District 11 Division of Operations & Instruction
Mathematics







 

Grade 5: October Unit
Fractions, Patterns, and Number Sentences
(@ 20 days)

Overview

View the Video Introduction. October focuses on critical mathematics skills and includes lessons on number sense, data and graphs, measurement, geometry, and patterns and algebra. As fifth graders you will experience math activities that develop higher level estimation skills in a problem solving context, recognize representations of fractions, decimals, and percents, and use patterns and all four operations in problem solving situations. You will develop skills needed to identify, analyze, explain, and extend the concepts of 2-dimensional shapes, basic computation, fractions/decimals/percents, and patterns in problem solving situations. The four basic computation operations will continue to be reviewed with the added aspect of communicating an explanation of each.

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

  • Solving real-world problems requires a sense of number, communication, and reasoning skills.

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

  • How can we know which operation(s) to use in a problem solving situation?

  • What essential components are needed to solve real-world problems?

  • What do patterns reveal?

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 - October

Read, write, compare, order & place on a number line common fractions (i.e., ½, 1/3, 1/4/ 1/8, 1/10) decimals and percentages.

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

Recognize pictorial representations of common fractions, decimals and percents.

Show equivalence of common fractions and percents.

Use estimation strategies to determine reasonable answers in addition and subtraction.

Compare commonly used proper fractions and terminating decimals.

Use number sense to estimate sums and differences of fractions and decimals (i.e., 5/6 + 7/8 must be equal to an amount less than 2, since each fraction is less than 1).

Standard 2: Patterns and Algebra - October

Recognize, explain and extend a linear pattern in a problem solving situation.

Analyze and describe patterns using words, tables and graphs.

Standard 3: Data and Graphs - October

Organize and construct displays of data including tables, charts, pictographs, line plots, bar graphs, circle graphs and line graphs from a given set of data using appropriate tools.

Analyze and draw conclusions about tables, charts, line graphs, bar graphs, pictographs, and line plots.

Read data from tables, charts, pictographs, line plots, bar graphs, circle and line graphs with categorical (i.e., number of pets) and numerical (i.e., heights of buildings) data.

Describe how data collections methods affect the nature of a data set.

Distinguish between median and mode of a set of data.

Identify mean, median, mode and range of data.

Standard 4: Geometry - October

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 - October

Select and use the appropriate unit and tool to measure to the degree of accuracy required in a particular problem (i.e., degree of angle, nearest ¼ inch).

Determine the appropriate unit of measure (metric or US customary) when estimating distance, capacity, weight, and temperature.

Generate a hypothesis or conjecture and solve measurement problems of appropriate complexity created from real-world problems.

Standard 6: Computation - October

Using number sentences and any of the four basic operations, create and illustrate “real” problems with whole numbers.

Use, explain, and demonstrate the understanding of the four basic operations in problem-solving situations.

Use and explain a variety of estimation techniques to solve problems.

Using concrete materials or pictures, determine commonly-used percentages (i.e., 25%, 50%, etc.) in problem-solving situations.

Determine whether information given in a problem is sufficient, insufficient, or extraneous.

 

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

 

October Standards

Everyday Mathematics

Math Expressions

Use number sentences and 4 operations to illustrate real problems.

pp. 92-97, 113, 237-240, 267, 385, 519-523, 533, 541, 562, 708, 729 and Problem Solving

pp. 6, 7, 11, 13, 26, 33, 39-40, 48, 60, 67, 76, 78, 100-101, 103, 134, 154, 227, 264-267, 272-276, 381, 393, 413, 497, 503, 530, 684

Read, write, order, place common fractions, decimals, percents

pp. 304, 351, 572, 576-582, and multiple other pages under Fractions, Decimals, and Percents

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

Explain, extend, linear pattern in problem solving

Multiple pages under Patterns, Graphs, Tables and Charts, and Number

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

MORE CHART INFORMATION TO COME...

Resources for Teachers

For Scott Foresman and Houghton Mifflin page numbers click here.
• 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

Your fifth grader is preparing for middle school and higher level mathematics. You can support this transition by ensuring a quiet place and regular time to do math work at home. Expressing interest in what your child is studying will strengthen his/her abilities to explain the mathematics learned in class; a strategy that helps with the transfer of information from short term to long term memory.
 


 

 

Lessons

Lesson 1: Fractions

Duration: @ 1 class period

  • Standard information #:  Standard #
  • District Indicator: Write district indicator here
  • Enduring Understanding: Write enduring understanding here.
  • Essential Questions: Write essential question here.
  • Assessment: Write assessment here.

Assessment: Write assessment here.

Activities

  1. Adding Fractions - First let's find out what you already know about adding fractions. Answer the math problems to the best of your ability. Don't ask for help. The program will tell us where we need to begin your instruction.  Click on Adding Fractions. Our goal at the beginning of this unit is to have you at level 5 Proficiency. If you are below, are below, don't worry, the program will help you catch up.
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Resources

Differentiation

  • Extension: Extension
  • Support: Support

Lesson 2: Lesson 2 title

Duration: @ 1 class period

  • Standard information #:  Standard #
  • District Indicator: Write district indicator here
  • Enduring Understanding: Write enduring understanding here.
  • Essential Questions: Write essential question here.
  • Assessment: Write assessment here.

Essential Questions: Write essential question here.

  • Assessment: Write assessment here.

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    Resources

    Differentiation

    • Extension: Extension
    • Support: Support

    Lesson 3: Lesson 3 title

    Duration: @ 1 class period

    • Standard information #:  Standard #
    • District Indicator: Write district indicator here
    • Enduring Understanding: Write enduring understanding here.
    • Essential Questions: Write essential question here.
    • Assessment: Write assessment here.

    Activities

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    Differentiation

    • Extension: Extension
    • Support: Support

    Sample Rubric for Math

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    Lesson 4: Lesson 4 title

    Duration: @ 1 class period

    • Standard information #:  Standard #
    • District Indicator: Write district indicator here
    • Enduring Understanding: Write enduring understanding here.
    • Essential Questions: Write essential question here.
    • Assessment: Write assessment here.

    Activities

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    Resources

    Differentiation

    • Extension: Extension
    • Support: Support

    Lesson 5: Lesson 5 title

    Duration: @ 1 class period

    • Standard information #:  Standard #
    • District Indicator: Write district indicator here
    • Enduring Understanding: Write enduring understanding here.
    • Essential Questions: Write essential question here.
    • Assessment: Write assessment here.

    Activities

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    Resources

    Differentiation

    • Extension: Extension
    • Support: Support

    Lesson 6: Lesson 6 title

    Duration: @ 1 class period

    • Standard information #:  Standard #
    • District Indicator: Write district indicator here
    • Enduring Understanding: Write enduring understanding here.
    • Essential Questions: Write essential question here.
    • Assessment: Write assessment here.

    Activities

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    Resources

    Differentiation

    • Extension: Extension
    • Support: Support