# Stage 1 Patterns and algebra

Identify a repeating pattern; build simple number patterns; continue simple number patterns and determine missing elements; recognise patterns and applies the commutative property; relate addition and subtraction facts

## Strategy

Students can:

• identify a repeating pattern
• build simple number patterns
• continue simple number patterns and determine missing elements
• recognise patterns and applies the commutative property
• relate addition and subtraction facts

## Activities to support the strategy

In Stage 1, the concept of equality and the understanding that the equals sign also means 'is the same as’ is important. Students need to see the 'equals sign’ like a balance or a set of scales; both sides need to total the same amounts. At this stage, students need to start building their understanding of patterns for individual numbers and be able to list all possible combinations. Knowledge of number combinations is the foundation for seeing numbers as flexible. This understanding has strong links to addition and subtraction and can be applied to develop strategies such as; counting on and off the decade, bridging to ten, using related number facts, jump and split strategies.

### Activity 1

1. Students are allocated a one- or two-digit number and a set of objects, such as counters or cubes and paper. They are asked to show their number in as many different ways as possible and using any of the objects provided - in words, in diagrams, in numbers and using the objects. In small groups, students describe the different ways they have recorded their number, e.g. the number 10 can be shown as 2. Students use cubes or plastic squares to build a staircase pattern. They draw, count and record the number of squares used in the pattern. Ask questions about the pattern the students have made.

• How many squares make up the first shape in the pattern? The second shape? The fifth shape?
• How many squares were added to the first shape to make the second shape? The second shape to 4.The teacher builds the pattern, using buttons or counters. Discuss:

• How many buttons will be in the next shape in this pattern? How do you know?
• How did we make the next shape in the pattern?

Continue the pattern by adding more terms. Use a sheet of card to cover one of the middle terms.

Ask: How many buttons in the shape I have covered? How do you know?

### Activity 2

1. Arrange individually numbered cards in a row from one to twelve, face down. Turn over a sequence of four cards at a time asking students what numbers they can see, what numbers are hidden and what the next number will be. Model mathematical statements using students' contributions to explain the patterns created, e.g. start at 4 and turn over every number card when you count by four.

2. Construct a wall chart of key phrases used in number patterns. Discuss the meaning of the phrases using a number chart and write examples next to the phrases. 3. Provide pairs of students with a set of directions for making patterns (using phrases listed on the wall chart) and a number chart. One student reads the direction for making a pattern from the number chart while the other student follows the direction and makes the pattern using counters or writing numbers.

#### Directions for making patterns 4. Students work in pairs to construct a pattern on a number chart using blank cards and Blu Tack to cover the numbers. Students refer to the wall chart of key phrases to assist them in writing the directions for their pattern.

5. Students use the musical counter learning object to explore repeating elements in patterns. Students make sound patterns by following a rule starting from a given number on a number line. Other sound patterns can be added using different musical instruments.    ## References

### Australian curriculum

ACMNA026: Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences

### NSW syllabus

MA1-8NA: Creates, represents and continues a variety of patterns with numbers and objects.

### NSW numeracy continuum

Aspect 3: Pattern and number Structure – Part – Whole to 10, – Part – Whole to 20, – .

### NSW literacy continuum

WRIC7M1: Aspects of writing, Cluster 7, Marker 1: Plans texts by making notes, drawing diagrams, planning sequence of events or information, etc.

## Teacher resources

### Interactive whiteboard activities

Includes an interactive lesson which looks at patterns, where they occur and how they repeat.