Math: Lesson Topics Outline

Lesson No. Prerequisites Topic
01 None Numbers From 1 to 100
02 Numbers from 1 to 100 One More, One Less
03 One More, One Less Greater Than, Less Than, and As Many As
04 Numbers from 1 to 100 Reading and Writing Numbers Up to 100
05 None Place Value and Value
06 “Visualize and Represent Numbers Reading and Writing Numbers” Ordinal Numbers
07 None Comparing and Ordering Numbers Up to 100
08 None Recognize and Compare coins and bills up to 1000
09 None Concept of Addition
10 Concept of Addition Adding Two-Digit Numbers Without Regrouping
11 Concept of Addition Adding Two-Digit Numbers With Regrouping
12 Concept of Addition Properties of Addition
13 None Subtraction Concepts
14 Subtraction Concepts Subtracting within 100 without Regrouping
15 Subtraction Concepts Subtracting within 100 with Regrouping
16 Addition and Subtraction Concepts Addition and Subtraction are Parts of a Family
17 Addition and Subtraction Concepts Multiplication as Repeated Addition
18 Addition and Subtraction Concepts Properties of Multiplication
19 Multiplication Multiplication Facts of 2, 5, and 10
20 Multiplication Multiplication Facts of 3 and 4
21 Addition, Subtraction, and Multiplication Concepts Concept of Division
22 Multiplication Division as Opposite of Multiplication
23 None Simple Fractions
24 Addition, Subtraction, Multiplication, and Division Odd and Even Numbers
25 None More on Basic 2D Shapes
26 2D Shapes Identifying Common 3D Figures
27 None Telling Time
28 Telling Time Days of the Week
29 Days of the Week Months of the Year
30 None Measurement of Mass
31 2D Shapes Area Measurement
32 None Predicting Outcomes
Lesson No. Prerequisites Topic
01 None Numbers Up to 1,000
02 None Reading and Writing Numbers Up to 1,000
03 None Comparing and Ordering Numbers
04 None Ordinal Numbers
05 None Counting Money
06 None Properties of Addition
07 Addition (1 digit) Adding 2- to 3- Digit Numbers
08 None Adding 2- to 3- Digit Numbers With Regrouping
09 Addition Subtraction
10 Understanding Subtraction Facts Subtracting 2- to 3-Digit Numbers
11 Understanding Subtraction Facts Subtracting 2- to 3-Digit Numbers With Regrouping
12 Subtraction With and Without Regrouping Subtracting Numbers with Zero Difficulty
13 Addition Concept Multiplication as Repeated Addition
14 Multiplication Properties of Multiplication
15 Multiplication Multiplication by 2, 5 and 10
16 Multiplication Multiplication by 3, 4, and 6
17 Multiplication Multiplying 2- to 3-Digit Numbers by a 1-Digit Number With and Without Regrouping
18 Addition, Subtraction, and Multiplication Concepts of Division
19 Addition, Subtraction, Multiplication, and Division Multiplication and Division Relationship
20 Fractions Reviewing Simple Fractions
21 Concepts of Fraction Identifying Fifths, Sixths, and Eighths
22 Fractions Comparing Fractions
23 Fractions Ordering Fractions
24 Addition, Subtraction, Multiplication, and Division Odd and Even Numbers
25 None Identifying Common 2D Shapes
26 2D Shapes Discovering 3D Figures
27 None Months and Days
28 None Measuring Time
29 Number Counting Measuring Lengths
30 None Measuring in Kilograms
31 2D Shapes Measuring Areas
32 “Mathematical Operations Area” Perimeter
Lesson No. Prerequisites Topic
01 None Reading and Writing Numbers Up to Hundred Thousands
02 Reading and Writing Numbers Up to Hundred Thousands Comparing and Ordering Numbers
03 None Rounding Numbers
04 None Properties of Addition
05 None Adding Whole Numbers With and Without Regrouping
06 None Subtracting Whole Numbers With and Without Regrouping
07 Multiplication of Numbers Properties of Multiplication
08 None Multiplying by One-Digit numbers With and Without Regrouping
09 None Multiplying by 2-Digit Numbers With And Without Regrouping
10 Other Mathematical Operations – Subtraction and Multiplication Dividing 2 to 4-Digit Numbers by 1-Digit Divisors Without Remainder
11 Other Mathematical Operations – Subtraction and Multiplication Dividing 2- to 4-Digit Numbers by 1-Digit Divisors with Remaninder
12 Other Mathematical Operations – Subtraction and Multiplication Dividing 2- to 5-Digit Numbers by 2-Digit Divisors with and without Remainder
13 Other Mathematical Operations – Subtraction and Multiplication Order of Operations
14 Addition, Subtraction, Multiplication, and Division Odd and Even Numbers
15 Multiplication Concepts Multiples of 1- and 2-Digit Numbers
16 None Concept of Fractions
17 Concept of Fractions Equivalent Fractions Comparing and Ordering Fractions
18 Concept of Fractions Fractions in Lowest Terms
19 Place Values Place Value and Value of Decimals Comparing and Ordering Decimals
20 Place Values Adding and Subtracting Decimals
21 None Points and Lines
22 None Angles
23 Shapes Planes and Space Figures
24 None Telling Time and Duration
25 Telling Time and Duration Conversion of Time Measurements
26 None Measuring Lengths
27 Measures of Length Perimeter
28 Mathematical Operations Area
29 Mathematical Operations Measuring Mass
30 None Measurement of Capacity
31 None Collecting and Interpreting Data
32 Organizing Data Reading and Interpreting Data from Bar Graphs
Lesson No. Prerequisites Topic
01 None Reading and Writing Numbers Through Ten Millions
