Category Archives: Math Concepts

05-Understanding Percents To understand percents, we must first understand the meaning of the word.  Per means ‘for each’ and cent means ‘hundred’.  To figure out a percent, we must break it into a hundred pieces.  Let’s say you take a … Continue reading →

04-Solving Proportions Now that we know a proportion is simply a pair of equal ratios, solving for them is fairly easy.  Look back in the previous week at the ways we said to check if two ratios formed a proportion. … Continue reading →

03-Understanding Proportions Proportions are formed by two equal ratios.  Using the examples from the previous lessons, 45 pages:30 minutes would form a proportion with 1.5 pages:1 minute because they are equivalent ratios; 10 tigers:4 lions would form a proportion with … Continue reading →

02-Rates A unit rate is simply a ratio where the  second number in the comparison is one.  65 miles per hour, is a unit rate because it is 65 miles per one hour.   $2.50 per pound, is a unit … Continue reading →

01-Understanding Ratios A ratio is a comparison between the amount of two different things.  It is probably the concept we cover in sixth grade that is used the most throughout our lives.  Miles per hour, dollars per pound, etc. Study the picture … Continue reading →

09-Solving Equations with Fractions It wouldn’t hurt to review all the operations with fractions and solving simple equations before diving into this post. Add and Subtract,  Multiply,  Divide,  Solving Equations The concept for equations with fractions is the exact same.  The … Continue reading →

06-Dividing Fractions 07-Dividing Mixed Numbers The students will be spending a couple of days learning the concept of dividing with just fractions before we throw in the mixed numbers, but the idea is  the same, so to save some time, … Continue reading →

05-Multiply Mixed Numbers In my opinion, multiplying is the easiest operation to handle with fractions.  There’s 3 simple steps: 1. Multiply the Numerators 2. Multiply the Denominators 3. Simplifiy Here’s an example: Another way to think about multiplying by a … Continue reading →

03-Add and Subtract Mixed Numbers The only step added to this as compared to fractions (Add and Subtract Fractions) is converting the mixed number into its fraction.  Other than that, the steps are exactly the same.  The fraction form of … Continue reading →

02-Add and Subtract Fractions When adding or subtracting fractions with the same denominator, you simply add or subtract the numerators and keep the denominator.  Examples: If you have unlike denominators, then you need to find a common denominator.  If the … Continue reading →