Exam / Class: ACT Math
Instructional Goals:
- To help student improve their score on the Math section of the ACT
- Develop strategies which provide success on time management of the ACT Math Exam
- Provide students with knowledge of common types of questions on the ACT Math
Content Instruction:
Include concept(s) (listed above), page number and resource
Each Area at a Glance:
1. Introduction to Math
2. Math Techniques
3. Numbers and Quantity
4. Elementary Algebra
5. Intermediate Algebra
6. Coordinate Geometry
7. Plane Geometry
8. Trigonometry
Introduction to Math
Math Techniques General Strategies Common Mistakes Target Numbers Plug In Backsolve Guesstimate Avoid Partial Answers
Elimination Using the Techniques
This curriculum map is the property of Capstone College and Career Advising LLC and may not be reproduced, duplicated or distributed without the express written consent of Capstone College and Career Advising.
Content Instruction: Cont’d
Include concept(s) (listed above), page number and resource
Numbers and Quantity
Number Concepts and Definitions Fractions Ratios Percents Averages Combinatorics
Probability
Elementary Algebra Techniques!
Basic Manipulation Polynomials Inequalities
Intermediate Algebra Functions Exponents
Absolute Value Miscellany
Coordinate Geometry
The Coordinate Plane Lines Circles Parabolas
Plane Geometry Angles Triangles Perimeter, Area and Volume Circles
This curriculum map is the property of Capstone College and Career Advising LLC and may not be reproduced, duplicated or distributed without the express written consent of Capstone College and Career Advising.
Content Instruction: Cont’d
Include concept(s) (listed above), page number and resource
Trigonometry
Trigonometry Functions
Graphing Trigonometry Functions
This curriculum map is the property of Capstone College and Career Advising LLC and may not be reproduced, duplicated or distributed without the express written consent of Capstone College and Career Advising.
Test Strategies:
Introduction to ACT Math
General Format
Question Types
Calculators
General Strategies
Math Triage
Common Mistakes
Fool’s Gold
Target Numbers
Plug In
Backsolve
Guesstimate
Avoid Partial Answers
Process of Elimination
Classroom Examples:
Use the blue print in the textbook as a bank for classroom examples and descriptions of examples. Some examples will specify the printable handouts for students provided through the resource bank.
I. Introduction to Math
II. Math Techniques
a. General Strategies
b. Work Backward
c. Techniques
d. Easy Questions
e. Medium Questions
f. Hard Questions
g. Common Mistakes
h. Fool’s Gold
i. Target Numbers Chart – MATH 1
j. Plug In
i. Explicit Variables
ii. Implicit Variables
iii. Geometry
iv. English to Math Example
This curriculum map is the property of Capstone College and Career Advising LLC and may not be reproduced, duplicated or distributed without the express written consent of Capstone College and Career Advising.
v. Three Steps to Plug In
k. Backsolve
l. Guesstimate
i. FAQs for Guesstimate
ii. Avoid Partial Answers
iii. Process of Elimination
m. Technique Drills
i. Plug In Handout – MATH 2
ii. Backsolve Handout – MATH 3
iii. Guesstimate Handout – MATH 4
III. Numbers and Quantity
a. Number Concepts and Definitions Handout – MATH 5
b. Prime Factor Examples
c. Exercise #1 – MATH 6
d. Fractions
i. Fraction Examples
ii. Exercise #2 – MATH 7
iii. Exercise #3 – MATH 8
iv. Exercise # 4 – MATH 9
v. Operations with Fractions
e. Percents
f. Rules Worth Memorizing – MATH – 11
g. Percentage Shortcuts
h. Examples of Percents – MATH 12
i. Exercise #5 – MATH 13
j. Ratios
k. Exercise #6 – MATH 14
l. Averages
m. Exercise #7 – MATH 15
n. Statistics and Combitronics
o. Exercise #8 – MATH 16
p. Probability
q. Exercise #9 – Math 17
This curriculum map is the property of Capstone College and Career Advising LLC and may not be reproduced, duplicated or distributed without the express written consent of Capstone College and Career Advising.
