District 11 Educational Support Services
Mathematics



Grade 4: February Unit
Fractions, Decimals, and Probability (@ 20 days)

Overview
 February of fourth grade focuses on critical mathematics skills and includes lessons on identifying the whole for fractions using visuals and manipulatives; predicting outcomes with a spinner, flip coin, or cube (dice); choosing the appropriate strategy to solve problems; demonstrate with manipulatives addition and subtraction of fractions with like denominators less than or equal to one whole; identifying place value in decimals to the hundredths place; and identifying and comparing fractional parts of a collection of objects.

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

  • Numbers can be represented, ordered, and communicated in many different forms.

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

  • Mathematics is a tool for communication.

  • Communicating mathematical reasoning helps justify solutions.

  • A sense of number is necessary to solve problems.

  • Fractions and decimals are related.

  • Predicting outcomes is important in determining probability and reasonableness of answer.

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

  • How are fractions and decimals related? (same and different?)

  • How do number values change depending on the place the digit is in?

  • In what ways does number sense, including estimations, predictions, and mental math, help 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 - February

Identify place value of decimals to hundredths.

Identify and compare fractional parts of a collection of objects.

Identify the whole for fractions using hands-on materials and/or visual representations (base ten blocks, pictures, fraction strips).

Identify fractional parts of regions (i.e., ½, ¼, 1/10, etc.)

Show division of whole numbers as not commutative (1 digit into 2 digits).

Standard 2: Patterns and Algebra - February

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 - February

Predict, determine and support which outcomes are most likely, least likely or equally likely from flipping a coin, spinning a spinner with 4 congruent sectors, and rolling a number cube.

Define, apply and interpret the concepts of probability to determine the outcomes.

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

Given pictures, describe all possible combinations of matching the elements of two sets.

Standard 4: Geometry - February

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 - February

Relate units of measurement of length, area, volume, capacity, weight, and temperature in US and metric units.

Choose appropriate units of measure for length, area, volume, capacity, weight, temperature, and/or time to solve problems.

Standard 6: Computation - February

Using money notation, add and subtract decimals in which sums and differences may exceed $1.00.

Solve multiplication of 2- or 3-digit numbers by 1-digit numbers.

Using paper and pencil, demonstrate the four basic operations of whole numbers including addition, subtraction, multiplication of 2- or 3-digit numbers by a 1-digit number, and division of a 2-digit number by a 1-digit number.
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


 

February
 Standards

Everyday Mathematics

Math Expressions
Probability pp. 510, 564-575, 609 pp. 800-806, 808-810, 852
Fractions pp. 505, 508, 514, 528-541, 562 also multiple pages under Fractions pp. 476-749, 761-764, 767, 769-771, 785-787, 790-791, 796-797,. 812, 814-815, 817, 823, 841, 844-845, 847, 852 and multiple pages under Fractions

Decimals

pp. 210-211, 214-218, 256-260, 289

pp. 888-889, 897, 909-911, 916, 924, 946

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.

 

Lesson 1: Lesson 1 Title
Duration: @ 1 class period

Standard information #: 
District Indicator:
Enduring Understanding:
Essential Questions:
Assessment:

Activities

  2.  

Resources

 Differentiation
Extension: Extension
Support: Support

    • © 2007 Colorado Springs School District 11

    Disclaimer