Number Sequences Math Worksheet

Students complete whole-number and decimal sequences and describe their rules. Open prompts then ask them to create sequences from supplied or self-chosen starting numbers.
Grades
Grades 3–5
File type
PDF
Preparation
Print ready

Updated Apr 02, 2023

Subject
Math
Topic
Number sequences, Missing numbers
Resource types
Worksheets
Preparation
Print ready
Standards
4.OA.C.5

Product description

From the author

If you want to give students extra practice with skip counting, I have just the resource for you.

What You Get:

This is a Number Sequences Worksheet that is ideal for 3rd grade students who have been introduced to more complex sequencing patterns. It is a 2-page printable with 3 sets of problems that increase in difficulty. The increasing difficulty allows you to scaffold instruction and model problems to guide students through completing this worksheet.

How To Implement This Resource:

You can print off enough copies of this worksheet for each student to have. You may also choose to print only a few copies and laminate those. If you choose to laminate them, students can use dry erase markers to write answers. This is a great way to turn this into a math center or small group activity.

It can be used during or after a sequencing lesson as a quick informal assessment to determine how well students are grasping the concept.

In the first section, students will complete three different number sequences and write the rule or pattern for each one. The sequences include:

-- 4 digit numbers

-- 3 digit numbers counting down

--Decimals counting down

In the second section, students will create their own number sequencing for 6 different starting numbers. Be sure students write the rule or pattern for each one.

In the final section, students will write 10 different number sequencing while also coming up with the starting number. They will write the rule or pattern for each one.

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In the classroom

Teaching tips & learning objectives

Learning objectives

  • Create a whole-number or decimal sequence using a chosen constant step

  • State the rule and compare successive terms

  • Explain how a starting value and increment determine later terms

Teaching tips

  • Model how consecutive terms reveal a sequence’s step, then check that every supplied term follows it.

  • Use both whole-number and decimal steps when students create their own sequences.

  • Have partners continue each other’s sequences using the written rule.

Skills covered

  • Sequence construction — learners choose a constant step and generate whole-number or decimal terms.

  • Numerical reasoning — learners explain how the starting value and increment determine each term.

Good to know

Questions teachers ask about this resource

How can students find the rule in the third sequence?

The consecutive terms 6.9 and 6.8 show a decrease of 0.1. Starting at 7.4, subtract 0.1 each time to obtain 7.3, 7.2, 7.1, 7.0 and 6.9, then continue from 6.8.

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Curriculum

Standards, concepts & topics

Standards

  • 4.OA.C.5 — Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. For example, given the rule “Add 3” and the starting number 1, generate terms in the resulting sequence and observe that the terms appear to alternate between odd and even numbers. Explain informally why the numbers will continue to alternate in this way

Core concepts

  • Number sequences

  • Patterns

  • Decimals

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