Early Numeracy Lessons • CRA Framework

Ten-Frames Classroom Lessons

Transition children from tedious one-by-one counting to instantaneous perceptual subitizing and spatial base-10 mental arithmetic.

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Classroom Demonstration Video: Lessons 1 & 2

Watch counters drop into 2×5 sockets to build numbers and slide to the carry shelf during addition.

Curriculum Demonstration (Lessons 1 & 2) Subitizing 1–10 • Regrouping 8 + 5 = 10 + 3 = 13

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Why Subitizing Unlocks Mental Math

Children who count on their fingers struggle when entering multi-digit addition because working memory is consumed by counting ticks. The 2×5 array teaches the brain to see "7" as "a group of 5 and 2 more" in under 200 milliseconds.

Lesson 01 Target Grades: K–1 • Standard: CCSS.MATH.CONTENT.K.OA.A.3

Instant Subitizing: Recognizing 7 as 5 + 2

Lesson Objective: Students identify quantities from 1 to 10 immediately without counting individual counters one-by-one, using the benchmark of 5.

Step-by-Step Classroom Investigation

1.

Fill the Top Row (Five Benchmark): Place 5 counters in row 1 (sockets 1, 2, 3, 4, 5). Point out: "Whenever the top row is full, you do not need to count. You immediately know that is 5."

2.

Add Two in the Bottom Row: Place 2 counters in row 0 (sockets 6 and 7).

3.

Read the Number Structure: Ask: "How many counters are there?" Prompt the student to answer without pointing at each token: "A full row of 5, plus 2 more, is 7."

4.

Count the Empty Spaces (Ten Complement): Ask: "How many empty sockets remain?" The student observes 3 empty spaces. Conclude: "7 and 3 make 10!"

Δ Key Misconception Diagnostic: "The Persistent Finger Counter"

The Common Error: When shown a frame with 6 counters, the child still touches each token: "1, 2, 3, 4, 5, 6."

The Physical Fix: Cover the top row with a flashcard. Ask: "You know the top row has 5. What is 1 more than 5?" Repeat with 2 more (7) and 3 more (8) until the child anchors their mental count directly from 5.

✓ Independent Transfer Check

Prompt: Show the child a ten-frame with 8 counters for exactly 2 seconds, then cover it. Ask: "How many counters did you see?" Expected explanation: "I saw 5 on top and 3 on the bottom, which is 8."

Lesson 02 Target Grades: 1–2 • Standard: CCSS.MATH.CONTENT.1.OA.B.3

The Make-Ten Strategy & Regrouping: 8 + 5 = 13

Lesson Objective: Solve addition problems that bridge 10 by physically moving counters to complete a ten, then transferring the bundle to the carry shelf.

Physical Make-Ten Regrouping: 8 archival white tokens in Frame 1 receive 2 terracotta counters to complete the ten (making 10!), while 3 remaining terracotta counters occupy Frame 2. Total: \(10 + 3 = 13\). 8 + 5 = 10 + 3 = 13

Step-by-Step Classroom Investigation

1.

Represent the First Addend: Place 8 counters in the base ten-frame.

2.

Identify How Many to Make 10: Ask: "How many counters do we need to make a full ten?" The student sees 2 empty sockets.

3.

Decompose the Second Addend: The second number is 5. Have the student take 5 counters in hand. Take 2 of them to fill the empty sockets in the frame. Ask: "How many are left in your hand?" The student has 3 remaining.

4.

Execute the Physical Carry: The base ten-frame is now 100% full (ten ones). Consolidate the 10 and move 1 counter up to the +10 Elevated Carry Shelf. Place the 3 remaining counters in the active frame.

5.

Read the Regrouped Sum: Read the sum from the physical tiers: "One ten and three ones is thirteen (\(10 + 3 = 13\))." \[ 8 + 5 = 8 + (2 + 3) = (8 + 2) + 3 = 10 + 3 = 13 \]

Δ Key Misconception Diagnostic: "Lost Carried Tens"

The Common Error: During written column addition, students write down 13 under the units column or forget to add the carried ten.

The Physical Fix: The elevated shelf gives "carrying" a literal vertical elevation. The student physically moves their arm up to place the token on the shelf, creating an embodied spatial memory of place-value regrouping.

✓ Independent Transfer Check

Prompt: Solve \(7 + 6\) using the make-ten strategy. First state how many counters are needed to make 10, then how many remain, and show the final result on the dual-tier tray.

// CURRICULUM & STATION GUIDES

Pre-Generated Ten-Frame Worksheets & Standards

CCSS K.CC.B.4 • 1.NBT.B.2 • 1.OA.C.6

The Ten-Frames Studio pairs directly with our 120-edition library of publication-grade, 2-page classroom station guides. Designed for early numeracy rotations, each guide features CAD diagrams, authentic drawing workspaces, and 4-tier teacher scoring rubrics.

📝 120 Station Worksheets Download Form A & Form B PDFs for Kindergarten KA Ch 1–2 and Grade 1A Ch 8 (Making 10).

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🎯 Standards Alignment Matrix Cross-reference chapter-by-chapter with Bridges, Big Ideas, and Singapore Math.

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🧑‍🏫 Teacher Facilitator Guide Subitizing diagnostics, 30-second intervention cues, and carry-shelf rotation protocols.

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Download 36-Page Curriculum Sample (.PDF) ↓