ACT Math Curriculum Map

Capstone College and Career Advising Math Curriculum p. 1

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

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

Content Instruction:

Introduction to Math

Include concept(s) (listed above), page number and resource

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.

Capstone College and Career Advising Math Curriculum p. 2

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.

Capstone College and Career Advising Math Curriculum p. 3

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.

Capstone College and Career Advising Math Curriculum p. 4

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:

I. II.

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.

Introduction to Math 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.

Capstone College and Career Advising Math Curriculum p. 5

III.

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 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.

Capstone College and Career Advising Math Curriculum p. 6

IV.

V.

VI.

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 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 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.

Capstone College and Career Advising Math Curriculum p. 7

VII.

VIII.

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 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.

Capstone College and Career Advising Math Curriculum p. 8

Key Resources:

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The Ultimate Capstone Guide to the ACT Math – Capstone E-Textbook

Assessment:

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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

Use links to Guide students to Practice Drills, Practice Tests and Benchmark Tests

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.

Capstone College and Career Advising Math Curriculum p. 9

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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.