Eureka Math Algebra I Study Guide

8 | eureka Math alGeBra I Study GuIde

exponential functions, model projectiles and riverbeds using polynomial functions, model
pistons using sinusoidal functions, and calculate the length of an on-off sequence used by
computers to encode 256 characters using logarithmic functions.

Few U.S. textbooks paint mathematics as a dynamic, unfolding tale. They instead
prioritize teaching procedures and employ a spiraling approach, in which topics are partially
taught and then returned to—sometimes years later—with the unrealistic expectation that
students will somehow connect the dots. But teaching procedures as skills without a rich
context is ineffective. Students can too easily forget procedures and will fail if they do not
have deeper, more concrete knowledge from which they can draw.

A Story of Functions weaves the mathematical concepts, applications, and fluency of the
high school story together by relating everything students do back to the theme of studying
functions. Algebra II students see how their current work with sinusoidal functions relates
back to the work they did with polynomial functions; the processes used to study the two
types of functions are the same even though the types of functions are different. This work, in
turn, helps them focus on the differences between the properties of sinusoidal functions and
the properties of polynomial functions.

Figure 2.2 Grades 6–8 Year-Long Curriculum Map: A Story of Ratios

Grade 6 Grade 7 Grade 8

M1:

Ratios and Unit Rates

(35 days)

M1:

Ratios and Proportional

Relationships

(30 days)

M1: Integer Exponents and

Scientific Notation

(20 days)

M2:

The Concept of Congruence

(25 days)

M3:

Expressions and Equations

(35 days)

M3:

Similarity

(25 days)

M4:

Percent and Proportional

Relationships

(25 days)

M4:

Linear Equations

(40 days)

M4:

Expressions and Equations

(45 days)

M5:

Statistics and Probability

(25 days)

M5: Examples of Functions from

Geometry (15 days)

M5:

Area, Surface Area, and

Volume Problems

(25 days)

M6:

Geometry

(35 days)

M6:

Linear Functions

(20 days)

M6:

Statistics

(25 days)

M7:

Introduction to Irrational Numbers

Using Geometry

(35 days)

Key: Number Geometry ProportionsRatios and Expressions andEquations Statistics andProbability Functions

1st TRIMESTER

2nd TRIMESTER

3rd TRIMESTER

M2:

Arithmetic Operations Including

Division of Fractions

(25 days)

M2:

Rational Numbers

(30 days)

M3

Rational Numbers

(25 days)

1st QUARTER

2nd QUARTER

3rd QUARTER

4th QUARTER

*The columns indicating trimesters and quarters are provided to give you a rough guideline. Please use your own pacing considerations
based on the specific dates of your academic calender.