Grade 6 Middle School Math Solution Table of Contents: Virginia State Standards Alignment

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1 NUMBER AND NUMBER SENSE 6.1 The student will represent relationships between quantities using ratios, will use appropriate notations. 1: s 1: It s All Relative 2: Going Strong 3: Oh, Yes, I Am the Muffin Man 4: A Trip to the Moon 5: They re Growing 6: One Is Not Enough Rate Problem Solving using Rate 1: Understing Relationships 2: Equivalent s 3: Multiple Representations of s 1: Problem Solving with Equivalent s Rates using Tables 2: Problem Solving with Equivalent s Rates using Double Number Lines 3: Problem Solving with Equivalent s Rates using Graphs 6.2 a. The student will represent determine equivalencies among fractions, mixed numbers, decimals, percents; 2: Percents 1: We Are Family s, Rates, Percents Introduction to Percent 2: Fraction, Decimal, Percent Conversions b. will compare order positive rational numbers 2: nal 1: nally a. The student will identify represent integers; 1: Signed 1: Human Number Line Integers 1: Introduction to Negative 2: Representing Integers on a Number Line 6.3 b. compare order integers; c. identify describe absolute value of integers. Moving 1: Signed 2: Magnificent Magnitude Integers 3: Using Absolute Value 6.4 The student will recognize represent patterns with whole number exponents perfect squares. : Table of Contents 1

2 COMPUTATION AND ESTIMATION a. The student will multiply divide fractions mixed numbers; 2: nal 2: Did You Get the Part 3: Yours IS to Reason Why Fraction Division 1: Representing Fraction Division 2: Interpreting Remainders using Models 3: Developing the Fraction Division Algorithm 4: Multiplying Dividing nal 6.5 b. solving single-step multistep practical problems involving addition, subtraction, multiplication, division of fractions mixed numbers; 2: nal 2: Did You Get the Part 3: Yours IS to Reason Why c. solve mutlistep practical problems involving addition, subtraction, multiplication, division of decimals. 3: Decimals Volume 1: Length, Width, Depth : Table of Contents 2

3 a. The student will add, subtract, multiply, divide integers; 1: Adding Subtracting nal 2: Multiplying Dividing nal 1: Math Football 2: Walk the Line 3: Two-Color Counters 4: What s the Difference 5: All Mixed Up 1: Equal Groups 2: Be nal Operating Integer 1: Adding Subtracting Negative Integers 2: Using Number Lines to Add Subtract Integers 3: Multiplying Dividing Integers 6.6 b. solve practical problems involving operations with integers; 1: Adding Subtracting nal 2: Multiplying Dividing nal 1: Math Football 2: Walk the Line 3: Two-Color Counters 4: What s the Difference 5: All Mixed Up 1: Equal Groups 2: Be nal c. simplify numerical expressions involving integers. 2: Multiplying Dividing nal 3: Building a Wright Brothers Flyer 4: Properties Schmoperties Operating Integer 4: Using Order of to Simplify Numeric Expressions (No Type In) 5: Using Order of to Simplify Numeric Expressions (No Type In) : Table of Contents 3

4 MEASUREMENT AND GEOMETRY a. The student will derive Pi; 1: Circles 1: Pi: The Ultimate 6.7 b. solve problems, including practical problems, involving circumference area of a circle; 1: Circles 2: That s a Spicy Pizza 3: Circular Circles 1: Calculating Circumference Area of Circles c. solve problems, including practical problems, involving area perimeter of rectangles. 1: Factors Area 2: All About that Base Height a. The student will identify the components of the coordinate plane; 2: The Four Quadrants 1: Four Is Better than One 6.8 b. identify coordinates of a point graph ordered pairs in the coordinate plane. 2: The Four Quadrants 1: Four Is Better than One The Coordinate Plane 1: Exploring Symmetry on the Coordinate Plane 2: Identifying Interpreting Ordered Pairs 3: Plotting Points 6.9 The student will determine the congruence of segments, angles, polygons. Course 3 Transforming Geometric Objects 1: Rigid Motion Transformations 1: Patty Paper, Patty Paper : Table of Contents 4

5 PROBABILITY AND STATISTICS a. Represent data in a circle graph. b. Make observations inferences about data represented in a circle graph. c. Compare circle graphs with the same data represented in bar graphs, pictographs, line plots Represent the mean of a data set graphically as the balance point. Determine the effect on measures of center when a single value of data set is added, removed, or changed. Describing Variability of Describing Variability of Describing Variability of 1: The Static Process 2: Numerical 2: Numerical 1: What s Your Question? 1: In the Middle 2: You Choose Wisely Numerical Numerical 1: Calculating Mean, Median, Mode, Range 2: Determining Appropriate Measure 3: Measuring the Effects of Changing Sets : Table of Contents 5

6 PATTERNS, FUNCTIONS, AND ALGEBRA a. The student will represent a proportional relationship between two quantities, including those arising from practical situations; b. determine the unit rate of a proportional relationship use it to find a missing value in a ratio table; c. determine whether a proportional relationship exists between two quantities; d. make connections between among representations of a proportional relationship between two quantities using verbal descriptions, ratio tables, graphs. The student will solve onestep linear equations in one variable, including practical problems that require the solution of a one-step linear equation in one variable. a. The student will represent a practical situation with a linear inequality in one variable, ; b. solve one-step inequalities in one variable, involving addition or subtraction graph the solution. Determining Unknown Reason Algebraically 2: Fractional Rates 3: Tagging Sharks 4: Proportional Relationships 3: Unit Rates Conversions 2: Where s the Best Buy? 3: Seeing Things Differently 2: Fractional Rates 3: Tagging Sharks 3: Proportionality 2: Equations 2: Two-Step Equations Inequalities 1: How Does Your Garden Grow 2: Play in Reverse 3: Getting Real Expressions that Play Together Determining Unknown Determining Unknown Proportional Rate Solving One-Step Equations Solving One-Step Inequalities 1: Solving Proportions using Equivalent s 5: Comparing Rates 1: Solving One-Step Equations with a Balance 2: Representing One-Step Equations 3: Using Substitution to Identify Solutions to Equations 4: Solving with Addition Subtraction (No Type In) 5: Solving with Multiplication (No Type In) 6: Solving One-Step Equations (Type In) 1: Graphing Inequalities with nal : Table of Contents 6

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