Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Building Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling, with chapters on Logic and Pattern Based Reason to inform and amuse.

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 12+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5. Fraction Operations by Raising Terms Solving Linear Equations: Take I Take II


Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math
, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles

Welcome:Site material may develop critical thinking, improve reading and writing, and build mathematics and pattern based reasoning skills. Online Volumes 1, 1A and 2 give avid readers in school and out the best places to begin.

Teachers & Tutors: This December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 focus on skills with actual or potential local value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

Home < Parent Center << 17 Math Booklets for children and young teenagers

[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17][18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31]


Mathematics Booklets children and young teens [Pre-K to K8]

The following books or booklets provide exercises that parents, tutors or teachers may easily understand and supervise in the skill development of children and young teenagers. These booklets provide a step by step paths for skill development, altogether well-done. A survey of local expectation - what is taught and when - may guide parents in the use of these booklets. In-class and home instruction could cover the material nominally for pre-K to grade 8 more quickly, and might easily finish all before end of grade 7. In the first instance, a subset of the following booklets should be sufficient for the education of students 3+ to 13 years.

Usage: Build skills and confidence by starting with a booklet just before the current level of your child or teen, and then directly the child or teen to do say every third question in the large exercise sets. Then provide feedback in a way that builds or maintains enthusiasm and builds skills and confidence. Good luck. The booklets are commonly available in the US and Canada. So they are have a North American orientation. Use them or look for local alternatives.

These booklets cover in part the five application areas (time and date matters, money matters, map and plan matters, weights and measures, and matters of chance) identified in site pages as having take-home value. The application areas will not be emphasized in primary and secondary school for the foreseeable future. But they provide possibilities for future course designers to consider. They may also provide ideas for parents or teachers to employ in enriching local instruction after local requirements have been met.

A. Numbers and Counting, Pre-School,

Title: Little Critter®, Numbers and Counting, PreSchool
Author: The School Specialty Publishing Editorial/Publishing Team
ISBN 0-7696-5199-2
Publisher: School Specialty Publishing, OH 43240-2111
Website: www.SchoolSpecialityPublishing.com

B. MATH - Getting your PRESCHOOLER ready for math, Ages 3+, Active Minds

Title: MATH - Getting your PRESCHOOLER ready for math,
Author: Marillee Robin Burton,
Publisher: Active Minds, Lincolnword IL 60712,
Book IDs: IBSN-13: 978-1-4127-1231-6 & IBSN-10: 978-1-4127-1231-9

Ordering Information: Visit the active minds online contact us page for phone numbers and email addresses.

This work to quote and to agree its back cover and front matter:

  • will help your child learn Numbers, Counting, Shapes, Telling Time, etc.

  • includes color by number drawing exercise, and bright lively work sheets,

  • Each activity is clearly labeled with the skill it teaches.

The book is written with the idea that parents will give and supervise the activities (short drills and exercises) in it, one per page. On each activity page, there is small note to identity what skill is being developed or checked. The note may also include remarks or directions for parents on what to check or how to supervise.

C. MATH - 101 Things First Graders should know about math

Title: MATH - 101 Things First Graders should know about math, Ages 5+
Author: Peg Hall
ISBN-13: 978-1-4127-1235-4 & ISBN-10: 1-4127-1235-1
Publisher: Active Minds, IL 60712 USA

The back cover mentions the following skills

  • Adding and Subtracting

  • Telling Time

  • Understanding Place Value

  • Counting Money

  • Working with Fractions.

The front cover mentions sequential thinking and memory builders. We will see what that means.

Each activity is labeled by the skill it develops or checks, often with directions for parents on how to guide their child.

E. Time, Money & Fractions, An I KNOW IT!â„¢ BOOK, Grades 1-2, School Zone.

Title: Time, Money and Fractions, Grades 1-2
Author: Barbard Bando Irvin, Ph. D.
ISBN- 0-938256-44-0
Publisher: School Zone Publishing Company, P.0. Box 777, MI 49417, USA

Front matter describes this work well

Progressive (Step by Step) Skills and Concept Development

  • Pages 1 to 11 focus on money matters, working with coins and amounts of money to 99 cents. These pages cover nickels, dimes, quarters, half-dollars as they might appear in shopping in saving money and in adding amounts of money.

  • Pages 11 to 19 cover time telling matters with analog clocks (clocks with hands) first in hours, then in half-hours, then quarter hours and finally, in multiples of five minutes. The pictures are well done.

  • Page 20 to 27 cover the concept of fractions of shapes and the need for equal parts of shapes (circles, squares, triangles, further polygons with some symmetry) in order to to describe collections of equal parts as fractions. Fractions go from one half to m seven eighths.

