District 11 Educational Support Services
Mathematics



Grade 3: February Unit
Fractions, Measurement, and Explanations
(@ 20 days)

Overview

February focuses on learning critical mathematics skills and includes lessons on number sense, computation with all operations, sets, data, fractions, decimals, and extended response writing in problem solving.  Third graders will experience finding the median and mode of sets of data and work with combining matched sets with two and three elements. Addition will include four digits with regrouping. In February simple fractions and decimals will be added and subtracted using pictures. All of the computation operations will be applied to whole numbers.

Standards

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

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

  • Graphics are tools used to clarify data.

  • Analyzing data displays allows us to interpret and explain data and make predictions based on probability and statistics.

  • The vocabulary of probability helps us develop reasonable solutions to problems.

 

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

  • How do we analyze data?

  • How do probability and statistics help us to make predictions?

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

Recognize equivalent decimals, fractions, and percents (.1, 10%, 1/10)

Develop a process for estimation and revision of that estimate.

Understand and solve problems using mental math and estimation.

Standard 2: Patterns - February

Identify, describe, and extend increasing and decreasing patterns (i.e., “what’s my rule? +, -, x)

Understand and solve problems using patterning.

Standard 3: Data and Graphs - February

Determine mode and median given a set of numbers.

Find all possible combinations (i.e., matching sets using a set of 2 elements and a set of 3 elements).

Define, understand, apply and interpret concepts of probability using most likely, least likely, equally likely, certain, impossible

Understand and solve problems related to probability, data, graphs, and tables.

Standard 4: Geometry - February

Identify 3-dimensional shapes.

Review Quarter 1 and Quarter 2 e-skills.

Understand and solve problems related to geometric concepts.

Standard 5:  Measurement - February

Read, interpret representations of length, weight, temperature.

Read and interpret number lines, graphs, and maps.

Measure distance between locations on a map.

Determine elapsed time

Understand and solve problems using appropriate measurement tools (i.e., time).

Standard 6: Computation - February

Add 4-digit numbers with regrouping.

Subtract 4-digit numbers with regrouping.

Use basic operations to compute using whole numbers (+, -, x).

Addition/subtraction of common fractions using pictures (denominator of 4 or less).

Knows basic multiplication/division facts of 1’s, 2’s, 3’s, 4’s, 5’s, 9’s, and 10’s (as well as 6, 7, 8, 11)

Select and use appropriate method to solve problems (+, -, x) and provide extended response problem solving using real world situations.

Determine from real-world problems, whether an estimated or exact sum, difference, or product is acceptable.

Understand and solve problems using appropriate computational techniques.

 

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
Third 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

Mode and Median

pp. 37, 166, 298, 481, 482, 772-776, 789-791, 860, 899, 900, pp. 386

Addition and Subtraction with regrouping

pp.48, 134-139, 140-145, 168 pp. 38, 41, 42, 72-78, 82-84, 92-94, 104-105, 111

Addition/Subtraction of fractions

pp. 584-639 pp. 816-823, 826-827, 829-831, 835-836

MORE CHART INFO. TO COME...

Resources for Teachers

What are Fractions?
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 third grader is ready to really move forward in mathematics! You can support this effort by giving your child practice with multiplication and division facts through 11. Help your child understand the inverse nature of multiplication and division by working with fact families. (2 * 4 = 8; 4 * 2 = 8; 8 / 4 = 2; 8 / 2 = 4) In addition and subtraction, your child needs to practice with 4 digits and regrouping. (borrowing, carrying) Ask your child to explain their answers in words or writing. Using common denominators of 4 or less, give your child experience adding and subtracting fractions using pictures or real objects. (1/2 + 1/2 = 1; 1/3 + 1/3 = 2/3; 3/4 - 2/4 = 1/4) Use terms like certain, most likely, least likely, and impossible to strengthen probability, estimation, and reasonableness of answer. Your efforts will be rewarded with fun times shared with your child in mathematics, and with increased understanding for your child in class.

 

 

Lessons

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

Standard information #: 
District Indicator:

Enduring Understanding:

Essential Questions:

Assessment:

Activities

  1.  

Resources

Differentiation
Extension:
Support: