Relationships and Change - Week 47 - Lesson 1 - Introduction to Ratios
Objective (Teaching Point): Introduction to ratios Equivalent Ratios Lesson: Discuss with the students why we use ratios in real life. To begin, students must have a basic understanding of ratios. The lesson allows students to interact and to create visuals which match ratios, see the three formats for writing a ratio, and an introduction to equivalent ratios and unit rate. See the PDF files below. Equivalent ratios: Find equivalent ratios: 2 : 7 10 : 4 4 : 14 1 : 3 20 : 8 10 : 30 1 : 3,5 4 : 12 7 : 2 Simplifying Ratios: The process of finding the simplest form of a ratio is the same as the process of finding the simplest form of a fraction. Example 5 : 10 5 can be divided into both numbers (numerator & denominator) 1:2 This is the simplified ratio in the prefered format. Simplify the following ratios: 4 : 8 5 : 20 9 : 45 25 : 40 8 : 36 6 : 21 11 : 44 Equivalent ratios: Complete the following ratios: 1 : 3 = 4 : x 1 : 5 = 5 : x 1 : 4 = x : 20 2 : 5 = 8 : x 5 : 4 = x : 24 4 : 6 = 6 : x ( Can you suggest another way of dealing with this ratio?) Support: To support students remind them how to simplify fractions and find equivalent fractions. Extension: