Exam / Class: ACT Math
Instructional Goals:
- To help student improve their score on the Math section of the SAT
- Develop strategies which provide success on time management of the SAT Math Exam
- Provide students with knowledge of common types of questions on the SAT Math
Each Area at a Glance:
1. Introduction to Math
2. General Strategies
3. Guesstimate
4. Common Mistakes
5. Target Numbers
6. Plug In
7. Backsolve
8. Using Techniques
9. Math Fundamentals
10. Heart of Algebra
11. Passport to Advanced Math
12. Graphing
13. Problem Solving and Data Analysis
Additional Topics in Mathematics
Content Instruction: Introduction to Math Format
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
Content
Math Fundamentals
Number Concepts and Definitions Fractions
Ratios
Rates and Units
Percents
Exponents
Heart of Algebra
Techniques
Solving an Equation
Writing Equations
Multiple Equations
Inequalities
Passport to Advanced Math
F(x) Notation
Polynomials
Exponential Growth
Graphing
The Coordinate Plane
Lines
Parabolas
Circles
Transformation of Functions
Problem solving and Data Analysis
Proportions
Figures
Statistics
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
Additional Topics in Mathematics
Angles
Perimeter, Area and Volume
Triangles
Trigonometry
Imaginary and Complex Numbers
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 SAT Math
General Strategies
Guesstimate
Common Mistakes
Target Math Techniques
Common Mistakes
Target Numbers
Plug In Backsolve
Using the Techniques
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. Show Your Work
c. Guesstimate
d. Math Techniques
e. Common Mistakes
f. Fool’s Gold
g. Target Numbers
h. Plug In
i. Explicit Variables
ii. Implicit Variables
iii. Geometry
i. Backsolve
j. Using the Techniques
i. Plug In Handout – MATH 1
ii. Backsolve Handout – MATH 2
III. Math Fundamentals
a. Number Concepts and Definitions Handout – MATH 3
b. Prime Factor Examples
c. Exercise #1 – MATH 4
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.
Classroom Examples (cont)
d. Fractions
i. Fraction Examples
ii. Exercise #2 – MATH 5
iii. Exercise #3 – MATH 8
iv. Exercise # 4 – MATH 9
v. Operations with Fractions
e. Rates and Units
f. Exercise #4 – MATH 7
g. Percents
h. Exercise #5 – MATH 8
i. Exponents
j. Exercise #6 – MATH 9
k. Absolute Value
l. Exercise #7 – Math 10
IV. Heart of Algebra
a. Techniques
b. Exercise #8 – Math 11
c. Solving an Equation
d. Exercise #9 – MATH 12
e. Writing Equations
f. Exercise #10 – MATH 13
g. Multiple Equations
h. Exercise #11 – MATH 14
i. Inequalities
j. Exercise #12 – MATH 15
V. Passport to Advanced Math
a. F(x) Notation
b. Exercise #13 - MATH 16
c. Polynomials
d. Exercise #14 - MATH 17
e. FOIL
f. Exercise #15 - MATH 18
g. Factoring
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.
Classroom Examples (cont)
h. Exercise #16 - MATH 19
i. Dividing Polynomials
j. Exercise #17 - MATH 20
k. Quadradic Equations
l. Exercise #18 – MATH 21
m. Exponential Growth
VI. Graphing
a. The Coordinate Plane
b. Graphing Functions
c. Exercise #19 – MATH 22
d. Lines
e. Exercise # 20 – MATH 23
f. Parabolas
g. Exercise #21 – MATH 24
h. Circles
i. Exercise #22 – MATH 25
VII. Problem Solving and Data Analysis
a. Figures
b. Statistics
c. Exercise #23 – MATH 26
d. Probability
e. Exercise #24 - MATH 27
f. Sampling and Projection
VIII. Trigonometry
a. Formulas
b. Angles Examples – MATH 28
c. Perimeter and Volume
d. Circles – Examples – MATH 29
e. Triangles
f. Trigonometry – triangle Examples – MATH 30
g. Exercise #25 – MATH 31
h. Imaginary and Complex Numbers
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.
Classroom Examples (cont)
Key Resources:
Assessment:
Use links to Guide students to Practice Drills, Practice Tests and Benchmark Tests
i. Exercise #26 – MATH 32
- The Ultimate Capstone Guide to the SAT Math – Capstone E-Textbook
- Baseline Test – SAT Test 1
- PLUG IN DRILL
- BACKSOLVE DRILL
- BIG TECHNIQUES DRILL
- MATH FUNDAMENTALS DRILL #4
- ALGEBRA DRILL I
- ALGEBRA DRILL II
- ADVANCED MATH DRILL I
- ADVANCED DRILL II RANDOM DRAW
- PROBLEM SOLVING AND DATA ANALYSIS EXERCISE DRILL I
- PROBLEM SOLVING AND DATA ANALYSIS EXERCISE DRILL II – Random Draw
- GEOMETRY AND TRIGONOMETRY DRILL – Random Draw
- GRAPHING DRILL
- ADDITIONAL TOPICS IN MATH DRILL
Special Activities, Notes, etc.
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.