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Special Education • Grades 3–12 Better Results. Brighter...
Transcript of Special Education • Grades 3–12 Better Results. Brighter...
Adaptations for
Special Education • Grades 3–12
Brighter Futures.
Better Results.
+
B Saxon Math: Better Results. Brighter Futures.
Students learn mathematics not only by watching or listening to others, but by communicating and solving the problems themselves. In the Saxon Math program, mathematics is taught (and learned) just as a foreign language or musical instrument is taught—incrementally with continual practice.
Saxon Math is a proven instructional design that gives all students the structure they need to succeed.
The Saxon Math Pedagogy We believe that people learn by doing.
Incremental development refers to the division of topics into small, easily understood pieces called increments. Major concepts are not taught in single lessons but are developed over time.
Continual practice and review means that fundamental skills and concepts are practiced and reviewed throughout the year, helping ensure that students retain them.
Assessments are given after every five lessons and are cumulative in content. The tests are designed to allow students to demonstrate the skills they have developed and to build confidence when taking standardized tests.
Incremental Development
Continual Review
Cumulative Assessment
M
astery of concepts builds incrementally throughout the year >>>
dif
fic
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End of the school
year
Begining of the
school year
lessons
Incremental lessons aligned to the Common Core Domains and Clusters are distributed across the year, becoming increasingly more complex as mastery is built.
Average math achievement growth, special education students.
Sca
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What the research says...
Independent ResearchVarious studies have been done across the country on effective processes and structures for math instruction. Saxon Math is a leader in these innovative and effective methods of instruction.
“ Experiments have shown that test scores can be
dramatically improved by the introduction of spaced
practice or mixed practice, which are the two defining
features of mixed reviews. Moreover, neither spacing,
nor mixing, requires an increase in the number of
practice problems, meaning that both features increase
efficiency, as well as effectiveness.”
— From University of Florida 2009, JRME, by Doug Rohrer, Ph.D.
Brain ResearchThe latest brain research related to memory and long-term mastery supports the Saxon Math approach using incremental learning distributed across time as the best method for students to learn.
“ The human mind can only handle a small amount
of new information at one time...Teaching
something new too soon disrupts consolidation
of previous learning.”
— From Brain Matters: Translating Research into Classroom Practice, by Patricia Wolfe
Saxon Program-Specific ResearchIn a national study of Saxon Math, special education students using the program reported significant improvement in Math Achievement.
“ Ensure that instructional materials
include cumulative review in each
session. This provides students with
an opportunity to practice topics
previously covered in depth*.”
* From the Assisting Students Struggling with Mathematics: Response to Intervention (RtI) for Elementary and Middle Schools portion of the What Works Clearinghouse, IES Practice Guide
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Pretest Posttest
Overall Math Achievement
Math Problem Solving
Math Procedures
640
620
600
580
560
540
520
500
480
539.31
576.00
630.83
597.14
553.35
606.63
M
astery of concepts builds incrementally throughout the year >>>
2 Saxon Math: Better Results. Brighter Futures.
✔ Complete Parallel Support–Teacher resources, practice materials, testing materials, and reference guides align perfectly and easily with the Saxon Math core program.
✔ Equal Access–Ensures equity in instruction.
✔ Supports Individualized Education Plans (IEPs)–Spend time teaching, not looking for added resources, preparing extra lesson plans, or modifying lessons to fit into individualized education plans.
✔ Flexible–Specific components support inclusion, pull-out, self-contained resource, and Special Education classrooms with differentiation suggestions.
✔ Explicit, Strategic, and Systematic Instruction—Detailed step-by-step instruction for teacher and student success.
✔ Concrete, Pictorial, and Abstract Strategies—A variety of concrete, tactile, activity-based, and manipulative experiences help to ease the transition into abstract thinking.
✔ Data-Driven Instruction—Frequent, cumulative progress monitoring tools are provided. Prescriptive options are provided to address each learner’s needs.
Adaptations for Saxon Math offers the only complete solution for special education students.
Adaptations is a parallel program to the Saxon Math core curriculum that allows special education students to learn the same content as their on-level peers, but with the support they need to be successful.
