Fractions

Fraction Representation Practice Pages

numeracylabcoq Activities , 0 Comment

These pages pair nicely with the Math Antics video series on fractions.

Click here for video 1 (fractions are parts). This is a very good video, although they do not give a name to the top and bottom of the fraction. Our practice pages introduce these names and provide practice of naming and drawing in circles, rectangles, and sets:

Representing fractions on a number line. This is key to helping your child(ren) understand the information that fractions provide: the numerator is for counting and the denominator is for dividing.

 

Modelling Fraction Multiplication and Division

numeracylabcoq Activities , 0 Comment

We use an array or area model to show how fraction multiplication works!

For dividing fractions, we are using a circle model and sticking with simple fractions:

Fractions (Middle School)

numeracylabcoq Activities , 0 Comment

Assessment: This is a nice little low-floor, high ceiling assessment of a students familiarity with fractions in various real-life situations.  Click here for the video link, student printout, and explanation.

Fraction Estimation (gr. 3-5)

  • Click here for engaging fraction estimation tasks and videos
  • Click here for Number Line Battleship (a free and engaging online game by Brain Pop. No advertising!)

Fraction Counting Using a Clothesline (gr. 3-5)

Fraction Equivalency Tasks (grade 5-6)

Modeling Fractions Using Real Materials: The second is a video that provides teaching and practice of fractions using real materials. Simplifying fractions using equivalent fractions in lowest terms are also discussed: Click here!

Comparing Fractions by Drawing and Checking: 

Improper Fractions: Is there ever a situation where the numerator is greater than the denominator? Time to do some exploring.

Mixed Numbers: What to do with those improper fractions! Is there another way we might represent them so that they are easier for us to make sense of? Of course. Time for mixed numbers.

Modelling Operations with Fractions: This is for grade 8.

  • Click here for modelling fraction multiplication and division.
  • Click here for modelling fraction addition and subtraction using number lines. Click here for the word document.

Fractions to Decimals

numeracylabcoq Activities , , 0 Comment

Common Fraction and Decimal Conversions: It is extremely handy to know the basic conversions. It will save you a bunch of time and allow for you to make more connections to help your math understanding in later grades.

Exploring Common Fraction-Decimal Conversions: There are some interesting patterns that emerge when you sort common decimal conversions. Why do some decimals behave the way they do? Can you use these to predict other conversions?

Extending Common Fraction-Decimal Conversions: Now that you have spent all this time memorizing and exploring these common relationships, let’s extend them! If you know 1/4 = 0.25, can you figure out the decimal conversion of  3/4? Sure! The following activity encourages counting fractions, multiplying, and simplifying to quickly convert fractions with numerators greater than 1.

Common Fractions to Percentages: Knowing these common conversions is proving useful!

Fractions: Grade 3-5

numeracylabcoq Activities, Content , 0 Comment

In grades 3, 4, and 5, we are building the foundation for these complex portions. Here are three key skills and routines you can use to make sure these foundations are strong and resilient:

Counting: Numerators are for counting. Denominators are for understanding the size of the portions. Using number lines, you can demonstrate how numerators help us track how many portions. The way the space on the number line is shared (how it is portioned) is determined by the denominator.

  • Click here for number line printouts…note that this is in development! I will simplify soon
  • Click here for Number Line Battleship (a free and engaging online game by Brain Pop. No advertising!)

Estimating: Adult estimate fractional portions all of the time. We see amounts and are able to determine and communicate portions by estimating. For example, you often hear adults say things like, “I have finished about 3/4 of my work” or “I ate about 2/3 of my meal”. We know these kinds of portions inherently. How do you allow student to develop this kind of innate sense?

  • Click here for engaging fraction estimation tasks and videos

Modelling: Playing with manipulatives and creating representation of portions using drawings is another way students develop this conceptual foundation.

  • Click here for fraction representation practice pages.
  • Click here for video-led tasks for equivalent fractions.
  • Click here for equivalent fractions practice tasks.

Fraction Equivalency Videos

numeracylabcoq Activities, Content , , 0 Comment

Just a start!  Lego is a great material for modelling fractions. Just as good as cuisenaire rods.  And…I have lots of it (and hopefully you do too)!

LEGO Fraction Exploration: A great warm up before you dive into exploring equivalency.  It is helpful to know how to identify fractional (a.k.a. proportional) relationships.  If your child struggles with the drawing part, try using graph paper.  If you don’t have any, try using some free printable paper.

Exploring Equivalency 1: This is a nice, simple start exploring fractions that are equivalent to 1/2.  I would get out the math journals for the drawing and describing bit.  A nice follow up would be to have students build two structures out of lego (or even build in Minecraft) to show 1/2 in different (but equivalent ways).

Exploring Equivalency 2: Exploring fractions that are equivalent to 1/4 and 3/4

Exploring Equivalency 3: Exploring fractions that are equivalent to 1/3 and 2/3

Exploring Equivalency 4:  Exploring fractions that are equivalent to 1/5 and 3/5

Skip to toolbar