Tag Archives: Common Core Math

Addressing Mathematical Practice Standards Through Multiplication and Division Word Problems

Addressing Mathematical Practice Standards Through Multiplication and Division Word Problems

Have you ever given your students an experience with manipulatives and then found when you shifted over to a textbook that the students didn’t make the connection between the two experiences? As a curriculum developer and researcher, I am constantly looking for more ways for students to make connections from the concrete (manipulatives) to the representational (pictures) to the abstract (numbers).Multiplication Division1  Multiplication Division2I think word problems can help us do this because they are from the real world, and students can visualize themselves in the given situation.Now, word problems can be challenging for students because they require the students to have an understanding of the context or setting, an ability to read, and an understanding of the math concepts involved. Today I want to share with you something I recently field tested that allows kids to work with word problems and focuses on developing a better understanding of division. The students were doing division, but I have also created the sentence frames for you to do it with multiplication.

Astronauts

1. Start by having students work with manipulatives (concrete) and solve division or multiplication problems. If you want to use the setting of astronauts you can cut them out from the black line master. Solve problems like the following:Division Sentence Frame      Multiplication Sentence Frame2. You can use the table to choose different problems and a class.Table Division Table Multiplication3. After students are comfortable with solving problems using the manipulatives, you can give them the task to independently represent the problem with the pictures of the astronauts on a word problem page.Work Mat Array Word Problems    Multiplication Questions and Answer Sentence Frame     Division Question and Answer Sentence FrameStudents can do multiple problems,choosing easy or difficult problems to solve from the table. You can also later put the solved problems into a class book about division.When students are doing word problems they are interacting with a variety of the Mathematical Practice Standards:Kids Mulitplication Division1  Kids Mulitplication DivisionMP.1 Make sense of problems and persevere in solving them.MP.2 Reason abstractly and quantitatively.MP.6 Attend to precision.MP.7 Look for and make use of structure.Building the concept of division through solving word problems is so beneficial because the word problems connect the real world with math, engage the students, and support mathematical communication.How have you helped students connect the real world and the mathematical world?

Partitioning Shapes: Is it Geometry or Fractions?

Partitioning Shapes: Is it Geometry or Fractions?

How early should we teach words like half, thirds, and fourths to children? I know that I have often heard that we give young children things they are not developmentally ready for, and I agree. But when it comes to having language identify a concrete experience, I think children can handle it. I was measuring… Continue Reading

The Forty-Yard-Line is Opposite the Forty-Yard-Line?

The Forty-Yard-Line is Opposite the Forty-Yard-Line?

One of the Common Core Standards for Mathematical Practice includes a focus on students knowing and using correct mathematical language and using clear definitions in discussions with others. There are times when everyday words are used in special ways in school mathematics, and it is important that students come to understand the precise mathematical meaning… Continue Reading

Do We Really Understand What Math Is?

Do We Really Understand What Math Is?

What would you or your students say math is? Some common answers could be numbers, addition, subtraction . . . Below are the posters a group of AIMS trainers created answering that question. Most people don’t understand what math really is. If you have read some of my previous posts, you know my elementary and… Continue Reading