Lesson Plans SET A for Grades 5-6-PDF Lesson 4- Level 5-6

PDF Lesson 4- Level 5-6 - Ratio & Proportion- Presentation

Pdf Summary

The document is a Math Kangaroo Level 5-6 instructional material focused on ratios and proportions, featuring a series of exercises from past Math Kangaroo competitions. It introduces the concepts of ratios and proportions and provides methods to solve related problems. Ratios are defined as a relationship between two quantities expressed as a quotient, and can be represented in words, fractional notation, and colon notation. Simplifying ratios and writing them as fractions is emphasized, highlighting the importance of maintaining the correct order of numbers. Proportions, defined as equations stating that two ratios or rates are equal, can be verified or solved using cross multiplication or cross products.<br /><br />Several problem examples from previous competitions are highlighted. One key exercise asks how many times faster the minute hand of a clock moves compared to the hour hand. Other problems involve calculations pertaining to speed, problem-solving rates, animal weight comparisons, rectangle dimensions, earnings distribution, and changes in a rectangle’s area when its side lengths are adjusted by certain percentages.<br /><br />The document wraps up by reiterating the definitions of ratios and proportions, emphasizing the utility of writing and simplifying ratios as fractions, and solving proportions with cross products. It concludes with a suggestion for optional homework using a Math Kangaroo exam from 2016, and presents bonus questions for further challenge, such as determining the effect on a rectangle’s area after altering its side lengths by 10% in opposite directions.

Keywords

Math Kangaroo

ratios

proportions

cross multiplication

fractional notation

simplifying ratios

problem-solving rates

rectangle dimensions

speed calculations

homework exercises