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Oroville Union High School District |
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Mathematics Curriculum |
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Mathematics - Agricultural Foundations for Algebra |
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Fractions, Decimals, and Mixed Numbers
The learner will be able to
compare and order positive and negative fractions, decimals, and mixed numbers
and place them on a number line.
| Strand |
Scope |
Source |
| Number Sense |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Number Sense 1.1. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter l: AR-75, 76; Chapter 2: GS-65; Chapter 3: PR-21, 22, 28, 46, 49, 57, 73, 89, 113; Chapter 4: MP- 17, 32, 43, 71; Chapter 5: GO-7, 12, 13, 15, 21-23, 27, 31-33, 38, 44, 45, 47, 58, 68, 71, 73, 76, 78-83, 99, 104, 108; Chapter 6: MB-13; Chapter 7: GH. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 2-1, 2-2, 4-10. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta7g Find Them All. |
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Ratios in Different Contexts
The learner will be able to
interpret and use ratios in different contexts (e.g., batting averages, miles per hour) to show the relative sizes of two quantities, using appropriate notations (a/b, a to b, a:b).
| Strand |
Scope |
Source |
| Number Sense |
Introduce |
CA: Mathematics Content Standards, December 1997, Grade 6, Number Sense 1.2. |
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Instructional Resources |
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| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 5: GO-1-6, 14, 24, 34, 36, 37, 42,
70, 109, 111, 120, 121, 122;
Chapter 6: MB-32-40, 44-47, 53-55, 68, 84,
87-91.
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 2-7, 8-1, 8-2. |
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PLATO Learning Inc., 2000, Modules: [Software]. blm8a Ratio Concepts;
}ta13 Ratios (course).
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Proportions: Problem Solving
The learner will be able to
use proportions to solve problems (e.g., determine the value of N if 4/7 = N/21,
find the length of a side of a polygon similar to a known polygon). Use cross-multiplication as a method for solving such problems, understanding it as the multiplication of both sides of an equation by a multiplicative inverse.
| Strand |
Scope |
Source |
| Number Sense |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Number Sense 1.3. |
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Instructional Resources |
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| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 5: G0-79-81, 93, 96, 97, 105, 106,
109, 111, 122;
Chapter 6: MB-3-10, 19-22, 26, 31-38, 40,
44-47, 52, 57-67, 72-76, 83, 84, 87-91, 96,
99, 100, 111, 119, 129, 130, 132.
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 8-3, 8-3B, 8-4. |
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PLATO Learning Inc., 2000, Modules: [Software]. blm8b Proportion Concepts;
}ta14 Proportions (course).
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Percentages: Problem Solving
The learner will be able to
calculate given percentages of quantities and solve problems involving discounts
at sales, interest earned, and tips.
| Strand |
Scope |
Source |
| Number Sense |
Introduce |
CA: Mathematics Content Standards, December 1997, Grade 6, Number Sense 1.4 |
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Instructional Resources |
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| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 6: MB-52-59, 61-67, 71, 74, 77-81,
85, 94, 101-103, 114, 115, 117, 118, 121, 122, 126, 127.
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 8-8, 8-9, 11-1, 11-1B, 11-2, 11-3A, 11-3, 11-4, 11-5A, 11-5, 11-6, 11-7, 11-7B. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta15 Percents (course);
blm8f Problem Solving 6.
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Positive Fractions: Problem Solving
The learner will be able to
solve problems involving addition, subtraction, multiplication, and division of
positive fractions and explain why a particular operation was used for a given
situation.
| Strand |
Scope |
Source |
| Number Sense |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Number Sense 2.1. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 3: PR-27, 41, 67, 80, 102, 105, 106;
Chapter 5: GO-16, 20, 35, 40, 41, 48-52, 57,
63, 109, 113;
Chapter 7: GH-2-9, 15-22, 24, 25, 28-31, 34,
35, 45, 56-59, 62, 63, 66-72, 74-76, 79-85,
87, 89, 91-103, 106-121, 123-129, 131-134,
136, 138.
