Ratios, Integers, Equations & Data

Objectives

• D05.S1.06.01 Use ratios and rates to describe and compare real situations such as fair shares, recipes, and unit prices.
• D05.S1.06.02 Use positive and negative numbers to represent real situations such as temperature and elevation, and locate and order them on a number line.
• D05.S2.06.01 Use variables to write expressions and equations that represent real situations, and solve one-step equations.
• D05.S2.06.02 Represent the relationship between two quantities with a table and graph, and tell when one quantity depends on the other.
• D05.S3.06.01 Find area, surface area, and volume of common figures and use nets to build and analyze three-dimensional shapes.
• D05.S3.06.02 Draw and use polygons on the coordinate plane to solve real problems involving position and length.
• D05.S4.06.01 Recognize and describe statistical variability, including the center, spread, and shape of a data set.
• D05.S4.06.02 Summarize a data set with mean, median, mode, and range, and choose the measure that best answers a question.

Essential questions

• How do ratios, rates, and positive and negative numbers describe real situations?
• How do equations, the coordinate plane, and data summaries help me reason and decide?

Big ideas

• Ratios and rates compare real quantities, and positive and negative numbers represent situations such as temperature and elevation.
• Variables, one-step equations, tables and graphs, three-dimensional shapes on the coordinate plane, and measures of center and spread are tools for reasoning honestly about quantity.

Lessons

1. 1 Ratios in Fair Shares 50 minutes
2. 2 Rates: Recipes and Unit Prices 50 minutes
3. 3 Positive and Negative Numbers in Real Life 50 minutes
4. 4 Locating and Ordering Integers on a Number Line 50 minutes
5. 5 Variables and Expressions for Real Situations 50 minutes
6. 6 Writing and Solving One-Step Equations 50 minutes
7. 7 Tables and Graphs of Two Quantities 50 minutes
8. 8 Which Quantity Depends on the Other 50 minutes
9. 9 Area and Volume of Common Figures 50 minutes
10. 10 Surface Area and Nets of 3-D Shapes 50 minutes
11. 11 Polygons on the Coordinate Plane: Position 50 minutes
12. 12 Polygons on the Coordinate Plane: Length 50 minutes
13. 13 Statistical Variability: Center, Spread, and Shape 50 minutes
14. 14 Mean, Median, Mode, and Range: Choosing the Best Measure 55 minutes

Assessment plan

One-on-one ratio, integer, and equation check-ins with real objects, and coordinate-plane and data tasks observed; a ratio-and-rate problem set, a one-step equation task, and a center-and-spread data summary as portfolio artifacts.