Fourth Grade Honors Mathematics Curriculum

Trimester 1

AREAS OF FOCUS

 

Number and Operation

 Problem Solving

Structure and patterns in the base ten number system

Multiples

Factors

Divisibility Rules

Prime and Composite numbers

 

RESOURCES

 

Math Trailblazers 4

Math Trailblazers  5

Math Trailblazers Adventure Books

Prime Time Factors and Multiples

The Problem Solver 5

 

MATERIALS

Place value chart

Calculator

Grid paper

Paper clips

Color tiles

Game boards

Base ten blocks

Newspapers

 

 

CONCEPTS AND CONTENT
IN THE FOURTH GRADE HONORS CLASSROOM 

Students will use the four phases of problem solving (understand, plan, carry out and look back).

Students will be able to represent a problem and its solution by making a table, chart or graph.

Students will understand numbers from 1 to 1,000,000,000:

o        Read and write in numeral and word form

o        Understand the place value of each digit

o        Compare and order multiple numbers

o        Recognize that the numbers we use are part of a place value system.

Students will round numbers to a given place value.

Students will demonstrate an understanding of multiple and factors through 12.

Students will use the divisibility rules of 2, 3, 4, 5, 6, 9, and 10.

Students will classify numbers as prime or composite according to their factors.

 

HELP AT HOME
Parents can help their children

  • Work with your child in his/her acquisition of multiplication and division facts.

  • Encourage your child to find and read large numbers (newspapers, magazines, almanacs, billboards).

  • Have your child order the populations of different states or countries in ascending or descending order.  A source for U. S. data is www.census.gov

  • Have your child draw multiple cards from a dick of cards numbered 0 to 9.  Challenge them to create various numbers: largest, smallest, and closest to a target number.

  • Using the divisibility rules, ask your child to give you a number that uses one or more of the rules they have studied.  Have your child make number riddles with clues that use divisibility rules.

  • Give your child two or thee numbers.  Have them list the multiples and factors for each number, looking for patterns and commonalities.

  • Have your child create a product game similar to those used in class.  Play the game when it is complete.

 

 

Fourth Grade Honors Mathematics Curriculum
Trimester 2

 AREAS OF FOCUS

Number and Operation

Multiples and factors

Multiplication and division

 

Geometry

Angles (one and two dimensional geometry)

Characteristics and properties of lines

Attributes of polygons

Quadrilaterals (perimeter and area)

 

 

RESOURCES

 

Math Trail Blazers – Multiplication, Division, Geometry

The Problem Solver 5 – Problem Solving

Maneuvers with Angles ­– Angle Study

Maneuvers with Rectangles – Quadrilateral Study

 

MATERIALS

Base ten blocks

Graph paper

Compass and protractor

Three dimensional solid figures

Calculators

Tangrams

 

 

CONCEPTS AND CONTENT
IN THE FOURTH GRADE HONORS CLASSROOM 

Students will investigate the relationships between multiples and facts and apply this knowledge to explore multiplication and division.  Students will demonstrate an understanding of multi-digit multiplication and division.  Estimation will be used in both operations to determine the reasonableness of results.

Students will explore geometric problems using a variety of resources and methods.  They will investigate characteristics of polygons and lines.  Students will become familiar with protractors and compasses to solve geometric problems.

Students will explore a variety of real life problems to develop flexibility of thinking.  They will use reflection to explain, demonstrate, and justify their mathematical reasoning.

 

HELP AT HOME
Parents can help their children

Work with your child and their acquisition of multiplication and division facts.

Encourage your child to be aware of geometric shapes in their environment.  Look for patterns or design made from different shapes.

Discuss real life activities that involve 3-D geometry” architecture, fashion design, etc.

Play with building materials such as Legos, blocks, etc. with your child.

Encourage your child to play games that involve thinking and strategy such as Triple Yahtzee, Battleship, and “24.”

Work with money to reinforce multiplication and division patterns as well as estimation skills.

Highlight experiences for your child which involve real life problem solving situations  in your family.

 

Fourth Grade Honors Mathematics Curriculum

Trimester 3

AREAS OF FOCUS

Geometry

  • Transformations
  • Tessellations
  • Symmetry
  • Congruency
  • Coordinate Geometry
  • Spatial Visualization
  • Perimeter
  • Area
  • Surface Area
  • Volume

 

RESOURCES

 

Math Trail Blazers

Middle Grade Mathematics Project Spatial Visualization

Middle Grade Mathematics Project Mouse and Elephant: Measuring Growth

 

MATERIALS

Cubes

Calculator

Graph paper and various grids

Dot paper

Rulers and Metersticks

Color Tiles

Pattern Blocks

Protractors

Base Ten Blocks

 

CONCEPTS AND CONTENT
IN THE FOURTH GRADE HONORS CLASSROOM

 

Students will be able to demonstrate an understanding of spatial sense.

Students will be able to navigate and plot points on a coordinate grid to find landmarks and measurements.

Students will be able to use concrete materials and computer based technology to solve geometric patterns.

Students will be able to visualize, sketch, and construct three-dimensional shapes and two-dimensional views.

Students will be able to draw a figure with a given number of lines of symmetry.

Students will be able to visualize and draw an object with a given set of attributes.

Students will be able to describe a motion or a series of motions using the transformation vocabulary.

 

HELP AT HOME
Parents can help their children


           Work with your child and their acquisition of multiplication and division facts.

  Construction sets are a wonderful way for children to learn geometry. If your child has a construction et, cutes, or other building materials, encourage him/her to build models.  Ask your child to describe what her/she has built.

When traveling, ask your child to locate destinations using coordinates found on the edges of a map

Play with puzzles that encourage visual spatial thinking such as Snafooz, Cubra, Rhombo or jigsaw puzzles

Sketch 3-D objects on graph paper or dot paper.  Use boxes to analyze three-dimensional objects and learn about volume.  By cutting boxes into rectangles, children learn how two-dimensional figures come together to make three-dimensional objects.

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Elmwood Elementary School
Updated January 30, 2004

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