1. Fractions are even parts of shapes & groups
Level 3 Module 5
Fractions & Shapes: Halves, Thirds, Fourths & Fifths

3. © Professor Pete's Classroom. All rights reserved.
Index
Think Bubble Mathematics: Level 3
Practice Set 1
© Professor Pete's Classroom. All rights reserved.

4. Think Bubble Math: Level 3 Overview
Module 1:
242731_TBM301_Addition _facts_Strategies_I.pptx
Module 2:
242735_TBM302_Addition _facts_Strategies_II.pptx
Module 3:
242741_TBM303_Addition _facts_Strategies_III.pptx
Module 4:
240501_TBM304_Hundreds _Tens_Ones_regrouping.pptx
Module 5:
241610_TBM305_Fractions _written_fold_shapes_NL.pptx
© Professor Pete's Classroom. All rights reserved.

5. Think Bubble Math Worksheets:
Many lessons are supported by corresponding worksheets
Purchasers:
Included in zip file for download
Members:
Access via profpete.com in TBM section
Some lessons recommend that students use hands-on materials
243504_TBM102_WS_Counting_on_back_1_2_3
© Professor Pete's Classroom. All rights reserved.

6. Navigating in Think Bubble Math on a Computer
Return to Index
Go to other slide:
Right-click screen, click “See All Slides”
Navigate forward & back: click right & left arrows
Start presentation:
Double-click file name or icon
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7. Using Think Bubble Math on a Tablet or Phone
Download free PowerPoint app in iTunes or Google Play:
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Android:
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You may find it helps to install Microsoft OneDrive, to save and find files
If you see a warning about “unsupported content”, you can safely ignore it
We include special fonts to improve the presentation’s appearance
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8. Navigating in Think Bubble Math on a Tablet or Phone
Start presentation:
click “play” button in top bar
Navigate to other slide:
rotate device to portrait, click slide thumbnail at bottom of screen
Navigate forward & back: swipe left & right
© Professor Pete's Classroom. All rights reserved.

9. Fractions: Identify, Read and Write
ACMNA058: Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole.
partitioning areas, lengths and collections to create halves, thirds, quarters and fifths, such as folding the same sized sheets of paper to illustrate different unit fractions and comparing the number of parts with their sizes
locating unit fractions on a number line
(c) Professor Pete's Classroom, All rights reserved.

10. Assumed Prior Knowledge
Students should already be able to:
Understand a fraction is a part of a whole
E.g. cutting an apple into quarters or fourths
(c) Professor Pete's Classroom, All rights reserved.

11. Introducing the Common Fraction
Paper folding
Fractions can be FUN! Hands on activities are the best way to explore fractions
When introducing fractions make the activities fun by allowing students to fold their own paper 1 4 1 4 1 4 1 4

12. Introducing the Common Fraction
Number lines
Have students draw their own number lines as this helps students visualize fractions in relation to whole numbers 1 4 — 2 4 — 3 4 — 1

13. Introducing the Common Fraction
Dividing shapes
Give students open ended questions about dividing shapes into fractions. This encourages students to think about the attributes of the shape as well as the fraction they are creating

14. Accompanying worksheet for Printing
Lesson 2, 3 and 4
Only duplicate once
This one sheet is used over the 3 lessons
241611_TBM305_T_Shapes
(c) Professor Pete's Classroom, All rights reserved.

15. Supporting Resources:
Resources at profpete.com
Gadgets Interactive Software
Teaching Strategies Working with Fractions
Introducing Fractions 2: Introducing Common Fraction
Introducing Fractions 2: Folding Half, Quarter & Fourth
Introducing Fractions 2: Folding Finding Third & Sixth
Introducing Fractions 2: Finding Fifth
Introducing Fractions 2: Number Line Half, Quarters & Fourths
Introducing Fractions 2: Number Line Thirds FREE
Introducing Fractions 2: Number Line Finding Fractions
Introducing Fractions 1: Introducing Quarter or Fourth
Introducing Fractions 1: Introducing Third
Introducing Fractions 1: Half, Quarter & Third
Introducing Fractions 1: Fraction of Set
Fractions Counter Gadget
Fractions Converter Gadget
(c) Professor Pete's Classroom, All rights reserved.

16. Lesson 1: Writing Fractions
ACMNA058
Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole
(c) Professor Pete's Classroom, All rights reserved.

