Semple Math Products

Complete Level One Set

Scope and Sequence

Numeration: Base 10 numbers 1-999, amounts of $0.01-$999.99, Cardinal vs. Ordinal numbers, and meaning and function of zero in addition.

Operations: Concept of addition, addition facts to 18, single- and multi-digit column addition, regrouping in addition, and the commutative property of addition.

Place Value: Chip trading in Base 10; counting, trading, and recording pennies, dimes, ones, tens, and hundreds; meaning, placement, structures, and functions of ones, tens, and hundreds in Base 10 whole and rational number systems.

Organizational Skills: Formation, orientation, and alignment of numerals; procedure for setting up single- and multi-digit additions; sequence for attacking word problems.

The Checkbook: Sub-skills necessary for keeping a checkbook.

Word Problems: Hierarchical introduction of one-sentence word problems involving concrete language to three-sentence problems involving abstract language (addition).

Money: Reading, writing (to dictation), and making amounts from $0.01 to $999.99.

Base 10 Structures: Visual and auditory discrimination exercises that enable students to generate an image of the inner and outer structures of the whole and rational number systems.

Rounding and Estimating: Bigger vs. smaller and ordering 0-9.

Fractions: Pennies and dimes as part of a dollar. Separation of whole and rational numbers concretely.

Building Self Esteem: Special skills, sequence, and memory aides enable students to succeed consistently. Reward system involving chip trading, money, and place value provides immediate and long-term gratification.

Developing Thinking Skills: Participation in Semple Math dialogs requires students to think, compare, analyze, and make decisions at every step of the learning process.

Complete Level Two Set

Scope and Sequence

Numeration: Expansion of skills from Level 1. Numbers 1,000-999,999,999 and amounts $1,000-$999,999,999.99, the complements, Base 10 numbers 001-100, and the meaning and function of zero in subtraction.

Operations: Concept of subtraction, subtraction facts to 18, multi-digit subtractions, regrouping in subtraction, and subtraction with zero. Review of Level I addition.

Place Value: Meaning and function of ones, tens, hundreds, one thousand, ten thousands, hundred thousands, one millions, ten millions, and hundred millions. Review of Level I.

Organizational Skills: The setting up of multi-digit subtractions and attacking of word problems involving subtraction. Review and expansion of Level I procedures.

The Checkbook: The use of checks, deposit slips, checkbooks, and the language of banking systems.

Word Problems: Hierarchical introduction of problems involving concrete and abstract language (subtraction). Teaches clues for determining operation (+ and -). Review of Level I.

Money: Reading, writing (to dictation), and making amounts to $999,999,999.99 and making change from $1.00, $10.00, and $100.00. Review of Level I.

Base 10 Structures: Continued development of visual and auditory discrimination of inner and outer structures of Base 10 to the millions. Review of Level I.

Rounding and Estimating: Introduction of concept of rounding, rounding to the nearest ten, hundred, and thousand.

Fractions: Concept of part vs. whole as it applies to money.

Building Self-Esteem: Special sequence and memory clues enable students to succeed. A built-in reward system includes the teaching of money, place value, and the checkbook.

Developing Thinking Skills: Dialogs in each lesson require students to think, compare, and make decisions.

Complete Level Three Set

Scope and Sequence Numerations: Review and expansion of skills from Levels I and II.

Operations: Concept of multiplication, multiplication facts, long multiplication, regrouping in multiplication, multiplication with zero, and commutative property of multiplication. Review of addition and subtraction.

Place Value: Concepts taught in Levels I and II applied to addition, subtraction, and multiplication.

Organizational Skills: Procedures for setting up long multiplication and attacking word problems involving multiplication. Review of Levels I and II.

Money: Introduction of nickels, half dollars, and five-dollar bills in the change-making process. Interrelation of nickels, half dollars, and five-dollar bills with the Base 10 value structures. Review of Level I and II.

Rounding and Estimating: Review and reinforcement of rounding off skills and concept.

Fractions: Introduction of concept of one-half as it relates to money, shape, and Base 10. Review of Levels I and II.

Building Self-Esteem: Continued employment of success as a motivator with a built-in reward system.

Developing Thinking Skills: Questioning techniques in the form of dialogs require students to think and make decisions.

Complete Level Four Set

Scope and Sequence Numeration: Review and expand skills from Levels I, II, and III. Amounts to the billions.

Operations: Review and expand addition, subtraction, and multiplication. Introduce the concept of division, the vocabulary of division, division, long division, remainders, zero in division, and regrouping in division.

Place Value: Review and expand knowledge of place value. Apply previously learned skills to billions; continue associations with people living in houses on Whole Number Street. Use images to help students form an understanding of the concept of place value.

