Fractions - what they need to know and when in Ontario
The following chart was designed to give you some idea of what your child should know at the end of each grade, in regards to fractions. This chart is based on the Ontario curriculum.
Concrete
|
Pictorial
|
Symbolic
|
|
Grade
1
|
a)Halves
–
That
fractions are of equal size
|
||
Grade
2
|
a)
Compare proper fractions
b)
Represent ½, 1/3, ¼ as part of a whole
c)
Compare two proper fractions using concrete materials
|
a)
Compare proper fractions
b)
Represent ½, 1/3, ¼ as part of a whole
c)
Compare two proper fractions using concrete materials
|
|
Grade
3
|
a)Represent
common fractions and mixed numbers
|
a)Represent
common fractions and mixed numbers
|
a)
represent common fractions and mixed numbers
|
Grade
4
|
a)
Represent, compare, and order mixed numbers, proper and improper fractions
with like denominators
b)Connect
proper fractions with decimals
|
a)
Represent, compare, and order mixed numbers, proper and improper fractions
with like denominators
b)Connect
proper fractions with decimals
|
a)
Represent, compare, and order mixed numbers, proper and improper fractions
with like denominators
b)Connect
proper fractions with decimals
|
Grade
5
|
a)
Equivalence of proper fractions
b)
Relate a fraction with a denominator of 10 or 100 to a decimal
c)
Represent and compare mixed numbers, proper and improper fractions with
simple denominators
d)
explore the relationships between fractions and decimals
|
a)
Equivalence of proper fractions
b)
Relate a fraction with a denominator of 10 or 100 to a decimal
c)
Represent and compare mixed numbers, proper and improper fractions with
simple denominators
d)
explore the relationships between fractions and decimals
|
a)
order fractions on a number line
b)
relate division to fractions – 16 divided by 3 is 5 1/3
c)
select and perform computation techniques appropriate to specific problems
involving whole numbers, decimals, and equivalent fractions
|
Grade
6
|
a)Relate
fractions to decimals, %s, rates and ratios
b)
Compare and order mixed numbers and improper fractions, with unlike
denominators
c)Explore
the relationships between fractions, decimals, and simple %s
|
a)
Relate fractions to decimals, %, rates and ratios
b)
Compare and order mixed numbers and improper fractions, with unlike
denominators
c)
Explore the relationships between fractions, decimals, and simple %s
|
a)
select and perform computation techniques appropriate to specific problems
involving unlike denominators
b)
explain processes and solutions with fractions and decimals using
mathematical language
|
Grade
7
|
a)
Understand and explain operations with fractions, using manipulative
b)
Demonstrate an understanding of operations with fractions using manipulatives
|
a) Understand and explain operations with
fractions, using manipulative
b)
Demonstrate an understanding of operations with fractions using manipulatives
|
a)
Relate the repeated addition of fractions with simple denominators to the
multiplication of a fraction by a whole number ½ + ½ + ½ = 3 x ½
b)
add, subtract, multiply, divide fractions
|
Grade
8
|
a)Compare,
order and represent fractions, decimals
|
a)
Solve and explain multi-step problems involving fractions
b)
Add, subtract, multiply and divide simply fractions
c)
Apply BEDMAS in evaluating expressions
|
I did this chart years ago, for my personal business of Bev's Learning Center. I created to help parents understand exactly what their children needed to know when.
April 24, 2013 ***
I was online checking out educational sites - primary - junior level and found Math and more practice site. It seemed a little dull - boring at the beginning, but when I got into it, it was really quite good. Each practice level is a nice length - about ten questions. There are other subjects on this site. The grammar site is good, but becomes almost a lesson verses review and practice. The questions themselves take a little to long, and lost my interest quickly. It would have been nice if I could have just gone to the question and not listened to the whole thing. It it fine if you are using it to teach the concept, but like I mentioned to drawn out if it is for review.
The next site I just love *****
This site is a fantasy review and practice for the math facts. One of the reasons it is so good, is because it focuses only on the math facts and is not trying to be everything to everyone. Timez attack is fantasy. This is a game layout for the practice. The students can not go onto the next level until they get 100% on the level they are on. They repeat only the questions they are having trouble with. When they reach the end of the level they have to do all the questions. This site has all four basic math facts on it. You can either download the basic game or buy or rent the deluxe version. The only real difference is the graphics. I love this site and my students and I can not say enough about it.
Addition Games *****
Do you need different ways to practice those addition facts? This book is full of card games for doing just that. All you will need is a deck of cards for the majority of the games and if you need anything else, the materials are things you would find around your home. addition card games I am little prejudice on this one, due to the fact that I am the author. All of the games are well tested, and some of them have been developed with the help an eight year old - he fixed what he thought I was doing wrong - it made the game even better.
May 28th, 2013 *****
I keep forgetting this web site - I don't know why since it is great for worksheets and drill Dad's worksheets. Try it out. It is simply as the title implies - worksheets, lots of different levels of difficulty and four different worksheets at each level.
