Calculus Solutions Manual (Art of Prob Solvng

SKU
051931
ISBN
9781934124253
Grade 9-12
Neutral
Low Teacher Involvement
Multi-Sensory
No other materials needed
Sequential
Teaching Method
Traditional
Teacher-centered curriculum commonly used in classrooms that may include a text, teacher manual, tests, etc.
Charlotte Mason
A methodology based on the work of a 19th century educator who maintained that children learn best from literature (Living Books), not textbooks.
Classical
A methodology based on the Latin Trivium (three stages of learning), including the grammar stage (memorization and facts), logic stage (critical thinking), and rhetoric stage (developing/defending ideas).
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Montessori (Discovery)
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Learns through seeing, prefers written instructions and visual materials.
Kinesthetic/Tactile (Hands-On)
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Curriculum progresses through well-defined learning objectives. Emphasizes mastery before moving to the next topic.
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Topics and concepts are repeated from level to level, adding more depth at each pass and connecting with review.
Conceptual/Topical
Focus is on the “why,” often with a unifying concept as well as specific skills; coverage may be broader.
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Low Teacher Involvement
Student-led materials; parent acts as a facilitator.
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No other materials needed
Everything you need is included.
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$11.00
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Description

The solution manuals do contain complete solutions and explanations to all the exercises, review problems and challenge problems. It is best for students not to access these until they have made several attempts to solve the problems first.

Category Description for Art Of Problem Solving
This is an outstanding math program for the math-gifted student. It is rigorous and oriented to the independent problem-solver. The Texts are student-directed, making them perfect for the independent learner or homeschooler. Based on the premise that students learn math best by solving problems – and preferably problems that they don’t already know how to solve - most sections begin by presenting problems and letting students intuit solutions before explaining ways to solve them.  Textual instruction, then, is given in the context of these problems, explaining how to best approach and solve them.  Throughout the text there are also special, blue-shaded boxes highlighting key concepts, important things to retain (like formulas), warnings for potential problem-solving pitfalls, side notes, and bogus solutions (these demonstrate misapplications). There are exercises at the end of most sections to see if the student can apply what’s been learned.  Review problems are found at the end of each chapter. The Solution Manuals contain complete solutions and explanations to all the exercises, review problems and challenge problems. It is best for students not to access these until they have made several attempts to solve the problems first. One motivating box in the text coaches, “If at first you don’t know how to solve a problem, don’t just stare at it. Experiment!” That pretty much sums up the philosophy of the course, encouraging children to become aggressive problem solvers. Students should start the introductory sequence with the Prealgebra book and continue through the series. If you are coming into this course from another curriculum, you will probably want to take a placement test to decide where to enter this program. The introduction and intermediate series together constitute a complete curriculum for outstanding math students in grades 6-12.

The intermediate series picks up where the introductory series leaves off. Please read that description (immediately preceding this one) as it applies to this series as well. Note that all AOPS books are intended for high-performing (motivated) math students. These are rigorous texts that require a high level of commitment from students, but the benefits are worth the extra effort. For comparison, this curriculum is more advanced than Saxon and rather like Life of Fred on steroids. It is like LOF in that often, teaching takes place through problem solving, even in the solutions to the problems. These books are huge compared to the LOF volumes which are, even then, largely devoted to the story of Fred's life. Math in LOF is taught in that context; we understand that Fred needs to calculate the derivative of a stock market equation in order to invest his penny while the slope is increasing AND why discovering that vertical asymptote resulted in his becoming a millionaire. Here, the heart of the course is the problem-solving. Virtually all of the text is devoted to this. Students are preparing for problem-solving competitions here and learning techniques and strategies to win. The other MAJOR difference is the amazing, complete solution manual provided in the AOPS curriculum. After working in LOF Calculus with Stephen, I REALLY appreciate having more than just an answer (honestly, it would be nice to not have to work through the problems myself when a question arises-call me lazy).

Students beginning this series should have either completed the Introductory level or, if coming from another curriculum, have completed Algebra I and Geometry at a minimum. Even then, they should take the diagnostic test for AOPS Introduction to Algebra and only tackle Intermediate Algebra if indicated. After completing Intermediate Algebra, students can choose to take either Intermediate Counting & Probability or Precalculus next, or do both simultaneously. Both should be completed before beginning Calculus. A brief description of courses appears below; see our website Table of Contents pages for a more complete scope and sequence.

Category Description for Art Of Problem Solving Calculus

More intense than a normal high school or first-year college course, this is a full course in single-variable calculus.

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Product Format:Softcover Book
Brand:Art of Problem Solving
Grades:9-12
ISBN:9781934124253
Length in Inches:11
Width in Inches:8.4375
Height in Inches:0.5
Weight in Pounds:0.6875
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