IV. Elementary Algebra
a. Basic Manipulation
b. Solving an Equation
c. Exercise #11 – MATH 19
d. Exercise #12 – MATH 20
e. Polynomials
f. Exercise #13 – MATH 21
g. Factoring
h. Exercise #14 – MATH 22
i. Exercise #15 – MATH 23
j. Quadratic Equations
k. Exercise #16 – MATH 24
l. Inequalities
V. Intermediate Algebra
a. Functions
b. Exponents - Handout - MATH 26
c. Combining Exponents – Handout – MATH 27
d. Logarithms
e. Absolute Value
f. Miscellany
i. Sequences
ii. Matrices
iii. Imaginary and Complex Numbers
iv. Factorial
VI. Coordinate Geometry
a. The Coordinate Plane
b. Graphing Functions
c. Graphing Functions Table – MATH 30
d. Lines
e. Circles
f. Parabolas
g. Parabola Table – MATH 33
This curriculum map is the property of Capstone College and Career Advising LLC and may not be reproduced, duplicated or distributed without the express written consent of Capstone College and Career Advising.
VII. Plane Geometry
a. Techniques and Strategies for Geometry
b. Polygons
c. Polygon Table – MATH 34
d. Angles
e. Angles Table - MATH 35
f. Tringles
g. Perimeter, Area and Volume
h. More Info on Circles
i. Circle Facts – MATH 36
VIII. Trigonometry
a. Basic Functions
b. Function Facts – MATH 37
c. Graphing Trigonometric Functions
d. Sine and Cosine Waves Example – MATH 38
This curriculum map is the property of Capstone College and Career Advising LLC and may not be reproduced, duplicated or distributed without the express written consent of Capstone College and Career Advising.
Key Resources:
Assessment:
Use links to Guide students to Practice Drills, Practice Tests and Benchmark Tests
- The Ultimate Capstone Guide to the ACT Math – Capstone E-Textbook
- Baseline Test – ACT CPRE
- PLUG IN DRILL
- BACKSOLVE DRILL
- GUESSTIMATE DRILL
- MATH TECHNIQUES DRILL
- MATH 6 – Exercise #1
- PRIME FACTOR DRILL
- MATH 7 – Exercise #2
- MATH 8 – Exercise #3
- MATH 9 – Exercise #4
- FRACTION DRILL
- MATH 13 –Exercise #5
- MATH 14 – Exercise #6
- MATH 15 – Exercise #7
- MATH 16 - Exercise #8
- MATH 17 - Exercise #9
- PRE ALGEBRA DRILL I
- PRE ALGEBRA DRILL II
- PRE ALGEBRA DRILL III
- MATH 18 – Exercise #10
- MATH 19 – Exercise #11
- MATH 20 – Exercise #12
- MATH 21 – Exercise #13
- MATH 22 – Exercise #14
- MATH 23 – Exercise #15
- MATH 24 – Exercise #16
- ELEMENTARY ALGEBRA DRILL I
- ELEMENTARY ALGEBRA DRILL II
- MATH 25 Exercise #17
- FUNCTION DRILL I
This curriculum map is the property of Capstone College and Career Advising LLC and may not be reproduced, duplicated or distributed without the express written consent of Capstone College and Career Advising.
Special Activities, Notes, etc.
- FUNCTION DRILL II
- MATH 28 – Exercise #18
- EXPONENT DRILL
- ABSOLUTE VALUE DRILL
- INTERMEDIATE ALGEBRA DRILL I
- INTERMEDIATE ALGEBRA DRILL II
- MATH 29 Exercise #19
- MATH 31 – Exercise #20
- MATH 32 – Exercise #21
- COORDINATE GEOMETRY DRILL I
- COORDINATE GEOMETRY DRILL II
- PLANE GEOMETRY DRILL
- TRIGONOMETRY DRILL
- TRIGONOMETRY DRILL II
Teacher Notes are scattered through the e-textbook (in blue and marked) and are provided to assist teacher with additional information which may be relevant in helping students understand the concepts more clearly.
This curriculum map is the property of Capstone College and Career Advising LLC and may not be reproduced, duplicated or distributed without the express written consent of Capstone College and Career Advising.