Now I Can!
Adaptations for Saxon Math offers solutions to a variety of challenges.
IEP Goals and Objectives
Solution Benefit
Reduce Math Anxiety
Clues, reminders, and prompts Reduces nervous mistakes to provide a true test of math knowledge
Improve Visual-motor Integration
Assistance with set-up, such as lining up decimal points
Allows students to focus on the math
Reduce Number Reversal
Formatted workspace with problem set-ups
Worksheets with problem set-ups
Eliminates copying errors
Students are evaluated on their math skills, not their copying skills
Support Spacial Organization
Organization tools: additional separation between problems and space to work
Helps students clearly differentiate one problem from another
Guide Receptive Language
Partial solutions such as fill-in-the-blank answers
Supplements spoken instructions
Increase Focus Level
Shaded boxes and answer lines
Reminds students to clearly write and label answers
Provide Visual Explanation
Italicized hints and the Teacher’s Guide provide detailed instructions and suggestions
Offers guidance to clarify instructions and makes the abstract more concrete
Reduce Distractability
Templates with formatted workspace, black and white print, and easy illutrations and graphics
Ensure that essential steps aren’t missed and reduces time required to complete assignments
Adaptations Manipulative Kits
provide concrete objects to help facilitate the transition from
concrete to abstract.
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4 Saxon Math: Better Results. Brighter Futures.
224 Saxon Math Intermediate 5
Lesson Practice Draw an example of each of these polygons:
a. triangle
b. quadrilateral
c. pentagon
d. hexagon
e. octagon
f. decagon
Name each polygon shown:
g.
h.
i.
j.
k. Which figures in problems g–j appear to be regular polygons?
l. What common street sign has the shape of the polygon in problem j?
m. A decagon has how many more vertices than a hexagon?
Written Practice Distributed and Integrated
For problems 1–3, write and solve an equation to find the answer.
1.(52)
Three feet equals 1 yard. A car that is 15 feet long is how many yards long?
2.(47)
Write four multiplication/division facts using the numbers 3, 10, and 30.
3.(35)
Roberta had six quarters, three dimes, and fourteen pennies. How much money did she have in all?
4.(1, 10)
What is the sum of the even numbers that are greater than 10 but less than 20?
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Adaptations for Saxon MathComplete, stepped-out modifications for every practice and assessment problem.
4
Lesson 63 225
Written Practice Distributed and Integrated
5.(59)
Estimate the sum of 715 and 594 by rounding the numbers to the nearest hundred and then adding.
6.(40, 62)
Erin opened a 1-gallon bottle of milk and began filling glasses. Each glass held 1 cup of milk. Two cups equals a pint. Two pints equals a quart. Four quarts equals a gallon. How many glasses could Erin fill?
7.(37)
To what mixed number is the arrow pointing?
76
8.(61)
The cake was cut into 12 equal pieces. Seven of the pieces were eaten. What fraction of the cake was left?
9.(31, 38)
The product of 4 and 3 is how much greater than the sum of 4 and 3?
10.(Inv. 3, 62)
What is the sum of 9 2 and √__
9 ?
11.(Inv. 2, 63)
(a) What is the name of this polygon?
1 2 3cmb) Each side is the same length. What is the perimeter of this polygon?
12.(60)
Roger could pick 56 flowers in 8 minutes. At that rate, how many flowers could he pick in 1 minute?
13.(57)
Sarah could pick 11 flowers in 1 minute. At that rate, how many flowers could she pick in 5 minutes?
14.(24, 52)
$40.00 – D = $2.43 15.(Inv. 3, 61)
5 × N = 15 + √___
25
16.(62)
6 × 4 × 10 17.(62)
5 3
18.(50)
3.5 + 2.45 19.(50)
1.95 – 0.4
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Saxon Math Core Program
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Adaptations for Saxon MathComplete, stepped-out modifications for every practice and assessment problem.
Each adapted lesson begins with a lesson summary—an important reference tool for special education students and valuable for parents and teachers.
Adaptations for Saxon Math
Investigations
Modified to help students achieve a deeper understanding of math
Every Investigation is modified to provide special language support and prompts.
