Home  Pike County Board of Education  Pike County High School
Teaching Units  Competencies and Objectives 
Number Sense  Competency: Perform basic operations with fractions, decimals and integers. 
6 days 
Review operations on integers

Competency: Communicate using the language of algebra  
1 day 
Evaluate algebraic expressions

2 days 
Simplify algebraic expressions using the distributive property

1 day  Simplify radical expressions 
2 days 
Apply the Pythagorean Theorem

Competency: Analyze data and apply concepts of probability  
4 days 
Probability
Statistics

2 days 18 days total 
Review and Test 
Linear equations and inequalities  Competency: Solve equations and inequalities in one variable 
2 days 
Develop and use elementary transformations to solve onestep equations and inequalities:

2 days 
Solve twostep equations and inequalities in the form ax + b = c

2 days 
Solve multistep equations and inequalities with variables on both sides of the equal sign

3 days 
Solve multistep equations and inequalities involving the distributive property and combining like terms

Competency: Apply algebraic methods to problem solving  
3 days 
Solve equations resulting from applications involving:

3 days 
Solve problems dealing with similar polygons

1 day 
Translate word phrases into algebraic expressions Translate sentences into algebraic equations and inequalities 
4 days 
Solve word problems including the following types:

2 days 22 days total 
Review and Test 
Polynomials  Competency: Examine and apply the characteristics of operations on polynomials 
4 days 
Classify polynomials as monomial, binomial, trinomial, or polynomial
Add and subtract polynomials (review of combining like terms) 
3 days 
Multiply polynomials

2 days  Apply polynomial operations to problems involving perimeter and area 
8 days 
Factor polynomials using algebraic methods:

2 days 
Solve quadratic equations using the Zero Product Property

2 days 21 days total 
Review and Test 
Relations, functions and their graphs  Competency: Discriminate between relations and functions. 
1 day  Plot points on the Cartesian plane 
1 day 
Determine if a relation is a function from:

1 day 
Find the range of a function from its:

Competency: Investigate graphing techniques for linear equations and inequalities in two variables  
1 day  Graph linear equations by making a table of values and plotting points 
2 days 
Find the slope of a line using:

4 days 
Graph linear equations using the slope and yintercept (Slopeintercept
form)
Graph linear equations given certain conditions:

1 day  Find the midpoint and the length of a segment 
3 days 
Write the equation of a line given:

1 day  Write an equation for the line of best fit from scatterplots. (Use scatterplots from unit 1.) 
1 day 
Identify the graphs of common relations:

1 day  Graph linear inequalities 
2 days 
Solve systems of linear equations by:

2 days 21 total days 
Review and test 
2 days  Review and final exam 
Home  Pike County Board of Education  Pike County High School