  • Pages 28 to 30 cover the concept of fractions of groups (or sets). In retrospect, any small multiple of 2, 3, 4, 5 or 8, may be divided into non-overlapping subgroups of equal size (equal counts). For a given group, division into subgroups of the same size leads to fractions of the group.

Oops, the additions on page 11 require carries and amount more than one dollar. That departs from the progressive skill development. This Time, Money and Fraction booklet complements very nicely the Active Minds booklet above.

F. Math Basics, Grade 2, An I KNOW IT!â„¢ BOOK, Grades 2, School Zone.

Title: Math Basics, Grades 2, An I Know It!â„¢ Book.
Author: Barbard Bando Irvin, Ph. D.
ISBN- 0-978-088743-138-8
Publisher: School Zone Publishing Company, P.0. Box 777, MI 49417, USA

Description: to come

G. Math Grade 2, McGraw Hill

Title: Math Grade 2,
Authors: T.J. Richards & M. D. Freeman
ISBN 1-5776802-3
Publisher: McGraw-Hill Children's Publisheing
www.littlecritter.com

I would prefer the term rewriting instead of renaming in the discussion of conversion, carries, borrows in decimal method for addition and subtraction. Chapters 4 to 6 are well-done, Chapter 4 especially.

Most if not all pages begin with a worked exercise to provide a model for page content.

Chapter 1, Addition and Subtraction - Number or numerals 1 to 10)

Chapter 2, Numeration - Numbers or numerals 0 to 99.

Chapter 3, Addition and Subtraction, Numbers 11 to 18

Chapters 4, Fractions and Measurement.

  • Introduces calendar use and interpretation questions for a single month and then for single year. Well-done.
  • It draws very neat pictures to introduced measuring length with whole numbers of centimeters or inches. Well-done

Chapter 5, Addition and Subtraction
2 digit numbers with no renaming, no carries, nor conversions

Giving students an addition table to fill or use before starting this chapter would be useful.

Chapter 6, Addition and Subtraction
2 digit numbers with renaming, carries, conversions

Chapter 7, Numeration, Addition and Subtraction
3 digit numbers with no renaming, carries nor conversions

In this chapter, the concept of numbers one hundred and above without an full introduction. That is a skill development jump which an adult will have to fill outside of book pages. So numeration skill development is incomplete. Ouch. I had hoped for more. that be said, the next booklet provides a clear remedy.

H. Math Skill Builders, Grades 2-3

Title: Math Basics, Grades 2, An I Know It!â„¢ Book.
Author: Barbard Bando Irvin, Ph. D.
ISBN- 0-307-03655-3
Publisher: Golden Books Publishing Company, London WC1H 95U

The front cover points to

  • Learn about greater than > and less than <

  • Practice adding and subtracting (2 digit numbers)

  • Learn about money and fractions - the money is US

I. Math Smart, Grade 3, Popular Book Company

Title: Math Basics, Grades 2, An I Know It!â„¢ Book.
Author: None Listed.
ISBN- 1-896477-46-1
Publisher: Popular Book Company (Canada) Ltd www.popularbook.ca
Distributed in Canada by Monarch Books: www.monarchbooks.ca

Topics:

Multiples of Numbers 2 to 11
Multiples of 2: Even and Odd Numbers
Order of Operation Matters
Place Value or Column Methods for Addition and Subtraction
Place Value or Column Methods for Multiplication
Long Division Format
Metric Units for Length Measurement
TIME in hours, minutes and seconds
Geometry - Different kinds of Triangles
Geometry - Perimeters of Polygons - Trap to Avoid.
Statistics - Tally Marks and Reading/Completing Bar Charts
Place Value for Five Digit Numbers
Factors by Inspection:
Division with three digit dividends and one digit divisors.
Arithmetic expressions mixing addition, subtraction, multiplication and division (evaluation)
Fractions
Geometry - Symmetry and Tessellations
Geometry - Naming and Recognizing Prisms and Pyramids,
Statistics: Bar Graphs and Circle Graphs:
Geometry: Transformation and grid concepts

J. Multiplication and Division, Grades 3- 4

Title: Multiplication and Division, , Grades 3- 4, An I Know It!â„¢ Book.
Author: Barbard Bando Irvin, Ph. D.
ISBN- 0-938256-34-3
Publisher: School Zone: www.schoolzone.com

The next booklet also includes multiplication and division questions. The introduction here is simpler than the previous one - Do First

K. Math Basics, Grade 4,

Title: Math Basics, Grade 4,
Author: B. Bando Irvin, Ph. D
ISBN 0-938256-33-5
Publisher: School Zone Publishing Company.
P.O. Box 777, Grand Haven MI49417, USA
Website: www.schoolzone.com

  • Place Value to Millions

  • Subtraction with Regrouping (Renaming)

  • Division with Remainders

  • Multiplication with Regrouping

  • Comparing Fractions

L. Math, Grade 4.

Title: Math Grades 4, 150+ pages
Author: Thomas J. Richards.
ISBN 1-57768-404
Publisher: McGraw Hill Children Publishing. 1999

Each lesson begins with a worked example that a parent may follow and explain. Some children may be able to follow by themselves. The text is strong on explaining the mechanics of operation by example.

