Page 71 - NUMINO TG_4A
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Activity 2 Complete the Puzzle
jOb ective Solve Alphametics by using addition and subtraction. (1)
1. Textbook Instructions Activity 2 Complete the Puzzle
Students will use addition and subtraction to 1 . Solve the train puzzle.
solve each Alphametics puzzle.
AB A=1 C=9 B=2
1. Introduce Alphametics to students and +CC
show them how to solve Alphametics puzzles. 1B 1B 12
-The same letter represents the same number, AAA +CC +99 +99
and different letters represent different 111 111 111
numbers.
-The first digit for each number cannot be 0. Find A. Find C. Find B.
Since two 2-digit
Find A Since the digits Since the digits
The addition of two 2-digit numbers results numbers are
in a 3-digit number. So A must be 1. in the tens places in the ones places
Replace each A with 1. added to make a add up to 10, add up to 11,
Find C 3-digit number, C = 9. B = 2.
Out of the remaining letters, find the letter A = 1.
that is repeated more. The C in the tens
place must be added to 1 to make a 2-digit AA C= 1 A= 9 B= 8
number. C represents 9. +AA
Find B AA 99 99
The number that is added to 9 to get 11 is CAB +AA
2. 1AB +9 9 +99
1 9B
198
34
2. Build Understanding
Solving problem 1
Step 1. Find C
The addition of two 2-digit numbers result in a 3-digit number. So C must be 1.
Step 2. Find A
A is repeated more times than B. Find A. When A is added to A, it results in a 2-digit number. The following
are possible solutions: (5, 5), (6, 6), (7, 7), (8, 8), (9, 9).The only number that allows all the A’s to be the same
digit is 9. Replace all A’s with 9.
Step 3. Find B
9 9 18. B is 8.
054 NUMINO Teacher s Guide
jOb ective Solve Alphametics by using addition and subtraction. (1)
1. Textbook Instructions Activity 2 Complete the Puzzle
Students will use addition and subtraction to 1 . Solve the train puzzle.
solve each Alphametics puzzle.
AB A=1 C=9 B=2
1. Introduce Alphametics to students and +CC
show them how to solve Alphametics puzzles. 1B 1B 12
-The same letter represents the same number, AAA +CC +99 +99
and different letters represent different 111 111 111
numbers.
-The first digit for each number cannot be 0. Find A. Find C. Find B.
Since two 2-digit
Find A Since the digits Since the digits
The addition of two 2-digit numbers results numbers are
in a 3-digit number. So A must be 1. in the tens places in the ones places
Replace each A with 1. added to make a add up to 10, add up to 11,
Find C 3-digit number, C = 9. B = 2.
Out of the remaining letters, find the letter A = 1.
that is repeated more. The C in the tens
place must be added to 1 to make a 2-digit AA C= 1 A= 9 B= 8
number. C represents 9. +AA
Find B AA 99 99
The number that is added to 9 to get 11 is CAB +AA
2. 1AB +9 9 +99
1 9B
198
34
2. Build Understanding
Solving problem 1
Step 1. Find C
The addition of two 2-digit numbers result in a 3-digit number. So C must be 1.
Step 2. Find A
A is repeated more times than B. Find A. When A is added to A, it results in a 2-digit number. The following
are possible solutions: (5, 5), (6, 6), (7, 7), (8, 8), (9, 9).The only number that allows all the A’s to be the same
digit is 9. Replace all A’s with 9.
Step 3. Find B
9 9 18. B is 8.
054 NUMINO Teacher s Guide
