Class IV
mandatory maths
A. Number sense
- Place value models
- Convert between standard and expanded form
- Value of a digit
- Relationship between place values
- Convert between place values
- Identify place value names
- Place value review
- Writing numbers up to 1,000 in words: convert words to digits
- Writing numbers up to 1,000 in words: convert digits to words
- Writing numbers up to 100,000 in words: convert words to digits
- Writing numbers up to 100,000 in words: convert digits to words
- Writing numbers up to one million in words: convert words to digits
- Writing numbers up to one million in words: convert digits to words
- Writing numbers up to one billion in words: convert words to digits
- Writing numbers up to one billion in words: convert digits to words
- Spell word names for numbers up to one million
- Roman numerals
- Prime and composite: up to 20
- Prime and composite: up to 100
- Rounding: up to hundred thousands place
- Rounding: up to millions place
- Rounding input/output tables
- Rounding puzzles
- Even or odd: arithmetic rules
- Compare numbers up to one hundred thousand
- Compare numbers up to one million
- Compare numbers up to one billion
- Order numbers up to one million
B. Addition
- Add two numbers up to five digits
- Add two numbers up to five digits: word problems
- Add two numbers up to seven digits
- Add two numbers up to seven digits: word problems
- Addition: fill in the missing digits
- Properties of addition
- Add 3 or more numbers up to millions
- Addition patterns over increasing place values
- Choose numbers with a particular sum
- Estimate sums
- Estimate sums: word problems
C. Subtraction
- Subtract numbers up to five digits
- Subtract numbers up to five digits: word problems
- Subtract numbers up to seven digits
- Subtract numbers up to seven digits: word problems
- Subtraction: fill in the missing digits
- Subtraction patterns over increasing place values
- Choose numbers with a particular difference
- Estimate differences
- Estimate differences: word problems
D. Multiplication
- Multiplication facts to 10
- Multiplication facts to 10: find the missing factor
- Choose the multiples of a given number up to 10
- Multiplication facts to 12
- Multiplication facts to 12: find the missing factor
- Choose the multiples of a given number up to 12
- Identify factors
- Choose numbers with a particular product
- Find all the factor pairs of a number
- Compare numbers using multiplication
- Compare numbers using multiplication: word problems
- Multiply 1-digit numbers by teen numbers using grids
- Multiply 1-digit numbers by 2-digit numbers using area models I
- Multiply 1-digit numbers by 2-digit numbers using area models II
- Multiply 1-digit numbers by 2-digit numbers
- Multiply 1-digit numbers by 2-digit numbers: word problems
- Multiply 1-digit numbers by 2-digit numbers: multi-step word problems
- Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models I
- Multiply 1-digit numbers by 3-digit or 4-digit numbers using area models II
- Multiply 1-digit numbers by 3-digit or 4-digit numbers using expanded form
- Multiply 1-digit numbers by multi-digit numbers using partial products
- Multiply 1-digit numbers by 3-digit or 4-digit numbers
- Multiply 1-digit numbers by 3-digit or 4-digit numbers: word problems
- Multiply 1-digit numbers by 3-digit or 4-digit numbers: multi-step word problems
- Multiply 1-digit numbers by larger numbers
- Multiply by 10 or 100
- Multiplication patterns over increasing place values
- Properties of multiplication
- Distributive property: find the missing factor
- Multiply using the distributive property
- Use one multiplication fact to complete another
- Estimate products: multiply by 1-digit numbers
- Estimate products: multiply by 2-digit numbers
- Estimate products: word problems
- Estimate products word problems: identify reasonable answers
- Multiply 2-digit numbers by 2-digit numbers using area models I
- Multiply 2-digit numbers by 2-digit numbers using area models II
- Multiply 2-digit numbers by 2-digit numbers using partial products
- Box multiplication
- Lattice multiplication
- Multiply a 2-digit number by a 2-digit number: complete the missing steps
- Multiply a 2-digit number by a 2-digit number
- Multiply a 2-digit number by a 2-digit number: word problems
- Multiply a 2-digit number by a 2-digit number: multi-step word problems
- Multiply a 2-digit number by a larger number: complete the missing steps
- Multiply a 2-digit number by a larger number
- Multiply a 2-digit number by a larger number: word problems
- Multiply numbers ending in zeroes
- Multiply numbers ending in zeroes: word problems
- Multiply three numbers up to two digits each
- Multiply three or more numbers: word problems
- Inequalities with multiplication
- Multiplication input/output tables
- Multiplication input/output tables: find the rule
E. Division
- Division facts to 10
- Division facts to 10: word problems
- Division facts to 12
- Division word problems: factors up to 12
- Properties of division
- Divide 2-digit numbers by 1-digit numbers using arrays
- Divide 2-digit numbers by 1-digit numbers using area models
- Divide using repeated subtraction
- Divide using the distributive property
- Divide 2-digit numbers by 1-digit numbers: quotients up to 10
- Divide 2-digit numbers by 1-digit numbers
- Divide 2-digit numbers by 1-digit numbers: word problems
- Divide 2-digit numbers by 1-digit numbers: complete the table
- Divide 2-digit numbers by 1-digit numbers: interpret remainders
- Divide 3-digit numbers by 1-digit numbers using area models
- Divide using partial quotients
- Divide larger numbers by 1-digit numbers
- Divide larger numbers by 1-digit numbers: word problems
- Divide larger numbers by 1-digit numbers: complete the table
- Divide larger numbers by 1-digit numbers: interpret remainders
- Choose numbers with a particular quotient
- Division patterns over increasing place values
- Divide numbers ending in zeroes by 1-digit numbers
- Estimate quotients using compatible numbers: 1-digit divisors
- Divide by 1-digit numbers: pick the better estimate
- Divisibility rules
- Divisibility rules: word problems
- Divide numbers ending in zeroes by multi-digit numbers
- Divide numbers ending in zeroes by multi-digit numbers: word problems
- Inequalities with division
- Estimate quotients
F. Mixed operations
- Add, subtract, multiply, and divide
- Comparison word problems with addition and subtraction
- Comparison word problems: addition or multiplication?
- Input/output tables with addition, subtraction, multiplication, and division
- Addition, subtraction, multiplication, and division word problems
- Estimate sums, differences, products, and quotients: word problems
- Word problems with extra or missing information
- Solve word problems using guess-and-check
- Multi-step word problems involving subtraction
- Multi-step word problems with strip diagrams
- Use strip diagrams to represent and solve multi-step word problems
- Multi-step word problems
- Multi-step word problems involving remainders
- Multi-step word problems: identify reasonable answers
- Choose numbers with a particular sum, difference, product, or quotient
- Mentally add and subtract numbers ending in zeroes
- Write numerical expressions: one operation
- Perform multiple operations with whole numbers
- Inequalities involving addition, subtraction, multiplication, and division
G. Variable expressions
- Write variable expressions
- Write variable expressions: word problems
- Evaluate variable expressions
- Write variable equations to represent word problems
- Solve variable equations
H. Coordinate plane
- Objects on a coordinate plane
- Graph points on a coordinate plane
- Follow directions on a coordinate plane
- Coordinate planes as maps
I. Data and graphs
- Read a table
- Interpret line graphs
- Create line graphs
- Interpret bar graphs
- Create bar graphs
- Interpret line plots
- Create line plots
- Create and interpret line plots with fractions
- Interpret frequency charts
- Create frequency charts
- Interpret stem-and-leaf plots
- Create stem-and-leaf plots
J. Logical reasoning
- Place value word problems
- Find two numbers based on sum and difference
- Find two numbers based on sum, difference, product, and quotient
- Find the order
K. Patterns and sequences
- Find the next shape in a pattern
- Complete a repeating pattern
- Make a repeating pattern
- Find the next row in a growing pattern of shapes
- Use a rule to complete a number pattern
- What is true about the given pattern?
- What is true about the pattern made by the rule?
- Identify mistakes in number patterns
- Complete an increasing number pattern
- Complete a geometric number pattern
- Number patterns: word problems
- Number patterns: mixed review
- Shape patterns
L. Money
- Count coins and bills – up to $20 bill
- Count coins and bills word problems – up to $20 bill
- Compare money amounts
- Round money amounts
- Add and subtract money amounts
- Add, subtract, multiply, and divide money amounts
- Find the change, price, or amount paid
- Price lists with addition and subtraction
- Multi-step word problems with money: addition and subtraction only
- Multi-step word problems with money
M. Units of measurement
- Measure using an inch ruler
- Measurement word problems
- Measurement word problems with fractions
- Which customary unit is appropriate?
- Compare and convert customary units of length
- Compare and convert customary units of weight
- Compare and convert customary units of volume
- Compare and convert customary units
- Conversion tables – customary units
- Compare customary units by multiplying
- Convert mixed customary units
- Add and subtract mixed customary units
- Which metric unit is appropriate?
- Compare and convert metric units of length
- Compare and convert metric units of weight
- Compare and convert metric units of volume
- Compare and convert metric units
- Conversion tables – metric units
- Convert mixed metric units
- Add and subtract mixed metric units
- Convert between metric and customary units
N. Time
- Convert time units
- Convert mixed time units
- Add and subtract mixed time units
- Fractions of time units
- Time zones
- Elapsed time
- Elapsed time: word problems
- Find start and end times: multi-step word problems
- Transportation schedules
- Time patterns
O. Fraction equivalence and ordering
- Fractions review
- Fractions of a whole: word problems
- Fractions of a group: word problems
- Identify mixed numbers
- Find equivalent fractions using area models
- Identify equivalent fractions using number lines
- Graph equivalent fractions on number lines
- Identify equivalent fractions
- Equivalent fractions: find the missing numerator or denominator
- Fractions with denominators of 10 and 100
- Fractions and mixed numbers with denominators of 10 and 100
- Patterns of equivalent fractions
- Write fractions in lowest terms
- Compare fractions with like numerators or denominators using models
- Graph and compare fractions with like numerators or denominators on number lines
- Compare fractions with like numerators or denominators
- Compare fractions using models
- Benchmark fractions
- Compare fractions using benchmarks
- Compare fractions using benchmarks: find the missing numerator
- Compare fractions
- Compare fractions: find the missing numerator or denominator
- Compare fractions in recipes
- Graph and order fractions on number lines
- Order fractions with like numerators or denominators
- Order fractions
- Find smaller or larger fractions
• New! Convert mixed numbers to improper fractions
• New! Convert improper fractions to mixed numbers - Convert between improper fractions and mixed numbers
P. Add and subtract fractions with like denominators
- Measure using an inch ruler
- Measurement word problems
- Measurement word problems with fractions
- Which customary unit is appropriate?
- Compare and convert customary units of length
- Compare and convert customary units of weight
- Compare and convert customary units of volume
- Compare and convert customary units
- Conversion tables – customary units
- Compare customary units by multiplying
- Convert mixed customary units
- Add and subtract mixed customary units
- Which metric unit is appropriate?
- Compare and convert metric units of length
- Compare and convert metric units of weight
- Compare and convert metric units of volume
- Compare and convert metric units
- Conversion tables – metric units
- Convert mixed metric units
- Add and subtract mixed metric units
- Convert between metric and customary units
Q. Add and subtract fractions with unlike denominators
- Add fractions: denominators 10 and 100
- Identify fraction expressions with a particular sum: denominators of 10 and 100
- Add fractions with unlike denominators using models
- Add fractions with unlike denominators
- Subtract fractions with unlike denominators using models
- Subtract fractions with unlike denominators
- Add and subtract fractions with unlike denominators: word problems
- Add 3 or more fractions with unlike denominators
- Add 3 or more fractions with like and unlike denominators: word problems
R. Multiply fractions
- Multiply unit fractions by whole numbers using number lines
- Multiply unit fractions by whole numbers using models
- Multiples of unit fractions: find the missing numbers
- Multiply unit fractions by whole numbers: sorting
- Multiply unit fractions by whole numbers
- Multiply unit fractions by whole numbers: word problems
- Multiply fractions by whole numbers using number lines
- Multiply fractions by whole numbers using models
- Multiply fractions by whole numbers using models: complete the equation
- Multiples of fractions: find the missing numbers
- Multiply fractions by whole numbers: sorting
- Multiply fractions by whole numbers
- Multiply fractions by whole numbers: word problems
- Multiply mixed numbers by whole numbers
- Multiply fractions and mixed numbers by whole numbers in recipes
- Fractions of a number
- Fractions of a number: word problems
S. Decimals
- What decimal number is illustrated?
- Model decimals and fractions
- Place value models for decimal numbers
- Understanding decimals expressed in words
- Place values in decimal numbers
- One-tenth or one-hundredth more or less
- Equivalent decimals
- Graph decimals on number lines
- Decimal number lines
- Graph fractions as decimals on number lines
- Convert fractions and mixed numbers to decimals – denominators of 10 and 100
- Convert fractions and mixed numbers to decimals
- Convert decimals to fractions and mixed numbers
- Convert decimals between standard and expanded form using fractions
- Round decimals
- Compare decimals using models
- Compare decimals on number lines
- Compare decimal numbers
- Put decimal numbers in order I
- Put decimal numbers in order II
- Compare decimals and fractions on number lines
- Compare decimals and fractions
- Number sequences involving decimals
T. Add and subtract decimals
- Add decimals using blocks
- Add decimal numbers
• New! Subtract decimals using blocks - Subtract decimal numbers
- Add and subtract decimals
- Add and subtract decimals: word problems
- Choose decimals with a particular sum or difference
- Add 3 or more decimals
- Add 3 or more decimals: word problems
- Complete the addition or subtraction sentence
- Inequalities with addition and subtraction
- Estimate sums and differences of decimals
- Solve decimal problems using diagrams
U. Statistics
- Find the mode
- Find the mean
- Find the median
- Find the range
- Interpret line plots to find the mode
- Interpret line plots to find the mean
- Interpret line plots to find the median
- Interpret line plots to find the range
V. Two-dimensional figures
- Is it a polygon?
- Number of sides in polygons
- Points, lines, line segments, rays, and angles
- Parallel, perpendicular, and intersecting lines
- Identify parallel, perpendicular, and intersecting lines
- Identify congruent figures
W. Triangles and quadrilaterals
- Acute, obtuse, and right triangles
- Scalene, isosceles, and equilateral triangles
- Classify triangles
- Parallel sides in quadrilaterals
- Sides and angles of quadrilaterals
- Identify parallelograms
- Identify trapezoids
- Identify rectangles
- Identify rhombuses
- Classify quadrilaterals
- Pick all the names for a quadrilateral
- Draw quadrilaterals
X. Symmetry
- Identify lines of symmetry
- Draw lines of symmetry
- Count lines of symmetry
- Rotational symmetry
Y. Angles
- Acute, right, obtuse, and straight angles
- Angles as fractions of a circle
- Use fractions to find the measure of an angle
- Angles of 90, 180, 270, and 360 degrees
- Measure angles on a circle
- Measure angles with a protractor
- Draw angles with a protractor
- Estimate angle measurements
- Adjacent angles
- Angle measures: word problems
Z. Three-dimensional figures
- Identify three-dimensional figures
- Count vertices, edges, and faces
- Identify faces of three-dimensional figures
- Properties of three-dimensional figures
- Nets of three-dimensional figures
AA. Geometric measurement
- Find the perimeter of rectangles using formulas
- Perimeter of polygons
- Perimeter: find the missing side length
- Perimeter: word problems
- Create figures with a given area
- Create rectangles with a given area
- Find the area or missing side length of a rectangle
- Area: word problems
- Area of complex figures
- Area between two rectangles
- Compare area and perimeter of two figures
- Relationship between area and perimeter
- Area and perimeter: word problems
- Rectangles: relationship between perimeter and area word problems
- Volume
- Use area and perimeter to determine cost
BB. Financial literacy
- Identify fixed and variable expenses
- Calculate profit: word problems
- Compare savings options
- Budget a weekly allowance: word problems
- Financial institution vocabulary
