1. Tenths are an Important Fraction
Level 4 Module 5
Introduction to Decimal Fractions: Tenths

3. © Professor Pete's Classroom. All rights reserved.
Index
Think Bubble Mathematics: Level 4
Module 5
© Professor Pete's Classroom. All rights reserved.

4. Think Bubble Math: Level 4 Overview
Module 1:
243731_TBM401_Mult_facts _Strategies_I.pptx
Module 2:
243736_TBM402_Mult_facts _Strategies_II.pptx
Module 3:
243741_TBM403_Mult_facts _Strategies_II.pptx
Module 4:
241710_TBM404_Fractions _equivalent.pptx
Module 5:
241801_TBM405_tenths.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
© Professor Pete's Classroom. All rights reserved.

7. Using Think Bubble Math on a Tablet or Phone
Download free PowerPoint app in iTunes or Google Play:
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Android:
Save Think Bubble file to your device
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If you see a warning about “unsupported content”, you can safely ignore it
We include special fonts to improve the presentation’s appearance
© Professor Pete's Classroom. All rights reserved.

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. (c) Professor Pete's Classroom, 2017. All rights reserved.
Tenths as Decimals
ACMNA079
Recognise that the place value system can be extended to tenths... Make connections between fractions and decimal notation
(c) Professor Pete's Classroom, All rights reserved.

10. Assumed Prior Knowledge
Students should already be able to:
Read and write common fractions
Fold paper into fractions
Divide shapes and shade parts to form common fractions
Locate common fractions on a number line
(c) Professor Pete's Classroom, All rights reserved.

11. Decimals - Tenths Decimals represented as:
Common fraction of a folded sheet
Parts of a shape
Counting on a number line
Location on a number line
Base ten blocks – fraction of a one block
Mixed numbers as a decimal number and its location on a number line

12. Accompanying worksheets for Printing
Lesson 3
You will need both copies of the sheets (shown below) per student as there are eight questions
Lesson 4
Only one copy of this worksheet is needed per student for this lesson
Students will also need a one base ten block to place on their desks for size reference
This file contains 2 copies of the required the worksheets for lesson 3 and one copy of the worksheet for lesson 4. Duplicate only once per student
241802_TBM405_tenths_WS
(c) Professor Pete's Classroom, All rights reserved.

13. Supporting Resources:
Resources at profpete.com
Gadgets Interactive Software
Equivalent Fractions: Lesson 7 Convert Common to Decimal Fraction
Equivalent Fractions: Template C Equivalent Fractions to Hundredths and then Decimals
Fraction Conversions: Common Fractions can be Written in Different Ways
Fraction Conversions: Converts between Common Fractions, Decimals & Number Lines
Decimals Tenths: Introduction
Decimals Tenths: Number Expander
Decimals Tenths: Before & After
Decimals Tenths: Counting
Decimals Tenths: Comparing
Odometer Counting by 1: Numbers to 99.9
Odometer Counting by 2 or 5: Numbers to 99.9
Fractions Counter
Gadget
Fractions Converter
Gadget
Odometer
(c) Professor Pete's Classroom, All rights reserved.

14. Lesson 1: Introduction to tenths
ACMNA079
Recognise that the place value system can be extended to tenths... Make connections between fractions and decimal notation
(c) Professor Pete's Classroom, All rights reserved.

15. Folding Tenths
Fifths are smaller than quarters (or fourths)
Find a quarter using the finger slide method along the edge of the paper.
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 (blank on both sides) and have them find where the one quarter mark is
Don’t let them mark it though, just hold the place with their finger
Slide the fingers again to find one quarter
One quarter is smaller than a fifth so they will need to slide their finger which way?
The first time they will find it a little difficult as a judgement call is needed on how far to slide their finger. Use discretion in finding this spot.
Have students mark it and fold the first fold 1 5

16. Folding Tenths
Once the first fifth is folded, how many fifths remain to be to created?
4 x
So fold the remaining piece into four pieces, fold a half…
Then fold it again
Open it out and you should have fifths 1 5
The remaining piece of the paper needed to be divided into four pieces to make up the four fifths
Have students think of a way that this might be possible
Repeat the folding to create four more sections
When opened out there will be 5 pieces
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

17. Folding Tenths From fifths it is easy to fold tenths
Fold the fifths back up again then fold it in half
Open it out and there should be 10 sections
Label them 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10 1 10
By folding in half again the five pieces are doubled to make tenths
Have students write the symbol for one tenth in each section

18. Writing Tenths and Decimals
Tenths are a special fraction
Flip the sheet over, and
Write 0.1 in each of the sections 1 10
0.1
0.1
0.1
0.1
0.1
Tenths can be written in two ways – as common fractions and as decimal fractions
0.1
0.1
0.1
0.1
0.1
Tenths are a special type of fraction
They are written in a different way, as decimal notation
Draw students' attention to the decimal point
The zero is placed at the front of a decimal to draw attention to the decimal point that can be missed as a speck on screen or paper
Have students write 1/10 = 0.1 in their exercise books 1 10 =
0.1

19. 0.3 Folding Tenths = 0.1 3 10 Flip the sheet back again
Shade and write
Flip the sheet again
Shade three tenths then write = 0.3 3 10 1 10
0.1
Have students flip their sheet back again, shade 3/10 and write in their books 3/10
Now flip the sheet back again to the decimal side and shade three tenths. It does not need to be the exact same 3 sections
Have them write 3/10 = 0.3
Encourage students to say “three tenths” rather than “zero point three” as the latter does not confer meaning. By using the name tenths, the connection to the common fraction is made. 3 10 =
0.3

20. Folding & Shading 10 Tenths
Watch as the entire page is shaded, one tenth at a time, until all 10 tenths are shaded
Watch the fractions count up one tenth at a time, all the way to
The final amount shaded is 10 tenths, or one whole
0.1
0.1
0.1
0.1
0.1 10
0.1
0.1
0.1
0.1
0.1
Discuss 10 tenths making one whole (not 0.10) 10 6 5 7 8 9 4 1 2 3 =
0.9
1.0
0.8
0.1
0.7
0.3
0.5
0.6
0.4
0.2 10

21. 0. 0.7 0. 0.2 1 Writing Tenths = = = = = a) b) c) d) e) 10 5 10 10
Complete these
decimal fraction 10 5 10 b) =
common fraction = c) 0.
0.2
decimal fraction 10 = d)
common fraction
Have students write the fractions
Discuss d) and e). These make a whole number which can be written as a common fraction and as a decimal.
Click to reveal the answers = 1 e)
decimal fraction

22. 0.6 0.4 0.7 0.9 1 Writing Tenths = = = = = a) b) c) d) e) 6 10 4 10 7
Complete these questions, matching each common fraction with the decimal fraction a) =
0.6 4 10 b) =
0.4 7 10 c) =
0.7 9 10 =
0.9 d)
Have students write the complete number sentence fill in the answers as they go
The last click will reveal the answers 10 = 1 e)

23. Lesson 2: counting tenths with shapes and number lines
ACMNA079
Recognise that the place value system can be extended to tenths... Make connections between fractions and decimal notation
(c) Professor Pete's Classroom, All rights reserved.

24. Counting Tenths with Shapes
Count forwards
Count forwards with clicks
Encourage students to use the correct term of “one tenth” etc when counting 4 5 2 7 3 8 10 6 9 1 10 =
1 .0
0.8
0.3
0.2
0.1
0.4
0.5
0.9
0.7
0.6 1

25. Counting Tenths with Shapes
Count backwards
Count backwards by clicking the back arrow
Encourage students to use the correct term of “one tenth” etc when counting 4 5 2 7 3 8 10 6 9 1 10 =
1 .0
0.8
0.3
0.2
0.1
0.4
0.5
0.9
0.7
0.6 1

26. Counting Tenths with Shapes
Count forwards 5 7 4 2 1 6 3 9 8 10 10 = 1
0.8
0.4
0.3
0.2
0.1
1 .0
0.5
0.9
0.6
0.7
Count forwards with clicks
Encourage students to use the correct term of “one tenth” etc when counting

27. Counting Tenths with Shapes
Count backwards 10 4 5 3 2 7 1 9 10 6 8 = 1
0.8
0.4
0.3
0.2
0.1
1 .0
0.5
0.9
0.6
0.7
Count backwards by clicking the back arrow
Encourage students to use the correct term of “one tenth” etc when counting

28. Counting to 1 by Tenths Count on the number line
Click to progress along the line
Remember to call them “one tenth” etc
Count on the number line

29. Counting Back From 1 by Tenths
Click to progress backwards along the line
Remember to call them “one tenth” etc
Count on the number line

30. Counting to 1 by Tenths Count on the number line
Click to progress along the line
Remember to call them “one tenth” etc
Count on the number line

31. Counting Back From 1 by Tenths
Count on the number line

32. Lesson 3: locating Tenths on a number line
ACMNA079
Recognise that the place value system can be extended to tenths... Make connections between fractions and decimal notation
(c) Professor Pete's Classroom, All rights reserved.

33. Tenths on Number Line
Write the decimal and common fraction
Locate on the number line
Have students write the missing fractions and place a mark on a number line that is where they think the number is located
Have a student come to the board and mark or point to where they think it is located. Click to reveal more marks on the number line. Where they close?
Discuss how 0.5 is halfway to 1
0.5 5 10
0.5

34. Tenths on Number Line
Write the decimal and common fraction
Locate on the number line
0.9 9 10
0.9

35. Tenths on Number Line
Write the decimal and common fraction
Locate on the number line
The next two questions require students to shade the fraction where there are no tenth markings
Teacher discretion is needed in assessing the accuracy of their answers
0.1 1 10
0.1

36. Tenths on Number Line
Shade the fraction and write the common fraction
Locate on the number line
0.6 6 10
0.6

37. Numbers to 100
What number is at this position on the number line
Write the decimal and common fractions
Shade the fraction
0.8 8 10
0.8

38. Tenths on Number Line
What number is at this position on the number line
Write the decimal and common fractions
Shade the fraction
0.2 2 10
0.2

39. Numbers to 100
Shade the fraction and write the decimal fraction
Locate on the number line
The next two questions require students to shade the fraction where there are no tenth markings
Teacher discretion is needed in assessing the accuracy of their answers
0.4 4 10
0.4

40. Tenths on Number Line
Shade the fraction and write the decimal fraction
Locate on the number line
0.7 7 10
0.7

41. Lesson 4: tenths with base ten blocks
ACMNA079
Recognise that the place value system can be extended to tenths... Make connections between fractions and decimal notation
(c) Professor Pete's Classroom, All rights reserved.

42. Tenths – Base Ten Blocks
This is 1 one block
It is cut up into 10 pieces
Each piece is one tenth 1 10 10 =
0.1 = 1
Give students 1 one block each to look at as a reference for size
Click through the animation to show what happens when this block is cut up into 10 tenths
Ask them to look at their block and imagine cutting it up into 10 pieces
That is the size of a tenth block

43. Tenths – Base Ten Blocks
Look at this number shown with base ten ones and tenths
tenths 2. 3
decimal point
Have students watch and compare the sizes of the parts of a decimal fraction

44. Tenths – Base Ten Blocks
What number is shown here? 0. 4 4 10 =
0.4

45. Tenths – Base Ten Blocks
What number is shown here? 2. 9

46. Tenths – Base Ten Blocks
What number is shown here? 5. 7

47. Tenths – Base Ten Blocks
Here are some whole ones and some tenths
Write the number as a mixed number and as a decimal fraction
This shows a number as whole ones and tenths
Have students write it as a mixed number (whole number and common fraction) and as a decimal fraction
Remember say the decimal as “two and four tenths” as this connects the two ways the number is written 3 10 2 =
2.3

48. Ones and Tenths – Base Ten Blocks
Here are some whole ones and some tenths
Write the number as a mixed number and as a decimal fraction 6 10 3 =
3.6

49. Ones and Tenths – Base Ten Blocks
Here are some whole ones and some tenths
Write the number as a mixed number and as a decimal fraction 8 10 4 =
4.8

50. 3.5 3 3.5 Tenths on Number Line 5 10 Use the sheet provided
Write the decimal and common fraction
Locate on the number line
3.5 5 10 3
3.5
Hand out sheets

51. Tenths on Number Line
Write the decimal and common fraction
Locate on the number line
4.8 8 10 4
4.8

52. Tenths on Number Line
Write the decimal and common fraction
Locate on the number line
1.3 3 10 1
1.3

53. Tenths on Number Line
Write the decimal and common fraction
Locate on the number line
4.0 10 4
4.0

54. Tenths on Number Line
Write the decimal and common fraction
Locate on the number line
0.2 2 10
0.2