Organizational Skills: Review procedures for setting up and interpreting math problems. Skills presented in a specific sequence induce aptitude for self organization. Scripted dialogs between teacher and student keep student processing at the cognitive level.

The Checkbook: Continued use of the checkbook and the language of the banking system, used in conjunction with a behavior modification program.

Word Problems: Review and expand skills from Levels I, II, and III. Continue building an abstract vocabulary in word problems. Introduce mathematical vocabulary and connect it with Semple Math’s image-making vocabulary.

Money: Continue to review and reinforce both abstract and image-making terms. Emphasize the connection between fractions and coins.

Base 10 Structures: Review and reinforce concept of Base 10. Review mnemonics for helping students to understand place value. Mnemonic images bring structures to life.

Rounding and Estimating: Review rounding from previous Levels. Introduce estimating. Use two rounded numbers to estimate total.

Fractions: Review fractions, decimals, and percents. Introduce LCM and LCD. Add, subtract, multiply, and divide like and unlike fractions. Change fractions to decimals, and decimals to fractions. Change mixed numbers to improper fractions, and improper fractions to mixed numbers.

Building Self-Esteem: Use success as a motivator. Continued use of mnemonics and a special sequence of skills enables all students to succeed.

Develop Thinking Skills: The questioning techniques in the form of scripted dialogs require students to pay attention, think, compare, analyze, and make decisions.

Complete Core Porgram, Levels 1 thru 4

This kit includes all four levels of the entire Core Program!

Complete Level One Set

Scope and Sequence

Numeration: Base 10 numbers 1-999, amounts of $0.01-$999.99, Cardinal vs. Ordinal numbers, and meaning and function of zero in addition.

Operations: Concept of addition, addition facts to 18, single- and multi-digit column addition, regrouping in addition, and the commutative property of addition.

Place Value: Chip trading in Base 10; counting, trading, and recording pennies, dimes, ones, tens, and hundreds; meaning, placement, structures, and functions of ones, tens, and hundreds in Base 10 whole and rational number systems.

Organizational Skills: Formation, orientation, and alignment of numerals; procedure for setting up single- and multi-digit additions; sequence for attacking word problems.

The Checkbook: Sub-skills necessary for keeping a checkbook.

Word Problems: Hierarchical introduction of one-sentence word problems involving concrete language to three-sentence problems involving abstract language (addition).

Money: Reading, writing (to dictation), and making amounts from $0.01 to $999.99.

Base 10 Structures: Visual and auditory discrimination exercises that enable students to generate an image of the inner and outer structures of the whole and rational number systems.

Rounding and Estimating: Bigger vs. smaller and ordering 0-9.

Fractions: Pennies and dimes as part of a dollar. Separation of whole and rational numbers concretely.

Building Self Esteem: Special skills, sequence, and memory aides enable students to succeed consistently. Reward system involving chip trading, money, and place value provides immediate and long-term gratification.

Developing Thinking Skills: Participation in Semple Math dialogs requires students to think, compare, analyze, and make decisions at every step of the learning process.

Level One Workbook A

This book contains independent activity sheets correlated to Lessons 1 through 17 of the corresponding Teacher’s Manual. These sheets provide valuable reinforcement and are essential to the program.

Level One Workbook B

This book contains activity sheets correlated to lessons 18 through 34 in the corresponding Teacher’s Manual. These sheets provide valuable reinforcement and are essential to the program.

Level One Workbook C

This book contains activity sheets correlated to lessons 35 through 52 in the corresponding Teacher’s Manual. These sheets provide valuable reinforcement and are essential to the program.

Level One Teacher’s Manual

Level One focuses on addition while developing many related skills. This book contains 52 lessons, a convenient overview and useful appendices that provide many teaching resources. Each lesson begins with a measurable objective and straightforward teaching activity that will allow your students to achieve the objective. The lesson also includes a ‘Special Problems’ segment that describes specific teaching strategies for learning problems experienced by math-disabled students. Numerous optional games, activities and teacher-made supplementary materials are also included. A special section called ‘Older Disabled Students’ explains procedures for adapting materials and teaching techniques to meet the needs of this difficult group. A ‘Rationale’ section with extra insight for the inquiring professional concludes each lesson.

Level One Teacher Flash Cards

These cards are required to complete the learning activities in the Teacher’s Manual. They introduce special clues that make it easy for students to remember basic math facts. Specially designed numerals are used to accommodate students with visual perceptual problems.

Complete Level Two Set

Scope and Sequence

Numeration: Expansion of skills from Level 1. Numbers 1,000-999,999,999 and amounts $1,000-$999,999,999.99, the complements, Base 10 numbers 001-100, and the meaning and function of zero in subtraction.

