Math Syllabus Grade 5
Number sense
- Expanded form up to 1,000,000
- Place Value 1,000,000
- Spell word name up to 1000,000
- Compare numbers
- Order numbers
- Roman numerals
- Rounding
- Even and odd
- Skip counting
Addition and subtraction
- Addition and Subtraction Without Regrouping
- Addition and Subtraction With Regrouping
- Finding Missing Digits
- Properties of Addition
- Word Problems
Multiplication
- Multiplication by 10, 100, 1000
- Multiplication by multiples of 10
- Properties of Multiplication
- Area Models
- Lattice Multiplication
- Word Problems
Division
- Properties of Division
- Divisibility Rules
- Completing Division Sentence
- Division by 10, 100 & 1000
- Division Using Models
- Inequalities With Division
- Estimate Quotients
- Relating Multiplication & Division
- Word Problems
Multiples and factors
- Factors & Multiples
- Finding Multiples
- Divisibility
- Prime & Composite Numbers
- Prime Factorization
- Greatest Common Factor (GCF)
- Lowest Common Multiple (LCM)
- Word Problems
Fractions
- Definition and Types
- Identifying Fractions
- Fractions on a Number Line
- Compare & Order Fractions
- Operations With Fractions
- Word Problems
- Advanced-level Questions
Decimals
- Decimal up to thousandths
- Place value in decimal numbers
- Expanded form of decimal
- Equivalent decimals
- Round decimal numbers to the nearest whole number
- Convert fractions into decimals
- Convert decimals into fractions
- Add and subtract decimal numbers
Mixed operations
- BEDMAS or PEMDAS
- Word Problems
Money
- The vocabulary of financial literacy
- Rounding off the money
- Conversions
- Unit rate and Best Buy
- Budgeting
- Tax
- Discount
- Profit and Loss
- Mode of payment
Number sequencing
- Finding the Next Shape in a Recurring Pattern
- Completing Number Sequences
- Arithmetic Sequence & Geometric Sequence
- Making Number Patterns
- Comparing Patterns
- Number Sequence: Word Problems
- Critical Thinking
- Algebra
Percentage
- Introduction to percentages
- Understanding fractions strip model
- Grid Model
- Conversion between fractions, percentages, and decimals
- Comparison of percentages
- Word Problems
Ratio
- Write a Ratio
- Write a ratio using a fraction
- Identify equivalent ratio
- Ratio Tables
- Word problems
Geometry
- Which figure is being described?
- Number of sides in polygons
- Regular and irregular polygons
- Types of angles
- Measure angles with a protractor
- Lines of symmetry
- Rotational symmetry
- Reflection, rotation, and translation
- Identify three-dimensional figures
- Count vertices, edges, and faces
- Nets of three-dimensional figures
- Three-dimensional figures viewed from different perspectives
Geometric measurement
- Perimeter of Rectilinear Figure
- Perimeter: Find the missing side lengths
- Area of squares and rectangles
- Area and Perimeter of figures on grids
- Area and Perimeter: Word problems
- Use Area and Perimeter to determine the cost
- The volume of figures made of unit cubes
- Word problems: Surface area and volume
Time
- Convert time unit
- Add and subtract mixed time units
- Elapsed time
- Find start and end times
- Convert between 12-hour and 24- hour time
- Time zones 12-hour and 24-hour time
- Time patterns
Measurement
- Errors and precision in measurements
- Units for length, mass, and capacity
- Conversions of metric and customary units
- Word problems
Data and graphs
- Collecting Data
- Circle, graphs, line plots, and Pie charts
- Pictographs
- Frequency chart
- Stem and leaf plots
Probability and Statistics
- Understanding Probability
- Find the probability
- Make predictions
- Combinations
- Calculate mean, mode, and median