Order decimal numbers (whole number plus tenths, e.g. 4.8) on a number line
0-100, 0-10, 0-1
Time frame: 10-15 minutes
Audience: Whole class, small group, individual
Materials: Prepare 3 sets of number cards: 0, 10, 20, 30 , 40, 50, 60 ,70, 80, 90, 100 & 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 & 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1 and string, masking tape or chalk to create a number line.
Summary: Start with the increments of 10 and place the 0 and 100 at either ends of the number line. Then continue to place the rest of the numbers with the emphasis on equal spacing. Don�t take these cards down.�
Guiding questions: When placing cards 0-100, ask the students which of the remaining numbers will be the easiest to place. Hopefully most students will say 50 and ask them to explain why. Repeat this process with cards 0-10 and ask which is easiest to place and why. What is the connection between 100 and 10? Between 10 and 1? What is the connection between 50 and 5? What is the connection between 5 and 0.5?
Source: The Maths Learning Centre https://www.mathlearningcenter.org/sites/default/files/pdfs/LTM_Numberline.pdf
Math Antics - The Number Line
Timeframe: 10:12 mins
Audience: Whole class, small group, individual
Materials: device to watch
Summary: The video shows how numbers are placed on a number line. It is scaffolded and starts with whole numbers before making the connection to tenths.
Guiding questions: Pause when each number line is almost full and ask students to identify the patterns that they notice. Then have them turn and talk to predict what number will be next.
Guiding questions: Pause when each number line is almost full and ask students to identify the patterns that they notice. Then have them turn and talk to predict what number will be next.
Source: Math Antics: https://youtu.be/RSJOTBJlKNA?si=eBxGlyFa0f17vM9-
Interactive Number Line
Timeframe: 5 - 10 minutes
Audience: whole class
Materials: device
Summary: Key in parameters to start at 0 and end at 1 and increase by increments of one hundredth
Guiding questions: What patterns do you notice? Do number lines always start at 0?
Washing Line Fractions
Timeframe: 15 mins
Audience: 1 student, small group or whole class
Materials: String, fractions represented as a symbol, number and pictorial, pegs (optional)
Summary: Place at least 2 metres of string up like a washing line. It must be able to hold multiple pegs/paper. This represents a numberline. Peg your representations up in order and accurately space them apart eg. 2, 2.1, 2.2, 2.3 etc. Span your number line across at least 2 wholes. Strengthen understanding by including multiple representations e.g. decimal and picture. If you don't have pegs, you can use slips of paper that are folded in half to hang over the line. If students are not familiar with number lines, start with whole numbers first and then build up to decimals. Multiple washing lines can be strung up, one below the other, to show pictures, fractions, decimal numbers and percentages.
Guiding questions: What number is at the start/end of the washing line? Why do the numbers need to be equally spaced apart? Which number is the easiest to place first? Model a non-example and ask students why it is incorrect and how to correct it.
Source: unknown
Count by TenthsÂ
Timeframe: 30 minutes
Audience: IndividualÂ
Materials: Number Line with 0 - 1 on this
Summary: STORY - In q small village called Numberville, all the numbers lived peacefully on their number lines. The whole numbers had their own spaces, but in between them, there were mysterious places that the whole numbers couldn’t reach. These were the homes of the Decimal Detectives—small, brave numbers that lived between the whole numbers. One day, Detective Decimal, who lived between 0 and 1, noticed something strange. The Decimal Detective Squad, made up of numbers like 0.1, 0.2, and 0.3, realised they had an important mission: to help the other numbers understand how they fit on the number line. Detective Decimal decided to take the squad on an adventure. They started at the number 0 and moved towards 1, each one stepping forward one section at a time. As they moved, they counted their places out loud: Zero, one tenth, two tenths and so on until they reached "ten tenths," which they know is equal to 1 whole. Students label their number line with correct tenths. Decimal Number Line Setup:
Provide each student with a blank number line marked with 0 on one end and 1 on the other.
The number line should be divided into 10 equal sections, but without the decimal numbers marked.
Guiding Questions: Could we extend this? YES - Students continue their number lines going up to 2, then 3.
Following on from this they could label hundredths.
Source: unknown
Decimal Kombat
Timeframe: 10-20 minutes.Â
Audience: In partners.
Materials: Game board, dice, whiteboard marker.Â
Summary: In the middle of the game board students will choose a target. E.g. 6.83. Using the dice, students will roll the dice. They can either choose to use the number within their decimal or they can throw it in the bin. Students only have two opportunities to throw the number in the bin otherwise they have to use it in their decimal. The partner who gets their decimal the closest to the target wins.Â
Guiding questions: Why would we put certain numbers in that order? How can we get closest to the target even if we don’t roll the exact number? What numbers are you trying to get in the tenths part? Depending on your target which numbers are you aiming to eliminate.Â
Source: unknown