 Math

2nd Trimester: Fun with Fractions!

Our unit on fractions is well underway! In Topic 10, students learned to convert improper fractions to mixed numbers, find equivalent fractions, simplify fractions, compare and order fractions, convert fractions to decimals, and locate fractions and decimals on a number line. In Topics 11 and 12, students will continue their study of fractions by adding, subtracting, multiplying and dividing fractions with like and unlike denominators. They will also understand the relationship between fractions, decimals and percents.

In order to solve fraction equations, students learned how to find the Greatest Common Factor (used to simplify and compare fractions) and Least Common Multiple (used to add, subtract and divide). We have learned two ways to do this. With "The Fish" method, students find common denominators by first making factor trees to find the prime factors of a number and then comparing these factors with a Venn diagram. With "The Cake" method, students list the common factors of two or more numbers and continue to add tiers to their cakes until they reach the prime factors. A written explanation of these methods is attached.

3rd Trimester: Geometry Mania!

During the last part of the year, students dive into geometry with a comprehensive study of lines, rays and angles. Students use a variety of manipulatives to develop their understanding of these concepts, learn to use a protractors, and even identify the types of angles in their names! Students continue their study of geometry with a unit on plane figures in which they recognize several shapes, classify polygons from non-polygons, and find perimeter and area. As a culminating activity, students are challenged to become geometric artists and create a picture using all of the figures and geometric terms studied. Finally, students participate in a hands-on unit on solids that allows them to find volume and manipulate 3-D objects to determine what they look like from different points of view. By taking apart solids and making a net, students decide what plane shapes make up each solid, thereby applying their knowledge of 2-D figures to 3-D objects.