District 11 Division of Operations & Instruction
Mathematics







Grade 5: September Unit
Analyze, Explain, Extend
(@ 20 days)

Overview

View the Video Introduction. (Factors and Multiples, or Changing Times) The September unit 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, read and analyze data in a variety of formats, identify the attributes of 2-dimensional shapes, and use patterns and all four operations in problem solving situations. 

Assessment Blueprints - As District 11 Diamond Units/Lessons are designed and linked to the Math Web, we will add the Assessment Blueprints that teachers created. Teachers creating Diamond Units and Lessons design those based on the concepts found in Understanding by Design. It promotes the development of a comprehensive assessment plan before any of the activities are designed. This guarantees that learning activities are appropriately aligned to standards, and provide varied opportunities for students to demonstrate mastery.

Before presenting the lessons, we encourage you to review the following Assessment Blueprint for the September unit.
Assessment Blueprint for September
Teacher observation, Hundreds Chart, Calendar Activities, Math Bingo, Manipulative/White Board/Slate assessments, EDM assessment CD’s.

Sample Rubric for Math

4  
3  
2  
1  

 
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 do we make a reasonable estimate to solve a problem?

  • How can you represent the same data in a variety of ways?

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

  • How can graphic representations of data help us solve problems?

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

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-September

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.

Use appropriate techniques to estimate, determine, and then justify the reasonableness of solutions to problems involving whole numbers.

Show equivalence of common fractions and percents.

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

Recognize and write representative numbers in different formats (i.e., 30+6; 20+16; 9x4=36).

Compare commonly used proper fractions and terminating decimals.

Define and understand equality and inequality.

Develop, use and explain rules about whole number properties (associative, commutative, distributive).

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 - September

Analyze and describe patterns using words, tables and graphs.

Standard 3: Data and Graphs - September

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 including technology and pencil/paper.

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.

From a given scenario, choose the correct graph from possible graph representations.

Standard 4: Geometry - September

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 - September

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

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

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

Estimate the measure of angles (i.e., 90°, less than 90°, greater than 90°).

Standard 6: Computation - September

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

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 addition and subtraction operations in problem solving situations, then justify those results with correct computations.

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

Evaluate math reasoning in written and pictorial forms.

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

Determine from real-world problems whether an estimate or exact answer is acceptable.

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

Use the Visual Thesaurus and use the approved login and password to the right. Login: es35@d11.org
Password:
d112009
Grade 5 Math Vocabulary

algebraic expression
common denominator*
composite
customary unit

decompose
equilateral
exponent
greatest common factor
improper fraction

integer

inverse
isosceles

least common multiple

line of symmetry*

measure of central tendency*
metric unit

mixed number

parentheses

plane

prime

scalene

scales

square root

variables

x, y axis

x, y intercept

percentages*

K-5 Math Vocabulary Listed by Grade Level

 

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
Everyday Math Daily Routine

Math Expressions Lessons have been aligned to the CSSD11 pacing guide. Click the Daily MX Lesson links below to access lessons.
Click the following links to find books and games correlated to units of instruction K - 5th grades.

MX Literature Lists

MX Game Lists
MX Daily Routine

 

Daily MX Lessons 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

 

September Standards

Everyday Mathematics

Math Expressions

Identify, compare, and analyze 2 dimensional shapes by attribute

 

pp. 177, 180, 189, and multiple pages under Geometry

pp. 588, 1150

Use, explain, demo. 4 basic operations

Multiple pages under Addition, Subtraction, Multiplication, Division, and Fact Families

Multiple pages under Addition, Subtraction, Multiplication, Division, and Break-Apart

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. 7, 20, 23-25, 29, 31-32, 35-41, 47, 55, 61-64, 69-70, 73, 79, 85, 93, 101, 109, 238-239, 246, 250, 254-256, 260, 262, 720-734

Construct, organize and analyze data

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

pp. 72, 118, 274, 288-289, 302-305, 396-400, 410, 573 

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)


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:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials Needed:

Assessment:


Activities

 

Differentiation

Support: 

Extension:
Resources:  

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Lesson 2:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed: 

Assessment:


Activities

 

Differentiation

Support: 

Extension:
Resources:  

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Lesson 3:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:
Assessment:


Activities

 

Differentiation

Support: 

Extension:
Resources:  

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Lesson 4:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:

Assessment:


Activities

 

Differentiation
Support:

Extension:
Resources
 

Back to top



Lesson 5:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:
Assessment:


Activities


 

Differentiation

Support:

Extension:

Resources:

Back to top



Lesson 6:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:
Assessment:


Activities


 

Differentiation

Support:

Extension:

Resources:

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Lesson 7:
Duration:


Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:

Assessment:


Activities


  1.  

Differentiation

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Lesson 8:
Duration:


Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:

Assessment:


Activities

 

 

Differentiation

Support:

Extension:

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Lesson 9:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials Needed:

Assessment:


Activities


 

Differentiation

Support:

Extension:
Resources:
 


Back to top 
 


 

Lesson 10:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:

Assessment:


Activities

 

Differentiation

Support:

Extension:
Resources: 

Back to top
 


Lesson 11:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:
Assessment:

Activities

 

Differentiation

Support:

Extension:
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Lesson 12:
Duration:


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


Activities

 

 

Differentiation

Support:

Extension:
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Lesson 13:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:
Assessment:

Activities

 

 

Differentiation

Support:

Extension:
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Lesson 14:
Duration:


Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:
Assessment:

Activities

 


Differentiation
Support:
Extension:

Resources

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Lesson 15:
Duration:


Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:

Assessment:


Activities

 

 

Differentiation

Support:

Extension:

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Lesson 16:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials Needed:

Assessment:


Activities


 

Differentiation

Support:

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Lesson 17:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:

Assessment:


Activities

Differentiation

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Lesson 18:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:
Assessment:

Activities

 

Differentiation

Support:

Extension:
Resources:

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Lesson 19:
Duration:


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


Activities

 

 

Differentiation

Support:

Extension:
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Lesson 20:
Duration:

Standard:  Standard #
District Indicator:
Write district indicator here
Enduring Understanding:
Write enduring understanding here.
Essential Questions:
Write essential question here.
Materials needed:
Assessment:

Activities

 

 

Differentiation

Support:

Extension:
Resources:

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