Math

Below are the general Math topics included in our structured TLC tutoring curriculum and content. This is a general overview of our topics and does not include additional subtopics and details that we may cover in students’ sessions.

Kindergarten

  • Counting 0-100
  • Counting Images
  • More/Less/Equal
  • Greater/Smaller Numbers
  • Missing Numbers
  • Patterns
  • Count by Tens
  • Part-Part Whole
  • Halves/Equal Parts
  • Word Problems
  • Money Identification
  • Calendar Days/Weeks/Months
  • Opposites
  • Shapes
  • Comparing Shapes
  • Identifying Shapes in Real Images
  • Bar Graphs
  • Objects Similarities & Differences
  • Counting Backwards
  • Randomly Identifying Numbers 0-100
  • Collect, Organize and Represent Data
  • Read & Interpret Data in Object/Picture Graphs & Tables
  • Sort & Classify Objects

1st Grade

  • Counting 0-110
  • Counting Objects
  • Counting Forward/Backwards (1-3 digits)
  • Counting by Twos & Fives 
  • Place Value: Ones, Tens in 2 digit numbers
  • Less, Greater, Equal
  • Ordinal Numbers
  • Word Problems
  • Equal Parts/Halves, Thirds and Fourths
  • Reasonable Order (1-3 digits)
  • Value of Collection of Money (Pennies, Nickels, Dimes)
  • Time (Analog & Digital Clocks)
  • Interpret Calendar
  • Measuring Using Nonstandard Units
  • Identifying & Sorting Plane Figures
  • Describing Representation of Shapes in Different Environments
  • Collect, Organize, Represent Data Using Tables & Picture/Object Graphs
  • Sort & Classify Concrete Objects
  • Describe & Extend Growing & Repeating Patterns
  • Addition & Subtraction (1 through 10)
  • Equality/Inequality

2nd Grade

  • Two-Step Word Problems
  • Money Value
  • Money Value Word Problems
  • Cent & Dollar Symbols with Decimal Point
  • Estimate & Measure
  • Add & Subtract (2 digit numbers)
  • Time (Digital & Analog)
  • Calendar Dates, Past & Future Days of the Week
  • Addition (2-3 digit numbers)
  • Subtraction (2-3 digit numbers)
  • Rounding Tens (2-6 digit numbers) 
  • Ordinal Sequence (2-3 digit numbers)
  • Fractions (sixths, eighths)
  • Representing Fractional Parts w/Symbols
  • Comparing Unit Fractions
  • Temperature Reading
  • Lines of Symmetry
  • Comparing & Contrasting Plane & Solid Figures 
  • Interpreting Data in Pictographs & Bar Graphs 
  • Objects, Pictures, and Number Patterns
  • Equal Symbol vs. Non-Equal Symbol

3rd Grade

  • Place Value (3-6 digits)
  • Rounding Tens
  • Rounding Hundreds
  • Rounding Thousands
  • Ordinal Numbers & Fractions
  • Comparing Fractions
  • Rounding with Addition/Subtraction
  • Fractions: Image Identification
  • Multiplication
  • Even vs Odd (4 digits) & Short Division
  • Word Problems Sum/Difference/Multiplication/Division
  • Estimating Sum or Difference
  • Multiplication Facts (0, 1, 2, 5, and 10)
  • Multiplication & Division  (through 10 x 10)
  • Single-Step Word Problems (Multiplication of Whole Numbers- 2 digit x 1 digit)
  • Adding & Subtracting Fractions 
  • Value of Bills, Coins (2 sets of coins & bills) & Making Change
  • Estimating Length (Inch, Foot, Yard, Centimeter & Meter)
  • Liquid Volume (Cups, Pints, Quarts, Gallons & Liters)
  • Estimating Perimeters of Polygons
  • Counting Square Units for Surface Coverage
  • Time (Nearest Minute, Practical Problems Using Analog & Digital Clocks)
  • Reading Temperature to Nearest Degree
  • Define & Name Polygons
  • Congruent & Non-Congruent Figures
  • Probability & Statistics (Collecting, Organizing, Reading & Interpreting Data)
  • Creating Equations
  • Identifying, Describing, Creating and Extending Patterns found in Objects

