Description
Give your special education and general education students who struggle with mathematical fractions the support they need to succeed with these easy-to-implement, research-based lesson plans.
Drawing on their years of classroom experience working with struggling students and their teachers, Dr. Brad Witzel and Dr. Paul Riccomini present elementary and middle school teachers with practical strategies and activities for promoting academic success and mastery of key mathematical concepts. They offer insight into what really helps students learn math including friendly descriptions of the concrete to representational to abstract sequence of instruction, step-by-step instruction that can be expanded from one topic to the next, assessment guides for placement and measurement, and retention of content through mixed reviews and assessments. In addition, the authors provide teachers with clear direction to implement each research-based lesson plan with answer sheets to grade student work as well as pictures of manipulations and accompanying vocabulary so that teachers are confident helping every student succeed.
Table of Contents
Introduction ..............................................................................6
NCTM Process Standards...........................................................8
The Sequence and Standards .....................................................9
Description of Manipulatives ....................................................11
Organization of Materials ........................................................14
Who Can Use this Intervention? ................................................15
How to Use this Intervention ....................................................16
Pretest Assessment .................................................................22
Instructional Lessons ...............................................................23
Lesson 1 — Division with Fractional Answers — concrete level
learning sheet...................................................................................24
Teaching Lesson 1 — Division with Fractional Answers — concrete level
lesson plan.......................................................................................25
Lesson 2 — Division with Fractional Answers — representational
level learning sheet ...........................................................................30
Teaching Lesson 2 — Division with Fractional Answers — representational
level lesson plan ...............................................................................31
Lesson 3 — Division with Fractional Answers — abstract level
learning sheet...................................................................................34
Teaching Lesson 3 — Division with Fractional Answers — abstract level
lesson plan.......................................................................................35
Lesson 4 — Division with Fractional Answers — generalized abstract
level learning sheet ...........................................................................38
Lesson 5 — Division with Fractional Answers — concrete level
learning sheet...................................................................................39
Teaching Lesson 5 — Division with Fractional Answers — concrete level
lesson plan.......................................................................................40
Lesson 6 — Division with Fractional Answers — representational
level learning sheet ...........................................................................46
Teaching Lesson 6 — Division with Fractional Answers — representational
level lesson plan ...............................................................................47
Lesson 7 – Division with Fractional Answers – abstract level
learning sheet...................................................................................50
Teaching Lesson 7 – Division with Fractional Answers – abstract level
lesson plan.......................................................................................51
Lesson 8 – Multiplication of Fractions – concrete level learning
sheet ...............................................................................................54
Teaching Lesson 8 – Multiplication of Fractions – concrete level
lesson plan.......................................................................................55
Lesson 9 – Multiplication of Fractions – representational level
learning sheet...................................................................................62
Teaching Lesson 9 – Multiplication of Fractions – representational level
lesson plan.......................................................................................63
Lesson 10 – Multiplication of Fractions – abstract level learning
sheet ...............................................................................................67
Teaching Lesson 10 – Multiplication of Fractions – abstract level lesson
plan .................................................................................................68
Lesson 11 – Multiplication of Fractions – generalized abstract level
learning sheet...................................................................................71
Lesson 12 – Division of Fractions – abstract level learning sheet .........72
Teaching Lesson 12 – Division of Fractions – abstract level lesson plan....73
Lesson 13 – Division of Fractions – abstract level learning sheet .........76
Teaching Lesson 13 – Division of Fractions – abstract level lesson plan....77
Lesson 14 – Division of Fractions – abstract level learning sheet .........80
Teaching Lesson 14 – Division of Fractions – abstract level lesson plan .....81
Lesson 15 – Finding Equivalent Fractions – concrete level
learning sheet...................................................................................83
Teaching Lesson 15 – Finding Equivalent Fractions – concrete level
lesson plan.......................................................................................84
Lesson 16 – Finding Equivalent Fractions – representational level
learning sheet...................................................................................89
Teaching Lesson 16 – Finding Equivalent Fractions – representational
level lesson plan ...............................................................................90
Lesson 17 – Finding Equivalent Fractions – abstract level learning
sheet ...............................................................................................93
Teaching Lesson 17 – Finding Equivalent Fractions – abstract level
lesson plan.......................................................................................94
Lesson 18 – Finding Equivalent Fractions – generalized abstract
level learning sheet ...........................................................................97
Lesson 19 – Reducing and Comparing Fractions – concrete level
learning sheet...................................................................................98
Teaching Lesson 19 – Reducing and Comparing Fractions – concrete
level lesson plan ...............................................................................99
Lesson 20 – Reducing and Comparing Fractions – representational
level learning sheet .........................................................................103
Teaching Lesson 20 — Reducing and Comparing Fractions —
representational level lesson plan ....................................................104
Lesson 21 — Reducing and Comparing Fractions — abstract level
learning sheet.................................................................................107
Teaching Lesson 21 — Reducing and Comparing Fractions — abstract level
lesson plan.....................................................................................108
Lesson 22 — Reducing and Comparing Fractions — generalized
abstract level learning sheet ............................................................111
Lesson 23 — Adding and Subtracting Fractions with Like
Denominators — concrete level learning sheet ...................................112
Teaching Lesson 23 — Adding and Subtracting Fractions with Like
Denominators — concrete level lesson plan .......................................113
Lesson 24 — Adding and Subtracting Fractions with Like
Denominators — representational level learning sheet .......................120
Teaching Lesson 24 — Adding and Subtracting Fractions with Like
Denominators — representational level lesson plan ...........................121
Lesson 25 — Adding and Subtracting Fractions with Like
Denominators — abstract level learning sheet....................................124
Teaching Lesson 25 — Adding and Subtracting Fractions with Like
Denominators — abstract level lesson plan........................................125
Lesson 26 — Adding and Subtracting Fractions with Like
Denominators — generalized abstract level learning sheet..................127
Lesson 27 — Adding and Subtracting Fractions with Unlike
Denominators — concrete level learning sheet ...................................128
Teaching Lesson 27 — Adding and Subtracting Fractions with Unlike
Denominators — concrete level lesson plan .......................................129
Lesson 28 — Adding and Subtracting Fractions with Unlike
Denominators — representational level learning sheet .......................139
Teaching Lesson 28 — Adding and Subtracting Fractions with Unlike
Denominators — representational level lesson plan ...........................140
Lesson 29 — Adding and Subtracting Fractions with Unlike
Denominators — abstract level learning sheet....................................145
Teaching Lesson 29 — Adding and Subtracting Fractions with Unlike
Denominators — abstract level lesson plan........................................146
Lesson 30 — Adding and Subtracting Fractions with Unlike
Denominators — generalized abstract level learning sheet..................149
Cumulative Review Problem Sets A—G ....................................150
Posttest ................................................................................159
Answer Key...........................................................................160
References............................................................................182
Appendix ..............................................................................183
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Computation of Fractions: Math Intervention for Elementary and Middle Grades Students, CourseSmart eTextbook
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$16.99 | ISBN-13: 978-0-13-715413-5
