your traditional math program!

NEW!
For Grades
K-5
comprehensive edition
Reinvent, reimagine, and rethink
your traditional math program!
program overview
NEW Connecting Math Concepts:
Comprehensive Edition
Grades
K-5
A p p r o p r i at e a s a co r e p r o g r a m
o r f o r at- r i s k s t u d e n t s
Accelerate Math
Learning Performance
Connecting concepts for
greater understanding
• Reinvent
• Reimagine
• Rethink
Connecting Math Concepts combines facts, procedures,
conceptual understanding, applications, and problem solving
skills to provide a comprehensive curriculum for students.
Students learn to understand math by making connections
among related math topics, procedures, and knowledge.
instruction to meet rigorous Common Core
State Standards
a math program with all the digital
resources you need
your traditional math program to accelerate
student learning
Key features include:
•
Critical concepts introduced at just the right time help
students remember and integrate concepts into previous
learning.
•
•
Explicit, research-proven instruction helps students master
math skills.
Ongoing assessment and progress monitoring allows
teachers to quickly pinpoint areas of concern and correct
errors immediately.
1
71–75 Planning Page
Lessons
Lesson 71
Lesson 72
Lesson 73
Lesson 74
Lesson 75
Exercises
Exercises
Exercises
Exercises
Exercises
1. Say subtraction
1. Find missing
1. Find missing
1. Find missing
1. Say addition and
facts
numbers in
numbers in
numbers in
subtraction facts
2. Decompose
number families
number families
number families
2. Identify
2-dimensional
2. Learn about
2. Identify
2. Identify
3-dimensional
figures
carrying to the
3-dimensional
3-dimensional
objects
3. Learn about
tens column
objects
objects (cylinder)
3. Write dollar
carrying to the tens
3. Identify
3. Learn about
3. Count forward or
amounts with the
column
3-dimensional
carrying to the
backward from a
dollar sign ($)
4. Count forward or
objects
tens column
given number
and the decimal
Lesson
71
Lesson
72
Lesson
73
Lesson
74
Lesson
75
backward
from a
4.
Solve
addition
4.
Solve
subtraction
4.
Solve
subtraction
point
Exercises
Exercises
Exercises
Exercises
Exercises
Student
number
facts 1. Find missing
facts1. Find missing
facts Learning
4. Count forward or
1. Saygiven
subtraction
1. Find missing
1. Say addition and
facts
numbers in
numbers in
numbers in
subtraction facts
Objectives
5. Find and write the
5. Count forward
or
5. Write dollar
5. Write dollar
backward from a
2. Decompose
number families
number families
number families
2. Identify
2-dimensional
2. Learn
abouta
2. Identify
missing number in
backward
from
amounts
with the 2. Identify
amounts with the3-dimensional
given number
figures
carrying to the
3-dimensional
3-dimensional
objects
3. Learn
tens column
3. Write dollar dollar objects
a about
number family
sign (cylinder)
($) and objects given number
dollar sign ($) and
5. Solve subtraction
carrying to the tens
3. Identify
3. Learn about
3. Count forward or
amounts with the
6.
Write dollar
6. Use
to
point
the decimal pointdollar sign ($)the decimal
facts
column
3-dimensional
carrying
to the a ruler
backward from
a
4. Count forward or
objects
tens column
given number
and the decimal
amounts
count
backward
6.
Use
a
ruler
to
6. Use a ruler to
6. Use a ruler to
backward from a with the
4. Solve addition
4. Solve subtraction
4. Solve subtraction
point
given number
facts
facts
facts
forward or
dollar sign ($) and
from the5. whole
to
count5. Write
backward
count backward4. Count
count backward
5. Find and write the
Count forward or
5. Write dollar
dollar
backward from a
missing
in
backward from a
amountssolve
with the equations
amounts
with theto
thenumber
decimal
point
whole
from the whole togiven number from the
from the whole to
a number family
given number
dollar sign ($) and
dollar sign ($) and
5. Solve subtraction
6.
Write
dollar a ruler to
6.
Use
a
ruler
to
the
decimal
point
the
decimal
point
facts
7.
Use
7.
Write
dollar
solve
equations
solve equations
solve equations
amounts with the
count backward
6. Use a ruler to
6. Use a ruler to
6. Use a ruler to
count
backward
amounts from
with
7. Solve count
problems
7. Write the symbolscount backward
7. Solve problems
dollar
sign ($) and
the the
whole to
count backward
backward
the decimal point
solve equations
the whole to
from the whole to
from the whole to
dollar sign
($)
and
with three
addends from
for word problems
with three addends
7. Usefrom
a ruler tothe whole to
7. Write
dollar
solve equations
solve equations
solve equations
count
backward
amounts
with the
7. Solve problems
the symbols
problems
solve
equations
the decimal
point
8. Solve7. Write
addition
in columns and 7. Solve
in columns
from the whole to
dollar sign ($) and
with three addends
for word problems
with three addends
solve
equations
the decimal point
8. Solve
in columns facts in columns and
8.
