2
DAY 2
Lesson 2: Comparing Numbers
Stage: Abstract Representation
Learn
Write ‘443 > 210’ on the board.
−
Comparing two numbers (PR1ME p. 27)
− Explain to students that the symbol ‘>’ means ‘greater than.’ − Point out to students that since they have to compare the digits from the greatest place value, they have to compare the digits from left to the right.
Learning Outcomes: •
Compare numbers within 1000
Use the symbols ‘>’ and ‘<’ to compare numbers
•
Materials: •
Base ten blocks
(b) Stage: Concrete Experience
(a) Stage: Concrete Experience
If available, use base ten blocks to represent two numbers. This will allow students to easily see and compare the numbers and understand which is the greater or smaller number. − Have two students use base ten blocks to show the numbers 443 and 210. − Guide students to conclude that we need more unit cubes to show 443 than 210. Stage: Pictorial Representation Students will learn to compare two numbers using a place value table. This allows students to easily see and compare the digits in each place value of the two numbers. − Copy the place value chart shown on PR1ME p. 27 on the board without filling in the numbers. − Draw students’ attention to the column on the left, the column in the middle and the column on the right and highlight that they represent hundreds, tens and ones respectively. − Guide students to fill in the tables to show the numbers 443 and 210 as shown on the page. − Explain to students that to compare the numbers, we first compare the digits in the greatest place value. In this case, we compare the digits in the hundreds place first, then the tens, and finally the ones. − Guide students to compare the digits in the hundreds place and conclude that since 4 hundreds is greater than 2 hundreds, 443 is greater than 210.
− If available, have two students use base ten blocks to show the numbers 255 and 270. − Guide students to conclude that we need fewer unit cubes to show 255 than 270. Stage: Pictorial Representation − Copy the place value chart shown on PR1ME p. 27. on the board without filling in the numbers. − Have two students fill in the chart to show the numbers 255 and 270. − Explain to students that to compare the numbers, we first compare the digits in the greatest place value. In this case, we compare the hundreds first. − Guide students to compare the digits in the hundreds place and conclude that since the number of hundreds in 255 and 270 is the same, we have to compare the tens next. − Then, guide students to compare the digits in the tens place and conclude that since 5 tens is smaller than 7 tens, 255 is smaller than 270. Stage: Abstract Representation Students will learn to use the ‘smaller than’ symbol to compare two numbers. − Explain to students that the symbol ‘ < ’ means ‘smaller than’ or ‘less than’. − − Write ‘255 < 270’ on the board. Have students compare the two numbers using the symbols ‘>’ and ‘<’. Guide them to conclude that we can compare 255 and 270 by writing ‘255 < 270’ or ‘270 > 255’.
40 Scholar Zone Summer: Math
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