Transition Mathematics (UCSMP) for 2010 – 2011
Order of Instruction
-
Be sure to introduce and work through the Getting Started pages - # 1 – 3 (one day)
Be sure to have students review the Summary for every chapter
Be sure to emphasize the vocabulary for each section of each chapter – this list is found at
the end of each chapter
Be sure to do the Chapter Review for each chapter
There is a Progress Self – Test for every chapter – it should be a one – night assignment which students
should grade themselves and be prepared to discuss the next day in class
Each Chapter Review is organized by Skills, Properties, Uses, and Representations (SPUR)
Each chapter has a series of projects related to the concepts covered in that chapter; students may
look over the projects as they begin the chapter and finalize their selection as they work through the
chapter
There is additional information about incorporating projects into the math program on page T20 of
the TE – The Professional Sourcebook
Decimal Notation – Chapter 1 – suggested pacing 13 to 16 days
(Primary covers - NJCCCS Number Sense – 4.1.7.A and 4.1.7.C)
1-1
1-2
1-3
1-4
1-5
1-6
1-7
1-8
1-9
1-10
Decimals for Whole Numbers
Decimals for Numbers between Whole Numbers
Estimating by Rounding Up or Rounding Down
Estimating by Rounding to the Nearest
Knowing Your Calculator (can use the TI – 34 Multi View manual for this)
Decimals for Simple Fractions
Decimals for Mixed Numbers
Negative Numbers
Comparing Numbers
Equal Fractions
Supplement each strategy / topic as appropriate
Large and Small Numbers – Chapter 2 - suggested pacing 12 to 16 days
(Primarily covers NJCCCS Numerical Operations – 4.1.7.B)
2-1
2-2
2-3
2-4
2-5
2-6
2-7
2-8
2-9
Multiplying by 10, 100, 1000, . . .
Powers
Scientific Notation for Large Numbers
Multiplying by 1/10, 1/100, 1/1000, . . .
Power of a Quantity
From Decimals to Fractions and Percents
Circle Graphs
More Powers of Ten
Scientific Notation for Small Numbers
Supplement each strategy / topic as appropriate
Measurement – Chapter 3 - suggested pacing 12 to 15 days
(Primarily covers NJCCCS Geometric Properties – 4.2.7.D and 4.2.7.E)
3-1
3-2
3-3
3-4
3-5
3-6
3-7
3-8
3-9
Measuring Length
Converting Lengths
Weight and Capacity in the Customary System of Measurement
The Metric System of Measurement
Converting Between Systems
Measuring Angles
Kinds of Angles
Measuring Area
Measuring Volume
Supplement with real life application problems involving operations with fractions
Uses of Variables – Chapter 4 - suggested pacing 13 to 16 days
(Primarily covers NJCCCS Patterns and Algebra – 4.3.7.BA, 4.3.7.B, 4.3.7.C and 4.3.7.D)
4-1
4-2
4-3
4-4
4-5
4-6
4-7
4-8
4-9
4-10
Order of Operations
Describing Patterns with Variables
Translating Words to Algebraic Expressions
Evaluating Algebraic Expressions
Parentheses
Grouping Symbols
Formulas
Probability
Open Sentences
Inequalities
Patterns Leading to Addition – Chapter 5 – suggested pacing 13 – 16 days
(Primarily covers NJCCCS Numerical Operations – 4.1.7.B, Geometric Properties – 4.2.7.A and D, and
Patterns and Algebra – 4.3.7.D)
5-1
5-2
5-3
5-4
5-5
5-6
5-7
5-8
5-9
5-10
Models for Addition
Zero and Opposites
Rules for Adding Positive and Negative Numbers
Supplement for Absolute Value
Combining Turns (Optional)
Adding Positive and Negative Numbers
Adding Probabilities
The Commutative and Associative Properties
Solving x + a = b
Polygons
Adding Lengths
Problem Solving Strategies - Chapter 6 – suggested pacing 10 – 13 days
