Primary Math

 

Description

 

The primary math class is a small group class of no more than six students that has several components of the Montessori method.  We allow for the students to experience abstract concepts through the movement and manipulation of concrete materials. After the students understand these concrete concept components, we then carry these skills into abstract thinking.  We encourage students to validate why they got their answer and to solve problems in a way that makes sense to them.  In the primary mathematical program, we provide reasoning for rule changes.  With the physical materials provided in our classroom, children are able to see the reasoning behind the rule change rather proving why the rule holds to be true.  Students develop mastery of a skill before moving on to the next skill set.  This helps to ease the transition when learning new and more difficult concepts.    

 

Goal

Students will develop an understanding of abstract mathematical components in a concrete way.  

 

Major Activities

 

Montessori works with materials- Students work with physical materials to enhance their skills and understanding of the concept.  By working with materials, students are able to maneuver and manipulate physical objects to develop an understanding of new content.  As the students gain mastery of this concept, they will understand how to do the skill without physical materials.    

 

Paper work- Students work to master a skill by completing paper extensions that directly correlate to the Montessori materials.  Paper work includes worksheets created by the teacher or student inspired paper extensions to help them master skills.  Paper work is individual to the child’s skill and learning preference.

 

DreamBox- Students spend time working on DreamBox, which is an online learning software to supplement skills already learned by the physical Montessori materials.  DreamBox is flexible and allows for the child to answer questions in a way that is individual to their thinking process.  

 

Mad minutes- Once students are working on 1st grade skills, they are given mad minutes once a week.  A mad minute is 30 addition or subtraction problems. The students have one minute to correctly complete as many problems as they can.  Mad minutes help the students to gain automaticity of math facts.

 

 

Topics by level

 

Kindergarten

  • 1:1 correspondence
  • Identification of numbers 1-100
  • Write numbers 1-20
  • Recognition of place value for 1s and 10s
  • Basic understanding greater than, less than, and equal to
  • Fluently add and subtract within 10
  • Find the missing addend that makes a sum of 10
  • Identify odd vs. even

 

1st Grade

  • Add and subtract within 20
  • Understand place value 1s, 10s, 100s
  • Can perform phrase word problems (addition and subtraction)
  • Tell time (hours)

 

2nd Grade

  • Tell time (half hours and quarter hours)
  • Can perform 2 step word problems (addition and subtraction)
  • Identify unknown addend in addition and subtraction problems
  • Understand place value 1s, 10s, 100s, 1000s
  • Understand fractions whole, half, quarter
  • Skip counting by 2, 5, 10
  • Read and write numbers 1-1000
  • Know the value of a dollar, quarter, dime, nickel, penny
  • Introduction to graphing (line plot, picture graph, bar graph)
  • Identify shapes (triangle, quadrilaterals, pentagon, hexagon, cube)

 

Program Objectives

  • Students are fluent in addition and subtraction of single digit numbers
  • Students can perform dynamic four place value addition and subtraction problems
  • Students can read and identify numbers through the thousands
  • Students can perform two step word problems with addition and subtractions
  • Students have a conceptual understanding multiplication

Students can tell time and count money

 

 

Differentiation

Students work on skills according to their individual skill set.  They are allotted as much time as needed to master skills.  Teachers will help scaffold students to the next skill set as interest in that skill arises as long as mastery of the previous skill has been met.

 

 

Assessment

 

Grades are based on achievement of Montessori work goals, DreamBox goals, and paper work completed in class.  Goals are discussed and set by the child and the teacher.

 

Montessori Work Goals- Term goals are set at the beginning of every term. Students discuss with their teacher a skill that they would like to work towards completing.  

 

DreamBox Goals- Students sit down with their teacher at the beginning of every term and discuss the percentage they would like to strive to achieve in the curriculum categories in their skill set level.  

 

Paper Work- Students are graded on every paper extension they complete.  An average grade is recorded at the end of every week.