Grade 6 Online Math Tutorial12 (hrs)
Nov 06, 2020 20201124 12:46Grade 6 Online Math Tutorial12 (hrs)
Grade 6 Online Math Tutorial12 (hrs)
Students are introduced to the concepts of ratio and rate. Their previous experience solving problems involving multiplicative comparisons serves as the conceptual foundation for understanding ratios as a multiplicative comparison of two or more numbers used in quantities or measurements. Students develop fluidity in using multiple forms of ratio language and ratio notation. They construct viable arguments and communicate reasoning about ratio equivalence as they solve ratio problems in realworld contexts.
Students complete their understanding of the four operations as they study division of whole numbers, division by a fraction, and operations on multidigit decimals. This expanded understanding serves to complete their study of the four operations with positive rational numbers, thereby preparing students for understanding, locating, and ordering negative rational numbers and algebraic expressions.
Students extend their arithmetic work to include using letters to represent numbers. Students determine that letters are used to represent specific but unknown numbers and are used to make statements or identities that are true for all numbers or a range of numbers.
Students move from building arrays to using arrays to find area and eventually move to decomposing threedimensional shapes into layers that are arrays of cubes. Utilize their previous experiences in shape composition and decomposition in order to understand and develop formulas for area, volume, and surface area. Students used bar graphs and line plots to represent data and then solved problems using the information presented in the plots. Move from simply representing data into analyzing data.

Ratios and Unit Rates

Collections of Equivalent Ratios
 Tables of Equivalent Ratios Copy
 The Structure of Ratio Tables—Additive and Multiplicative Copy
 Comparing Ratios Using Ratio Tables Copy
 From Ratio Tables to Double Number Line Diagrams Copy
 From Ratio Tables to Equations Using the Value of a Ratio Copy
 From Ratio Tables, Equations, and Double Number Line Diagrams to Plots on the Coordinate Plane Copy
 A Synthesis of Representations of Equivalent Ratio Collections Copy

Arithmetic Operations Including Division of Fractions
 Interpreting Division of a Fraction by a Whole Number—Visual Models Copy
 Interpreting Division of a Whole Number by a Fraction—Visual Models Copy
 Interpreting and Computing Division of a Fraction by a Fraction—More Models Copy
 Creating Division Stories Copy
 More Division Stories Copy
 The Relationship Between Visual Fraction Models and Equations Copy
 Dividing Fractions and Mixed Numbers Copy
 Sums and Differences of Decimals Copy
 The Distributive Property and the Products of Decimals Copy
 Fraction Multiplication and the Products of Decimals Copy
 Estimating Digits in a Quotient Copy
 Dividing MultiDigit Numbers Using the Algorithm Copy
 The Division Algorithm—Converting Decimal Division into Whole Number Division Using Fractions Copy
 The Division Algorithm—Converting Decimal Division into Whole Number Division Using Mental Math Copy

Rational Numbers
 Positive and Negative Numbers on the Number Line—Opposite Direction and Value Copy
 RealWorld Positive and Negative Numbers and Zero Copy
 The Opposite of a Number Copy
 The Opposite of a Number’s Opposite Copy
 Rational Numbers on the Number Line Copy
 Ordering Integers and Other Rational Numbers Copy
 Comparing Integers and Other Rational Numbers Copy
 Writing and Interpreting Inequality Statements Involving Rational Numbers Copy
 Absolute Value—Magnitude and Distance Copy
 The Relationship Between Absolute Value and Order Copy
 Ordered Pairs Copy
 Locating Ordered Pairs on the Coordinate Plane Copy
 Symmetry in the Coordinate Plane Copy
 Drawing the Coordinate Plane and Points on the Plane Copy
 Distance on the Coordinate Plane Copy
 Problem Solving and the Coordinate Plane Copy

Expressions and Equations
 The Relationship of Addition and Subtraction Copy
 The Relationship of Multiplication and Division Copy
 The Relationship of Multiplication and Addition Copy
 The Relationship of Division and Subtraction Copy
 Exponents Copy
 The Order of Operations Copy
 Replacing Letters with Numbers Copy
 Replacing Numbers with Letters Copy
 Writing Addition and Subtraction Expressions Copy
 Writing and Expanding Multiplication Expressions Copy
 Factoring Expressions Copy
 Distributing Expressions Copy
 Writing Division Expressions Copy
 Read Expressions in Which Letters Stand for Numbers Copy

Area, Surface Area, and Volume Problems
 The Area of Parallelograms Through Rectangle Facts Copy
 The Area of Right Triangles Copy
 The Area of Acute Triangles Using Height and Base Copy
 The Area of All Triangles Using Height and Base Copy
 The Area of Polygons Through Composition and Decomposition Copy
 Distance on the Coordinate Plane Copy
 Drawing Polygons in the Coordinate Plane Copy
 Determining Perimeter and Area of Polygons on the Coordinate Plane Copy
 Volume with Fractional Edge Lengths and Unit Cubes Copy
 From Unit Cubes to the Formulas for Volume Copy
 The Formulas for Volume Copy
 Representing ThreeDimensional Figures Using Nets Copy
 Constructing Nets Copy
 From Nets to Surface Area Copy

Statistics
 Posing Statistical Questions Copy
 Displaying a Data Distribution Copy
 Creating a Dot Plot Copy
 Creating a Histogram Copy
 Describing a Distribution Displayed in a Histogram Copy
 Describing the Center of a Distribution Using the Mean Copy
 The Mean as a Balance Point Copy
 Variability in a Data Distribution Copy
 The Mean Absolute Deviation (MAD) Copy
 Describing Distributions Using the Mean and MAD Copy
 Describing the Center of a Distribution Using the Median Copy
 Describing Variability Using the Interquartile Range (IQR) Copy
 Summarizing a Distribution Using a Box Plot Copy
 Understanding Box Plots Copy
 Developing a Statistical Project Copy
 Connecting Graphical Representations and Numerical Summaries Copy