Lesson 4

Counting on the Number Line

Est. Class Sessions: 2–3
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Mathematical Standards

1.NBT.A
Extend the counting sequence. (1.NBT.A.1)

Standards for Mathematical Practice

MP1.
Make sense of problems and persevere in solving them.
MP2.
Reason quantitatively.
MP5.
Use appropriate tools strategically.
MP6.
Attend to precision.

Students locate numbers on a number line and use number lines in counting activities. Students make connections between points on a number line and the corresponding number of connecting cubes. They practice reading and writing numbers.

Content in this Lesson

  • Using a number line and connecting cubes to count.
  • Counting a small collection of objects [E1].
  • Counting on from a given quantity [E4].
  • Representing a quantity of objects on a number line [E7].
  • Connecting representations of quantities [E6].
  • Reading and writing numbers to 20 [E5].
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Materials for Students

Daily Practice and Problems Lesson Homework Assessment

Student Books

Student Activity Book

Teacher Resources

Teacher Guide - digital

Supplies for Students

desk number line (0–40)
train of connecting cubes. See Materials Preparation.
20 connecting cubes

Materials for the Teacher

Display of Writing Numbers for Number Lines (Student Activity Book) Page 5–6
Display of Math Hoppers (Student Activity Book) Pages 7–8
Unit 1 Assessment Record
class number line (0–130)
meterstick or pointer

Materials Preparation

Prepare Number Lines. Tape a desk number line (0–40) on each student's desk. Post the class number line (0–130) in the room where all students can see it. Consider hanging the number line at board-ledge level. This number line will be used throughout the year. Students should be able to reach it (with a pointer if necessary) so they can use the number line when they explain their reasoning to the class. Allow some room to the left of zero at the beginning of the number line.

Prepare Trains of Connecting Cubes. Prepare as many trains of connecting cubes as the number of students in the class. For example, for a class of 25 students, build trains with 1–25 cubes. Alternate colors in groups of five so that students can easily use the counting-on strategy to find the number of cubes in their trains. For example, the trains with five or fewer cubes will be made of all red cubes. The sixth train will be made of five red cubes and one yellow cube. The seventh train will be made of five red cubes and two yellow cubes. The tenth train will be made of five red cubes and five yellow cubes. The eleventh train will be made of five red cubes, five yellow cubes, and one green cube. If the trains become too large to stay together, break them into groups of ten and remainders. See Figure 1.


Figure 1: Alternating colors of cubes in groups of 5 to facilitate counting on

Assessment in this Lesson

Assessment Expectation Assessed
Observe
Creating a Number Line
activity
Teacher Guide - digital
E1.
Count a collection of 0–20 objects.
E2.
Identify the quantity of a small collection of objects without counting.
E4.
Count on from a given number.
E6.
Connect representations of quantities (e.g., tallies, number lines, counters, symbols).
Writing Numbers for Number Lines
Student Activity Book
Pages 5–6
E5.
Read and write numbers to 20.
E7.
Represent a number of objects on a number line, with counters, or with tallies.