District 11 Division of Operations & Instruction
Mathematics



 

Grade 5: May Unit
Fractions, Data Displays, and Computations
(@ 15 days)

Overview
View the Video Introduction. In May
of fifth grade, you will review and expand your knowledge of computation, data and graphs, and number sense. You will learn to use and explain strategies to construct various displays of data given a set of data; review computation of whole numbers and decimals in problem solving situations; represent fractions/decimals/percents and their equivalents; apply order of operations; and review computation of whole numbers without context in all operations.  All of these skills will help you become a successful math student in sixth grade.

Enduring Understandings are important ideas that students should carry with them years beyond the instruction received this year.

  • Data displays help us make sense of information in our world.
  • Multiplication and division are inverse operations and can be used to evaluate solutions for reasonableness.
  • There is more than one effective way to solve a problem.
  • Order of operations prepares us for higher level mathematics.
  • Computation with decimals and money/pay rates prepares us for real life.

Essential Questions are most important “big picture” questions students should be able to answer after completing learning activities.

  • How can I solve this problem in other ways?
  • How are multiplication and division related? How do they relate to fractions and decimals?
  • What are the ways to get information from different data displays?
  • Why is order of operations important?
  • Why is computational fluency important in life?
  • How are fraction, decimals and percents related?
CSAP Tested Standards  Highest Frequency High Frequency Other Standards and E-Skills

Highest Frequency = the timing, intensity and level of accountability is extremely high because mastery of these skills will must be demonstrated in multiple test items on CSAP at this grade level.
High Frequency = the timing, intensity and level of accountability is high because mastery of these skills will be tested at this grade level.
Other Standards and E-Skills = the timing, intensity, and level of mastery are not urgent. It should be introduced during this time so students can experience the concept and return in future quarters to strive towards mastery.

 

Standard 1: Number Sense - May

Represent and use fractions, decimals, and percents in a variety of models and then write the equivalencies for each model (6th grade item).

Read, write, order, locate, and compare positive fractions, and decimal numbers to hundredths (including on a number line).

Read, write and locate on a number line rational numbers with whole number place value to billions and decimal place value to hundredths.

Standard 2: Patterns and Algebra - May

Recognize and continue a geometric and/or numeric pattern (6th grade item).

Translate written words into algebraic form (6th grade item).

Recognize, explain and extend linear (i.e., ascending or descending pattern) and non-linear (i.e., use the rule of 4+3-2) patterns in a problem solving situation.

Standard 3: Data and Graphs - May

Organize and construct a line graph, bar graph, and frequency table from a set of data (6th grade item).

Identify mean, median, mode and range of data.

Standard 4: Geometry - May

Identify, compare, and analyze two-dimensional shapes by attributes (acute angles, obtuse angles, right angles, parallel lines, perpendicular lines, intersecting lines, congruence, similarity, rays, lines, line segments, etc.)

Standard 5: Measurement - May

Select and use the appropriate unit and tool to measure to the degree of accuracy required in a particular problem.

Identify the essential components of mathematical real-world problems using area, perimeter and symmetry.

Standard 6: Computation - May

Add and subtract decimals in problem-solving situations (6th grade item).

Apply order of operations (6th grade item).

Review computation of whole numbers without context (addition, subtraction, multiplication, division).

Use, explain and demonstrate the understanding of addition and subtraction operations in problem solving situations, then justify those results with correct computations.

Add and subtract fractions with unlike denominators.

 

Everyday Mathematics Resources Math Expressions Resources
Everyday Mathematics requires lesson by lesson presentation to preserve the spiral nature of the instruction. The page links provided on the Unit Chart are for comparison only. Teachers are advised to follow the district-determined EDM pacing calendar.
Everyday Math Games for
Fifth Grade
Click the following links to find books and games correlated to units of instruction K - 5th grades.

MX Literature Lists

MX Game Lists


 

May Standards

Everyday Mathematics

Math Expressions

Order of Operations

pp. 499, 524-529

pp. 102

Add/Subtract Decimals

pp. 79-91

pp. 163H, 176, 199-201, 207, 221, 296, 364-367, 373, 397, 402, 412-413, 452-453, 459

Organize, construct, analyze displays of data

pp. 72-73, 101-102,
338-407, 740

pp. 74, 332-333, 448

Computation review and fluency with 4 basic operations

Multiple pages under Addition, Subtraction, Multiplication, Division, and Review and assessment

Multiple pages under Addition, Subtraction, Multiplication, Division, and Review and assessment

Analyze/describe patterns in words, tables, graphs

Multiple pages under Patterns, Graphs, and Tables and Charts

pp. 7, 16, 23, 42, 44-47, 49, 73, 165, 184-185, 247, 540-542, 685, 686, 694, 697, 702, 788, 801, 900-901

Fractions, decimals and percents

pp. 259, 295, 300, 303, 325, 828

pp. 605-612, 703G, 833, 898-904, 906-915, 915 and multiple pages under Decimals.

MORE CHART INFORMATION TO COME...

Resources for Teachers
• Mountain Math, Math Their Way, Creative Mathematics (Kim Sutton), Math Solutions (Marilyn Burns), Math Perspectives (Kathy Richardson) (if your building has purchased these resources)
• Your particular math series (see chart on Unit pages listing page numbers to support standards)
• Success Maker (ask your LTE)
• Exemplars (CSAP style problem solving with writing, 4-point rubrics, and sample student papers available on D11 website For Teachers pages)
• Math Keys (electronic manipulative – ask your LTE)

Assessments
Teacher observation, Hundreds Chart, Calendar Activities, Math Bingo, Manipulative/White Board/Slate assessments, EDM assessment CD’s.


Parents
Share with your fifth grader the everyday mathematics you use in your job and at home. The practical application of mathematics to life will help your child see the need to learn mathematics. When you balance the checkbook, make a family budget, or decide what to buy at the grocery or clothing store, include your child as much as possible. Share your methods of figuring sale prices or percents off the regular price. "Think out loud" as you round prices to the next dollar amount, then ask if the money you have allotted for the shopping trip will cover the amounts you are considering spending. Allowing your child to participate as you use mathematics in common daily situations will help them make sense of the concepts. It will make using mathematics a natural, non-threatening part of their day and strengthen their confidence in mathematics class.


 

Lessons

Lesson 1:  
Duration: @ 1 class period

Standard information #: 
District Indicator:

Enduring Understanding:

Essential Questions:

Assessment:

Activities

  1.  

Resources

Differentiation
Extension:
Support: