Year 5 Webquest: Mathematics: Fractions and Decimals

Introduction
During Year 5 the students are required to make connections between how numbers are represented. Moreover, the learners are required to demonstrate how fraction can be used to represent probabilities, order fractions and decimals and represent them in different ways. Additionally, the students are required to be fluent in choosing the choosing the appropriate measurement units that can be utilized to calculate an area’s perimeter through the use of reasonableness check to answer calculations through the use of instruments to measure angles.

Let us explore several challenges to understand how to Manipulate fractions and decimals.

 

READY? Lets get started!!

Task

 

Fractions are useful in the daily life. Therefore, mastering them is an important consideration as it helps in the completion of many daily tasks. For instance, fractions are important since they guide a baker on the right amount of ingredient to be considered when baking. In the next 4 lessons we will learn how to work with fractions and decimals to enhance our skills in this area.

 

Note: Pay attention to all the rules and follow all the stipulated guidelines. Enjoy the                                      lessons and good luck!

 

                                                                                                                                Lesson 1

Process

Lesson 1:

Activity 1

Are you able to change fractions into numerals? Please review the site below to understand how fractions can be converted into decimals.


Activity 2

            Baker 1 adds one-third teaspoon of salt in his cake mixture while Baker 2 adds one-quarter teaspoon of the same ingredient. Compare the fractions on a number line and establish which one is larger. Please review the media below to establish how to compare fractions on a number line.


                             Congratulations! You can now move to Lesson 2.

                                                                    Lesson 2

Let us enhance our skills further.

Activity 1:

Help your close friend hit the bull eyes during a family competition. Establish two fractions which when combined will add up to the target number of a value of two. Complete the numerators of chosen fractions whereby one may have a fixed denominator. Navigate through the media below to understand how to use the fraction fiddle tool for modelling and outline your answer.

Fraction fiddle and modeling

Activity 2

How well do you understand decimal place values?

 Consider a number including hundredths such as 24.88 and work towards transforming it into a target number such as 48.74. Come up with a random number and identify its decimal place value and establish whether to add or subtract the random number from the first one selected. Use a wishball to complete this activity by reaching the target number. Focus on making only a few subtractions and additions to arrive at the target number.

Click this link to complete this challenge

                                         Well Done! Please proceed to Lesson 3.

                                                         
                                                                    Lesson 3

Activity 1:

Correctly point out the place value of digits in the numbers 123655.3. Kindly, go through the link below to remember the basics of the place value system. Subsequently, correctly identify the place value of the digits in the number identified.

 Place value system

Activity 2:

How well can you represent decimals through the use of mathematical notation and visual tools? Match the decimal fraction 0.8 on the tool.  Adjust the units on the range of visual scales and other representations. The representations are further explored in any order such as counting frame, number line, array, dial, pie chart, and common fraction. Identify three decimals and further match them with each tool. Follow the link below to access the Decimaster tool needed for this activity.

Decimaster tool (

                                                                                      Congratulations! You can now complete lesson 4.

                                                                                     Lesson 4

 

Activity 1:

Can you extend place values?

Help the lost puppy arrive home safely by stepping on stones and not falling in swamp full of predators. The path should be formed by placing the stones in ascending of tenths or hundredths order to form a safe path. Document the counting pattern.


Activity 2

How can decimals be represented through the use of mathematical notation and visual tools?

Explore how scale can be used on a number line. Choose a ruler that displays a helpful scale such as hundredths. Identify a pair of numbers on the number line such as 8.97 and 9.12. Point out a number matching another position. Estimate the relative distance through a marked scale. Complete this activity through the help of the resource in the link.

Scale Matters

Great Job! You have effectively completed all the activities.

Evaluation

Lesson

Distinction

Credit

Pass

Fail/Not attempted

Lesson 1 Activity 1

 

 

 

 

Lesson 1 Activity 2

 

 

 

 

Lesson 2 Activity 1

 

 

 

 

Lesson 2

Activity 2

 

 

 

 

Lesson 3

Activity 1

 

 

 

 

Lesson 3

Activity 2

 

 

 

 

Lesson 4

Activity 1

 

 

 

 

Lesson 4

Activity 2

 

 

 

 

Conclusion

Great Job!

            You have successfully completed all the activities required under the Fractions and decimals modules. You have applied the knowledge applied in class to real world cases and proved that you have desirable skills of computing fractions and decimals cases. Reflect on your learning experience and suggest areas of improvement.

Credits

 

Australian Curriculum, Assessment and Reporting Authority (2013, October 9) Foundation to Year 10 Curriculum, Australian Curriculum, Assessment and Reporting Authority, Retrieved from http://www.australiancurriculum.edu.au/Curriculum/F-10

Decimaster: Match Up 2. (2013). Education Services Australia. Retrieved from http://www.scootle.edu.au/ec/viewing/L1077/index.html

Donovan, K. (2016). Fraction Fiddle: Comparing Unit Fractions. YouTube. Retrieved from https://www.youtube.com/watch?v=EEqpESpZkwc

Fraction Fiddle. (2013). Education Services Australia. Retrieved from http://www.scootle.edu.au/ec/viewing/L2806/index.html

Greenwood, T. (2018). Swamp survival hundredths counting TLF L7901 v3 0 0 Google Chrome 7 05 2018 2 07 41 PM, YouTube. Retrieved from https://www.youtube.com/watch?v=iNS7lgQywiA

Parrish, S. (2010). Grades Three through Five Number Talks. Math Solutions. Retrieved from https://bps.solutions/MATH/Grade3-5_Number_Talks.pdf

Scale Matters. (2013). Education Services Australia Ltd. Retrieved from http://www.scootle.edu.au/ec/viewing/L2000/index.html

Shaunteaches. (2012). Graphing Calculator - Convert Fractions and Decimals. YouTube. Retrieved from https://www.youtube.com/watch?v=YXLFQC3PejE 

Teacher Page

Purpose

The WebQuest I have created is established as an interactive and engaging unit of study for Year 5 students to assist them in learning fractions and decimals. This WebQuest will enable the students to establish and applying new knowledge about this area of study in real world scenarios. Notably, the students should have extensive knowledge of the fact that any information learned in class can be applied to real life, such as when determining the right ingredients when baking, and is fundamental towards an essential living.

This WebQuest is composed of 4 lessons which are not only fun but also interactive. Each lesson is unique, and hence has a set of instructions focused on guiding the learners about what is expected. Subsequently, the learners are required to complete a set of challenges focused on enhancing their mathematical skills.

Year 5 Curriculum Outcomes (Fractions and Decimals)

This WebQuest is designed to meet the requirements of the Australian Curriculum Outcomes for Year 5 learners as outlined below.

  • Compare and order common unit fractions and locate and represent them on a number line (ACMNA102)
  • Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator(ACMNA 103) 
  • Recognise that the place value system can be extended beyond hundredths (ACMNA 104
  • Compare, order and represent decimals (ACMNA105)

The chosen activities will achieve the desired learning outcomes by enhancing the mathematical skills of the learners in specific areas involving the manipulation of fractions and decimals.