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

ult

y

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

led

Sco

res

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

800.289.4490 saxonmath.com 1

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.



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?

SXN_M5_SE_L063.indd 224 2/1/07 10:46:58 AM

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

SXN_M5_SE_L063.indd 225 2/1/07 10:46:58 AM

Saxon Math Core Program


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

8 S

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.

SM_H5_AD_Inv08_FF.indd 523 11/5/07 12:54:39 PM

Saxon Math Intermediate 5, Student Edition, Investigation 8

Adaptations for Saxon Math Intermediate 5, Student Workbook, Investigation 8

Help students understand

math!


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



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

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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 =


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!


Now We Can!

is a strong research-based program with over 30 years of effective results.

800.289.4490 • hmheducation.com

TH

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F EXCE LLEN

CE

30YEARS

Saxon® is a registered trademark of HMH Supplemental Publishers Inc.

Saxon Math™ is a trademark of HMH Supplemental Publishers Inc.

© Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Printed in the U.S.A. 12/11 MS40128 Z-1508598

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special education • grades 3–12 better results. brighter...

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