OVERVIEW BROCHURE
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
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40
45 ✔
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teens, 2-digit
Reading Numbers 1-digit
Writing Numbers
teens, 2-digit
PLACE VALUE Track sequencing NUMBER FAMILIES
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Teacher Materials
Presentation Book 2, Board Displays CD or chalkboard
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Student Materials
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Workbook 2, Pencil
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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)
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-10s
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Mastery Test
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1.NBT 4
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1.G 1
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Teacher Materials
Connecting Mathchalkboard Concepts Presentation Book 2, Board Displays CD or
Student Materials
Workbook 2, Pencil
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✔ ction All instru ✔ to the is aligned ✔ Common Core ds State Standar
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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
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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
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Digital resources to help students master concepts
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1.G 2
1.G 2
SYMBOL IDENTIFICATION
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from a number
Count-On Strategy
35✔
1.G 1
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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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Mastery Tests Occur every 10 lessons to evaluate student performance on critical skills previously introduced, practiced, and applied
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Field Test Results 90
Schools using Connecting Math Concepts
80
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Other schools in the same district
70 60 50
16
Results are based on average *RIT Math scores of six schools that implemented Connecting Math Concepts.
40 30 20 10 0
4
Grade 3
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 Level C Work
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ISBN: 978-0-02-103644-8 MHID: 0-02-103644-6
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Assessment Book and eBook (Levels A-F)
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ISBN: 978-0-02-103622-6 MHID: 0-02-103622-5
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 accelerate progress
Level A Workbook 1
Siegfried Engelmann Owen Engelmann
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MHEonline.com
ISBN: 978-0-02-103577-9 MHID: 0-02-103577-6
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Includes problem solving activities that correspond to lesson instruction.
Contains 12 mastery tests, 2 cumulative tests, and remedy worksheets.
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 10 – 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 DI 12 W 8640
10/12
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
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Teacher Materials
Presentation Book 2, Board Displays CD or chalkboard
✔
✔
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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)
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✔
-10s
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✔
Mastery Test
✔
1.NBT 4
✔
✔
✔
1.G 1
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✔
✔
✔
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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Results are based on average *RIT Math scores of six schools that implemented Connecting Math Concepts.
40 30 20 10 0
4
Grade 3
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)
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Level C Answer Key
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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
• •
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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.
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Siegfried Engelmann Bernadette Kelly Douglas Carnine
Level C Textbook
Math Fact Worksheets, Level B
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McGraw-Hill
64
7– 3= 6– 3= 11 –10 = 9– 2= 10 – 8 =
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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=
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Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.
10 7 11 3 10 – 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.
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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
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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 DI 12 W 8640
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