Year 4 Maths skills

Properties of odd and even numbers

Use pairs, ones digits and operation patterns to classify numbers, predict parity and justify conclusions.

Duration, am/pm and time conversions

Solve practical duration problems and connect am/pm with conversions between units of time.

Tenths, hundredths and decimal notation

Recognise and extend place value to tenths and hundredths and use decimal notation to name and represent decimals

ExampleIn a class project, two lengths are 1.12 m and 1.21 m. Which is longer?

Odd and even numbers

An even number can be arranged into pairs with no remainder; an odd number leaves one unpaired. Parity follows predictable patterns under addition, subtraction and…

ExampleIn a class project, is 127 odd or even?

Equivalent fractions and decimals

Equivalent fractions name the same point or amount even though they use different-sized parts. Multiplying or dividing the numerator and denominator by the same factor…

ExampleIn a class project, which fraction is equivalent to 1/4?

Count by fractions and mixed numerals

Fractions are numbers that can be counted and located on a continuous number line. An improper fraction and a mixed numeral can represent the same point, such as 7/4 = 1…

ExampleIn a class project, which number is at 3 quarter-steps from zero?

Multiply and divide by powers of 10

Solve problems involving multiplying or dividing natural numbers by multiples and powers of 10 using place-value relationships

ExampleIn a class project, what is 21 × 10?

Efficient strategies for the four operations

Develop efficient strategies and use appropriate digital tools for addition and subtraction, and multiplication and division where there is no remainder

ExampleIn a class project, what is 183+29?

Choose and use estimation and rounding to check and explain the reasonableness of calculations including the results of financial transactions

A useful estimate is close enough for the purpose and simple enough to calculate mentally. Rounding to tens, hundreds or thousands should be chosen deliberately rather…

ExampleIn a class project, which estimate best checks 358+237?

Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts

use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems using number…

ExampleIn a class project, 6 packs cost $5 each. Which equation models the cost?

Follow and create algorithms involving a sequence of steps and decisions that use addition or multiplication to generate sets of numbers; identify and describe any emerging patterns

follow and create algorithms involving a sequence of steps and decisions that use addition or multiplication to generate sets of numbers; identify and describe any…

ExampleIn a class project, an algorithm starts at 6, doubles, then adds 3. What is the output?

Find unknown values in numerical equations involving addition and subtraction, using the properties of numbers and operations

An equation states that two expressions have the same value. Solving means finding a value that preserves equality, not moving symbols by a memorised trick

ExampleIn a class project, a missing number plus 32 equals 154. What is the missing number?

Recall and demonstrate proficiency with multiplication facts up to 10 x 10 and related division facts

recall and demonstrate proficiency with multiplication facts up to 10 x 10 and related division facts; extend and apply facts to develop efficient mental strategies for…

ExampleIn a class project, which fact is connected to 5 × 6 = 30?

Interpret unmarked and partial units when measuring and comparing attributes of length, mass, capacity, duration and temperature, using scaled and digital instruments and appropriate units

interpret unmarked and partial units when measuring and comparing attributes of length, mass, capacity, duration and temperature, using scaled and digital instruments and…

ExampleIn a class project, which unit best measures a drink bottle?

Perimeter and area of shapes and enclosed spaces

Recognise ways of measuring and approximating perimeter and area using appropriate formal and informal units

ExampleIn a class project, a rectangle is 5 m by 3 m. What is its perimeter?

Duration, am/pm and time conversions

Solve problems involving duration, situations using am and pm, and conversions between units of time

ExampleIn a class project, an activity starts at 9:15 and lasts 45 minutes. When does it finish?

Estimate and compare angles

Use angle names including acute, obtuse, straight, reflex and revolution, and recognise their relationship to a right angle

ExampleIn a class project, an angle is 270°. Which description is correct?

Represent and approximate composite shapes and objects in the environment, using combinations of familiar shapes and objects

Complex shapes and objects can be represented by combining familiar shapes. A useful approximation preserves the important structure and proportions without copying every…

ExampleIn a class project, which familiar shapes best approximate a house?

Create and interpret grid reference systems using grid references and directions to locate and describe positions and pathways

Grid references identify positions consistently. A system must define how letters, numbers or coordinates are read, and pathway instructions must use a fixed orientation…

ExampleIn a class project, what does grid reference A2 mean?

Recognise line and rotational symmetry of shapes and create symmetrical patterns and pictures, using dynamic geometric software where appropriate

Line symmetry occurs when reflection across an axis maps a figure onto itself. Rotational symmetry occurs when a turn less than 360° maps the figure onto itself…

ExampleIn a class project, how many lines of symmetry does a non-square rectangle have?

Acquire data for categorical and discrete numerical variables to address a question of interest or purpose, using digital tools

acquire data for categorical and discrete numerical variables to address a question of interest or purpose, using digital tools; represent data using many-to-one…

ExampleIn a class project, which question collects categorical data?

Analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the variation in the data

analyse the effectiveness of different displays or visualisations in illustrating and comparing data distributions, then discuss the shape of distributions and the…

ExampleIn a class project, a column graph shows Red 7, Blue 9, Green 11. Which is highest?

Conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and communicate the results

conduct statistical investigations, collecting data through survey responses and other methods; record and display data using digital tools; interpret the data and…

ExampleIn a class project, which plan best investigates how students travel to school?

Describe possible everyday events and the possible outcomes of chance experiments and order outcomes or events based on their likelihood of occurring

describe possible everyday events and the possible outcomes of chance experiments and order outcomes or events based on their likelihood of occurring; identify…

ExampleIn a class project, a bag has 2 red and 10 blue counters. Which colour is more likely?

Conduct repeated chance experiments to observe relationships between outcomes; identify and describe the variation in results

Repeated experiments show variation: identical chance conditions can produce different short-run results. Larger combined samples often give a more stable picture of…

ExampleIn a class project, a coin lands heads 8 times in 20 tosses. Which statement describes the result?