Grade 8 Online Math Tutorial12 (hrs)
Nov 06, 2020 20201124 12:40Grade 8 Online Math Tutorial12 (hrs)
Grade 8 Online Math Tutorial12 (hrs)
Studentsâ€™ knowledge of operations on numbers is expanded to include operations on numbers in integer exponents. Learn about translations, reflections, and rotations in the plane and, more importantly, how to use them to precisely define the concept of congruence.Â Congruence has been taken to mean, intuitively, same size and same shape. Translations, reflections, and rotations are examples of rigid motions, which are, intuitively, rules of moving points in the plane in such a way that preserves distance.
Students learn about dilation and similarity and apply that knowledge to a proof of the Pythagorean theorem based on the angleangle criterion for similar triangles. Extend what they already know about unit rates and proportional relationships to linear equations and their graphs.
Students use their understanding of functions to model the relationships of bivariate data.Â This module is important in setting a foundation for studentsâ€™ work in Algebra I and also begins with work related to the Pythagorean theorem and right triangles.

Integer Exponents and Scientific Notation
 Exponential Notation Copy
 Multiplication of Numbers in Exponential Form Copy
 Numbers in Exponential Form Raised to a Power Copy
 Numbers Raised to the Zeroth Power Copy
 Negative Exponents and the Laws of Exponents Copy
 Proofs of Laws of Exponents Copy
 Magnitude Copy
 Estimating Quantities Copy
 Scientific Notation Copy
 Operations with Numbers in Scientific Notation Copy
 Efficacy of Scientific Notation Copy
 Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology Copy

The Concept of Congruence
 Definitions and Properties of the Basic Rigid Motions Copy
 Sequencing the Basic Rigid Motions Copy
 Angles Associated with Parallel Lines Copy
 Angle Sum of a Triangle Copy
 More on the Angles of a Triangle Copy
 Informal Proof of the Pythagorean Theorem Copy
 Applications of the Pythagorean Theorem Copy

Similarity
 Properties of Dilations Copy
 Fundamental Theorem of Similarity Copy
 First Consequences of FTS Copy
 Dilations on the Coordinate Plane Copy
 Informal Proof of AA Criterion for Similarity Copy
 Modeling Using Similarity Copy
 Proof of the Pythagorean Theorem Copy
 The Converse of the Pythagorean Theorem Copy

Linear Equations
 Writing Equations Using Symbols Copy
 Linear and Nonlinear Expressions in đť‘Ą Copy
 Solving a Linear Equation Copy
 Solutions of a Linear Equation Copy
 Linear Equations in Disguise Copy
 An Application of Linear Equations Copy
 Linear Equations in Two Variables Copy
 The Graph of a Linear Equation in Two Variables Copy
 The Graph of a Linear Equationâ€•Horizontal and Vertical Lines Copy
 The Slope of a NonVertical Line Copy
 The Computation of the Slope of a NonVertical Line Copy
 The Line Joining Two Distinct Points of the Graph đť‘¦=đť‘šđť‘Ą+đť‘Ź Has Slope đť‘š Copy

Examples of Functions from Geometry

Linear Functions
 Modeling Linear Relationships Copy
 Interpreting Rate of Change and Initial Value Copy
 Representations of a Line Copy
 Increasing and Decreasing Functions Copy
 Scatter Plots Copy
 Patterns in Scatter Plots Copy
 Informally Fitting a Line Copy
 Determining the Equation of a Line Fit to Data Copy
 Using Linear and Non Linear Models in a Data Context Copy
 Summarizing Bivariate Categorical Data in a TwoWay Table Copy
 Association Between Categorical Variables Copy

Introduction to Irrational Numbers Using Geometry
 The Pythagorean Theorem Copy
 Square Roots Copy
 Existence and Uniqueness of Square Roots and Cube Roots Copy
 Solving Equations with Radicals Copy
 Finite and Infinite Decimals Copy
 Infinite Decimals Copy
 The Long Division Algorithm Copy
 Decimal Expansions of Fractions Copy
 Converting Repeating Decimals to Fractions Copy
 The Decimal Expansion of Some Irrational Numbers Copy
 Comparing Irrational Numbers Copy