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Warm Up

Warm Up. 56 x 3 = 2. 138 ÷ 6 =. 3. The table below shows the number of spiders in each case. How many spiders are in 32 cases?

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Warm Up

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  1. Warm Up • 56 x 3 = • 2. 138 ÷ 6 = 3. The table below shows the number of spiders in each case. How many spiders are in 32 cases? 4. The Davis family purchased 8,786 pieces of candy to hand out on Halloween night. If they gave one piece of candy to each kid that came by, how many kids did they give candy to if they had 2,597 piece of candy left?

  2. Ten Minute Math Quick Images Show image for 3 seconds Write several different equations to find the total number of dots Try to look for groups of patterns in the image First View…

  3. Ten Minute Math Quick Images Take a couple of minutes to write down equations. You may find it helpful to draw the image, jot down information about what you saw or write equations. Second view…

  4. Ten Minute Math Quick Images You may want to revise your drawings, notes, or equations on the basis of the second viewing. After a few minutes, show the image again for the third time, but leave the image displayed. Would anyone like to explain how they saw the image (including any revisions they made)? How were you able to remember this image after seeing it briefly? What did you notice in the image that helped you?

  5. Randi, at 15, is three times as old as her younger sister, Misty. Randi is using this recipe card to bake a cake to surprise her younger sister. Tuesday CAKE Preheat oven to 350 degrees F. In a large bowl mix: 1/2 cup butter or margarine 3 eggs 1 cup sugar 1 cup applesauce Add: 4 cups flour 2 teaspoons baking powder ½ teaspoon salt 3 teaspoon vanilla Pour into greased pan and bake: ________________________________ Pan Size Number of Minutes 9 X 13 35 min 8 in. square 42 min Cupcakes 28 min • The oven preheats in 10 minutes. After 5 minutes the temperature is 175 degrees. How many degrees must it heat in the next 5 minutes?

  6. Multiplication Clusters Multiplication Clusters are a set of problems that are related in some way to the final problem. Although they are not all related to one another. They are all related to the final problem. 13 x 2 = 13 x 4 = 3 x 8 = 12 x 8 = Final Problem: 13 x 8 = For example, 12 x 8 is not closely related to 13 x 4, but it is related in a different way to 13 x 8, the final product you are trying to solve in this cluster. Work with your shoulder partner to solve the Multiplication Cluster. Solve the first four problems first and chose one or more problems in the cluster to help you solve the final problem,

  7. Discussion: Multiplication Clusters What strategies did you use to solve the final problem? (Record some strategies on Chart Paper to be used later) 13 x 2 = 13 x 4 = 3 x 8 = 12 x 8 = Final Problem: 13 x 8 = Possible Strategy #1 13 x 2 =26 13 x 4 = 52 13 x 8 = 104 Q: What is happening in this strategy? A: One of the factors is doubled each time, which doubles the product. Possible Strategy #3 12 x 8 = 96 96 + 8 = 104 13 x 8 = 104 Q: What is happening in this strategy? A: Some of you may just know that 12x8=96. So you can just add 8 more to solve for 13x8. Possible Strategy #2 3 x 8 = 24 10 x 8 = 80 13 x 8 = 104 Q: What is happening in this strategy? A: 13 is broken apart by place value. Students use 3 x 8 from the cluster and then add 10 x 8, which is not in the cluster.

  8. Independent Work: Multiplication Cluster Problems Complete Student Activity Pages 57 and 58 (Give students about 25 mins) In the space beside each set of cluster problems you solve, explain which set of cluster problems you used to solve for the final product and explain how you used them. Once your paper is complete: Play Multiplication Migration in groups no larger than 4.

  9. Discussion: Representing Cluster Problems with Arrays Let’s look back at the strategies you used to solve 13 x 8. How can we use arrays to show how you used the problems in the cluster? 13 8 I am going to start by drawing just the finaly problem 13 x 8. We will imagine all the squares are there that make up the array. How many rows are in this array? How many squares are in each row?

  10. Discussion: Representing Cluster Problems with Arrays 13 10 3 Possible Strategy #2 3 x 8 = 24 10 x 8 = 80 13 x 8 = 104 10 x 8 3 x 8 8 For example, let’s use possible strategy #2. How should I break up this array to match Possible Strategy #2? Now that you have seen an example, draw areas to match the strategies you used to solve for the final problem.

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