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By K5 Team
posted Feb 15 2017 - 1:58pm

FactorizingIn an earlier blog post, we talked about what prime factorization is and how to use a factor tree to factor numbers to their prime factors.

What if the number you are finding the prime factorization of is a larger number? The factor tree can become quite cumbersome.

Using upside-down division

Another easy way of keeping track of the factorization is to do upside-down division.

Here’s how it works. Let’s start with a smaller number first – say 36.

By K5 Team
posted Feb 1 2017 - 2:29pm

Point of ViewWriting in first, second and third person means you can present different perspectives or different points of view. But what is the difference between these three forms? It can be a bit confusing, so let us straighten them out.

First Person

The singular form of the first person is ‘I’ and the plural form is ‘we’.  You use these two pronouns when you refer to yourself or yourself with others. Often the first person point of view is used in autobiographies or memoirs. This is when the author talks primarily about herself or himself.

By K5 Team
posted Jan 25 2017 - 12:24pm

Conjugating verbsVerb conjugation refers to how a verb changes. Conjugated verbs are verbs which have been changed to communicate one or more of the following: person, number, gender, tense, aspect, mood, or voice.

Different person

In English, we have 6 different persons : first person singular (I), second person singular (you), third person singular (he/she/it/one), first person plural (we), second person plural (you) and third person plural (they). We must conjugate a verb for each person.


By K5 Team
posted Jan 18 2017 - 11:47am

fragmented sentencesWhen is a sentence not a complete sentence? What makes a sentence whole? To understand that, we need to look at what makes a sentence fragmented.



A fragmented sentence is a group of words that look like a sentence, but isn’t. For a group of words to be a sentence it needs to have at least one independent clause. An independent clause is any group of words that contain a subject and a verb and can stand on its own.

By K5 Team
posted Jan 11 2017 - 11:13am

An equation has two expressions, separated by an equal sign:

(expression)  =  (expression)

In any operation, the two expressions will remain equal.

linear equationsTo solve an equation we can:

-    Add the same quantity to both sides
-    Subtract the same quantity from both sides

-    Multiply both sides by the same number
-    Divide both sides by the same number

By K5 Team
posted Jan 5 2017 - 3:55pm

conjunctionsConjunctions help us maintain a strong flow in written and verbal communication.

Used correctly, conjunctions help create better sentences; they create a natural flow and rhythm to your speech or writing.  Using them incorrectly, results in disjointed or incoherent communication. So it’s important your kids learn how to use conjunctions and which conjunction to use.

By K5 Team
posted Dec 30 2016 - 3:33pm

We are proud supporters of Kiva, the micro-finance lending company that lets individuals lend money to entrepreneurs in developing countries around the world. These entrepreneurs are often women whose children’s education depends on the success of their tiny businesses.  82% of the loans are to women, and over 98% of the loans are fully repaid by the borrower.  The loans take place through a worldwide network of micro-finance institutions, helping people that don’t have access to the traditional banking system.


We believe so strongly in this organization and its power to change people’s lives that we have created a Kiva Group that you can join from this page.  On this page we also tell you about our first loan to Narcisa in the Philippines.

By K5 Team
posted Dec 21 2016 - 10:58am

Here’s a tiny sampling of the many wonderful books published during 2016 that are in the running for major awards in January.

All saw a catWolf Hollow

Told from the point of view of Annabelle, almost twelve, WOLF HOLLOW by Lauren Wolk gives readers a chilling glimpse into that unsettled time when the threat of Hitler hung over the whole world. Although she’s aware of the strength and character of each member of her multi-generational, Pennsylvania farm family, Annabelle senses that it’s up to her to deal with the new girl who says she might “use a rock” on Annabelle’s younger brother.  Betty seems as wild and dangerous as the poisonous snake killed by Annabelle’s grandfather. It doesn’t take long for Betty to target Toby, a damaged veteran who wanders the wooded hills and hollows as if seeking peace. This powerful novel can be shared and discussed with mature fourth through eighth graders.

By K5 Team
posted Dec 18 2016 - 3:12pm

We have added a new feature to our online lessons that will improve learning outcomes for students.  Students completing an online lesson will now be presented with a set of correlated worksheets.  These printable worksheets provide extra practice and greater depth in the subject matter of the lesson the student just completed.

At the bottom of the student home page your child will now see a set of recommended worksheets: 


custom worksheets

By K5 Team
posted Dec 12 2016 - 11:10am

sound chartWhile phonics is the skill of knowing the sounds made by letters in the alphabet, phonemic awareness is the skill of identifying sounds and where they are located - at the beginning, middle or end of a word.

Listeners should be able to hear, identify and manipulate phonemes, the smallest units of sound that can differentiate meaning. Separating the spoken word "cat" into three distinct phonemes, /k/, /æ/, and /t/, requires phonemic awareness.

Phonemic awareness activities in pre-school and kindergarten focus on simple tasks such as rhyming, matching words with beginning sounds, and blending sounds into words. Later, students move onto the addition, subtraction and substitution of phonemes to learn how words change.