Mathematics & Business

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 multi-digit 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 multi-digit numbers  
• Calculate area and work with volume  
• Measure and draw angles using protractors 

5th Grade	6th Grade	7th Grade	8th Grade
5th Grade Math	6th Grade Math	7th Grade Math	8th Grade Math
		Pre-Algebra	Algebra

All students at Har-Bur 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, multi-step 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 multi-step 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 K-12 Curriculum page.

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 problem-solving 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 two-way 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 K-12 Curriculum page

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 K-12 Curriculum page