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 7-2, 7-3, 7-4, 7-9. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta15 Percents (course);
blm8f Problem Solving 6.
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Positive Fractions: Mult. & Div.
The learner will be able to
explain the meaning of multiplication and division of positive fractions and perform
the calculations (e.g., 5/8 / 15/16 = 5/8 X 16/15 = 2/3).
| Strand |
Scope |
Source |
| Number Sense |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Number Sense 2.2. |
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Instructional Resources |
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| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 3: PR-81;
Chapter 4: MP-9, 12, 31;
Chapter 5: GO-26, 53-56, 70, 88, 100;
Chapter 7: GH-31-44, 48-50, 53-55, 63, 64,
79-85, 89, 96-98, 106-110.
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 7-4A, 7-4, 7-9. |
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PLATO Learning Inc., 2000, Modules: [Software]. blm6m Multiplying Fractions;
blm6n Dividing Fractions 1;
blm6o Dividing Fractions 2.
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Positive & Negative Integers
The learner will be able to
solve addition, subtraction, multiplication, and division problems, including those
arising in concrete situations, that use positive and negative integers and combinations of these operations.
| Strand |
Scope |
Source |
| Number Sense |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Number Sense 2.3. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 1: AR-2, 3, 9-12, 27, 45, 54, 56, 70-78;
Chapter 2: GS-1-8, 14-19, 21, 26, 32-35, 37,
38, 41, 45-49, 52, 54, 55, 61, 64, 74, 78,
79, 81, 85, 90, 93;
Chapter 6: MB-109, 110, 125, 128;
Chanter 7: GH-74.
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 5-1, 5-2, 5-3, 5-3B, 5-4A, 5-4, 5-5A, 5-5, 5-6A, 5-6, 5-7A, 5-7, 5-8. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta23 Addition and Subtraction of Integers (course);
}ta24 Multiplication and Division of Integers (course).
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Common Multiple & Divisor
The learner will be able to
determine the least common multiple and the greatest common divisor of whole
numbers; use them to solve problems with fractions (e.g., to find a common denominator to add two fractions or to find the reduced form for a fraction).
| Strand |
Scope |
Source |
| Number Sense |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Number Sense 2.4. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 3: PR-84, 95, 107; Chapter 4: MP-12, 16; Chapter 5: GO-21, 23, 36, 44, 45, 104, 105;
Chapter 6: MB-11, 12, 16, 28, 39, 50, 68, 95;
Chapter 7: GH-15-22, 24, 25, 28-31, 34, 35, 104.
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 4-4, 4-5, 4-9, 4-10, 7-2, 7-3. |
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PLATO Learning Inc., 2000, Modules: [Software]. blm6c Multiples and Common Denominators. |
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Algebra and Functions 1.0
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One-Step Linear Equations
The learner will be able to
write and solve one-step linear equations in one variable.
| Strand |
Scope |
Source |
| Algebra and Functions |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Algebra and Functions 1.1. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 1: AR-4, 13, 28, 46-49, 58; Chapter 5: GO-125; Chapter 6: MB-1-9, 17, 18; Chapter 8: MC-11-13, 33-41, 79, 83, 87-91, 93-96, 132. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 6-1a, 6-1, 6-2, 6-4, 7-8. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta25 Simple Equations (course);
}ta26 Solving simple Equations Using Transformation (course).
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Algebraic expressions: Three Variables
The learner will be able to
write and evaluate an algebraic expression for a given situation, using up to three variables.
| Strand |
Scope |
Source |
| Algebra and Functions |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Algebra and Functions 1.2. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 3: PR-24, 120; Chapter 5: GO-103, 120, 123; Chapter 6: MB-25, 129. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 1-3, 1-4, 2-4, 5-4, 6-4, 6-7. |
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PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available. |
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Algebraic Order of Operations
The learner will be able to
apply algebraic order of operations and the commutative, associative, and distributive properties to evaluate expressions; and justify each step in the process.
