Multiplication and Division. Multiplication/Division Model Site ingBlocks_MD/TB_MD_Main.htmlhttp://www.thinkingblocks.com/Think.

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Presentation transcript:

Multiplication and Division

Multiplication/Division Model Site ingBlocks_MD/TB_MD_Main.htmlhttp:// ingBlocks_MD/TB_MD_Main.html

Multiplication (Marilyn Burns) Circles and Stars Stars in One Minute Candy boxes

Circles and Stars You need: one die, a partner, a sheet of paper, pencil, a pair of scissors, and a stapler Fold your paper into fourths, cut it apart on the folds, and staple it to make a booklet. Write Circles and Stars and your name on the front. Each player will Roll a die and draw that many circles on your first page. (Make sure they are big enough to draw up to 6 stars inside.) Next, each player will Roll the die again and draw that many stars in each of your circles. Each player records the multiplication equation and the number of stars on their page. Complete the booklet by playing 6 more rounds of the game. Once your book is complete, total up your stars. The player with the most stars in the entire book wins.

Stars in a Minute Predict how many stars you think you can draw in 1 minute. Record your prediction. Make stars while your partner times 1 minute. Count. Record your answer. Describe how you counted.

Candy Boxes You need: 36 color tiles, paper, half-inch grid paper, scissors, and tape or glue You have been hired to pack candy in rectangular boxes in one layer. If you had to pack 4 candies, you could design two different boxes. One would look like this: 1. Find all the different rectangular boxes for your given number of candies. 2. Use half-inch grid paper to record all the possible rectangles. 3. Cut out each rectangular shape you find and label it by writing the dimensions inside the rectangle. (Ie. 2 x 2)

Candy Boxes- Culminating Class Activity For which numbers are there rectangles that have sides with two squares on them? Write the numbers from smallest to largest. For which numbers are there rectangles that have sides with three squares on them? Write the numbers from smallest to largest. Do the same for numbers with rectangles that have four squares on a side. Do the same for numbers with rectangles that have five squares on a side. Which numbers have rectangles that are squares? How many squares are in the next larger square you can make? What is the smallest number with exactly two different rectangles? Three different rectangles? Four? Which numbers have only one rectangle? List them from smallest to largest.

Contextual Division Problems Ms. Wright has 28 students in her class. She wants to divide them into groups with 4 students in each group. How many groups will she have? Ms. Wright has 28 students in her class. She wants to divide them into 4 groups. How many students will be in each group?

Contextual Division Problems How could you distribute 231 M&Ms evenly among 5 containers? How could you evenly distribute 231 gum balls into packages of 5? How many packages could be filled?

Contextual Division Problems A factory that produces candy packages the candies into rolls, boxes, and cases for shipment and sale. There are 10 individual candies in each roll, 10 rolls in each box, and 10 boxes in each case.

Contextual Division Problems There are 1627 lemon candies in the storeroom. Mr. King, the storeroom manger, needs to divide these evenly for shipment to the company’s 13 retail shops. How many lemon candies will each shop receive? DRAW YOUR SOLUTION – Be prepared to discuss!

Mental Multiplication 276 x 4

Mental Multiplication 498 x 6

Using base ten blocks 583 divided by 4

Recording trades 872 divided by 6