use theoretical probability to make predictions. Theoretical Probability Tutorial Video Theoretical Probability Activities 
8^{th} Grade Math Resources by SPI SPI 0806.1.1  Solve problems involving rate/time/distance (i.e., d=rt) State of TN Podcast: Finding Rate, Time, and Distance (Download) Podcast Study Guide: Rate, Time, and Distance Distance Problems Interactive Site D=RT Practice Problems  SPI 0806.1.2  Interpret a qualitative graph representing a contextual situation. Qualitative Graphs Online Lesson Qualitative Graphs Online Resources  SPI 0806.1.3  Calculates rates involving cost per unit to determine the best buy. TN Dept of Educ Podcast: Determining the Best Buy TN Dept of Educ Podcast Notetaking Sheet Cost Per Unit Activities  SPI 0806.2.1  Order and compare rational and irrational numbers and locate on the number line. TN Dept of Education Podcast: Ordering and Comparing Rational and Irrational Numbers (Download) Podcast Note Sheet Ordering Numbers Activity Collections of Resources for Ordering and Comparing Numbers Ordering Rational Numbers Video  SPI 0806.2.2  Identify numbers and square roots as rational or irrational. Rational vs. Irrational Online Lesson  SPI 0806.2.3  Use scientific notation to compute products and quotient. 25 Activities and Resources for Using Scientific Notation To Compute Scientific Notation Practice Lessons Scientific Notation Lesson PPT Calculations Using Scientific Notation Lesson  SPI 0806.2.4  Solve realworld problems requiring scientific notation. Word Problems Using Scientific Notation Scientific Notation in Everyday Life Real World Scientific Notation Lesson  SPI 0806.3.1  Find solutions to systems of two linear equations in two variables. Equations in Two Variables Online Tutorial  SPI 0806.3.2  Solve the linear equation f(x)=g(x) Linear Equations Online Resources Collection of Online Resources  SPI 0806.3.3  Solve and graph linear inequalities in two variables Algebra Lab: Inequalities in Two Variables Graphing Linear Inequalities Online Tutorial  SPI 0806.3.4  Translate between various representations of a linear function. Linear Functions Online Activity  SPI 0806.3.5  Determine the slope of a line from an equation, two given points, a table, or a graph Determining Slope Online Lesson Slope Online Tutorial Finding Slope Streaming Video Collection of Slope Online Resources  SPI 0806.3.6  Analyze the graph of a linear function to find solutions and intercepts. Collection of Graphs of Functions Resources  SPI 0806.3.7  Identify, compare and contrast functions as linear or nonlinear. Nonlinear Functions Resources Linear and Nonlinear Examples and Practice  SPI 0806.4.1  Use the Pythagorean Theorem to solve contextual problems. State of TN Study Partner: Pythagorean Theorem (Download) State of TN Study Partner Pythagorean Note Sheet  SPI 0806.4.2  Apply the Pythagorean Theorem to find distances between points in the coordinate plane to measure lengths and analyze polygons and polyhedra. Using the Pythagorean Theorem Resources Applying Pythagorean Theorem Online Resources  SPI 0806.4.3  Find measures of the angles formed by parallel lines cut by a transversal. Angles and Transversals Think Quest  SPI 0806.4.4  Convert between and within the U.S. Customary System and the metric systems. TN Dept of Educ Podcast: US Customary and Metric System TN Dept of EDUC Podcast Notetaking Sheet Collection of Currency Conversion Activities  SPI 0806.4.5  Identify the intersection of two or more geometric figures in the plane. Intersecting Planes Online Lesson Collection of Intersecting Planes Resources  SPI 0806.5.1  Calculate probabilities of events for simple experiments with equally probable outcomes. Collection of Online Probability Resources  SPI 0806.5.2  Use a variety of methods to compute probabilities for compound events (e.g., multiplication, organized lists, tree diagrams, area models). Collection of Multiple Event Probability Resources  SPI 0806.5.3  Generalize the relationship between two sets of data using scatter plots and lines of best fit. Scatter Plots Power Point Scatter Plot Activity Interactive Site Exploring RealWorld Use of Scatter Plots Scatter Plots Online Tutorial  SPI 0806.5.4  Recognize misrepresentations of published data in the media Collection of Media Misrepresentation of Data Resources 