| Strand |
Scope |
Source |
| Algebra and Functions |
Introduce |
CA: Mathematics Content Standards, December 1997, Grade 6, Algebra and Functions 1.3. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 3: PR-1, 9, 25, 33-37, 42, 45, 48, 56, 58, 61; Chapter 4: MP-5, 45-51, 54, 68, 90-94, 96, 112, 113, 137; Chapter 6: MB-22, 48; Chapter 7: GH-52-55. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 1-2, 1-4, 7-8. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta8 Properties and Order of Operation (course);
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Order of Operations: Problem Solving
The learner will be able to
solve problems manually by using the correct order of operations or by using a
scientific calculator.
| Strand |
Scope |
Source |
| Algebra and Functions |
Introduce |
CA: Mathematics Content Standards, December 1997, Grade 6, Algebra and Functions 1.4. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 3: PR-58, 70, 71, 74, 77, 78, 86, 87, 90, 92, 94, 100, 101, 104, 115, 118. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 1-2, 1-3B. |
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PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available. |
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Algebra and Functions 2.0
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Measurement Conversions
The learner will be able to
convert one unit of measurement to another (e.g., from feet to miles, from centimeters to inches).
| Strand |
Scope |
Source |
| Algebra and Functions |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Algebra and Functions 2.1. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 5: GO-61, 62, 84, 86; Chapter 6: MB-19-21, 31, 40, 44, 60, 82, 83. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 2-8, 7-5. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta16a Let's Convert;
}ta16b Here Comes the Riddle Witch;
}ta16c Practice.
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Measurement of Rate
The learner will be able to
demonstrate an understanding that rate is a measure of one quantity per unit value
of another quantity.
| Strand |
Scope |
Source |
| Algebra and Functions |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Algebra and Functions 2.2. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 5: G0-2, 3, 5, 14, 24, 42, 56, 84, 86, 87, 98, 114, 119-122; Chapter 6: MB-31-39, 52-56. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 8-2. |
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PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available. |
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Rate: Problem Solving
The learner will be able to
solve problems involving rates, average speed, distance, and time.
| Strand |
Scope |
Source |
| Algebra and Functions |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Algebra and Functions 2.3. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 5: GO-5, 17, 18, 39, 62, 74, 85, 87, 98, 111, 120-122; Chapter 6: MB-32-38. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 6-2, 6-6, 8-2. |
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PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available. |
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Algebra and Functions 3.0
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Expressions: Geometric Quantities
The learner will be able to
use variables in expressions describing geometric quantities (e.g., P = 2w + 2l,
AE = 1 .2 bh, C = p d--the formulas for the perimeter of a rectangle, the area of a triangle, and the circumference of a circle, respectively).
| Strand |
Scope |
Source |
| Algebra and Functions |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Algebra and Functions 3.1. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 4: MP-3, 20-29, 33-37, 41, 44, 52, 55, 56, 59-66, 70, 73-81, 86-94, 96, 98, 99, 104-107, 109, 119, 123; Chapter 5: GO-110, 114; Chapter 9: ZC-3, 4, 12-16, 19, 21-24, 27, 29, 30, 32-37, 43-46, 49-51, 66, 76, 78, 79, 82-89, 92, 93, 95-98, 103, 104, 107-110. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 1-3, 1-7A, 1-7, 7-6, 7-7, 10-5A, 10-5, 10-6. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta29 Formulas (course). |
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Geometry: Simple Relationships
The learner will be able to
express in symbolic form simple relationships arising from geometry.
| Strand |
Scope |
Source |
| Algebra and Functions |
Introduce |
CA: Mathematics Content Standards, December 1997, Grade 6, Algebra and Functions 3.2. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 4: MP-3, 20-29, 33-37, 41, 44, 52, 55, 56, 59-66, 70, 73-81, 86-94, 96, 98, 99, 104-107, 109, 119, 121-123, 129-132, 134; Chapter 9: ZC-3, 4, 12-16, 19, 21-24, 27, 29, 30, 32-37, 43-46, 49-51, 53-61, 66, 68-71, 73, 76, 78, 79, 82-89, 92-98, 103, 104, 107-110. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 1-3, 1-7A, 1-7, 7-6, 7-7, 9-2A, 9-2, 9-3, 9-4, 9-5, 10-5A, 10-5, 10-6. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta29 Formulas (course). |
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Measurement and Geometry 1.0
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Concept of a Constant: pi
The learner will be able to
understand the concept of a constant such as pi; know the formulas for the circumference and area of a circle.
| Strand |
Scope |
Source |
| Measurement and Geometry |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Measurement and Geometry 1.1. |
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Instructional Resources |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 9: ZC-2, 3, 4, 10-16, 19, 21-24, 27, 30, 32-37, 43-46, 49-51, 53-61, 66, 76, 78, 79, 82-89, 92, 93, 95-98, 103, 104, 107-110. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 7-7, 10-6. |
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PLATO Learning Inc., 2000,
Modules:
Modules: [Software]. }ta19a In and Around the Circle.
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Common Estimates of pi
The learner will be able to
know common estimates of pi (3.14; 22/7) and use these values to estimate and calculate the circumference and the area of circles; compare with actual measurements.
| Strand |
Scope |
Source |
| Measurement and Geometry |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Measurement and Geometry 1.2. |
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Instructional Resources |
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| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 9: ZC-2, 3, 12, 14, 15, 19, 21, 24, 25, 27, 30, 32-34, 43-46, 50, 51, 66, 85, 89, 93, 96, 101-105, 107, 109. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 7-7, 10-6. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta19b Seeing Circles;
}ta19c Earthquake!;
}ta19d Practice.
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Volume Formulas
The learner will be able to
know and use the formulas for the volume of triangular prisms and cylinders (area of base x height); compare these formulas and explain the similarity between them and the formula for the volume of a rectangular solid.
| Strand |
Scope |
Source |
| Measurement and Geometry |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Measurement and Geometry 1.3. |
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Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 9: ZC-53-61, 64, 68-71, 73, 78-89, 92, 95-100, 102, 108-111. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 12-3. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta20 Area and Volume (course);
blm9h Volume and Capacity Measurement.
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Measurement and Geometry 2.0
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Descriptions of Angles
The learner will be able to
identify angles as vertical, adjacent, complementary, or supplementary and provide descriptions of these terms.
| Strand |
Scope |
Source |
| Measurement and Geometry |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Measurement and Geometry 2.1. |
| |
Instructional Resources |
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| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 8: MC-1-10, 17-22, 28, 44, 49-52. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 9-1. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta17a Angle Tangles. |
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Properties of Angles: Problem Solving
The learner will be able to
use the properties of complementary and supplementary angles and the sum of the
angles of a triangle to solve problems involving an unknown angle.
| Strand |
Scope |
Source |
| Measurement and Geometry |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Measurement and Geometry 2.2. |
| |
Instructional Resources |
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| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 8: MC-23-26, 28, 44, 51, 52, 65, 67, 71, 75-78, 91, 93, 104-108, 116, 123, 125, 143; Chapter 9: ZC-31. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 9-1, 9-2A, 9-2, 9-4, 9-5. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta17a Angle Tangles;
}ta17d Practice.
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Quadrilaterals & Triangles
The learner will be able to
draw quadrilaterals and triangles from given information about them (e.g., a
quadrilateral having equal sides but no right angles, a right isosceles triangle).
| Strand |
Scope |
Source |
| Measurement and Geometry |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Measurement and Geometry 2.3. |
| |
Instructional Resources |
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| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 4: MP-33, 89; Chapter 8: MC-10, 57. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 9-4. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta18 Polygons (course). |
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Statistics, Data Analysis, & Prob. 1.0
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Range, Mean, Medium, & Mode
The learner will be able to
compute the range, mean, median, and mode of data sets.
