# K-5 Math Curriculum

• Elementary math instruction lays the foundation for college and career readiness. Barrington 220’s mathematics program is aligned to the Illinois Learning Standards Incorporating the Common Core. All elementary students are expected to develop appropriate expertise in the Standards for Mathematical Practice, which are included in the Common Core Standards and are rooted in research on mathematical proficiency. The Standards for Mathematical Practice include:

• Make sense of problems and persevere in solving them.
• Reason abstractly and quantitatively.
• Construct viable arguments and critique the reasoning of others.
• Model with mathematics.
• Use appropriate tools strategically.
• Attend to precision.
• Look for and make use of structure.
• Look for and express regularity in repeated reasoning.

Students use these practice standards in conjunction with the Standards for Mathematical Content, which are designated for each grade level. The elementary mathematics program uses instruction and texts from the Houghton Mifflin Harcourt Math in Focus program. Math in Focus, which follows the Singapore Math syllabus, focuses on problem-solving and deep understanding of concepts. Math in Focus is aligned to the Common Core State Standards, as determined by Achieve, a College and Career Readiness Research Organization.

Students are expected to develop a deep understanding of addition, subtraction, and numerous strategies for addition and subtraction within 20, which also develops numerical understanding of whole number relationships and place value. Students receive many opportunities to begin measuring lengths as linear units. Composing and decomposing geometric shapes while reasoning about attributes are studied.

Students extend their understanding of the base-ten system. They receive numerous opportunities to learn a deep understanding of place value.
Students build on their foundation of number from first grade to develop fluency with addition and subtraction within 100 and solve problems within
1000. They continue to study measurement (time, length, and weight), geometry and problem-solving. Problem-solving strategies, including bar modeling, are studied, and students are introduced to multiplication.

Students develop a deep understanding of multiplication and division, including strategies and models for multiplication and division within 100. Students begin work with fractions. Two-dimensional shapes are described and analyzed, as well as area of shapes. Application of problem-solving strategies continues.

Students continue toward achieving mastery of mathematical computations of all whole numbers, and addition and subtraction of decimals and fractions.
More advanced word problems and problem-solving strategies are studied. The study of measurement includes conversion of units and representing and interpreting data. Geometry in fourth grade includes a study of the concepts of lines and angles.

The study of fractions and decimals is expanded to include multiplication and division. Students further their understanding of measurement with
conversion of units and volume. Concepts of three-dimensional shapes are also studies, as is graphing on coordinate planes. Hands-on experiences provide a foundation for later algebraic studies. Students focus on advanced application of problem-solving throughout the year.

# Related Documents

• # CCSS MIF Content Alignment

• # CCSS MIF Math Content Practice Alignment

• # Math In Focus Brochure

• # Research and Efficacy

• # Research Base

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