VERTICAL ALIGNMENT- MATHEMATICS

Grade

Skill(s) needed at each grade level and/or course for students to become proficient on what is taught from the North Carolina Standard Course of Study and to increase opportunities for acceleration at all grade levels

Grade(s) where the skills should be introduced and become integrated from that grade level forward I=Introduced R=Reinforced/expanded M=Maintain skills

Reference to the North Carolina Standard Course of Study by Grade(s)/Goal/Obj

K

1

2

3

4

5

6

7

8

9

10

11

12

Goal 1

Goal 2

Goal 3

Goal 4

1

Concepts of Addition/Subtraction

I

R

X

1

More/Less

I

R

X

1

Basic Patterns

I

M

X

1

Recognize numbers to 10

I

M

X

1

Count numbers to 30

I

M

X

1

1 to 1 correspondence to 10

I

M

X

1

Sorting/Classifying

I

R

X

1

Correct information of numbers

I

M

X

1

Sequencing number to 10

I

M

X

1

Calendar concepts

I

M

X

2

Knowledge of Add/Sub facts to 10

I

M

2

Solve simple word problems

I

R

2

Read Graphs

I

R

R

2

Knowledge of place value (one/tens)

I

M

2

Tell time to the hour

I

M

2

Rote count to 100 (by 1’s, 5’s, 10’s)

I

M

2

Divide sets into 2’s, 3’s, and 4’s

I

M

2

Count by 2’s to 20

I

M

K

1

2

3

4

5

6

7

8

9

10

11

12

Goal 1

Goal 2

Goal 3

Goal 4

3

Knowledge of addition/subtraction facts

I

R

M

X

3

Place value to 100

I

R

M

X

3

Knowing when to add/subtract

I

R

M

X

3

Money-adding using coins

I

M

X

3

Identify money

I

M

X

3

Time to the hour

I

R

M

X

3

Time to the half hour

I

M

X

3

Measure to inch

I

M

X

4

Multiplication tables

I

R

M

X

4

Elapsed time

I

R

M

X

4

Estimation

I

R

R

R

M

X

4

Time to the minute

I

R

X

4

Multi-step problems

I

R

X

X

X

X

4

Fact families add/subtract

I

R

R

M

X

4

Fact Families multiplication/division

I

M

X

X

5

Math terms/Vocabulary

I

R

R

R

R

X

X

X

X

5

Multiplication/Division

I

R

R

M

X

5

Long Division

I

R

X

5

Place value to millions

I

M

X

5

Rounding

I

R

R

M

X

K

1

2

3

4

5

6

7

8

9

10

11

12

Goal 1

Goal 2

Goal 3

Goal 4

5

Multi-step problems

I

R

R

X

X

X

X

5

Measurement conversions

I

R

R

X

6

Long division

I

X

6

Multiplication

I

R

R

M

X

6

Place value in whole numbers and decimals

I

R

R

R

M

X

6

Fractions

I

R

R

R

R

X

6

Order of operations

I

R

R

X

6

Measuring

I

R

R

R

R

X

6

Metric/standard conversions

I

R

R

M

X

6

Decimals

I

R

R

X

7

Multiplication and division facts

I

R

R

R

M

X

7

Fractions and decimals

I

R

R

M

X

7

Addition and subtraction

I

R

R

R

R

M

X

7

Creating and evaluating graphs

I

R

R

X

7

Measuring

I

R

R

R

R

M

X

7

Identifying geometric properties

I

R

R

R

R

R

R

X

8	Multiplication and division facts	I	R	R	R	R	M	X
8	Solve problems involving percents				I	R	R	X
8	Solve problems using formulas			I	R	R	R		X

K

1

2

3

4

5

6

7

8

9

10

11

12

Goal 1

Goal 2

Goal 3

Goal 4

Algebra IA

Multiplication Tables

I

R

M

M

M

M

M

M

X

Arithmetic operations with integers

I

R

M

X

Multiply and divide fractions

I

I

R

M

M

X

Writing ratios(fractions) as percents and percents as ratios (fractions)

I

R

M

M

X

Translating word phrases and sentences into math statements/equations (using grade appropriate operations)

I

R

R

R

R

R

R

R

R

X

Spatial measurements: length, area, volume as related to units (i.e. measurements in one, two and three dimensions)

X

Algebra Ib & Algebra I

Solving simple linear equations

I

R

R

M

X

Graphing linear equations

I

R

X

Geometry

Graphing/solving linear equations and linear systems of equations

I

M

X

Solving/graphing simple quadratics

I

M

X

Simple operations with radicals

I

M

X

Operations with fractions/real numbers

I

R

R

R

R

M

X

Algebra II

Factoring quadratics/factoring polynomials

Introduce: multiply

Reinforce Prime factors

R M

X

Graphing/writing linear equations

I

M

X

Operations w/rational numbers (fractions)

I

R

R

M

M

M

X

Operation with polynomials

I

R

X

Proficiency with graphics calculator as related to graphing basic

I

X

K

1

2

3

4

5

6

7

8

9

10

11

12

Goal 1

Goal 2

Goal 3

Goal 4

Tech Math I

Rules of exponents

I

R

M

X

Solve linear equations using more than one step and with variable on both sides of equations

Introduce

Reinforce and develop

M

X

Simplifying expressions using distributive property

I

R

R

R

M

M

X

Tech Math II

Solve Multi-step problems

Graphing Linear Equations using slope and y-intercept

Translating verbal phrases and sentences into math expressions and equations

Plotting points in the coordinate plane

Pre Cal

Factoring

multiply

Prime factors

R

Factoring polynom.

X

Graphing; solving equations and systems of equations/various methods

Locating points on plane

Graphing using rules and equations

R

M

x

Operations with fractions and polynomial, exponential, & logarithmic functions

Numerical fractions

Alg fractions (ratios/Prop)

Fractions with complex functions

X

Radicals

I

R

R

Conics

I

M

M

X

Trig

Factoring

Multiply

Prime factors

R

Factoring Polynom.

X

Solve Equations

I

I

R

R

R

R

M

M

X

Right triangle ratios

I

R

M

X

Graphing Functions

Locating points on plane

Graphing using rules and equations

R

M

K

1

2

3

4

5

6

7

8

9

10

11

12

Goal 1

Goal 2

Goal 3

Goal 4

Alg III/Trig

Factoring

multiply

Prime factors

Factoring polynomials

X

Write equations of lines

I

R

M

X

Special right triangles

I

R

R

R

R

M

M

X

Manipulating equations

I

R

R

R

R

M

M

X

X

Operations with Radicals

I

R

R

M

X

Pre Cal Alg And Pre Cal Trig

Factoring Polynomials

multiply

Prime factors

Factoring polynomials

X

Solving Quadratic equations by all four methods

I

M

M

X

Simplifying radicals

I

R

M

X

Using negative exponents

I

M

M

X

Understanding/finding inverse functions

I

M

M

X

Calculus

Factoring

multiply

Prime factors

Factoring polynomials

X

Interpreting graphs

Locating points on plane

Graphing using rules and equations

R

M

M

X

Expansion/Simplification of algebraic expressions

I

R

R

M

X

Retention of trigonometric values and identities

I

R

M

X

Using persistence and appropriate equations to solve problems

I

R

R

R

R

R

R

R

R

M

X

X

Discrete Math

Matrix operations

I

R

X

Basic Probability

Introduced

R

R

R

R

R

R

M

X

Logical reasoning

Introduced

R

R

R

R

R

R

R

M

X

X

X

X

Factoring

multiply

Prime factors

Factoring polynomials

X