Something to Think About. What are good activities for helping students to learn their basic facts?. Secondary Numeracy Project. Fraction, Decimal, Percents. Fraction Constructs. Fractions are needed when whole units are inadequate to get a job done. Part-Whole: continuous & discrete.
9: Write one half as a fraction.
10: Write one sixth as a fraction
11: Write one third as a fraction
12: Write one quarter as a fraction
13: Which of these fractions is the smallest?
14: Which of these fractions is the largest?
15: Which of these numbers is the same as eight-sixths?
16: Which of these fractions is the same as two-thirds?
17: Which of these fractions is the same as three-quarters?
18: Which of these fractions is the smallest? (10 sec)
19: Which of these fractions is the largest? (10 sec)
This cake has been cut into thirds. Here are twelve jellybeans to spread out evenly on top of the cake. You eat one third of the cake. How many jellybeans do you eat?
Use a concrete representation (Materials/Diagrams)
Encourage imaging and visualisation (Imaging)
Push to the inherent property and generalisation (Abstraction)
How can we use this with fractions?
48 = 3 x 16
64 = 4 x 16
Remember the long term goal – improving their algebraic thinking:
One thing you can do to help this every day is to ask questions in class:
Create a brief outline for a lesson that gets students to learn without being taught an algorithm
1) Pick one stage of the progression
2) Think of as many relevant fraction based activities as possible for that stage