8I N V E S T I G A T I O N
522 Saxon Math Intermediate 5
Focus on • Graphing Points on
a Coordinate Plane
• Transformations If we draw two perpendicular number lines so that they intersect at their zero points, we create an area called a coordinate plane. Any point within this area can be named with two numbers, one from each number line. Here we show some examples:
x
(2, 7)
(7, 2)
(7, 7)
(0, 0)
y 10987654321
1 2 3 4 5 6 7 8 9 100
The horizontal number line is called the x-axis, and the vertical number line is called the y-axis. The numbers in parentheses are called coordinates, which give a point’s “address.” Coordinates are taken from the scales on the xtaken from the scales on the xtaken from the scales on the - axis and y- axis and y- axis and - axis. The first number in parentheses gives a point’s horizontal position. The second number gives the point’s vertical position. The point where the xgives the point’s vertical position. The point where the xgives the point’s vertical position. The point where the - axis and y- axis intersect is called the origin. Its coordinates are (0, 0).
Refer to this coordinate plane to answer problems 1–5:
x
y10987654321
1 2 3 4 5 6 7 8 9 100A
B
C
DE
Saxon Math Intermediate 5 523 Adaptations Investigation 8
I N V E S T I G A T I O N©
200
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axon
page 522
Focus on• Graphing Points on a
Coordinate Plane
• Transformations
• A coordinate plane has two perpendicular number lines that cross at their zero points.
• Coordinates are the numbers in parentheses that tell where a point is located.
• The origin is the point where the x-axis and the y-axis cross. The origin’s coordinates are (0,0).
• To graph coordinates: 1. Start at zero.
2. Go left or right, and then up or down.
0 3. Draw a dot.
x
(2, 7)
(7, 2)
(7, 7)
(0, 0)
y10987654321
1 2 3 4 5 6 7 8 9 100
To graph (7, 2):
1. Start at zero.
2. Count 7 places to the right.
Then count 2 places up.
3. Draw a dot.
8
Math Language
• The x-axis is the horizontal number line (first coordinate).
• The y-axis is the vertical number line (second coordinate).
• Graphing Points on a Coordinate Plane
Name
Teacher Notes:
• Introduce Hint #48 “Rectangular Coordinates” and Hint #49 “Coordinate Geometry.”
• Refer students to “Rectangular Coordinates” on page 25 in the Student Reference Guide.
• Lesson Activity 41 “Coordinate Plane” has been incorporated into this intervention.
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Saxon Math Intermediate 5, Student Edition, Investigation 8
Adaptations for Saxon Math Intermediate 5, Student Workbook, Investigation 8
Help students understand
math!
6 Saxon Math: Better Results. Brighter Futures.
Cumulative Tests
Modified to help reduce student test anxiety
Clues, reminders, and prompts on assessments reduce anxiety and improve scores.
1.(28)
Six centuries is how many years?1. Six centuries is how many years?1.
2.(13)
Coletta bought four fruit bars for 2. Coletta bought four fruit bars for 2.$1.05 each and 2 drinks for $0.90 each. How much did she spend in all?
3.(17)
What is the product of seventeen and six?
4.(21)
Xavier, Camille, Tori, and Rosalina equally shared 32 ounces of fruit juice. How many ounces of fruit juice did each person drink?
5.(2)
What is the largest three-digit even number that uses the digits 3, 4, and 5?
6.(2)
Think of an even number. Multiply it 6. Think of an even number. Multiply it 6.by 3. Is the product odd or even?
7.(7)
If Giancarlo is sixth in line, how 7. If Giancarlo is sixth in line, how 7.many people are in front of him?
8.(27)
What temperature is shown on this thermometer?
9.(25)
List the factors of 24.
10.(9)
2694 – 1086_______
11.(13)
$40.00 – $ 8.21_________
10
0
10
F
10
0
10
F
Name
Score
Saxon Math Intermediate 5 © Harcourt Achieve Inc. and Stephen Hake. All rights reserved. 63
Cumulative Test 6A
Also take Also take Power-Up Test 6Power-Up Test 61.
