In this Grade 4 Saxon Math lesson, students memorize the ten remaining multiplication facts known as the memory group, including facts such as 3×7=21, 4×8=32, and 7×8=56. The lesson also extends students' fluency to multiples of 10, 11, and 12 by identifying numerical patterns in each times table. Part of Chapter 4 in Saxon Math Intermediate 4, this lesson builds toward complete recall of all single-digit multiplication facts through timed practice and real-world application problems.
Section 1
📘 Multiplication Facts (Memory Group)
There are only ten multiplication facts from through that we have not practiced. We call these facts the memory group.
Next, you’ll use brainstorming and timed practice to master these facts, along with the multiplication tables for 10s, 11s, and 12s.
Section 2
Memory group
There are only ten multiplication facts from through that we have not practiced. We call these facts the memory group. Mastering this special set of ten facts, including pairs like and , is crucial for building speed and confidence in all future math calculations.
Some key facts from this group include: . Another tricky one to remember is . The largest fact in the memory group is .
Think of these ten facts as the 'final bosses' of basic multiplication! You have already conquered the easier combinations. Memorizing this unique group will elevate you to a math champion, fully prepared for any multiplication problem that comes your way. Knowing them by heart makes everything from division to fractions much simpler down the road.
Section 3
Tens
The multiples of 10 follow a simple and predictable pattern that makes them very easy to remember and work with. The sequence of multiples is 10, 20, 30, 40, 50, and so on. This pattern is one of the foundational concepts for understanding place value and larger number operations in mathematics going forward.
To find the product of , you just add a zero to the 8 to get 80. For a larger number like 11, the same rule applies: becomes 110.
Multiplying by ten is like giving a number a superpower that adds a zero at the end! Just take any whole number you are multiplying by ten and simply attach a zero to it. This straightforward trick works every single time, making it one of the easiest and most satisfying multiplication rules to apply.
Section 4
Elevens
Like the tens, the multiples of 11 also follow a distinct pattern, especially with single-digit numbers. The sequence includes 11, 22, 33, 44, 55, and continues with this predictable progression. Recognizing this unique pattern is extremely helpful for quick mental calculations and for checking your work when multiplying larger, more complex numbers in problems.
For a single digit like 7, the product is its double: . A classic fact everyone should know by heart is . For the next one, , the product is 132.
Multiplying a single-digit number by eleven is like creating a clone of that digit! Just repeat the digit twice to get your answer. This makes multiplying by eleven feel more like a fun magic trick than a math problem. For two-digit numbers, the patterns are just as cool and easy to learn with practice.
Section 5
Twelves
The multiples of 12 also have helpful patterns that make them easier to memorize over time. The sequence starts with 12, 24, 36, 48, 60, and so on. Since twelve is a key number in telling time and in standard measurements, knowing these facts is incredibly useful for solving many different types of real-world problems.
To calculate , think of it as , which equals . Using the same trick for , we get . The most famous fact is twelve squared: .
Mastering the twelves multiplication table is a serious power move in math! A clever way to handle it is to think of it as multiplying by ten and then adding two more groups of the number. This strategy breaks down a bigger problem into two smaller, much more manageable steps, making it easier to solve.
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Section 1
📘 Multiplication Facts (Memory Group)
There are only ten multiplication facts from through that we have not practiced. We call these facts the memory group.
Next, you’ll use brainstorming and timed practice to master these facts, along with the multiplication tables for 10s, 11s, and 12s.
Section 2
Memory group
There are only ten multiplication facts from through that we have not practiced. We call these facts the memory group. Mastering this special set of ten facts, including pairs like and , is crucial for building speed and confidence in all future math calculations.
Some key facts from this group include: . Another tricky one to remember is . The largest fact in the memory group is .
Think of these ten facts as the 'final bosses' of basic multiplication! You have already conquered the easier combinations. Memorizing this unique group will elevate you to a math champion, fully prepared for any multiplication problem that comes your way. Knowing them by heart makes everything from division to fractions much simpler down the road.
Section 3
Tens
The multiples of 10 follow a simple and predictable pattern that makes them very easy to remember and work with. The sequence of multiples is 10, 20, 30, 40, 50, and so on. This pattern is one of the foundational concepts for understanding place value and larger number operations in mathematics going forward.
To find the product of , you just add a zero to the 8 to get 80. For a larger number like 11, the same rule applies: becomes 110.
Multiplying by ten is like giving a number a superpower that adds a zero at the end! Just take any whole number you are multiplying by ten and simply attach a zero to it. This straightforward trick works every single time, making it one of the easiest and most satisfying multiplication rules to apply.
Section 4
Elevens
Like the tens, the multiples of 11 also follow a distinct pattern, especially with single-digit numbers. The sequence includes 11, 22, 33, 44, 55, and continues with this predictable progression. Recognizing this unique pattern is extremely helpful for quick mental calculations and for checking your work when multiplying larger, more complex numbers in problems.
For a single digit like 7, the product is its double: . A classic fact everyone should know by heart is . For the next one, , the product is 132.
Multiplying a single-digit number by eleven is like creating a clone of that digit! Just repeat the digit twice to get your answer. This makes multiplying by eleven feel more like a fun magic trick than a math problem. For two-digit numbers, the patterns are just as cool and easy to learn with practice.
Section 5
Twelves
The multiples of 12 also have helpful patterns that make them easier to memorize over time. The sequence starts with 12, 24, 36, 48, 60, and so on. Since twelve is a key number in telling time and in standard measurements, knowing these facts is incredibly useful for solving many different types of real-world problems.
To calculate , think of it as , which equals . Using the same trick for , we get . The most famous fact is twelve squared: .
Mastering the twelves multiplication table is a serious power move in math! A clever way to handle it is to think of it as multiplying by ten and then adding two more groups of the number. This strategy breaks down a bigger problem into two smaller, much more manageable steps, making it easier to solve.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter