# Level D – Ages 8 – 10

## The curriculum for Level D matches the requirement and abilities of children between the ages 8 and 10. Following is a list of topics covered and the skills learnt at this level. These worksheets deal with more than 200 skills for children to master at this level. These skills are mostly taught at grade four, standard IV, year 4 or class IV. A child at these levels should be able to perform these skills easily. The tutor sheets are designed to explain the concepts with simple explanations and visuals and the worksheets are graded from simple to complex and have and encourage inductive thinking amongst the children. After completion of Level D the child is expected to have mastered these following skills.

## Numbers – 1000 - 9999

- Counting up to 9999
- Matching numbers with their names 1 - 9999
- Identifying bigger numbers
- Identifying smaller numbers
- Arranging numbers from small to big
- Arranging numbers from big to small
- Comparing numbers
- Supplying missing numbers
- Counting forward in jumps from a given number
- Counting backwards in jumps from a given number
- Missing numbers

## Concept of place value – 1-9999

- Identify the value of the underlined digit
- Expressing the given numbers as tens and ones
- Hundreds and thousands
- Thousands, Hundreds, tens and ones
- Split the given number into thousands, hundreds, tens and ones
- Round of the numbers to the nearest 10s, 100s, 1000s
- Identify the digits in the thousands place
- Identify the digit in the hundred’s place
- Identify the digit in the ten’s place
- Identify the digit in the one’s place
- Expand given number as sum of thousands hundreds, tens and ones

## Addition

- Revising addition of single digit numbers and the strategies used
- Strategies – doubling two digit and three digit numbers
- Pairs that sum up to 100 – Story sums
- Using pairs that sum up to 100 strategies add 3 numbers
- Addition of 2 digit numbers
- Addition of 3 2-digit numbers – Drills
- Addition of 3 digit numbers
- Story sums Addition and subtraction
- Adding 3 single digit numbers
- Adding 4 digit numbers - Stories
- Adding 2 2-digit numbers
- Addition story sums

## Subtraction

- Subtraction stories based on completion
- Subtraction stories based on reduction
- Subtraction stories based on difference
- Subtraction 4 digit numbers
- Identify the operation to be used

## Multiplication

- Multiplication drills 1 – 6 times tables
- Multiplication drills 7 – 10 times tables
- Multiplication square tables
- Multiplying two digit numbers with a one digit number
- Mental multiplication
- Multiplying 3 digit numbers with single digit numbers and 2-digit numbers
- Multiplying 2-digit numbers with 2-digit numbers
- Solving multiplication stories
- Multiplication by 10 and multiples of 10
- Multiplying by composite numbers
- Multiplying by prime numbers
- Multiples
- Write the multiples of a given number fulfilling a condition (1 - 10)
- Circle the multiples of a given number
- Common multiples
- Skip counting
- Story sums
- Circle the common multiples
- Find the least/ lowest common multiple
- Finding least common multiples of prime numbers
- Finding least common multiples of composite numbers

## Division

- Introduction
- Concept of division
- Division sentences
- Write a division sentence looking at the given visuals
- Write a division statement looking at the given story
- Division stories with pictures
- Division by 2
- Division by 3
- Division by 4
- Divide by 5
- Halving
- Division by 6
- Divide by 7
- Division by 8
- Division by 9
- Division facts (drills) 2 – 9
- Concept of remainders
- Division by 2 – with remainder
- Division by 3 – with remainder
- Division by 4 – with remainder
- Divide by 5 – with remainder
- Halving – with remainder
- Division by 6 - remainder
- Divide by 7 – with remainder
- Division by 8 – with remainder
- Division by 9 – with remainder
- Division facts (drills) 2 – 9 – with remainder

## Mixed operations

- Concept of fact families
- Fact families: Multiplication and division
- Bringing out the relation between multiplication and division
- Commutative property of multiplication
- Add or multiply
- Subtract or divide
- Supply the missing number depending on the statement
- Fill in the blanks with the missing operation
- Rules of operation – Division before addition and subtraction
- Rules of operation – Multiplication before addition and subtraction
- Brackets
- Mixed operations using brackets
- Insert the bracket to make the statement true
- Mixed story sums
- Double operation story sums
- Single operation stories mixed
- Identify the operation from the given story, write the statement and solve
- Multiple operations – Identify the 2 or more operations in the story and solve
- Add, subtract and multiply 3 2-digit numbers
- Add subtract and multiply 4 numbers
- Solve the following multi-step stories
- Insert missing operations
- Mixed operations – 4 operations
- Add, subtract multiply or divide
- Operation terms
- Multi-step mixed operation stories

