Math Curriculum for Gifted Students

Lessons, Activities, and Extensions for Gifted and Advanced Learners: Grade 4

Center for Gifted Education

• Publisher: Routledge
• Year: 2021
• Print ISBN:
  9781618219923
• eBook ISBN:
  9781000493627
• Edition: 2
• Topic: Education
• Subtopic: Teaching Mathematics

The Math Curriculum for Gifted Students series:

• Provides gifted and advanced learners with challenging activities to extend their mathematical thinking.
• Includes lessons, activities, and extensions that are aligned to national standards.
• Is designed to provide high-ability learners advancement beyond the general curriculum.
• Is ideal for gifted classrooms or gifted pull-out groups.
• Was developed by the Center for Gifted Education at William & Mary.

In Math Curriculum for Gifted Students (Grade 4), the 24 lessons cover mathematics content for grade 4 and are divided into five sections: number and operations in Base Ten, operations and algebraic thinking, number and operations-fractions, measurement and data, and geometry. Each lesson includes a teacher page that outlines the estimated time, key terms, materials, and objectives; a challenging activity to allow students to explore the concepts in depth; practice problems; and an assessment similar to standards-based grade-level standardized assessments.

SECTION III
Number and Operations—Fraction

LESSON 3.1
Fraction Equivalents

DOI: 10.4324/9781003236405-13

Estimated Time

• 60–90 minutes

Key Terms

• Area
• Identity property of multiplication

Materials

• Lesson 3.1 Activity: Create the Equivalent
• Lesson 3.1 Fraction Cards (copy these on cardstock and cut before lesson)
• Lesson 3.1 Practice: Evaluating Equivalent Fractions
• Lesson 3.1 Assessment Practice
• Blank cardstock (cut before lessons)

Objectives

In this lesson, students will:

• create equivalent fractions based on a model,
• evaluate fractions to find equivalent fractions, and
• utilize the identity property of multiplication to generalize a rule for creating equivalent fractions.

Lesson 3.1 Activity: Create the Equivalent

In this activity, students will take turns pulling a card from the pile. Using the fraction represented on this card, students should create two additional cards representing an equivalent fraction. By the end, students should have a card with a numerical fraction, an area model, and number line, so students need to draw whichever two are missing. All fractions represented on the cards should be different, yet equivalent, fractions (e.g., $\frac{1}{4}$ and $\frac{3}{12}$). To make the activity more challenging, students could also be given cards with mixed numbers and improper fractions.

NAME: _____________________________________________________________________ DATE: ____________________

LESSON 3.1 ACTIVITY Create the Equivalent

Directions: Take turns with a partner pulling a fraction card from the pile. Using the fraction represented on the card, create two additional cards representing equivalent fractions. You should have a set of cards with a numerical fraction, an area model, and a number line model, so draw whichever is missing. Be sure to keep all fractions equivalent, but not identical (e.g., if the fraction card says $\frac{1}{2}$, the cards you draw should show fractions that are equivalent to $\frac{1}{2}$, yet not $\frac{1}{2}$, such as $\frac{2}{4}$).

Extend Your Thinking

1. Use the cards you and your partner have created to play a game of Memory.

NAME: _____________________________________________________________________ DATE: ____________________

LESSON 3.1 Fraction Cards

$\frac{10}{12}$	$\frac{13}{9}$
$\frac{33}{33}$	$\frac{14}{18}$

NAME: _____________________________________________________________________ DATE: ____________________

LESSON 3.1 PRACTICE Evaluating Equivalent Fractions

Directions: Complete the problems below.

1. You are planning three gardens for someone’s house. Your client wants the other g...

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Table of Contents
• Introduction
• Section I: Operations and Algebraic Thinking
• Section II: Number and Operations in Base Ten
• Section III: Number and Operations—Fractions
• Section IV: Measurement and Data
• Section V: Geometry
• Answer Key
• About the Authors
• About the Center for Gifted Education
• Common Core State Standards Alignment