Representing Ratios with Diagrams

• I can draw a diagram that represents a ratio and explain what the diagram means.
• I know how to say words and numbers in the correct order to accurately describe the ratio.

Mixtures

• I can explain what it means for two ratios to be equivalent using a recipe as an example.
• I can use a diagram to represent a recipe and to represent a double batch and a triple batch of the recipe.
• I know what it means to double or triple a recipe.

Defining Equivalent Ratios

• If I have a ratio, I can create a new ratio that is equivalent to it.
• If I have two ratios, I can decide whether they are equivalent to each other.

Introducing Double Number Line Diagrams

• I can label a double number line diagram to represent batches of a recipe or color mixture.
• When I have a double number line that represents a situation, I can explain what it means.

Creating Double Number Line Diagrams

• I can create a double number line diagram and correctly place and label tick marks to represent equivalent ratios.
• I can explain what the word "per" means.

How Much for One?

• I can choose and create diagrams to help me reason about prices.
• I can explain what the phrase “at this rate” means, using prices as an example.
• If I know the price of multiple things, I can find the price per thing.

Constant Speed

Part-Part-Whole Ratios

• I can create tape diagrams to help me reason about problems that involve both a ratio and a total amount.
• I can solve problems when I know a ratio and a total amount.

Solving More Ratio Problems

• I can choose and create diagrams to help think through my solution.
• I can solve all kinds of problems about equivalent ratios.
• I can use diagrams to help someone else understand why my solution makes sense.

Anchoring Units of Measurement

• I can name common objects that are about as long as 1 inch, foot, yard, mile, millimeter, centimeter, meter, or kilometer.
• I can name common objects that weigh about 1 ounce, pound, ton, gram, or kilogram, or that hold about 1 cup, quart, gallon, milliliter, or liter.
• When I read or hear a unit of measurement, I know whether it is used to measure length, weight, or volume.

Measuring with Different-Size Units

• When I know a measurement in one unit, I can decide whether it takes more or less of a different unit to measure the same quantity.

Converting Units

• I can convert measurements from one unit to another, using double number lines, tables, or by thinking about “how much for 1.”
• I know that when we measure things in two different units, the pairs of measurements are equivalent ratios.