GRADE 1
1. Basic Arithmetic
- Addition and Subtraction
- Multiplication and Division
- Order of operations
2. Number Patterns & Sequences
- Identifying the next number in a pattern
- Completing letter sequences
- Understanding number properties
3. Logical Reasoning & Problem Solving
- Identifying missing elements in a sequence
- Deduction-based questions (e.g., “One of them is not X, who is the other?”)
- Logical arrangements (who is first, second, last)
- Counting overlapping groups (e.g., students liking both subjects)
4. Geometry & Shapes
- Identifying triangles, rectangles, and other shapes
- Symmetry and mirror images
- Counting triangles or rectangles in a diagram
5. Measurement & Time
- Understanding days, weeks, months, and years
- Reading clocks and time calculations
- Distance measurement using rulers
6. Money & Currency
- Counting coins and their total values
- Distributing money or objects evenly
7. Word Problems
- Real-life application of arithmetic
- Sharing and distributing items among people
- Scheduling and planning events with dates
8. Logical Puzzles & Grid Navigation
- Finding paths in a grid with movement restrictions
- Counting paths using only specific directions
- Understanding coordinates and navigation
9. Counting & Combinations
- Counting total possibilities of arrangements
- Determining unique ways to achieve an outcome (e.g., different paths to a destination)
GRADE 2
1. Basic Arithmetic (Addition, Subtraction, Multiplication, Division)
- Addition of multiple numbers (e.g., 5 + 23 + 15 + 7)
- Subtraction problems (e.g., 10 – 4, 46 – 12)
- Multiplication problems (e.g., 2 × 10 × 0 × 1)
- Division in real-world contexts (e.g., dividing cookies into packages)
2. Number Properties & Patterns
- Identifying even and odd numbers
- Recognizing palindromic numbers (e.g., 787, 11211)
- Number sequences and finding missing numbers (e.g., 2, 3, 5, 8, __)
- Place value understanding (e.g., Two hundred twenty-two = 222)
3. Word Problems & Logical Reasoning
- Deduction-based problems (e.g., “One of them is not John. Who is the other?”)
- Problems involving real-life situations (e.g., distributing candies, calculating money left)
- Multi-step logical reasoning (e.g., “If today is Monday, what day is two days after one day before three days before Sunday?”)
- Determining age differences between people
4. Measurement & Time
- Days, weeks, months (e.g., How many months in 3 years?)
- Understanding and calculating time (e.g., what time is 1 hour 45 minutes after 5:30 AM?)
- Reading a clock and determining duration
- Comparing distances (e.g., total distance between cities)
- Choosing correct units for measurement (cm, m, km)
5. Geometry & Spatial Reasoning
- Identifying shapes (e.g., How many sides do a pentagon and triangle have together?)
- Counting triangles and rectangles in figures
- Understanding symmetry and reflections
- Rotation and orientation of shapes
6. Counting Principles & Combinations
- Counting handshakes in a group
- Finding the number of different paths in a grid
- Counting possibilities for a tournament where everyone plays each other
- Arranging numbers and objects in specific ways
7. Fractions, Ratios & Proportions
- Sharing a chocolate bar using parallel cuts
- Understanding halves, thirds, and fourths in word problems
- Proportional reasoning (e.g., If Jane is twice as old as Jason, how old will she be in one year?)
8. Money & Currency
- Counting total money using different coin values (nickels, dimes, quarters, loonies)
- Distributing money equally among friends
- Determining how much money is left after spending
9. Probability & Statistics
- Reading bar graphs (e.g., Which month had the most rainy days?)
- Understanding survey results (e.g., How many students have brown eyes?)
- Finding the probability of drawing a specific card
10. Word Puzzles & Code breaking
- Morse code translation
- Logical deduction from symbols (e.g., if 😊 = 1, 🟠 = 2, what is 😊 + 🟠?)
- Translating between languages (e.g., fictional language puzzles)
11. Logical Grid & Navigation Problems
- Moving in a 3×3 or 4×4 grid while following specific movement rules
- Finding the shortest path using only allowed directions
- Determining which object reaches the exit first
GRADE 3
1. Basic Arithmetic & Number Operations
- Addition and subtraction of multiple numbers
- Multiplication and division with small numbers
- Order of operations and solving mixed expressions
2. Number Properties & Sequences
- Understanding even and odd numbers
- Identifying prime and composite numbers
- Ordering negative and positive numbers
- Recognizing and completing number sequences
3. Word Problems & Logical Reasoning
- Deduction-based questions (e.g., “One of them is not X, who is the other?”)