| Strand |
Scope |
Source |
| Statistics, Data Analysis, & Probabi |
Reinforce |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 1.1; CA HSEE Math Blueprint, December 2000, 1 Test Item. |
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Instructional Resources |
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Skills Connection, EdVision.com, Version 2.1.0, 2001, Home Study Guide [On-line]. www.ouhsd.org/curriculum/math/doc/hsg6sdap1.1.htm |
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CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 1: AR-23-26, 29, 34-39, 43, 50-53, 59, 71, 76. |
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GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 3-1, 3-4. |
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PLATO Learning Inc., 2000, Modules: [Software]. }ta38 Mean, Median, Mode and Range (course).
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Assessment Resources |
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| · |
Skills Connection, EdVision.com, Version 2.1.0, 2001, Template: All Skills; Area: Mathematics [Software]. Unit: Probability/Statistics; Skills: Mean, Median, Mode, Range Grade 7. |
|
|
Measures of Central Tendency: Data Sets
The learner will be able to
understand how additional data added to data sets may affect these computations
of measures of central tendency.
| Strand |
Scope |
Source |
| Statistics, Data Analysis, & Probabi |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 1.2. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 1: AR-43, Chapter 2: GS-24, 31. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 3-4. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available.
|
|
|
Measures of Central Tendency: Outliers
The learner will be able to
understand how the inclusion or exclusion of outliers affects measures of central
tendency.
| Strand |
Scope |
Source |
| Statistics, Data Analysis, & Probabi |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 1.3. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 1: AR-43, Chapter 2: GS-24, 31, Chapter 5: GO-28, 43, 60. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 3-7. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available.
|
|
|
Measures of Central Tendency: Context
The learner will be able to
know why a specific measure of central tendency (mean, median, mode) provides
the most useful information in a given context.
| Strand |
Scope |
Source |
| Statistics, Data Analysis, & Probabi |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 1.4. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 1: AR-51, 52, 59; Chapter 2: GS-24, 31, 59, 82, 87; Chapter 5: GO-28, 112; Chapter 7: GH-73. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 3-4, 3-4B, 3-7. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available.
|
|
|
|
Statistics, Data Analysis, & Prob. 2.0
|
|
|
Samples of a Population
The learner will be able to
compare different samples of a population with the data from the entire population
and identify a situation in which it makes sense to use a sample.
| Strand |
Scope |
Source |
| Statistics, Data Analysis, & Probabi |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 2.1 |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 10: JM-32, 51, 77-87, 92, 112. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 11-1, 11-4. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available.
|
|
|
Sample Selection Methods
The learner will be able to
identify different ways of selecting a sample (e.g., convenience sampling, responses to a survey, random sampling) and which method makes a sample more representative for a population.
| Strand |
Scope |
Source |
| Statistics, Data Analysis, & Probabi |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 2.2. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 10: JM-51, 77-87, 92, 112. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 11-4. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available.
|
|
|
Data Display Analysis
The learner will be able to
analyze data displays and explain why the way in which the question was asked
might have influenced the results obtained and why the way in which the results were displayed might have influenced the conclusions reached.
| Strand |
Scope |
Source |
| Statistics, Data Analysis, & Probabi |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 2.3. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 10: JM-51, 66-70, 79, 80, 91, 93, 104-110, 112. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 1-1, 3-1, 3-2, 3-3, 3-5, 3-6, 3-7, 11-3. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available.
|
|
|
Sampling Errors
The learner will be able to
identify data that represent sampling errors and explain why the sample (and the
display) might be biased.
| Strand |
Scope |
Source |
| Statistics, Data Analysis, Probability |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 2.4. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 10: JM-51, 66-70, 91. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 11-4. |
| · |
PLATO Learning Inc., 2000, Modules:
Modules: [Software]. PLATO Lesson Not Available.
|
|
|
Validity of Statistical Claims
The learner will be able to
identify claims based on statistical data and, in simple cases, evaluate the validity
of the claims.
