4th Grade Mathematics End-of-Year Assessment: Parent Guide

 4th Grade Mathematics

End-of-Year Assessment

8th Grade EOG Mathematics Test with Answer Key 202...
7th Grade EOG Mathematics Test with Answer Key 202...
6th Grade EOG Mathematics Test with Answer Key 202...
5th Grade Mathematics EOG Test with Answer Key 202...
4th Grade Mathematics End-of-Year Assessment: Par...

3rd Grade Mathematics TEST with Answer Key 2026-2027

 

Parent Preparation Guide & Complete Examination

 

 

Aligned To CCSS MATH/Texas TEKS Mathematics Grade 4

Frameworks Used Bloom's Taxonomy Hess's Cognitive Rigor Matrix

 

FOR PARENTS: What Is This Document?   This guide contains a complete, rigorous 4th grade mathematics examination aligned to the Texas Essential Knowledge and Skills (TEKS) standards — the same standards tested on state assessments such as STAAR. It is designed to help parents understand what their child is expected to know and be able to do by the end of 4th grade. Each question includes:   •  The specific TEKS standard being tested   •  The Bloom's Taxonomy level (Remember → Create)   •  The Depth of Knowledge (DOK) level from Hess's Cognitive Rigor Matrix   •  What the question measures, how to help at home, and common mistakes to watch for

 

 

 

How to Use This Guide

 

 

Bloom's Taxonomy Levels	Remember (recall facts) → Understand (explain ideas) → Apply (use in new situations) → Analyze (examine parts) → Evaluate (justify/critique) → Create (design new problems). Each level requires deeper thinking than the last.
Depth of Knowledge (DOK)	DOK 1: Recall & reproduction. DOK 2: Skills & concepts. DOK 3: Strategic thinking — multiple steps, reasoning, justification. DOK 4: Extended thinking — complex, open-ended, real-world design. Questions in this guide span all four levels.
TEKS Standards	Texas Essential Knowledge and Skills — the official learning standards for Texas public schools. Each TEKS code (e.g., 4.4A) tells you exactly which skill is being tested. These directly connect to STAAR test objectives.
Hess's Cognitive Rigor Matrix	Combines Bloom's levels with Webb's DOK to create a 2-dimensional map of cognitive demand. High-quality assessments — like STAAR — draw from all cells of this matrix, not just easy recall questions.

 

Examination At a Glance — TEKS Coverage

 

Part	Domain	Questions	TEKS
1	Number & Operations	Q1–Q8	4.2A, 4.2B, 4.3A, 4.3E, 4.3G, 4.4A, 4.4B, 4.4C, 4.4D
2	Algebraic Reasoning	Q9–Q13	4.5A, 4.5B
3	Geometry & Measurement	Q14–Q20	4.6A, 4.6B, 4.7A, 4.7C, 4.8A, 4.8B, 4.8C
4	Data Analysis	Q21–Q24	4.9A, 4.9B
5	Personal Financial Literacy	Q25–Q27	4.10A, 4.10B, 4.10C
6	Extended Problem Solving	Q28–Q30	All Domains

 

 

 

PART 1: NUMBER & OPERATIONS

 

Student Name: ___________________________    Date: _______________    Grade: 4

 

Directions: Read each question carefully. Show all your work. For multiple choice questions, circle the letter of the best answer. For open-response questions, write your answer and explanation in the space provided.

 

Question 1   Bloom's: Remember  |  DOK: 1  |  TEKS: 4.2A

What is the value of the digit 7 in the number 375,428?

A)  7 B)  700 C)  7,000 D)  70,000

 

Question 2   Bloom's: Understand  |  DOK: 1  |  TEKS: 4.2B

Compare the two numbers using >, <, or =.     246,819   ___   246,918

Answer: _______________________________________________

 

Question 3   Bloom's: Apply  |  DOK: 2  |  TEKS: 4.4A

Marcus collects baseball cards. He has 4 binders with 236 cards in each binder. He also has 3 loose packs with 48 cards in each pack. How many total baseball cards does Marcus have?

A)  1,088 B)  1,088 C)  1,088 D)  1,088

 

Question 4   Bloom's: Apply  |  DOK: 2  |  TEKS: 4.4D

A school cafeteria ordered 1,248 juice boxes to be shared equally among 8 classrooms. Each classroom will divide their juice boxes equally among 4 tables. How many juice boxes will each table receive?

A)  39 B)  156 C)  39 D)  312

 

Question 5   Bloom's: Analyze  |  DOK: 3  |  TEKS: 4.4B/4.4C

Amara is saving money to buy a bicycle that costs $189. She earns $12 per week doing chores. She has already saved $45. If she saves every dollar she earns, how many MORE weeks does she need to save to have enough money for the bicycle?  Show your work and explain your thinking.

Answer: _______________________________________________

 

Question 6   Bloom's: Remember/Understand  |  DOK: 1  |  TEKS: 4.3A

Look at the fraction strip below:     [  1/4  |  1/4  |  1/4  |  1/4  ]  Which fraction is equivalent to 2/4?

A)  1/2 B)  1/8 C)  3/4 D)  2/8

 

Question 7   Bloom's: Apply  |  DOK: 2  |  TEKS: 4.3E

Jaylen ate 3/8 of a pizza. His sister ate 1/4 of the same pizza. How much of the pizza did they eat together?  (Hint: You may need to find a common denominator.)