4th Grade

  • Single & Multi Step Practical Problems (Addition | Subtraction)
  • Place Value (9 digits)
  • Single Step Practical Problems (Multiplication | Division)
  • Compare and Order Whole Numbers (Through Millions)
  • Round Whole Numbers (Thousand, Ten Thousand, Hundred Thousand)
  • Compare and Order Fractions & Mixed Numbers
  • Represent Equivalent Fractions
  • Identify Division Statements
  • Identify Decimals (Through Thousandths)
  • Rounding Decimals (Nearest Whole Number)
  • Compare and Order Decimals
  • Decimal & Fraction Equivalents
  • Demonstrate Fluency w/Multiplication Facts (Through 12 x 12)
  • Demonstrate Fluency w/Division Facts (Through 12/12)
  • Estimate Sums | Differences & Products of Whole Numbers
  • Common Multiple Factors (LCM & GCF)
  • Add/Subtract Fractions & Mixed Numbers (w/Like & Unlike Denominators)
  • Single Step Practical Problems w/Fractions & Mixed Numbers (Add/Subtract)
  • Add/Subtract Decimals 
  • Single Step Practical Problems w/Decimals 
  • Determining Perimeter & Area In Metric Units
  • Estimating Length
  • Estimating Weight/Mass
  • Time Practical Problems (Elapsed Time in Hours/Minutes- 12HR Period)
  • Identifying & Describing Points, Lines, Segments, Rays, Angles, Endpoints, and Vertices
  • Compare/Contrast Plane & Solid Figures Based on Characteristics (Angles, Vertices, Edges, Faces)
  • Quadrilaterals (Parallelograms, Rectangles, Squares, Rhombi, Trapezoids)
  • Representing Probabilities
  • Collecting, Interpreting & Comparing Data in Bar/Chart/Line Graphs, and Pictographs
  • Pattern Description & Extension in Objects, Pictures, Numbers and Tables
  • Demonstrate Equality in an Equation

5th Grade

  • Rounding Decimals
  • Comparing Fractions & Decimals
  • Identifying Prime & Composite Numbers
  • Single & Multi-Step Problems of Whole Numbers (Add | Subtract | Multiply | Divide)
  • Single & Multi-Step Problems of Whole Numbers (Multiply | Divide)
  • Comparing and Ordering Fractions, Mixed Numbers & Decimals
  • Even & Odd Numbers
  • Product & Quotient of Numbers w/Decimals
  • Single & Multi-Step Problems of Fractions & Mixed Numbers (Add | Subtract | Multiply | Divide)
  • Order of Operations (Simplifying Whole Numbers)
  • Product & Quotient of Two Numbers w/Decimals
  • Perimeter, Area, and Volume of Measure
  • Length, Mass, and Liquid Volume Using Metrics
  • Diameter, Radius, Chord, and Circumference of a Circle
  • Elapsed Time (24 HR Period)
  • Classify & Measure Right, Acute, Obtuse & Straight Angles
  • Classifying Triangles (Right, Acute, or Obtuse & Equilateral, Scalene, or Isosceles) 
  • Sum of Interior Angles in Triangles
  • Results of Combining and Subdividing Polygons
  • Probability of Outcome w/Fundamental/Basic Counting Principle
  • Represent, Interpret & Compare Data in Line & Stem-and-Leaf Plots
  • Mean, Median & Mode
  • Patterns in Objects, Pictures, Numbers, and Tables
  • Concept of Variables & Equations with Variables
  • Expression w/One Operation
  • Problem w/Single Variable & One Operation

6th Grade

  • Ratios & Scientific Notation
  • Equal Fraction/Decimal/Percentage, Rational/Irrational Numbers
  • Integer Opposites, Ordinal Decimals/Rational Numbers
  • Absolute Value, Comparing Positive/Negative Numbers
  • Squared, Cubed Roots
  • Fractions (Multiplication | Division)
  • Identifying Variables in Equations
  • Integers (Multiplication | Division)
  • Derive Pi
  • Circumference & Area of Circle
  • Area & Perimeter of Triangles and Rectangles
  • Components of Coordinate Plane
  • Point Coordinates & Graphing
  • Congruence of Segments, Angles, and Polygons
  • Represent & Compare Data in Circle Graph
  • Mean of a Data Set
  • Proportional Relationships between Quantities
  • One-Step/One Variable Linear Equations
  • Solutions of One Step Linear Equations
  • Linear Inequality in One Variable
  • One-Step Linear Inequalities (Addition | Subtraction)
  • Graphing Linear Inequalities in One Variable on a Number Line

7th Grade

  • Linear Equations
  • Algebraic Expressions
  • Algebraic Equations
  • Polygons
  • Comparing & Ordering Rational Numbers
  • Negative Exponents for Powers of Ten
  • Square Roots of Perfect Squares
  • Identifying & Describing Absolute Value of Rational Numbers
  • Comparing & Ordering Numbers Written in Scientific Notation
  • Practical Problems involving Operations w/Rational Numbers
  • Single & Multi-step Problems Using Proportional Reasoning
  • Describing Volume & Surface Area of Rectangular Prisms & Cylinders
  • Practical Problems w/Volume & Surface Area of Rectangular Prisms & Cylinders
  • Compare/Contrast Quadrilaterals Based On Properties
  • Practical Problems w/Angles of Similar Quadrilaterals & Triangles
  • Apply Translations & Reflections of Right Triangles or Rectangle in the Coordinate Plane
  • Theoretical & Experimental Probabilities
  • Histogram Representations, Observations, and Comparisons
  • One & Two-Step Linear Inequalities in One Variable (Add | Subtract | Multiply | Divide)

8th Grade

  • Comparing & Ordering Real Numbers
  • Subset of Real Numbers
  • Proportional Reasoning
  • Consecutive Integers of Square Roots
  • Positive & Negative Square Roots
  • Practical Problems with Consumer Applications
  • Pairs of Angles
  • Volume & Surface Area
  • Rectangular Prism Changes
  • Pythagorean Theorem
  • Perimeter Problems
  • Simplifying Algebraic Expressions
  • Solving Multi-step Equations and Inequalities
  • Graphing Linear Functions
  • Compare/Contrast Probability of Independent & Dependent Events
  • Determine Probability of Independent & Dependent Events
  • Represent & Make Inferences about Data in Boxplots
  • Compare & Analyze Two Data Sets Using Boxplots
  • Represent & Make Observation Data in Scatterplots
  • Drawing to Estimate Line of Best Fit for Data in Scatterplots
  • Evaluating & Simplifying Algebraic Expressions in One Variable
  • Determining Functions
  • Domain & Range of Functions
  • Graphing Linear Functions (Positive, Negative, Zero Slope)
  • Graphing Linear Equations given in y = mx + b
  • Multi-step Linear Equations
  • Multi-step Linear Inequalities

9th-12th Grade

  • Absolute Value, Decimals as Fractions, Simplifying Square Roots
  • Cubed Roots, Expressions, Rational/Irrational Numbers, Positive/Negative Identification
  • Natural, Real, Whole, Rational Numbers, Multiplying/Dividing Positive/Negative Numbers
  • Monomial/Binomial/Trinomial/Polynomial Algebraic Expressions
  • Algebraic Expression Evaluation
  • Solving Algebraic Expressions
  • Simplifying Square Roots
  • Simplify & Order Expressions
  • Geometry
  • Advanced Algebra/Algebra II
  • Trigonometry
  • Pre-Calculus
  • Math Analysis
  • Statistics

Advanced High School (As Tutors Are Available)

  • Accounting
  • Engineering Math
  • College Algebra
  • College Probability/Statistics

Reading | English | Literary Arts

Below are the general Reading, English, and Literary Arts topics included in our structured TLC tutoring curriculum and content. This is a general overview of our topics and does not include additional subtopics and details that we may cover in students’ sessions.

Kindergarten

  • Letter Identification
  • Lowercase & Uppercase Identification
  • Word Identification (Same vs. Different)
  • Rhyming Words
  • Vowels & Consonants
  • What/Who Am I? Identifying Objects Based on Description
  • Syllables
  • Synonyms & Antonyms
  • Punctuation
  • Which, When, What, Where
  • Correct Sentence Structure
  • Complete Sentencing
  • Critical Thinking: Object Identification based on Descriptions
  • Identifying Nouns
  • Critical Thinking
  • Identifying Missing Letters
  • Image & Word Matching
  • Lowercase Identification
  • Identifying Similar Words
  • Identifying Different Words
  • Reading Words
  • Role of Author & Illustrator
  • Text Features (Topics, Titles, Heading, Pictures)
  • Story Elements (Characters, Settings, Sequential Events)
  • Using Pictures to Make Predictions
  • Phonetically Spell Words that Describe Pictures
  • Pictures vs. Writing
  • Beginning & Ending Sentences
  • Pre-Writing Activities 
  • Printing letters
  • Writing First & Last Name
  • Writing/Composing Simple Sentences

1st Grade

  • Vowel Identification in Words
  • Rhyming Words
  • Syllables
  • Consonant Blends
  • Consonant Similarities/Differences
  • Short Vowel Sounds
  • Silent E Sounds
  • Singular & Plural Nouns
  • Sentence Completion
  • Sentence Components (Adjectives | Verbs)
  • Complete vs Incomplete Sentences
  • Word Syllables
  • Long Vowel Comparisons
  • Word Completion with Correct Consonants or Vowels
  • Plural Words
  • Punctuation
  • Word Patterns to Decode Unfamiliar Words
  • Using Phonemes to Make New Words
  • Blending Multi-syllabic Words
  • Reading & Spelling Compound Words
  • Semantic Clues & Syntax
  • Simple Reference Materials
  • Vocabulary and Meaning
  • Reading Comprehension
  • Space Words within Sentences
  • Organized Purposeful Writing
  • Writing with Editing for Capitalization & Punctuation 

2nd Grade

  • Syllables
  • Word Structure (Digraphs/Consonant Blends | Vowels)
  • Word Identification
  • Complete Sentences with Missing Words
  • Prefixes
  • Suffixes
  • Root Words
  • Synonyms
  • Antonyms
  • Long Vowels
  • Short Vowels
  • Silent E
  • Consonant Clusters
  • Reading Comprehension
  • Sentence Components Identification
  • Conjunctions
  • Fact vs. Opinion
  • Pronouns & Present Tense
  • Syllable Sorting
  • Homophones
  • Word Reference Materials
  • Summarizing Stories Based on Sequential Events (Beginning, Middle, End)
  • Non-Fiction Text Comprehension
  • Content Area Vocabulary
  • Signing First & Last Name
  • Writing in Narrative & Descriptive
  • Writing in Opinion & Expository
  • Edit Writing

3rd Grade

  • Word Recognition & Insertion
  • Proper Sentence Structure (Fragments, Compounds, Statements, Questions, etc.)
  • Proper Sentence Components
  • Vocabulary (Words | Definitions)
  • Reading Comprehension
  • Digraphs/Consonant Blends
  • Homophones
  • Fiction vs. Non-Fiction
  • Prefixes
  • Suffixes
  • Appropriate Verbs
  • Idioms
  • Identifying Appropriate Emotional Words
  • Correct Spelling
  • Fact v. Opinion
  • Cause | Effect
  • Root | Base Words
  • Word Drills | Vocabulary Building
  • Sentence Drills
  • Reading Comprehension
  • Author’s Purpose
  • Cursive Writing | Signing First & Last Name
  • Writing in Narrative & Descriptive
  • Writing in Opinion & Expository
  • Edit Writing

4th Grade

  • Word Drills | Vocabulary Building
  • Sentence Drills
  • Poems
  • Sentence Structure & Components (Subject | Verb | Subject-Verb Agreement)
  • Sentence Structure & Components (Noun| Pronoun | Noun-Pronoun Agreement)
  • Reading Comprehension
  • Past, Present, Future Tense
  • Homophones
  • Homonyms
  • Context Clues
  • Matching Mixed Letter Words with Definitions
  • Quotations
  • Word Reference Materials
  • Content Area Vocabulary
  • Identifying Conflict & Resolution
  • Reading Comprehension (Cause & Effect | Various Texts)
  • Writing Exercises
  • Writing in Narrative & Descriptive
  • Writing in Opinion & Expository
  • Edit Writing

5th Grade

  • Word Drills | Vocabulary Building
  • Sentence Drills
  • Cross-Curricular Reading Comprehension
  • Homophones
  • Homonyms
  • Root | Base Words
  • Reading Comprehension
  • Suffixes
  • Prefixes
  • Figurative Language
  • Word Reference Materials
  • Content Area Vocabulary
  • Context Clues
  • Comprehension (Fictional Texts | Literary Non-Fiction | Poetry)
  • Predicting & Categorizing Information
  • Organizational Patterns
  • Supporting Information for Opinions, Inferences, & Conclusions
  • Cause & Effect Relationships
  • Fact vs. Opinion
  • Compare/Contrast Details & Ideas
  • Using Reading Strategies
  • Purpose & Audience of Media Messages
  • Characteristics & Effectiveness of Media Messages
  • Compare | Contrast Techniques of Media Messages
  • Practical Writing Exercises
  • Writing in Narrative | Descriptive | Expository | Persuasive
  • Self & Peer-Edit Writing

6th Grade

  • Root | Base Words
  • Prefix & Suffix Meanings
  • Synonyms/Antonyms
  • Guide Words
  • Broad & Narrow Sentences/Statements
  • Personification
  • Synonyms/Antonyms
  • Idioms/Figurative Language
  • Figurative v. Literal Language
  • Word Drills | Vocabulary Building
  • General & Cross-Curricular Vocabulary
  • Context Clues
  • Reading Comprehension
  • Organizational Patterns
  • Word Reference Materials
  • Comprehension (Fictional Texts | Literary Non-Fiction | Poetry)
  • Skim Type, Headings, Graphics to Predict & Categorize Information
  • Summarizing Supporting Details
  • Conclusions & Inferences
  • Fact v. Opinion
  • Cause | Effect Relationships
  • Analyzing Ideas
  • Reading Strategies
  • Practical Writing Exercises
  • Writing in Narrative | Descriptive | Persuasive | Reflective
  • Self & Peer-Edit Writing

