Introduction to Ch:
IntroductiontoCh.doc,
add.ch,
product.ch,
tall.ch,
average.ch,
points.ch,
guess.ch,
guess2.ch,
guess3.ch,
count.ch,
earnins.ch,
earnins2.ch,
game.ch,
game2.ch,

All grades

Get
started with some handson experience using Ch as both a
powerful calculator and a programming language. After completing
this lesson, educators and students should be familiar with the
programming concepts introduced and used in the subsequent
computational thinking lessons, examples, and programs.

multiply fractions

Elementary Prealgebra

Students
learn to visualize the multiplication of fractions and identify
patterns between the multiplicands and their product

Calculate the class mean. It contains classmean.ch and
StudentData.txt

Middle Prealgebra

Students
learn how to calculate the average of a set of data using both
Ch with an emphasis on the algorithm used to perform
the calculation.

Ratios and Proportions. RP_cars1.ch,
RP_cars2.ch,
RP_lengthandwidth.ch,
RP_miles1.ch,
RP_miles2.ch.

Middle Prealgebra

Use
a computational thinking approach to develop an algorithm for answering questions
involving ratios and proportions. Students will develop algorithms
based on the patterns they identify after decomposing questions

Percent change

Middle Prealgebra

Use
a computational thinking approach to teach students to calculate percent change
between any two numbers. Students will identify patterns in
percent change and decompose an algorithm to help strengthen their
understanding.

Long Multiplication on TwoDigit Numbers

Elementary Prealgebra

Use
this program to apply students’ knowledge of how to perform
long multiplication on twodigit numbers, for example, 23 x 46.
Have students analyze, fill in parts of, or use the program to
check results to exercises they are already working on.

Fractions and Proportions

Middle Prealgebra

Use
this program to help students check whether two fractions are
proportional. Have students analyze, fill in parts of, or use the
program to check results to exercises they are already working on.

Midpoint Between Two Points

Middle  High Prealgebra

Use
this program to apply students’ knowledge of the midpoint
formula and automatically calculate the midpoint between two
points (x1, y1) and (x2, y2). Have students analyze or fill in
parts of the program to help reinforce their understanding.

Complementary and Supplementary Angles

Middle Prealgebra

Use
this program to apply students’ knowledge of complements and
supplements and automatically compute the complement and
supplement of a given angle. Have students analyze or fill in
parts of the program to reinforce their understanding.

Birth/death rate populations Problem

Middle  High Prealgebra

Use
this program to help students determine how long it will take to
reach a certain target population, given a starting population,
birthrate, and death rate. Have students analyze, fill in parts
of, or use the program to check results to exercises they are
already working on.

work rate ( 2 workers) problem

Middle  High Prealgebra

Use
this program to help students conceptualize work problems by
solving word problems with two people working together at
different rates. Have students analyze, fill in parts of, or
enhance the program to solve more sophisticated work problems.

work rate ( 3 workers) problem

Middle  High Prealgebra

Use
this program to help students conceptualize work problems by
solving word problems with three people working together at
different rates. Have students analyze, fill in parts of, or
enhance the program to solve more sophisticated work problems.

Similarity cliff

Middle Prealgebra

Use
this program to help student conceptualize word problems,
specifically: A rock climber wants to know the height of a cliff.
The climber measures the shadow of her friend, who is 5 feet tall
and standing beside the cliff, and measures the shadow of the
cliff. If the friends shadow is 4 feet long and the cliffs shadow
is 60 feet long, how tall is the cliff?

Similarity basketball

Middle Prealgebra

Use
this program to help students conceptualize word problems,
specifically: A basketball rim 10 ft high casts a shadow 15 ft
long. At the same time, a nearby building casts a shadow that is
54 ft long. How tall is the building?

Wordproblem lemonade

Middle Prealgebra

Use
this program to help students conceptualize word problems,
specifically: Sam has a jar with 5 cups of fresh lemonade. Jack
has some glasses which hold 1.5 cups each of liquid. How many
glasses of lemonade can Jack serve of Sam’s lemonade?

Interest simple

Middle Algebra

Use
this program to help students understand how to calculate interest
based on the savings amount, interest rate, and number of years of
investing. Have students analyze, fill in parts of, or use the
program to check results to exercises they are already working on

Wordproblem cereal

Middle Algebra

Use
this program to help students conceptualize word problems,
specifically: Charisse is buying two different types of cereals
from the bulk bins at the store. Granola costs $2.29 per pound,
and muesli costs $3.75 per pound. She has $7.00. Use x as the
amount of granola and y as the amount of muesli. How many pounds
of granola can she buy if she buys 1.5 pounds of muesli?

Wordproblem dvd

Middle Algebra

Use
this program to help students conceptualize word problems,
specifically: Shanti has just joined a DVD rental club. She pays a
monthly membership fee of $4.95, and each DVD rental is $1.95. If
Shanti’s budget for DVD rentals in a month is $42, how many
DVDs can Shanti rent in her first month if she doesn’t want
to go over her budget?

Wordproblem line

Middle Algebra

Use
this program to help students conceptualize word problems,
specifically: There are 90 people in line at a theme park ride.
Every 5 minutes, 40 people get on the ride and 63 join the line.
Estimate how long it would take for 600 people to be in line.

T Table

Middle Algebra

Use
this program to help students compute the T table for a given
function. Have students analyze, fill in parts of, or use the
program to check solutions to exercises they are already working
on.

Ratios

Middle Algebra

Use
this program to help students understand ratios by solving for x
in the equation a/b = c/d, where x can be in any location in the
two fractions. Have students analyze, fill in parts of, or use the
program to check solutions to exercises they are already working
on.

Quadratic formula

Middle Algebra

Use
this program to apply students’ knowledge of the quadratic
formula and automatically compute the quadratic formula given the
values of a, b and c. Have students analyze, fill parts of, or use
the program to check results to exercises they are already working
o

Foil

Middle Algebra

Use
this program to apply students’ knowledge of FOIL on
zerovariable or onevariable expressions and automatically solve
various expressions. Have students analyze, fill in parts of, or
use the program to check results to problems they are already
working on.

Square factoring

Middle Algebra

Use
this program to help students factor binomial expressions into the
form (x+c)^2 if the expression fits the pattern. Have students
analyze, fill in parts of, or use the program to check results to
exercises they are already working on.

Distance, rate and time

Middle Algebra

Use
this program to help students automatically compute distance,
rate, or time, given two of the three variables. Have students
analyze, fill in parts of, or use the program to check results to
exercises they are already working on.

Binomial product

Middle Algebra

This program calculates the binomial product
of an equation of the form:
(ax + b)(cx + d) = acx^2 + adx + bcx + bd

functions

Middle Algebra

Use
this program to help students see the connection between a
mathematical function and a programmatic function by defining a
function in Ch and seeing what it means to pass a value to
that function.

vertex form

Middle Algebra

Use
this program to apply students’ knowledge of quadratic
equations to automatically complete the square of a quadratic
equation and find the location of the vertex. Have students
analyze or fill in parts of the program to reinforce their
understanding

Geometry: Area Of A Circle.
GeometryAreaofaCircle.doc,
CA_Program1.ch,
CA_Program2.ch,
CA_Program3.ch,
CA_Program4.ch

MiddleHigh Geometry

Use
a computational thinking approach to teach students one derivation of the formula A =
pi*r^2. In this lesson, students will complete Ch programs
that calculate the area of a circle as well as individual sectors.

obtuse acute

Middle Geometry

Use
this program to help students precisely define the relationships
between the angles for the different types of triangles (acute,
obtuse, or right). Have students analyze, fill in parts of, or use
the program to check results to exercises they are already working
on.