A)  4/12 B)  5/8 C)  4/8 D)  1/2

 

Question 8   Bloom's: Evaluate  |  DOK: 3  |  TEKS: 4.3G

Destiny said that 0.4 is less than 0.37 because 37 is bigger than 4. Is Destiny correct? Explain why or why not using what you know about decimal place value.

Answer: _______________________________________________

 

 

 

PART 2: ALGEBRAIC REASONING

 

Question 9   Bloom's: Understand  |  DOK: 1  |  TEKS: 4.5A

A machine makes 24 paper clips every 3 minutes. Complete the table to show the pattern.   Minutes: 3 | 6 | 9 | 12 | 15  Paper clips: 24 | ___ | ___ | ___ | ___

Answer: _______________________________________________

 

Question 10   Bloom's: Apply  |  DOK: 2  |  TEKS: 4.5A

Mrs. Rodriguez plants rows of sunflowers in her garden. Each row has 15 sunflowers. She writes this rule: Total sunflowers = 15 × number of rows.  If she has 340 sunflowers, how many complete rows does she have? Will there be any sunflowers left over? How many?

Answer: _______________________________________________

 

Question 11   Bloom's: Apply  |  DOK: 2  |  TEKS: 4.5B

Which equation represents the following situation?  Tyrone had some stickers. He gave 18 stickers to his friend. Now he has 47 stickers left. How many stickers did he start with?

A)  s - 18 = 47 B)  18 + 47 = s C)  s + 18 = 47 D)  47 - 18 = s

 

Question 12   Bloom's: Analyze  |  DOK: 3  |  TEKS: 4.5A

Look at this pattern of shapes:     ★ ★★ ★★★ ★★★★ ...    (1 star, 2 stars, 3 stars, 4 stars...)  Kiara says: 'The 20th figure will have 40 stars because each figure adds 2.'  Do you agree? Explain your reasoning and state what the 20th figure will actually have.

Answer: _______________________________________________

 

Question 13   Bloom's: Create  |  DOK: 4  |  TEKS: 4.5A/4.5B

Create your OWN word problem that could be solved using the equation: 6 × n = 72.  Write the word problem, identify what n represents, and show how to solve it.

Answer: _______________________________________________

 

 

 

PART 3: GEOMETRY & MEASUREMENT

 

Question 14   Bloom's: Remember  |  DOK: 1  |  TEKS: 4.6A

Which of the following best describes parallel lines?

A)  Lines that cross at exactly one point B)  Lines that are the same length C)  Lines in the same plane that never intersect D)  Lines that form a right angle

 

Question 15   Bloom's: Understand  |  DOK: 2  |  TEKS: 4.6B

A quadrilateral has 4 right angles and all 4 sides are equal in length. What is this shape? Name two DIFFERENT ways you can accurately classify it.

Answer: _______________________________________________

 

Question 16   Bloom's: Apply  |  DOK: 2  |  TEKS: 4.7A

A rectangular garden has a length of 18 feet and a width of 11 feet. Mr. Chen wants to put a fence all the way around the garden. He also wants to plant grass seed inside the garden.  A) How many feet of fencing does Mr. Chen need? B) How many square feet of grass seed does he need?

Answer: _______________________________________________

 

Question 17   Bloom's: Analyze  |  DOK: 3  |  TEKS: 4.7C

Two rectangles each have an area of 36 square units.    Rectangle A is 4 units wide.    Rectangle B is 9 units wide.  Which rectangle has the greater perimeter? Show your work and explain why two shapes with the same area can have different perimeters.

Answer: _______________________________________________

 

Question 18   Bloom's: Apply  |  DOK: 2  |  TEKS: 4.8A

A recipe calls for 3 cups of flour. Layla only has a 1/4-cup measuring scoop. How many times must she fill the scoop to measure 3 cups of flour?

A)  7 times B)  12 times C)  9 times D)  3 times

 

Question 19   Bloom's: Understand  |  DOK: 2  |  TEKS: 4.8B

Evan's pencil is 19 centimeters long. His eraser is 45 millimeters long. How much longer is the pencil than the eraser? Give your answer in millimeters.

A)  26 mm B)  145 mm C)  145 mm D)  26 mm

 

Question 20   Bloom's: Apply  |  DOK: 2  |  TEKS: 4.8C

A movie starts at 2:45 PM and ends at 4:20 PM. Nadia arrives 15 minutes before the movie starts. She leaves 10 minutes after the movie ends.  How long is Nadia at the movie theater in all?

A)  1 hour 35 minutes B)  2 hours C)  2 hours 0 minutes D)  1 hour 50 minutes

 

 

 

PART 4: DATA ANALYSIS

 

Question 21   Bloom's: Understand  |  DOK: 2  |  TEKS: 4.9A

A survey asked 4th graders about their favorite season. The results are:    Spring: 12 students    Summer: 18 students    Fall: 9 students    Winter: 6 students  If you made a bar graph with a scale of 3, how tall would the bar for Summer be?

A)  18 units tall B)  6 units tall C)  54 units tall D)  9 units tall

 

Question 22   Bloom's: Analyze  |  DOK: 3  |  TEKS: 4.9B

The dot plot below shows the number of books read by 10 students last month:     1: •    2: •••    3: ••    4: ••••  What is the median number of books read? What does the median tell you about this group of readers?

Answer: _______________________________________________

 

Question 23   Bloom's: Evaluate  |  DOK: 3  |  TEKS: 4.9B

Two 4th grade classes each have 20 students. The scores on a math quiz are shown:     Class A: Most scores are between 70-80. The range is 30 points.    Class B: Scores are spread from 40-100. The median is 78.  Which class performed more consistently? Which measure (median, range, or mode) best helps you decide? Justify your answer.

