Which 3 go together?

Diagram, rectangle partitioned vertically into 4 rectangles. Left rectangle, vertical side, 4, horizontal side, five thousand. Area, twenty thousand. Colored blue. Second rectangle, horizontal side, three hundred. Area, question mark. Colored red. Third rectangle, horizontal side, 40. Area, one hundred sixty. Colored yellow. Right rectangle, horizontal side, 2. Area, 8. Colored green

Diagram, rectangle partitioned vertically into 3 rectangles. Left rectangle, vertical side, 4, horizontal side, five thousand. Area, twenty thousand. Middle rectangle, horizontal side, three hundred. Area, one thousand two hundred. Right rectangle, horizontal side, 42. Area, one hundred sixty eight. 

Diagram, rectangle partitioned vertically into 4 rectangles. Left rectangle, vertical side, 5, horizontal side, five thousand. Area, twenty five thousand. Colored blue. Second rectangle, horizontal side, three hundred. Area, one thousand five hundred. Colored red. Third rectangle, horizontal side, 40. Area, two hundred. Colored yellow. Right rectangle, horizontal side, 2. Area, 10. Colored green.

Diagram, rectangle partitioned vertically and horizontally into 6 rectangles. Top left rectangle, vertical side, 30, horizontal side, two hundred. Top middle rectangle, horizontal side, 40. Top right rectangle, horizontal side, 5. Bottom 3 rectangles, vertical side, 5.

Diagram, rectangle partitioned vertically and horizontally into 6 rectangles. Top left rectangle, vertical side, 30, horizontal side, two hundred. Top middle rectangle, horizontal side, 40. Top right rectangle, horizontal side, 5. Bottom 3 rectangles, vertical side, 5.

Diagram, rectangle partitioned vertically and horizontally into 6 rectangles. Top left rectangle, vertical side, 30, horizontal side, two hundred. Top middle rectangle, horizontal side, 40. Top right rectangle, horizontal side, 5. Bottom 3 rectangles, vertical side, 5.

1. Take turns. Choose a set of expressions that when added together have the same value as . Use the diagrams if they are helpful.
2. Explain how you know the sum of your expressions has the same value as .
3. What is the value of ? Explain or show your reasoning.

Andre

multiply. two hundred forty five times 35. 9 rows. First row: 2 hundred forty five. Second row: multiplication symbol, 35. Horizontal line. Third row: 1 thousand. Fourth row: 1 thousand two hundred. Fifth row: 1 hundred fifty. Sixth row: 1 thousand. Seventh row: 2 hundred. Eighth row: plus 25. Horizontal line. Ninth row: 8 thousand five hundred seventy five

Clare

multiply. two hundred forty five times 35. 9 rows. First row: 2 hundred forty five. Second row: multiplication symbol, 35. Horizontal line. Third row: 25. Fourth row: 2 hundred. Fifth row: 1 thousand. Sixth row: 1 hundred fifty. Seventh row: 1 thousand 2 hundred. Eighth row: plus 6 thousand. Horizontal line. Ninth row: 8 thousand five hundred seventy five

1. How are Andre’s and Clare’s strategies alike? How are they different?

2. Create a list of equations that represent the partial products Andre and Clare found.