IntoMath Grade 6 Lessons

In this lesson you will learn and practice a very important skill of dividing decimals using long division. For example, dividing 2.34 by 2 or 34.5 by 0.4. It is important to understand the place value well and how it affects the final answer. Sometimes it makes sense to convert a decimal into a fraction to perform division. 0.2 is the same as 2/10 84 divided by 0.2 is the same as 84 multiplied by 10/2, which results in 420. You will also learn how decimals are related to unit conversions (between systems and within each system – metric, imperial, etc). We focus on converting metric units of length and mass – cm to m, kg to g and so on. For example, 1000 grams is equal to 1 kilogram, thus 0.001 kilogram is the same as 1 gram. More free math help and activities: intomath.org

In this lesson you will learn more about decimals. You will practice how to determine the place value of the digits within the decimal and why it is important to understand the place value of each digit when converting decimals to percent. For example, does 0.1 represent 10% or 1%? Why? You would need to multiply 0.1 by 100 to find the percent equivalent of this decimal, which results in 10%. It is easy to multiply any decimal by 100, since all you have to do is just move a decimal point 2 digits to the right of the original position. More free math help and activities: intomath.org

Percent is a concept that is widely used in everyday life in a variety of situations. “30% Discount”, “Yes, definitely, 100%” – are just some of the expressions that we encounter frequently. It is important to understand what the above means and how it can be useful. A percent is a number out of a 100. The term “percent” is derived from the Latin per centum, meaning “by the hundred”. In Ancient Rome, before the decimal system was invented, computations were often made in fractions which were multiples of 1/100 (or 0.01 if recorded as a decimal). Thus, computation with these fractions was the same as computing percentages. More free math help and activities here: intomath.org

In this lesson you will learn and practice how to multiply any number by a double-digit number vertically. For example, how to multiply 142 by 32. You will also learn how to divide any number by a double-digit number using long division. For example, how to divide 345 by 21. It is important to understand why place value of each digit within each number is important and why it is crucial to follow a certain form when performing operations in order to get the right answer. In this lesson you will also discover division with a remainder. More free math help and activities: intomath.org

In this lesson you will learn about the concept of a fraction and comparing fractions with unlike denominators. A fraction is a part of a whole. A fraction has two components. The number on the top of the line is called the numerator. It tells how many equal parts of the whole are given. The number at the bottom of the fraction line (bar) is called the denominator. The denominator represents the total number of parts that make up a whole. You will practice how to compare fractions with different denominators and why, in order to do that, you need to bring them to the Lowest Common Denominator (LCD). To find the LCD you would need to find a number that is evenly divisible by the denominators of the fractions you are comparing. But remember, when the denominator changes, the numerator changes with it. More free math help and activities here: intomath.org

Numbers can be broken down into smaller numbers or themselves and 1. In this lesson we are learning about prime factors, how to determine them and why we need them. Prime factors are numbers that cannot be split further into other whole numbers, other than themselves and 1. Factors in general are numbers that the given number can be divided by. Or whole numbers that are multiplied together to produce another number. The original numbers are factors of the product. If a x b = c then a and b are factors of c. For example, the factors of 8 are 1, 8, 2, 4. In this lesson we are also discussing the concept of the Greatest Common Factor for the given two numbers. The GCF is the largest number the two given numbers could be divided by. The Least Common Multiple is the smallest number that could be divided by the given two numbers. More free math help and activities here: intomath.org

We have already learnt about Natural numbers in our grade 5 lessons. Now we are moving on to working with much larger numbers. Sometimes we need to use really large numbers when measuring distances or calculating weight of a big object. What if we wanted to calculate the distance around the Earth? One million (1000,000) is a very large number. In this lesson you will learn and practice how to add and subtract numbers up to 1000,000, as well as how to multiply and divide them using a variety of strategies and methods (breaking the number down by place value of its digits, vertical multiplication, long division). For example, you will see how breaking the large numbers down by place value of the digits in each number helps to quickly add and subtract the two numbers. In 234,560 + 345,678, add 200,000 and 300,000, then 30,000 + 40,000 and so on.. More free math help and activities here: intomath.rog