Algebra Readiness Made Easy Grade 6

NUMBAGLYPHICS

• How are the columns alike? (They all have an A and a B.)


• How are they different? (The third column contains the

number 3, and the second column is the only column that

contains the letter C.)

• Why did Ima start with the third column? (You can remove

3 from the column and the sum of A + B + Ais 24 – 3, or 21.)

• When you replace A + B + A with 21 in the first column,

what is the value of the extra A? (27 – 21, or 6.)

• How can you figure out the value of B? (In the first or

third columns, replace each A with 6. Then solve for the value

of B, which is 9.)

• How can you figure out the value of C? (In the second column,replace A with its value of

6 and B with its value of 9. Then the sum C + C is 29 – 9 – 6, or 14, and C = 14 ÷2, or 7.)

Math Chat With the Transparency

Display the “Make the Case: Numbaglyphics” transparency

on the overhead. Before students can decide which char-

acter’s “circuits are connected,” they need to figure out

the answer to the problem. Encourage students to work in

pairs to solve the problem, then bring the class together

for another whole-class discussion. Ask:

• Who has the right answer? (Boodles)


• How did you figure it out? (In the second column,

D + E + D = 29 – 5,or 24. In the first column, replace the D,

E, and D with 24. Then the extra D is 33 – 24, or 9. In the

first column, replace each D with 9. Then E = 33 – 9 – 9 – 9,

or 6.)

• Why do you think Mighty Mouth answered 11? (He probably

saw three Ds in the first column and thought that 33 ÷3 would give the value for E.)

• How do you think CeCe Circuits got the answer 15? (She mistakenly added the values

of D and E. In the third column, she may have also replaced D and E with 15 and then

subtracted 15 from 30 to get 15.)

65

Ima Thinker

NUMBAGLYPHICS

Name _____________________________________________ Date __________________

What is the value of C?

Numbers at the tops of the columns

are the column sums.

The same letter symbols have the

same values.

Decipher the symbols.

66

I’ll start with the third column.

A+B+ 3 +A= 24. So A+B+A

= 24 – 3, or 21. There’s an A,B,

and Ain the first column.

I’ll replace them with 21.

1.Why did Ima replace theA,B, and Awith

2 1 in the first column? ________________

__________________________________

2.What is the value of B? _______

3.What is the value of C? _______

4.How did you figure out the answer to #3? _____________________

______________________________________________________

5.What is the value of A+A+A+B+B+C+C? _______

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Algebra Readiness Made Easy: Grade 6 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources