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 Community Consolidated School District 15
 Curriculum & Instruction
Mathematics

The Mathematics Curriculum in District 15 is aligned to the Illinois Learning Standards, incorporating the Common Core. Based on this adoption of the Common Core, there are three major instructional shifts in mathematics from the previous 1997 Illinois Learning Standards. The shifts include greater focus, coherence and rigor. To read about these key math standard shifts, go to CoreStandards.org.
Click here for the enVisionmath 2.0 Parent Guide K6.
Standards for Mathematical Practices
All K8 students are expected to develop appropriate expertise in the Standards for Mathematical Practice. These practices are longstanding important processes and proficiencies in mathematics education.
Standards for Mathematical Content
Students use the Standards for Mathematical Content, which are designated by grade level, in conjunction with the Standards for Mathematical Practices.
Below are the major K8 content topics covered per grade level.

Know number names and the count sequences

Count to tell the number of objects

Compare numbers

Understand addition as putting together and adding to, and subtraction as taking apart and taking from

Work with numbers 1119 to gain foundations for place value

Represent and solve problems involving addition and subtraction

Understand and apply properties of operations and the relationship between addition and subtraction

Add and subtract within 20

Work with addition and subtraction equations

Extend the counting sequence

Understand place value

Use place value understanding and properties to add and subtract

Measure lengths indirectly and by iterating length units

Represent and solve problems involving addition and subtraction

Add and subtract within 20

Understand place value

Use place value understanding and properties of operations to add and subtract

Measure and estimate lengths in standard units

Relate addition and subtraction to length
 Represent and solve problems involving multiplication and division

Understand properties of multiplication and the relationship between multiplication and division

Multiply and divide within 100

Solve problems involving the four operations, and identify and explain patterns arithmetically

Develop understanding of fractions as numbers

Solve problems involving measurement and estimation of intervals of time, liquid volumes and masses of objects

Understand concepts of area and relate area to multiplication and addition
 Use the four operations with whole numbers to solve problems

Generalize place value understanding for multidigit whole numbers

Use place value understanding and properties of operations to perform multidigit arithmetic

Extend understanding of fraction equivalence and ordering

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers

Understand decimal notation for fractions and compare decimal fractions

Understand the place value system

Perform operations with multidigit whole numbers and with decimals to hundredths

Use equivalent fractions as a strategy to add and subtract fractions

Apply and extend previous understandings of multiplication and division to multiply and divide fractions

Understand concepts of volume and relate volume to multiplication and addition

Understand ratio concepts and use ratio reasoning to solve problems

Apply and extend previous understandings of multiplication and division to divide fractions by fractions

Apply and extend previous understandings of numbers to the system of rational numbers

Apply and extend previous understandings of arithmetic to algebraic expressions

Reason about and solve onevariable equations and inequalities

Represent and analyze quantitative relationships between dependent and independent variables
 Analyze proportional relationships and use them to solve realworld and mathematical problems

Apply and extend previous understandings of operations with fractions to add, subtract, multiply and divide rational numbers

Use properties of operations to generate equivalent expressions

Solve reallife and mathematical problems using numerical and algebraic expressions and equations

Work with radicals and integer exponents

Understand the connections between proportional relationships, lines, and linear equations

Analyze and solve linear equations and pairs of simultaneous linear equations

Define, evaluate, and compare functions

Use functions to model relationships between quantities

Understand congruence and similarity using physical models or geometry software

Understand and apply the Pythagorean Theorem

K8 Math Courses

Junior High Course Offerings
Grade 7
 7th Grade Math—This course aligns to the 7thgrade Common Core State Standards with a focus on problem solving and application. The course topics include integers and rational numbers, proportional relationships and percent problems, equivalent expressions, equations and inequalities, sampling, probability, and basic geometry.
 7th Grade Accelerated Math—This course is a compacted curriculum of both 7th and 8th Grade Common Core State Standards which includes: number systems, rational number operations, ratios, proportionality, percentages, expressions, solving linear equations, inequalities, exponents and scientific notation, graphing proportional and nonproportional relationships, angles and angle relationships, circumference and area of circles, volume of cylinders, spheres, and cones, and the Pythagorean Theorem.
 7th Grade Algebra 1—This advanced 7th Grade algebra course introduces the fundamental principles of algebra. Course topics include linear equations, graphs and inequalities, systems of equations, exponents and scientific notation, simplifying and factoring polynomials, quadratic equations and functions, rational expressions, and introductory radical operations.
For seventhgrade students who took Algebra 1 in sixth grade, these courses are also available:
 Advanced Topics of Algebra 1 (see course description below)
 Honors Plane & Solid Geometry (see course description below)
Grade 8
 8th Grade Math—This course aligns to the 8th Grade Common Core State Standards with a focus on problem solving and application. Topics include the real number system, linear equations, modeling relationships using functions, bivariate data, identifying and solving systems of linear equations, transformations, solving problems including congruence, similarity, the Pythagorean Theorem, surface area, and volume.
 8th Grade Algebra 1—This advanced course introduces students to the fundamental principles of algebra. Algebraic symbolism, simplifying expressions, solutions to equations, the graphic representations associated with variables, and statistical variability are among the course topics. Additional points of emphasis include graphical representations, connection to related functions, and algebraic processes applied to word problems. Common Core State Standards provide the foundation for the course.
 8th Grade Advanced Topics of Algebra 1—This advanced course is designed to focus on problem solving, word problems and higherorder thinking. It incorporates previously learned concepts from 7th Grade Algebra 1 and delves deeper into the material and application process.
 Honors Plane & Solid Geometry—This advanced 8th grade course is a comprehensive study of plane and solid geometry including constructions, formulas for measurement and formal proofs. It is based on the theorems and axioms that relate points, lines, planes, and solids. Topics are covered in great depth, especially area and volume of solids. Additional emphasis is placed on the integration of algebraic techniques in solving geometric problems.
 Accelerated Algebra 2—This highly accelerated high school course is designed for students who have an excellent knowledge of algebra and geometry. M328 Accelerated Algebra 2 is provided at a high school location. The course briefly reviews concepts presented in earlier course work and then rigorously expands and applies them to other areas of mathematics. In addition, selected topics from precalculus are studied. Ideas presented in this course involve advanced techniques of graphing and solving equations and inequalities and prepares students to take Trigonometry/Calculus A. This course requires a graphing calculator.
Contacts:
Risa Cohen
Curriculum Coordinator
Phone: 8479633113
Email: cohenr@ccsd15.net  7th Grade Math—This course aligns to the 7thgrade Common Core State Standards with a focus on problem solving and application. The course topics include integers and rational numbers, proportional relationships and percent problems, equivalent expressions, equations and inequalities, sampling, probability, and basic geometry.