| Strand |
Scope |
Source |
| Statistics, Data Analysis, Probability |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 2.5; CA HSEE Math Blueprint, December 2000, 1 Test Item. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 10: JM-51, 66-70, 86, 91, 104-110. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 3-7. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available.
|
|
|
|
Statistics, Data Analysis, & Prob. 3.0
|
|
|
Probability: Compound-Event Outcomes
The learner will be able to
represent all possible outcomes for compound events in an organized way
(e.g., tables, grids, tree diagrams) and express the theoretical probability of each
outcome.
| Strand |
Scope |
Source |
| Statistics, Data Analysis, & Probabi |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 3.1; CA HSEE Math Blueprint, December 2000, 1 Test Item. |
| |
Instructional Resources |
| |
| · |
Skills Connection, EdVision.com, Version 2.1.0, 2001, Home Study Guide [On-line]. www.ouhsd.org/curriculum/math/doc/hsg6sdap3.1.htm |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 10: JM-1-12, 14-22, 30-33, 35, 39, 41, 42, 50, 52, 53-60. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 13-1, 13-2. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. }ta37 Organizing Data (course). |
|
| |
Assessment Resources |
| |
| · |
Skills Connection, EdVision.com, Version 2.1.0, 2001, Template: All Skills; Area: Mathematics [Software]. Unit: Probability/Statistics; Skills: Counting the Choices Grade 8.
|
|
|
Estimating Probability of Future Events
The learner will be able to
use data to estimate the probability of future events (e.g., batting averages or
number of accidents per mile driven).
| Strand |
Scope |
Source |
| Statistics, Data Analysis, & Probabi |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 3.2. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 10: JM-7, 17, 30, 40, 58-60. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 11-4, 13-4. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. }ta38 The Concept of Probability (course). |
|
|
Representation of Probabilities
The learner will be able to
represent probabilities as ratios, proportions, decimals between 0 and 1, and percentages between 0 and 100 and verify that the probabilities computed are
reasonable; know that if P is the probability of an event, 1-P is the probability of an event not occurring.
| Strand |
Scope |
Source |
| Statistics, Data Analysis, & Probabi |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 3.3; CA HSEE Math Blueprint, December 2000, 2 Test Items. |
| |
Instructional Resources |
| |
| · |
Skills Connection, EdVision.com, Version 2.1.0, 2001, Home Study Guide [On-line]. www.ouhsd.org/curriculum/math/doc/hsg6sdap3.3.htm |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 10: JM-2, 9, 11, 12, 14, 15, 18, 19, 28-31, 35, 39, 50, 53-60. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 4-8, 10-7, 13-1. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available. |
|
| |
Assessment Resources |
| |
| · |
Skills Connection, EdVision.com, Version 2.1.0, 2001, Template: All Skills; Area: Mathematics: [Software]. Unit: Probability/Statistics; Skills: Probability/Statistics-C Grade 7.
|
|
|
Two-Event Probability Estimates
The learner will be able to
understand that the probability of either of two disjoint events occurring is the sum
of the two individual probabilities and that the probability of one event following
another, in independent trials, is the product of the two probabilities.
| Strand |
Scope |
Source |
| Statistics, Data Analysis, Probability |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 3.4. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 10: JM-22, 28, 31, 32, 35, 43, 53-60, 71, 94, 115, 120. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 13-4. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available. |
|
|
Independent & Dependent Events
The learner will be able to
understand the difference between independent and dependent events.
| Strand |
Scope |
Source |
| Statistics, Data Analysis, Probability |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Statistics, Data Analysis, and Probability 3.5; CA HSEE Math Blueprint, December 2000, 1 Test Item. |
| |
Instructional Resources |
| |
| · |
Skills Connection, EdVision.com, Version 2.1.0, 2001, Home Study Guide [On-line]. www.ouhsd.org/curriculum/math/doc/hsg6sdap3.5.htm |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 10: JM-15-18, 20, 39-43, 50, 54, 55, 71, 94. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 13-4. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available. |
|
| |
Assessment Resources |
| |
| · |
Skills Connection, EdVision.com, Version 2.1.0, 2001, Template: All Skills; Area: Mathematics: [Software]. Unit: Probability/Statistics; Skill: Independent/Dependent Events Grade 8. |
|
|
|
Mathematical Reasoning 1.0
|
|
|
Problem Analysis
The learner will be able to
analyze problems by identifying relationships, distinguishing relevant from
irrelevant information, identifying missing information, sequencing and
prioritizing information, and observing patterns.
| Strand |
Scope |
Source |
| Mathematical Reasoning |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Mathematical Reasoning 1.1. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 7: GH-1. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 1-1, 1-6, 4-3, 5-7A. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. blm3h Problem Solving 1;
blm4o Problem Solving 2;
blm5m Problem Solving 3;
blm6s Problem Solving 4;
blm7g Problem Solving 5;
blm8f Problem Solving 6;
blm9j Problem Solving 7.
|
|
|
Mathematical Conjectures
The learner will be able to
formulate and justify mathematical conjectures based on a general description of the mathematical question or problem posed.
| Strand |
Scope |
Source |
| Mathematical Reasoning |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Mathematical Reasoning 1.2. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 4; MP-57, 91; Chapter 9: ZC-55, 58, 59. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 1-3, 1-7A, 1-7, 2-4, 6-6, 7-7, 10-5A, 10-5, 12-5. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available. |
|
|
Reducing a Problem to Simpler Parts
The learner will be able to
determine when and how to break a problem into simpler parts.
| Strand |
Scope |
Source |
| Mathematical Reasoning |
Introduce |
CA: Mathematics Content Standards, December 1997, Grade 6, Mathematical Reasoning 1.3. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 4: MP-57, 73-75, 86, 88, 98, 131-135; Chapter 5: GO-89, 124; Chapter 6: MB-77. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 11-1B, 12-4A, 12-4, 12-5. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. Included in previously identified Problem Solving lessons. |
|
|
|
Mathematical Reasoning 2.0
|
|
|
Estimation
The learner will be able to
use estimation to verify the reasonableness of calculated results.
| Strand |
Scope |
Source |
| Mathematical Reasoning |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Mathematical Reasoning 2.1. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 3: PR-117, 118, and others in the chapter; Chapter 5: GO-35, 41; Chater 7: GH-1. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 2-3B, 6-4, 7-1, 7-2, 7-3, 7-6, 7-9, 11-2, 12-2, 12-3. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. Included in previously identified Problem Solving lessons. |
|
|
Problem Solving: Simpler to Complex
The learner will be able to
apply strategies and results from simpler problems to more complex problems.
| Strand |
Scope |
Source |
| Mathematical Reasoning |
Introduce |
CA: Mathematics Content Standards, December 1997, Grade 6, Mathematical Reasoning 2.2. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 4: MP-73-75, 86, 88, 98, 99, 114, 129, 131-135. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 11-1, 11-1B. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. Included in previously identified Problem Solving lessons. |
|
|
Graphical Estimation
The learner will be able to
estimate unknown quantities graphically and solve for them by using logical
reasoning and arithmetic and algebraic techniques.
| Strand |
Scope |
Source |
| Mathematical Reasoning |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Mathematical Reasoning 2.3. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 1: AR-44, 63-69, 79, 80; Chapter 2: GS-9, 88. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 1-5, 3-2A, 3-2, 6-1, 6-1B, 6-2, 6-3, 6-7. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. Included in previously identified Problem Solving lessons. |
|
|
Mathematical Reasoning
The learner will be able to
use a variety of methods, such as words, numbers, symbols, charts, graphs, tables,
diagrams, and models, to explain mathematical reasoning.
