District 11 Educational Support Services
Mathematics



 

Grade 4, Quarter 1: Complex Concepts

Overview
Q
uarter 1 of fourth grade mathematics focuses on critical skills and includes lessons on higher level number sense, geometry, computation with larger numbers, data and graphs, and patterns and algebra. As fourth graders you will experience math activities using estimation and computation, congruent shapes, creating and extending more complex patterns, interpreting data in different forms, and multiplication. You will build and expand on your third grade understanding of number, geometry, computation, complex patterns, algebra, and data analysis using graphs. Increased complexity of each content strand will be explored and investigated.

Standards

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

  •  Numbers help us make sense of the world around us.

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

  •  How are the skills of estimation and computation related?

  •  Why is being able to find different types of patterns in our world important mathematically and otherwise?

  •  Why might we want to show numerical information in a graph, table, or chart?

  •  How are addition and multiplication related? 

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 (August)
Read, write and order numbers to hundred thousand
Recognize and explain different strategies for estimating and computing.
Recognize and explain different strategies for estimating and computing with money.

Standard 4: Geometry (August)
Identify, describe and give examples of congruent shapes.
Identify, classify and compare 2-dimensional shapes and use vocabulary to describe the attributes (i.e., number of sides, vertices, angles and parallel sides).
Recognize and draw lines of symmetry in a given shape.
Identify a line of symmetry for a given shape.

Standard 5: Measurement (August)
Tell time in hours and minutes, including a.m. and p.m., using analog and digital displays.

Standard 6: Computation (August)
Review computation without context (addition, subtraction, multiplication, division facts)
Standard 1: Number Sense (September)

Use and apply estimation strategies to determine reasonable answers when computing.
Read, write and order numbers to hundred thousand
Read, write and identify numbers to the place value of hundred-thousand, include giving the value of the digits in numeral to the place value of hundred-thousand.
Recognize and explain different strategies for estimating and computing.
Generate equivalent representations for the same number up to 99,999.
Recognize and explain different strategies for estimating and computing with money.

Standard 2: Patterns and Algebra (September)
Reproduce, extend, create or describe patterns, using pictures, geometric shapes or numbers.

Standard 3: Data and Graphs (September)
Using statistical landmarks read and interpret tables, line plots, bar graphs and pictographs.
Use estimation strategies to determine reasonable answers based on tables, line plots, bar graphs and pictographs.
Standard 4: Geometry (September)

Identify, describe and give examples of congruent shapes.
Identify, classify and compare 2-dimensional shapes and use vocabulary to describe the attributes (i.e., number of sides, vertices, angles and parallel sides).
Recognize and draw lines of symmetry in a given shape.
Identify a line of symmetry for a given shape.
Identify shapes from their attributes.
Name, draw and label lines and line segments, to include intersecting and parallel lines.

Standard 5: Measurement (September)
Choose the appropriate tool (e.g., ruler, measuring cups, clock, scale/balance, thermometer) to measure familiar objects in situations that contain length, weight, capacity, time and temperature.

Standard 6: Computation (September)
Solve basic multiplication facts through 12.
Solve basic addition and subtraction problems.
Using paper and pencil, demonstrate basic operations of whole numbers including addition and subtraction.

Standard 1: Number Sense (October)
Use and apply estimation strategies to determine reasonable answers when computing.
Read, write and identify numbers to the place value of hundred-thousand, include giving the value of the digits in numeral to the place value of hundred-thousand.
Generate equivalent representations for the same number up to 99,999.
Recognize a number from its written version (word form into standard form).
Use a number line, hundreds chart, or other number chart to locate, label, or count from any number by 2s, 3s, 5s, 10s or 100s.

Standard 2: Patterns and Algebra (October)
Determine a missing element in a pattern that uses pictures, geometric shapes or numbers (i.e., solving for the unknown quantity in simple equations in addition and subtraction).
Use, explain, and demonstrate the understanding of patterns and missing elements in problem solving situations.

Standard 3: Data and Graphs (October)
Read and interpret data tables, using the concepts of largest, smallest, most often and middle.
Using statistical landmarks read and interpret tables, line plots, bar graphs and pictographs.
Use estimation strategies to determine reasonable answers based on tables, line plots, bar graphs and pictographs.

Standard 4: Geometry (October)
Identify, name, draw and label lines and line segments, to include intersecting and parallel lines.
Identify, classify and compare 2-dimensional figures (trapezoids, parallelograms, rhombus and other polygons)Name, draw and label angles, triangles, trapezoids, parallelograms, rhombuses, quadrangles and other polygons.
Recognize common attributes of squares and rectangles.

Standard 5: Measurement (October)
Compare objects according to measurable attributes of length and area in US and metric units.

Standard 6: Computation (October)
Solve basic multiplication facts through 12.
Using paper and pencil, demonstrate basic operations of whole numbers including addition and subtraction.
Demonstrate ability to borrow and carry (trade) in multi-digit addition and subtraction problems.

Sample Units

District 11 Diamond Units/Lessons Overview - includes information about the purpose, goals and structure of these sample instructional units:

Parents

You can support your fourth grader’s math understanding in quarter one by expressing an interest in his/her math homework. Providing a quiet place and specific time to do schoolwork at home is an important component of helping your child become an independent learner. Strong study skills will serve your child well as he/she progresses in a lifetime of learning. You can also support your fourth grader’s math understanding by asking questions about his/her math homework. Asking your child to explain what is happening in the math work helps him/her learn to communicate the mathematical process and thinking, which also helps transfer the concept from short term to long term memory.
Reading and Math Strategies for Parents - includes the top 10 strategies in each subject.

 

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

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