Mathematics & Business
In Region 10, we believe that all students are capable and fearless learners of mathematics. We use a growth mindset and productive struggle to help students harness the power of mistakes and gain a deeper understanding of the course content. Our expectations are high, and our lessons are rigorous so that we can prepare all students to think about mathematics in their everyday lives with a robust sense of numeracy. We invite students, every day, to engage in authentic thinking and problem solving so that all students can access relevant and challenging content.
All grade levels K12 use the Common Core State Standards as the basis for the curricula. Below are the math practice standards that remain themes throughout every grade level.
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Subjects by Grade Level
 Elementary School Mathematics
 Middle School Mathematics
 High School Mathematics
 High School Business
Elementary School Mathematics
Region 10 Elementary Schools use a comprehensive K–4 mathematics curriculum that equips teachers to fully implement the Common Core State Standards for Mathematics in a manner that is rigorous, coherent, engaging, and accessible to all learners. The curriculum focuses on developing students’ deep understandings of mathematical concepts, proficiency with key skills, and ability to solve complex and novel problems. We blend direct instruction, structured investigation, and open exploration, and taps into the intelligence strengths of all students by presenting material that is as linguistically, visually, and kinesthetically rich as it is mathematically powerful. We use visual models to make the mathematics accessible to all learners.
Kindergarten
In kindergarten, students focus on whole numbers and shapes.
Throughout the year they:
 Count and compare numbers to 100, with a special focus on numbers to 20
 Think about joining and separating situations as addition and subtraction
 Sort, compare, and draw shapes
 Combine shapes to make other shapes and complete puzzles
Grade 1
In first grade, students focus on addition and subtraction, place value, and shapes.
Throughout the year they:
 Add and subtract with numbers to 20, including with story problems
 Become fluent with addition and subtraction facts to 10
 Count to 120 and learn about place value (ones, tens, hundreds)
 Identify, sort, and draw shapes
 Fit shapes together to make other shapes, solve puzzles, and talk about fractions
Grade 2
In second grade, students focus on addition and subtraction, place value, shapes, and length measurement.
Throughout the year they:
 Become fluent with addition and subtraction facts with numbers to 20
 Add and subtract with numbers up to 1,000
 Measure length and solve problems involving lengths
 Identify, describe, compare, put together, and take apart shapes
Grade 3
In third grade, students focus on multiplication, fractions, and area.
Throughout the year they:
 Multiply numbers from 0 to 10 with fluency
 Multiply with numbers greater than 10
 Add and subtract with numbers to 1,000
 Work with unit fractions (fractions with a 1 in the numerator like 1/3 and 1/6) and add and subtract fractions
 Explore division
Grade 4
In fourth grade, students focus on multiplication and division with multidigit numbers, fractions, and geometry.
Throughout the year they:
 Find factors and multiples of different numbers
 Compare fractions and break fractions into smaller parts
 Compare decimal numbers and find decimal and fraction equivalents
 Develop efficient strategies for multiplying and dividing multidigit numbers
 Calculate area and work with volume
 Measure and draw angles using protractors
Middle School Mathematics
5th Grade 
6th Grade 
7th Grade 
8th Grade 
5th Grade Math 
6th Grade Math 
7th Grade Math 
8th Grade Math 
PreAlgebra 
Algebra 
All students at HarBur take four years of math, but the courses they take may differ. Below are some descriptors for each grade level as well as a chart to show the different paths a student may take.
Grade 5
In fifth grade, students focus on multiplying and dividing whole numbers, fractions and decimals. They also explore more deeply expressions and equations, geometry and place value.
Throughout the year they:

Find common denominators, LCMs, and GCFs to add and subtract fractions

Add and subtract decimals

Use multiplication and division strategies from arrays to standard algorithms

Multiplying and dividing fractions

Using a coordinate grid and calculating volume
Grade 6
In sixth grade, students focus on area and surface area, ratios/unit rates/percentages, dividing fractions/decimals, and deeper exploration into expressions and equations.
Throughout the year they:

Finding surface area using nets

Exploring what rations, unit rates, and percentages are

Using the standard algorithm for division

Multiplying and dividing decimals

Manipulating equations and expressions
Grade 7
In seventh grade, students focus on scale drawings, proportional relationships, properties of circles, operations with rations numbers, representing situations with equations and inequalities.
Throughout the year they:

Find scale factors and draw scale copies

Represent proportional relationships using tables, equations, and graphs

Find the circumference and area of a circle

Calculating percent increases and decreases

Using four operations with rational numbers

Solve equations and inequalities that represent real situations
Grade 7 Prealgebra
In Prealgebra, students focus on variables and expressions, operations with integers and rational numbers, properties of exponents and scientific notation, ratios/proportions and similar figures, percentages and percent change, multistep equations and inequalities, and linear functions.
Throughout the year they:

Use all four operations with integers and rational numbers

Explore exponent rules and scientific notation

Find unit rates, proportions and similar figures

Calculate percent change and compound interest

Manipulate algebraic expressions

Solve multistep equations and inequalities

Represent linear functions and solve systems of equations
Grade 8
In eighth grade, students focus on transformations, dilations/similarity, linear relationships/equations/systems, functions and volume, exponents and scientific notation, associations in data, and Pythagorean theorem.
Throughout the year they:

Explore the properties of rigid transformations and congruence

Define similarity and slope

Represent linear relationships and find slope

Work with linear equations in one variable

Work with linear functions and rates of change

Explore associations in numerical and categorical data

Discover exponent rules and scientific notation

Use the Pythagorean theorem
Grade 8 Algebra
In Algebra, students focus on solving linear equations and functions, forms of linear equations, graphing and writing linear equations and inequalities, solving systems of linear equations and inequalities, exploring exponents and exponential functions, manipulating quadratic expressions and equations, and solving quadratic functions.
Throughout the year they:

Solve linear equations by graphing

Graph and write linear equations in different forms

Solve and graph linear equations and inequalities

Solve and graph systems of linear equations and inequalities

Use exponent rules to explore exponential functions

Add, subtract, and multiply polynomials

Solve Quadratic equations by graphing, completing the square, and using the quadratic formula
For more information on the curriculum taught, please visit our K12 Curriculum page.
High School Mathematics
Lewis Mills High School Mathematics
9th Grade 
10th Grade 
11th Grade 
12th Grade 
Algebra I Level 2 
Geometry & Statistics Level 2 
Algebra II Level 2 
Consumer Level 2 Trigonometry Level 2 (0.5) Statistics Level 2 (0.5) 
Algebra I Level 1 
Geometry & Statistics Level 1 
Algebra II Level 1 
Precalculus Level 1 AP Statistics 
Geometry & Statistics Level 1 
Algebra II Level 1 
Precalculus Level 1 
AP Statistics Calculus Level 1 AP Calculus 
Electives: 
Intro to Computer Science Level 1 (0.5) AP Computer Science Principles 
All students at LSM are required to take three years of mathematics. All mathematics courses use the Common Core Standards as their guide to prepare students to be college and career ready. Although pathways may vary, students will focus on concepts in algebra, geometry, and other higher level mathematical and problemsolving skills. A chart displaying are pathways is below followed by brief descriptions of our core courses.
Algebra I
In Algebra, students focus on solving linear equations and functions, forms of linear equations, graphing and writing linear equations and inequalities, solving systems of linear equations and inequalities, exploring exponents and exponential functions, manipulating quadratic expressions and equations, and solving quadratic functions.
Throughout the year they:

Solve linear equations by graphing

Graph and write linear equations in different forms

Solve and graph linear equations and inequalities

Solve and graph systems of linear equations and inequalities

Use exponent rules to explore exponential functions

Add, subtract, and multiply polynomials

Solve Quadratic equations by graphing, completing the square, and using the quadratic formula
Geometry & Statistics
In Algebra, students focus on lines, angles, polygons and similarity, circles, area and volume, one and two variable statistics, and probability.
Throughout the year they:

Explore the properties of points, lines, planes, distance, and angle relationships

Use the Pythagorean theorem

Prove lines parallel and use these properties with transversals

Work with triangle inequalities, congruence, and write proofs

Use right triangle trigonometry and special right triangles

Finding the equation or a circle and using circles in a coordinate plane

Describing one and two variable statistics for categorical and quantitative data

Calculating probability and using twoway tables

Finding conditional probability and independence
Algebra II
In Algebra, students focus on linear programming, quadratic functions, polynomial functions, inverses and radical functions, exponential and logarithmic functions, rational functions, and trigonometric functions.
Throughout the year they:

Solve system of equations in three variables

Optimize using linear programming

Graph and solve quadratic functions with additional methods

Use all four operations when combining polynomials

Graph and analyze polynomial functions

Compose and find inverse functions

Graph root and radical functions

Graph and solve exponential and logarithmic functions

Use all four operations when combining rational functions

Graph and solve rational functions

Introduce trigonometric functions and ratios in right triangles
For more information on courses offered, please visit the Program of Studies page.
For more information on the curriculum taught, please visit our K12 Curriculum page
High School Business
Lewis Mills High School Business
9th Grade 
10th Grade 
11th Grade 
12th Grade 
Credit Hours 
Microsoft Applications 
0.5 


International Business 
0.5 

Principals of Accounting I 
1 

Principals of Accounting II 
1 


Introduction to Business 
1 

Career Readiness 
0.5 

Graphic Design I 
0.5 

Graphic Design II 
0.5 


Personal Finance 
0.5 

Personal Finance Tunxis CC 
0.5 
For more information on courses offered, please visit the Program of Studies page.
For more information on the curriculum taught, please visit our K12 Curriculum page