What is a fraction? Explain it.
A fraction is a part of a whole or a small piece of the whole.
Joe eats 1/4 of a granola bar. Sara eats 3/4 of a granola bar. Who eats the most? Prove your answer with a model.
Sara eats more. Students should show two bar models, equally partitioned and shaded.
Without using a personal white board, what fraction is equal to 2/4?
1/2
Draw a number line that shows thirds. Put a plot point at 1/3 and label it.
Students will need to draw the line, equally partition it and put a line at the first hash mark.
Compare these two fractions. Tell which fraction is greater than, less than or equal to the other.
2/4 1/3
2/4 is greater than 1/3
What does it mean to partition?
Partitioning is when you divide or split up a whole into equal parts.
What is this fractional unit shown here?
What fraction is represented by the plot ploint?
Fourths and 1/4
True or false: The fractions 3/4 and 6/8 are equivalent
Draw a model to prove your answer before answering.
What are three things you know about this number line without any other numbers or fractions added?
|______|_______|_______|_______|______|_____|
0 2
1. It is a line from 0-2
2. It is partitioned into 3rds.
3. 1 is in the middle or the 4th hashmark.
4. 6/3 is above 2.
5. Other answers accepted if they are accuarte.
Solve this story problem.
Ms. Sutton's dog Luna ate 5/8 of the pizza off the table. The next night, Mrs. Powell's dog Bentley, ate 2/8 of the pizza. Was there any pizza left to eat? If so, how much? Tell how you got your answer.
Yes, there was 1/8 left.
Define the term Equivalent fraction.
Equivalent fractions are fractions that are the same size.
Place the following fraction on the number line: 5/3
__________________________________________
1 2 3
Students should partition the line into thirds. 5/3 will be just before the 2.
Which two fractions are equivalent to each other?
2/1 4/3 3/4 4/2
2/1= 2 wholes and 4 halves = 2 wholes
Place the following numbers and fractions on this number line. You may also draw it to help you.
|____________________|___________________|
3, 9/3 2 4 6/3 12/3
Observe student boards. Check to see if they partitioned it into 3rds and placed 2 at the start, 3 in the middle and 4 at the end with their fraction form above them.
Libby is arguing with Ashley. Libby has 2 chocolate bars and said she would give Ashley half of each bar. Ashley thinks this isn't fair! How can you explain to Ashley that this is fair and they will each get the same amount?
Take acceptable responses. Look for them to use a model to explain their thinking.
1/2 + 1/2 is one whole bar. They would each still get 1 bar.
What is fraction form?
When you write a fraction using numbers. For example one fourth is 1/4.
Silas says that he has 8/3 of a chocolate bar. Alex says that is impossible? Who is correct? Show your work.
Students need to draw 3 whole bars, partition them into 3 equal parts and then shade in 8 pieces leaving one unshaded. Silas is correct.
Use models to determine which fractions are equivalent to each other.
3/6 2/3 2/4 1/2
3/3, 2/4 and 1/2 are all equivalent
Which whole numbers would you use on a fraction line if you were to plot the following fractions:
8/4 10/4 12/4 14/4 16/4
Put the following fractions in order from greatest to smallest.
2/1 5/4 3/2 4/4 6/4
4/4, 5/4, 3/2, 6/4, 2/1
What is a fractional unit?
A fractional unit refers to one part of the whole. For example, 1/4 is one unit out of four pieces.
1. Create multiple models that show the following fractions:
3/1, 5/6, 8/9
2. Write the fractions in order from least to greatest.
8/9, 5/6, 3/1
Draw your own number line and name 2 sets of fractions that are equivalent to each other. The fractions must be larger than 1, but smaller than 3. You can use any fractional unit you choose.
Check answers.
Create your own number line and plot the following fractions accurately:
6/2 12/4 3, 5, 18/4, 14/4
6/2 16/4 18/4
|__________________|____|_____|____|____|
3 4 5
Using three DIFFERENT models, show the following fraction:
6/8
Students can use a bar model, a number line, a circle or other model that is accurate.