•  5th Grade EPP (2019-2020)

    Math Resources 

    • ST Math and First in Math
    • College Preparatory Mathematics, Core Connections Course 1 
      • Students will have a math textbook, ebook (online access to homework and textbook), and math notebooks. 
      • Please click on “CPM Website Links” to the left of the EPP Homepage to access student and parent resources. 

    5th EPP Curriculum Overview 

    You will be amazed at the mathematical skills your child learns this year! We will work on Common Core State Standards and the 8 Mathematical practices using the program College Preparatory Mathematics.  We will continue to work on enrichment activities to deepen our appreciation and passion for mathematics. 

    CPM Core Connections Course 1 is divided into 9 chapters. Each chapter is divided into sections. The curriculum is designed to spiral and students will work on many math skills in each chapter. Students will complete investigations and challenging problems to better understand mathematical concepts. 

    Homework Expectations 

    Students will be assigned homework every Friday. It will be due the following Friday. Students will complete Review and Preview Homework assignments. All work should be shown on homework packet and/or a seperate sheet of paper. Homework will cover math skills previously learned in class. If your child has homework questions, encourage him/her to speak up and ask his/her teacher for help. 

     

    Celebrations!

    The fifth grade class did a great job working together as a team to create an enlarged drawing of our Dragon Mathscot! It is on display outside our classroom on our bulletin board. I’m so proud of how the students have united as a group to problem solve

     

    Current Math Topics

    Recently, we have been studying ratios and rates. We have explored how ratios relate to art through Scholastic Math Magazine article “Don’t Eat the Art!” 

     

     Fifth graders will soon jump into the exciting world of algebra and learned the importance of attending to precision when simplifying algebraic and numerical expressions. We will generate equivalent algebraic expressions using the identity, commutative, associative, and distributive property. 

     

    In the second trimester, we will understand the rules for multiplying and dividing fractions and mixed numbers. 

     

    We will also investigate two dimensional and three dimensional shape properties. We will build various polyhedrons as part of our enrichment project. We will develop rules for calculating area of triangles, parallelograms, and trapezoids. 


     

    5th EPP Curriculum Overview 

    We will work on Common Core State Standards and the 8 Mathematical practices using the program College Preparatory Mathematics.  We will continue to work on enrichment activities to deepen our appreciation and passion for mathematics. 

     

    CPM Core Connections Course 1 is divided into 9 chapters. Each chapter is divided into sections. The curriculum is designed to spiral and students will work on a many math skills in each chapter. Students will complete investigations and challenging problems to better understand mathematical concepts. 

     

    Homework Expectations 

    Students will be assigned homework every Friday. It will be due the following Friday. Students will complete Review and Preview Homework assignments. All work should be shown on a separate sheet of looseleaf paper with the problems clearly labeled. Homework will cover math skills previously learned in class. If your child has homework questions, encourage him/her to speak up and ask his/her teacher for help. 

     

    Trimester 2 Math Topics (Chapters 4-6)

    Variables and Ratios 

    • Dividing 
    • Mixed Numbers and Fractions Greater Than One 
    • Adding and Subtracting Mixed Numbers
    • Using Variables to Generalize 
    • Evaluating Algebraic Expressions 
    • Ratios 

    Multiplying Fractions and Area 

    • Multiplying Fractions 
    • Multiplying Mixed Numbers
    • Multiplying Decimals 
    • Base and Height of a Rectangle 
    • Parallelogram Vocabulary 
    • Area of a Parallelogram 
    • Area of a Triangle 

    Dividing and Building Expressions 

    • Area of a Trapezoid
    • Order of Operations 
    • Naming Algebra Tiles 
    • Combining Like Terms 

     

    VOCABULARY:

    Chapter 4- algebraic expression, enlarge, equivalent expressions, evaluate, reduce, similar figures, substitution, variable, vertex (vertices) 

     

    Chapter 5- base, height, parallel, perpendicular, quadrilateral, trapezoid, triangle 

     

    Chapter 6- coefficient, combining like terms, constant term, simplify, term, variable 



     LEARNING TARGETS 

    • I can translate a relationship given in words into an algebraic expression. 
    • I can identify parts of an algebraic expression by using correct mathematical terms.
    • I can recognize when an expression is representing a sum and/or difference of terms versus a product and/or quotient of terms (e.g., the expression 5(x+3) is representing a product of the terms 5 and (x+3) while the expression 5x+3 is representing a sum of the terms 5x and 3). 
    • I can recognize an expression as both a single value and as two or more terms on which an operation is performed. 
    • I can evaluate an algebraic expression for a given value. 
    • I can substitute values in formulas to solve real-world problems. 
    • I can apply the order of operations when evaluating both arithmetic and algebraic expressions. 
    • I can use a visual model to represent the division of a fraction by a fraction. 
    • I can divide fractions by fractions using an algorithm or mathematical reasoning. 
    • I can justify the quotient of a division problem by relating it to a multiplication program.
    • I can use mathematical reasoning to justify the standard algorithm for fraction division.
    • I can solve real world problems involving the division of fractions and interpret the quotient in the context of the problem. 
    • I can create story contexts for problems involving the division of a fraction by a fraction. 
    • I can explain the relationship between the formulas for the area of rectangles, parallelograms, triangles, and trapezoids.
    • I can solve real-world problems that involve finding the area of polygons.
    • I can fluently add and subtract multi-digit decimals using the standard algorithm. 
    • I can fluently multiply multi-digit decimals using the standard algorithm. 
    • I can fluently divide multi-digit decimals using the standard algorithm. 




    Common Core State Standards

     Mathematically proficient students:

    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.




    Write, read, and evaluate expressions in which letters stand for numbers.

    1. Write expressions that record operations with numbers and with letters standing for numbers.

    For example, express the calculation “Subtract y from 5” as 5 – y.

    1. Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.

    For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.

    1. Evaluate expressions at specific values of their variables.  Include expressions that arise from formulas used in real-world problems.  Perform arithmetic operations, including those involving whole number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations).

    For example, use the formulas V = s3 and A = 6 s2 to find the volume and surface area of a cube with sides of length s = 1/2.

     

    Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions; e.g., by using visual fraction models and equations to represent the problem.

    For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3.  (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?

     

    Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.




    Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.