# 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.

# 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 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.

• 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.