• Grade 5 Math Course Description: In grade 5, instructional time will focus on three critical areas (1) developing fluency with addition and subtraction of fractions, and developing understanding of the multiplication of fractions and of division of fractions in limited cases (unit fractions divided by whole numbers and whole numbers divided by unit fractions); (2) extending division to two-digit divisors, integrating decimal fractions into the place value system and developing understanding of operations with decimals to hundredths, and developing fluency with whole number and decimal operations; and (3) developing understanding of volume. (PDE, Standards Aligned System) Our core math resource in grades K-5 is Bridges in Mathematics, which was adopted by our Board of School Directors in the winter of 2018 for implementation in the 2018-19 school year.  "Bridges in Mathematics is a comprehensive PK–5 curriculum that equips teachers to fully implement the Common Core State Standards for Mathematics in a manner that is rigorous, coherent, engaging, and accessible to all learners. The curriculum focuses on developing students’ deep understandings of mathematical concepts, proficiency with key skills, and ability to solve complex and novel problems. Bridges blends direct instruction, structured investigation, and open exploration. It taps into the intelligence and strengths of all students by presenting material that is as linguistically, visually, and kinesthetically rich as it is mathematically powerful." For more information about Bridges in Mathematics visit the and for additional information for families, visit the Bridges Family Support page. Family Letter Welcome Standards for Mathematical Practice (Included in all units) Make sense of problems and persevere in solving them. Attend to precision. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Look for and make use of structure. Look for and express regularity in repeated reasoning. Unit 1 Expressions, Equations, and Volume    CC.2.1.5.B.2 Extend an understanding of operations with whole numbers to perform operations including decimals. CC.2.2.5.A.1 Interpret and evaluate numerical expressions using order of operations. CC.2.4.5.A.6  Apply concepts of volume to solve problems and relate volume to multiplication and to addition. Unit 1 Family Letter Unit 2 Adding and Subtracting Fractions CC.2.1.5.C.1 Use the understanding of equivalency to add and subtract fractions. CC.2.1.5.C.2 Apply and extend previous understandings of multiplication and division to multiply and divide fractions. Unit 2 Family Letter Unit 3 Place Value and Decimals CC.2.1.5.B.1 Apply place value concepts to show an understanding of operations and rounding as they pertain to whole numbers and decimals.   CC.2.1.5.B.2 Extend an understanding of operations with whole numbers to perform operations including decimals. CC.2.4.5.A.1 Solve problems using conversions within a given measurement system Unit 3 Family Letter Unit 4 Multiplying and Dividing Whole Numbers and Decimals CC.2.1.5.B.2 Extend an understanding of operations with whole numbers to perform operations including decimals. CC.2.2.5.A.1 Interpret and evaluate numerical expressions using order of operations. CC.2.1.5.C.2 Apply and extend previous understandings of multiplication and division to multiply and divide fractions. Unit 4 Family Letter Unit 5 Multiplying and Dividing Fractions CC.2.1.5.C.2 Apply and extend previous understandings of multiplication and division to multiply and divide fractions.  Unt 5 Family Letter Unit 6 Graphing, Geometry and Volume CC.2.1.5.C.2 Apply and extend previous understandings of multiplication and division to multiply and divide fractions. CC.2.2.5.A.4 Analyze patterns and relationships using two rules. CC.2.3.5.A.1 Graph points in the first quadrant on the coordinate plane and interpret these points when solving real world mathematical problems. CC.2.3.5.A.2 Classify two-dimensional figures into categories based on an understanding of their properties. CC.2.4.5.A.2 Represent and interpret data using appropriate scale. CC.2.4.5.A.5 Apply concepts of volume to solve problems and relate volume to multiplication and to addition. Unit 6 Family Letter Unit 7 Division and Decimals CC.2.1.5.B.1 Apply place value concepts to show an understanding of operations and rounding as they pertain to whole numbers and decimals.   CC.2.1.5.B.2 Extend an understanding of operations with whole numbers to perform operations including decimals. CC.2.1.5.C.2 Apply and extend previous understandings of multiplication and division to multiply and divide fractions. Unit 7 Family Letter Unit 8 Solar Design CC.2.1.5.B.2 Extend an understanding of operations with whole numbers to perform operations including decimals. CC.2.1.5.C.2 Apply and extend previous understandings of multiplication and division to multiply and divide fractions. CC.2.3.5.A.1 Graph points in the first quadrant on the coordinate plane and interpret these points when solving real world mathematical problems. CC.2.4.5.A.5 Apply concepts of volume to solve problems and relate volume to multiplication and to addition. CC.2.4.5.A.1 Solve problems using conversions within a given measurement system. Unit 8 Family Letter