7th, 8th, & 9th Grade Math Drills & Exam Prep: Algebra Geometry Advanced Math

Hello and welcome to my 7th, 8th, & 9th Grade Math Drills & Strategies: Algebra Geometry Advanced Math  course, where we practice each week how to think like a Math expert! Each class we will explore new concepts, re-visit new variations of old concepts, and tie them all to tested problems from newly-released exams. This set of meetings is designed to bring the best exam prep skills to those students in most need of testing assistance. 

*Each meeting is designed as stand-alone lesson, so that a student can enroll at any point during the year and begin to immediately receive the instruction that they need to be academically successful as they move through each grade level. The core skills throughout this entire course are reasoning, logic, and rationality - as the College Board has specifically requested that these skills be tested above all else when determining what types of problems will be written into the exams. 

*Each enrolled student in this course will receive the most up-to-date of materials to use as a main reference point for all of the work completed throughout this course. This Ongoing subscription-based course is designed to be an ever-continuous stream of new material and practice problems, designed to reinforce Common Core Standards of content knowledge and critical thinking skills.  

*Each meeting is designed to explain in full details a handful of concepts that are widely-tested . These concepts are then tied directly to practice problems and drills from newly-released exams and educational material. This method allows for a student in any one of the three grade-levels (and at any point during the duration of the course) to enroll and immediately begin receiving the academic instruction that they need. 


The Rules of Zero

The Multiplication Table

Working with Negative Numbers

Order of Operations

Factors and Multiples 

Fractions

Percents 

Exponents

Square Roots

Simple Algebraic Equations

Solve for Variable

Percent Algebra

GEOMETRY

Weird Shapes

-Shaded Regions—Middle and Upper Levels Only

-PRACTICE DRILL 7—MIDDLE AND UPPER LEVELS ONLY

MATH REVIEW

“PRACTICE DRILL 6—WORKING BACKWARD AS MUCH AS YOU CAN”

“PRACTICE DRILL 7—ALL ANALOGIES TECHNIQUES”

RATIOS/FUNCTIONS:

PRACTICE DRILL 3—RATIOS

-PRACTICE DRILL 4—PLUGGING IN

-PRACTICE DRILL 5—PLUGGING IN THE ANSWERS (PITA) 

-PRACTICE DRILL 6 —FUNCTIONS 

“(PERSONAL) ORDER OF DIFFICULTY

USING YOUR CALCULATOR

MATH DEFINITIONS

EQUATIONS AND INEQUALITIES

SIMULTANEOUS EQUATIONS

“WRITING YOUR OWN EQUATIONS

“Math Basics Drill 2

THE COORDINATE PLANE

“Math Basics Drill 3

CHARTS AND GRAPHS

THE BOX PLOT

“GRIDS-INS: THE BASICS

“Math Basics Drill 4

MATH TECHNIQUES

PLUGGING IN

MEANING IN CONTEXT

“Math Techniques Drill 1

“PLUGGING IN THE ANSWERS (PITA)

“Math Techniques Drill 2

DATA ANALYSIS

Median

PROBABILITY

PERCENTS

RATIOS AND PROPORTIONS

Direct Variation

Inverse Variation

Math Techniques Drill 3

ADVANCED MATH

Math Techniques Drill 3

QUADRATIC EQUATIONS

SOLVING RATIONAL EQUATIONS

ABSOLUTE VALUES

GROWTH AND DECAY

ANALYSIS IN SCIENCE

Advanced Math Drill

MATH TECHNIQUES:

-PLUGGING IN 

-PLUGGING IN THE ANSWERS (PITA)

-DATA ANALYSIS

-PROBABILITY

-PERCENTS

-GROWTH AND DECAY

-RATIOS AND PROPORTIONS

-DIRECT/INDIRECT VARIATION 


ADVANCED MATH CONCEPTS: 

-FUNCTIONS

-QUADRATIC EQUATIONS

-ANALYSIS IN SCIENCE

-MEANING IN CONTEXT


Additional Math Topics: 

-GEOMETRY

-TRIANGLES

-SOHCAHTOA

-CIRCLES

-VOLUME

-PLUGGING IN ON GEOMETRY

-IMAGINARY AND COMPLEX NUMBERS


Math Fundamentals:

*Math Definitions* 

Drills:

-TYPES OF NUMBERS
-FACTORS OF NUMBERS,
-PRIME FACTORIZATION,
-LEAST COMMON MULTIPLE AND GREATEST COMMON FACTOR,
-ORDER OF OPERATIONS, PEMDAS,
-FRACTIONS, MIXED NUMBERS, ADDING AND SUBTRACTING FRACTIONS, MULTIPLYING AND DIVIDING FRACTIONS
-PERCENTAGES
-RATIOS AND PROPORTIONS
-ABSOLUTE VALUE
-REAL NUMBERS AND THEIR IMAGINARY FRIENDS
-RATIONAL NUMBERS AND THEIR IRRATIONAL FRIENDS
-SCIENTIFIC NOTATION
-QUADRATIC FORMULA: ROOTS, SOLUTIONS, AND X-INTERCEPTS
-DISCRIMINANTS
-EXPONENTS AND SQUARE ROOTS  
-EQUATIONS AND INEQUALITIES, 
-SOLVING RATIONAL EQUATIONS, 
-EXTRANEOUS SOLUTIONS, 
-SIMULTANEOUS EQUATIONS, 
-WRITING YOUR OWN EQUATIONS, 
-THE COORDINATE PLANE (PRE-ALGEBRA + GEOMETRY)
-CHARTS AND GRAPHS
-THE BOX PLOT, GRIDS-INS: THE BASICS

Algebra 1 & 2:

How to use variables to your advantage 

Testing strategy: Plugging In

Strategy: Hidden Plug-Ins

Plugging in the Answers

Algebra Drill
 
Algebra 1: 
-Polynomials
-Factoring polynomials
-Solving Series of Equations
-Exponents
-Word Problems - turning words into Algebra
-Distance, Rate, and Time

Algebra 2:
-Inequalities
-Functions
-Logarithms
-Matrices
-Quadratic Formula
-Direct and Inverse Variation
-Arithmetic and Geometric Sequences
-Complex numbers

*2022 Diagnostics Practice Test Problems*

Coordinate and Plane Geometry:

Strategies: POE, Ballparking, and Scaling

-Angles and Lines
-Triangles
-ACT Triangle Problems 
-Four-sided figures
-Circles
*Geometry Drill*

-Graphing inequalities
-Graphing in two dimensions
-Graphing guesstimation
-Important coordinate geometry formulas
-Circles, ellipses, and parabolas
*Geometry Drill*

-2022 Diagnostic Exams Practice Problems 

Trigonometry and Advanced Math:

Math Advanced Concepts 

-Circle Equation
-Complex Numbers
-Cylinders 
-Polynomial Factors and Roots 
-Surveys
-Trigonometry 
-Completing the Square 
-Exponential Growth and Decay 
-Parabola Graphing 
-Rectangular Prisms 
-Standard Deviation 
-Unit Circle 

TRIGONOMETRY
-SOHCAHTOA
-THE UNIT CIRCLE: TRIG IN THE UNIT CIRCLE 
-ADVANCED TRIGONOMETRY
-TRIGONOMETRY DRILLS

ADVANCED CONCEPTS
-LOGARITHMS
-MADSPM
-VECTORS
-MATRICES: MULTIPLYING MATRICES
-ADVANCED MATH DRILLS 

STATISTICS AND PROBABILITY 
-MEAN, MEDIAN, AND MODE
-Simple Counting Problems (Overlapping Numbers)
-Probability and Combinations
-Data Collection Methods
-Range, Standard Deviation, and Normal Distribution
-Permutations and Combinations

*2022 Exam Practice Problems*

Pre-ACT SCIENCE Types of Testing Strategies, Skills, Concepts, & Drills:

-SCIENCE Testing Strategy: Prioritize 

-Introduction to SCIENCE 

-SCIENCE Testing Strategy: Apply Logic & Common Sense 

-Scientific Reasoning Skills

-SCIENCE Testing Strategy: Be “Trendy” 

-Science: The basic Approach 

-SCIENCE Testing Strategy: Ignore “Sciency” Language 

-Dual Science Passages

-SCIENCE Testing Strategy: Read the Questions Carefully

-SCIENCE Testing Strategy: Predict Answers 

-SCIENCE Testing Strategy: The Scientific Method

*Drills and 2022 Exam Problems*