# Algebraic Connections Pacing Guide

```Algebraic Connections Pacing Guide
Suggested Book List
All Sorts of Numbers – counting
* Henry the Fourth – ordinal numbers
* 3 Little Firefighters – sorting
* Bug Dance
* The Best Vacation Ever – data collecting,
problem solving skills
* Count on Clifford
Amanda Bean’s Amazing Dream –
multiplication
* Clocks and More Clocks - time
* Much Bigger than Martin – size
“Slowly, Slowly, Slowly” said the Sloth
* Lemonade for Sale - money
* 100 Days of School – counting to 100
* Biggest Bed in the World – size
* Give Me Half – halves
rd
Sir Cumference and the Dragon Pi
* Grandfather’s Tang Story - changing
shape
* Chicken Soup with Rice – months
* Counting on Frank – size comparison,
math facts, counting
* Hershey’s Milk Chocolate Bar Fraction
* How Much is a Million
Mummy Math: An Adventure in Geometry
* Millions of Cats
* Three Days on a River in a Red Canoe
Carry On, Mr. Bowditch
Sir Cumference and the Great Knight of
Angle Land – acute, obtuse, straight
angles
Sir Cumference and the Sword in the Cone –
cubes, pyramids, prisms
Sir Cumference and the First Round Table –
measurement
* A Million Fish…More or Less
Dear Mr. Henshaw
A Higher Geometry
* The Village of Round and Square Houses
- shape
* How the Second Grade Got \$8205.50 to
Visit the Statue of Liberty – money
Hannah, Divided
The Secret Life of Amanda K. Woods –
probability
Tuck Everlasting – calculate population
Gulliver’s Travel – geometry
Jayden’s Rescue – problem solving
The Curious Incident of the Dog in the
Night – time, probability
The Heroic of Hercules Amsterdam –
counting
The Da Vinci Code – Fibonacci Sequence
The Twenty-one Balloons – mathematical
reasoning
Journey to Topaz – measurement
The Sand-Reckoner – problem solving
The Pearl – currency calculation
Middle – High School
Imaginary Numbers
Mathematics in the Time of Pharaohs
Medieval Chinese Innovations
Math Talk: Mathematical Ideas in Poems
for Two Voices
High School
Against the Odds – number theory
Five Equations that Changed the World
The Man Who Loved Only Numbers
Math Equals: Biographies of Women
Mathematical Scandels
Archimede’s Revenge – application of math
Calculus and Pizza
* denotes AR books
Page 1 of 8
Algebraic Connections Pacing Guide
1st Nine Weeks
Textbook
Correlation
Pacing Guide
AMSTI
6.4
1 &frac12; weeks
7.4
1 &frac12; weeks
7.7
1 &frac12; weeks
Big Ideas /
Essential
Question
Essential
Vocabulary
AHSGE Corrlelations
Proportion,
capturerecapture
method, inverse
variation
Exponential
functions,
natural base
VII-7
Throughout Year:
7. Make predictions based upon tables or
graphs from societal contexts.
population change or
employment rate
AHSGE Review
2. Solve problems using direct, inverse, and
joint variation.
3. Use formulas or equations of functions to
calculate outcomes of exponential growth or
decay.
Example: problems involving compound
interest, bacterial growth,
carbon-14 dating,
depreciation, cooling point
in chemistry
6. Use the extreme value of a given quadratic
function to solve applied problems.
Example: determining the cost needed to
maximize profit
4. Determine maximum and minimum values of
a function using linear programming procedures.
Example: Given the boundaries x ≥ 0,
y ≥ 0, 2x – 3y + 15 ≥ 0, and x ≤ 9, find the
maximum and minimum
values of f(x, y) = 3x + 5y.
Linear
programming,
objective
function,
constraints,
vertex
Page 2 of 8
Algebraic Connections Pacing Guide
1st Nine Weeks
Textbook
Correlation
Pacing Guide
10. Use arc length and sector area to solve
applied problems.
Supplement
1 week
11. Critique the appropriateness of
measurements in terms of precision, accuracy,
and approximate error.
Example: determining whether one
candidate has a significant
when given their current
standings in a poll and the
margin of error.
Enrichment Project
Supplement
1 &frac12; weeks
AMSTI
Big Ideas /
Essential
Question
Essential
Vocabulary
Arc, arc length,
sector, sector
area
2 weeks
Exams
Page 3 of 8
AHSGE Corrlelations
Algebraic Connections Pacing Guide
2ND Nine Weeks
Textbook
Correlation
1. Use algebraic and geometric techniques to
make financial and economic decisions,
including those involving banking and
investments, insurance, personal budgets, credit
purchases, recreation, and deceptive and
Example: banking – determining the best
choice of certificates of
deposit, savings accounts,
checking accounts, or loans;
credit purchases –
comparing the costs of
fixed- or variable-rate
mortgage loans, comparing
the costs associated with
various credit cards;
personal budgets –
determining the best price
for long distance phone
service.
