K.6 Numbers 0–20

Unit Goals

  • Students answer “how many” questions and count out groups within 20. They understand that numbers 11 to 19 are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones. They write numbers within 20.

Section A Goals

  • Count groups of up to 20 objects.

Section B Goals

  • Understand numbers 11-19 as 10 ones and some more ones.

Section C Goals

  • Count groups of images up to 20.
  • Represent quantities up to 20 with a written number.
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Section A: Count Groups of 11-20 Objects

Problem 1

Exploration

​​​How many shapes do you see on the soccer ball?

Soccer ball.

Solution

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Problem 2

Exploration

How many soccer players are there in the picture?

How did you count them?

Soccer game on soccer field.

Solution

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Section B: 10 Ones and Some More

Problem 1

Draw a line from each picture to the number that shows how many there are.
A:
Fingers showing 10.
Fingers showing 4.

B:
Fingers showing 10.
Fingers showing 6.

C:
Ten frame, full. Below, 8 counters.

D:
Ten frame, full. Below, 3 counters.
1:

13

2:

14

3:

16

4:

18

Solution

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Problem 2

Fingers showing 10.
Fingers showing 3.

How many fingers are there?

Show how many fingers there are using a 10-frame.

Solution

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Problem 3

Write a number to show how many dots there are.

Ten frame, full. Below, 4 counters.

_______________

Ten frame, full. Below, 7 counters.

_______________

Solution

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Problem 4

Draw more dots to show each number.

  1. 11

    Ten frame, full.

  2. 19

    Ten frame, full.

  3. 15

    Ten frame, full.

Solution

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Problem 5

Choose an expression that matches the dots.

Ten frame, full. Below, 7 counters.

\(10 + 5\)

\(10 +2\)

\(10 +7\)

Explain how the expression matches the dots.

Solution

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Problem 6

Fill in the blanks to make each equation true.

  1. \(10 + 7 = \underline{\hspace{1.4 cm}}\)

  2. \(\underline{\hspace{1.4 cm}} + \underline{\hspace{1.4 cm}} = 18\)

  3. \(\underline{\hspace{1.4 cm}} + \underline{\hspace{1.4 cm}} = 15\)

Solution

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Problem 7

Exploration

What are some different ways you know how to show 16?

What is your favorite way to show 16?

Share with a partner.

Solution

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Problem 8

Exploration

  1. Arrange 18 dots in a way that helps you see there are 18.

  2. Arrange 18 dots in a way that makes it hard to see how many there are.

  3. Explain why you chose your arrangements.

Try again with other numbers up to 19.

Solution

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Section C: Count Groups of 11–20 Images

Problem 1

  1. How many triangles are there?

    Triangles. 2 rows of 7.

    There are _______________ triangles.

  2. Lin wrote the equation \(10 + 2 = 12\) to show the number of hexagons.

    Color the hexagons to show Lin's equation.

    Hexagons. 3 rows, 4 in each row.

Solution

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Problem 2

  1. How many squares are there?

    Squares.

    There are _______________ squares.

  2. How many circles are there?

    Two rows of circles. First row, 10. Second row, 10.

    There are _______________ circles.

Solution

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Problem 3

Exploration

Pick some of the flowers in the picture.

Drawing of plants and flowers.

  1. How many are there?

  2. Share your answer with a partner.

    Can you guess which flowers your partner counted?

Solution

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Problem 4

Exploration

Pick a shape in one of the designs and figure out how many there are.

Exploration design.

Solution

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