Mathematics / Year 4 / Number and Algebra / Patterns and algebra

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Find unknown quantities in number sentences involving addition and subtraction and identify equivalent number sentences involving addition and subtraction (ACMNA083)

Elaborations
  • writing number sentences to represent and answer questions such as: ‘When a number is added to 23 the answer is the same as 57 minus 19. What is the number?’
  • using partitioning to find unknown quantities in number sentences
General capabilities
  • Numeracy Numeracy
ScOT terms

Subtraction,  Addition,  Mathematical expressions

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Year level 3-4
Resource type
Learning area Mathematics
Interactive resource

Pobble arrays: make multiples

Help creatures to line up and walk through gates. Make equal rows and columns. For example, start with 17 pobbles. Predict whether the number can be divided into an equal number of rows. If not, add or subtract pobbles to make a number that will work. Check your prediction. This learning object is one in a series of three objects.

Interactive Resource

Sites2See: Patterns and Algebra

Selected links to a range of interactive online resources for the study of patterns and algebra in Foundation to Year 6 Mathematics.

Interactive resource

What's the problem: planets: level 1

Star as a contestant in a quiz show! Select three worded mathematical problems, about planets, from two categories: 'Earth and moon' or 'solar system'. Identify the correct answer for each step in the problem-solving process. Examine the suggestions made by the panel to help you. Collect a prize based on your score. This ...

Interactive resource

What's the problem: nature: level 1

Star as a contestant in a quiz show! Select three worded mathematical problems, about nature, from two categories: 'plants' or 'animals'. Identify the correct answer for each step in the problem-solving process. Examine the suggestions made by the panel to help you. Collect a prize based on your score. This is the first ...

Interactive resource

Balance the cups

Put blocks (or balls) into the cups on the scales to make them balance, using the number rules A = B + C and A + B = C + D. Use your knowledge of addition and multiplication to help you work out how many blocks you need in each cup. Finish the number sentence to show an equal number of blocks on each side. This learning ...

Interactive resource

Balance the cups: use the rule 3

Put blocks into the cups on the scales to make them balance, using the number rule A + B = C + D. Use your knowledge of addition to help you work out how many blocks you need in each cup. Write the number sentence to show an equal number of blocks on each side. Look for patterns to help you think of another solution. This ...

Teacher resource

reSolve: Algebra: Odds and Evens

This sequence of two lessons focuses on developing students' understanding of the properties of odd and even numbers. Students explore the results of adding and subtracting odd and even numbers and use these results to make generalisations. They then apply this generalisation to solve problems and to explore patterns. The ...

Teacher resource

reSolve: Algebra: Chess - The King

This lesson aims to build students' algebraic reasoning and understanding of number as they explore computation on the number chart. Students explore the moves of a king chess piece and how the value of the numbers change as he moves. This builds into an algebraic exploration of equivalent values that can be found on the ...

Teacher resource

reSolve: Algebra: Triangle Inequality

This sequence of two lessons explores the triangle inequality theorem. Students are challenged to construct triangles with a given number of matchsticks, explore and record what combinations of sticks can create valid triangles and represent their findings using mathematical expressions. Each lesson is outlined in detail ...

Interactive Resource

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

Interactive resource

Exploring number patterns

Find an addition or subtraction pattern relating to four numbers on a grid. Predict the next three numbers in the pattern. For example, predict the next three numbers in the following sequence: 60, 53, 46, 39...

Assessment resource

Thinking multiplication: 2-digit by 1-digit: assessment

Test your ability to turn a word problem into an equation such as 7 x 13. Solve the equation without a calculator. Use a multiplier tool to show your thinking when solving the equation. Choose which strategy you used to solve the problem. View and print a report of your results. This assessment object is the first in a ...

Teacher resource

Primary mathematics: open-ended tasks

These seven learning activities, which focus on 'open-ended tasks' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use investigations in order ...

Collection

Mixed-Up Maths

Join our host, Ed, as he finds himself in all types of situations where only his knowledge of Maths can help him. From saving the planet from Aliens, to creating a superhero that can stop a strawberry milkshake tidal wave. From searching for buried treasure, to jumping like a daredevil, or planning the greatest circus party ...

Tablet friendly (Interactive resource)

Musical number patterns: odds and evens

Make some music by building up rhythms for chimes. Complete a counting rule that matches a pattern on a number line. Select the start number or select a number to count by. For example, start at 1 on a number line; then choose which number to count by (4, 5 or 6) to alternate between odd and even numbers. Add a second number ...

Interactive resource

Bridge builder: triangles 1

Build bridges by adding triangular sections. Each section is made up of three beams. Make bridges in order of increasing widths (increasing by one section each time). Examine a table and graph of the total number of beams used in bridges of different sizes. Predict the number of beams needed to build a wider span. Describe ...

Collection

Mental calculation strategies - addition and subtraction

This collection of 21 digital curriculum resources focuses on assisting students to develop efficient and effective mental calculation strategies for performing additions and subtractions of two-, three- and four-digit whole numbers. It is organised in three categories: developing strategies - addition; developing strategies ...

Interactive resource

Musical number patterns: the challenge

Make music by building up rhythms from two instruments. Make a counting rule that includes a given number. Select the start number and then select a number to count by. For example, include the number 9 in a counting pattern by starting at 1, then count by 4. Describe another counting pattern that includes the same number. ...

Moving Image

Adding and subtracting numbers in the hundreds

Can you add two numbers that are both in the hundreds? Here's an example that uses 149 and 673. See how to carry the tens and hundreds. Also watch how to subtract two numbers that are both in the hundreds. This example uses 741 and 218. Take 218 away from 741. See how to do the tricky bit of 'carrying'.

Assessment resource

Thinking addition: 2-digit plus 2-digit: assessment

Test your ability to turn a word problem into an equation. Solve the equation without a calculator. For example, use a partitioning tool to help solve the sum 38+19. Choose which strategy you used to solve the problem. View and print a report of your results. This assessment object is the second in a series of two objects ...