Mathematics 5 Status: Proposed Revision MASD Course Guide for Mathematics 5 Description: Students will develop a foundation of math concepts and skills through a variety of independent and collaborative activities. Course Objectives & PA Common Core Standards: Students will engage in the following PA Common Core Standards for Mathematical Practice as they apply course concepts and skills to age-appropriate contexts within a standards-aligned curriculum: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Number & Operations in Base Ten 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 and understanding of operations with whole numbers to perform operations including decimals. 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. Operations and Algebraic Thinking CC.2.2.5.A.1 Interpret and evaluate numerical expressions using order of operations. CC.2.2.5.A.4 Analyze patterns and relationships using two rules. Geometry CC.2.3.5.A.1 CC.2.3.5.A.2 Graph points in the first quadrant on the coordinate plane and interpret these points when solving real world and mathematical problems. Classify two-dimensional figures into categories based on an understanding of their properties. Measurement, Data and Probability CC.2.4.5.A.1 Solve problems using conversion within a given measurement system. CC.2.4.5.A.2 Represent and interpret data using appropriate scale. CC.2.4.5.A.4 Solve problems involving computation of fractions using information provided in a line plot. CC.2.3.5.A.5 Apply concepts of volume to solve problems and relate volume to multiplication and to addition. Mathematics 5 Status: Proposed Revision Course Concepts and Skills: Number & Operations in Base Ten Add decimals Estimate decimal sums Properties of addition Divide decimals Divide whole numbers Division strategies Remainders with division Equations Multiplication strategies Multiply decimals Multiply whole numbers Properties of multiplication Scale and multiplication Compare and order decimals Decimal notation Read decimals Round decimals Write decimals in different forms Exponents Place-value models Powers of ten Estimate decimal differences Subtract decimals Add fractions Add mixed numbers Addition with benchmark fractions Rename fractions and mixed numbers Visual fraction models with addition Compare decimal fractions Decimal notation with fractions Place value of decimals Write decimals Divide unit fractions Fractions as division Visual fraction models with division Common denominators Compare and order fractions Equivalent fractions Simplest form of fractions Fraction equivalence on the number line Find area of rectangle with fractional measurements Multiple units of fractions Multiply fractions Multiply mixed numbers Visual fraction models Benchmark fractions with subtraction Estimate differences when subtracting fractions Subtract fractions Subtract mixed numbers Subtract with renaming Visual fraction models with subtraction Understand fractions on the number line Understand unit fractions Operations and Algebraic Thinking Equations Estimate sums Division equations Multi-step word problems with division Remainders with division Factors Multiples Prime numbers Multiplication of equations Even and odd numbers Multiplicative comparison Generate two numerical patterns Graph two numerical patterns on the coordinate plane Evaluate numerical expressions Interpret numerical expressions Order of operations Write numerical expressions Additive Identity Property Associative Property of Addition Associative Property of Multiplication Commutative Property of Addition Commutative Property of Multiplication Distributive Property Identify Property of Multiplication Zero Property of Multiplication Equations with Subtraction Estimate differences Expressions and Equations Evaluate algebraic expressions Geometry Define a coordinate system Graph in the first quadrant Ordered pairs Angles on 2D shapes Classify quadrilaterals Classify triangles Measurement, Data and Probability Convert units for length and distance Convert units for liquid, volume, and capacity Convert units for mass and weight Interpret data on a Bar graph Compare data on a bar graph Mathematics 5 Status: Proposed Revision Interpret data on a line plot Represent data on Bar graph Frequency table to represent data Line plot Find area of a complex figure Find area of a rectangle Formula for area Relate area to perimeter Units of area Compare area and perimeter Find Perimeter of a rectangle Linear and area measures Relate perimeter to area Attribute volume in solid figures Formula for volume Measure volume Model volume Volume as additive Student Attitudes and Appreciations to be Developed: recognize and appreciate the significance and purposes of numbers and shapes in their world pay mind to details and habits while working importance of expressing thought processes or “thinking out loud” Suggested Activities to Support Objectives: Modeling of mathematics Math Talk Interactive Promethean activities Guided and independent practice Math games Suggested Methods of Instruction: Direct instruction Differentiated instruction Small group instruction Evaluation Criteria/Procedures: Students will be evaluated in accordance with the Moon Area School District grading policies and procedures. Textbooks & Resource Materials to be Used by Students: Math Expressions (2012) Houghton Mifflin Harcourt Suggested Supplemental Texts & Resources for the Guidance of the Teacher: Soar to Success Math Mega Math Destination Math Appendix A: Course Implementation Needs Mathematics 5 Status: Proposed Revision Adoption and subscription includes the following components: Teacher Edition Student Activity Book and MathBoards Homework and Remembering Blackline Masters Assessment Guide Individual student manipulatives kit Materials and manipulatives kit Custom manipulatives kit Teacher modeling kit Math Center Challenges Easel Teacher’s Resource Book Response to Intervention Blackline Masters Differentiated Instruction Activity Card Kit Math Expressions Literature Library Collection Anno’s Counting Book Big Book eTeacher Edition eStudent Activity Book Online Lesson Planner Math Expressions Online Assessment MegaMath Destination Math Soar to Success Math Intervention Interactive whiteboard lessons iTools (virtual manipulatives) Bilingual eGlossary ExamView Common Core Test Generator CD-ROM Professional Development Video Podcasts Appendix B: Suggested Budget for Course Implementation Needs See quotation. Appendix C: Course Guide Preparation & Approval Details Prepared by K. Prevost in conjunction with Houghton Mifflin Harcourt Recommended by K. Prevost, Assistant Director of curriculum Elementary Principals: J. Carter, L. Conti Dinello, C. Johns, J. Johnson, M. Ungarean Mathematics 5 Status: Proposed Revision Middle School Principal: Melissa Heasley Assistant Superintendent: Dr. Cynthia Zurchin Superintendent: Dr. Donna K. Milanovich Approved by the MASD Board of Education on <<Date>>