Class iiI
mandatory maths
A. Numbers and comparing
- Even or odd
- Even or odd: addition patterns
- Even or odd: multiplication patterns
- Skip-counting
- Skip-counting puzzles
- Number sequences
- Write numbers in words
- Roman numerals I, V, X, L, C, D, M
- Compare numbers
- Which number is greatest/least?
- Order numbers
- Comparing: with addition and subtraction
- Multi-step inequalities
B. Place values
- Place value models up to thousands
- Place value names up to thousands
- Place value names up to hundred thousands
- Value of a digit
- Convert to/from a number
- Convert between place values
- Convert from expanded form
- Convert between standard and expanded form
- Place value word problems
C. Addition
- Add two numbers up to three digits
- Addition input/output tables: up to three digits
- Add two numbers up to three digits: word problems
- Complete the addition sentence: up to three digits
- Balance addition equations: up to three digits
- Use compensation to add: up to three digits
- Add three numbers up to three digits each
- Add three numbers up to three digits each: word problems
- Addition up to three digits: fill in the missing digits
- Add two numbers up to four digits
- Add two numbers up to four digits: word problems
- Complete the addition sentence: up to four digits
- Add three numbers up to four digits each
- Add three numbers up to four digits each: word problems
- Addition up to four digits: fill in the missing digits
- Addition patterns over increasing place values
- Add two numbers up to six digits
D. Subtraction
- Subtract numbers up to three digits
- Subtraction input/output tables: up to three digits
- Subtract numbers up to three digits: word problems
- Subtract across zeros
- Complete the subtraction sentence: up to three digits
- Balance subtraction equations: up to three digits
- Use compensation to subtract: up to three digits
- Subtraction patterns over increasing place values
- Subtract numbers with four or more digits
- Subtraction: fill in the missing digits
E. Understand multiplication
- Count equal groups
- Identify multiplication expressions for equal groups
- Write multiplication sentences for equal groups
- Relate addition and multiplication for equal groups
- Identify multiplication expressions for arrays
- Write multiplication sentences for arrays
- Write two multiplication sentences for an array
- Make arrays to model multiplication
• New! Multiply using number lines - Write multiplication sentences for number lines
F. Multiplication skill builders
- Multiply by 0
- Multiply by 1
- Multiply by 2
- Multiply by 3
- Multiply by 4
- Multiply by 5
- Multiply by 6
- Multiply by 7
- Multiply by 8
- Multiply by 9
- Multiply by 10
- Multiply by 11
- Multiply by 12
G. Multiplication fluency
- Multiplication facts for 2, 3, 4, 5, and 10
- Multiplication facts for 2, 3, 4, 5, and 10: true or false?
- Multiplication facts for 2, 3, 4, 5, and 10: sorting
- Multiplication facts for 2, 3, 4, 5, and 10: find the missing factor
- Multiplication facts for 6, 7, 8, and 9
- Multiplication facts for 6, 7, 8, and 9: true or false?
- Multiplication facts for 6, 7, 8, and 9: sorting
- Multiplication facts for 6, 7, 8, and 9: find the missing factor
- Multiplication facts up to 10
- Multiplication facts up to 10: true or false?
- Multiplication facts up to 10: sorting
- Multiplication facts up to 10: find the missing factor
- Multiplication facts up to 10: select the missing factors
- Multiplication sentences up to 10: true or false?
- Multiplication facts to 12
- Multiplication facts up to 12: true or false?
- Multiplication facts up to 12: find the missing factor
- Multiplication facts up to 12: select the missing factors
- Multiplication sentences up to 12: true or false?
- Multiply by 0 or 1: complete the sentence
- Squares up to 10 x 10
H. Multiplication
- Multiply by a multiple of ten using place value
- Multiply by a multiple of ten
- Multiplication patterns over increasing place values
- Multiply numbers ending in zeroes
- Multiplication input/output tables
- Multiplication input/output tables: find the rule
- Multiplication word problems
- Multiplication word problems: find the missing factor
- Compare numbers using multiplication
- Compare numbers using multiplication: word problems
- Multiply one-digit numbers by teen numbers using grids
- Multiply one-digit numbers by two-digit numbers using area models I
- Multiply one-digit numbers by two-digit numbers using area models II
- Multiply one-digit numbers by two-digit numbers
- Multiply one-digit numbers by two-digit numbers: word problems
- Multiply one-digit numbers by three-digit numbers using area models I
- Multiply one-digit numbers by three-digit numbers using area models II
- Multiply one-digit numbers by three-digit numbers
- Multiply one-digit numbers by three-digit numbers: word problems
- Multiply three or more numbers
- Multiply three or more numbers: word problems
- Lattice multiplication
I. Understand division
- Divide by counting equal groups
- Write division sentences for groups
• New! Division sentences with 1 and 0 - Relate multiplication and division for groups
- Write division sentences for arrays
- Relate multiplication and division for arrays
J. Division skill builders
- Divide by 1
- Divide by 2
- Divide by 3
- Divide by 4
- Divide by 5
- Divide by 6
- Divide by 7
- Divide by 8
- Divide by 9
- Divide by 10
- Divide by 11
- Divide by 12
K. Division fluency
- Division facts for 2, 3, 4, 5, and 10
- Division facts for 2, 3, 4, 5, and 10: true or false?
- Division facts for 2, 3, 4, 5, and 10: sorting
- Division facts for 6, 7, 8, and 9
- Division facts for 6, 7, 8, and 9: true or false?
- Division facts for 6, 7, 8, and 9: sorting
- Division facts up to 10
- Division facts up to 10: true or false?
- Division facts up to 10: sorting
- Division facts up to 10: find the missing number
- Division facts up to 10: select the missing numbers
- Division sentences up to 10: true or false?
- Division facts up to 12
- Division facts up to 12: true or false?
- Division facts up to 12: find the missing number
- Division facts up to 12: select the missing numbers
- Division sentences up to 12: true or false?
L. Division
- Division patterns over increasing place values
- Divide numbers ending in zeroes
- Division input/output tables
- Division input/output tables: find the rule
- Division word problems
- Divide three-digit numbers
- Divide three-digit numbers: word problems
- Divide larger numbers
- Divide larger numbers: word problems
- Divisibility rules for 2, 5, and 10
- Divisibility rules for 3, 6, and 9
- Divisibility rules for 4 and 8
M. Mixed operations
- Addition, subtraction, multiplication, and division facts
- Complete the addition, subtraction, multiplication, or division sentence
- Multiplication and division facts up to 5: true or false?
- Multiplication and division facts up to 10
- Multiplication and division facts up to 10: true or false?
- Multiplication and division facts up to 12: true or false?
- Multiplication and division sentences up to 12: true or false?
- Add, subtract, multiply, and divide
- Add and subtract data from tables
- Addition and subtraction word problems
- Multiplication and division word problems
- Comparison word problems: addition or multiplication?
- Addition, subtraction, multiplication, and division word problems
- Perform multiple operations with whole numbers
- Two-step addition and subtraction word problems
- Two-step multiplication and division word problems
- Two-step mixed operation word problems
N. Properties
- Addition, subtraction, multiplication, and division terms
- Understanding parentheses
- Properties of addition
- Complete the equation using properties of addition
- Add using properties
- Properties of multiplication
- Distributive property: find the missing factor
- Multiply using the distributive property
- Solve using properties of multiplication
- Relate addition and multiplication
- Relate multiplication and division
O. Equations and variables
- Identify equations
- Solve for the variable: addition and subtraction only
- Solve for the variable: multiplication and division only
- Solve for the variable
- Write variable equations to represent word problems: multiplication and division only
- Write variable equations to represent word problems
P. Estimation and rounding
- Round to the nearest ten or hundred using a number line
- Round to the nearest ten or hundred
- Round to the nearest ten or hundred in a table
- Round to the greatest place value
- Round money amounts to the nearest dollar
- Rounding puzzles
- Estimate sums by rounding: up to 1,000
- Estimate sums by rounding: up to 1,000,000
- Estimate sums by rounding: word problems
- Estimate sums using compatible numbers
- Estimate differences by rounding: up to 1,000
- Estimate differences by rounding: up to 1,000,000
- Estimate differences by rounding: word problems
- Estimate differences using compatible numbers
- Estimate to compare sums and differences
- Estimate sums and differences: word problems
- Estimate products
- Estimate quotients
- Two-step word problems: identify reasonable answers
Q. Logical reasoning
- Guess the number
- Make the largest or smallest number possible
- Find the order
- Age puzzles
- Find two numbers based on sum and difference
- Find two numbers based on sum, difference, product, and quotient
R. Patterns
- Repeating patterns
- Growing patterns
- Find the next shape in a pattern
- Complete a repeating pattern
- Make a repeating pattern
- Find the next row in a growing pattern
S. Money
- Count coins and bills – up to $5 bill
- Count coins and bills word problems – up to $5 bill
- Purchases – do you have enough money – up to $10
- Which picture shows more?
- Correct amount of change
- Making change
- Inequalities with money
- Put money amounts in order
- Add and subtract money amounts
- Add money amounts – word problems
- Price lists
T. Time
- Match clocks and times
- Match analog and digital clocks
- Read clocks and write times
- A.M. or P.M.
- Write times
- Elapsed time: find the end time
- Find the elapsed time
- Elapsed time word problems: find the end time
- Elapsed time word problems: find the elapsed time
- Time patterns
- Convert between hours and fractions of hours
- Relate time units
- Read a calendar
- Reading schedules
- Timelines
U. Data, graphs, and probability
- Objects on a coordinate plane
- Coordinate planes as maps
- Graph points on a coordinate plane
- Interpret tally charts
- Read a table
- Interpret bar graphs
- Use bar graphs to solve problems
- Create bar graphs
- Interpret line plots
- Create line plots
- Create line plots with fractions
- Interpret pictographs
- Create pictographs
- Interpret line graphs
- Create line graphs
- Count shapes in a Venn diagram
- Sort shapes into a Venn diagram
- Certain, probable, unlikely, and impossible
V. Understand fractions
- Identify equal parts
- Make halves, thirds, and fourths
- Make sixths and eighths
- Make halves, thirds, fourths, sixths, and eighths
- Understand fractions: fraction bars
- Understand fractions: area models
- Show fractions: fraction bars
- Show fractions: area models
- Match fractions to models: halves, thirds, and fourths
- Match unit fractions to models
- Match fractions to models
- Write fractions using numbers and words
- Fractions of number lines: unit fractions
- Fractions of number lines: halves, fourths, and eighths
- Fractions of number lines
- Identify unit fractions on number lines
- Identify fractions on number lines
- Graph unit fractions on number lines
- Graph fractions less than 1 on number lines
- Graph fractions on number lines
- Graph smaller or larger fractions on a number line
- Fractions of a group: unit fractions
- Fractions of a group
- Unit fractions: modeling word problems
- Unit fractions: word problems
- Fractions of a whole: modeling word problems
- Fractions of a whole: word problems
- Fractions of a group: word problems
- Match mixed numbers to models
- Word names for mixed numbers
W. Equivalent fractions
- New! Find equivalent fractions using fraction strips
- Find equivalent fractions using area models: two models
- Find equivalent fractions using area models: one model
- Identify equivalent fractions on number lines
- Find equivalent fractions using number lines
- Graph equivalent fractions on number lines
- Identify equivalent fractions
- Find equivalent fractions
- Graph fractions equivalent to 1 on number lines
- Select fractions equivalent to whole numbers using models
- Select fractions equivalent to whole numbers
- Find fractions equivalent to whole numbers
- Find equivalent fractions with denominators of 10 and 100
- Write fractions in lowest terms
X. Compare fractions
- Compare fractions with like denominators using models
- Compare fractions with like numerators using models
- Compare fractions using models
- Compare fractions using number lines
- Graph and compare fractions with like denominators on number lines
- Graph and compare fractions with like numerators on number lines
- Graph and compare fractions on number lines
- Compare fractions with like denominators
- Compare fractions with like numerators
- Compare fractions
- Compare fractions in recipes
- Benchmark fractions
- Compare fractions using benchmarks
- Graph and order fractions on number lines
- Order fractions with like denominators
- Order fractions with like numerators
- Order fractions
Y. Operations with fractions
- Fractions of a number – unit fractions
- Fractions of a number
- Fractions of a number – unit fractions: word problems
- Fractions of a number: word problems
- Decompose fractions into unit fractions
- Add fractions with like denominators using number lines
- Subtract fractions with like denominators using number lines
- Add and subtract fractions with like denominators
- Add and subtract fractions with like denominators: word problems
Z. Units of measurement
- Read a thermometer
- Reasonable temperature
- Measure using an inch ruler
- Measurement word problems
- Which customary unit of length is appropriate?
- Which customary unit of weight is appropriate?
- Which customary unit of volume is appropriate?
- 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
- Conversion tables – customary units
- Compare customary units by multiplying
- Which metric unit of length is appropriate?
- Which metric unit of weight is appropriate?
- Which metric unit of volume is appropriate?
- 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
- Conversion tables – metric units
- Choose the appropriate measuring too
AA. Two-dimensional shapes
- dentify two-dimensional shapes
- Count and compare sides and vertices
- Open and closed shapes
- Is it a polygon?
- Lines, line segments, and rays
- Angles greater than, less than, or equal to a right angle
- Parallel, perpendicular, and intersecting lines
- Reflection, rotation, and translation
- Identify congruent shapes
- Symmetry
BB. Triangles and quadrilaterals
- Fractions of a number – unit fractions
- Fractions of a number
- Fractions of a number – unit fractions: word problems
- Fractions of a number: word problems
- Decompose fractions into unit fractions
- Add fractions with like denominators using number lines
- Subtract fractions with like denominators using number lines
- Add and subtract fractions with like denominators
- Add and subtract fractions with like denominators: word problems
CC. Three-dimensional shapes
- Read a thermometer
- Reasonable temperature
- Measure using an inch ruler
- Measurement word problems
- Which customary unit of length is appropriate?
- Which customary unit of weight is appropriate?
- Which customary unit of volume is appropriate?
- 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
- Conversion tables – customary units
- Compare customary units by multiplying
- Which metric unit of length is appropriate?
- Which metric unit of weight is appropriate?
- Which metric unit of volume is appropriate?
- 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
- Conversion tables – metric units
- Choose the appropriate measuring too
DD. Geometric measurement
- Perimeter of rectangles
- Perimeter of quadrilaterals
- Perimeter of rectilinear shapes
- Perimeter of polygons
- Perimeter: find the missing side length
- Perimeter: word problems
- Find the area of figures made of unit squares
- Select figures with a given area
- Select two figures with the same area
- Tile a rectangle and find the area
- Multiply to find the area of a rectangle made of unit squares
- Create figures with a given area
- Create rectangles with a given area
- Find the area of rectangles and squares
- Find the missing side length of a rectangle
- Find the area of rectangles with missing unit squares
- Find the area of rectangles: word problems
- Find the areas of complex figures by dividing them into rectangles
- Find the area of complex figures
- Find the area between two rectangles
- Compare area and perimeter of two figures
- Use area and perimeter to determine cost
- Relationship between area and perimeter: find the perimeter
- Relationship between area and perimeter: find the area
