Welcome to our new unit focusing on ratios, rates, percents and proportions.
Investigation 1: Ways of Comparing: Ratios and Proportions
Investigation 1 focuses on different strategies for comparing quantities—using ratios, fractions, percents. Students learn what different types of comparative statements say about data given. They are asked to write comparative statements using ratios and differences that describe data.
We have completed Investigation 1.1 -1.2 in the new Comparing and Scaling Book. We focused on the ability to make comparisons of quantitative data. We focused on making comparisons through: 1. ratios 2. differences 3. percents 4. simplified ratios Further we stressed the importance of making comparisons between part-to-part or part-to-whole.
Apply coordinate rules to stretch or shrink shapes and then plot them.
Understand ways that stretching or shrinking a figure affects lengths, angle measures, perimeter and area.
Draw shapes on coordinate grids and use coordinate rules to stretch (x, y), shrink and move the shapes.
Determine the way that stretching and shrinking a figure affects lengths, angle measures, perimeters, and areas.
Identify similar polygons and use scale factor and side length ratios to prove similarity between polygons.
Calculate scale factor of two similar shapes and find measures of angles in similar polygons.
Apply relationship of scale factor to perimeter and area.
Use the properties of similarity to find distances and heights that you can’t measure.
Use specific vocabulary appropriately, use the terms we have learned and discussed in class - specific vocabulary is posted in the classrooms as well as on the Math Blog.
Material to Review:
Review and redo problems from the unit Check-ins, Checks for Understanding, warm up problems, in-class practice sheets.
Problems from the text: Problem 2.2 (pages 30 & 31), page 32 the definition of similar (the two bullet points under the bold word), Problem 2.3 (pages 34 & 35), Problem 3.1 (page 52), Problem 41. B (page 83), Problem 4.2 (page 84), Problem 4.4 D (page 89).
Unit Review in your book (pgs. 108-110) specifically #s 2, 3, 4, 5 & 6.