Mathematics

  • D15 Math Department Vision, Mission & Goals 2019-20

    The Mission of the Math Department includes and supports District 15’s mission to produce world-class 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, self-reliant 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 world-class standards, excelling as an organization and raising the benchmarks, building a connected learning community, and becoming a world-class educational system.

    The Math Department also supports the district's student performance targets:

    1. At least 90% of all students will meet or exceed grade level proficiency standards in math.
    2. At least 90% of all students will meet or exceed one year of academic growth each year in math.
    3. 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 research-based and designed to use “high-impact instructional pedagogy” to engage students through interactive and hands-on experiences during whole-group, small-group, and independent learning opportunities. This framework is applied across all schools and grade levels (K-8). Students in kindergarten grades K-6 receive 75 minutes of math instruction per day.  Students in grades 7-8 have one 40 minute class period of math instruction per day.  

    All students will:

    • Build computational skills
    • Develop mathematical reasoning and problem-solving 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 K-8 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 Student Mathematical Practice

    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 K-8 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 11-19 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 multi-digit whole numbers
    • Use place value understanding and properties of operations to perform multi-digit 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 multi-digit 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 one-variable equations and inequalities
    • Represent and analyze quantitative relationships between dependent and independent variables

    SEVENTH GRADE

    • Analyze proportional relationships and use them to solve real-world 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 real-life 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

    K-8 Math Courses

    What does a comprehensive “balanced” math program look like in the classroom:

    1. Engage/Hook (6-10 minutes) 1 bag
    2. Whole Group Mini-Lesson (15-20 minutes)
    3. Student work in (20-40 minutes)
      1. Small groups
      2. Independently
      3. Teacher conferences
    4. Wrap up (6-10 minutes)