Fifth Grade Mathematics

By the Fifth Grade Math Team
 

Fifth grade mathematics has turned to fractions, geometry, and, as always, problem solving.

In our study of fractions, children are learning the Greatest Common Factor, (GCF),

and the Least Common Multiple, (LCM), and how not to confuse the two! Finding factors and multiples of numbers requires good number sense and a command of basic facts. This is the last, great push for children to memorize the facts and be accurate in calculations that involve, for example, simplifying fractions.

By the end of our unit of study in fractions children will be able to add and subtract fractions of like and unlike denominators, subtract mixed numbers with renaming, and simplify the answer. We will also give the students a firm conceptual and procedural base in multiplying and dividing fractions.

Our explorations in geometry and measurement include classifying regular polygons, angles and protractor skills and more.

Problem solving is integrated with the concepts we are teaching in geometry and fractions. Children are taught the steps to problem solving (word problems):

  1. Understand

  2. Plan

  3. Solve

  4. Look back

Along with these steps - that are used in all problem-solving scenarios - come strategies. There are algebraic strategies: making an equation, working backward (inverse operations), solving a simpler problem, and guess and check. Other strategies include making a chart or diagram, using logical thinking and finding patterns (which also involves algebra when you think about it!)

We’re all very proud of the work the children put into learning these concepts and skills, getting extra help when needed, and taking on challenges that are provided. To the extent that children put in effort at school and at home they are successful in math in fifth grade and prepared for math after fifth grade.