Counting to 20: Forward and Backward

Active learning builds deep understanding of counting by engaging students in hands-on, pattern-seeking tasks. This topic requires students to move beyond rote memorization and see the predictable structure behind our number system, which only happens when they interact with materials in meaningful ways.

• Year 1
• Mathematics
• 3 activities
• 15 min–45 min

Learning Objectives

1. Identify the number that comes immediately before and after a given number up to 20.
2. Demonstrate counting forwards from any number up to 20.
3. Demonstrate counting backwards from any number up to 20.
4. Compare the sequence of numbers when counting forwards versus backwards within 20.

Stations Rotation

⏱ 45 min·Small Groups

Stations Rotation: Pattern Detectives

Set up three stations where students find patterns: one with a 100s chart and transparent counters, one with physical base-ten blocks, and one with a digital number line. Students move in small groups to identify what happens to the 'ones' column as they move down the chart.

Prepare & details

Explain the pattern when counting forwards from 1 to 20.

Facilitation Tip: During Pattern Detectives, circulate and ask students to verbalize the pattern they see, such as 'The ones digit is always the same in this row.'

Setup: Tables/desks arranged in 4-6 distinct stations around room

Materials: Station instruction cards, Different materials per station, Rotation timer

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Think-Pair-Share

⏱ 15 min·Pairs

Think-Pair-Share: The Mystery of Zero

Show students a sequence of numbers with a missing zero and ask what would happen if zero disappeared from our world. Students discuss in pairs how we would write '10' or '100' without it, then share their theories with the class.

Prepare & details

Differentiate the process of counting backwards from 20 to 1.

Facilitation Tip: During The Mystery of Zero, pause pairs to ask, 'Why does zero feel different when counting backward from 10?'

Setup: Standard classroom seating; students turn to a neighbor

Materials: Discussion prompt (projected or printed), Optional: recording sheet for pairs

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

Inquiry Circle

⏱ 30 min·Whole Class

Inquiry Circle: Giant Number Line

Clear a space and have students work together to place number cards from 0 to 100 in the correct order across the room. They must justify where a number like 45 goes by looking at the numbers already placed (44 and 46).

Prepare & details

Analyze the importance of knowing number order for everyday tasks.

Facilitation Tip: During Giant Number Line, have students physically step forward and backward to reinforce the direction of counting.

Setup: Groups at tables with access to source materials

Materials: Source material collection, Inquiry cycle worksheet, Question generation protocol, Findings presentation template

• Analyze
• Evaluate
• Create
• Self-Management
• Self-Awareness

Teaching This Topic

Focus on the transition points at 10 and 20, using visual and physical models to build number sense. Avoid teaching counting as isolated facts; instead, emphasize the predictable pattern in the ones digit. Research shows that students who understand these transitions develop stronger mental computation skills and fewer errors in later grades.

What to Expect

Students will confidently count forward and backward within 20, explain the repeating pattern in the ones place, and correctly identify numbers before and after any given number up to 20. They will also verbalize why the pattern continues beyond 10 or 100.

Watch Out for These Misconceptions

Common Misconception

During Pattern Detectives, watch for students who stop counting after reaching 10 or 100, treating these as final numbers rather than transition points.

What to Teach Instead

Have students use the 100s chart to trace the pattern from 10 to 11, then from 20 to 21, asking them to identify the repeating ones digit and explain why the pattern continues.

Common Misconception

During Collaborative Investigation, watch for students who confuse 'teen' numbers like 13 and 31, reversing the tens and ones digits.

What to Teach Instead

Ask students to physically build each number using bundles of ten sticks and loose ones, then compare the two numbers side by side to feel the difference between one ten and three ones versus three tens and one one.

Assessment Ideas

Quick Check

After Giant Number Line, point to a number between 1 and 20 and ask, 'What comes next?' Then point to another number and ask, 'What comes before?' Record correct responses to confirm students can count forward and backward.

Exit Ticket

During The Mystery of Zero, give each student a card with a number between 5 and 15. Ask them to write the number that comes directly after and the number that comes directly before on the back of the card before leaving the station.

Discussion Prompt

After Pattern Detectives, ask students, 'If you were counting the steps on a staircase, would you count forwards or backwards? Why?' Then ask, 'If you were counting down the seconds until a ball bounces, what direction would you count? Explain your choice using the patterns we noticed today.'

Extensions & Scaffolding

• Challenge: Give students a 100s chart and ask them to predict what the number 30 would look like, then verify by adding two more rows.
• Scaffolding: Provide number cards with tactile dots for students who struggle with visualizing the pattern in the ones place.
• Deeper exploration: Ask students to create their own number line from 1 to 30 using sticky notes, then identify and explain the repeating pattern in the ones digit.

Key Vocabulary

Counting forwards	Saying numbers in increasing order, starting from a smaller number and moving to a larger number.
Counting backwards	Saying numbers in decreasing order, starting from a larger number and moving to a smaller number.
Number sequence	The order in which numbers appear, following a specific pattern of increase or decrease.
Digit	A single symbol used to write numbers, such as 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.