This work begins with a readiness check - a test that you might give your child to see if they are prepared for this work. Similarly, each of the 13 chapters begins a with a pre-test and ends with an end of chapter test.
In each chapter, there is one lesson per page.

So this text is very usable by parents who are checking or developing skills. Each page consists of multiple exercises. I suggest you have your child or student do every fourth one, and if necessary do more if the an end of chapter test points to incomplete understanding. However, in correcting student work, the best way to proceed is to try to pinpoint the source of error, and address the source alone or with some review of earlier material to restore and build confidence. Good luck.

  • Chapters 1 to 3 cover column methods for addition and subtraction of 1 to 5 digit numbers.

  • Chapters 4 to 7 cover column methods for multiplication of 1 to 4 digit multipliers.

  • Chapter 7 covers temperature and money matters.

  • Chapters 8 to 9 cover division of 1 to 4 digit numbers by single digit divisors

  • Chapter 10 covers Multiplication and Division together, how multiplication reverses division (I would do emphasize the vice-versa as well), and how Division with remainders may be checked by a multiplication and an addition.

  • Chapter 12 covers metric measurements for length, volume or capacity, and for mass (weight)

  • Chapter 13 covers non-metric measures: feet and inches, gallons, weight and time. (Time might be included with the metric measures)

Again the book is good at illustrating the mechanics of decimal arithmetic with whole numbers.

M. Math, Grade 5.

Title: Math Grades 5, 158+ pages
Author: Thomas J. Richards.
ISBN 1-57768-405-2
Publisher: McGraw Hill Children Publishing. 1999

Each lesson begins with a worked example that a parent may follow and explain. Some children may be able to follow by themselves. The text is strong on explaining the mechanics of operation by example.

This work begins with a readiness check - a test that you might give your child to see if they are prepared for this work. Similarly, each of the 13 chapters begins a with a pre-test and ends with an end of chapter test.
In each chapter, there is one lesson per page.

So this text is very usable by parents who are checking or developing skills. Each page consists of multiple exercises. I suggest you have your child or student do every fourth one, and if necessary do more if the an end of chapter test points to incomplete understanding. However, in correcting student work, the best way to proceed is to try to pinpoint the source of error, and address the source alone or with some review of earlier material to restore and build confidence. Good luck.

  • Chapters 1: Addition and Subtraction of 2 to 6 digit numbers

  • Chapter 2 - Multiplication from 2 digit by 1digit to 4 digit by 3.

  • Chapters 3 - Long Division by 1 digit divisors

  • Chapter 4 - Long Division by 2 digit divisors.

  • Chapter 5- More on Division

  • Chapter 6: Metric Measurements

  • Chapter 7: Customary Units (non-metric)

  • Chapter 8: Fractions and Mixed Numerals

  • Chapter 9: Multiplication of Fractions

  • Chapter 10: Addition of Fractions with like and unlike denominators

  • Chapter 11: Subtraction of Fractions

  • Chapter 12: Geometry (lines and line segments, angles, polygons & circles, 3D objects)

N. Math Basics, Grade 5

Title: Math Basics, Grade 5
Author: B. Bando Ivin, Ph. D
ISBN 0-978-088743-1412-8
Publisher: School Zone Publishing Company.
P.O. Box 777, Grand Haven MI49417, USA
Website: www.schoolzone.com

  • Math Operations

  • Decimals

  • Percents

  • Measurement

  • Fractions

  • Estimation

O. Math, Grade 6.

Title: Math Grades 6, 150+ pages
Author: Thomas J. Richards.
ISBN 1-57768-406-0
Publisher: McGraw Hill Children Publishing. 1999

Each lesson begins with a worked example that a parent may follow and explain. Some children may be able to follow by themselves. The text is strong on explaining the mechanics of operation by example.

  • Chapters 1: Addition and Subtraction of Whole Numbers (K5 stuff)

  • Chapter 2 - Multiplication and Division of Whole Numbers (K5 stuff)

  • Chapters 3 - Multiplication of Fractions

  • Chapter 4 - Addition and Subtraction of Fractions

  • Chapter 5- Division of Fractions

  • Chapter 6: Addition and Subtraction of Decimals to ten-thousandths

  • Chapter 7: Multiplication of Decimals

  • Chapter 8: Division of Decimals

  • Chapter 9: Metric Measurement for length, area, volume, capacity and wieght
    (here kg and grams are used as measure of weights - a slight oops to be corrected in senior high school courses)