Operations: Concept of subtraction, subtraction facts to 18, multi-digit subtractions, regrouping in subtraction, and subtraction with zero. Review of Level I addition.

Place Value: Meaning and function of ones, tens, hundreds, one thousand, ten thousands, hundred thousands, one millions, ten millions, and hundred millions. Review of Level I.

Organizational Skills: The setting up of multi-digit subtractions and attacking of word problems involving subtraction. Review and expansion of Level I procedures.

The Checkbook: The use of checks, deposit slips, checkbooks, and the language of banking systems.

Word Problems: Hierarchical introduction of problems involving concrete and abstract language (subtraction). Teaches clues for determining operation (+ and -). Review of Level I.

Money: Reading, writing (to dictation), and making amounts to $999,999,999.99 and making change from $1.00, $10.00, and $100.00. Review of Level I.

Base 10 Structures: Continued development of visual and auditory discrimination of inner and outer structures of Base 10 to the millions. Review of Level I.

Rounding and Estimating: Introduction of concept of rounding, rounding to the nearest ten, hundred, and thousand.

Fractions: Concept of part vs. whole as it applies to money.

Building Self-Esteem: Special sequence and memory clues enable students to succeed. A built-in reward system includes the teaching of money, place value, and the checkbook.

Developing Thinking Skills: Dialogs in each lesson require students to think, compare, and make decisions.

Level Two Workbook A

This book contains activity sheets correlated to lessons 1 through 17 in the corresponding Teacher’s Manual. These sheets provide valuable reinforcement and are essential to the program.

Level Two Workbook B

This book contains activity sheets correlated to lessons 18 through 34 in the corresponding Teacher’s Manual. These sheets provide valuable reinforcement and are essential to the program.

Level Two Workbook C

This book contains activity sheets correlated to lessons 35 through 53 in the corresponding Teacher’s Manual. These sheets provide valuable reinforcement and are essential to the program.

Level Two Teacher’s Manual

This book has the same format as the Level One Teacher’s Manual but focuses on subtraction skills. It also develops place value and word problems further while introducing rounding off, making change and more. The first ten lessons of Level Two review Level One and include special sections for teachers who are new to Semple Math, so any teacher can pick up Level Two and proceed. This manual has 53 lessons and contains 40 appendices which can be used as blackline masters.

Level Two Teacher Flash Cards

These cards are essential teaching tools that contain special clues for subtraction facts.

Complete Level Three Set

Scope and Sequence Numerations: Review and expansion of skills from Levels I and II.

Operations: Concept of multiplication, multiplication facts, long multiplication, regrouping in multiplication, multiplication with zero, and commutative property of multiplication. Review of addition and subtraction.

Place Value: Concepts taught in Levels I and II applied to addition, subtraction, and multiplication.

Organizational Skills: Procedures for setting up long multiplication and attacking word problems involving multiplication. Review of Levels I and II.

Money: Introduction of nickels, half dollars, and five-dollar bills in the change-making process. Interrelation of nickels, half dollars, and five-dollar bills with the Base 10 value structures. Review of Level I and II.

Rounding and Estimating: Review and reinforcement of rounding off skills and concept.

Fractions: Introduction of concept of one-half as it relates to money, shape, and Base 10. Review of Levels I and II.

Building Self-Esteem: Continued employment of success as a motivator with a built-in reward system.

Developing Thinking Skills: Questioning techniques in the form of dialogs require students to think and make decisions.

Level Three Workbook A

This book contains activity sheets correlated to lessons 1 through 20 in the corresponding Teacher’s Manual. These sheets provide valuable reinforcement and are essential to the program.

Level Three Workbook B

This book contains activity sheets correlated to lessons 21 through 40 in the corresponding Teacher’s Manual. These sheets provide valuable reinforcement and are essential to the program.

Level Three Teacher’s Manual

This book is formatted in the same way as the manuals in Levels One and Two with objectives, directives, activities, rationales and special sections on older disabled students given in each lesson. Appendices provide blackline masters. The 40 lessons cover all multiplication facts, long multiplication and multiplication word problems while reviewing and expanding on place value, keeping a check book, rounding off, and making change.

Complete Level Four Set

Scope and Sequence Numeration: Review and expand skills from Levels I, II, and III. Amounts to the billions.

Operations: Review and expand addition, subtraction, and multiplication. Introduce the concept of division, the vocabulary of division, division, long division, remainders, zero in division, and regrouping in division.

Place Value: Review and expand knowledge of place value. Apply previously learned skills to billions; continue associations with people living in houses on Whole Number Street. Use images to help students form an understanding of the concept of place value.