(28) Six centuries is how many years?
Multiply the loop.
2.(13)
Coletta bought four fruit bars for $1.05 each and 2 drinks for $0.90 each. How much did she spendin all?
$1.05× 4
$0.90× 2 +
3.(17)
What is the product of seventeenand six?factor × factor = product
4.(21)
Xavier, Camille, Tori, and Rosalina equally shared 32 ounces of fruit juice. How many ounces of fruit juice did each person drink?
) _____
3 2
5.(2)
What is the largest three-digiteven number that uses the digits3, 4, and 5?
even
6.(2)
Think of an even number. Multiply it by 3. Is the product odd or even?
even
odd or even?
× 3
7.(7)
If Giancarlo is sixth in line, how many people are in front of him?
1st Giancarlo
8.(27)
What temperature is shown on this thermometer?
10
0
−10
F
1 __ = 6 __ ? centuries
years
Use work area.
Cumulative TestName
Score Intermediate 5
Show all work on this paper. Please use the Student Reference Guide.
© 2
008
Sax
on
6A
Saxon Math Intermediate 5 21 Adaptations Cumulative Test 6A
Saxon Math Intermediate 5, Cumulative Test 6a
Adaptations for Saxon Math Intermediate 5, Cumulative Test 6a
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6 Saxon Math: Better Results. Brighter Futures.
Teacher Technology Package Includes:• Electronic CD-ROM pacing
calendar, with assessment, reteaching, and other instructional masters
• Electronic CD-ROM gradebook to track progress on assessments; generates a variety of reports
ISBN-13:ISBN-10:
978-1-6003-2359-11-6003-2359-6
9 781600 323591
9 0 0 0 0
SAX
ON
MA
TH
Intermed
iate 4 A
ssessment G
uide
Stephen Hake
Assessment Guide
SM Inter4 TXNA AssGd.indd 1 5/14/07 12:06:06 PM
ISBN-13:ISBN-10:
978-1-6003-2553-31-6003-2553-X
9 781600 325533
9 0 0 0 0
SAX
ON
MA
TH
Intermed
iate 4 So
lutions M
anual
Stephen Hake
Solutions Manual
SM Inter3-5 TXNA SoluMan.indd 2 3/5/07 10:32:07 AM
Assessment Guide and Solutions ManualBlackline masters of Placement Tests, Cumulative Tests, Power Up Tests, Benchmark Tests, and Analysis Forms
Manipulatives in Motion (Available on CD-ROM or Online)Interactive, virtual manipulatives correlated to lessons
Also Available Online!
Saxon Math Teacher’s Manual Complete student lessons; Section Overviews for planning and differentiating instruction.
Reteaching MastersReteaching worksheets and activities for every lesson
Saxon Math Student EditionComplete lessons and support for the student; contains clear examples, modeled instruction, daily practice and more
Interactive Whiteboard
Ready
Core Curriculum Components + Adaptations Components =
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ISBN-13:ISBN-10:
978-1-6003-2343-01-6003-2343-X
9 781600 323430
9 0 0 0 0
Pat Wrigley
Teaching Guide
There is a structure behind every high achiever. Saxon Math is structured to help every studentbe a successful mathematics learner. It provides the time students need to discover, master, and apply mathematical concepts. The structure of Saxon Math puts students heads above the rest.
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Adaptations for Saxon Math Classroom Package with Teaching GuideContains all adapted student materials on CD‐ROM, a Student Reference Guide, and the Teaching Guide, which offers guidelines for implementing the program in inclusion or small-group settings.
Adaptations Student Workbook plus Student Reference GuideWorkbook contains all the adapted lesson worksheets and Investigations
Adaptations Teacher Resources Binder (2-Volume Set)Contains printouts of the adapted student materials, additional targeted practice, supplemental practice, hands— on fraction practice, and instructional aides
Core Curriculum Components +
Core Curriculum Components + Adaptations Components = The complete
solution for special
education!
10 Saxon Math: Better Results. Brighter Futures.
Now We Can!
is a strong research-based program with over 30 years of effective results.
800.289.4490 • hmheducation.com
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30YEARS
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