AC9M1N01 • Year 1 Maths

Numbers to 120

Numbers to 120 can be represented with objects, numerals, number lines and charts. The same number can be shown in different ways.

Learning goals

Numbers to 120 can be represented with objects, numerals, number lines and charts. The same number can be shown in different ways.

Learning routine: Build → Say → Write → Locate → Order

Success looks like

  • Represent numbers to 120
  • Read numerals
  • Use tens and ones
  • Locate on number lines/charts
  • Order and compare
Concept model and worked application

Show the same number in more than one way

868 tens and 6 ones80 + 6on a number line

Use the representation to explain how you know the number and where it belongs.

Use place and order to compare numbers

5885105

Compare the largest place first: hundreds, then tens, then ones. On a number line, numbers farther right are greater.

Explain your thinking: Say what each part of the model represents, then explain why the answer or conclusion follows.

Compare the whole number

Connect a numeral to its groups and position, including numbers past 100.

Worked example

Which is greater: 97 or 103?

Place values
NumberHundredsTensOnes
97097
103103
  1. Build 97 with 9 tens and 7 ones. Build 103 with 1 hundred, no tens and 3 ones.
  2. One hundred is already more than 97. Comparing only the final digits would miss the hundred.
  3. On a number line, 97 comes before 100 and 103 comes after it. So 103 is greater.

Watch for this mistake: Looking at the ones digit first can give the wrong comparison. Compare the complete quantities; start with the largest place.

Try it, then explain

  1. Order 89, 108 and 98 from least to greatest.

    Hint

    Build or sketch the tens and hundreds first.

    Answer and explanation

    89, 98, 108. The two numbers below 100 come first; 8 tens is less than 9 tens.

  2. A number line shows 109, 110, __, 112. What is missing?

    Hint

    Each step adds one.

    Answer and explanation

    111. One more than 110 is 111.

Australian Curriculum elaborations

These curriculum examples extend the central model into varied contexts. They are learning contexts, not extra definitions to memorise.

E1

reading, writing and naming numerals and ordering two-digit numbers from zero to at least 120, using patterns within the natural number system, including numbers that look and sound similar; for example, 16, 60, 61 and 66

Try and explain: Read 17, 70 and 71. Which is greatest? Explain using tens and ones.

Answer and teaching point

71 is greatest: it has seven tens and one one. 70 has seven tens with no extra ones; 17 has only one ten.

E2

using number tracks or positioning a set of numbered cards in the correct order and relative location by pegging on an empty number line

Try and explain: Place 42 between 40 and 50 on an equally spaced number line. Is it closer to 40 or 50?

Answer and teaching point

It is closer to 40: two steps after 40 and eight steps before 50. The spaces must represent equal increases.

E3

using hundreds charts to build understanding and fluency with numbers; for example, collaboratively building a hundreds chart using cards numbered from zero to 99; colour code the count of tens in a hundreds chart using one colour to represent the number of tens and another to represent the number of ones

Try and explain: On a chart with ten numbers in each row, 34 is directly above 44. What changes when moving down one row?

Answer and teaching point

The number increases by ten. The tens count changes from three to four, while the ones digit stays four.

E4

recognising that numbers are used in all languages and cultures but may be represented differently in words and symbols; for example, through kanji numbers in Japanese and characters in Chinese, and that there are alternate numeration systems; for example, using special characters for 10 and 100 and other multiples of 10 in Japanese and Chinese numeration

Try and explain: Two cards use different written symbols. Each card is matched to a collection of seven dots. Must the amounts be different?

Answer and teaching point

No. Different words or symbols can represent the same quantity. Counting both collections gives seven.

Common misconceptions and traps
  • Reversing digits — Say the tens first: 64 is six tens and four ones, not 46.
  • Counting chart rows incorrectly — Check the tens row before reading the ones.
  • Thinking more digits always means close numbers — 105 is greater than 99 even though it starts again after 100.
Guided learning activities

Build and write

Build a two-digit number with tens and ones, then write the numeral.

Model: 47 = 4 tens + 7 ones

Number-line locate

Place 36, 63 and 103 on a simple number line or hundred chart.

Model: 0 — 20 — 40 — 60 — 80 — 100 — 120

Order check

Order four number cards from smallest to largest and explain how you decided.

Model: 29, 92, 39, 109

Revision Notes

Key idea: Numbers to 120 can be represented with objects, numerals, number lines and charts. The same number can be shown in different ways.

Remember

  • Represent numbers to 120
  • Read numerals
  • Use tens and ones
  • Locate on number lines/charts
  • Order and compare

Quick questions

  • Show 74 in two different ways.
  • Which is greater: 68 or 86? Explain.
  • Where would 115 sit on a 0–120 number line?
  • Order 42, 24, 102 and 72.

Return to the concept model if an answer is uncertain. Use the model to explain, not just to guess.

Official curriculum reference

AC9M1N01: recognise, represent and order numbers to at least 120 using physical and virtual materials, numerals, number lines and charts

Australian Curriculum Version 9.0

Practice, test and teacher resources

Use the Practice Sheet for written or hands-on work, Practice for supported feedback, and Test when the student is ready to demonstrate independent mastery.

🎥 Optional Video Lesson

The SkillrHub lesson remains the primary learning resource. This optional video reinforces the explanation; you can complete the lesson and practice without watching.

Back to the lesson

Before you watch:

  • Pause after each worked example.
  • Try the examples yourself.
  • Return to the SkillrHub lesson before continuing.
Recommended: Counting by Ones

Scratch Garden — Practise counting in ones to 100, then continue to 120 in the topic lesson.

As you watch: Listen to what changes after each number ending in nine.

Load video player Loads YouTube in this lesson. See the video notice below.

Try it: Start at 96. Say and write the numbers through 120. Use a number chart to check.

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Curriculum equivalents: Victoria, NSW and international

Curriculum equivalents for Numbers to 120

Mapped skill: recognise, represent and order numbers to at least 120 using physical and virtual materials, numerals, number lines and charts

These references identify matching or closely related learning. Curriculum sequence, terminology and depth vary, so teachers should use the mapped skill and lesson difficulty to confirm suitability.

RegionCurriculum frameworkClosest level or code
AustraliaAustralian Curriculum v9.0AC9M1N01 · Year 1
VictoriaVictorian Curriculum F–10 Version 2.0 — MathematicsVC2M1N01 · Level 1
New South WalesNSW Mathematics K–10 Syllabus (2022)MA1-RWN-01 + MA1-RWN-02 · Stage 1
United States (USA)Common Core State Standards for MathematicsGrade 1
Canada (Ontario)Ontario Curriculum — MathematicsGrade 1
United Kingdom (England)National Curriculum in England — MathematicsYear 2, Key Stage 1
IndiaNCERT / CBSE — MathematicsClass 1

Australian Curriculum v9.0 is the canonical source for this SkillrHub lesson. Victoria and NSW entries name the closest published state codes or outcomes; international entries are planning references rather than claims of identical curricula.

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