N/S MULTIPLYING AND DIVIDING

NS/N: MULTIPLYING AND DIVIDING

BIG IDEAS:

(taken from “Big Ideas by Dr. Small”):
  1. A personal “invented” algorithm is often more meaningful and sometimes equally efficient as a conventional algorithm.
  2. Thinking of numbers as factors or multiples of other numbers provides alternative representations of those numbers.
  3. Just as multiplication and division are intrinsically related, so are factors and multiples.

STUDENT LEARNING GOALS:

GOAL: I can use strategies to estimate products and quotients.
GOAL: I can multiply two-digit numbers.
GOAL: I can divide three-digit numbers by one-digit numbers.

CURRICULUM EXPECTATIONS:

  • multiply two-digit whole numbers by two-digit whole numbers, using estimation, student-generated algorithms, and standard algorithms; – divide three-digit whole numbers by one-digit whole numbers, using concrete materials, estimation, student-generated algorithms,and standard algorithms;
  • solve problems involving the addition, subtraction, and multiplication of whole numbers, using a variety of mental strategies (e.g., use the commutative property: 5 x 18 x 2 = 5 x 2 x 18, which gives 10 x 18 = 180);
  • use estimation when solving problems involving the multiplication and division of whole numbers, to help judge the reasonableness of a solution.
  • multiply decimal numbers by 10, 100, 1000,and 10 000,and divide decimal numbers by 10 and 100, using mental strategies (e.g., use a calculator to look for patterns and generalize to develop a rule);

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