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>>