Solve
addition and
8.addition
Solve subtraction
solve
8. Solve addition
8. Solve addition and
8. Solve subtraction
facts
solve
8. Solve addition
subtraction
facts
8. Use a ruler or facts 9. Write8. the
facts
subtraction
facts
facts
9. Write thefacts
symbols
Use a symbols
ruler or
9. Complete work
9. Solve problems
for word problems
objects and
9. Use a ruler and
9.
Complete
work
9.
Solve
problems
for word
problems
objects and
9. Use a ruler and
independently
with three addends
in columns and
count
on for the
count on for the
in columns
solve
whole to solve
to solve
independently
with
three
addends
in
columns
and
count on for thewhole
count on for the
10. Complete work
10. Complete work
equations
equations
independently
independently
worksolve9. Solve addition
in columns
whole to solve10. Complete
whole to solve
facts
independently
10. Complete
work
10. Complete work
10. Complete
work
equations
equations
independently
independently
independently
9. Solve addition
10. Complete work
Common Core State Standards for Mathematics
✔
✔
✔
✔
✔
facts 1.OA 4
independently
✔
✔
✔
✔
✔
1.OA 5
10. Complete
work
✔
✔
✔
✔
✔
1.OA 6
independently
✔
✔
✔
✔
✔
1.OA 8
Student
Learning
Objectives
Reinvent
71–75 Planning Page
Lessons
Instruction designed for
the CCSS
Every lesson
nowConnecting
meets or exceeds
Sequence
for
Math Concepts Level B
the Common Core State Standards
to accelerate learning for students
1
5
at all levels.
1.NBT 1
Common Core State Standards for Mathematics
1.NBT 2
10
15
25
✔
1.OA 5
1.OA 6
COUNTING
Forward and Backward
20
1.OA 4
1.OA 8
1s, 10s
-5s
1.NBT 1
+10s
1.NBT 4
✔
40
45 ✔
✔
✔
✔
✔
✔
✔
✔
✔
✔
✔
✔
✔
teens, 2-digit
Reading Numbers
1-digit
Writing Numbers
teens, 2-digit
PLACE
VALUE
Track
sequencing
NUMBER FAMILIES
✔
✔
✔
✔
✔
✔
✔
✔
✔
Teacher
Materials
Presentation Book 2, Board Displays CD or chalkboard
✔
✔
✔
✔
Student
Materials
✔
Workbook 2, Pencil
✔
✔
✔
Additional
Practice
• Student Practice Software: Block 3: Activity 1 (1.NBT.2 and 1.NBT.4), Activity 2 (1.NBT.4 and 1.OA.6), Activity 3 (1.NBT.1),
Activity 4 (1.NBT.1), Activity 5 (1.NBT.2), Activity 6 (1.MD.2)
• Math Fact Worksheets 33–34 (After Lesson 71), 35 (After Lesson 73), 36–40 (After Lesson 74)
✔
✔
-10s
✔
✔
Mastery
Test
✔
1.NBT 4
✔
✔
✔
1.G 1
✔
✔
✔
✔
Teacher
Materials
Connecting
Mathchalkboard
Concepts
Presentation Book 2, Board Displays
CD or
Student
Materials
Workbook 2, Pencil
✔
✔ ction
All instru
✔
to the
is aligned
✔
Common Core
ds
State Standar
✔
✔
✔
Lessons 71–75 Planning Page 203
7/13/11 1:20 PM
Additional • Student Practice Software: Block 3: Activity 1 (1.NBT.2 and 1.NBT.4), Activity 2 (1.NBT.4 and 1.OA.6), Activity 3 (1.NBT.1),
Practice10s, 1s
Activity
4 (1.NBT.1), Activity 5 (1.NBT.2), Activity 6 (1.MD.2)
addition
• Math Fact Worksheets 33–34 (After Lesson 71), 35 (After Lesson 73), 36–40 (After Lesson 74)
Mastery
missing
number
-0, -all
Test
inverse facts
Number Family
Strategy
Systematically
designed
tracks focus on specific skill
Addition/Subtraction
Facts
sets so that students make connections and build
Fact Relationships
understanding
of mathematical concepts.
olving Problems Using Number Families
•
•
SRA 2Inform Online Progress Monitoring
Track student achievements immediately
✔
203_PGL71-75_TPB2_103589.indd 203
With new technology resources, teachers can effectively
instruct, monitor, and provide additional opportunities for
practice to help differentiate instruction.
