Mastering Multiplication: Effective Strategies for Learning Times Tables

Introduction

Multiplication tables are a foundational element of mathematics, essential not only for academic success but also for everyday problem-solving. Understanding and memorizing these tables can significantly enhance mathematical fluency and confidence. This article explores various effective strategies and resources to help learners of all ages master their times tables.

The Importance of Times Tables

Multiplication tables are crucial for several reasons:

Foundation for Future Math: The multiplication tables keep on coming up in the next primary school years and even when you're at secondary school. They form the basis for calculations in more advanced mathematical concepts such as division, fractions, algebra, and beyond.
Everyday Applications: In your everyday life it is useful to know your times tables well so you can quickly work things out, for instance when you are buying or selling vegetables on the market. Quick mental calculations are often required in shopping, cooking, and various other daily tasks.
Problem-Solving Skills: A solid understanding of multiplication tables enhances problem-solving abilities, allowing for quicker and more accurate solutions.

Traditional Learning Methods

Repetition and Memorization

We’ve all heard that one of the best ways to learn the times tables is with repetition. Traditional rote learning, involving repeated recitation and memorization, is a common method. While it can be effective for some, it may not suit all learning styles. This method involves:

Chanting: Repeating the tables aloud in sequence. Step 1a: View, read aloud and repeat. To get familiar with the table.
Writing: Repeatedly writing out the tables.

The 5-Step Plan

Timestables.com developed an innovative five step plan to help pupils learn the times tables in an effective and efficient way. This method has been tested at several schools and is recommended by teachers.

Step 1a: View, read aloud and repeat. To get familiar with the table.
Step 1b: Fill in your times tables answers in sequence and check if you got them all right.
Step 2: Drag the correct answers to the questions.
Step 3: Fill in your answers for the mixed questions and check if you got them all right.
Step 4: Multiple choice questions will help you to improve by looking at the questions in a different way.
Step 5: Proof your knowledge and get the diploma.

When you finished the 5 steps you can play the memory game or exercise with the worksheet. Other way to train more are with the tempo test, the 1 minute test or to play the times tables games. We advise to exercise daily for 15 minutes for maximum result.

Read also: Easy Times Tables

Interactive and Engaging Techniques

Online Practice and Games

Practicing your tables online is really easy at Timestables.com. Online platforms like Timestables.com offer interactive games and exercises that make learning fun and engaging. The multiplication games are clear and simple so you can get started right away.

Speed Tests: Select one of the multiplication table you wish to practice from the list below and show what you can do on the speed test or printout great worksheets. These tests help improve recall speed and accuracy. Once you have got the hang of a number of tables you can select the speed test and choose the tables you want to practice getting quicker at.
Interactive Games: On the multiplication games page we now have an answer-dragging game and a table balloons game. Games such as matching, quizzes, and puzzles make learning enjoyable.
Adaptive Learning: Many tutors rely on our platform to support their math tutoring online and private tutoring services, thanks to its simple interface and adaptive practice features. Some platforms adjust the difficulty based on the learner's performance. Our educational software is compatible with modern e-learning platforms and is often used alongside online courses and math programs for kids to enhance instruction.

Hands-On Activities

Models such as arrays and equal groups are an easy way to help students visualize multiplication facts. Hands-on activities provide a tactile and visual way to understand multiplication. But, drawing models can get old fast. Candy is always a fun way to practice time tables but there are lots of other small objects you can also use (especially if you don’t want your students having a sugar crash mid-day).

Arrays: Using objects like counters, stickers, or even food items to create arrays that represent multiplication facts. Other fun objects that can be used to make arrays and equal groups models include stickers, tiny erasers, Goldfish crackers, and paperclips.
Skip Counting: Counting in multiples using fingers or a number line. Use methods like skip counting, adding and exercising daily for 15 minutes for a maximum long-term result.

Worksheet Activities

But, who said worksheets have to be boring? There are lots of fun ways to practice times tables with worksheets. Worksheets can be designed to be engaging and reinforce learning through various exercises.

Fill in the Blanks: Completing multiplication equations with missing factors or products. Step 1b: Fill in your times tables answers in sequence and check if you got them all right.
Matching Games: Matching multiplication problems with their correct answers.
Coloring Activities: Coloring grids or patterns based on multiplication facts.

Dice Games

For this game, you will give students a grid with any multiplication fact at the top of the page. For this activity, each student needs two dice. The two numbers rolled represent the two factors. Games are always a fun way to practice times tables. Dice games introduce an element of chance and excitement to learning multiplication facts.

Product Roll: A student rolls two dice and finds the sum of the numbers rolled. Then, they multiply the sum of the numbers rolled by the number at the top of the page. They find the product in the grid and cover it with a marker.
Factor Find: Rolling two dice and using the numbers as factors to find the product. The 2 times tables game only works with multiplication facts with 2. Roll two dice. Repeat the activity several times.

