Problem Solving Block

1. Problem Solving Block Optional Lonestar Problem Nicole put her glass animal figures on 7 shelves. Each shelf had 14 figures. One day, her cat knocked over and broke 3 figures from each of 2 shelves. Then, her mother replaced one broken figure on each shelf. How many glass animals does Nicole have now. Show how you found your answer.

2. Ten Minute Math Multiplication 56 x 24= Shawn has 82 baseball cards. His brother has 6 times as many. How many does his brother have?

3. Ten Minute Math Division 522 ÷ 9= 258 ÷ 3=

4. REVIEW: Conversions Kasey grandmother is 896 months old. Her grandfather is 78 years old. Who is older?

5. REVIEW: Elapsed Time Start Time: 7:45 pm End Time: ? Elapsed Time: 4 hrs 35 mins

6. How can we find equal parts of a whole? • Introducing Halves of Fourths • Imagine that this rectangle is a sandwich. I want to each half now and save half for later. • I’m going to cut it like this. • What fraction of the rectangle is this shaded piece? What fraction is the other piece? • What if I wanted to eat only ¼ of this sandwich. On student activity book p.1, find a few different ways to show ¼ of the sandwich. • Representation of ¼ NOT a Representation of ¼ 12 12

7. How can we find equal parts of a whole? • Introducing Halves of Fourths • Allow students a few minutes to share how they came up with different fourths. • These are all representations of ¼ of the whole rectangle, but they look different. Who can explain how you know that these are all ¼? • You may think they all look equal, but if someone looked at them and didn’t think they were all ¼ how could you convince them this it is ¼? • If the AREA of the rectangle is 24 what is ¼? • We agree that this is ¼. What fraction of the whole rectangle is the rest of the space?

8. How can we find equal parts of a whole? • Introducing Halves of Fourths • If I share this sandwich among four people, what fraction of the sandwich will each person get? • What fraction of the sandwich would two people get? • If three people take their shares, how many fourths is that? • The number on the BOTTOM of the fraction shows the TOTAL NUMBER of PIECES that make up the whole. This is called the… • The number on the TOP shows how many of those PIECES we are talking about. This is called the… DENOMINATOR NUMERATOR

9. How can we find equal parts of a whole? • Finding Fourths and Eighths • Suppose that someone said that this shaded piece is ¼ of the whole rectangle and the rest of the rectangle is ¾. Do you think this is correct? Talk about it with your partner. • Have students share their reasoning… (Student may also want to cut apart a rectangle to check their reasoning) • So ¼ of this rectangle plus ¾ of this rectangle equals the whole rectangle.

10. How can we find equal parts of a whole? • Finding Fourths and Eighths • ¼ + ¾ = 1 • For the rest of class, you will be finding and labeling fourths. • Use your 4x6 rectangles to shade and label the following fractions: 1/4, 2/4, 3/4. • See whether you can divide each rectangle into fourths differently as you are finding ways to make these fractional parts. If you have time, find more than one way to make each fractional part. 14 14 14 14

11. How can we find equal parts of a whole? • CHALLENGE • You will see examples of fourths of a 4x6 rectangles. Now I want you to find 1/8 of the same rectangle. Think about sharing this same sandwich among eight people. Will each piece, each eight, be bigger or smaller that ½ and ¼? • Work to find a few examples of 1/8 of the sandwich. Think about: How many squares will it be out of 24?

12. Independent Work: