District 11 Educational Support Services
Mathematics








Grade 4: December Unit
 Reasonableness of Answers (@ 15 days)

Overview
 View the Video Introduction. (Mental Math, or It's All in Your Mind) December focuses on critical math skills and includes lessons on estimation, mental math, and computation with different strategies, area and perimeter with common geometric shapes, computational review with multiplication facts through 12, and problem solving using all operations. You will gain a deeper understanding of computation the value of estimation in the reasonableness of answers. These foundational concepts allow you to become confident in intermediate level elementary school mathematics. The mathematical connections between concepts will continue to be explored. Can a monkey do mental math? Watch this Amazing Video and see.

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


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

  •  Mathematics is dependent on place value.

  • A sense of number is necessary to communicate the reasoning used in problem solving.

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

  • In what ways does number sense, including estimations and mental math, help solve real-world problems?

  • In what ways can I communicate the reasoning used in problem solving situations? 

  • What makes for a quality solution?

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

  • How do perimeter and area relate to addition and multiplication?

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 - December

Compare large numbers and order 0 – 99,999.

Use estimation strategies to determine reasonable answers in addition.

Recognize different combinations of currency and coins to $10.00.

Use number properties with any of the four basic operations (commutative, associative, property of zero and one).

Standard 2: Patterns and Algebra - December

Determine a missing element in a pattern that uses pictures, geometric shapes or numbers.

Identify a rule using addition, subtraction, or multiplication and solve a problem using the rule (i.e., function boxes, input/.output boxes, T-charts).

Describe patterns and other relationships using tables and graphs.

Standard 3: Data and Graphs - December

Find the median, the mode, the smallest and the largest element in a set of data.

Using statistical data landmarks, draw conclusions and make interpretations from a given data display.

Standard 4: Geometry - December

Solve problems involving the perimeter and area of triangles and squares.

Find perimeter and area of squares and rectangles on a grid.

Name and locate points specified by ordered number pairs on a coordinate grid.

Make turns, add fractions of turn; relate turns and angles.

Standard 5: Measurement - December

Determine the area of squares and rectangles on a grid.

Draw and measure line segments to the nearest ½ inch and/or centimeter.

Measure and determine perimeter of polygons to the nearest ½ inch and centimeter.

Standard 6: Computation - December

Choose and apply a strategy to solve mathematical and real world problems.

Demonstrate ability to borrow and carry (trade) in multi-digit addition and subtraction problems.

Solve basic multiplication facts through 12.

Using paper and pencil, demonstrate basic operations of whole numbers including addition and subtraction.

Unit Vocabulary

Use the Visual Thesaurus and use the approved login and password to the right. Login: es35@d11.org
Password: d112009
Grade 4 Math Vocabulary

am/pm

attribute

bar graph

base

capacity

computing

decimal

dividend

divisor

end point

metric

 

 

equation*

equivalent representation

event

expression*

height

intersecting

landmark*

line plot

line segment

maximum, minimum*

 

number sense

pictograph

plot

quadrangle

reasonable*

reflection, rotation, translation*

tables

unknown quantity*

ordered pairs
coordinates


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 Fourth Grade
Everyday Math Daily Routine		 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


 

November/December Standards

Everyday Mathematics

Math Expressions

Perimeter and Area

 pp.  660-663, 671, 680, 682-683, 686, 689,690, 692, 695-696

pp. 240-247, 250-256, 632, 637, 640 and multiple other pages under Perimeter and Area.

Basic multiplication facts through 12

pp. 164-166, 171-172, 177, 182, 204

pp. 20, 21, 39, 44, 45, 46, 52, 61, 88-90, 96, 98, 99, 100, 117-118, 508, 738, 740, 1000  

Problem solving using all 4 operations

Multiple pages under Problem Solving

Multiple pages under Problem Solving

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
You can support your fourth grader’s mathematics learning in quarter 2 by orally reviewing basic facts through 12. Help your child practice adding and subtracting with larger numbers. Talk about the difference between perimeter (the distance around: sides added together) and area (surface: length times width). Create a real world problem in multiplication by asking your child to find the perimeter and the area of a sandbox or other shape. Do it together and have your child explain his/her thinking to you. These activities cost nothing but gain much in the practical use of mathematics in daily life.
 

 

 

Lesson 1:
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District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
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Lesson 2:
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Lesson 3:
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District Indicator: Write district indicator here
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Lesson 4:
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District Indicator: Write district indicator here
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Essential Questions: Write essential question here.
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Lesson 5:
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District Indicator: Write district indicator here
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Lesson 6:
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District Indicator: Write district indicator here
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Standard:  Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
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Lesson 9:
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District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
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Differentiation

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Lesson 10:
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District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
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Lesson 11:
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District Indicator: Write district indicator here
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Lesson 12:
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Lesson 13:
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Lesson 14:
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District Indicator: Write district indicator here
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Lesson 16:
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Lesson 19:
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Lesson 20:
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District Indicator: Write district indicator here
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