# Mathematics

Mathematics

Instruction in mathematics helps students develop an aptitude for research and reasoning. Research opportunities encourage students to experiment with problem-solving strategies and provide them with new ideas and skills.

###### NUMERATION
• Knowledge of numbers up to 1,000
• Understanding of place value (ones, tens, hundreds)
• Understanding of numbers in their numeric and written form (3 and three)
• Understanding of relationships between numbers such as doubles and halves
• Develop mental arithmetic procedures: addition, subtraction, multiplication, and division
• Master the technique of addition and subtraction with and without carrying
• Learn and practice mental calculation techniques.
• Learn to develop different strategies to solve problems.
###### GEOMETRY AND MEASUREMENT
• Recognize, describe, and reproduce simple solids and geometrical shapes including squares, rectangles, triangles, and other polygons
• Use the calendar and calculate duration of time
• Use common units of the metric system

Problem-solving is essential to the mastery of mathematics. The ability to search, think in abstract ways, and prove allows students to establish connections between previously acquired and new concepts.

###### PROBLEM-SOLVING
• Adopt an appropriate strategy to solve a problem
• Implement the strategy logically
• Communicate the strategy
• Discuss the validity of the solution
###### NUMERATION
• Order whole numbers
• Establish arithmetical relationships between numbers
• Operate techniques for subtraction, multiplication, and Euclidian division
• Write a decimal number and its fractional equivalent and vice versa
• Solve problems involving addition and subtraction, multiplication and division of a decimal by an integer, and a decimal division of two integers
###### GEOMETRY AND MEASUREMENT
• Reproduce, describe (using the appropriate vocabulary), represent, and construct common geometrical objects
• Perform actions on plane figures: perfecting reproduction, construction, and transformation techniques (axial symmetry, enlargement, reduction)
• Measure different quantities: length, mass, duration, area, and volume (using the metric and the U.S. customary system)
###### PROBABILITY AND STATISTICS
• Make predictions using experimental probability
• Collect and analyze data