Mathematics

  • The vision of mathematics education in District 15 is to prepare students to be critical thinkers, effective communicators, self-reliant, and resilient individuals who are equipped for continued success through a rich learning experience. 

District 15 Math Curriculum

  • In 2022, District 15 fully adopted Illustrative Mathematics as our district curricular resources. Illustrative Math is a problem-based core curriculum designed to address content and practice standards to foster learning for all. Students learn by doing math, solving problems in mathematical and real-world contexts, and constructing arguments using precise language. Teachers can shift their instruction and facilitate student learning with high-leverage routines to guide learners to understand and make connections between concepts and procedures.

    All students will:

    • Develop mathematical reasoning and problem-solving abilities

    • Deepen conceptual understanding, number sense and numeracy

    • Learn to work collaboratively

    • Engage in conversation and math talks

    You can find a letter for each grade-level and unit to help support you in understanding the progression of learning your child will be engaging in along with questions and support at home.

Illustrative Mathematics

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 CCSD 15 prioritized content standards for K-8 content topics covered at each grade level. These are the standards that are on the report card. 

    KINDERGARTEN

    • K.CC.A Know number names and the count sequence.

    • K.CC.B Count to tell the number of objects.

    • K.CC.C Compare numbers.

    • K.G.A Identify and describe shapes.

    • K.MD.A Describe and compare measurable attributes.

    • K.NBT.A Work with numbers 11-19 to gain foundations for place value.

    • K.OA.A Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

    FIRST GRADE

    • 1.MD.A Measure lengths indirectly and by iterating length units.

    • 1.MD.C Represent and interpret data.

    • 1.NBT.A Extend the counting sequence.

    • 1.NBT.B Understand place value.

    • 1.NBT.C Use place value understanding and properties of operations to add and subtract.

    • 1.OA.A Represent and solve problems involving addition and subtraction.

    • 1.OA.B Understand and apply properties of operations and the relationship between addition and subtraction.

    • 1.OA.C Add and subtract within 20.

    • 1.OA.D Work with addition and subtraction equations.

    SECOND GRADE

    • 2.MD.A Measure and estimate lengths in standard units.

    • 2.MD.B Relate addition and subtraction to length.

    • 2.MD.D Represent and interpret data.

    • 2.NBT.A Understand place value.

    • 2.NBT.B Use place value understanding and properties of operations to add and subtract.

    • 2.OA.A Represent and solve problems involving addition and subtraction.

    • 2.OA.B Add and subtract within 20.

    THIRD GRADE

    • 3.MD.A Solve problems involving measurement and estimation.

    • 3.MD.B Represent and interpret data.

    • 3.MD.C Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

    • 3.NBT.A Use place value understanding and properties of operations to perform multi-digit arithmetic.¹

    • 3.NF.A Develop understanding of fractions as numbers.

    • 3.OA.A Represent and solve problems involving multiplication and division.

    • 3.OA.B Understand properties of multiplication and the relationship between multiplication and division.

    • 3.OA.C Multiply and divide within 100.

    FOURTH GRADE

    • 4.MD.A Solve problems involving measurement and conversion of measurements.

    • 4.MD.C Geometric measurement: understand concepts of angle and measure angles.

    • 4.NBT.A Generalize place value understanding for multi-digit whole numbers.

    • 4.NBT.B Use place value understanding and properties of operations to perform multi-digit arithmetic.

    • 4.NF.A Extend understanding of fraction equivalence and ordering.

    • 4.NF.B Build fractions from unit fractions.

    • 4.NF.C Understand decimal notation for fractions, and compare decimal fractions.

    • 4.OA.A Use the four operations with whole numbers to solve problems.

    • 4.OA.B Gain familiarity with factors and multiples.

    FIFTH GRADE

    • 5.MD.A Convert like measurement units within a given measurement system.

    • 5.MD.B Represent and interpret data.

    • 5.MD.C Geometric measurement: understand concepts of volume.

    • 5.NBT.A Understand the place value system.

    • 5.NBT.B Perform operations with multi-digit whole numbers and with decimals to hundredths.

    • 5.NF.A Use equivalent fractions as a strategy to add and subtract fractions.

    • 5.NF.B Apply and extend previous understandings of multiplication and division.

    • 5.OA.A Write and interpret numerical expressions.

    SIXTH GRADE

    • 6.EE.A Apply and extend previous understandings of arithmetic to algebraic expressions.

    • 6.EE.B Reason about and solve one-variable equations and inequalities.

    • 6.EE.C Represent and analyze quantitative relationships between dependent and independent variables.

    • 6.G.A Solve real-world and mathematical problems involving area, surface area, and volume.

    • 6.NS.A Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

    • 6.NS.B Compute fluently with multi-digit numbers and find common factors and multiples.

    • 6.NS.C Apply and extend previous understandings of numbers to the system of rational numbers

    • 6.RP.A Understand ratio concepts and use ratio reasoning to solve problems.

    SEVENTH GRADE PRE-ALGEBRA (see junior high course offerings for more information)

    • 7.EE.A Use properties of operations to generate equivalent expressions.

    • 7.EE.B Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

    • 7.NS.A Apply and extend previous understandings of operations with fractions.

    • 7.RP.A Analyze proportional relationships and use them to solve real-world and mathematical problems.

    • 8.EE.A Work with radicals and integer exponents.

    • 8.EE.B Understand the connections between proportional relationships, lines, and linear equations.

    • 8.EE.C Analyze and solve linear equations and pairs of simultaneous linear equations.

    • 8.NS.A Know that there are numbers that are not rational, and approximate them by rational numbers.

    EIGHTH GRADE MATH (see junior high course offerings for more information)

    • 8.EE.A Work with radicals and integer exponents.

    • 8.EE.B Understand the connections between proportional relationships, lines, and linear equations.

    • 8.EE.C Analyze and solve linear equations and pairs of simultaneous linear equations.

    • 8.NS.A Know that there are numbers that are not rational, and approximate them by rational numbers.