Answer: _______________________________________________

 

Question 24   Bloom's: Apply  |  DOK: 2  |  TEKS: 4.9A

Mrs. Torres is planning a class party. She surveyed 24 students about their preferred snack:    Pizza: 10 students    Fruit: 6 students    Chips: 5 students    Cookies: 3 students  She decides to make a pictograph where each picture = 2 students. How many pictures will represent the Fruit category? What fraction of students chose Pizza?

Answer: _______________________________________________

 

 

 

PART 5: PERSONAL FINANCIAL LITERACY

 

Question 25   Bloom's: Understand  |  DOK: 2  |  TEKS: 4.10A

Sofia earns $20 per week babysitting. She wants to follow the 50-30-20 budget rule:    50% for needs (snacks, school supplies)    30% for wants (entertainment)    20% for savings  How much money should she put in savings each week? How much total will she save in 8 weeks?

Answer: _______________________________________________

 

Question 26   Bloom's: Apply  |  DOK: 2  |  TEKS: 4.10B

Marcus wants to buy a new video game that costs $45. He has two options:     Option A: Pay $45 now using his savings.    Option B: Make 6 monthly payments of $9 each.  Which option costs more money in total? How much more? What is one advantage and one disadvantage of each option?

Answer: _______________________________________________

 

Question 27   Bloom's: Evaluate  |  DOK: 3  |  TEKS: 4.10C

Priya and Devon each receive $50 as a birthday gift. Priya spends $45 immediately on clothes. Devon saves $25 and spends $25 on a book.  After 3 months, Devon's savings have grown to $40 because he added $5 each month. Priya has $5 left from her birthday money.  Who made the better financial decision? Use specific numbers from the problem to support your argument.

Answer: _______________________________________________

 

 

 

PART 6: EXTENDED PROBLEM SOLVING

 

Question 28   Bloom's: Analyze  |  DOK: 3  |  TEKS: 4.4A/4.7A

A community park has two rectangular sections:    Section 1: 32 feet long and 15 feet wide    Section 2: 20 feet long and 28 feet wide  The city wants to pour concrete on the larger section and plant grass on the smaller section.  A) Which section is larger? Show your area calculations. B) How much larger (in square feet) is it than the other section? C) If concrete costs $3 per square foot, what will the concrete cost for the larger section?

Answer: _______________________________________________

 

Question 29   Bloom's: Evaluate  |  DOK: 4  |  TEKS: 4.3/4.4/4.5

Ella and James are each solving the same problem:  'What is 3/4 of 48?'  Ella's work: 48 ÷ 4 = 12, then 12 × 3 = 36. Answer: 36. James's work: 3 × 48 = 144, then 144 ÷ 4 = 36. Answer: 36.  Both got 36. Are both methods correct? Which method do you prefer and why? Is there a third method you could use?

Answer: _______________________________________________

 

Question 30   Bloom's: Create  |  DOK: 4  |  TEKS: All Domains

EXTENDED RESPONSE — Design a Math Challenge!  You are a 4th grade math teacher for a day. Create a word problem that:    (1) Involves at least TWO different math topics from 4th grade    (2) Has multiple steps to solve    (3) Requires the solver to explain their thinking  Write your word problem, solve it completely, and explain what math skills it tests.

Answer: _______________________________________________

 

 

COMPLETE ANSWER KEY

For Parent and Educator Use

 

 

Q#	Answer	Explanation	TEKS
1	D) 70,000	The digit 7 is in the ten-thousands place, so its value is 7 × 10,000 = 70,000.	4.2A
2	246,819 < 246,918	Both numbers have the same hundred-thousands, ten-thousands, and thousands digits. Comparing hundreds: 8 < 9, so 246,819 < 246,918.	4.2B
3	1,088	(4 × 236) + (3 × 48) = 944 + 144 = 1,088 cards total.	4.4A
4	A) 39	Step 1: 1,248 ÷ 8 = 156 boxes per classroom. Step 2: 156 ÷ 4 = 39 boxes per table.	4.4D
5	12 weeks	Money still needed: $189 - $45 = $144. Weeks needed: $144 ÷ $12 = 12 weeks.	4.4B/4.4C
6	A) 1/2	2/4 means 2 out of 4 equal parts. When the same whole is divided into 2 equal parts, each part is 1/2. So 2/4 = 1/2 (both represent half of a whole).	4.3A
7	B) 5/8	Convert 1/4 to eighths: 1/4 = 2/8. Then add: 3/8 + 2/8 = 5/8.	4.3E
8	Destiny is INCORRECT. 0.4 > 0.37	0.4 = 0.40 (4 tenths = 40 hundredths). Comparing: 40 hundredths > 37 hundredths, so 0.4 > 0.37. Destiny confused the digits with the values — the place value matters, not just the size of the number after the decimal.	4.3G
9	48, 72, 96, 120	The rule is ×8 per minute, or +24 every 3 minutes. 24 → 48 → 72 → 96 → 120.	4.5A
10	22 complete rows, 10 sunflowers left over	340 ÷ 15 = 22 remainder 10. She has 22 complete rows with 10 extra sunflowers.	4.5A
11	A) s - 18 = 47	Let s = starting stickers. Tyrone gave away 18, leaving 47. This is modeled by s - 18 = 47. (Also: s = 47 + 18 = 65 stickers.)	4.5B
12	Disagree. The 20th figure has 20 stars.	Each figure number equals its star count (position 1 = 1 star, position 2 = 2 stars). The rule is: stars = figure number. The 20th figure = 20 stars. Kiara incorrectly doubled the position instead of using the actual rule.	4.5A
13	Answers will vary. Example: '6 friends share 72 marbles equally. How many marbles does each person get?' n = marbles per person; 72 ÷ 6 = 12.	Any valid word problem where a quantity of 6 groups multiplied by an unknown amount equals 72 is correct. Students should define n and show 72 ÷ 6 = 12.	4.5A/4.5B
14	C) Lines in the same plane that never intersect	Parallel lines run side by side at the same distance apart forever and never cross. Railroad tracks are a classic real-world example.	4.6A
15	It is a square. It can also be classified as a rectangle AND as a rhombus.	A square has all properties of a rectangle (4 right angles) and a rhombus (4 equal sides). Classification in geometry is hierarchical — a square belongs to multiple categories.	4.6B
16	A) 58 feet of fencing (perimeter). B) 198 square feet of grass seed (area).	A) Perimeter = 2(18) + 2(11) = 36 + 22 = 58 feet. B) Area = 18 × 11 = 198 square feet.	4.7A
17	Rectangle A has a greater perimeter (26 units) than Rectangle B (22 units). Same area does NOT mean same perimeter.	A: 36÷4=9 long → P=2(4+9)=26. B: 36÷9=4 long → P=2(9+4)=22. A square-like shape minimizes perimeter for a given area; elongated shapes have greater perimeter.	4.7C
18	B) 12 times	3 cups ÷ 1/4 cup = 3 × 4 = 12. She must fill the 1/4-cup scoop 12 times.	4.8A
19	B) 145 mm	Convert pencil to mm: 19 cm = 190 mm. Difference: 190 - 45 = 145 mm.	4.8B
20	B) 2 hours	Movie length: 4:20 - 2:45 = 1 hr 35 min. Nadia arrives 15 min early and stays 10 min late. Total: 15 + 95 + 10 = 120 minutes = 2 hours.	4.8C
21	B) 6 units tall	With a scale of 3, each unit on the graph represents 3 students. Summer = 18 students ÷ 3 = 6 units tall.	4.9A
22	Median = 3 books. The median tells us that half the students read 3 or more books and half read 3 or fewer.	List values in order: 1, 2, 2, 2, 3, 3, 4, 4, 4, 4. With 10 values, the median is between the 5th and 6th values: (3+3)/2 = 3.	4.9B
23	Class A performed more consistently. Range is the best measure here — Class A's smaller range (30) shows scores are closer together (more consistent). Class B's range of 60 shows much more spread.	Range measures how spread out scores are. Smaller range = more consistent performance. The median tells us a 'middle' but not how spread the data is. Class B's median (78) looks good but hides extreme high and low scores.	4.9B
24	Fruit = 3 pictures. Pizza = 10/24 = 5/12 of students.	Fruit: 6 students ÷ 2 per picture = 3 pictures. Pizza fraction: 10/24 = 5/12 (simplified by dividing both by 2).	4.9A
25	Savings per week: $4.00. Total after 8 weeks: $32.00.	20% of $20 = 0.20 × $20 = $4. Over 8 weeks: $4 × 8 = $32.	4.10A
26	Option B costs more: 6 × $9 = $54. Option B costs $9 more. Advantage of B: keeps savings available now. Disadvantage of B: costs more overall.	Option A: $45 total. Option B: $54 total — $9 more. Installment plans spread cost over time but often cost more overall. This mirrors real-world credit and payment plan concepts.	4.10B
27	Devon made the better financial decision. After 3 months: Devon has $40 (saved $25 + $15 more), Priya has only $5. Devon has $35 more than Priya. Consistent saving builds wealth over time.	Priya: $50 - $45 = $5 remaining. Devon: $25 + (3 × $5) = $40. Devon is $35 ahead. The key lesson: saving consistently — even small amounts — builds financial security over time.	4.10C
28	A) Section 2 is larger (560 sq ft vs 480 sq ft). B) 80 sq ft larger. C) $1,680.	Section 1: 32 × 15 = 480 sq ft. Section 2: 20 × 28 = 560 sq ft. Section 2 is larger by 560 - 480 = 80 sq ft. Concrete cost: 560 × $3 = $1,680.	4.4A/4.7A
29	Both methods are correct. A third method: 0.75 × 48 = 36, or drawing 48 objects and circling 3 groups of 12.	Ella finds 1/4 first, then multiplies. James multiplies by 3 first, then divides. Both are valid because multiplication and division can be done in either order (commutative and associative properties). A fraction of a whole number can also be found by converting to a decimal.	4.3/4.4/4.5
30	Answers will vary. Full credit requires: problem with 2+ topics, multiple steps, complete solution, and explanation of skills tested.	Example: 'A garden is 24 ft by 15 ft. Seeds cost $2.50 per square foot. Maya budgets 60% for seeds and 40% for tools. How much does Maya budget for seeds?' (Area + decimals + percent + money).	All Domains

 

 

PARENT GUIDE

Understanding Every Question: What It Measures & How to Help

 

 

How to Read Each Parent Guide Entry   What This Question Measures — the specific skill and why it matters for your child's math future. How to Help at Home — practical, no-prep activities that build the skill through everyday life. Watch For / Common Mistakes — the exact errors most 4th graders make, so you can catch and correct them.