17. Fractions have two numbers: a numerator and a denominator
Writing Fractions
Fractions have two numbers: a numerator and a denominator
Write the fraction
numerator - tells how many parts are shaded 3 4 —
denominator - tells how many equal parts make up the whole 3 4 __
parts shaded out of
These activities are straight forward as a counting and writing activity
Encourage students to take care with the vinculum. Slanted vinculums are often used by computers but a horizontal one is preferred as it allows for operations later.
This fraction can be named as three quarters or three fourths. Both are mathematically correct.
equal parts

18. 4 __ 6 Writing Fractions Write the fraction How many parts shaded?
How many parts altogether? 4 __ 1 6 2 5 6 4 3
Have students write the fraction shown

19. — Writing Fractions 3 5 — 2 4 — 3 4 5 8 — 2 3 —
Write the fraction shown for each of these shapes
Say each fraction 3 5 — 2 4 —
Remember: 3 4 —
parts shaded out of
equal parts 5 8 — 2 3 —
Count the parts shaded and the number of equal parts, write the fraction
Click to reveal the answers
This activity is designed to give students confidence in writing a fraction

20. Writing Fractions 4 — 3 5 — 1 3 — 2 6 —
Write the fraction shown for each of these shapes
Say each fraction 4 — 3 5 — 1 3 — 2 6 —
More activities follow that will focus on understanding the concept of accurately forming fractions

21. Writing Fractions 2 4 — 2 3 — 1 4 — 1 3 —
Write the fraction shown for each of these shapes
Say each fraction 2 4 — 2 3 — 1 4 — 1 3 —

22. Lesson 2: halves & quarters (fourths)
ACMNA058
Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole
(c) Professor Pete's Classroom, All rights reserved.

23. Finding a Half on a Number Line
The easiest fractions are halves and quarters or fourths
Draw 3 number lines of varying lengths just like these
Find a half on each of the number lines and mark it
Repeat with the other number lines 1 2 — 1 1 2 — 1 1 2 —
Have students put one finger from each hand on the 0 and 1, then slide their fingers towards each other at the same speed
Mark where they meet
Have students find halfway along the front edge of their desk 1

24. Finding a Half of a Shape
Draw a straight line to divide the shape into 2 equal pieces
Remember: to be a half both pieces have to be the same size 1 2
There are many different ways to draw half of a simple shape
Encourage students to think of less obvious solutions
If students are having difficulty, they can cut out the shape and then the halves to see if they match each other

25. Folding Halves and Quarters (Fourths)
Fold a half first then fold it in half again
Fold a piece of paper into halves
Then then fold it into quarters (fourths)
Find a half of a half! This makes four pieces.
Open it up and write the fraction in each rectangle 1 4 1 4 1 4 1 4
Give students pieces of paper and have them fold the sheet into a half, then half again. This is a quarter or fourth.
Write the fraction in each of the folded pieces
Challenge: Give students another sheet and ask them to fold quarters another way
Remember: all pieces have to be the same size 1 4

26. Finding Quarters (Fourths) on a Number Line
Draw 3 number lines of varying lengths just like these
Find a half and mark it
Then find a half of the half on both halves of the number line
Count the 4 hops – quarters. Are the hops even?
Write in the fractions
Repeat 1 4 — 2 4 — 3 4 — 1 1 4 — 2 4 — 3 4 — 1 1 4 — 2 4 — 3 4 —
Have students mark the halfway point with a short line
Find the midway point between the 0 and the halfway mark. Mark it but don’t write the fraction yet.
Find the midway point between the halfway mark and the 1
Mark the fractions 1

27. Identifying Fractions
Which of these shapes are divided in fourths or quarters?
Remember all parts must be equal!    
Students should note the size of each part
A fun way is to ask students think about it as if it were pieces of a cake
If there is a larger piece then the parts are not equal and the fractions cannot be determined easily
Point out that having 4 pieces in a shape does not necessarily show quarters

28. (c) Professor Pete's Classroom, 2017. All rights reserved.
Lesson 3: Thirds
ACMNA058
Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole
(c) Professor Pete's Classroom, All rights reserved.

29. We can model thirds by folding paper and dividing number lines
Folding a Third
Remember: all pieces have to be the same size 1 3
Fold a piece of paper into thirds
Fold one edge and slide it until the folded part looks the same size as the remaining page.
Take care with judging where the first fold should be made
Fold the right hand edge across the folded part so there are now two folds
Open it out and you have thirds
Fold the last edge across
We can model thirds by folding paper and dividing number lines
Give students a sheet of paper and have them fold the sheet into thirds as per the diagrams
Fold the thirds in the sheet. Students will need to eyeball the first fold
It may take practice getting the folds correct. Some students may need more than one sheet of paper.
midway point
1st fold
2nd fold

30. Finding Thirds on a Number Line
Draw 3 number lines of varying lengths just like these
Place your fingers on the 0 and 1 and slide them towards each other. When your fingers make 3 equal parts, mark the places
Write in the thirds 1 3 — 2 3 — 1 1 3 — 2 3 — 1 1 3 — 2 3 —
Have students put one finger from each hand on the 0 and 1, then slide fingers towards each other at the same speed
Students will need to eyeball when there are 3 even hops marked out by their fingers.
Have students practice finding thirds along the front edge of their desk 1

