Title of Book: The Grapes of Math



Title of Book: The Grapes of Math

Author: Greg Tang

Publisher: Scholastic INC.

ISBN: 0-439-59840-0

Grade Levels for Recommended Use: Third Grade

TEKS:

(3.4)  Number and operations. The student applies mathematical process standards to develop and use strategies and methods for whole number computations in order to solve problems with efficiency and accuracy. The student is expected to:

(E)  represent multiplication facts by using a variety of approaches such as repeated addition, equal-sized groups, arrays, area models, equal jumps on a number line, and skip counting;

(F)  recall facts to multiply up to 10 by 10 with automaticity and recall the corresponding division facts;

(G)  use strategies and algorithms, including the standard algorithm, to multiply a two-digit number by a one-digit number. Strategies may include mental math, partial products, and the commutative, associative, and distributive properties;

(H)  determine the number of objects in each group when a set of objects is partitioned into equal shares or a set of objects is shared equally;

(K)  solve one-step and two-step problems involving multiplication and division within 100 using strategies based on objects; pictorial models, including arrays, area models, and equal groups; properties of operations; or recall of facts.

Brief Summary: The Grapes of Math is a dynamic trade book where readers are encouraged to use creative methods, such as finding patterns, grouping, and using advanced problem-solving skills. By incorporating such strategies, students are prompted to solve problems faster and more efficiently. The Grapes of Math strongly incorporates the use of addition, subtraction and multiplication while recognizing arrays, rows and patterns to help build distinct relationships to mathematics. Greg Tang collectively incorporates a collection of sixteen illuminated, illustrated poems to assist students in learning to manipulate groups of objects in their mind. Adding a twist to several poems, Tang promotes the use of subtraction to correctly view each array as a multiplication sentence. To aid the reader during or after solving problems, Tang provides the reader with a complete solution for each poem in the back of the book.

Materials needed:

❖ Multiplication center chart (one for each group)

❖ Multiplication sentence pieces in manila envelopes

❖ Pencil

❖ Colors

Suggested Activity:

1. Review repeated addition and its relationship to commutative property of multiplication where the product is the same regardless of the arrangement of the factors.

2. Before reading Grapes of Math in its entirety, display several of the poems on the Aver and see if students can identify the relationship between each arrangement.

3. Encourage learners to notice repeated addition patterns and apply properties of multiplication when grouping visuals. For example: Commutative Property of Multiplication: (4x2 = 2x4).

4. Read the Grapes of Math, pausing along the way to review patterns and relationships in each illustration.

5. Place students in groups of four.

6. Disperse manila envelopes containing multiplication sentence pieces and multiplication center charts.

7. Have each student draw a card from the envelope.

8. Have learners record their multiplication sentence in the first column of the chart.

9. Then, write the problem representing repeated addition in the second column.

10. Next, the student will create a model (in pencil first, then adding color) of the problem in the third column.

11. Finally, the learner will write the product (answer) in the final column.

12. Each learner will discuss their representations of each multiplication sentence at the end of the center.

13. The instructor is encouraged to display student work and allow each group to make connections to their peer’s creations.

References and or websites:

Richliew, D. (n.d.). 3rd Grade Gridiron: Freebies. 3rd Grade Gridiron. Retrieved September 23, 2012, from Multiplication: Using Repeated Addition and Models to Find Products

Adapted by: (Teresa Walker, 2012)

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