INFIQ CURRICULUM
Grade 1
Grade 2
Grade 3
Grade 4
Grade 5
Grade 1
Grade 1 : Topics & Lessons
11 Topics | 81 Lessons | Infinite Questions
Counting and Number Patterns
12 Lessons
- Counting up to 20
- Skip Counting by Twos – using models
- Skip Counting by Fives – using models
- Skip Counting by Tens – using models
- Counting up to 120 – using models
- Counting up to 120 – using number grid
- Counting Forward
- Counting Backward
- Complete the Sequence
- Skip Counting by Twos
- Skip Counting by Fives
- Skip Counting by Tens
Add Single Digit Numbers
13 Lessons
- Adding with pictures – up to 10
- Addition sentences – up to 10
- Adding with number line – up to 10
- Add 1
- Add 2
- Add 3
- Add 4
- Add 5
- Add 6
- Add 7
- Add 8
- Add 9
- Add 0
Advanced Addition
14 Lessons
- Make a Number Using Addition
- Add Doubles
- Make a Ten to Add
- Commutative Property of Addition
- 2 Digit + 1 Digit with models – No Regrouping
- Add 1 or 10 – No Regrouping
- Add 1s or 10s – No Regrouping
- 2 Digit + 1 Digit – No Regrouping
- Regroup Tens and Ones
- 2 Digit + 1 Digit with models – With Regrouping
- 2 Digit + 1 Digit – With Regrouping
- Addition Equations
- Add Three Numbers
- Word Problems
Subtract Single Digit Numbers
8 Lessons
- Subtracting With Pictures – up to 10
- Subtraction Sentences – up to 10
- Subtracting with Number Line – up to 10
- Subtract By Comparison
- Subtract The Number Itself
- Subtract 0
- Subtract 1
- Subtract 2
Subtract up to 20
11 Lessons
- 2 Digit – 1 Digit with models – up to 20
- 2 Digit – 1 Digit – up to 20
- Subtract 3
- Subtract 4
- Subtract 5
- Subtract 6
- Subtract 7
- Subtract 8
- Subtract 9
- Make a Number Using Subtraction
- Word Problems
Addition & Subtraction
4 Lessons
- Fact Families
- Find the Missing Number
- Relate Addition & Subtraction
- Addition & Subtraction Equations
Place Value
6 Lessons
- Place Value Models
- Groups of ten
- Tens and Ones
- Convert Between Forms
- Compare Two Numbers
- Order the Numbers
Measurement
3 Lessons
- Order By Length
- Measure By Comparison
- Measure the Length
Time
4 Lessons
- Analog Clock
- Tell time to An Hour
- Tell time to Half Hour
- Relate Time to a.m. or p.m.
Data Interpretation
3 Lessons
- Sort & Organize Data
- Interpret Data – Picture Graph
- Interpret Data – Bar Graph
Geometry
3 Lessons
- Identify Shapes
- Identify Halves
- Identify Fourths
Grade 2
Grade 2 : Topics & Lessons
13 Topics | 113 Lessons | Infinite Questions
Add within 20
19 Lessons
- Addition Sentences
- Adding With Pictures
- Adding With Number Line
- Add 0 or 1
- Add 2
- Add 3
- Add 4
- Add 5
- Add 6
- Add 7
- Add 8
- Add 9
- Add 10
- Add Two Numbers
- Add Three Numbers
- Make a Ten to Add
- Add Doubles
- Addition Equations
- Word Problems
Subtract within 20
16 Lessons
- Relate Addition and Subtraction
- Subtract With Pictures
- Subtract With Number Line
- Subtract 0 or the Number Itself
- Subtracting 1
- Subtracting 2
- Subtracting 3
- Subtracting 4
- Subtracting 5
- Subtracting 6
- Subtracting 7
- Subtracting 8
- Subtracting 9
- Subtracting 10
- Subtract Two Numbers
- Word Problems
Add within 100
7 Lessons
- Add Multiples of 10
- 2 Digit + 1 Digit – No Regrouping
- Make A Ten
- 2 Digit + 1 Digit – With Regrouping
- 2 Digit + 2 Digit – No Regrouping
- 2 Digit + 2 Digit – With Regrouping
- Word Problems
Subtract within 100
7 Lessons
- Subtract Multiples of 10
- 2 Digit – 1 Digit – No Regrouping
- 2 Digit – 2 Digit – No Regrouping
- 2 Digit – 1 Digit- With Regrouping
- 2 Digit – 2 Digit – With Regrouping
- Subtraction Equations
- Word Problems
Add within 1000
13 Lessons
- Use Place Value Blocks – no regrouping
- Use Place Value Blocks – with regrouping
- Add 10 or 100
- Add Multiples of 100
- Decompose to Add
- 3 Digit + 1 Digit– No Regrouping
- 3 Digit + 2 Digit– No Regrouping
- 3 Digit + 3 Digit– No Regrouping
- Add Three or Four 2 Digit Numbers
- 3 Digit + 1 Digit– With Regrouping
- 3 Digit + 2 Digit– With Regrouping
- 3 Digit + 3 Digit– With Regrouping
- Word Problems
Subtract within 1000
14 Lessons
- Subtract 10 or 100 – no regrouping
- Subtract Multiples of 100 – no regrouping
- Use Place Value Blocks – no regrouping
- 3 Digit – 1 Digit – No Regrouping
- 3 Digit – 2 Digit – No Regrouping
- 3 Digit – 3 Digit – No Regrouping
- Subtract without Regrouping
- Use Place Value Blocks – with regrouping
- 3 Digit – 1 Digit – With Regrouping
- 3 Digit – 2 Digit – With Regrouping
- 3 Digit – 3 Digit – With Regrouping
- Subtract with Regrouping
- 0s In The Ones/Tens Place
- Word Problems
Number Patterns
7 Lessons
- Skip Count By 2s
- Skip Count By 5s
- Skip Count By 10s
- Skip Count By 100s
- Even & Odd Numbers
- Compare Numbers
- Order Numbers
Place Value
6 Lessons
- Place Value Model within 1000
- Unit value of a digit
- Expanded Form
- Word Form
- Convert Between Forms
- Regroup Unit Value
Money
8 Lessons
- Identify the Coins
- Count Money – Coins up to $1
- Identify & Count the Dollar Bills
- Compare
- Add Money
- Subtract Money
- Buying & Making Change
- Word Problems
Time
4 Lessons
- Tell Time to Half/Quarter Hour
- Tell Time to 5 Minutes
- Relate Time to a.m. & p.m.
- Elapsed Time – Whole/Half Hour
Data
3 Lessons
- Read & Interpret Picture Graphs
- Read & Interpret Bar Graphs
- Read & Interpret Line plot
Measurement
5 Lessons
- Estimate Lengths (cm, m)
- Estimate Lengths (inch, ft)
- Measure Lengths (cm, m)
- Measure Lengths (inch, ft)
- Length Word Problems
Geometry
4 Lessons
- Attributes of Shapes
- Identify Shapes
- Partition Circles Into Equal Parts
- Partition Rectangles Into Equal Parts
Grade 3
Grade 3 : Topics & Lessons
15 Topics | 122 Lessons | Infinite Questions
Addition
15 Lessons
- 3 digit + 1 digit – without regrouping
- 3 digit + 1 digit – with regrouping
- 3 digit + 2 digit – without regrouping
- 3 digit + 2 digit – with regrouping
- 3 digit + 3 digit – without regrouping
- 3 digit + 3 digit – with regrouping
- 4 digit + 1 digit – without regrouping
- 4 digit + 1 digit – with regrouping
- 4 digit + 2 digit – without regrouping
- 4 digit + 2 digit – with regrouping
- 4 digit + 3 digit – without regrouping
- 4 digit + 3 digit – with regrouping
- 4 digit + 4 digit – without regrouping
- 4 digit + 4 digit – with regrouping
- Word Problems
Subtraction
15 Lessons
- 3 digit – 1 digit – without regrouping
- 3 digit – 1 digit – with regrouping
- 3 digit – 2 digit – without regrouping
- 3 digit – 2 digit – with regrouping
- 3 digit – 3 digit – without regrouping
- 3 digit – 3 digit – with regrouping
- 4 digit – 1 digit – without regrouping
- 4 digit – 1 digit – with regrouping
- 4 digit – 2 digit – without regrouping
- 4 digit – 2 digit – with regrouping
- 4 digit – 3 digit – without regrouping
- 4 digit – 3 digit – with regrouping
- 4 digit – 4 digit – without regrouping
- 4 digit – 4 digit – with regrouping
- Word Problems
Multiplication
22 Lessons
- Repeated Addition
- Equal Groups
- Arrays
- Doubles And Triples
- Multiply by 0 or 1 – Up to 15
- Multiply by 2 – Up to 15
- Multiply by 3 – Up to 15
- Multiply by 4 – Up to 15
- Multiply by 5 – Up to 15
- Commutative Property
- Multiply by 6 – Up to 15
- Multiply by 7 – Up to 15
- Multiply by 8 – Up to 15
- Multiply by 9 – Up to 15
- Multiply by 10 – Up to 15
- Multiply by 11 – Up to 15
- Multiply by 12 – Up to 15
- Associative Property
- Distributive Property
- Multiplying by 10s
- Multiplying Two Numbers
- Word Problems
Division
19 Lessons
- Equal groups – up to 5
- Arrays – up to 5
- Half and one third
- Relating multiplication & division
- Fact Families
- Divide by 1 – up to 15
- Divide by 2 – up to 15
- Divide by 3 – up to 15
- Divide by 4 – up to 15
- Divide by 5 – up to 15
- Divide by 6 – up to 15
- Divide by 7 – up to 15
- Divide by 8 – up to 15
- Divide by 9 – up to 15
- Divide by 10 – up to 15
- Divide by 11 – up to 15
- Divide by 12 – up to 15
- Divide two numbers
- Word Problems
Place Value
5 Lessons
- Convert between Forms – up to 4 digits
- Numbers up to 100,000
- Round to nearest 10 or 100
- Compare Numbers
- Order Numbers
Fractions
10 Lessons
- Identify fractions
- Unit fractions
- Comparing unit fractions
- Equivalent fractions
- Comparing fractions – same denominators
- Comparing fractions – same numerators
- Fractions on the number line
- Fractions equal to 1
- Fractions greater or less than 1
- Word problems
Decimals
4 Lessons
- Tenths
- Hundredths
- Compare
- Order
Time
6 Lessons
- Add or Subtract Time – Hour increments
- Add or Subtract Time – 10 or 15 minute increments
- Add or Subtract Time – Within the hour increments
- Add or Subtract Time – Hour and 10 or 15 minute increments
- Time on the number line
- Word Problems
Measurement
7 Lessons
- Weight – Metric units
- Weight – U.S. customary units
- Volume – Metric units
- Volume – U.S. customary units
- Length – U.S. customary units
- Weight – Word problems
- Volume – Word problems
Reading & interpreting Data
3 Lessons
- Picture Graphs
- Bar Charts
- Line Charts
Money
5 Lessons
- Comparing
- Addition
- Subtraction
- Multiplication
- Division
Geometry
1 Lesson
- Quadrilaterals – identify various shapes
Advanced
1 Lesson
- Identify Math Patterns
Area
5 Lessons
- Counting Unit Squares
- Multiply sides
- Apply distributive property
- Decompose figures
- Word Problems
Perimeter
4 Lessons
- Regular polygons
- Non-regular polygons
- Missing side lengths
- Word problems
Grade 4
Grade 4 : Topics & Lessons
10 Topics | 106 Lessons | Infinite Questions
Place Value
9 Lessons
- Interpret Place Value – Number within 1 million
- Create Largest/Smallest Number
- Read/Write Multi-Digit Numbers – Convert Between Various Forms
- Multiply and Divide by 10
- Place Value relationship – Add subtract 1,000/10,000/100,000
- Place Value relationship – Multiplying and Dividing by 10
- Comparing Multi-Digit Numbers
- Rounding Multi-Digit Numbers
- Word Problems
Addition & Subtraction
7 Lessons
- Multi Digit Addition – up to 10,000
- Multi Digit Addition – up to 100,000
- Multi Digit Addition – up to 1,000,000
- Multi Digit Subtraction – up to 10,000
- Multi Digit Subtraction – up to 100,000
- Multi Digit Subtraction – up to 1,000,000
- Word problems
Multiplication
23 Lessons
- Multiply by 11 – up to 15
- Multiply by 12 – up to 15
- Multiply by 13 – up to 15
- Multiply by 14 – up to 15
- Multiply by 15 – up to 15
- Multiply by 16 – up to 15
- Multiply by 17 – up to 15
- Multiply by 18 – up to 15
- Multiply by 19 – up to 15
- Multiply by 20 – up to 15
- Multiply 10, 100, 1,000 & 10,000 – By Single Digits
- Multiply Multiples of 10, 100, 1,000 & 10,000 – By Single Digits
- Multiply Two-Digit Multiples of 10 – By Two-Digit Multiples of 10
- 2 Digit x 1 Digit – Area Models
- Multiply without regrouping
- 2 Digit x 1 Digit – With Regrouping
- 3 Digit x 1 Digit – Area Models
- 3 Digit x 1 Digit
- 4 Digit x 1 Digit – Area Models
- 4 Digit x 1 Digit
- 2 Digit x 2 Digit – up to 50
- 2 Digit x 2 Digit – up to 100
- Word Problems
Division
12 Lessons
- 2 Digit by 1 Digit – Estimate the quotient
- 2 Digit By 1 Digit – Without Remainder
- 2 Digit By 1 Digit – With Remainder
- Divide Multiples Of 10, 100, 1000– By divisors up to 12
- Cancelling Zeros – In Dividend and Divisor
- Divide Using Place Value
- Divide Using Area Models
- Divide Multi-Digit Numbers– By 2, 3, 4, and 5 (no remainder)
- Divide Multi-Digit Numbers– By 2, 3, 4, and 5 (remainder)
- Divide Multi-Digit Numbers – By 6, 7, 8, and 9 (no remainder)
- Divide Multi-Digit Numbers – By 6, 7, 8, and 9 (remainder)
- Word Problems
Fraction Equivalence and Comparison
7 Lessons
- Decomposing Fractions – Using Models
- Equivalent Fractions – Using Models
- Equivalent Fractions – Without Models
- Comparing Fractions – With 1
- Common Denominators
- Comparing Fractions – Unlike Denominator
- Word Problems
Fraction Arithmetic
11 Lessons
- Add Fractions – Like denominators
- Subtract Fractions – Like denominators
- Mixed Numbers – Improper Fractions
- Compare Mixed Numbers
- Adding Mixed Numbers – No Regrouping
- Adding Mixed Numbers – With Regrouping
- Subtracting Mixed Numbers – No Regrouping
- Subtracting Mixed Numbers – With Regrouping
- Multiply Fractions & Whole
- Tenths And Hundredths
- Word Problems
Measurement
12 Lessons
- Length – Metric Units – Estimating and Converting Units
- Length – US Customary Units – Estimating and Converting Units
- Length – Word Problems
- Weight – Metric Units – Estimating and Converting Units
- Weight – US Customary Units – Estimating and Converting Units
- Weight – Word Problems
- Volume – Metric Units – Estimating and Converting Units
- Volume – US Customary Units – Estimating and Converting Units
- Volume – Word Problems
- Time – Estimating and Converting Units
- Time – Word Problems
- Area and Perimeter – Squares and Rectangles
Decimals
10 Lessons
- Decimals in Words
- Decimals on the Number Line
- Decimals in Expanded Form
- Decimal Place Value – Tenths and Hundredths
- Decimals and Fractions – Less than 1
- Decimals and Fractions – Greater than 1
- Rewrite Decimals and Fractions
- Comparing Decimals and Fractions – Less than 1
- Comparing Decimals and Fractions – Greater than 1
- Ordering Decimals and Fractions
Factors And Number Patterns
4 Lessons
- Identify Factors
- Identify Multiples
- Identify Number Patterns
- Identify Prime & Composite Numbers
Geometry
11 Lessons
- Lines, Line Segments and Rays
- Basic Angle Comparison
- Angle Types
- Parallel and Perpendicular Lines
- Measure Angles
- Estimate Angles
- Decompose Angles
- Classify Triangles – Based on angle properties
- Classify Triangles – Based on length properties
- Classify Quadrilaterals – Parallel/Perpendicular sides & angles
- Line of Symmetry
Grade 5
Grade 5 : Topics & Lessons
9 Topics | 72 Lessons | Infinite Questions
Add & Subtract Fractions
10 Lessons
- Add Fractions – Using Models
- Common Denominators
- Add Fractions – Unlike Denominators
- Subtract Fractions – Using Models
- Subtract Fractions – Unlike Denominators
- Add Mixed Fractions – No Regrouping
- Add Mixed Fractions – With Regrouping
- Subtract Mixed Fractions – No Regrouping
- Subtract Mixed Fractions – With Regrouping
- Word Problems
Multiply Fractions
6 Lessons
- Multiply Fractions and Whole Numbers
- Multiplication with Fractions – As Scaling
- Multiply Unit Fractions
- Multiply non-unit Fractions
- Multiply Mixed Numbers
- Word Problems
Divide Fractions
6 Lessons
- Fraction as Division
- Relate Fraction Multiplication – To Fraction Division
- Dividing Whole Numbers – By Unit Fractions
- Dividing Unit Fractions – By Whole Numbers
- Interpretation of Numerical Expressions – To Fraction Division
- Word Problems
Add & Subtract Decimals
6 Lessons
- Add Decimals – Using Estimation and Models
- Add Decimals – With Whole and Tenths
- Add Decimals – With Whole and Hundredths
- Subtract Decimals – Using Estimation and Models
- Subtract Decimals – With Whole and Tenths
- Subtract Decimals – With Whole and Hundredths
Multiply & Divide Decimals
9 Lessons
- Multiply Decimals – Using Estimation and Models
- Multiply Decimals – Multiply Decimals & Whole Numbers
- Multiply Decimals – Decimals with Decimals
- Divide Decimals – Using Estimations and Models
- Divide Whole Numbers – Result is a Decimal
- Divide Decimals – By Whole Numbers
- Divide Whole Number – By Decimals
- Divide Decimals – By Decimals
- Word Problems
Place Value
11 Lessons
- Multiply by 10, 100 & 1,000
- Divide by 10, 100 & 1,000
- Multiply & Divide by powers of 10
- Identify Place Value
- Decimals in Expanded Form
- Decimals in Written Form
- Regrouping – Whole And Decimal Numbers
- Comparing Decimals
- Rounding Decimals
- Comparing Decimal Place Value
- Word Problems
Multi-Digit Multiplication and Division
13 Lessons
- Multi-Digit Multiplication – With Multiples of 10
- Estimate Multi-Digit Products
- Multi-Digit Multiplication – 2 Digit x 2 Digit
- Multi-Digit Multiplication – 3 Digit x 2 Digit
- Multi-Digit Multiplication – 3 Digit x 3 Digit
- Multi-Digit Multiplication – 4 Digit x 2 Digit
- Multi-Digit Multiplication – 4 Digit x 3 Digit
- Multi-Digit Division – By Multiples of 10
- Multi-Digit Division – Divide by Estimating
- Basic Multi-Digit Division
- Multi-Digit Division – By 2 Digit Numbers (No Remainders)
- Multi-Digit Division – By 2 Digit Numbers (With Remainders)
- Word Problems
Measurement & Coordinate Plane
5 Lessons
- Convert Metric Units
- Convert U.S. Customary Units
- Coordinate Plane – Graph Points
- Coordinate Plane – Lines on the graph
- Word Problems
Volume, Area & Properties of Shapes
6 Lessons
- Volume – Unit Cubes
- Volume – Rectangular Prisms
- Two non-overlapping Prisms – Decompose Figures
- Area of Rectangles – Fractional Side Lengths
- Quadrilaterals
- Word problems