General Information
Diagnostic Information
Section 1: Number Sense & Counting
Objective: Assess understanding of numerical concepts and basic counting skills.
Task 1.1: Counting Forward & Backward
Instructions: Ask the student to count forward from 1 to 20 and then count backward from 20 to 1.
Counting Forward from 1 to 20
Counting Backward from 20 to 1
Task 1.2: Number Identification
Instructions: Ask the student to identify and name numbers up to 100.
Number Identification (Up to 100)
Identifying Odd and Even Numbers
Example: "Is 37 odd or even?"
Task 1.3: Place Value Understanding
Instructions: Ask the student to identify the place value of digits in a given number. Example: "What is the place value of 4 in 435?"
Section 1 Score Summary
Counting Forward & Backward: - / 3
Number Identification: - / 3
Place Value Understanding: - / 3
Total Section 1 Score: - / 9
Section 2: Arithmetic & Problem-Solving
Objective: Assess the ability to perform basic and advanced mathematical operations.
Task 2.1: Addition & Subtraction
Instructions: Ask the student to solve addition and subtraction problems.
Problem 1: 7 + 5 = _____
Problem 2: 15 - 8 = _____
Task 2.2: Multiplication & Division
Instructions: Ask the student to solve multiplication and division problems.
Problem 1: 3 × 4 = _____
Problem 2: 12 ÷ 3 = _____
Task 2.3: Order of Operations
Instructions: Ask the student to solve a problem involving the order of operations.
Problem: (3 + 2) × 4 = _____
Task 2.4: Word Problem Solving
Instructions: Present a word problem and ask the student to solve it.
Problem: "Tom has 5 apples. He buys 7 more apples. How many apples does Tom have now?"
Task 2.5: Advanced Problem Solving
Instructions: Ask the student to solve more advanced operations such as multi-step problems.
Problem: "Solve: (2 × 3) + (4 × 5) = _____"
Section 2 Score Summary
Addition/Subtraction: - / 2
Multiplication/Division: - / 2
Order of Operations: - / 2
Word Problem: - / 2
Advanced Problem: - / 2
Total Section 2 Score: - / 10
Section 3: Math Reasoning & Word Problems
Objective: Assess the ability to apply math concepts to real-life scenarios through word problems and logical reasoning.
Task 3.1: Basic Word Problems
Instructions: Ask the student to solve a simple word problem.
Problem: "John has 5 apples. He buys 3 more. How many apples does he have now?"
Task 3.2: Multi-Step Word Problems
Instructions: Present the student with a multi-step word problem requiring more than one mathematical operation.
Problem: "Sarah has 4 boxes of pencils. Each box contains 6 pencils. How many pencils does she have in total?"
Task 3.3: Logical Math Reasoning
Instructions: Present the student with a logical math problem that involves reasoning or time-based thinking.
Problem: "If a clock shows 3:15 PM, what time will it be in 2 hours and 30 minutes?"
Task 3.4: Real-Life Application Word Problems
Instructions: Ask the student to solve a real-life application problem that involves practical reasoning and the use of math.
Problem: "Tom is buying 3 books. Each book costs $7. How much will he pay in total?"
Task 3.5: Time-Based Problem Solving
Instructions: Ask the student to solve a problem based on elapsed time or future times.
Problem: "If you leave your house at 2:00 PM and travel for 1 hour and 45 minutes, what time will you arrive?"
Section 3 Score Summary
Basic Word Problems: - / 2
Multi-Step Problems: - / 2
Logical Reasoning: - / 2
Real-Life Application: - / 2
Time-Based Problems: - / 2
Total Section 3 Score: - / 10
Section 4: Memory & Processing Speed
Objective: Evaluate how quickly and accurately a student processes math problems, with a focus on mental math skills, pattern recognition, and estimation.
Task 4.1: Timed Mental Math (30 seconds per problem)
Instructions: The student will be asked to solve two math problems mentally within 30 seconds per problem.
Example 1: "Solve: 9 + 6 = _____"
Example 2: "Solve: 18 ÷ 2 = _____"
Task 4.2: Pattern Recognition
Instructions: The student will be presented with a numerical pattern and asked to identify what comes next in the sequence.
Problem: "What comes next in the sequence? 2, 4, 6, __, __"
Task 4.3: Estimation Skills
Instructions: Ask the student to estimate the sum of two numbers without doing the exact calculation.
Problem: "Estimate the sum of 48 + 52 without calculating exactly."
Section 4 Score Summary
Timed Mental Math: - / 2
Pattern Recognition: - / 2
Estimation Skills: - / 2
Total Section 4 Score: - / 6
Overall Assessment Summary
Section 1: Number Sense
-
out of 9
Section 2: Arithmetic
-
out of 10
Section 3: Reasoning
-
out of 10
Section 4: Processing
-
out of 6
Total Score
-
out of 35