 

Q1: Place Value — Reading a Multi-Digit Number TEKS 4.2A  |  Bloom's: Remember | DOK: 1

What This Question Measures: This question checks whether your child can identify the place value of any digit in a number up to 1,000,000. Place value is the foundation of all arithmetic — without it, students cannot add, subtract, multiply, or divide reliably. How to Help Your Child at Home: Practice by writing 6-digit numbers on index cards. Point to any digit and ask your child to name both the place (e.g., ten-thousands) AND the value (e.g., 70,000). Play 'digit detectives' with grocery receipts or price tags. Watch For / Common Mistakes: Students often confuse the place name with the digit itself — saying '7' instead of '70,000.' They may also count positions from the wrong side.

 

Q2: Comparing Large Numbers TEKS 4.2B  |  Bloom's: Understand | DOK: 1

What This Question Measures: Students must align digits by place value and compare column by column from left to right — a skill critical to ordering numbers, understanding money, and interpreting data. How to Help Your Child at Home: Line numbers up vertically like a column. Circle the first place where the digits differ. Whichever digit is larger, that number is larger. Practice comparing prices in store ads or sports statistics. Watch For / Common Mistakes: Children often stop at the first digit and ignore the rest, or compare the total number of digits rather than place values.

 

Q3: Multi-Step Multiplication Word Problem TEKS 4.4A  |  Bloom's: Apply | DOK: 2

What This Question Measures: This multi-step problem requires students to identify two separate multiplication operations and then add the results. It assesses both computation fluency and the ability to model a real-world situation. How to Help Your Child at Home: Teach your child to underline key numbers and circle the question being asked. Then sketch a simple diagram: 4 groups of 236, and 3 groups of 48. Discuss: 'What do we need to find first? What do we do with those answers?' Watch For / Common Mistakes: Students may solve only one of the two multiplication steps and forget the second, or add the multipliers (4+3) instead of multiplying each separately.

 

Q4: Two-Step Division Word Problem TEKS 4.4D  |  Bloom's: Apply | DOK: 2

What This Question Measures: Students must perform sequential division operations and understand that the answer to the first step feeds into the second step — a key skill in multi-step reasoning. How to Help Your Child at Home: Model with physical objects. Use 12 small items and divide them 'equally among 2 groups, then equally among 3 tables each.' Discuss how real division works in daily life: splitting a pizza, distributing supplies, etc. Watch For / Common Mistakes: Children often try to divide 1,248 by 4 first, or add 8 + 4 = 12 and divide by 12. Emphasize reading the problem one step at a time.

 

Q5: Real-World Problem Solving with Subtraction and Division TEKS 4.4B/4.4C  |  Bloom's: Analyze | DOK: 3

What This Question Measures: This higher-order question requires students to identify what information they already have, what is missing, and which operations in which order will solve the problem. It mirrors real-life financial reasoning. How to Help Your Child at Home: Practice 'savings math' at home. If a toy costs $X and your child has $Y, ask: 'How much more do you need? If you earn $Z a week, how many weeks until you can buy it?' Use real goals to make it meaningful. Watch For / Common Mistakes: Students may skip the subtraction step and just divide $189 ÷ $12, which ignores the $45 already saved. Watch also for rounding errors when dividing.

 

Q6: Equivalent Fractions with Models TEKS 4.3A  |  Bloom's: Remember/Understand | DOK: 1

What This Question Measures: This question assesses whether students understand that different fractions can name the same amount. Equivalent fractions are essential for adding, subtracting, and comparing fractions. How to Help Your Child at Home: Fold a piece of paper in half. Shade one half. Now fold it again — you now have 4 pieces and 2 are shaded. Show your child that 1/2 = 2/4. Use fraction strips, pizza slices, or measuring cups. Watch For / Common Mistakes: Children sometimes think 'bigger numbers mean bigger fraction.' Remind them that 2/4 and 1/2 describe the same amount, just split differently.

 

Q7: Adding Fractions with Unlike Denominators TEKS 4.3E  |  Bloom's: Apply | DOK: 2

What This Question Measures: Students must find a common denominator before adding — a procedural and conceptual skill that is a cornerstone of 4th grade math and the foundation for fraction operations in 5th–8th grade. How to Help Your Child at Home: Use a ruler divided into inches and eighths. Ask your child: 'How many eighths make a fourth?' Then add the eighths together. Cooking is excellent practice — 'If we use 1/4 cup and 3/8 cup, how much is that altogether?' Watch For / Common Mistakes: The most common mistake is adding both numerators AND denominators: 3/8 + 1/4 = 4/12. Emphasize that the denominator tells us the size of the pieces — we cannot add pieces of different sizes without renaming them.

 

Q8: Evaluating Decimal Comparisons (Critical Thinking) TEKS 4.3G  |  Bloom's: Evaluate | DOK: 3

What This Question Measures: This question sits at the top of Bloom's Taxonomy (Evaluate) and DOK Level 3. Students must identify an error in reasoning, explain it using mathematical vocabulary, and demonstrate deep understanding of decimal place value. How to Help Your Child at Home: Use a number line from 0 to 1 divided into tenths and hundredths. Show that 0.4 lands at the 4-tenths mark, while 0.37 is just past the 3-tenths mark. Ask: 'Which is farther to the right? Which is bigger?' Practice writing decimals with trailing zeros (0.40) to compare. Watch For / Common Mistakes: This is a classic misconception. Students focus on the digits (37 > 4) rather than understanding that 0.4 means 4 tenths while 0.37 means 37 hundredths. Writing both as hundredths (0.40 vs. 0.37) usually clears the confusion.

 

Q9: Input-Output Tables and Patterns TEKS 4.5A  |  Bloom's: Understand | DOK: 1

What This Question Measures: Students must identify a multiplicative pattern (rule) and extend a table. This is early algebraic thinking — recognizing that variables relate to each other by consistent rules. How to Help Your Child at Home: Make your own input-output tables at home. 'If each egg carton holds 12 eggs, fill in the table for 1, 2, 3, 4, 5 cartons.' Ask your child to state the rule in words: 'Multiply the number of cartons by 12.' Watch For / Common Mistakes: Children may use additive thinking only — counting up by 24 — rather than seeing the relationship between minutes and paper clips. Both strategies work here, but the multiplicative view is more powerful.

 

Q10: Applying a Rule — Division with Remainders in Context TEKS 4.5A  |  Bloom's: Apply | DOK: 2

What This Question Measures: Students use a given mathematical rule, apply division, and then interpret the remainder in a real-world context. The remainder here has meaning: it is sunflowers that don't fit into a complete row. How to Help Your Child at Home: Whenever you divide objects into groups at home, ask about the remainder: 'We have 17 crackers for 4 kids — how many each? Are there any extra?' Discuss what the 'leftover' means in each situation. Watch For / Common Mistakes: Students sometimes drop the remainder ('22 rows') or treat it as a decimal without understanding its real-world meaning. Reinforce: what do we DO with the leftover sunflowers?

 

Q11: Writing Equations from Word Problems TEKS 4.5B  |  Bloom's: Apply | DOK: 2

What This Question Measures: Students must translate a verbal situation into a mathematical equation with a variable. This is a foundational pre-algebra skill — moving from concrete arithmetic to symbolic representation. How to Help Your Child at Home: Practice translating everyday situations into equations. 'You had some money. You spent $5. Now you have $12. Write a math sentence.' Encourage your child to define the variable first: 'Let m = the money I started with.' Watch For / Common Mistakes: Students often reverse the equation, writing s + 18 = 47 because they see both numbers and instinctively add. Encourage them to re-read and ask: 'What happened first? What happened next?'

 

Q12: Analyzing Patterns and Evaluating Another Student's Reasoning TEKS 4.5A  |  Bloom's: Analyze | DOK: 3

What This Question Measures: At DOK Level 3, students must identify the correct rule, apply it, and then evaluate someone else's (incorrect) mathematical argument. This develops both logical reasoning and mathematical communication. How to Help Your Child at Home: Play 'convince me' games. Show your child a pattern and ask them to state the rule, then predict a far-out term (like the 20th or 50th). Then make up a WRONG rule and ask: 'What's wrong with this thinking?' Watch For / Common Mistakes: Children may agree with Kiara simply because she sounds confident. Encourage your child to always verify by checking: 'Does position 2 have 4 stars? No — it has 2. So the rule of doubling doesn't work.'

 

Q13: Creating Word Problems from Equations (Highest Cognitive Level) TEKS 4.5A/4.5B  |  Bloom's: Create | DOK: 4

What This Question Measures: This question reaches Bloom's CREATE and DOK Level 4 — students must synthesize a real-world narrative that fits a mathematical structure. This demonstrates true understanding, not just computation. How to Help Your Child at Home: Play 'story maker.' Give your child an equation and challenge them to write the story. 'Make up a real-life problem where someone uses 4 × 25 = 100.' This builds mathematical thinking, writing, and creativity simultaneously. Watch For / Common Mistakes: Students may write a problem where the equation doesn't quite fit (e.g., mixing up what n represents). The key check: does solving your own problem actually produce n = 12?

 

Q14: Defining Geometric Vocabulary — Parallel Lines TEKS 4.6A  |  Bloom's: Remember | DOK: 1

What This Question Measures: Mathematical vocabulary (parallel, perpendicular, intersecting) is essential for communicating geometric ideas. Students must distinguish these terms precisely. How to Help Your Child at Home: Go on a 'lines hunt' at home. Find parallel lines (window panes, notebook lines, bookshelf edges), perpendicular lines (corners of doors, tiles), and intersecting lines (scissors, road intersections). Name them together. Watch For / Common Mistakes: Students confuse parallel (never meet) with perpendicular (meet at 90°). Both kinds of lines can appear to 'go in the same direction' to casual observers.

 

Q15: Classifying Quadrilaterals Using Properties TEKS 4.6B  |  Bloom's: Understand | DOK: 2

What This Question Measures: This question assesses conceptual understanding of shape hierarchies — understanding that shapes can belong to multiple categories based on their attributes. This is formal geometric reasoning. How to Help Your Child at Home: Draw a 'shape family tree' together: Quadrilateral → Parallelogram → Rectangle → Square. Discuss: 'Is every square a rectangle? (Yes!) Is every rectangle a square? (No!)' This hierarchical thinking is key. Watch For / Common Mistakes: Children often think a shape can only be one thing. Help them understand that classification depends on which properties you focus on — a square qualifies for many names.

 

Q16: Area vs. Perimeter — Real-World Application TEKS 4.7A  |  Bloom's: Apply | DOK: 2

What This Question Measures: Students must distinguish between perimeter (the distance around) and area (the space inside), apply the correct formula for each, and recognize that the same shape requires different calculations for different real-world purposes. How to Help Your Child at Home: Measure a room or outdoor space with a tape measure. Calculate how much baseboard trim you'd need (perimeter) vs. how much carpet or tile (area). This makes the difference concrete and memorable. Watch For / Common Mistakes: Confusing area and perimeter is one of the most common 4th grade errors. Reinforce: perimeter is 'going around the outside' (like a fence), area is 'filling the inside' (like carpet). The units differ too: ft vs. sq ft.

 

Q17: Relationship Between Area and Perimeter (Analytical Thinking) TEKS 4.7C  |  Bloom's: Analyze | DOK: 3

What This Question Measures: This DOK 3 question requires students to compare two shapes, recognize the counterintuitive relationship between area and perimeter, and articulate mathematical reasoning — skills that bridge arithmetic and geometric thinking. How to Help Your Child at Home: Use grid paper to draw ALL rectangles with an area of 24 squares. Measure the perimeter of each. Discover together which shape has the smallest perimeter (closest to a square) and which has the largest (thinnest, longest strip). Watch For / Common Mistakes: Students often assume equal areas mean equal perimeters. This question intentionally breaks that assumption. Encourage your child to always compute rather than assume.

 

Q18: Measurement Conversions — Fractions of Units TEKS 4.8A  |  Bloom's: Apply | DOK: 2

What This Question Measures: Students must convert between units (cups and quarter-cups) using division and fraction understanding. Measurement sense is critical for science, cooking, and practical life. How to Help Your Child at Home: Cook or bake something together. Use measuring cups deliberately — how many 1/3-cups make 1 cup? How many 1/4-teaspoons make 1 teaspoon? Real-world practice solidifies these abstract conversions. Watch For / Common Mistakes: Students may multiply instead of divide (3 × 1/4 = 3/4 — wrong) or guess based on the number of scoops without calculating. Reinforce: dividing by a fraction means multiplying by its reciprocal.

 

Q19: Metric Measurement Conversions (cm to mm) TEKS 4.8B  |  Bloom's: Understand | DOK: 2

What This Question Measures: Students must convert between metric units (centimeters and millimeters) before comparing. This requires knowing that 1 cm = 10 mm and applying that relationship. How to Help Your Child at Home: Use a ruler that shows both centimeters and millimeters. Measure household items in centimeters, then count the millimeters on the same object. Ask: 'How many mm is 6 cm? 14 cm?' The pattern (multiply by 10) becomes clear quickly. Watch For / Common Mistakes: Students may subtract 19 - 45 directly without converting (and get a negative number, which they often ignore). Emphasize: you can only compare measurements in the SAME unit.

 

Q20: Elapsed Time — Multi-Step TEKS 4.8C  |  Bloom's: Apply | DOK: 2

What This Question Measures: Students compute elapsed time across multiple intervals, requiring subtraction of time (with regrouping from minutes to hours) and addition of extra time. This is a practical life skill involving flexible thinking about time. How to Help Your Child at Home: Use an analog clock or draw timelines for daily events. Practice: 'If we leave at 10:15 and arrive at 12:40, how long did we travel?' Use TV schedules or sports events as real-world practice. Watch For / Common Mistakes: The most common error is calculating the movie length correctly (1:35) but forgetting to add the 15-minute early arrival and 10-minute late departure. Encourage students to list ALL time periods before adding.

 

Q21: Reading and Creating Bar Graphs with Scales TEKS 4.9A  |  Bloom's: Understand | DOK: 2

What This Question Measures: Students must understand how graph scales work — that the visual height represents a scaled quantity, not a direct count. Misreading scales is one of the most common data errors. How to Help Your Child at Home: Create simple bar graphs together from real data (family birthdays, favorite foods). Experiment with different scales — how does the graph look with a scale of 1? Of 5? Of 10? Discuss how scale changes the graph but not the data. Watch For / Common Mistakes: Students frequently mistake the bar height for the actual number. Emphasize: 'The scale tells you what each unit is worth. Read the number from the scale, then multiply.'

 

Q22: Interpreting the Median from a Dot Plot TEKS 4.9B  |  Bloom's: Analyze | DOK: 3

What This Question Measures: Students read data from a dot plot, order values, find the median, and explain what it means. This develops statistical reasoning — the ability to summarize and interpret data meaningfully. How to Help Your Child at Home: Collect 10 data points at home (steps walked each day, minutes reading, etc.). List them in order. Find the middle value. Discuss: 'What does the middle tell us about our typical day?' Watch For / Common Mistakes: Students may find the median of the x-axis labels (1,2,3,4 → median = 2.5) rather than the median of the actual data values. Stress: first list ALL data points (with repeats), then find the middle.

 

Q23: Choosing the Right Statistical Measure to Evaluate Data TEKS 4.9B  |  Bloom's: Evaluate | DOK: 3

What This Question Measures: This DOK Level 3 Evaluate question requires students to choose the most appropriate statistical tool for the situation and justify their reasoning — a sophisticated analytical skill. How to Help Your Child at Home: Compare prices of two items: 'Store A prices range from $2-$8. Store B prices range from $1-$20. Which store is more predictable?' Discuss which statistic helps you decide. This builds real data literacy. Watch For / Common Mistakes: Students may choose the median by default since it's the most recently learned measure. Push them to ask: 'Does the median tell me about CONSISTENCY, or just about the middle?'

 

Q24: Pictographs and Fractions from Data TEKS 4.9A  |  Bloom's: Apply | DOK: 2

What This Question Measures: Students apply pictograph conventions, perform division to find picture counts, and connect data to fractions — integrating data analysis with number sense in a practical context. How to Help Your Child at Home: Make a real pictograph of your family's weekly activities, where each symbol represents 30 minutes. Ask your child to draw the symbols and answer questions about the data: 'What fraction of our time was spent on ____?' Watch For / Common Mistakes: Students may forget to divide by the key value when drawing pictographs, placing 6 pictures for Fruit instead of 3. Also watch for unsimplified fractions left as 10/24.

 

Q25: Budgeting — Percentages and Personal Finance TEKS 4.10A  |  Bloom's: Understand | DOK: 2

What This Question Measures: Students apply percent reasoning to a personal finance context — calculating savings amounts and projecting totals over time. Financial literacy is now a required component of Texas 4th grade math standards. How to Help Your Child at Home: Give your child a small allowance and help them divide it: 'What is 20% of $5?' Use a calculator together. Open a savings jar and count contributions together weekly. Discuss why saving consistently matters. Watch For / Common Mistakes: Students may calculate 20% of 8 weeks' total first, which gives the same answer here but reflects a different (and sometimes incorrect) procedure. Ensure they understand the per-week calculation first.

 

Q26: Comparing Payment Plans — Cost Over Time TEKS 4.10B  |  Bloom's: Apply | DOK: 2

What This Question Measures: Students analyze two payment scenarios, calculate total costs, and evaluate trade-offs — a fundamental financial literacy skill. This prepares students to make informed economic decisions as they grow. How to Help Your Child at Home: When shopping, point out payment plans ('0% financing for 12 months!'). Calculate together what the monthly payment means in total vs. buying outright. Ask: 'Is it ever worth paying more to spread it out?' Watch For / Common Mistakes: Students may choose Option B simply because monthly payments 'seem smaller' without calculating the total. Reinforce: always multiply the payment by the number of payments to find the REAL total cost.

 

Q27: Evaluating Financial Decisions — Saving vs. Spending TEKS 4.10C  |  Bloom's: Evaluate | DOK: 3

What This Question Measures: This is the highest-rigor financial literacy question, requiring students to compute outcomes for two scenarios, compare them numerically, and construct an evidence-based argument — blending math, reasoning, and communication. How to Help Your Child at Home: Discuss real family decisions about saving vs. spending. Ask: 'What would our life look like if we spent every dollar the moment we got it? What are we able to do BECAUSE we saved?' Connect saving to goals your child cares about. Watch For / Common Mistakes: Students may give a vague answer ('Devon is better because he saved') without using the numbers. Encourage specific evidence: 'Devon has $40; Priya has $5 — a difference of $35.'

 

Q28: Multi-Step Area and Cost Problem TEKS 4.4A/4.7A  |  Bloom's: Analyze | DOK: 3

What This Question Measures: This three-part problem integrates area calculation, comparison, and cost reasoning across four operations. It simulates the kind of real-world planning problems that engineers, landscapers, and contractors solve. How to Help Your Child at Home: Calculate the area of rooms in your home. Ask: 'If carpet costs $2 per square foot, how much would it cost to carpet this room?' Walk through the steps: measure → multiply → multiply by cost. Real-world context makes the math stick. Watch For / Common Mistakes: Students may correctly calculate areas but then subtract incorrectly, or forget to calculate cost in part C. Encourage them to write out all three sub-questions before solving any.

 

Q29: Evaluating Multiple Solution Strategies (Deepest Level of Mathematical Thinking) TEKS 4.3/4.4/4.5  |  Bloom's: Evaluate | DOK: 4

What This Question Measures: DOK Level 4 — students must evaluate two strategies, determine their validity, explain WHY both work using mathematical properties, and generate an additional approach. This is open-ended mathematical discourse. How to Help Your Child at Home: When your child solves a problem, ask: 'Is there another way to do this?' Celebrate multiple approaches. Ask: 'Why does your way work? Does it always work?' This builds metacognitive mathematical thinking. Watch For / Common Mistakes: Students may think only one method can be correct. Reinforce that mathematics has many valid solution paths — what matters is the reasoning, not the specific steps, as long as the logic holds.

 

Q30: Design-Your-Own Math Problem — Ultimate Creative Challenge TEKS All Domains  |  Bloom's: Create | DOK: 4

What This Question Measures: The highest possible cognitive demand: Bloom's CREATE at DOK Level 4. Students must integrate knowledge across all domains, design a solvable challenge, execute it correctly, and communicate their mathematical thinking. This is the mark of true mathematical understanding. How to Help Your Child at Home: Encourage your child to 'play teacher.' Ask: 'Make up a hard word problem for ME to solve.' When they give you one, work through it together and ask: 'What math did you use? What would make this problem harder or easier?' Celebrate creativity in mathematics. Watch For / Common Mistakes: Students may create a problem that is too simple (one operation, one topic). Encourage ambition: 'Can you add something about measuring? Or about saving money?' The richest problems draw from multiple areas of life.

 

 

Scoring Guide & Next Steps

 

 

Score	Performance Level	Recommended Action
27–30	Masters Grade Level	Excellent! Focus on enrichment and extension problems. Encourage creative problem-solving and real-world math projects.
22–26	Meets Grade Level	Strong performance! Review missed questions by domain. Revisit the Parent Guide tips for any weak areas.
16–21	Approaches Grade Level	On the path! Spend 15 minutes daily on the domains where most questions were missed. Use hands-on activities from the guide.
0–15	Developing Foundational Skills	Schedule time with the teacher. Focus on TEKS 4.2, 4.4, and 4.7 first — these are the foundation for everything else.

 

 

 

This guide was developed using Texas TEKS Mathematics standards for Grade 4, Bloom's Revised Taxonomy (Anderson & Krathwohl, 2001), and Hess's Cognitive Rigor Matrix (2009). All questions are original and written to mirror the style, rigor, and real-world context of STAAR-aligned assessments. Designed to bridge the gap between classroom learning and home support — because parents are a child's most powerful teacher.