LEARNING ABOUT NUMBERS               (36 total pages)                        E200                            $3.60
Sample Pages Grades 2-8

This series considers the symbols we use and how those symbols are used to make larger numbers. In addition to considering the basic operations with those numbers, it examines some special classes of numbers and how some numbers might be considered special.  A historical perspective is added as is some geometry.
Space is provided for responses. “Your Turn” sections provide a time to demonstrate the degree of understanding acquired with practice problems. While students may work on the series independently, some assistance may be required with more difficult words and simply to stop and ask the reader “What that meant?”   Resist the urge to just tell the answer, productive struggle can be rewarding.
Includes parts 1-3

Learning About Numbers, Part 1                   (pages 1-10)
Sections: counting numbers, integers, decimals
Important topics:  place value, expanded form, exponents, carrying and borrowing, number line, operations with negative numbers, commutative property of multiplication, decimal values, terminating decimals, repeating decimals, non-repeating and non –terminating decimals

Learning About Numbers, Part 2                   (pages 11-28)
Sections: zero, one, even numbers, odd numbers, perfect squares, prime numbers, composite numbers, squares, nines, perfect numbers, Fibonacci numbers, phi, Pascal’s triangle,
Important topics:  additive identity, number symbols, place value, divisor, dividend, factors, sieve of Eratosthenes, golden ratio, graphs
Historical References: Egyptian Hieratic Numerals, Mesopotamia, Hindu-Arabic symbols, Eratosthenes, Alexander the Great, Aristotle, Plato, Fibonacci, Pascal 

Learning About Numbers, Part 3                   (pages 29-36)
Sections: probability, pi, Pythagorean triples
Important topics:  event, outcome, Pascal’s triangle, exponent, area of a square, area of a circle, method of exhaustion, right triangles, right angle, hypotenuse, Pythagorean Theorem
Historical References: Archimedes

CHANGE WILL DO YOU GOOD              (48 total pages)                         #210                            $4.80
Sample Pages Grades 2-8

This series examines money and how place value is used in the numbers we use to write amounts of money. Students learn to count with the bills and coins we use; to determine the value of either the same denomination or a mix of bills and coins. In the context of money the series considers many other important concepts that naturally arise.
Space is provided for responses. “Your Turn” sections provide a time to demonstrate the degree of understanding acquired with practice problems. While students may work on the series independently, some assistance may be required with more difficult words and simply to stop and ask the reader “What that meant?”   Resist the urge to just tell the answer, productive struggle can be rewarding.
Includes parts 1-7

Change Will Do You Good, Part 1                   (pages 1-9)                               
Sections:  our currency, decimal point, the people on money, number line
Important topics:  place value, number line, tenths, hundredths, expanded form
Historical References:  historical figures on our currency

Change Will Do You Good, Part 2                 (pages 10-16)                             
Sections: fractions of a dollar, value of coins, value of bills, adding money, subtracting money
Important topics:  value of coins to dollar, decimal value of coin, adding decimals, hundredth, tenths, finding the value of a collection of coins, translating from a value stated in words to a numerical amount, borrowing when subtracting monetary amounts,

Change Will Do You Good, Part 3                 (pages 17-22)
Sections: quarters, fractions, decimal representation of simple fractions, equivalent fractions, adding fractions
Important topics:  one-fourth, meaning of a fraction, denominator, numerator, decimal value of fraction, one-tenth, unit fractions, one twentieth, one hundredth, adding fractions with like denominators
Historical References:  Washington, value of silver,

Change Will Do You Good, Part 4                 (pages 23-28)
Sections: the dime, the decimal, counting dimes, gram, per cent
Important topics:  tenths, precision, metric measures, per cent
Historical References: Latin origin for words, Roman Empire, history of the dime, mints, Roosevelt, March of Dimes

Change Will Do You Good, Part 5                 (pages 29-34)
Sections: metals, nickels, challenge questions

Important topics:  precious metal, units, per, dollars per ounce, line graph, horizontal and vertical axis, change
Historical References: Solomon, great recession of 2008, use of nickels, Jefferson

Change Will Do You Good, Part 6                 (pages 35-41)
Sections: penny, Fugio cent, the modern penny, rounding, chance

