Wednesday, September 6, 2023

Using AI to Analyze Standardized Math Test Questions

Building 4th Grade Math Vocabulary. Tier 2 and 3 Math Terms | DOK Pearson Assessments Questions

Test of AI capabilities: This scan of two tests examines the potential of using artificial intelligence to automatically scan and analyze end-of-grade mathematics test questions. The goal was to identify key tier 2 and 3 math vocabulary and classify question types to gain insights into test design, content coverage, and cognitive demand.

Based on scanning the Arizona Math Standards 4th Grade math standards document, here are some academic math terms that appear:


Tier 2 and 3 Terms Arizona Standards:

- Multiplicative comparison

- Distributive property

- Quotients  

- Dividends

- Equivalent fractions

- Benchmark fraction

- Unit fraction

- Mixed numbers

- Measurement scale

- Line plot

- Perpendicular 

- Parallel

- Right triangle

- Line of symmetry

- Numerator

- Denominator 

- Decimal notation

- Hundredths

- Protractor

- Degree angle

- Acute angle

- Obtuse angle

- Line segment

- Array

STAAR MATH TERMS 4th Grade:

The STAAR Math test is considered one of the more challenging EOG test.

Tier 2 and 3 Terms:

- Frequency

- Equivalent

- Dimension

- Relationship

- Pattern

- Protractor

- Numerator

- Denominator

- Quotient

- Dividend

- Divisor

- Decimal

- Place value

- Hundredths

- Tenths  

- Expanded form

- Standard form

- Percent 

- Degree

- Parallel

- Perpendicular 

- Vertex

- Perimeter

- Area

- Volume

- Capacity

There is a broad range of mathematical vocabulary on this test spanning different strands like numbers, operations, geometry, measurement, data analysis. Focusing instruction on the key tier 2 and tier 3 terms will help build students' understanding of 4th-grade math standards and the ability to demonstrate their skills on assessments. 

The tier 2 terms are more common academic vocabulary words that students should learn to use in describing mathematical concepts. The tier 3 terms are more subject-specific terms related to math concepts and operations. The document covers a wide range of math topics and standards, so focusing instruction on the key tier 2 and tier 3 terms can help build students' mathematical vocabulary. Let me know if you need any clarification or have additional questions!

DOK Level 1:

- What symbol represents an unknown number in an equation? 

- What is a fraction with a denominator of 100 called?

- How many right angles are in a square?

- What unit is used to measure angles? 

- Name a unit that can measure liquid volume. 

- What is perimeter? 

- What is multiplication of whole numbers called? 

- What is the place value of the underlined digit in 4,158? 

- How do you read and write the number 7,342 in word form? 

- Round 378 to the nearest hundred.

DOK Level 2:  

- Show how to use an area model to solve 26 x 12. 

- Make a line plot for this data: 1/4, 1/2, 1/4, 1/8, 1/2. 

- Draw a perpendicular line. 

- Compare 1/3 and 3/4 using >, < or =. 

- Convert 45 inches to feet. 

- Round 4,926 to the nearest thousand. 

- Plot 0.6 on a number line from 0 to 1. 

- Find all the factors of 24. 

- Use a protractor to measure and draw a 55-degree angle. 

- Solve: 36 inches = ___ feet. 

DOK Level 3:

- Explain how to find a common denominator for 1/3 and 1/6. 

- You have 3 1/4 yards of fabric. Explain how to calculate if you have enough fabric to make 5 pillows if each pillow takes 1/2 yard of fabric. 

- The legs of a right triangle are 7 cm and 10 cm. Explain how to find the perimeter. 

- Explain how to use the distributive property to solve the problem 35 x 52. 

- You bicycled 9 miles. Explain how you can calculate approximately how many minutes it took if you traveled at a rate of 3 miles every 12 minutes. 

- Describe how to use an area model to solve the problem 47 x 25. 

- Explain how to compare the fractions 2/9 and 3/10. (4.NF.A.2b) 

- Explain how to use a protractor to measure an obtuse angle. 

- Describe how to solve the problem: You bought 3 notebooks for $4.50 each and a marker set for $11.20. How much did you spend total? 

- Explain how to round 7,392 to the nearest hundred. 

DOK Level 4: 

- Create a word problem involving multiplying a 2-digit and 3-digit number. Explain how to represent and solve it. 

- Design a line plot to represent this data: 1/8, 1/4, 1/2, 3/4, 1/8. Then write a story that fits the data. 

- You added 1 1/4 cups of milk to 2/3 cup of milk. Create a visual model showing this addition and explain the solution.   

- Create a step-by-step guide for how to use a protractor to measure and sketch angles. Include examples. 

- You have 3 pizzas cut into eighths. Describe the steps to determine if you will have enough pizza slices for 12 people if each person gets 2 slices. 

- Explain how arrays and repeated addition can be used as models to multiply whole numbers. Give examples. 

- Create a story context for this equation: n x 1/8 = 3/4 

- Design a conversion table for feet and yards. Explain how it can be used. 

- Describe how to determine if a shape with perpendicular lines, 2 right angles, and no parallel lines is a rectangle. 

- Create a word problem involving adding and subtracting fractions with like denominators. Show the steps to solve it.  

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