District 11 Educational Support Services
Mathematics



Grade 4: January Unit
Fractions, Patterns, and Predictions
(@ 15 days)

Overview
January
of fourth grade focuses on critical mathematics skills and includes lessons on identifying the whole for fractions using visuals and manipulatives; recording and extending number patterns to solve problems; showing how changes (addition/subtraction/multiplication) in one whole number changes the outcome of the computation; predicting outcomes with a spinner, flip coin, or cube (dice); choosing the appropriate strategy to solve problems; choosing the correct symbol to make the math sentence true; 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. 

  • Patterns help us make sense of our world and solve problems.

  • 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.

  • Problem solving strategies help us achieve a quality solution.

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?)

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

  • Why can we say that all of math patterns?

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

  • 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 - January

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.)

Give equivalencies between tenths and hundredths in commonly used fractions.

Locate fractions on a number line.

Standard 2: Patterns and Algebra - January

Determine a missing number in a set.

Recognize and extend a number pattern to solve a problem.

Using whole numbers show how a change in one number affects a change in another by addition, subtraction, or multiplication.

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

Standard 3: Data and Graphs - January

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.

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

Standard 4: Geometry - January

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 - January

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.

Measure and determine perimeter of polygons to the nearest ¼ inch and centimeter.

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

Standard 6: Computation - January

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

Choose an operation symbol to make a math sentence true.

Using pictures, objects and manipulatives, demonstrate addition and subtraction of commonly used fractions with the same denominators where sums and differences are equal to or less than a whole (i.e., ½, 1/3, 1/8, 1/10).


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


 

January
Standards

Everyday Mathematics

Math Expressions

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

Computation review

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

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

Probability pp. 510, 564-575, 609 pp. 800-806, 808-810, 852

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

Problem solving using all 4 operations

pp. 114, 126, 143, 178, 79, 100, 175-178, 194, 217, 285, 291-302, 308, 360, 377-381, 385, 387, 392, 402, 420, 790

pp. 17-18, 25, 31, 41, 66-67, 69, 123, 125, 136-137, 156, 163-164, 211, 251, 255, 257, 270, 279, 288, 381, 385, 432, 459, 473, 481, 504-514 

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

  1.  

Resources

Differentiation

Extension:
Extension
Support:
Support