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Warm Up

Warm Up. What is the AREA of the shape above? 2. What is the PERIMETER of the shape above?. Complete the chart. What is the rule? 4. Hallmark Elementary School has 1,032 students. Anwari Elementary school has 1,189 students. What is the total number of students at the two schools?.

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Warm Up

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  1. Warm Up • What is the AREA of the shape above? 2. What is the PERIMETER of the shape above? • Complete the chart. What is the rule? 4. Hallmark Elementary School has 1,032 students. Anwari Elementary school has 1,189 students. What is the total number of students at the two schools?

  2. Tuesday The shortest distance from Plainview to Big Spring is 154 miles. How many miles is it from Tahoka to Big Spring?

  3. 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…

  4. 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…

  5. 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?

  6. Two Arrays Make a Rectangle (45 mins) • Today we are going to think about how to use combinations of smaller arrays to make bigger arrays. This will help us think more about how to solve harder multiplication problems by breaking big problems into smaller problems that are easier to work with. Example: (4x9)= (4+4)+(4+5) • Think about what other two arrays we could put together to make a rectangle that matches the 4x9 array EXACTLY. • Talk to your shoulder partner and use your array cards to try to come up with different combinations of TWO arrays. 9 4 4 x 9 9 4 4 x 4 4 x 5

  7. Two Arrays Make a Rectangle (45 mins) • Once you have an understanding, you and your shoulder partner may work on your own large arrays and find two smaller arrays in their sets that combine to match the larger one EXACTLY. • For each match you make, record your answers on manila paper by cutting the arrays out of Centimeter Grid Paper. Color, write the dimensions of both small arrays, and writing an equations using parentheses. • Big Arrays you may choose: 12 x 11, 12 x 11, 12 x 10, 12 x9, 12 x8 11 x 11, 11 x 10, 11 x9, 11 x 8, 10x10, 10 x9, 10 x8, 9 x 9, 8 x 8 • You may select other arrays but one factor must be larger than 8. 9 4 4 x 9 9 4 (4 x 4) (4 x 5) (4 x 4) + (4 x 5)

  8. Discussion 9 • Without looking at your array cards, how can we break this array into smaller arrays? • Which factor would you break apart? • Record the class's ideas on chart. • Repeat with other equations and have students mentally solve. • How can multiplication problems with larger numbers always be broken down into smaller parts that make them easier to solve? 8 x 9 8

  9. Independent Work Complete Student Activity Page 6. On the back, divide page into 6 squares. Answer the following multiplication problems and show your work: • 16 x 8 • 18 x 9 • 15 x 6 • 14 x 7 • 13 x 5 • 20 x 6

  10. Math Menu • Multiplication War • Dice Multiplication • Circle and Stars • EnVision Game Show Lesson 11

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