02 Reading and Writing Numbers Through Ten Millions Comparing and Ordering Whole Numbers
03 None Rounding Off Whole Numbers
04 Adding Two-Digit Numbers With and Without Regrouping Adding and Subtracting Large Numbers
05 Multiplication as Repeated Addition Properties of Multiplication
06 None Multiplying by one- to three-digit numbers
07 Division of whole numbers Quotient and Remainder
08 Addition, Subtraction, Multiplication, Division, and Exponentiation Order of Operations
09 Natural Numbers, Whole Numbers, Multiplication, and Division Prime and Composite Numbers
10 Prime and Composite Numbers, Factors, Multiplication, and Division Prime Factorization
11 Prime and Composite Numbers The Greatest Common Factor
12 Factors, Multiples, Multipication, and Division Least Common Multiple
13 Multiplication and Division Fractions
14 Concept of Fractions Equivalent Fractions Comparing and Ordering Fractions
15 Concept of Fractions Adding and Subtracting Similar Fractions and Mixed Numbers
16 Concept of Fractions and LCM “Adding and Subtracting Dissimilar Fractions Adding and Subtracting Mixed Numbers with Dissimilar Fractions”
17 Concept of Fractions and Multiplication Multiplying Fractions and Mixed Numbers
18 Multiplying Fractions Dividing Fractions
19 Concept of Whole Numbers Decimals
20 Concept of Decimals Rounding Off Decimals
21 Concept of Decimals Adding and Subtracting Decimals
22 Concept of Decimals Multiplying Decimals
23 Basic Operations on Decimals Dividing Decimals
24 Geometric Figures Polygons
25 None Basic Geometric Ideas
26 Geometric Concepts Kinds of Lines and Angles
27 Geometric Concepts Perimeter
28 Geometric Concepts Area
29 None Circle
30 Geometric Figures Volume
31 None Capacity and Mass Measurement
32 None Tables and Bar Graphs
Lesson No. Prerequisites Topic
01 None Numbers Up to Billions
02 Place Value Rounding Off Numbers up to Billions
03 None Addition and Subtraction Made Easy
04 Multiplication as Repeated Addition Multiplication of Whole Numbers
05 Addition, Subtraction, and Multiplication Division of Whole Numbers
06 None Order of Operations
07 Multiplication and Division Multiples, Factors and Divisibility Rules
08 Multiples and Factors Prime and Composite Numbers and Prime Factorization
09 Multiplication and Division, Multiples and Factors Greatest Common Factor and Least Common Multiple
10 Multiplication and GCF Concept of Fractions
11 Concept of Fractions, GCF, and LCM Addition and Subtraction of Fractions
12 Concept of Fractions, Multiplication, and Division Multiplication and Division of Fractions
13 Whole numbers and Fractions Working with Decimals
14 Concept of Decimals Addition and Subtraction of Decimals
15 Concept of Decimals Multiplication of Decimals
16 Multiplication of Decimals and Concept of Decimals Division of Decimals
17 Concept of Fractions Ratio
18 Ratio Proportion
19 Concept of Whole Numbers Converting Between Percent, Fractions, and Decimals
20 Converting Percent to Decimal and Vice Versa Percent Problems
21 None Geometric Figures
22 Geometric Figures Interior Angles of Polygons
23 Geometric Figures Congruence and Similarity
24 Geometric Concepts Solid Figures
25 None Perimeter and Circumference of Geometric Figures
26 Geometric Concepts Areas of Plane Figures
27 Area of Geometric Figures Surface Areas of Solid Figures
28 Geometric Figures Volume of Solid Figures
29 None Measuring Time
30 None Temperature
31 None Graphs
32 None Experimental Probability
Lesson No. Prerequisites Topic
01 None Order of Operations
02 Decimals Exponential Notation and Scientific Notation
03 Exponents Factors, Multiples and Prime Factorization
04 Multiplication and Division Divisibility Rules, GCF and LCM
05 Divisibility Rules, GCF, and LCM Addition and Subtraction of Fractions
06 Simplifying Fractions Mixed Fractions to Improper Fractions Multiplication and Division of Fractions
07 4 basic operations Operations on Decimals
08 Fractions and GCF Ratio
09 Ratio and Rate Special Ratios:  Speed and Density
10 Ratio Proportion
11 Fractions and Decimals Changing Percent to Decimal, Fraction, and Vice Versa
12 Convert Whole Numbers to Decimals and Vice Versa Percentage, Rate, and Base
13 Percentage, Base, and Rate Markup and Discount
14 Percentage Commission and Sales Tax
15 Percentage Simple Interest
16 Multiplication of Whole Numbers (Exponentiation) Simple Interest Compounded Interest
17 Real Number System Addition and Subtraction of Integers
18 Concept of Integers Multiplication and Division of Integers
19 None Geometric Figures
20 Geometric Figures Perimeter and Circumference of Geometric Figures
21 Geometric Figures Area of Geometric Figures
22 Area of Geometric Figures Solid Figures and Surface Area
23 Geometric Figures Volume of Solid Figures
24 None Electric and Water Meter Reading
25 None Statistics – Frequency Table
26 Statistical Data and Frequency Statistics – Graphs
27 Frequency of Data Statistics – Mean, Median, Mode, and Range
28 None Probability – Possible Outcomes
29 Possible Outcomes Simple Probability
30 None Patterns and Sequences
31 None Introduction to Algebra
32 Concepts about Algebraic Expressions Simplifying Algebraic Expressions