31. Finding Thirds on a Circle
Here are 2 different ways to help mark a third on a circle
Choose the one you prefer and shade one third of the circle
To find a third of a circle, think of a clock: find 10, 2 & 6 o’clock and connect them to the centre.
Or think of holding a steering wheel. Your hands and the bottom of the steering wheel divide it into thirds.
Finding a third of a circle this way is not an exact measure, so teacher discretion is needed to judge the level of accuracy
Have them find the drawing they think is the best, then shade one third

32. Identifying Fractions
Which of these shapes are divided into thirds?    
Students should note the size of each part
Point out that having 3 pieces in a shape does not necessarily show thirds
If there is a larger piece then the parts are not equal and the fractions cannot be determined easily

33. Identifying Fractions
Which of these shapes are divided into thirds?    
These are more challenging examples

34. Lesson 4: Introducing fifths
ACMNA058
Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole
(c) Professor Pete's Classroom, All rights reserved.

35. Compare Fifths and a Quarters
Compare the size of a fifth and a quarter or fourth
Which is smaller? Why? 1 4 — 1 5 —
Fifths are useful fractions; they are smaller than
fourths / quarters 1 4 — 2 4 — 3 4 — 1 1 5 — 2 5 — 3 5 — 4 5 — 1
To draw fifths, students need to know that a fifth is smaller than a quarter
Compare the sizes of the parts of shapes and the line segments
corner to corner

36. Finding Fifths on a Number Line
Don’t write this line, just hold your finger on the spot
Don’t write this line, just hold your finger on the spot
Draw 3 number lines of varying lengths just like these
Find a quarter by finding a half then a half of a half. Don’t write the fractions, just hold your finger on the spot.
Write in the first fifth 1 5 — 1 4 — 1 2 — 1
A fifth is smaller than a quarter so slide your finger to the left a little 1
Have students draw their own number lines. They may draw the ends with arrows and mark 0 and 1 at either end. Draw different lengths
Find the first quarter mark as per the instructions earlier, but as a fifth is smaller, move the finger to the left a little, making the hop smaller. Mark that. 1

37. Finding Fifths on a Number Line
4 more hops needed
There are 4 more hops needed to make up the 5 hops, so divide the remaining line into 4 equal hops
Mark each spot
Check that there are 5 hops
You may need to adjust your first fifth if the hops are not the same size
Draw fifths on the next 2 lines. You will need practice to get this right. 1 5 — 2 5 — 3 5 — 4 5 — 1 1 5 — 2 5 — 3 5 — 4 5 — 1 1 5 — 2 5 — 3 5 — 4 5 —
Find quarters of the remaining number line. This will give 5 equal hops, fifths. Mark and label them.
Fifths are difficult! Have students draw a smiley face next to the line that is divided into fifths the most accurately. 1

38. Finding Fifths on a Circle
Try different ways to mark fifths on a circle
Draw lines
Draw a smiley face next to the most accurate drawing of fifths
1. Draw a line from the top to the middle of the circle
2. Draw two lines splitting out from the middle. Just above the 7 and 5 on a clock
Finding a fifth of a circle this way is not an exact measure, so teacher discretion is needed to judge the level of accuracy
Have students mark the circle they think is most accurately divided into fifths
3. Find half of the larger pieces
4. Draw the lines

39. Folding Fifths
Find a quarter using the finger slide method along the edge of the paper.
Adjust your finger’s position to mark one fifth
Take care with judging where the first fold should be
A fifth is smaller than a quarter so move your finger slightly to the left
Fold the first fifth section here
Do not mark this point. Use your finger as a marker
Do not mark this point. Use your finger as a marker 1 4
Give students a sheet of paper and have them find where the one quarter mark is
Don’t let them mark it though, just hold the place with their finger
One fifth is smaller than a quarter so they will need to slide their finger slightly to the left
The first time they will find it a little difficult to judge how far to slide their finger
Have students mark it and fold the first fold 1 5

40. Folding Fifths
Once the first fifth is folded, how many fifths remain to be to created?
4 fifths
So fold the remaining piece into quarters,
fold a half…
and fold it again
Open it out and you should have five even parts: label them 1 5 1 5 1 5 1 5 1 5
Discuss with students why their first section may not be as accurate as the other four sections. Are they really fifths? (not really but they are close)
Allow students to practice with other sheets of paper. Can they get it more accurate?
Which one of the sheets folded is the best?
Discard the others and write fifths on the best one

41. Identifying Fractions
Which of these shapes are fifths?    
Some of these shapes do not have equal parts so compare the size of each part
If there is a larger piece then the parts are not equal and the fractions cannot be determined easily