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Mathematics / Year 2 / Number and Algebra / Patterns and algebra

Curriculum content descriptions

Describe patterns with numbers and identify missing elements (ACMNA035)

Elaborations
  • describing a pattern created by skip counting and representing the pattern on a number line
  • investigating features of number patterns resulting from adding twos, fives or 10s
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Number patterns

Interactive

Musical number patterns: music maker

Make some music by building up rhythms for four instruments. Choose a starting point on a number line and build a counting rule. Count in lots between 2 and 10 until you reach 36. Add your number several times on the number line to make a pattern. For example, set up a sound pattern where a trumpet waits on the first note, ...

Interactive

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.

Online

Repeating and growing patterns: Year 2 – planning tool

This planning resource for Year 2 is for the topic of Repeating and growing patterns. Students continue to appreciate and observe how patterns are present throughout mathematics. They recognise, describe and create additive patterns that grow or shrink by a constant amount. They also identify missing elements in pattern sequences.

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Patterns Year 2 - Calculate

The focus of this activity is on patterns and algorithmic thinking. The lesson aims to encourage students to explore problems with limited assistance from the teacher. Although the teacher asks questions and can prompt learning, the students will investigate the problem using their own strategies.

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Pattern & Algebra Year 2 - Calculate

The focus of this activity is to discover if students can use numbers to describe a pattern that it written as a description. From here we are interested in finding out if students can interpret the pattern, discover the rule and apply this rule to find missing or future terms.

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Pass The Count - Calculate

This game allows students to practice their skip counting skills in small groups.

Downloadable

Algebra: Foundation to Year 9

This comprehensive resource describes the progression of algebra-related ideas and algebraic thinking. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in algebra including teaching and cultural implications.

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Space Race Game (Introducing Algorithmic Thinking) - Calculate

Space Race is a simple board game that teachers can use to introduce the concept of algorithmic sequencing to students. The teaching points provided with the game assist teachers to introduce the use of an algorithm (a simple set of mathematical instructions) to describe the trajectory of an object across a grid plane from ...

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See & Say - Calculate

This class warm-up game focuses on practising addition and subtraction strategies and developing algebraic thinking by using a rule applied to a list of numbers.

Interactive

Number trains

Arrange train carriages according to numbers on their sides. The numbers are represented in a range of formats such as words, numerals, dice dots or counting frames. Identify the numbers that come before and after starting numbers. Begin with numbers up to ten. Move on to work with larger numbers such as 40 and 50. Practise ...

Interactive

The array

Use an array-building tool to help solve multiplications. Explore strategies to break up multiplications. Create and solve easy multiplications such as 9x3. Examine relationships between rows, columns and areas in arrays.

Interactive

Musical number patterns: musical times

Make some music by building up rhythms from four instruments. Make a counting rule that matches a pattern on a number line. Select the start number and then select a number to count by. For example, describe a sound pattern where a saxophone waits on the first note, and then plays on every eighth note. Add a second number ...

Interactive

The array: go figure

This tutorial is suitable for use with a screen reader. It explains strategies for solving simple multiplications in your head such as 6x4. Work through sample questions and instructions explaining how to break up numbers into their factors. Solve multiplications by using arrays to break them up into rows and columns, then ...

Interactive

The difference bar: go figure

This tutorial is suitable for use with a screen reader. It explains how to split up numbers in your head when finding the difference between two numbers such as 26 and 73. Work through sample questions and instructions explaining how to use linear partitioning techniques. Find the difference between pairs of numbers. Split ...

Interactive

Wishball: hundreds

Test your understanding of place value with three-digit numbers. Start with a three-digit whole number such as 507. A spinner provides a randomly generated digit. Choose its place value and add it to (or subtract it from) your starting number. Work towards a given target number, say 539, using other digits. You can choose ...

Online

Primary mathematics: games, simulations and modelling

These seven learning activities, which focus on 'games, simulations and modelling' 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 games, ...

Interactive

How does your garden grow?

This Stage 2 resource grew from a conversation between young students questioning why they could still buy grapes if they were out of season. This wondering led to a discussion around when we grow certain fruit and vegetables. The original stimulus was extended to cover planting for the seasons and factors that influence ...

Online

First to finish

Compare algorithms designed to complete the same task, and evaluate each for efficiency.

Online

Skip-counting with Bee-bots

Play a skip counting game where students program the Bee-Bot to stop at multiples of a set number, eg 2, 4, 5, 10 on a number grid.

Interactive

Hundreds, tens and units

This is an interactive resource that represents numbers visually as groups of hundreds, tens and units. It can be used to count numbers by partitioning them based on place value, or to represent numbers by building them from grids of hundreds, tens and units. The numerals matching the visual representations can be visible ...