# Algebra: Themes, Tools, Concepts

by Anita Wah and Henri Picciotto, © 1994

or individual lessons for your non-commercial use.

The whole book in color. Large files: searchable (43MB) | not searchable (27 MB)

All the files listed below are black-and-white searchable PDFs.

Chapters: 01 | 02 | 03 | 04 | 05 | 06 | 07 | 08 | 09 | 10 | 11 | 12 | 13 | 14

## Chapter 01: Perimeter and Area Patterns

1.00-contents
1.01-polyominoes
1.02-polyomino-perim
1.03-intro-lab-gear
1.04-variables-constants
1.05-dimensions
1.06-coming-to-terms
1.07-perimeter
1.08-window-shopping
1.10-three-dimensions
1.11-word-figures
1.12-geoboard-area
1.A-graphing-rect-areas
1.B-drapes
1.C-more-window-prices
1.essential-ideas

## Chapter 02: Operations and Functions

2.00-contents
2.01-minus-opposites
2.03-multiplying
2.04-distributive-law
2.05-powers
2.06-finding-patterns
2.07-function-diagrams
2.08-time-distance-speed
2.09-operations-func-diag
2.10-perimeter-area
2.11-polyomino-functions
2.12-geoboard-triangles
2.A-operations
2.B-car-trip
2.essential-ideas

## Chapter 03: Working Backwards

3.00-contents
3.01-instant-riches
3.02-two-negatives
3.03-more-on-minus
3.04-algebra-magic
3.05-inequalities-intro
3.06-mult-div
3.07-reciprocals
3.08-hot-day
3.09-cover-up-method
3.10-combining-functions
3.11-another-planet
3.12-similar-figures
3.A-secret-codes
3.B-opposites-reciprocals
3.C-more-banking
3.essential-ideas
3.practice

## Chapter 04: Interpreting Graphs

4.00-contents
4.01-100-mile-trip
4.02-pts-graphs-eqs
4.03-polynomial-functions
4.04-graphs-thru-points
4.05-lines-through-origin
4.06-in-the-lab
4.07-real-numbers-estim
4.08-jarring-disco
4.10-up-in-the-air
4.11-horiz-vertic-lines
4.12-complicated-areas
4.A-bicycle-trip
4.B-direct-variation
4.C-letter-strings
4.essential-ideas
4.practice

## Chapter 05: Sums and Products

5.00-contents
5.01-constant-sums
5.02-constant-products
5.03-distributive-law
5.04-factoring-trinomials
5.05-graphing-parabolas
5.06-factors
5.07-minus-distrib-law
5.08-building-blocks
5.09-staircase-sums
5.10-sequences
5.11-averages-sums
5.12-smooth-moves
5.A-analyzing-graphs
5.B-distributing
5.C-sequences-as-funcs
5.essential-ideas
5.practice

## Chapter 06: Making Comparisons

6.00-contents
6.01-car-rentals
6.02-which-is-greater
6.03-solving-linear-eqs
6.04-equations-identities
6.05-graphical-solutions
6.07-how-much-more
6.08-solving-mult-div
6.09-rational-expressions
6.10-improve-your-average
6.11-stuart-alice
6.12-geoboard-squares
6.A-money-matters
6.B-constant-differences
6.C-group-theory
6.essential-ideas

## Chapter 07: Products and Powers

7.00-contents
7.01-squares-cubes
7.02-square-windows
7.03-squares-of-sums
7.04-diffs-of-squares
7.05-remarkable-ids
7.06-how-many-solutions
7.07-eqs-with-squares
7.08-power-play
7.09-powers-large-numbers
7.10-scientific-notation
7.11-using-large-numbers
7.12-as-the-crow-flies
7.A-cube-problems
7.B-graphing-inequalities
7.C-one-googol-zeroes
7.essential-ideas

## Chapter 08: Growth and Change

8.00-contents
8.01-height-weight
8.02-focus-func-diag
8.03-slope
8.04-linear-functions
8.05-population-growth
8.06-comparing-pops
8.07-percent-increase
8.08-percent-decrease
8.09-equal-powers
8.10-working-w-monomials
8.11-neg-bases-exponents
8.12-small-large-numbers
8.A-slope-intercept
8.B-interest
8.C-laws-of-exponents
8.essential-ideas

## Chapter 09: Measurement and Square Roots

9.00-contents
9.01-distance
9.02-pythagorean-theorem
9.05-square-root-function
9.06-midpoints
9.07-halfway-measures
9.08-exponent-one-half
9.10-blowups
9.11-lets-eat
9.12-similar-figures
9.A-geoboard-distance
9.B-skidding-distance
9.C-supertans-midpoints
9.essential-ideas

## Chapter 10: Satisfying Constraints

10.00-contents
10.01-van-pool
10.02-how-much-of-each
10.03-2variables-2eqs
10.04-solving-systems
10.05-standard-form
10.06-line-intersections
10.07-simultaneous-eqs
10.08-lines-thru-pts
10.A-juice-experiment
10.B-fitting-a-line
10.essential-ideas

## Chapter 11: Interpreting Ratios

11.00-contents
11.01-geom-sequences-sums
11.02-decimals-fractions
11.03-stairs-squares
11.04-irrational-numbers
11.05-dice-games
11.06-what-is-probability
11.07-random-walks
11.08-unit-conversion
11.A-nested-squares
11.B-calibrating-speedom
11.essential-ideas

## Chapter 12: Mathematical Modeling

12.00-contents
12.01-us-population
12.02-median-median-line
12.03-safe-driving
12.04-math-models-science
12.05-modeling-motion
12.06-gearing-up
12.07-iterating-lin-funcs
12.08-representing-funcs
12.A-equations-from-data
12.B-v-shaped-graphs
12.essential-ideas

## Chapter 13: Making Decisions

13.00-contents
13.01-pens-constant-perim
13.03-zero-product-prop
13.04-pens-constant-area
13.05-packing-mailing
13.06-solving-w-squares
13.07-finding-the-vertex
13.B-find-the-dimensions
13.essential-ideas

## Chapter 14: Ratios and Roots

14.00-contents
14.01-rectangle-ratios
14.02-simplify-alg-fracs
14.03-fractions-equations
14.04-finding-the-vertex
14.05-famous-formula
14.06-translations
14.07-equations-numbers
14.08-golden-ratio
14.A-in-the-gutter
14.B-up-downstream
14.essential-ideas

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