Surface area

Middle Geometry

Use
this program to apply students’ knowledge of surface area
formulas to automatically calculate the surface areas of several
geometric objects: cube, rectangular prism, cylinder, sphere. Have
students analyze, fill in parts of, or use the program to check
results to exercises they are already working on.

Pythagorean Theorem  triangle

MiddleHigh Geometry

Use
this program to apply students’ knowledge of the Pythagorean
Theorem to calculate a third side of a right triangle given the
other two sides. Have students analyze, fill in parts of, or use
the program to check results to exercises they are already working
on

Angle measure for Polygons

MiddleHigh Geometry

Use
this program to apply students’ knowledge of the formulas
related to polygons by displaying several results based on the
number of sides of a polygon to show the differences in polygons.
Have students analyze, fill in parts of, or use the program to
check results to exercises they are already working on.

Pythagorean Theorem  distance

Middle Geometry

Use
this program to apply students’ knowledge of the distance
formula and automatically calculate the distance between two
points (x1, y1) and (x2, y2). Have students analyze or fill in
parts of the program to reinforce their understanding.

Area

Middle Geometry

Use
this program to apply students’ knowledge of area formulas
and automatically compute the area of various geometric objects.
Have students analyze, fill in parts of, or use the program to
check results to exercises they are already working on.

License Plates: exponents and total_cars

High Statistics

Use
a computational thinking approach to teach students how to compute the number of
possible arrangements of a given number of digits in a given
number of spaces. In this lesson students will identify patterns
in relatively easy cases that lead them to an algorithm which
applies to all cases.

Fractional exponents

High Algebra

Use
this program to help students understand fractional exponents by
automatically computing one based on a given base and fractional
exponent. Have students analyze or fill in parts of the program to
reinforce their knowledge.

Geometric Series:
AlgebraIIGeometricSeries.doc,
GS_Program1.ch,
GS_Program2.ch

High Algebra

Use
a computational thinking approach to teach students the derivation of the formula for
the sum of any geometric series. In this lesson, students will
write algorithms that can be translated into Ch code so that
they can easily calculate the sum of several finite geometric
series.

Substitution

MiddleHigh Algebra

Use
this program to apply students’ knowledge of how to
substitute and solve for variables using two equations. The first
equation can be any equation; the second must be of the form
variable = ... where variable appears in the first equation. Have
students analyze the program or predict the substitution given the
two equations.

Quadratics

High Algebra

Use
this program to apply students’ knowledge of how to
calculate the vertex for any given quadratic and automatically
calculate the vertex (h, k) for a given quadratic in the form of y
= ax^2 + bx + c. Have students analyze or fill in parts of the
program to reinforce their understanding.

Roots

High Algebra

Use
the program to help students solve for the roots of an equation.
Have students analyze or fill in parts of the program to reinforce
their knowledge.

Conic sections

High Algebra

Use
this program to illustrate how the coefficients of functions
representing conic sections can be used to determine the type of
conic section (circle, ellipse, hyperbola), and then display
results based on that conic section. Have students analyze, fill
in parts of, or use the program to check results to exercises they
are already working on.

Combinations: n choose k

High Algebra

Use
this program to have students check solutions to exercises they
are already working on related to combinations (n choose k).
Students may also analyze or fill parts of the program to
reinforce their understanding.

Logarithm Notation

High Algebra

Use
this program to help students understand logarithm notation by
automatically computing the result of a given base and exponent
and displaying it in log notation. Have students analyze or fill
in parts of the program to reinforce their knowledge.

Determinant of a 3x3 Matrix

High Algebra

Use
this program to help students find the determinant of a 3x3
matrix. Have students analyze or fill in parts of the program to
reinforce their knowledge.

Determinant of a 2x2 Matrix

High Algebra

Use
this program to help students find the determinant of a 2x2
matrix. Have students analyze or fill in parts of the program to
reinforce their knowledge.

Sorting

High Data Analysis

Use
this program to help students learn how to process data sets using
a simple sorting algorithm. This program can also be used to
illustrate how sorting might be done automatically by an
application such as Ch.
