Grade 2 · Unit 6 · Lesson 8: Are All Pieces Created Equal?
Make Quarters and Halves
- Activity 1
- 20 min
- Partners
- 2.G.A.3
Lin partitions this square into quarters. She starts by splitting the square into halves. After she draws the first line, she tries 3 different ways to make fourths. Student task statement, Grade 2 Unit 6 Lesson 8
Scroll the figure sideways to see all of it.
All three squares have four parts. Only B has four equal parts, so only B shows fourths. In the curriculum’s own words: “The other 2 shapes show 4 pieces, but they are not equal.”
The move.Students look at Lin’s three attempts and decide which one worked. Then they partition their own shapes, answer questions about the pieces, and compare with a partner. Activity 2 does the same work with thirds, using a circle and a rectangle.
Why it works.Four parts and four fourths are not the same claim, and a seven-year-old will not notice the difference until someone puts three wrong answers next to one right one. That is the whole activity. The standard says it out loud: equal shares of identical wholes need not have the same shape.
And then the cool-down, five minutes.
Same size paper. Andre says he painted more than Noah. Do you agree?
No. Both painted half of the page, because each page is split into two equal parts and the pages are the same size. Different shape, same share. One question, and you know tomorrow morning who has it.