Organizational Skills: Review procedures for setting up and interpreting math problems. Skills presented in a specific sequence induce aptitude for self organization. Scripted dialogs between teacher and student keep student processing at the cognitive level.

The Checkbook: Continued use of the checkbook and the language of the banking system, used in conjunction with a behavior modification program.

Word Problems: Review and expand skills from Levels I, II, and III. Continue building an abstract vocabulary in word problems. Introduce mathematical vocabulary and connect it with Semple Math’s image-making vocabulary.

Money: Continue to review and reinforce both abstract and image-making terms. Emphasize the connection between fractions and coins.

Base 10 Structures: Review and reinforce concept of Base 10. Review mnemonics for helping students to understand place value. Mnemonic images bring structures to life.

Rounding and Estimating: Review rounding from previous Levels. Introduce estimating. Use two rounded numbers to estimate total.

Fractions: Review fractions, decimals, and percents. Introduce LCM and LCD. Add, subtract, multiply, and divide like and unlike fractions. Change fractions to decimals, and decimals to fractions. Change mixed numbers to improper fractions, and improper fractions to mixed numbers.

Building Self-Esteem: Use success as a motivator. Continued use of mnemonics and a special sequence of skills enables all students to succeed.

Develop Thinking Skills: The questioning techniques in the form of scripted dialogs require students to pay attention, think, compare, analyze, and make decisions.

Level Four Workbook A

This book contains activity sheets correlated to lessons 1 through 17 in the corresponding Teacher’s Manual. These sheets provide valuable reinforcement and are essential to the program.

Level Four Workbook B

This book contains activity sheets correlated to lessons 18 through 34 in the corresponding Teacher’s Manual. These sheets provide valuable reinforcement and are essential to the program.

Level Four Workbook C

This book contains activity sheets correlated to lessons 35 through 51 in the corresponding Teacher’s Manual. These sheets provide valuable reinforcement and are essential to the program.

Level Four Teacher’s Manual

This book is formatted in the same way as the manuals in Levels One, Two and Tree with objectives, directives, activities, rationales and special sections. The book contains 51 lessons. The first twelve lessons include review of work from Levels One, Two and Three, but this manual can also be used with students who have not had Semple Math previously as long as they can add, subtract and multiply. You can select specific lessons just to work on division or other lessons just to work on fractions, decimals and percents.

Place Value Kit

“The Place Value Kit is a supplemental material for use with the Semple Math program. It is not a stand alone kit. The PVK is introduced during lesson 29 of Level One. The program continues to make use of the kit throughout all four levels. Each student should have their own Place Value Kit.”

Extra Place Value Chips

Times Tables Musical CD

The Times Tables Music CD contains all the songs used with the Times Tables Teacher’s Manual and Workbook. This CD will provide strong reinforcement while teaching the multiplication facts and is strongly recommended.

Times Tables Workbook

This book contains activity sheets correlated all the lessons in the Times Tables: Teacher’s Manual. These sheets provide valuable reinforcement and are essential to reinforcing the Times Tables.

Times Tables Teacher’s Manual

The Semple Math Times Tables Teacher’s Manual consists of sixteen lessons complete with objectives, directives, activities and rationales. Appendices provide black line masters. This manual includes mastery of the times tables one through twelve as well as understanding the concept of multiplication.

Extra Level One Sheets, Lessons 13 thru 24

These loose work sheets reinforce Level One lessons and can be reproduced. Lessons 13 through 24.

Extra Level One Sheets, Lessons 1 thru 12

These loose work sheets reinforce Level One lessons and can be reproduced. Lessons 1 through 12.

Color Words Packet

Times Tables Kit, 1 thru 12

Jan Semple has taken the same imaginative teaching strategies she used in Level Three of Semple Math and reworked them into a separate pair of books. The Times Tables Teacher’s Manual, Workbook and musical CD can be used to help anyone learn multiplication facts – including students who are not using the full Semple Math program. The Times Tables offers a real and effective alternative to the rote drill commonly used to teach multiplication Facts.

This kit includes the following:

Times Tables Teacher’s Manual: This book contains 16 lessons formatted in the same way as the manuals in the full Semple Math program with objectives, directives, activities and rationales. Appendices provide blackline masters. Instructions cover all facts from X1 to X12 as well as the essential concept of multiplication. (Sold separately for $24.95)

Times Tables Workbook: This book contains essential reinforcement for all the lessons in the Times Tables Teacher’s Manual. (Sold Separately for $11.95)

Times Tables CD: This CD contains all the songs used with Times Tables materials. (Sold Separately for $11.95)

Two free posters to enhance the kit!

Shapes Packet