District 11 Educational Support Services
Mathematics








Grade 4: March Unit
Fractions and Decimals
(@ 15 days)

Overview
View the video introduction. (Decimal Arithmetic, or Get to the Point) March of fourth grade focuses on learning mathematics skills and includes lessons on problem solving strategies, place value in decimals, and computation. You will gain a deeper understanding of identifying place value in decimals to the hundredths place, identifying and comparing fractional parts of a collection of objects, and predicting outcomes with a spinner, flip coin, or cube (dice). As fourth graders you will experience math problems involving real world situations; fractional parts of regions, collections of objects, and wholes using manipulatives and/or visual representations; recognizing and extending more complex patterns; identifying place values to hundredths in decimals; and choosing appropriate problem-solving strategies.

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.

  • 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.

  • 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?)

  • 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?

  • Why can we say that all of math patterns?

  • 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?

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 - March

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.)

Standard 2: Patterns and Algebra - March

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).

Standard 3: Data and Graphs - March

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.

Standard 4: Geometry - March

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 - March

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

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

Standard 6: Computation - March

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.

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


 

March   Standards

Everyday Mathematics

Math Expressions

Fractions pp. 571, 599, 604, 605, 617, 729, 730, 736, 738 also multiple pages under Fractions pp. 841-842, 849, 854-855, 886-888, 902-905, 910 and multiple pages under Fractions

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 3 by working with parts of wholes (fractions and decimals). The wholes can be pizzas or other objects, and the important thing is to divide the whole into equal parts. These parts can be added together to make more than one whole. For example, cut pizzas or cookies into two pieces, or halves. Allow your child to add up more than two halves to make more than one whole. Let them talk to you about what they see and what it means. This activity will help your child gain practical understanding of adding and subtracting fractions with the same denominator, and why we find common denominators. Play games with spinners or dice to help your child with predicting outcomes. It is in talking about the game, the pizzas, and the cookies that your child will solidify this learning. And you will have fun together, too!

Consider supporting your fourth grader in fourth quarter mathematics using the following no-cost, high fun activities. Use money to help them understand the hundredths place in decimals. ($.25 is 25 out of a hundred pennies or a dollar) Next time you bake or buy a dozen cookies or doughnuts, point out a fractional part of the whole dozen. (1/3 of a dozen = 4; 1/4 of a dozen = 3; 1/2 of a dozen = 6; 1/6 of a dozen = 2) Start patterns with geometric shapes or numbers and ask your child to continue the pattern. Take turns creating and continuing the patterns. Have your child measure lengths for a household project using a ruler, yardstick, or tape measure. Help them know where to start and how to read the measurement. Explain what 5/8 of an inch means and where it is on the measuring tool. Play games that use spinners, dice, or flipping a coin and have your child predict the outcome. A ruler from WalMart: $.49. A dozen doughnuts: $3.99. Helping your child understand math in a fun and practical way: Priceless!
Reading and Math Strategies for Parents - includes the top 10 strategies in each subject.


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