7th Grade

  • Word Drills | Vocabulary Building
  • Sentence Drills
  • Root | Base Words
  • Affixes
  • Reading Comprehension (Various Texts)
  • Figurative Language
  • Connotations
  • Context & Sentence Structure
  • Word Reference Materials
  • Cross-Curricular Vocabulary
  • Skim Type, Headings, Graphics to Predict & Categorize Information
  • Organizational Patterns Using Textual Clues
  • Fact v. Opinion
  • Identify the Source, Viewpoint & Purpose of Texts
  • Implicit & Explicit Evidence to Make Logical Inferences & Conclusions
  • Author’s Viewpoint
  • Cause/Effect Relationships
  • Organize & Synthesize Information
  • Analyze Ideas Providing Textual Evidence
  • Reading Strategies
  • Research Topics
  • Collecting, Organizing and Synthesizing Information from Multiple Sources
  • Analyzing Credibility of Resources
  • Using Proper Citations
  • Avoiding Plagiarism
  • Ethical Use of Internet when Researching
  • Practical Writing Exercises
  • Writing in Different Forms: Narrative | Descriptive | Persuasive | Reflective
  • Self & Peer-Edit Writing

8th Grade

  • Word Drills | Vocabulary Building
  • Synonyms & Antonyms
  • Connotative & Denotative (Concept & Definition | Identification | Language)
  • Etymology Vocabulary
  • Cause & Effect
  • Reading Comprehension (Author’s Qualifications, Point of View, & Overall Connotation, Formal & Informal Writing Comparison)
  • Cross-Curricular Vocabulary
  • Development of Themes
  • Use of Symbols and Figurative Language
  • Inferences & Conclusions
  • Comparing Various Texts
  • Identifying Author’s Style, Word Choice, Dialogue, Form, Rhyme, Rhythm, & Voice
  • Reading Strategies to Monitor Comprehension
  • Organizational Patterns, Transitional Words & Phrases
  • Analyzing Selections
  • Skimming to Develop or Locate Information
  • Differentiating Between Fact & Opinion
  • Main Idea & Summarizing Texts with Supporting Details
  • Evaluating, Organizing & Synthesizing Information
  • Using Evidence to Analyze Ideas
  • Strategies for Contributing to Collaborative Work
  • Research & Developing Presentations
  • Producing Creative or Informational Media Messages
  • Research/Collecting & Synthesizing Information from Multiple Resources
  • Citing Primary & Secondary Sources Using MLA & APA
  • Analyzing Credibility of Resources
  • Avoiding Plagiarism
  • Ethical Use of Internet when Researching
  • Writing in Different Forms
  • Self & Peer Edit Writing for Capitalization, Punctuation, Spelling, Sentence Structure, Paragraphing & Standard English

9th-12th Grade

  • Primary & Secondary Sources
  • Greek & Latin Root Words
  • Connotations
  • Reading Comprehension & Analyzing Various Texts
  • Figurative Language & Common Idioms
  • Cross-Curricular Vocabulary
  • Organizational Patterns
  • Inferences & Conclusions using Supporting Text
  • Structural Analysis of Roots, Affixes, Synonyms & Antonyms
  • Literary Texts from Different Cultures & Eras
  • Author’s Qualifications, Viewpoint & Impact
  • Author’s Intended Purpose for Writing and Identifying the Main Idea
  • Summarizing, Paraphrasing and Synthesizing Ideas
  • Characteristics of Expository, Technical & Persuasive Texts
  • Identifying Position/Argument
  • Evaluating Clarity & Accuracy of Information
  • Impact of Fact v. Opinion
  • Analyzing Ideas Between Selections and Providing Evidence
  • Reading Strategies
  • Analyze and Interpret Special Effects of Media Messages
  • Evaluate Motives (Social, Commercial, Political) Behind Media Presentations
  • Examine How Media Influences Beliefs, Behaviors, and Interpretations
  • Cause/Effect Between Mass Media Cover & Public Opinion Trends
  • Research/Collecting & Synthesizing Information from Multiple Resources
  • Citing sources for both Quoted and Paraphrased Information, Primary & Secondary Sources Using MLA & APA
  • Analyzing Credibility of Resources
  • Avoiding Plagiarism
  • Ethical Use of Internet when Researching
  • Practical Writing Exercise
  • Writing in Different Forms: Interpretive & Reflective
  • Writing in Different Forms: Persuasive/Argumentative-Reflective & Analytic
  • Self & Peer-Edit Writing for Standard English