Mathematics · Year 3

Active learning ideas

Counting in Multiples of 50 and 100

Counting in multiples of 50 and 100 requires students to visualize number patterns and understand place value. Active learning strategies like station rotations and collaborative investigations allow students to physically manipulate numbers and discuss patterns, making abstract concepts more concrete.

National Curriculum Attainment TargetsKS2: Mathematics - Number and Place Value
15–45 minPairs → Whole Class3 activities

Activity 01

Stations Rotation45 min · Small Groups

Stations Rotation: The Place Value Factory

Set up three stations: one for building numbers with base ten blocks, one for drawing part-whole models, and one for 'secret code' challenges using expanded form. Students rotate in small groups to represent the same three digit number in three different ways.

Predict the next three numbers in a sequence counting in 50s.

Facilitation TipDuring The Place Value Factory, ensure students are actively discussing their observations about how base ten blocks represent different values at each station.

What to look forProvide students with a card showing the start of a sequence, e.g., '200, 300, 400, __, __, __'. Ask them to write the next three numbers counting in 100s. Then, give them another sequence, e.g., '750, 700, 650, __, __, __', and ask for the next three numbers counting backwards in 50s.

RememberUnderstandApplyAnalyzeSelf-ManagementRelationship Skills
Generate Complete Lesson

Activity 02

Think-Pair-Share15 min · Pairs

Think-Pair-Share: The Zero Hero

Show students a number like 407 and ask what would happen if the zero disappeared. Pairs discuss why the zero is necessary and then present their 'defence of zero' to the class using place value counters.

Analyze how counting in 100s is similar to counting in 1s.

Facilitation TipDuring The Zero Hero, encourage pairs to use base ten blocks or drawings to visually represent the numbers before and after the zero is removed, reinforcing the concept of place value.

What to look forDisplay a number line from 0 to 1000 on the board. Ask students to come up and place a marker on the number line for every multiple of 50. Then, ask them to place another marker for every multiple of 100, discussing the patterns they observe.

UnderstandApplyAnalyzeSelf-AwarenessRelationship Skills
Generate Complete Lesson

Activity 03

Inquiry Circle30 min · Small Groups

Inquiry Circle: Number Scavenger Hunt

Provide groups with digit cards 0-9. Challenge them to find the largest, smallest, and closest number to 500 they can make, explaining their reasoning to another group using the language of hundreds, tens, and ones.

Explain why counting in 50s helps us understand larger numbers.

Facilitation TipDuring the Number Scavenger Hunt, prompt groups to explain their reasoning for selecting specific numbers based on the challenge, ensuring they articulate the role of place value.

What to look forPose the question: 'Imagine you are saving money and add £50 to your piggy bank every week. How would you figure out how much you have after 10 weeks? How is this similar to counting in 1s?' Encourage students to explain their strategies and use vocabulary like 'multiple' and 'sequence'.

AnalyzeEvaluateCreateSelf-ManagementSelf-Awareness
Generate Complete Lesson

Templates

Templates that pair with these Mathematics activities

Drop them into your lesson, edit them, and print or share.

A few notes on teaching this unit

Focus on the multiplicative nature of the place value system, moving beyond rote memorization. Use concrete manipulatives and visual aids to help students grasp that a digit's value depends on its position. Encourage students to verbalize their thinking, using precise mathematical language like 'hundreds,' 'tens,' and 'multiples.'

Students will be able to fluently count forwards and backwards in multiples of 50 and 100. They will demonstrate an understanding of how the value of a digit changes based on its place in a number, and confidently partition three-digit numbers.

Watch Out for These Misconceptions

  • During The Place Value Factory, watch for students who write numbers like 'one hundred and five' as 1005.

    Redirect students to use the base ten blocks at the station to physically build 105, showing only one hundred block and five unit blocks, contrasting this with the many blocks needed to represent 1005.

  • During The Zero Hero, watch for students who believe that the digit with the highest face value is always the largest number.

    Ask students to use the number cards from The Zero Hero activity to build numbers like 92 and 112, then have them compare these using base ten blocks to demonstrate that the number of hundreds (place value) is more significant than the face value of the digit.

Methods used in this brief

More in Place Value and the Power of Three Digits

Hundreds, Tens, and Ones

Decomposing numbers into their constituent parts to understand how the base ten system scales.

2 methodologies

Representing Numbers to 1000

Students use concrete materials, pictorial representations, and abstract numerals to show numbers up to 1000.

2 methodologies

Number Lines and Estimation

Developing a mental map of where numbers sit in relation to multiples of 10 and 100.

2 methodologies

Comparing and Ordering Magnitude

Using inequality symbols to describe relationships between large quantities.

2 methodologies

Finding 1, 10, or 100 More/Less

Students practice adding and subtracting 1, 10, or 100 to/from any given number up to 1000.

2 methodologies