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Addition by bridging through 100 up to 1000 - A Mental Strategy

Two worksheets of two-addend problems are solved by bridging through the nearest hundred in two steps, with a click-to-randomize teaching page and matching answer pages.
Year groups
Year 4
Pages
5
File type
PDF
Answer key
Included

Updated May 30, 2024

Subject
Addition, Addition and Subtraction, Maths
Topic
Maths, Addition
Resource types
Worksheets, Worksheets & Printables
Answer key
Included

From the author

About this resource

Bridging through 100s helps students in a number of  ways:

  • It makes addition with large numbers feel much easier because they are broken down into smaller numbers according to their place value and dealt with one step at a time.

  • It helps in the understanding of place value as students think about tens and ones separately.

  • It's excellent for developing mental maths skills 

  • It provides an alternative strategy to using the standard method or algorithm. 

You have a choice of four sets of worksheets.

The first set contains addition questions where the first and second addends are multiples of 10, so the focus here is on the bridging of a multiple of 100 in the simplest form.

The second set has the first addend a multiple of 10, whilst the second addend is a number between 11 and 99.

Both of the above sets have the questions laid out in a visual format that emphasizes the bridging through 100.

The third and fourth sets contain the same range of numbers for both addends as above. but now the worksheets are presented in a way that students can either continue with the visual format of the previous two sets  or choose how to present their workings  demonstrating their understanding of addition through bridging.

How many worksheets in each set ?
A standout feature is the worksheet randomization. With a single click, educators can generate an entirely new set of questions, making it a renewable resource for the entire school year. Be it for classwork, revision, or homework, adaptability ensures students achieve proficiency in the topic.

As these worksheets  need little explanation and no preparation, they are ideal if you need to leave work for a substitute teacher.

Answers found on the second page of every worksheet are automatically generated when you create a new worksheet.
Teaching Pages
These cover the visual format of the first two worksheets. They are ideal for a whole class activity as an introduction to the worksheets or as a means to review the topic later on if needed. Pupils can come to the Whiteboard and enter solutions and get immediate feedback.

Lastly, it's essential to note that these resources are compatible PDF documents. They operate seamlessly with the official Adobe Acrobat Reader on both Windows and Mac. Plus, the randomizing features are effortlessly accessible via touchscreen devices or interactive whiteboards.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Add a two- or three-digit number and a two-digit number by first bridging to the nearest hundred, then adding the remainder.

  • Use a number line as a visual model for representing each addition step.

Teaching tips

  • Introduce the strategy using the teaching page's number-line model and the guide's 3-step buttons before assigning the worksheets independently.

  • Use the randomize button to generate a fresh set of problems each time you reuse the file, since the file is designed to stay useful across the school year rather than being a single fixed worksheet.

  • Use the interactive whiteboard keypad entry for a whole-class introduction, then move to the printable worksheets for independent or homework practice.

Skills covered

  • Bridging through 100 — students add a first jump to reach the nearest hundred, then a second jump for the remainder, rather than using the standard algorithm.

  • Place value reasoning — the two-step structure requires thinking about tens and hundreds separately when deciding how much to add first.

  • Mental addition strategy — the method is explicitly framed as an alternative to standard-algorithm addition for numbers within 1000.

  • Self-checking practice — students can verify each worksheet's answers on its own matching answer page.

Good to know

Questions teachers ask about this resource

How does the bridging-through-100 method work?

Each problem is split into two steps: first add just enough to reach the next hundred, then add what's left of the second number. For example, 370 + 60 is shown as 370 to 400 (+30), then 400 to 430 (+30).

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Resource details

Concepts & topics

Core concepts

  • Bridging through 100

  • Mental addition strategy

  • Place value

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