Instructional Focus: Students will multiply and divide whole numbers and decimals using concrete models and strategies based on place value and apply this knowledge to multiply and dividing fractions. They will relate knowledge of operations with fractions to solving problems involving finding the area of rectangles with fractional side lengths.
Fluency Expectation: Fluently multiply two two-digit whole numbers using the standard algorithm
Standards for Mathematical Practice- Parents’ Guide
The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students.
As your son or daughter works through homework exercises, you can help him or her develop skills with these Standards for Mathematical Practice by asking some of these questions:
1. Make sense of problems and persevere in solving them.
- How would you describe the problem in your own words?
- How did you tackle similar problems?
- Would it help you to create a diagram?
- Make a table?
- Draw a picture?
2. Reason abstractly and quantitatively.
- Can you tell why that is true?
- How did you reach your conclusion?
- How does your answer connect to the question?
- Does it make sense?
3. Construct viable arguments and critique the reasoning of others.
- Can you convince me that your answer makes sense?
- Tell me what your answer means.
- If I told you I think the answer should be (offer a wrong answer), how would you explain to me why I’m wrong?
4. Model with mathematics.
- How would you model the situation with a diagram, picture, table, graph, equation or words?
- Can you use color, words, or diagrams to show the connections between these ideas?
- How do the different models connect or related to each other (i.e. table to graph, graph to equation)?
5. Use appropriate tools strategically.
- What tools will you need?
- What strategies will you use?
- Will a calculator help?
- Will paper and pencil help?
- Will using a number line, table, diagram or picture help?
6. Attend to precision.
- Can you guess and check?
- Can you represent the definition or rule?
- What units of measure are you using? (for measurement problems)
7. Look for and make use of structure.
- What relevant information in the problem shows you what relationship (i.e. change, group, compare, ratio, or proportion) exists between the elements or parts of the problem?
- How do you know that your rule or equation always works?
- Are you actively comparing, reflecting on, and discussing multiple solution methods?
8. Look for and express regularity in repeated reasoning.
- What pattern(s) do you notice? How would you describe the pattern(s)?
- What calculations, patterns, or principles are repeated?
- What mathematical principles will help you in solving the problem?
** Details for each practice may be found at: http://mdk12.msde.maryland.gov/instruction/academies/resources/Mathematics/MathD1/Standards_for_Mathe matical%20_Practice.pdf