Decimals & Mosaics

6 minutes

Decimals Unit Plan #

Previous Lesson
Decimals Introduction, Eureka grade 4, module 6, Lessons 2-4.
Rational
Art can enhance concept understanding. In this unit we are using the art form of mosaics to understand the idea that fractions and decimals represent the same amount. The visual medium will reinforce the connection, deepen understanding, and encourage creative thinking.

Decimal Models Part 1 #

Centered around Eureka grade 4 module 6, lesson 5

Learning Target
Model the equivalence of tenths and hundredths using the area model.
CC Standard
4.NF.C.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
Materials
Overview

Number Talks (5 Minutes)

Project the “Today’s number is 0.4.” Have students brainstorm different ways to show this number on their white boards. Spend 2 minutes working individually, then have them share in their groups to see if they can produce more. Lastly, call on volunteers to write their ideas on the whiteboard for the whole class to see. If this is something you have done before as a class, see if you can beat your previous record for representations. Ideas include a fraction strip, Fraction circle, taking the decimal to further place values, creating equations, equivalent fractions, a number line, or real-world representations like money.

Concept Building (10 Minutes)

Begin with the class decimal chant, “Decimals they are parts of a whole, by tenths, hundredths, thousandths they unroll.” Show the slide with the learning intentions for the day. Switch to the document camera to work though problems 1&2 in the Eureka lesson 5 problem set as a whole group. Reference the place value chart as needed. Afte the first section, call on students to tell next steps in the problem and solve them. Explain to the class that we will be using our knowledge of area and decimals to create some art tomorrow. Show them the planning sheet and the Mosiac Organizer. Explain that we will be filling these out during small group time with the teacher.

Group Rotations (30 Minutes)

Students will rotate through 3 different groups:

  1. Group with the teacher working on their Mosiac Planner
    1. The teacher will help the students pick colors and plan ratios for the project.
  2. Group playing the Decimals and Fractions Game with partners
  3. Group work on math fluency though Imagine Math computer program

Discussion (5 minutes)

Bring the students back to their desks and have a discussion. Let’s talk about the Decimal game you all played. How were the decimal form and fraction form the same or different? What patterns did you notice? Did you find any hacks, cheats, or strategies to make the math easier?

Assessment

Exit Ticket (10 minutes)

Students will complete the exit ticket for unit 6 lesson 5 in their Eureka workbooks and place them in the red, yellow, or green bins to show how well they feel they understand the concepts. Red means they need more help. Yellow means they almost understand. Green means they understand.

Success Criteria
Students will be successful when they can correctly answer 3/4 problems on the exit ticket.

Place Value Chart Example

Decimal Models Part 2 #

Centered around Eureka grade 4 module 6, lesson 5

Learning Target
Model the equivalence of tenths and hundredths using the area model.
CC Standard
Art Anchor Standard 1.2: Creating, Generate and conceptualize artistic ideas and work, Performance Standard (VA: Cr1.2.4) Collaboratively set goals and create artwork that is meaningful and has purpose to the makers.
Materials
Overview

Number Talks (5 Minutes) Project the cow mosaic (First slide) and ask the class, what do you notice, what do you wonder. If they need some help, ask them things like “how many squares do you see? How many squares are brown? Does it remind you of anything?

Concept Building (10 Minutes) Show the slide and go over the learning indentations (Slide 2) with the students. Then, watch the Video “What is a Mosaic? Early Roman Mosaics for Kids” (Slide 3) Ask the students: What are mosaics? What surprised you? What role does creativity play in creating these mosaics? Continue to move through the remaining slides with the following script:

Slide 4 Ancient Romans were masters of mosaic art. They would adorn their buildings with elaborate designs, frequently drawing inspiration fromnature or geometry as seen in this slide. What materials do you see being used here? Why do you think mosaics were so common in Roman Culture?

Slide 5 Fast forward to modern times and travel to Hanoi Vietnam. The Mosiac Mural stretches over 4 kilometers. This is one of the longest ceramic murals in the world! What impact do you think this muralhad on the community? What message do you think they were tryingto share?

Slide 6 Closer to home, Philadelphia’s Magic Gardens is an immersive art environment created by artist Isaiah Zagar. What emotions does this evoke in you?

Create mosaic (20 Minutes) Return the mosaic planning sheets and a Mosaic builder sheet to the students. Go over the instructions (Slide 7). Give students time to create their mosaics. Walk around helping those who are struggling with ideas or motor skills. Students who finish early may partner up and play the Decimals and Fractions Game or see alternative options at the end of the lesson plan.

Gallery Walk (15 minutes) This part of the assignment may need to be moved to the following day due to time constraints. Show slide 8 stating the expectations for the gallery walk. Students will observe their peers’ mosaics and leave constructive feedback. Students should observe all the mosaics and leave notes on at least two.

Assessment
Exit Ticket (10 minutes) Students will fill in the Gallery Walk Reflection Worksheet reflecting on the processes they went through.
Success Criteria
Students will be successful when they create a mosaic with 100 parts.
Alternative Mosaic options depending on resources
  1. Students could create their mosaics with Perler beads.
  2. Mosaics could be used as sewing plans for hot pads. Reduce the grid to 5X5 for time considerations and have students create equivalent fractions on their preparation sheets.
  3. Students with motor control difficulties could create mosaics through a computer program. Google Slides

Graphic Organizers #

References #

(n.d.). 13 of the World's Most Beautiful and Intricate Mosaics. Wanderlust. https://www.wanderlust.co.uk/content/beautiful-mosaics-from-around-the-world/
Alessandro0770. Closeup view of an ancient roman mosaic [Photograph]. https://www.123rf.com/photo_15200763_closeup-view-of-an-ancient-roman-mosaic.html
Hanoi Ceramic Mosaic Mural. (2024, March 9). In Wikipedia. https://en.wikipedia.org/wiki/Hanoi_Ceramic_Mosaic_Mural
[Learning With Jason]. (2020, January 24). What is a Mosaic? Early Roman Mosaics for Kids [Video]. https://www.youtube.com/watch?v=uKb6BA1uAyg
OpenAI. (2024). ChatGPT (3.5) [Large language model]. https://chat.openai.com Mosiac Teacher Talk