Grade 2 Mathematics Reviewer Sheet

Key Concepts & Quick Reference Guide

Grade 2 Math

Page 1 of 5

Student:

Date:

Section: Grade 2

📘 Study Guide Review these core mathematical concepts, strategies, and rules before taking the diagnostic assessment on the following pages!

🔢 1. Place Value & Value (up to 1,000)

• Place Value: Position of a digit (Hundreds, Tens, Ones).
• Value: Numerical worth based on position.
Example: In 584:
- Digit 5 is in Hundreds place → Value = 500
- Digit 8 is in Tens place → Value = 800... wait, 80
- Digit 4 is in Ones place → Value = 4

Expanded Form: 584 = 500 + 80 + 4

➕ 2. Addition & Regrouping (Carrying)

• Always start adding from the Ones column first.
• If the sum in a column is 10 or more, carry over 1 to the next column on the left.
Example: 47 + 38
- Ones: 7 + 8 = 15 (Write 5, carry 1 ten)
- Tens: 1 + 4 + 3 = 8 tens → Sum = 85

Check: Always add carried digits first!

➖ 3. Subtraction & Regrouping (Borrowing)

• "More on the floor? Go next door!"
If the top digit is smaller than the bottom digit, borrow 1 ten from the column to the left.
Example: 62 - 27
- Ones: 2 < 7 (Borrow 1 ten from 6 tens. 6 becomes 5; 2 becomes 12).
- 12 - 7 = 5 ones; 5 - 2 = 3 tens → Diff = 35.

✖️ 4. Multiplication & Equal Groups

• Multiplication is Repeated Addition:
3 groups of 4 stars = 4 + 4 + 4 = 12 stars.
• Written as multiplication: 3 × 4 = 12.
• Arrays: 3 rows of 5 dots = 3 × 5 = 15 dots.

💡 5. Philippine Currency, Time & CUBES Problem Solving

• Philippine Money: ₱100 + ₱50 = ₱150; ₱1.00 = 100 centavos.
• Fractions: 1/2 (Half - 1 of 2 equal parts), 1/4 (Quarter - 1 of 4 equal parts).
• Clock Time: Short hand = Hour; Long hand = Minute (Count minutes by 5s).

• CUBES Problem-Solving Strategy:
- Circle key numbers.
- Underline the question.
- Box math clue words (in all, remaining, left, total).
- Evaluate & solve step-by-step.

Mathematics Diagnostic Screener

Part 1: Number Sense, Place Value & Addition Mastery

Grade 2

Page 2 of 5

Student:

Date:

Level: Grade 2

DOMAIN 1: NUMBER SENSE, PLACE VALUE & COMPARISON 4 Items

Directions Read each item carefully. Write your answers clearly on the lines or in the boxes provided.

1 Place Value Breakdown

Break down the number 584 into hundreds, tens, and ones:

584 = Hundreds + Tens + Ones

2 Comparing Numbers

Compare using >, <, or =:

a) 642 624 b) 709 790

3 Value vs. Place Value

Look at the underlined digit in 873:

• What is its Place Value?
• What is its Value?

4 Skip Counting & Patterns

Find the rule and fill in the missing numbers:

320, 330, 340, , , 370

DOMAIN 2: ADDITION MASTERY (WITH & WITHOUT REGROUPING) 4 Items

Solve Align digits by place value. Remember to carry over to the next column when regrouping.

5 Basic Sum

+ 34

6 Tens

+ 38

7 Carry

365

+ 278

8 Mental Math

Find the missing number to make 100:

65 + = 100

Mathematics Diagnostic Screener

Part 2: Subtraction Regrouping & Multiplication Foundations

Grade 2

Page 3 of 5

Student:

Date:

Evaluator:

DOMAIN 3: SUBTRACTION FLUENCY & REGROUPING (BORROWING) 4 Items

Directions Subtract vertically. When the top digit is smaller than the bottom digit, borrow from the tens or hundreds.

9 Basic Facts

- 35

10 Borrow

- 27

11 3-Digit

543

- 186

12 Inverse Check

Check subtraction using addition:

If 90 - 36 = 54,
then: 54 + =

DOMAIN 4: FOUNDATIONS OF MULTIPLICATION & DIVISION 4 Items

Think Multiplication is repeated addition of equal groups. Division is sharing equally into groups.

13 Repeated Addition

Write the multiplication sentence for this addition:

4 + 4 + 4 + 4 + 4 = 20

Equation: × =

14 Array Model

Look at the dots array:

3 rows of 5 dots
Equation: × =

15 Equal Sharing (Division)

Ate Sarah has 15 candies. She shares them equally among 3 children.

How many candies does each child get?
15 ÷ 3 = candies

16 Multiplication Facts

Write the products:

a) 2 × 8 =

b) 5 × 7 =

c) 10 × 4 =

d) 3 × 6 =

Mathematics Diagnostic Screener

Part 3: Fractions, Philippine Money, Time & Word Problems

Grade 2

Page 4 of 5

Student:

Date:

School:

DOMAIN 5: FRACTIONS, PHILIPPINE MONEY & MEASUREMENT (TIME) 4 Items

Directions Identify the fractions, calculate the peso amounts, and read the clock times below.

17 Unit Fractions (1/2, 1/4)

What fraction of each bar is shaded?

18 Philippine Currency

Count the total money:

• 1 × ₱100 bill | • 2 × ₱20 bills | • 3 × ₱5 coins

Total: ₱

19 Calculating Change

Mateo bought a notebook for ₱35 and paid with a ₱50 bill.

Change: ₱50 - ₱35 = ₱

20 Telling Time

Read the clock description:

a) Short hand at 4 & 5; long at 6 →
b) Short hand at 9; long at 12 →

DOMAIN 6: MULTI-STEP PROBLEM SOLVING & REASONING DepEd Capstone Item

21 2-Step Routine Word Problem (Philippine Context)

Kuya Ben picked 45 ripe mangoes in the morning and 38 ripe mangoes in the afternoon from their orchard in Antipolo. He gave 26 mangoes to Lola Remedios. How many mangoes does Kuya Ben have left?

Step 1: What is asked?

The number of mangoes

Step 2: Operations

(Circle): Addition & Subtraction / Mult. & Div.

Step 3: Number Sentence

(45 + 38) - 26 =

Step 4: Complete Answer

Final: ripe mangoes left

Diagnostic Evaluation & Teacher Guide

DepEd MATATAG Competency Map, Weakness Identifier & Rubric

Grade 2

Page 5 of 5

Student:

Total Score: / 25

Diagnostic Level:

Date:

Domain & Items	MATATAG Competency	Strength Indicator (Correct)	Weakness Indicator & Focus Area
Domain 1: Number Sense (1–4)	Recognizes, compares & orders numbers up to 1,000.	Solid 3-digit number sense and base-10 understanding.	Weakness: Confuses face vs. place value. Focus: Base-10 blocks & place-value chart drills.
Domain 2: Addition Mastery (5–8)	Adds 2- to 3-digit numbers with/without regrouping; mental sums.	Accurate column alignment; remembers to add carried ten.	Weakness: Forgets to carry over to tens. Focus: Regrouping box cues & tens-bundle models.
Domain 3: Subtraction Fluency (9–12)	Subtracts 2- to 3-digit numbers with borrowing; inverse checks.	Proper borrowing mechanics; verifies using addition.	Weakness: Subtracts smaller top from bottom. Focus: "More on the floor" rule & manipulatives.
Domain 4: Mult. & Division (13–16)	Represents repeated addition & arrays; equal sharing.	Ready for Grade 3 multiplication & fair shares.	Weakness: Treats arrays as random counting. Focus: Visual arrays coloring & skip-counting.
Domain 5: Money, Time, Fractions (17–20)	Identifies 1/2 & 1/4; computes ₱ currency; reads analog clock.	High practical everyday math fluency (coins, bills, time).	Weakness: Confuses hour vs minute hands. Focus: Play money store & analog clock drills.
Domain 6: Multi-Step Problems (Item 21)	Solves 2-step routine problems involving addition & subtraction.	Strong 4-step problem solving & math reading comprehension.	Weakness: Stops after first operation. Focus: Keyword highlighting & 2-step organizers.

VERIFIED SOLUTIONS KEY (1 Point Each; Item 21 is 4 Points • Total: 25 Points)

1: 5 H, 8 T, 4 O

2: a) >, b) <

3: Tens; Val = 70

4: 350, 360 (+10)

5: 87

6: 85 (Carry 1 ten)

7: 643 (Regroup)

8: 35 (Mental Math)

9: 43

10: 35 (Borrow 1 ten)

11: 357

12: 54 + 36 = 90

13: 5 × 4 = 20

14: 3 × 5 = 15 dots

15: 5 candies each

16: 16, 35, 40, 18

17: a) 1/2, b) 1/4

18: ₱155

19: ₱15 change

20: a) 4:30, b) 9:00

21: Step 1: Mangoes left | Step 2: Add & Subtract | Step 3: (45 + 38) - 26 = 57 | Step 4: 57 ripe mangoes left

DIAGNOSTIC PLACEMENT & TUTORIAL ACTION RUBRIC

22–25 pts: ADVANCED

• Exceeds Grade 2 standards.
• Ready for Grade 3 transition drills.

18–21 pts: PROFICIENT

• Solid Grade 2 mastery.
• Minor review on borrowing / word problems.

13–17 pts: DEVELOPING

• Gaps in borrowing or mult. facts.
• Weekly targeted tutorial drills.

< 13 pts: INTERVENTION

• Critical gaps in place value / operations.
• Immediate PERSONALIZED remediation.