Calculus with Trigonometry and Analytic Geometry

by HMHhttps://www.hmhco.com/

MathGrades 11–12

About This Curriculum

A comprehensive calculus curriculum using Saxon's incremental approach that covers calculus, trigonometry, and analytic geometry with extensive real-world applications in physics, chemistry, engineering, and business.

What makes it unique: Incremental development with continuous review and practice, allowing many students to learn calculus independently through Saxon's proven spiral methodology

Calculus with Trigonometry and Analytic Geometry: Saxon Incremental Method

A comprehensive calculus curriculum using Saxon's incremental approach that covers calculus, trigonometry, and analytic geometry with extensive real-world applications. The program follows Saxon's spiral methodology where concepts are introduced gradually and reviewed continuously throughout the course.

Best for

Self-motivated high school students (grades 11-12) planning careers in engineering or applied sciences who can work independently and benefit from extensive practice and review

Evaluation Criteria

4 strengths · 1 concern · 2 neutral · 2 insufficient evidence

Word ProblemsStrength

Extensive real-world applications across multiple STEM disciplines, though specific word problem instruction methodology is unclear.

Reviews emphasize 'numerous applications in physics, chemistry, engineering, and business are used throughout the text' and note the curriculum's strength in applied contexts

Retrieval PracticeStrength

Strong emphasis on continuous review and spaced practice through Saxon's incremental methodology with daily mixed practice sets.

Reviews highlight 'constant review of previously learned concepts' in each lesson and describe assignments as 'one lesson per day four days a week plus 15 problems for homework, along with weekly testing'

Sequencing ApproachStrength

Uses Saxon's signature incremental spiral approach where concepts are introduced in small increments and continuously reviewed in later lessons.

Reviews describe how 'each new concept is presented in increments then reviewed in later lessons' and 'concepts are introduced simply, then each time a concept is revisited, it is with more depth and complexity'

Conceptual Procedural BalanceStrength

The curriculum emphasizes applications over theory, with instruction beginning with conceptual explanations and applications before moving to proofs.

Reviews note that 'instruction on new concepts begins with applications or conceptual explanations and ends with proofs' and includes 'numerous applications in physics, chemistry, engineering, and business'

Teacher TrainingConcern

Limited teacher support materials, with solution manual available separately but minimal pedagogical guidance mentioned.

Reviews mention that 'the Solution Manual is extra' and has 'complete solutions to all problems' but don't describe teacher training or pedagogical support materials

Direct InstructionNeutral

The curriculum is designed for independent study with clear explanations, suggesting a structured direct instruction approach.

Reviews note that 'most students should be able to work independently' due to clear explanations, and 'many students can learn calculus on their own' following the incremental method

Assessment DiagnosticNeutral

Regular testing is included with weekly assessments, though specific diagnostic capabilities are not detailed.

Reviews mention 'weekly testing' and that 'tests for home educators' are included in the homeschool kit, but don't describe diagnostic features

Worked ExamplesInsufficient Evidence

Limited evidence of systematic worked examples, though explanations are described as clear and easy to understand.

Reviews mention that 'explanations are easy to understand so most students should be able to work independently' but don't specifically describe worked example methodology

Visual RepresentationsInsufficient Evidence

No specific evidence found regarding visual models, manipulatives, or graphical representations in the curriculum materials.

Reviews focus on the incremental approach and applications but do not mention visual learning aids or representations

Review Sources

web_search

Orison Orchards

cathyduffy

Cathy Duffy

Key Facts
GradesGrades 11–12
SubjectMath
PedagogyTraditional
Faith-BasedNo
FormatDigital + Physical
Pricing$157.77 at Amazon.com | $147.19 Used at Amazon.com Marketplace | $107.49 at Christianbook.com | $105.95 at Rainbowresource.com

Looking for something different?

If none of these options feel right, explore a non-traditional approach. Pallas Center offers a unique curriculum, or design your own with Palladay.

Data sources: cathyduffy