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with the problem and come up with some strategies they might use to solve it. Then gather
children together and use the guiding questions provided to help them discover key
mathematical relationships and understand the special vocabulary used in the problem. This
whole-class discussion will enhance student understanding and success with the problem-
solving strategies and algebraic concepts in each problem set.
The second problem, “Make the Case,” comes as an overhead transparency and uses a
multiple-choice format. Three different characters offer possible solutions to the problem.
Children have to determine which character—Shorty
Trunks, Carl Cargo, or Levi Sam—has the correct answer.
Before they can identify the correct solution, children
have to solve the problem themselves and analyze each of
the responses. Invite them to speculate about why the
other two characters got the wrong answers. (Note:
Although we offer a rationale for each wrong answer,
other explanations are possible.) As children justify their
choices in the “Make the Case” problems, they gain
greater experience using math language.
While working on these first two problems it is
important to encourage children to talk about their
observations and hypotheses. This talk provides a window
into what children do and do not understand. Working
on “Solve the Problem” and “Make the Case” should take
approximately one math period.
The rest of the problems in each set are sequenced by difficulty. All problems feature a
series of questions that involve analyses of the data display. In the first three or four problems
of each set, problem-solving “guru” Ima Thinker provides hints about how to begin solving the
problems. No hints are provided for the rest of the problems. If children have difficulty solving
these latter problems, you might want to write “Ima” hints for each of them or ask children to
develop hints before beginning to solve the problems. An answer key is provided at the back of
the book.
The problem sets are independent of one another and may be used in any order and
incorporated into the regular mathematics curriculum at whatever point makes sense. We
recommend that you work with each problem set in its entirety before moving on to the next
one. Once you and your students work through the first two problems, you can assign
problems 1 through 7 for children to do on their own or in pairs. You may wish to have them
complete the problems during class or for homework.
6
FISHY PRICES
Name _____________________________________________ Date __________________
Shorty Trunks
Who is wearing smarty pants?
Clearly, PB and J
are $3.
Carl Cargo
I see that
PB and J together
cost $5.
Levi Sam
No, PB and J
cost $7.
How much do PB and J cost together?
Match each price tag with its fish.
12
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We cost $3 more
than Dolly.
PB and J
Ringo
Dolly
$
$
$ 5
I cost $5 less
than Ringo.
I cost the most.
Algebra Readiness Made Easy: Grade 1 © Greenes, Findell & Cavanagh, Scholastic Teaching Resources