## Variables and constants

- Concept of equation, algebraic equation, variables, constants and expressions
- Match the following expressions with their descriptions
- Write an expression based on the given description
- Writing expressions using a variable
- Choose the correct expression to solve an algebraic story sum
- Select the correct equation that would solve the given story sum

## Fractions

- Unit fractions – Concept
- Representing fractions on a number line
- Write the numerator and the denominator of the given figures (fractions)
- Write the fraction as _____ parts of ______ looking at the given figure
- Ordering fractions in ascending and descending order
- Comparing fractions greater or smaller or equal
- Mixed fractions concept
- Concept of improper fractions
- Identify the kind of fraction by looking at the figures
- Shade the figures to represent the given fraction
- Say what type of fraction the given number is
- Convert improper fractions to mixed fractions
- Convert mixed fractions to improper
- Fraction – Story sums
- Relation between fractions and division
- Expressing a whole number as a fraction
- Identify proper fractions using division
- Identify improper fractions using division
- Identify fractions = 1 using division
- Identify Fractions <, >, = 1
- Expressing division sentences as fractions
- Express quotients as fractions
- Equivalent fractions – concept
- Select the fractions that is equivalent to the given fraction
- Identifying equivalent fractions
- Fill in the blanks with missing fractions in the pattern
- Reducing fractions by prime factors
- Comparing fractions <,=, >
- Like and unlike fractions – concept
- Identifying unlike fractions
- Identifying like fractions
- Comparing like fractions
- Adding like fractions
- Subtraction in like fractions

## Logic

- Identifying the logical way to do a sum
- Using a step by step approach to solve logical problems
- Product and sum/difference sums
- Quotients and sum/difference sums
- Mixed sums

## Geometry

- Concept of angles
- Concept of straight angle
- Concept of right angle and 90 degrees
- Concept of acute angle
- Concept of obtuse angle
- Identifying different types of angles
- Select the angle whose name is given
- Mark the given angles on a closed figures
- Polygon and angles
- Count the number of angles in the given polygon
- Count the number of right angles
- Count the number of acute angles
- Count the number of obtuse angles
- Types of triangles: Equilateral, Scalene, and Isosceles
- Type of triangles: Right, Acute and Obtuse
- Select the correct type of triangle based on the given descriptions
- Identify the types of triangle from the given figures
- Concept of perimeter
- Calculate the perimeter of the given figures
- Area and perimeter story sums
- Area and perimeter
- Find the area and perimeter of the squares and rectangles
- Solve multi-step area and perimeter sums

## Measurement

## Length

- Ordering objects according to unit of length (shortest to longest)
- Concept of 1 mm
- Concept of 1 cm
- Concept of 1 metre
- Concept of 1 kilometre
- Conversions
- Converting Kilometres into metres
- Convert metres into cm
- Convert cm into mm
- Relationship between 1 kilometre, 1 metre, 1 cm and 1 mm
- Selecting appropriate measurement unit (km, m, cm)
- Selecting correct estimate of the lengths of the given objects
- Based on the description in the stories select the correct length to answer the question

## Weight

- Concept of milligram, grams, kilogram, ton
- Arrange the weights to heavy to light
- Order the weights from light to heavy
- Select the better estimate of the weights (units) Select the most appropriate unit of measurement
- Convert the given grams into milligrams
- Convert the given tonnes into kilograms
- Convert the given kilograms to grams
- Convert the given hectograms to grams
- Convert the given decagrams into grams
- Based on the description in the stories select the correct weight to answer the question

## Money and Shopping

- Calculation of total amounts in bills
- Calculate the total purchases
- Calculate the balance that each shopper has to get
- Calculating discounts
- Mixed operations in shopping

## Time

- Reading a calendar
- Reading a train schedule
- Reading an event schedule
- Reading a weather report
- Reading a movie schedule
- Time story sums
- Addition of hours and minutes
- Telling the time after some time
- Telling the time before some time
- Telling how much time an activity will take/ takes
- Reading time schedules
- Time stories

## Data gathering and representation

- Interpreting bar graphs
- Read the bar graph to answer questions about the data
- Select the correct bar graph based on the data described
- Look at the tally table and draw a bar graph
- Concept of line graphs
- Interpreting line graphs
- Read the line graph to answer questions about the data
- Look at the tally table and draw a line graph
- Select the correct line graph based on the data described
- Select the appropriate graph to be used given the data description