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