# Year 3 maths: study Notes and Solved Examples

### Year 3 Maths – Study Notes and Examples

Counting and number patterns

Comparing and ordering

• Comparing numbers
• Sorting Numbers
• Solve Inequalities

Names of numbers

• Convert Words to Numbers up to 100
• Convert Numbers to Words up to 100
• Write Addition and Subtraction Equations
• Ordinal Numbers up to Tenth
• Ordinal Numbers up to Hundredth

Patterns

• Repeating Patterns
• Growing Patterns

• Review Addition – Sums to 20
• Addition using Number Lines to 20
• Addition Input/Output Tables to 20

Subtraction – one digit

• Subtraction equation
• Subtract Zero or All
• Subtracting One-Digit Numbers
• One-Digit Subtraction Input/Output Tables

• Adding Two Two-Digit Numbers with Regrouping

Subtraction – two digits

• Subtracting Two-Digit Numbers Without Regrouping
• Two-Digit Subtraction Input/Output Tables

• How to Add Three-Digit Numbers
• 3-Digit Addition with Regrouping in Tens

Subtraction – three digits

• How to Subtract Three-Digit Numbers
• 3-Digit Subtraction with Regrouping in Tens and Ones
• Three-Digit Subtraction Word Problems

Multiplication

• Multiplication tables up to 10
• Multiply a one-digit number by a two-digit number

Division

• Divide by counting equal groups
• Division facts for 2, 3, 4, 5, 8 and 10
• Divide using repeated subtraction

Place values

• Ones and Tens Place
• Convert Numbers to Thousands, Hundreds, Tens and Ones
• Expanded Form with Hundreds and Thousands Place

Estimation and rounding

• Rounding to the Nearest Ten, Hundred, or Thousand
• Estimating Sums

Money

• Coin values
• Counting All Coins
• Make Purchases

Time

• Learn to Tell Time
• Using O’clock, Half, and Quarter

Data and graphs

• Tally Charts and Tables
• Pictographs
• Venn Diagrams

Units of measurement

• Compare size, weight and capacity
• Measuring Tools

Two-dimensional shapes

• Circles, Triangles, Squares, and Rectangles
• Flip, Turn, and Slide

Three-dimensional shapes

• Three Dimensional Shapes
• Tracing 2D Shapes from 3D Shapes

Perimeter and area

• Perimeter
• Area

Understand fractions

• Halves, Thirds, and Fourths
• Fractions to Shapes
• Equivalent fractions

Probability

• More, less and equally likely
• Certain, Likely, Unlikely, Impossible

### Year 3 Maths – Syllabus

Number and place value

• Counting in steps of 2, 3 and 5
• Putting the numbers one to 100 in the correct order
• Using < and > symbols
• Recognising the place value of each digit in a two-digit number

Calculating

• Adding and subtracting one- and two-digit numbers
• Knowing addition and subtraction facts up to 20
• Learning the 2, 5 and 10 times tables, plus division facts
• Identifying odd and even numbers

Fractions

• Finding 1/3, 1/4, 2/4 and 3/4 of a shape or quantity

Measurement

• Using appropriate units to measure length, weight and capacity
• Combining amounts of money to make a particular value
• Working out how much change to give
• Tell the time to five minutes, including quarter to / past the hour

Geometry

• Identifying, describing and sorting common 2D and 3D shapes
• Understanding that a quarter turn is a right angle
• Confident with clockwise and anti-clockwise

Statistics

• Interpreting and constructing simple pictograms, tally charts, block diagrams and tables