  • Chapter 10: Customary (US or Imperial?) measures of length, area, volume, capacity, weight and time

  • Chapter 11: Percents, Fractions and Decimals (Conversion Between)

  • Chapter 12: Geometry (lines, line segments, rays, angles, triangles & quadrilaterals)

P. Spectrum MATH - Grade 7

Title: Spectrum Math - Grade 7
Author:
ISBN 0-7696-3697-5
Publisher: Frank Schaffer Publications, 8720 Orion Place,
Columbus, Ohio 43340-2111
Website: www.SchoolsSpecialtyPublishing.com

Most lessons begins with a worked example that a parent may follow and explain. Some children may be able to follow by themselves. So this text is very usable by parents who are checking or developing skills. Each page consists of multiple exercises. I suggest you have your child or student do every fourth one, and if necessary do more if the an end of chapter test points to incomplete understanding. However, in correcting student work, the best way to proceed is to try to pinpoint the source of error, and address the source alone or with some review of earlier material to restore and build confidence. Good luck.

  • Chapters 1: Whole Numbers

  • Chapter 2: Fractions

  • Chapters 3 - Decimals

  • Chapter 4 - Finding Percents

  • Chapter 5- Calculating (Simple) Interest

  • Chapter 6: Ratio and Proportion

  • Chapter 7: Customary Measurements (non-metric)

  • Chapter 8: Metric Measurement

  • Chapter 9: Probability and Statistics

  • Chapter 10: Geometry

  • Chapter 11: Perimeter, Area and Volume

  • Chapter 12: Preparing for Algebra (not bad)

Page 16 misuses the equal sign: It should have written

7 14
21
= 7 14 ÷ 7
21 ÷ 7
= 7 2

Q. Spectrum MATH - Grade 8

Title: Spectrum Math - Grade 7
Author:
ISBN 0-7696-3697-5
Publisher: Frank Schaffer Publications, 8720 Orion Place,
Columbus, Ohio 43340-2111
Website: www.SchoolsSpecialtyPublishing.com

Most lessons begins with a worked example that a parent may follow and explain. Some children may be able to follow by themselves. So this text is very usable by parents who are checking or developing skills. Each page consists of multiple exercises. I suggest you have your child or student do every fourth one, and if necessary do more if the an end of chapter test points to incomplete understanding. However, in correcting student work, the best way to proceed is to try to pinpoint the source of error, and address the source alone or with some review of earlier material to restore and build confidence. Good luck.

  • Chapters 1: Whole Numbers, Decimals, Fractions

  • Chapter 2: Ratio and Proportion

  • Chapters 3 - Percents and Interest (Simple & Compound)

  • Chapter 4 - Customary Measurements (non-metric)

  • Chapter 5- Metric Measurement

  • Chapter 6: Probability and Statistics

  • Chapter 7: Geometry

  • Chapter 8: Perimeter, Area and Volume

  • Chapter 9: Preparing for Algebra (Better)

R. Math, Grade 8.

Title: Math Grades 8, 158+ pages
Author: Thomas J. Richards.
ISBN 1-56189-908-9
Publisher: McGraw Hill Children Publishing. 1999

Each lesson begins with a worked example that a parent may follow and explain. Some children may be able to follow by themselves. The text is strong on explaining the mechanics of operation by example.

This work begins with a readiness check - a test that you might give your child to see if they are prepared for this work. Similarly, each of the 13 chapters begins a with a pre-test and ends with an end of chapter test.
In each chapter, there is one lesson per page.

So this text is very usable by parents who are checking or developing skills. Each page consists of multiple exercises. I suggest you have your child or student do every fourth one, and if necessary do more if the an end of chapter test points to incomplete understanding. However, in correcting student work, the best way to proceed is to try to pinpoint the source of error, and address the source alone or with some review of earlier material to restore and build confidence. Good luck.

  • Chapters 1: Arithmetic with Whole Numbers, Decimals and Fractions

  • Chapter 2 - Equations (Linear, in One Unknown)

  • Chapter 3: Using Equations to Solve Problems

  • Chapters 4 - Ratio, Proportion and Percent

  • Chapter 5 - Interest (Simple and Compound)

  • Chapter 6 - Metric Measurements

  • Chapter 7 - Measurement and Approximation

  • Chapter 8: Geometry

  • Chapter 9: Similar Triangles and the Pythagorean Theorem

  • Chapter 10: Perimeter, Area and Volume

  • Chapter 11: Graphs

  • Chapter 12: Probability
















Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.


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Home < Parent Center << 17 Math Booklets for children and young teenagers

[1] [2] [3] [4] [5] [6] [7] [8] [9] [10] [11] [12] [13] [14] [15] [16] [17][18] [19] [20] [21] [22] [23] [24] [25] [26] [27] [28] [29] [30] [31]


Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity
Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards
More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers
Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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