(Primarily covers NJCCCS Mathematical Processes – 4.5.A, 4.5.B, 4.5.C, 4.5.D, 4.5.E, and 4.5.F)
6-1
6-2
6-3
6-4
Being a Good Problem Solver
Read Carefully
Draw a Picture
Trial and Error
6-5
6-6
6-7
Make a Table
Use a Spreadsheet – may be a good lesson to schedule for the computer lab using EXCEL
Special Cases and Simpler Numbers
There is a test covering Chapters 1 – 6 in the Assessment Sourcebook; this comprehensive test can be
used as a midyear exam
Patterns Leading to Subtraction – Chapter 7 – suggested pacing 12 – 15 days
(Primarily covers NJCCCS Numerical Operations – 4.1.7.B, Geometric Properties – 4.2.7.A and D, and
Patterns and Algebra – 4.3.7.D)
7-1
7-2
7-3
7-4
7-5
7-6
7-7
7-8
7-9
Two Models for Subtraction
The Slide Model for Subtraction
Solving x – a = b
Solving a – x = b
Counting and Probability with Overlap
Angles and Lines
Angles and Parallel Lines
Special Quadrilaterals
The Triangle – Sum Property
Displays - Chapter 8 – suggested pacing 11 - 14 days
(Primarily covers NJCCCS Transforming Shapes – 4.2.7.B, Coordinate Geometry – 4.2.7.C, and Data
Analysis – 4.4.7.A)
8-1
8-2
8-3
8-4
8-5
8-6
8-7
8-8
Graphs and Other Displays
Bar Graphs
Coordinate Graphs
Graphing Lines
Translations (Slides)
Reflections
Reflection Symmetry
Tessellations
Patterns Leading to Multiplication – Chapter 9 – suggested pacing 12 - 15 days
(Primarily covers NJCCCS Numerical Operations – 4.1.7.B, Transforming Shapes – 4.2.7.B, Measuring
Geometric Objects – 4.2.7.E)
9-1
9-2
9-3
9-4
9-5
9-6
9-7
9-8
9-9
The Area Model for Multiplication
Volumes of Rectangular Solids
Multiplication of Fractions
Multiplying Probabilities
The Rate Factor Model for Multiplication
Multiplication with Negative Numbers and Zero
Size Changes – Expansions
Size Changes – Contractions
Picturing Multiplication with Negative Numbers
Multiplication and Other Operations - Chapter 10 – suggested pacing 13 - 16 days
(Primarily covers NJCCCS Measuring Geometric Objects – 4.2.7.E and Patterns and Algebra –
Procedures – 4.3.7.D)
10-1
10-2
10-3
10-4
10-5
10-6
10-7
10-8
10-9
10-10
Multiplication as Shortcut Addition
Solving ax = b
Using ax = b
Solving ax + b = c
Solving ax + b = c when a is Negative
The Distributive Property
The Surface Area of a Box
Dimensions and Units
Areas of Triangles
Areas of Trapezoids
Patterns Leading to Division – Chapter 11 – suggested pacing 12 - 15 days
(Primarily covers NJCCCS Numerical Operations – 4.1.7.B, and Patterns and Algebra – 4.3.7.D)
11-1
11-2
11-3
11-4
11-5
11-6
11-7
11-8
11-9
Integer Division
The Rate Model for Division
Division of Fractions
Division with Negative Numbers
The Ratio Comparison Model for Division
Proportions
The Means – Extremes Property
Proportions in Similar Figures
Proportional Thinking
Real Numbers, Area, and Volume – Chapter 12 – suggested pacing 11 – 14 days
(Primarily covers NJCCCS Measuring Geometric Objects – 4.2.7.E)
12-1
12-2
12-3
12-4
12-5
12-6
12-7
12-8
Converting Decimals to Fractions
Square Roots
The Pythagorean Theorem
The Circumference of a Circle
The Area of a Circle
Surface Areas of Cylinders and Prisms
Volumes of Cylinders and Prisms
Spheres
Coordinate Graphs and Equations – Chapter 13 – suggested pacing 9 - 12 days
(Primarily covers NJCCCS Patterns and Algebra – 4.3.7.B)
13-1
13-2
13-3
13-4
13-5
13-6
Graphing y = ax + b
Situations leading to ax + b = cx + d
Solving ax + b = cx + d
Fractions and Relative Frequencies Revisited
Graphs of Formulas
Graphs of Equations with Symbols for Rounding
Need to supplement: Permutations; Vertex – edge graphs; Shortest route