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### Math Investigations: Unit 3

Math Investigations
Current Unit: Multiple Towers and Division Stories

About the Math in this Unit:
Students develop strategies for solving multiplication problems with two-digit numbers and deepen their understanding of the operation of division by focusing on the relationship between multiplication and division.
In this unit, students will:
• use story contexts and multiple towers to investigate the relationship between numbers and their factors
• practice multiplying by 10 and multiples of 10
• break problems into smaller parts that can be multiplied easily
• find the multiples of two-digit numbers
• gain fluency with all multiplication combinations to 12 x 12
• solve, represent, and discuss division story problems, including some that have a remainder.
The above information is from the Investigations website.

Family Letters for this Unit:

Assessment in this Unit:
Assessment #1:
• On the first assessment, students will be asked to solve one multiplication problem, using the break-apart strategy.
• Students will also be expected to draw an array to show one way to break apart the problem.
Assessment #2:
• On the second assessment, students will be expected to write a story to go along with a given division problem.
• Students will be expected to solve the division problem using the strategies we've been working on.
Assessment #3:
• On the third assessment, students will be expected to solve 30 multiplication combinations in three minutes.
End-of-Unit Assessment:
There will be a multiple choice portion and an open-ended portion of the End-of-Unit Assessment.
On the open-ended portion of the assessment, the children will be asked to solve three problems:
• Two multiplication problems involving 2-digit numbers. We will be expecting students to demonstrate an understanding of the strategies we have been working on (breaking apart the numbers, doubling and halving, the "zero trick", and visual representations like arrays). Students will also be expected to show their work.
• One division problem with a remainder. Students will be expected to create a story context for the problem, solve the problem, and deal with the remainder in a way that would be appropriate in the story context the student created. We will be looking for students to show me that they can apply the strategies we have been working on, and show their work.
• **Please note: the standard paper-and-pencil algorithms are not a part of this unit. They will be taught in the next multiplication & division unit. If your child already knows how to use them, that's great. Please encourage your child to broaden his or her thinking and try other strategies. On the assessment, we will be looking for the students' ability to use the strategies we have worked on in class.