Formative Instructional and Assessment Tasks

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Formative Instructional and Assessment Tasks

NBT Task 1b


Number and Operations in Base Ten


Understand place value.


2.NBT.1: Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:

a. 100 can be thought of as a bundle of ten tens — called a “hundred.”

b. The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).


Number 604, pre-grouped base ten materials


Show the number 604 to the student. Ask: What is this number? Say: Let’s pretend we have this many cubes in front of us. Do you think that there would be enough to make a hundred? How many hundreds do you think there would be? Do you think that there would be some leftover? How many cubes do you think would be leftover?
Provide the student with the pre-grouped base ten materials. Say: Use these materials to build this number (point to 604). After the student has finished ask: How many hundreds are there? Are there some leftover? How many are leftover?
Point to the digit in the hundreds place (6). Say: Show me with your base ten materials this amount.
Point to the digit in the tens place (0). Say: Show me with your base ten materials this amount.
Point to the digit in the ones place (4) and say: Show me with your materials this amount.
If there are still cubes left over, point to the remaining cubes and ask: Why do you think there are still cubes leftover?

Continuum of Understanding

Developing Understanding

  • Inaccurately predicts the number of hundreds and/or leftovers in 604.

  • Incorrectly builds 604 with base ten materials.

  • Incorrectly shows the correct amount for a digit in the hundreds, tens, and/or ones place.

  • Has cubes leftover after showing all three amounts.

  • Shows 600 cubes for the digit “6”.

  • Shows 0 cubes for the digit “0”.

  • Shows 4 cubes for the digit “4”.

Complete Understanding

  • Predicts 6 hundreds and 4 leftovers.

  • Builds 604 with base ten materials correctly.

Standards for Mathematical Practice

1. Makes sense and perseveres in solving problems.

2. Reasons abstractly and quantitatively.

3. Constructs viable arguments and critiques the reasoning of others.

4. Models with mathematics.

5. Uses appropriate tools strategically.

6. Attends to precision.

7. Looks for and makes use of structure.

8. Looks for and expresses regularity in repeated reasoning.


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