| Strand |
Scope |
Source |
| Mathematical Reasoning |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Mathematical Reasoning 2.4. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 1: AR-82; Chapter 2: GS-84; Chapter 3: PR-111, Chapter 4: MP-128, Chapter 5: GO-118; Chapter 6: MB-120, Chapter 7: GH-130, Chapter 8: MC-141, Chapter 9: ZC-113; Chapter 10: JM-125. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 2-4, 3-5, 4-8, 6-1, 12-2. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. }ta21 Expressions (course). |
|
|
Expressing Solutions Mathematically
The learner will be able to
express the solution clearly and logically by using the appropriate mathematical
notation and terms and clear language; support solutions with evidence in both
verbal and symbolic work.
| Strand |
Scope |
Source |
| Mathematical Reasoning |
Introduce |
CA: Mathematics Content Standards, December 1997, Grade 6, Mathematical Reasoning 2.5. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 1: AR-82; Chapter 2: GS-84; Chapter 3: PR-111, Chapter 4: MP-128, Chapter 5: GO-118; Chapter 6: MB-120, Chapter 7: GH-130, Chapter 8: MC-141, Chapter 9: ZC-113; Chapter 10: JM-125. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 2-2, 3-4, 3-5, 6-4, 8-2, 8-6, 9-3. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. }ta21 Expressions (course). |
|
|
Exact & Approximate Solutions
The learner will be able to
indicate the relative advantages of exact and approximate solutions to problems
and give answers to a specified degree of accuracy.
| Strand |
Scope |
Source |
| Mathematical Reasoning |
Introduce |
CA: Mathematics Content Standards, December 1997, Grade 6, Mathematical Reasoning 2.6. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 9: ZC-2, 3, 12, 14, 15, 19, 21, 24, 25, 27, 30, 32-34, 43-46, 50, 51, 66, 85, 89, 93, 96, 101-105, 107, 109. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 1-7B, 2-2, 2-3, 2-6, 10-3, 10-6, 11-2. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available. |
|
|
Validity of Calculations: Context
The learner will be able to
make precise calculations and check the validity of the results from the context
of the problem.
| Strand |
Scope |
Source |
| Mathematical Reasoning |
Introduce |
CA: Mathematics Content Standards, December 1997, Grade 6, Mathematical Reasoning 2.7. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 6: MB-77. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 7-1, 7-3, 8-2, 11-2. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available. |
|
|
|
Mathematical Reasoning 3.0
|
|
|
Reasonableness of a Solution: Context
The learner will be able to
evaluate the reasonableness of the solution in the context of the original situation.
| Strand |
Scope |
Source |
| Mathematical Reasoning |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Mathematical Reasoning 3.1. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 6: MB-77-79. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 7-1, 7-3, 8-2, 11-2. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO provides instructional feedback throughout the lessons to assist
students in meeting this standard.
|
|
|
Conceptual Understanding of Derivations
The learner will be able to
note the method of deriving the solution and demonstrate a conceptual understanding of the derivation by solving similar problems.
| Strand |
Scope |
Source |
| Mathematical Reasoning |
Introduce |
CA: Mathematics Content Standards, December 1997, Grade 6, Mathematical Reasoning 3.2. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 6: MB-77-79. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 2-3B, 3-2A, 4-4A, 9-4B, 12-1B. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. Worksheets are available for Math Fundamentals and Towards Algebra curriculum for students to demonstrate their problem solving methods.
|
|
|
Generalizations of Results: Application
The learner will be able to
develop generalizations of the results obtained and the strategies used and apply them in new problem situations.
| Strand |
Scope |
Source |
| Mathematical Reasoning |
Master |
CA: Mathematics Content Standards, December 1997, Grade 6, Mathematical Reasoning 3.3. |
| |
Instructional Resources |
| |
| · |
CPM Foundations for Algebra: Year 2, CPM Educational Program, First Edition, v. 2.0, 2001, Problems: [Textbook]. Chapter 6: MB-77-79. |
| · |
GLENCOE Mathematics: Applications and Connections,, Course 2, California Edition, Glencoe/McGraw-, 2002, Lesson References, Chapter-Section: [Textbook]. 1-1, 10-3. |
| · |
PLATO Learning Inc., 2000, Modules: [Software]. PLATO Lesson Not Available. |
|
|
|