 Generating, manually or with technology
tools, graphs and tables related to
personal finance and economics.
Example: using computer software to
create an amortization table
for a mortgage loan or a
circle graph for a personal
budget
Enrichment Project
Supplement:
Pacing
Guide
Checking and
Savings
Accounts
2 weeks
Credit Cards
1 &frac12; weeks
Insurance
1 &frac12; weeks
Budgets
2 &frac12; weeks
AMSTI
Big Ideas /
Essential
Question
Essential
Vocabulary
AHSGE Correlation
Writing checks:
http://www.mvsc.k12.in.us/mhs/ro
w/Law%20ppts/Chapter%2024.1.pp
t
1 &frac12; weeks
Exams
Page 4 of 8
Algebraic Connections Pacing Guide
3rd Nine Weeks
Textbook
Correlation
Pacing
Guide
1. Use algebraic and geometric techniques to
make financial and economic decisions,
including those involving banking and
investments, insurance, personal budgets, credit
purchases, recreation, and deceptive and
Example: banking – determining the best
choice of certificates of
deposit, savings accounts,
checking accounts, or loans;
credit purchases –
comparing the costs of
fixed- or variable-rate
mortgage loans, comparing
the costs associated with
various credit cards;
personal budgets –
determining the best price
for long distance phone
service.
 Generating, manually or with technology
tools, graphs and tables related to
personal finance and economics.
Example: using computer software to create an
amortization table for a mortgage loan or a circle
graph for a personal budget
8.2 – 8.5
5 &frac12; weeks
Interest, principal,
rate, simple
interest, future
value, present value,
Banker’s Rule,
discounted loan,
discount, compound
interest,
compounding period,
compounded –
annually,
semiannually,
quarterly, effective
annual yield,
effective rate,
nominal rate, annual
percentage rate,
down payment, fixed
installment loan,
unearned interest,
actuarial method,
Rule of 78, payoff
amount, unpaid
balance method,
revolving credit,
itemized billing,
mortgage, mortgage
brokers, points,
escrow account,
amortized
9. Analyze the aesthetics of real-life situations
using line symmetry, rotational symmetry, or the
golden ratio.
13.2 –
1 &frac12; weeks
Symmetry,
rotational
symmetry
Enrichment Project
AMSTI
Big Ideas /
Essential
Question
symmetry
only
1 week
Page 5 of 8
Essential
Vocabulary
AHSGE Correlation
Algebraic Connections Pacing Guide
4 Nine Weeks
Textbook
Correlation
Pacing
Guide
5. Approximate rates of change of nonlinear
relationships from graphical and numerical data.
 Graphing information from tables,
equations, or classroom-generated data to
model consumer costs and to predict future
outcomes.
12.1
1 &frac12; weeks
13. Model a set of data by estimating the
equation of a curve of best fit from tables of
values or scatterplots.
 Predicting or analyzing election results,
population change, inflation
12.5
1 &frac12; weeks
8. Determine missing information in an
application-based situation by using the
properties of right triangles, including
trigonometric ratios.
Example: application – construction or
landscaping problem
10.6
1 &frac12; weeks
th
AMSTI
Big Ideas /
Essential
Question
14. Estimate probabilities given a frequency
distribution.
 Making decisions on the basis of
probabilities.
Page 6 of 8
Essential
Vocabulary
AHSGE Correlation
Statistics, data,
population,
sample,
frequency
distribution,
frequency,
histogram, lower
and upper class
limit, class
width, stemand-leaf plot,
stem, leaf
Scatter plot,
correlation,
regression line,
positive and
negative
correlation
Trigonometry,
opposite,
hypotenuse,
sine, cosine,
tangent
VII-6
Algebraic Connections Pacing Guide
4th Nine Weeks
Textbook
Correlation
Pacing
Guide
12. Use ratios of perimeters, areas,
and volumes of similar figures to
solve applied problems.
Example: using a blueprint or
scale drawing of
a house to
determine the
amount of carpet
to be purchased
10.2
(scale
drawings)
1&frac12;
weeks
Enrichment Project
1 week
Juniors – Algebra I Review in
preparation of Algebra II
2 weeks
AMSTI
Big Ideas /
Essential
Question
Essential
Vocabulary
AHSGE Corrlelations
Scale
drawings,
similar
figures,
correspondin
g angles and
sides,
triangles –
acute,
obtuse,
right,
isosceles,
equilateral,
scalene,
legs,
hypotenuse,
Pythagorean
theorem
IV-1, VII-3, VII7
Seniors – Exam Review for early
release
Page 7 of 8