Grade 8 Middle School Math Solution Table of Contents: Virginia State Standards Alignment
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1 NUMBER AND NUMBER SENSE The students will compare and order real numbers. The student will describe the relationship between subsets of the real number system. 8.3 The student will estimate and determine the two consecutive integers between which a square root lies. COMPUTATION AND ESTIMATION 8.4 The student will solve practical problems involving consumer applications. MEASUREMENT AND GEOMETRY The student will use relationships among pairs of angles that are vertical 8.5 angles, adjacent angles, supplementary angles, and complementary angles to determine the measure of unknown angles. Thinking ly The Real The Real The Real Angles and Triangles 1: So Many s, So Little Time 2: Rational and Irrational s 3: What Are Those? 1: So Many s, So Little Time 2: Rational and Irrational s 3: What Are Those? 3: What Are Those? 1: Markups and Markdowns 2: Perks of Work 3: No Taxation without Calculation 4: More Ups and Downs Reasoning and Percents 2: Special Delivery Geometry Rational and Irrational s Rational and Irrational s Problem Solving using Angle Properties 2: Graphing Real s 3: Ordering Real s 1: Introduction to Irrational s 1: Calculating Percent Change and Final Amounts 2: Using Percents and Percent Change 1: Calculating Angles 2: Classifying Angles and Determining Unknown Grade 8 Middle School Math Solution: Table of Contents 1
2 a. The student will solve problems, involving volume and surface area of cones and square-based pyramids; and b. describe how changing one measured attribute of a rectangular prism affects the volume and surface area. a. The student will be given a polygon, apply transformations to include translations, reflections and dilations, in the coordinate plane; and b. identify practical applications of transformations. The student will construct a three-dimensional model, given the top or bottom, side and front views. a. The student will verify the ; and b. apply the Applying Powers Transforming Objects Volume of Curved Rigid Motion Similarity 2: Dissecting a Pyramid 3: Hey Mister Got Some Bird Seed 4: The Sounds of Surface Area 5: More Than Four Sides of the Story 2: Cone of Silence 4: Silos, Frozen Yogurt, and Popcorn 5: More Than Four Sides of the Story 2: Slides, Flips, and Turns 3: Lateral Moves 4: Mirror, Mirror 5: Half Turns and Quarter Turns 6: Every Which Way 1: Pinch Zoom Geometry 2: Rising, Running, Stepping, and Scaling 3: From Here to There 1: Slicing and Dicing 2: Dissecting a Pyramid 1: Right Triangle Connection 2: Can That Be Right? 1: Right Triangle Connection 2: Can That Be Right? 3: Pythagoras meets Descartes 4: Carry Corner Geometry Volume Volume of Pyramids Volume of on the Coordinate Plane The The 1: Calculating Volume of Pyramids 2: Using Volume of Pyramids 3: Calculating Volume of Cones 4: Using Volume of Cones 1: Translating Plane 2: Rotating Plane 3: Reflecting Plane 4: Dilating Plane 5: Performing One Transformation 6: Performing Multiple 1: Exploring the 2: Applying the 3: Problem Solving using the 4: Calculating Distances on the Coordinate Plane Grade 8 Middle School Math Solution: Table of Contents 2
3 8.10 The student will solve area and perimeter problems, including practical problems, involving composite plane figures. PROBABILITY AND STATISTICS a. The student will compare and contrast the probability of independent and 8.11 dependent events; and b. determine probabilities for independent and dependent events a. The student will represent numerical data in boxplots; b. make observations about data represented in boxplots; and c. compare and analyze two data sets using boxplots. a. The student will represent data in scatterplots; b. make observations about data represented in scatterplots; and c. use a drawing to estimate the line of best fit represented in a scatterplot. Composing and Decomposing Analyzing Populations Analyzing Populations Describing Variability of Describing Variability of Factors and Area Compound Compound Numerical Displays of Data Numerical Displays of Data 2: All About that Base and Height 3: Slicing and Dicing 3: Pet Shop 4: On a Hot Streak 2: Box It Up 2: Box It Up 1: Pass the Squeeze 1: Pass the Squeeze 2: Where Do You Buy Your Socks 2: Where Do You Buy Your Socks Measurement Data Comparison and of Central Tendency and Data Displays of Central Tendency and Data Displays Area Introduction to Box Plots Box Plots Lines of Best Fit 1: Develop Area Formulas 2: Calculating Area of Various 3: Solving Area Problems 4: Calculating Area of Composite 3: Calculating Compound 1: Box Plots 2: Interpreting Box Plots 1: Estimating Lines of Best Fit 2: Using Lines of Best Fit Grade 8 Middle School Math Solution: Table of Contents 3
4 PATTERNS, FUNCTIONS, AND ALGEBRA a. The student will evaluate an algebraic expression for given replacement values of the variable. a. The student will determine whether a given relation is a function; and b. determine the domain and range of a function. a. The student will recognize and describe the graph of a linear function with a slope that is positive, negative or zero; b. identify the slope and y-intercept of a linear function, given a table of values, a graph or an equation in y = mx + b form; c. determine independent and dependent variable, given a practical situation modeled by a linear function; d. graph a linear equation in y - mx + b form; and e. make connections between and among representations of a linear function using verbal descriptions, tables, equations, and graphs. Determining Unknown Reasoning ally Determining Unknown Introduction to s Introduction to s From Proportions to Graphing Quantitative 2: Into the Unknown 1: No Substitution for Hard Work 3: One or More X s to One Y 4: Over the River and Through the Woods 2: Once Upon a Graph 2: Jack and Jill Went up the Hill 3: Slippery Slopes 4: Up, Down, and All Around 1: U.S. Shirts 2: At the Arcade Driving Driving 1: Every Graph Tells a Story 1: U.S. Shirts 2: At the Arcade Deriving Numeric and s and Models s and Models s and Models s and Models s and Models Relations and s Relations and s Writing of Lines Models Writing of Lines 2: Evaluating Multi-Step 3: Evaluating with Multiple Variables 1: Exploring s 2: Exploring Graphs of s 3: Classifying Relations and s 1: Exploring s 4: Identifying Key Characteristics of s 5: Modeling s using Multiple Representations 1: Graphing Given Slope and y-intercept 2: Graphing Given a Decimal Slope and y-intercept 5: Modeling s using Multiple Representations Grade 8 Middle School Math Solution: Table of Contents 4
5 The student will solve multistep linear equations in one variable with the variable on one of both sides of the equation, including practical problems that require the solution of a multistep linear equation in one variable. The student will solve multistep linear inequalities in one variable with the variable on one or both sides of the inequality symbol, including practical problems, and graph the solution on a number line. Modeling Solving 1: Strategic Solving 2: MP3s and DVDs 3: Tic-Tac Bingo of Solving with Variables on Both Sides 1: Solving Two-Step 2: Solving Multi-Step 1: Solving with Integers (No Type In) 2: Solving with Integers (Type In) 3: Solving with One Solution, Infinite and No Solutions Grade 8 Middle School Math Solution: Table of Contents 5
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