District 11 Educational Support Services
Mathematics



 

Grade 4: October Unit
Estimation, Data, and Facts
(@ 20 days)

Overview
Video introduction. October
focuses on critical math skills and includes lessons on estimation 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 and the value of estimation in determining a reasonable answer. Mathematical relationships between concepts will be explored.

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 - October

Use and apply estimation strategies to determine reasonable answers when computing.

Read, write and identify numbers to the place value of hundred-thousand, include giving the value of the digits in numeral to the place value of hundred-thousand.

Generate equivalent representations for the same number up to 99,999.

Recognize a number from its written version (word form into standard form).

Use a number line, hundreds chart, or other number chart to locate, label, or count from any number by 2s, 3s, 5s, 10s or 100s.

Standard 2: Patterns and Algebra - October

Determine a missing element in a pattern that uses pictures, geometric shapes or numbers (i.e., solving for the unknown quantity in simple equations in addition and subtraction).

Use, explain, and demonstrate the understanding of patterns and missing elements in problem solving situations.

Standard 3: Data and Graphs - October

Read and interpret data tables, using the concepts of largest, smallest, most often and middle.

Using statistical landmarks read and interpret tables, line plots, bar graphs and pictographs.

Use estimation strategies to determine reasonable answers based on tables, line plots, bar graphs and pictographs.

Standard 4: Geometry - October

Identify, name, draw and label lines and line segments, to include intersecting and parallel lines.

Identify, classify and compare 2-dimensional figures (trapezoids, parallelograms, rhombus and other polygons).

Name, draw and label angles, triangles, trapezoids, parallelograms, rhombuses, quadrangles and other polygons.

Recognize common attributes of squares and rectangles.

Standard 5: Measurement - October

Compare objects according to measurable attributes of length and area in US and metric units.

Standard 6: Computation - October

Solve basic multiplication facts through 12.

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

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


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
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

Determining reasonableness using estimation and computation

Multiple pages under Estimation, Rounding, and Problem Solving/estimation

Multiple pages under Estimation, Rounding, and Problem Solving/estimation

Computation review

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

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

Complex patterns

pp. 71, 162, 726, 752-756

pp. 1H, 4-5, 7-9, 28, 33, 36, 41-42, 48-49, 72-73, 76-77, 80-81, 83, 91-95, 118, 210, 366, 430-434, 439K, 445, 448-450, 461, 467, 469, 475, 481, 483, 491, 503, 509, 515, 537, 55, 551, 557, 611, 623, 630, 636, 644, 681, 719, 889, 897

Graphic representations

Multiple pages under Data and Graphs

Multiple pages under Data and Graphs

Multi-digit addition/subtraction with trades

pp. 109-114, 118, 120-126, 303, 315, 341

pp. 225G- 225J, 230, 233, 322-323, 325, 336-337, 344, 351-352, 356-359, 361-362, 364-365, 367-369, 372, 377, 391, 396

Problem solving with addition/subtraction

pp. 79, 100, 114, 126, 143, 178,  291-302

Multiple pages under Problem Solving

Basic multiplication facts through 12

 

pp. 140, 146-161, 167, 170, 187, 221, 280-285, 463, 921

pp. 2-9, 12-17, 21-23, 25, 27-30, 33, 35-38, 41, 43-45, 47-49, 51-55, 57, 61, 65, 69, 72-75, 77, 80-87, 89, 92-95, 97, 105-107, 109, 111, 113-114, 121, 127, 139

MORE CHART INFO. 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: Lesson 1 Title
Duration: @ 1 class period

Standard information #: 
District Indicator:

Enduring Understanding:

Essential Questions:

Assessment:

Activities

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Resources

Differentiation

Extension:
Extension
Support:
Support