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Grade 4: January Unit
Fractions, Patterns, and Predictions
(@ 15 days) |
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Overview
View the
Video Introduction.
(Factors and Multiples, or Changing Times)
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.
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Enduring Understandings
are important ideas that students should carry with them years beyond the
instruction received this year.
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Numbers can be represented, ordered, and communicated in many different
forms.
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A
sense of number is necessary to communicate the reasoning used in
problem solving.
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Patterns help us make sense of our world and solve problems.
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A
sense of number is necessary to solve problems.
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Fractions and decimals are related.
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Predicting outcomes is important in determining probability and
reasonableness of answer.
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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.
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How
are fractions and decimals related? (same and different?)
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In
what ways does number sense, including estimations, predictions, and
mental math, help solve real-world problems?
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Why
can we say that all of math patterns?
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In
what ways can we communicate the reasoning used in problem solving
situations?
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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).
Unit Vocabulary
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Use the
Visual Thesaurus and use
the approved login and password to the right. |
Login:
es35@d11.org
Password: d112009 |
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January
Standards |
Everyday
Mathematics |
Math Expressions |
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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 |
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Computation review |
Multiple pages
under Addition, Subtraction, Multiplication, Division, and Review
and Assessment |
Multiple pages
under Addition, Subtraction, Multiplication, Division, and Review
and Assessment |
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Probability |
pp. 583-586, 627-630, 633-635, 637, 702 |
pp.373, 946-948, 949, 951-954 |
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Complex patterns |
pp. 165, 363, 365, and multiple pages under patterns and counting |
pp. 20-21,
58, 95, 114, 137, 151, 784-788, 998 |
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Problem solving
using all 4 operations |
Multiple pages under Problem Solving |
Multiple pages under Problem Solving |
MORE CHART INFORMATION TO COME...
Resources for Teachers
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For Scott Foresman and Houghton Mifflin page
numbers click
here.
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Mountain Math, Math Their Way, Creative Mathematics (Kim Sutton), Math
Solutions (Marilyn Burns), Math Perspectives (Kathy Richardson) (if your
building has purchased these resources)
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Your particular math series (see chart on Unit pages listing page numbers
to support standards)
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Success Maker (ask your LTE)
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Exemplars (CSAP style problem solving with writing, 4-point rubrics, and
sample student papers available on D11 website For Teachers pages)
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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!
Reading and Math Strategies for Parents - includes the top 10 strategies
in each subject.
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Lesson 1:
Duration:
     
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials Needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 2:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 3:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 4:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials
needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources
Lesson 5:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials
needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 6:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 7:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials needed:
Assessment:
Activities
-
Differentiation
Support:
Extension:
Resources:
Lesson 8:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 9:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials Needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 10:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 11:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 12:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 13:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 14:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources
Lesson 15:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 16:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials Needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 17:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 18:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 19:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
Lesson 20:
Duration:
Standard: Standard #
District Indicator: Write district indicator here
Enduring Understanding: Write enduring understanding here.
Essential Questions: Write essential question here.
Materials needed:
Assessment:
Activities
Differentiation
Support:
Extension:
Resources:
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