Grade 6 - Claim 1 - Target A
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Target A
Understand ratio concepts and use ratio reasoning to solve problems
Sample Item
Grade 6Test
Claim 1
Concepts and Procedures
Standards
RP-1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo...
RP-2
Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. For example, "This recipe has...
RP-3
Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations.
RP-3a
Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.
RP-3b
Solve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed...
RP-3c
Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the...
RP-3d
Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.
Clarifications
Tasks for this target will require students to make sense of problems that use ratio and rate language and to find unit rates associated with given ratios. Students will be asked to display equivalent...
Range Achievement Level Descriptors
Evidence Required
1
The student uses ratio language to describe a ratio relationship.
2
The student determines the unit rate associated with a real-world ratio.
3
The student finds missing values in tables of equivalent ratios.
4
The student plots coordinate pairs to represent equivalent ratios.
5
The student makes tables of equivalent ratios relating quantities with whole-number measurements.
6
The student solves real-world problems involving unit rate.
7
The student solves mathematical problems involving finding the whole, given a part and the percent.
8
The student solves real-world and mathematical problems involving finding a percent of a quantity as a rate per 100.
9
[Retired Evidence Required statement]
10
The student uses ratio reasoning to manipulate and transform units appropriately when multiplying or dividing quantities.
Item Guidelines
Depth of Knowledge
M-DOK1
Recall includes the recall of information such as fact, definition, term, or a simple procedure, as well as performing a simple algorithm or applying a formula. That is, in mathematics a one-step, well-defined, and straight algorithmic procedure should be...
M-DOK2
Skill/Concept includes the engagement of some mental processing beyond a habitual response. A Level 2 assessment item requires students to make some decisions as to how to approach the problem or activity, whereas Level 1 requires students to demonstrate a...
Allowable Item Types
- Multi-Select, multiple correct response
- Equation/Numeric
- Fill-In Table
- Graphing
Allowable Stimulus Materials
coordinate planes, tables, tape diagrams
Key/Construct Relevant Vocabulary
ratio, unit rate, unit price, ordered pair
Allowable Tools
Calculator (varies by task model)
Target-Specific Attributes
Unit rates are limited to non-complex fractions.
Accessibility
Item writers should consider the following Language and Visual Element/Design guidelines [1] when developing items. Language Key Considerations: Use simple, clear, and easy-to-understand language needed to assess the construct or aid in the understanding of the...
Development Notes
Real-world problems involving rates, ratios, percentages (finding the whole, given a part and the percent), and measurement conversions that use ratio reasoning will also be assessed in Claim 2, Claim 3, and Claim 4,...
Task Models
Task Model 1
Item Types
Multi-Select, multiple correct responseDepth of Knowledge
M-DOK1Standards
RP-1
Target Evidence Statement
The student uses ratio language to describe a ratio relationship.
Allowable Tools
None
Task Description
Prompt Features: The student is prompted to identify statements that use ratio language to describe a ratio relationship.
Stimulus Guidelines: Context should be familiar to students 11 to 13 years old.
Stimulus
The student is presented with a ratio relationship between two whole-number quantities.
Example 1
Example Stem: A game has green and blue pieces. The ratio of green game pieces to total pieces is 5:12.
Select all the statements about the game pieces that are correct.
A. The ratio of green pieces to blue pieces is 7:5.
B. The ratio of total pieces to blue pieces is 12:7.
C. There must be 7 more blue pieces than green pieces.
D. The ratio of total pieces to green pieces is 12:5.
Answer Choices: Answer choices will be four statements describing the ratio relationship. At least two statements must be correct.
Rubric: (1 point) Student selects all the correct statements (e.g., B and D).
Example 2
Example Stem 2: A punch recipe calls for 3 cups of orange juice for every 2 cups of cranberry juice.
Select all of the statements about the recipe that are correct.
A. There are 3 cups of orange juice for every 5 cups of punch.
B. The ratio of cranberry juice to orange juice is 2 to 3.
C. The ratio of orange juice to cranberry juice is 2:1.
D. The ratio of cranberry juice to punch is 2:5.
Answer Choices: Answer choices will be four statements describing the ratio relationship. At least two statements must be correct.
Rubric: (1 point) Student selects all the correct statements (e.g., A, B and D).