An advanced number fluency lesson combining higher-range shape tracking up to 24, tens-and-ones place value grouping up to 30, multi-interval skip counting (3s, 4s, 6s, off-decade 10s, reverse 5s), bridging-10 visual fast facts up to 20, and applied real-world word problem story worksheets with complete teacher keys.
Instructional Focus: Bridging from teen numbers into the twenties establishes that every 10 is an identical modular bundle. Once students conceptualize 20 as "two tens," place value comprehension accelerates rapidly for all double-digit operations.
Teacher Answer Key Part 3 Solutions (Level 2)
Advanced Skip Counting Tracks • Key
Solutions for reduced scaffolds, 6-blank tracks, and backward decade countdown.
Objective: Complex Skip Count
Standard: 2.NBT.A.2
Skip Count by 2s to 20 Blanks: 4, 6, 10, 14, 16, 20
2 4 6 8 10 12 14 16 18 20
Skip Count by 3s to 30 Blanks: 3, 9, 15, 18, 24, 30
3 6 9 12 15 18 21 24 27 30
Skip Count by 4s to 40 Blanks: 8, 12, 20, 28, 32, 40
4 8 12 16 20 24 28 32 36 40
Skip Count by 5s to 50 Blanks: 5, 15, 20, 30, 40, 45
5 10 15 20 25 30 35 40 45 50
Countdown by 10s (100 to 10) Blanks: 80, 60, 40, 20
100 90 80 70 60 50 40 30 20 10
Multi-Pattern Detective Solution: 24 (or 36)
Common Multiple Insight: Multiples of 3 between 20 and 40 are 21, 24, 27, 30, 33, 36, 39. Multiples of 4 are 24, 28, 32, 36, 40. Both 24 and 36 appear on both tracks. Either answer is fully correct!
Teacher Answer Key Part 4 Solutions (Level 2)
Advanced Visual Fast Facts • Key
Solutions for domino doubles (6+6, 7+7), ten-frame bridging to 15, and teen subtraction.
Objective: Advanced Fluency
Standards: 1.OA.C.6 / 2.OA.B.2
1. Domino Doubles & Near-Doubles Solutions
6 + 6 (Double)
12
Two columns of 3
6 + 7 (Near Double)
13
6 + 6 + 1 = 13
7 + 7 (Double)
14
6-pip + center pip
7 + 8 (Near Double)
15
7 + 7 + 1 = 15
2. Ten-Frame Bridging Solutions
A. 8 + 7 = 10 + 5 = 15
8 takes 2 from 7 to fill the first ten-frame. 5 remain in frame 2.
Fill-ins: 10 + 5 Total = 15
B. 9 + 6 = 10 + 5 = 15
9 takes 1 from 6 to fill the first ten-frame. 5 remain in frame 2.
Fill-ins: 10 + 5 Total = 15
3. Take-Away Subtraction Beyond 10 Solutions
14 − 6
14 counters, 6 crossed out
8 left
15 − 7
15 counters, 7 crossed out
8 left
4. Advanced Sprint Solutions Mental Math Fluency
8 + 6
14
9 + 7
16
16 − 8
8
15 − 6
9
Advanced Fluency Rubric
Emerging (1-2) Bridges to 10 with physical counters; counts all from 1 beyond 12.
Developing (3) Uses near-doubles (6+7); skip-counts forward with minimal pauses.
Proficient (4) Automatic recall of doubles through 7+7; smoothly skip counts backward.
Card 13 • Bridge 10 8 + 5
8 + 5 = ?
10 + 3 = ?
Answer: 13
Card 14 • Bridge 10 8 + 7
8 + 7 = ?
10 + 5 = ?
Answer: 15
Card 15 • Bridge 10 9 + 4
9 + 4 = ?
10 + 3 = ?
Answer: 13
Card 16 • Bridge 10 9 + 6
9 + 6 = ?
10 + 5 = ?
Answer: 15
Card 17 • Bridge 10 7 + 6
7 + 6 = ?
7 needs 3 to make 10
6 breaks into: 3 + 3
10 + 3 = 13
Decompose 6 into 3 + 3
Answer: 13
Card 18 • Bridge 10 9 + 8
9 + 8 = ?
9 needs 1 to make 10
8 gives 1, leaving 7
10 + 7 = 17
Decompose 8 into 1 + 7
Answer: 17
Bridging insight: Prompt students to explain which number gives parts to the other to make 10.
Set 4 • Cards 19–24
Skip Chains & Take-Away Subtraction
Identify pattern jumps • Cross out to subtract
Card 19 • Skip Count +2 Pattern
What is the next number?
12 ➔ 14 ➔ 16 ➔ ?
Add 2 to 16
Answer: 18
Card 20 • Skip Count +3 Pattern
What is the next number?
15 ➔ 18 ➔ 21 ➔ ?
Add 3 to 21
Answer: 24
Card 21 • Skip Count +4 Pattern
What is the next number?
20 ➔ 24 ➔ 28 ➔ ?
Add 4 to 28
Answer: 32
Card 22 • Countdown −10 Pattern
Countdown by 10s:
70 ➔ 60 ➔ 50 ➔ ?
Subtract 10 from 50
Answer: 40
Card 23 • Take-Away Cross Out
14 − 6 = ?
✕ ✕ ✕ ✕ ✕ ✕
Count remaining black dots
Answer: 8
Card 24 • Take-Away Cross Out
15 − 7 = ?
✕ ✕ ✕ ✕ ✕ ✕ ✕
Count remaining black dots
Answer: 8
Fluency station activity: Sort flashcards into "Got it Fast" and "Still Practicing" stacks to target individual practice.
5 Library Book Checkout (Near-Doubles) Near-Doubles
On Monday, Ms. Rivera read 8 storybooks to her class. On Tuesday, she read 9 storybooks. Use the doubles plus 1 strategy to find the total books read.
Mental Math Thinking:
Think: 8 + 8 = 16. Since 9 is 1 more than 8, add 1 more!
(8 + 8) + 1 = 16 + 1 =
Equation: 8 + 9 = Total Books:
6 Arcade Token Quest (Multi-Step Challenge) 2-Step Problem
Marcus had 18 game tokens. He spent 6 tokens playing basketball hoop games. Then, he won a prize challenge that awarded him 7 bonus tokens. How many tokens does Marcus have now?
Step 1: Tokens Spent
Subtract 6 tokens from 18:
18 − 6 = tokens left
Step 2: Add Bonus Tokens
Add 7 bonus tokens to Step 1 answer:
+ 7 =
Final Answer: Marcus now has
arcade tokens
Differentiation Strategies:
Support (Tier 2) Provide plastic counters or 10-frame mats for Story 6 to physically move tokens through each step.
Extension (Tier 1+) Ask students to write their own two-step story problem using the skip-counting track from Story 4.
Applied Problem Solving within 20 (NJSLS.1.OA.A.1)
Domain Score: / 2 pts
Mateo has 9 blue marbles. Priya gives him 7 green marbles. How many marbles does Mateo have in all?
