Students have been working hard on their **understanding of ratios**, and this week’s formative assessments indicate that they are ready to move on to **Unit Rates and Percentages**. They exhibit a solid understanding of representing ratios with diagrams and appropriate language, and they are confident in their ability to find equivalent ratios using diagrams, double number lines and tables. I am quite proud of their progress.

# Monthly Archives: November 2019

# Week 10 – More on Ratios

# Representing Equivalent Ratios with Tables

**LEARNING GOALS **

— Comprehend the words** “row”** and **“column”** (in written and spoken language) as they are used to describe a **table of equivalent ratios**.

— Explain (orally and in writing) how to **find a missing value** in a table of equivalent ratios.

–Interpret a table of equivalent ratios that represents different sized batches of a recipe

These are just a few of the calculations that I observed as the students were generating tables of equivalent ratios.

## How Much for One?

**LEARNING GOALS**

— Calculate equivalent ratios between **prices and quantities** and present the solution method (using words and other representations).

— Calculate unit price and express it using the word **“per”** (orally and in writing).

— Understand the phrase **“at this rate” **indicates that equivalent ratios are involved.

This problem is a review of students’ previous work on area and nets.

# Week 9

## Area of Irregular Shapes

*CCSS.MATH.CONTENT.6.G.A.1 Find the area of polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.*

## Using Proportional Reasoning

*This performance assessment task involves a range of mathematical practices from *the standards, with emphasis on:

*MP1:Make sense of problems and persevere in solving them MP2:Reason abstractly and quantitatively MP3:Construct viable arguments and critique the reasoning of others MP4: Model with mathematics MP5:Use appropriate tools strategically MP6:Attend to precision MP7:Look for and make use of structure MP8:Look for and express regularity in repeated reasoning*

# Week 8 Equivalent Ratios

** Creating Double Number Lines to Find Equivalent Ratios **

- Draw and label a double number line diagram from scratch, with parallel lines and equally-spaced tick marks.
- Use double number line diagrams to find a wider range of equivalent ratios.

** Visual Representation of “8 is 32 times what number?” **

- Making sense of multiplication and division
- Solving a problem with a visual representation