Relay Races

For a times tables relay race, draw a line down the middle of the whiteboard to divide it into two sections. On each side of the whiteboard, write multiplication and division facts (without the product/quotient). Make sure there are the same number of problems on each side of the board. Divide the class into two teams. Relay races promote teamwork and quick recall of multiplication facts.

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Team Challenge: Dividing the class into teams and having them race to solve multiplication problems on the board. When using a relay race in the classroom, it is a good idea to clear desks and chairs out of the way.

Trashketball

You are probably familiar with trashketball. Trashketball combines math practice with a fun physical activity.

Team Challenge: When using trashketball to practice times tables, I divide the class into a few teams. Each team is given a small whiteboard and a marker. At the end, teams crumple their paper into balls. Each team stands an even distance from a trashcan and throws their paper balls at the trashcan.

Scavenger Hunts

One of my favorite math task cards games is a scavenger hunt game. Scavenger hunts add an element of adventure to learning multiplication facts.

Card Placement: For this game, place your task cards at different locations around the room. It is up to you to decide whether the cards are placed out in the open or hidden. Each student will draw a number. Then, they must find the task card with the same number. When they find the correct card, they should write the response to the question on their task card recording sheet.

Task Cards

As I previously mentioned, I love finding ways to cover more than one math skill at the same time. Task cards can be designed to cover various skills related to multiplication.

Coordinate Grid: For this multiplication tables game, students will play in pairs. One player will roll the two dice. The first number rolled represents the number along the bottom of the grid (see the image below). The second number rolled represents the number along the left-hand side of the grid. Students will use these coordinates to locate problems within the grid to solve. If they solve correctly, they get to place their marker over the space. Players take turns.

Strategies for Mastering Times Tables

Start with the Easier Tables

How can I learn my times tables fast? Start with the easy times tables like 10, 2, and 5. Begin with the simpler tables to build confidence and a foundation. The 1 times table, 2 times table, 3 times table, 4 times table, 5 times table and 10 times table are the first times tables to be learned.

1, 2, 5, and 10 Times Tables: These are generally easier to learn due to their straightforward patterns. For a start, numbers in the 10 times table always end in a 0.
Build Upwards: Once these are mastered, move on to more challenging tables like 3, 4, 6, and so on. The 6 times table, 7 times table, 8 times table, 9 times table, 11 times table, 12 times table and of course all the tables in random order are the next step.

Understand the Patterns

Look for patterns within each times table to aid memorization.

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Even Numbers: Numbers in the 2 times table are always even.
Fives and Zeros: Numbers in the 5 times table end in 5 or 0.
Nines Trick: For the 9 times table, the digits of the product always add up to 9 (e.g., 9 x 3 = 27, and 2 + 7 = 9).

Use What You Know

What also often helps is to use the tables you know well for answering the sums in the more difficult tables. Use known facts to figure out unknown ones.

Breaking Down Problems: One example of this is 6 x 7, which is often said to be tricky. If you do 5 x 7 first and then add 1 x 7 it is suddenly easier to answer. You can do this the other way round too. For instance with 4 x 7 you can do 5 x 7 first then subtract 1 x 7.
Commutative Property: Knowing that 3 x 4 is the same as 4 x 3 can halve the memorization load. Knowing that when you learn one times table fact, you actually gain two, is a lovely ‘secret’ I enjoy exploring with children when commutativity is first introduced. The array clearly shows that the product stays the same whether you multiply the number of rows by the number in each row (6 groups of 5 in the example) or multiply the number of columns by the number in each column (5 groups of 6 in the example).

Practice Regularly

Consistency is key to mastering times tables.

Daily Practice: We advise to exercise daily for 15 minutes for maximum result. Set aside a specific time each day for practice, even if it’s just for a few minutes.
Spaced Repetition: Reviewing tables at increasing intervals to reinforce memory.

Address Tricky Facts

Many of the times table online practice sites, can provide a ‘heat map’ of children’s scores for the different facts. Identify and focus on the multiplication facts that are most challenging.

Targeted Practice: Spend extra time on these facts using various methods until they become more familiar.
Visual Aids: Flashcards or charts displaying the trickiest facts can be helpful.

Understand Multiplication as Repeated Addition

Understanding multiplication as repeatedly adding equal groups is essential. Reinforce the concept that multiplication is repeated addition.

Equal Groups: Use visual aids to demonstrate how multiplication is the same as adding equal groups together.

Discuss Products

I love math activities that allow students to practice more than one skill at the same time. Discuss whether certain products would appear more often and why. For example, products of 12 or 14 will appear more often than a product of 2. Discuss patterns and relationships between numbers to deepen understanding.

Factor Pairs: Explore different factor pairs that result in the same product.

Practice Scaffolds

The idea of a practice scaffold is to rehearse a multiplication fact in multiple ways, to make connections between different models and language, and to build relational understanding. The starting point provided by the teacher could be the calculation. However, it doesn’t need to be. The rest of the scaffold is then completed by the pupils, who must make connections to various representations of the calculation. These provide opportunities for overlearning.

Multiple Representations: The array, drawn or built, is a visual area model. When creating the array, you are showing the space it covers. This is a link missed by many. The array also clearly shows the commutative nature of multiplication. The linear counting stick model shows that an equal group is being added each time, alongside repeated addition and the array model.
Independent Completion: Once the structure of how to complete them has been modelled and taught, they can be completed independently. The same practice scaffold can be used multiple times to either practice the same calculation - for this, vary the starting point - or for different calculations that you know are the tricky ones.

Contextualization

Interpreting the language of mathematics is often a stumbling point for children. Children regularly solve contextualised problems but here, they have to create the context themselves. This box allows children to do something we very rarely do, which is require them to contextualise the calculation.

Problem Creation: It could be in the form of a question with a solution (as in the example), a question to be solved or a statement.

Adapting Practice Scaffolds

Practice scaffolds can be altered, depending on the age and confidence level of the children.

Inverse Facts: You might want to include inverse facts, for example, so a box labelled ‘inverse’ or ‘fact family’ could be added. For older students, the language of factors could be included.

Overlearning

The practice scaffolds are designed as an overlearning task so need to be done repeatedly.

Addressing Common Challenges

Learning Difficulties

Not every child finds it easy to learn all the tables, so it is a good idea to keep on practicing them regularly after you learned them. Provide additional support and tailored strategies for learners who struggle.

Individualized Instruction: One-on-one tutoring or small group sessions to address specific needs.
Multisensory Learning: Incorporating visual, auditory, and kinesthetic methods to cater to different learning styles.

Boredom and Frustration

To constantly reinforce multiplication facts without students getting bored? Keep learning engaging and prevent frustration by varying activities and offering encouragement.

Gamification: We use gamification in learning to make math fun and motivating, encouraging students to stay engaged while they build confidence in their times tables. Turning practice into a game with rewards and challenges.
Positive Reinforcement: Praising effort and progress, not just perfect scores.

Time Constraints

Teachers are still time-poor, and we still have a very full curriculum. Integrate times tables practice into existing routines and activities.

Short Bursts: Breaking up practice into short, frequent sessions.
Real-World Connections: Highlighting the relevance of times tables in everyday situations.

The Year 4 Multiplication Tables Check

The Year 4 Multiplication Tables Check is one of those ‘hoops’ that our children must jump through and is purely about regurgitating a right answer. The Year 4 Multiplication Tables Check is one of those ‘hoops’ that our children must jump through and is purely about regurgitating a right answer. I do think it is very important for children to learn their times tables so that they can use and apply their learning.

Preparation: In Rachel Brown’s blog Put your school in the driving seat for the Year 4 Multiplication Tables Check | HFL Education, she provides great advice on how to teach times tables in preparation for the MTC.
Focus on Tricky Facts: I am going to drill down further and specifically look at those tricky facts. Many of the times table online practice sites, can provide a ‘heat map’ of children’s scores for the different facts. This means that you can pinpoint which facts are less secure.

Additional Tips and Tricks

Switching the Numbers Around

There are a few tricks which make it easier to learn the tables and continue to master them, such as putting the smallest number first, which makes it easier for many children to answer correctly. For example 4 x 9 is easier to work out than 9 x 4. Switching the multiplication sum around makes it easier to answer.

Understanding Relational Maths

I think we have a much better understanding of the need for relational understanding. Richard Skemp is a great advocate of teaching relational maths rather than instructional maths. In the first chapter, he provides arguments for both, and refers to the effect that assessments, tests, and exams, have on teachers’ decisions on how to teach. The vast majority of tests focus on getting the right answer and have a pass mark, so how the answer is achieved is not considered.

Timed Quizzes

Timed multiplication facts quizzes are staples in many upper elementary classrooms. Give each student a worksheet with a series of multiplication and/or division facts, like you always would for timed quizzes. But, instead of using a timer, use a fidget spinner.

Resources and Tools

Online Platforms

Timestables.com: At Timestables.com you can easily practice all of your tables. The arithmetic problems are clear and simple so you can immediately get started on practicing your tables.

Educational Materials

Workbooks: Multiplication workbooks with a variety of exercises and activities.
Flashcards: Simple and effective for quick recall practice.

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