- Age-based problems (e.g., “If John is twice as old as Sam, how old will he be?”)
- Word puzzles and riddles (e.g., “A detective finds a strange code”)
4. Measurement & Time
- Understanding time calculations (e.g., “What time is 1 hour 45 minutes after 5:30 AM?”)
- Days, weeks, months, and years calculations
- Travel-based problems (e.g., “Levi needs to reach Max using only north and west directions”)
5. Geometry & Shapes
- Identifying properties of different shapes (triangles, squares, hexagons, etc.)
- Lines of symmetry and transformations
- Counting triangles and rectangles in complex figures
6. Counting Principles & Combinations
- Counting unique pathways in a grid
- Counting handshakes and interactions in a group
- Tournament and competition-based counting problems
7. Fractions & Ratios
- Understanding and comparing fractions
- Proportional reasoning (e.g., “If Sarah ate ¾ of the pie, how much is left?”)
- Fraction-based division of objects
8. Money & Currency
- Counting different coin values
- Determining total amounts after spending or receiving money
- Word problems involving purchases and change calculations
9. Probability & Statistics
- Reading and interpreting bar graphs
- Finding probabilities of specific events (e.g., “What is the chance of picking a red marble?”)
- Calculating averages from data sets
10. Logical Grid & Navigation Puzzles
- Moving through a grid using specific movement rules
- Finding the shortest or most efficient path
- Direction-based problem solving (e.g., “John travels 6 km north, 6 km east, 6 km south, how far is he from the start?”)
11. Word Puzzles & Code breaking
- Recognizing palindromes and numerical patterns
- Solving coded messages (e.g., “Morse code translation”)
- Logical deductions from given statements
12. Logical Thinking & Math Games
- Finding missing numbers in patterns
- Solving unique problems (e.g., “Which number is still prime when flipped upside down?”)
- Applying factorials and mathematical rules to real-world problems
GRADE 4
1. Basic Arithmetic & Number Operations
- Addition, subtraction, multiplication, and division of whole numbers
- Order of operations and solving mixed expressions
- Identifying missing numbers in equations
2. Number Properties & Sequences
- Identifying prime and composite numbers
- Even and odd numbers
- Palindromic numbers
- Completing numerical sequences and patterns
3. Word Problems & Logical Reasoning
- Deduction-based problems (e.g., “One of them is not X, who is the other?”)
- Multi-step age and time-based problems
- Logical puzzles involving real-life scenarios
4. Measurement & Time
- Understanding time calculations (e.g., “What time is 1 hour 45 minutes after 5:30 AM?”)
- Days, weeks, months, and years calculations
- Distance and travel-based word problems
5. Geometry & Shapes
- Identifying properties of different shapes (triangles, squares, hexagons, etc.)
- Understanding lines of symmetry and transformations
- Counting triangles, rectangles, and other shapes in complex figures
- Volume and surface area of simple 3D shapes
6. Counting Principles & Combinations
- Counting unique pathways in a grid
- Counting handshakes and interactions in a group
- Tournament and competition-based counting problems
- Arranging letters in words
7. Fractions, Ratios & Proportions
- Comparing and simplifying fractions
- Proportional reasoning (e.g., “If Sarah ate ¾ of the pie, how much is left?”)
- Fraction-based division of objects
8. Money & Currency
- Counting different coin values and total amounts
- Determining money left after spending
- Word problems involving purchases and change calculations
9. Probability & Statistics
- Reading and interpreting bar graphs
- Finding probabilities of specific events (e.g., “What is the chance of picking a red marble?”)
- Calculating averages from data sets
10. Logical Grid & Navigation Puzzles
- Moving through a grid using specific movement rules
- Finding the shortest or most efficient path
- Direction-based problem solving (e.g., “John travels 6 km north, 6 km east, 6 km south, how far is he from the start?”)
11. Word Puzzles & Code breaking
- Recognizing palindromes and numerical patterns
- Solving coded messages (e.g., “Morse code translation”)
- Logical deductions from given statements
12. Logical Thinking & Math Games
- Finding missing numbers in patterns
- Solving unique problems (e.g., “Which number is still prime when flipped upside down?”)
