Frames-and-Arrows Routines

Objectives To use a given addition or subtraction rule to generate a number sequence; and to identify the rule for a given number sequence.

Summaries

Materials

1 Teaching the Lesson

Children review the Frames-and-Arrows notation and routine that were introduced in first grade, and use addition or subtraction rules to fill in frames, arrow rules, or both. [Operations and Computation; Patterns, Functions, and Algebra]

See Advance Preparation

2 Ongoing Learning & Practice

Children identify sums and differences that match a given number by playing Name that Number. [Numeration; Operations and Computation]

Children practice and maintain skills through Math Boxes and Home Link activities.

  • Math Journal 1, p. 44

  • Home Link Masters (Math Masters, p. 254 and 255)

  • number cards (see Lesson 2.9) or
    1 Everything Math Deck, if available, per group

3 Options for Individualizing

Enrichment Children make up and solve Frames-and-Arrows problems. [Operations and Computation; Patterns, Functions, and Algebra]

Reteaching Children use a number grid to solve Frames-and-Arrows problems. [Operations and Computation; Patterns, Functions, and Algebra]

  • Teaching Masters (Math Masters, pp. 30)

  • number grid

Additional Information

Advance Preparation Before beginning the lesson, draw a unit box on the board. Fill in the unit box with the label of your choice (or the children's). Keep the unit box and label posted for all the numbers that are not labeled in this lesson. You may also want to make an overhead transparency of Math Masters, page 29 for the first Frames-and-Arrows activity in Part 1.

Vocabulary · Frames-and-Arrows diagrams · frame · arrow · arrow · arrow rule

Getting Started

Mental Math and Reflexes

Pose +9 facts. Encourage children to think + 10 facts and subtract 1.

Suggestions:

5 + 9 = ? 14
? = 9 + 7 16

Math Message

Which shape comes next? Draw it.

Home Link 2.9 Follow Up

Ask volunteers to share the tag and one or two entries for the name-collection boxes that they created. Can other children suggest additional entries?

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