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Understanding Matrix Operations: Adding and Subtracting Matrices

In this algebra lesson, students will learn how to add and subtract matrices, focusing on understanding the structure of matrices arranged in rows and columns. A matrix is defined as a rectangular arrangement of numbers, where each item is an entry. The lesson includes warm-up exercises that encourage students to identify real-world data displayed in tabular form and create their own matrices. Students will work collaboratively to add and subtract matrices of the same size, specifically focusing on endangered and threatened species data, followed by a homework assignment to reinforce the concepts learned.

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Understanding Matrix Operations: Adding and Subtracting Matrices

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  1. 1-8 organizing data in matrices Miss battaglia – algebra 1 cp Objective: add and subtract matrices.

  2. Warm up • List all the places you have seen data displayed in the form of a table or chart with rows and columns.

  3. definition • A matrix is a rectangular arrangement of numbers. • (Arranged in rows & columns, inside brackets) • This matrix has 3 rows and 2 columns, so it is a 3 x 2 matrix. Each item in a matrix is an entry. What entry is in row 1, column 2? In row 2, column 1?

  4. example • Make your own 2 x 3 matrix.

  5. Equal matrices… • Two matrices are equal if corresponding entries are equal. • Are the two matrices equal? corresponding entries

  6. Subtract the two matrices You can add or subtract matrices if they are the same size. What size are the matrices?

  7. Add the two matrices You can add or subtract matrices if they are the same size.

  8. Work with a partner… • Write each table as a matrix. Then add the matrices to find the total of endangered and threatened species. • Endangered Species • Threatened Species

  9. Subtract the two matrices You can add or subtract matrices if they are the same size. What would happen if the 2nd matrix was a 3 x 4 matrix?

  10. Add the two matrices You can add or subtract matrices if they are the same size.

  11. Write the tables as matrices, then add.

  12. Lastly… • Create two 3 x 2 matrices then subtract the two matrices.

  13. homework • Pg 41-43 #2–14 even, 18

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