- Applying factorials and mathematical rules to real-world problems
GRADE 5
1. Arithmetic & Number Operations
- Addition, subtraction, multiplication, and division
- Order of operations (PEMDAS)
- Working with negative numbers
- Finding missing numbers in number sentences
2. Number Properties & Patterns
- Prime and composite numbers
- Even and odd numbers
- Divisibility rules
- Finding units digits in large calculations
- Completing number sequences and patterns
3. Word Problems & Logical Reasoning
- Age and time-based problems
- Multi-step real-world word problems
- Logical deduction puzzles
- Finding unknown values in coded equations
4. Measurement & Time
- Calculating time differences
- Understanding AM and PM
- Travel-based problems (e.g., calculating distances with different speeds)
5. Geometry & Shapes
- Identifying properties of triangles, quadrilaterals, and polygons
- Symmetry and transformations (rotations, reflections)
- Counting triangles and rectangles in complex figures
- Volume and surface area of 3D shapes
6. Counting Principles & Combinations
- Counting unique pathways in a grid
- Arranging letters in words
- Tournament and handshake problems
- Finding possible arrangements of objects
7. Fractions, Ratios & Proportions
- Comparing and simplifying fractions
- Converting between fractions and decimals
- Ratio and proportion-based problems
- Fractional word problems
8. Money & Currency
- Counting different coin values
- Determining money left after spending
- Word problems involving purchases and change calculations
9. Probability & Statistics
- Reading and interpreting bar graphs
- Calculating probabilities of specific events
- Finding averages and means in data sets
10. Logical Grid & Navigation Puzzles
- Moving through a grid using specific movement rules
- Finding the shortest or most efficient path
- Direction-based problem solving
11. Word Puzzles & Code breaking
- Recognizing palindromes and numerical patterns
- Solving coded messages (e.g., Morse code, number-letter substitution)
- Logical deductions from given statements
12. Logical Thinking & Math Games
- Finding missing numbers in patterns
- Factorials and their applications
- Applying mathematical rules to real-world problems
GRADE 6
1. Arithmetic & Number Operations
- Addition, subtraction, multiplication, and division of whole numbers
- Order of operations (PEMDAS)
- Working with negative numbers
- Finding missing numbers in number sentences
- Finding units digits in large calculations
2. Number Properties & Sequences
- Prime and composite numbers
- Even and odd numbers
- Perfect squares and divisibility rules
- Finding patterns in number sequences
- Factorization and LCM/GCD problems
3. Word Problems & Logical Reasoning
- Deduction-based puzzles (e.g., “One of them is not X, who is the other?”)
- Age-based and time-related problems
- Logical statements and conditions
- Word puzzles involving unknown numbers
4. Fractions, Ratios & Proportions
- Comparing and simplifying fractions
- Converting between fractions, decimals, and percentages
- Ratio and proportion-based problems
- Fractional word problems
5. Measurement & Time
- Understanding time calculations (e.g., “What time is 1 hour 45 minutes after 5:30 AM?”)
- Distance and travel-based problems
- Speed, distance, and time relations
6. Geometry & Shapes
- Identifying properties of triangles, quadrilaterals, and polygons
- Symmetry and transformations (rotations, reflections)
- Counting triangles and rectangles in complex figures
- Volume and surface area of 3D shapes
- Perimeter and area calculations
7. Counting Principles & Combinations
- Counting unique pathways in a grid
- Arranging letters in words
- Tournament and handshake problems
- Finding possible arrangements of objects
8. Money & Currency
- Profit, loss, and discount calculations
- Tax and percentage-based word problems
- Currency-based word problems
9. Probability & Statistics
- Reading and interpreting bar graphs
- Finding probabilities of specific events
- Calculating averages and medians in data sets
10. Logical Grid & Navigation Puzzles
- Moving through a grid using specific movement rules
- Finding the shortest or most efficient path
- Direction-based problem solving
11. Word Puzzles & Code breaking
- Recognizing palindromes and numerical patterns
- Solving coded messages (e.g., Morse code, number-letter substitution)
- Logical deductions from given statements
12. Logical Thinking & Math Games
- Finding missing numbers in patterns
- Factorials and their applications
- Applying mathematical rules to real-world problems
