Section B: Practice Problems Tens and Ones

Section Summary

Details

We learned that two-digit numbers are made up of tens and ones.

We represented two-digit numbers in many different ways.

Base ten drawing. 6 tens. 5 ones.

6 tens and 5 ones

65

We added two-digit numbers by thinking about counting on by 10 or adding more tens.

Base-ten drawings. 4 tens, 2 ones and 5 tens.

Problem 1 (Lesson 6)

  1. How many connecting cubes are there?

    Connecting cubes.

  2. How many connecting cubes are there?

    Connecting cubes. 2 towers of 10 cubes. 6 single cubes.

  3. Which collection did you prefer to count? Why?

Problem 2 (Lesson 7)

  1. How many connecting cubes are there?
    Show your thinking using drawings, numbers, or words.

    Connecting cubes. 4 towers of 10 cubes. 8 single cubes.

  2. How many connecting cubes are there?
    Show your thinking using drawings, numbers, or words.

    Connecting cubes. 5 towers of 10 cubes. 8 single cubes.

  3. How are the numbers the same? How are they different?

Problem 3 (Lesson 8)

Circle 3 representations of 63.

  1. Base ten diagram. 6 tens. 3 ones.
  2. Base ten diagram. 3 tens. 6 ones.

  3. 6 tens and 3 tens

  4. 6 tens and 3 ones

Problem 4 (Lesson 9)

Show the number of connecting cubes in as many ways as you can.

Connecting cubes. 3 towers of 10 cubes. 7 single cubes.

Problem 5 (Lesson 10)

Write the number that matches each representation.

  1. Connecting cubes. 2 towers of 10 cubes. 5 single cubes.
  2. Connecting cubes. 5 towers of 10 cubes. 2 single cubes.
  3. Base-ten diagram. 6 tens. 1 one.

Problem 6 (Lesson 11)

Find the number that makes each equation true.
Show your thinking using drawings, numbers, or words.

Problem 7 (Lesson 12)

Find the value of each expression.

  5. What patterns do you notice?

Problem 8 (Exploration)

Tyler drew this representation of 57.

Base ten diagram. Rectangles, 7, each labeled with 1. Squares, 5, each labeled with 10.

What do you think of Tyler’s representation?

Problem 9 (Exploration)

Connecting cubes. 4 towers of 10 cubes. More cubes behind a piece of paper,  3 cubes visible,  not as tall as a full tower.

How many connecting cubes could there be in the image?