Math week 7Number and Algebraic Thinking (Mathematics)

Big RocksWeek 7

● Represent and solve multi-step addition and subtraction word problems● Focus on estimation as a way to determine reasonableness

upcoming week 8● Use bar diagrams to represent and solve multiplicative comparison situations (Thinking Blocks:

http://www.mathplayground.com/thinkingblocks.html)

● Represent and solve multiplicative comparison situations

Possible assessments

69,948 of the 146,456 students enrolled in Montgomery County Public Schools (MCPS) are in Pre–K–Grade 5. The rest of the students are enrolled in middle school or high school. There are 31,276 middle school students. How many more high school students than middle school students are enrolled in MCPS?

The fourth grade teachers began the year with 617,458 sheets of notebook paper. Fourth grade students used 51, 769 during the first quarter. How many sheets are left for the students to use throughout the year?b. What would happen if a parent donated an additional 4,589 more sheets of paper to the fourth grade? Describe the steps you would take to find out the new total number of sheets.

Tasks that support the assessment (in order)

1) Multi-step word problem in which students use information from the Flying High data table

Focus:what might be your first step in solving this problem (e.g., determining the sum of the distances that Kari traveled)? What equation could you write to represent this step of the problem (e.g., k= 867 + 796)? Provide time for students to finish solving the problem. As students work, ask questions such as: How do you know your answer is reasonable (e.g., I used rounding to estimate the sums and differences; this helps me know my answer makes sense.)What strategies helped you represent and solve the problems (e.g., In #4, I had to double the distances, so I estimated my answer by rounding 901 to the nearest hundred, which is 900; 900 doubled is 1,800.)

2) Problem Solving: Population of Counties in Maryland, using the table from Population of Counties in Maryland.

3)Media Center Inventory of Books and ask: What do you notice about the schools’ data from their inventory of books?Focus:What is unknown? What is a reasonable estimate ?How will considering a reasonable estimate for each school’s total for fiction and non-fiction books help you as you are solving this problem Why did you use the standard algorithm in this step of the problem Facilitate a discussion in which students share their solutions, strategies, and reasoning about this problem.

What is the new learning focus?Being able to interpret word problems (i.e. what is the unknown, what is the question ,identify relevant information, operation needed, more than two steps, reasonableness, equations).

Student needs

● What strategy to use?

● explicit modeling

How to Model?

Choose several strategies

Additional resources

Thinking Blocks

Deck B Cards: Two problems per page.One problem per page with space for students to explain and show their work.Deck B Sheets

Open-Ended Math ProblemsCollection of problems that lend themselves to more than one way of solving.

Cartoonsee below