Important topics:  decimal system, place value, percent, experiment, trial, outcome, probability, deviation
Historical References: Lincoln, railroad system, Franklin cent, US Mint

Change Will Do You Good, Part 7                 (pages 42-48)
Sections:  counting money, making change

Important topics:  carrying, borrowing

COOKING WITH AMELIA                        (22 total pages)                         #220                            $2.20
Sample Pages Grades 2-8

This series is about algorithms (rules or recipes) and proportion.  Examples of recipes lead to discussions about both concepts.  In addition, there are tangents that lead to  an in-context discussion of formulas in geometry and a discussion of time and temperature and finally an introduction to graphs.
Space is provided for responses. “Your Turn” sections provide a time to demonstrate the degree of understanding acquired with practice problems. While students may work on the series independently, some assistance may be required with more difficult words and simply to stop and ask the reader “What that meant?”   Resist the urge to just tell the answer, persistent struggle can be rewarding.

Includes parts 1-6

Cooking with Amelia, Part 1                             (pages 1-7)
Sections:  tripling a recipe, pancakes, circles, recipes, area, perimeter, quadrupling a recipe
Important topics:  rules, proportion, consistency, diameter, radius, circumference, pi, area of a circle, area of a square, square units
Historical References:  history of pancakes, Lent

Cooking with Amelia, Part 2                            (pages 8-11)

Sections:  corn muffins, macaroni and cheese, fractions of length and time
Important topics:  fraction, 1/3, tripling a recipe, doubling the recipe, clock face

Cooking with Amelia, Part 3                           (pages 12-15)                             
Sections:  halves and thirds, meatloaf – more halves and thirds
Important topics:  one-half, one-third, 1½, tripling

Cooking with Amelia, Part 4                              (page 16)                                 
Sections:  questions
Important topics:  assess, productive struggle

Cooking with Amelia, Part 5                           (pages 17-19)                             
Sections:  time 
Important topics:  clock face, fractions of 60, time after and before, counting time by fives, drawing a clock for a particular time, digital clocks

Cooking with Amelia, Part 6                           (pages 20-22)                             
Sections:  temperature, graphs
Important topics:  scale, Fahrenheit, Celsius, proportion, mathematical rule, algorithm, formula, concentration, increasing or decreasing,
Historical References:  Fahrenheit, Celsius

BETWEEN                                                             E310                                                                     $1.70

Sample Pages                                                                            Pre-K, K, 1                                                    (17 total pages)

Part 1   E311                                                        (pages 1-10)                                                                           
This activity engages students as they use a number line to learn the concepts of order, larger, smaller and between.  Students count forward and backward on a number line and use ovals and rectangles to identify numbers on a number line.  Segments of a number line are shown for larger numbers.

Part 2 E312                                                        (pages 11-17)                                                                          
This activity introduces fractions as between two counting numbers on a number line. Students approximate portions of a whole and identify where on the number line that fraction would appear. Activities include using minutes as a fraction of an hour, weighing things on a scale with fractions of a pound, and using inches as a fraction of a foot.

THE KIND OLD MAN                                     E320                                                                         $2.20 

Sample Pages                                                      Pre-K, K, 1                                                    (22 total pages)

A man gathers chicks and gives them away to children as they pass buy his house.

This story introduces the student to several mathematical concepts in the context of fiction. Students see examples of counting by tens, halving, skip counting, and counting by twos and by fours.

THE DOUBLING DEAL                                      E330                                                                         $1.10

Sample Pages K, 1, 2, 3                                                      (11 total pages)

A boy hatches a plan to earn enough money by doing chores and reading to his sister so he can buy what he wants.

This story introduces the student to several mathematical concepts in the context of fiction. Students see examples of doubling, monetary notation, adding money, days in a week, weeks in a month, hours and minutes, creating a chart to summarize quantities, counting by 5, 10, 15, 20, 25, 30, 35, 40 and 45.

THE DICE GAME                                                E340                                                                         $0.50

        Sample Page                                                                     3, 4, 5, 6, 7                                                      (4 total pages)

This is a discover lesson about probability.  Students learn to use a tally sheet to keep track of the number of particular outcomes using one die and using two dice. The students construct a bar graph using their tally sheets and compare and contrast the results of the two experiments.