A Secondary Mathematics Progression

Expressions, Equations and Functions

Outcomes

• An understanding of the mathematical progressions.

• An example of a mathematical progression for expressions, equations and functions in secondary mathematics.

CCSS Domain ProgressionK 1 2 3 4 5 6 7 8 HS

Counting & Cardinality

Number and Operations in Base TenRatios and Proportional

Relationships Number & QuantityNumber and Operations –

FractionsThe Number System

Operations and Algebraic Thinking

Expressions and Equations Algebra

Functions Functions

Geometry Geometry

Measurement and Data Statistics and ProbabilityStatistics & Probability

DomainsConceptualCategories

NC EOG/EOC Assessment Specifications

6th Grade 7th Grade 8th Grade HS Math 1

The Number System27-32%

The Number System30

The Number System6

Number & Quantity6.1

Expressions & Equations27-32%

Expressions & Equations

30

Expressions & Equations

32

Algebra30.6

Ratios & Proportional Relationships

12-17%

Ratios & Proportional Relationships

14

Functions24

Functions37.7

Geometry12-17%

Geometry16

Geometry22

Geometry10.2

Statistics & Probability7-12%

Statistics & Probability10

Statistics & Probability16

Statistics & Probability15.3

Major Work

Major Work

Major Work

Section 1 - Expressions• Numeric expressions in upper elementary

and lower middle school mathematics

• Numeric and algebraic expressions in middle school

• Complex algebraic expressions in high school and beyond

Numeric to Algebraic Expressions

K-8th GradesK-3rd

NumericExpressions

3-6th Grade Patterns and Sequences

5-7th GradeExpressions

8th GradeExpression

s w/ exponents

HS Math

High SchoolComplex Algebraic

Expressions

Section 2 – Equations• Equations in K-12 mathematics

– Linear

– Quadratic

– Exponential

– Trigonometric

– Radical

– Rational

• Simultaneous equations in 8-12 mathematics

Equivalent Expressions to Equations

6th-8th Grades6th

One-step equations

7th GradeRatios and Proportions

8th Grade – HS Mathematics

Systems of Equations

7th- HS MathematicsMulti-stepequations

Math I-III

Math II and IIISimple trig, absolute value

and simple rational equations

Math IIIAdvanced

Trigonometric and

Logarithmic equations

Section 3 – Functions• From patterns and relations to functions

• Defining a relationship between two quantities as a function

• Modeling functions

• Interpreting functions

• Comparing functions

Equations to Functions

8th Grade – Math III8th Grade

Functions & Linear

Functions

Math ILinear, Quadratic and Exponential

Functions

Math IIMore complex Quadratic and

Simple Rational functions

Math IIIRational,

Radical & Trig Functions

Questions?

Assessment Samples

Assessment Samples - Expressions

Math I Released Example

Assessment Sample - Equations

Math I Released Assessment Item

Assessment Samples - Functions6th Grade Released Example

8th Grade Released Assessment Item

Math I Released Assessment Item