Interactive White Board Displays and Activities
Instantly display instructional math visuals and
problems to help students follow daily routines
✔
✔
Digital resources to help
students master concepts
•
✔
1.G 2
1.G 2
SYMBOL IDENTIFICATION
✔
✔
✔
from a number
Count-On Strategy
35✔
1.G 1
✔
100s
1.NBT 2
30
Reimagine
Online Practice Activities
Assign dynamic games that provide students with
practice and reinforce concepts, skills, and
math facts
Lessons 71–75 Planning Page 203
Connecting Math Concepts
DDITION AND SUBTRACTION
Scope and Sequence for Connecting
Math Concepts Level B
no carry/rename
203_PGL71-75_TPB2_103589.indd 203
7/13/11 1:20 PM
Basic Column Addition and Subtraction
1
Column Addition with 3 Addends
5
10
15
20
30
35
40
50
45
COUNTING
Forward and Backward
Subtraction – Zero as 1st Digit of Answer
1s, 10s
-5s
SYMBOL IDENTIFICATION
PLACE VALUE
NUMBER FAMILIES
WORD PROBLEMS
Number Family Strategy
Addition/Subtraction Facts
Action and Classification Word Problems
Fact Relationships
100s
Count on 5s
-10s
60
65
70
75
80
85
90
25s
95
100 105 110 115 120
125
2s
teens, 2-digit
Reading Numbers
Writing Numbers
+10s
55
from a number
Count-On Strategy
Column Addition with Carrying
1-digit
teens, 2-digit
10s, 1s
missing number
write symbols
3-digit addition
addition
-0, -all
pictures
inverse facts
more/less
Solving Problems Using Number Families
COLUMN ADDITION AND SUBTRACTION
Comparison Word Problems
no carry/rename
Basic Column Addition and Subtraction
FRACTIONS
THAN, LESS THAN, EQUAL TO
25
Column Addition with 3 Addends
Column Subtraction – Zero as 1st Digit of Answer
carry
Column Addition with Carrying
WORD PROBLEMS
Action and Classification Word Problems
to 3-digits
solve independently
write symbols
solve independently
more/less
< >
Comparison Word Problems
equal parts
FRACTIONS
Completing Statements MORE THAN, LESS THAN, EQUAL TO
< > =, comparison statements
Completing Statements
Associative Property
TIME
Digital Clocks
Associative Property
TIME
tell
Digital Clocks
MONEY
Coins and Bills
write
tell
Analog Clocks
bills
coins
write
write value
Writing Dollar Amounts
Column Problems
Analog Clocks
MONEY
2-D
GEOMETRY
3-Dimensional Shapes
2-D
Composition/Decomposition
2-Dimensional Shapes
Writing Dollar Amounts
8
Teacher’s Guide
3-D
coins
3-Dimensional Shapes
Coins and Bills
2
3-D
2-Dimensional Shapes
Connecting Math Concepts
Connecting Math Concepts
Teacher’s Guide
9
Column Problems
GEOMETRY
001-011_TG_LB_103593.indd 8
5/8/12 10:29 AM
001-011_TG_LB_103593.indd 9
12/9/11 12:23 PM
3
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first and second halves of the program
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Grade 4
Grade 5
*The RIT scale uses individual item difficulty
values to estimate student performance. For
more information about the RIT scale, visit
www.nwea.org
17
5
Teacher Materials
Student Materials
Interactive White Board
Displays (Levels A-F)
Online Practice Activities
Instantly displays instructional math visuals and
problems to help students follow daily routines.
Provide students time to practice and reinforce
concepts, skills, and math facts with fun games.
(Levels A-F)
Level C Work
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Workbooks (Levels A-F)
Assessment Book and eBook
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ISBN: 978-0-02-103574-8
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ISBN: 978-0-02-103622-6
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ISBN: 978-0-02-103621-9
MHID: 0-02-103621-7
Teacher Presentation Books
and eBook (Levels A-F)
ISBN: 978-0-02-103596-0
MHID: 0-02-103596-2
Teaches explicit strategies and processes to
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Level A Workbook 1
Siegfried Engelmann
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ISBN: 978-0-02-103577-9
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Level C Answer Key
Level C Textbook
Name ______________________________________
COMPREHENSIVE EDITION
Siegfried Engelmann
Bernadette Kelly
Douglas Carnine
001-080_LB_BLM_103599.indd 64
Teaches explicit strategies and processes to
accelerate progress
Provides practice that builds proficiency
and understanding
•
•
Meets the math standards specified in the
Common Core State Standards
•
•
MHEonline.com
Rigorously field-tested and
shaped to meet the needs of students
Teaches explicit strategies and processes to
accelerate progress
Provides practice that builds proficiency
and understanding
Meets the math standards specified in the
Common Core State Standards
COMPREHENSIVE EDITION
MHEonline.com
ISBN: 978-0-02-114898-1
MHID: 0-02-114898-8
ISBN: 978-0-02-103578-6
MHID: 0-02-103578-4
A Direct instruction ProgrAm
A DIRECT INSTRUCTION PROGRAM
Connecting Math Concepts
9/6/11 11:24 AM
Math Fact Blackline Masters
Provide math practice for topics
addressed in the program.
6
•
Siegfried Engelmann
Bernadette Kelly
Douglas Carnine
Level C Textbook
Math Fact Worksheets, Level B
•
McGraw-Hill
64
7– 3=
6– 3=
11 –10 =
9– 2=
10 – 8 =
•
Rigorously field-tested and shaped to meet
the needs of students
Level C Answer Key
11
14
4
8
11
– 2 – 4 + 3 – 6 – 1
5 + 5=
8 – 4=
6 + 5=
19 – 9 =
8 – 2=
•
Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
10
7
11
3
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– 5 – 4 – 6 + 5 + 8
COMPREHENSIVE EDITION
comPrehensive eDition
COMPREHENSIVE EDITION
10
4
3
12
12
– 6 + 4 + 3 – 2 –1 0
3 + 6=
9 +10 =
3 + 4=
15 –10 =
2 + 9=
COMPREHENSIVE EDITION
BLM 64 (After Lesson 104) Cumulative Review
SRA 2Inform online progress
monitoring
Instantly tracks and monitors student
progress.
Answer Key and eBook
(Levels C-F)
Makes it easy to check independent work.
Student Textbooks
(Levels C-F)
Include teacher-guided and independent
exercises that are integral to each lesson.
7
Grade Level Skills Mastered
Grade K • Level A
Counting
Reciting Counting Numbers (Rote
Counting)
Counting Objects and Events
Count-on: Next Number
Counting Backward
Ordinal Numbers
Symbols
Symbol Identification
Symbol Writing
Numbers and Counters
Equality & Equations
Place Value
Plus (Addition)
Plus One-Digit Numbers
Two-Digit Addition
Turn-Around Equations
(Commutative Property)
Addition Facts (+1, +10, +Teen)
Algebra Addition
Take Away (Subtraction)
Column Problems
Word Problems
Money: Coins and Bills
Shapes and 3.0 Objects
Relative Position and Size
Grouping/Ordering/Patterns
8
Grade 1 • Level B
Computation
Column Addition
Basic Column Addition
Carrying
3 Addends
Column Subtraction
Zero as First Digit
Different Digit Problems
Number Families
Number Family Strategy
Facts
Mental Math
Fact Relationships
Number Families with 2 and
3-Digit Numbers
Fractions
Counting
By 1s, 10s, 100s, 5s, 25s, 2s
Counting Backward by 1s, 10s,
100s
Counting On
Word Problems
Action and Classification Word
Problems
Comparison Word Problems
Grade 2 • Level C
Grade 3 • Level D
Grade 4 • Level E
Grade 5 • Level F
Counting
Place Value
Expanded notation, renaming
Number Families
Addition – Subtraction Facts
Word Problems
Column Addition – Subtraction
Mental Math
Money
Multiplication
Measurement
Lines, Perimeter, Area
Inequality/Equivalence
Geometry
2D, 3D, Decomposition, Angles
Missing Addend
Estimation
Clock Time
Data
Tables, Graphs, Line Charts
Fractions
Addition and subtraction facts
review
Multiplication and division facts
introduction
Carrying addition and borrowing
subtractions column problems
Word problems for addition,
subtraction, multiplication,
and division
Fractions
Area and perimeter
Counting
Time
Bar and picture graphs
Rounding/Estimating
Multiplication and division facts
review
Fractions (including addition,
subtraction, multiplication, and
equivalence)
Word problems for addition,
subtraction, multiplication, and
division
Area and perimeter
Carrying addition and borrowing
subtractions column problems
Multi-digit multiplication and
division
Decimals (including addition and
subtraction)
Angles
Rounding/Estimating
Ratios
Multiples, factors, prime, and
composite
Fraction operations (addition/
subtraction with unlike
denominators, multiplication,
and division)
Word problems involving addition,
subtraction, multiplication, and
division of whole numbers and
fractions
Fraction simplification
Area of rectangles, parallelograms
and circles, and perimeter
Volume of rectangular prisms and
cylinders
Multi-step word problems
involving volume, ratio and
proportion, classification,
probability, and percent
Multi-digit whole-number, mixed
number and decimal operations
(including 2-digit divisors and
decimal division)
Place value and rounding whole
numbers and decimals (including
millions and thousandths)
Coordinate system (points, lines
and ratio word problems)
Exponents
Unit conversion
NEW!
For Grades
K-5
comprehensive edition
Reinvent, reimagine, and rethink
your traditional math program!
800-334-7344 | MHEonline.com
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