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 Community Consolidated School District 15
 Mathematics
Bridging the Gap this Summer  Grades 48

We are piloting a program this summer for students currently enrolled in grades 48 during the 20192020 school year. This online math program is being provided to support students in practicing math skills and provide enrichment during the summer months. Participation and using the program is optional.
Please remember that your child’s classroom teacher is not monitoring this program or work over the summer. Please do not contact them if you have questions. We are looking into incorporating this into our curriculum as a potential resource for the 20202021 school year.
Click here for instructions and resources for your child to begin using the program on June 1, 2020. If you have any questions, please use the help form that is linked in the table.
A principios de esta semana, recibió información sobre el programa que estamos probando este verano para los estudiantes actualmente matriculados en los grados 48 durante el año escolar 20192021. Este programa de matemáticas en línea se proporciona para apoyar a los estudiantes en la práctica de las habilidades matemáticas y proporcionar enriquecimiento durante los meses de verano. La participación y el uso del programa es opcional.
A continuación encontrará las instrucciones y los recursos para que su hijo comience a usar el programa el 1 de junio. Si tiene alguna pregunta, utilice el formulario de ayuda que está vinculado en la tabla.
Mathematics

D15 Math Department Vision, Mission & Goals 201920
The Mission of the Math Department includes and supports District 15’s mission to produce worldclass learners by building a connected learning community.
The Vision of the Math Department includes and supports District 15’s vision to prepare students to be critical thinkers, effective communicators, selfreliant and resilient individuals who are equipped for continued success, through a comprehensive instructional plan.
The Goals of the Math Department support the Board of Education goals and emphasize integrating technology across the district, ensuring that District 15 students meet or exceed state and worldclass standards, excelling as an organization and raising the benchmarks, building a connected learning community, and becoming a worldclass educational system.
The Math Department also supports the district's student performance targets:
 At least 90% of all students will meet or exceed grade level proficiency standards in math.
 At least 90% of all students will meet or exceed one year of academic growth each year in math.
 Close the achievement gap between identified subgroups.
District 15 Math Program Curriculum
The Math Program Curriculum 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 www.CoreStandards.org.
The Math Program Instructional Framework is a balanced program that is researchbased and designed to use “highimpact instructional pedagogy” to engage students through interactive and handson experiences during wholegroup, smallgroup, and independent learning opportunities. This framework is applied across all schools and grade levels (K8). Students in kindergarten grades K6 receive 75 minutes of math instruction per day. Students in grades 78 have one 40 minute class period of math instruction per day.
All students will:
 Build computational skills
 Develop mathematical reasoning and problemsolving abilities
 Deepen conceptual understanding, number sense and numeracy
 Demonstrate understanding in a variety of assessment formats
 Learn to work collaboratively
 Engage in conversation and math talks
Standards for Student Mathematical Practice
All K8 students are expected to develop appropriate expertise in the Standards for Student 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 at each grade level.
KINDERGARTEN
 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
FIRST GRADE
 Represent and solve problems involving addition and subtraction
 Understand and apply the 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
SECOND GRADE
 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
THIRD GRADE
 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
FOURTH GRADE
 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
FIFTH GRADE
 Understand the place value system
 Perform operations with multidigit whole numbers and 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
SIXTH GRADE
 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
SEVENTH GRADE
 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
EIGHTH GRADE
 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
 Grades K6 Math Courses Visual  Spring 2018  English / Spanish
 Grades 68 Math Courses Visual  Spring 2018  English / Spanish
What does a comprehensive “balanced” math program look like in the classroom:
 Engage/Hook (610 minutes) 1 bag
 Whole Group MiniLesson (1520 minutes)
 Student work in (2040 minutes)
 Small groups
 Independently
 Teacher conferences
 Wrap up (610 minutes)
Math Courses Descriptions

Grade 7
 7th Grade Math: This course aligns to the 7th Grade Common Core State Standards with a focus on problem solving and application. Integers and rational numbers, proportional relationships and percent problems, equivalent expressions, equations and inequalities, sampling, probability, and basic geometry concepts are covered.
 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 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.
 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 and delves deeper into the material and application process.
 Honors Plane & Solid Geometry: This advanced 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 demonstrate a strong command 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 will prepare students to take Trigonometry/Calculus A. This course requires a graphing calculator.
 7th Grade Math: This course aligns to the 7th Grade Common Core State Standards with a focus on problem solving and application. Integers and rational numbers, proportional relationships and percent problems, equivalent expressions, equations and inequalities, sampling, probability, and basic geometry concepts are covered.