Grade 8 Mathematics Review
DepEd MELC-Based Quarterly Exam Reviewer
Total: 100 questions across 4 quarters
Choose Your Quarter
Select a quarter to start practicing. Each quiz covers specific topics from the DepEd curriculum.
Quarter 1: Factoring & Rational Expressions
Factoring polynomials, rational algebraic expressions, linear equations
TOPICS COVERED:
- •Factoring Polynomials
- •Rational Algebraic Expressions
- •Linear Equations in Two Variables
- •Slope of a Line
- •Systems of Linear Equations
Quarter 2: Linear Inequalities & Functions
Linear inequalities, functions, logic, if-then statements
TOPICS COVERED:
- •Linear Inequalities in Two Variables
- •Relations and Functions
- •Domain and Range
- •Logic and Reasoning
- •If-then Statements
Quarter 3: Geometry & Triangle Congruence
Axiomatic structure, triangle congruence, proofs
TOPICS COVERED:
- •Axiomatic Structure of Geometry
- •Triangle Congruence
- •Congruence Postulates (SAS, ASA, SSS)
- •Right Triangle Congruence
- •Proving Statements
Quarter 4: Probability & Statistics
Triangle inequalities, parallel lines, probability
TOPICS COVERED:
- •Triangle Inequalities
- •Parallel Lines and Transversals
- •Probability of Events
- •Counting Techniques
- •Experimental vs Theoretical Probability
Grade 8 Math Learning Milestones
Key skills your child should master throughout the school year:
| Skill | Quarter | Description |
|---|---|---|
| Factoring polynomials | Q1 | Factor trinomials, GCF, difference of squares |
| Rational expressions | Q1 | Simplify and perform operations on rational expressions |
| Slope-intercept form | Q2 | Write and interpret y = mx + b equations |
| Graphing linear equations | Q2 | Plot lines using slope and y-intercept |
| Solving linear inequalities | Q2 | Graph solutions on number line and coordinate plane |
| Substitution method | Q3 | Solve systems by substituting one variable |
| Elimination method | Q3 | Solve systems by adding or subtracting equations |
| Triangle congruence | Q3 | Apply SSS, SAS, ASA postulates |
| Permutations | Q4 | Calculate arrangements where order matters |
| Combinations | Q4 | Calculate selections where order does not matter |
Quarter-by-Quarter Learning Guide
Q1: Patterns, Algebra & Factoring
- • Recognize and extend number patterns and sequences
- • Translate verbal phrases into algebraic expressions
- • Factor polynomials using GCF and special products
- • Simplify rational algebraic expressions
- • Perform operations on rational expressions
Q2: Linear Equations & Inequalities
- • Write linear equations in two variables
- • Calculate and interpret slope and y-intercept
- • Graph linear equations on the coordinate plane
- • Solve and graph linear inequalities
- • Apply linear equations to real-world problems
Q3: Systems & Triangle Congruence
- • Solve systems of equations by substitution
- • Solve systems of equations by elimination
- • Interpret solutions graphically (intersection point)
- • Apply triangle congruence postulates (SSS, SAS, ASA)
- • Prove triangles congruent using postulates
Q4: Probability & Counting
- • Understand basic probability concepts
- • Identify sample space and events
- • Distinguish independent and mutually exclusive events
- • Calculate permutations (arrangements)
- • Calculate combinations (selections)
Tips for Parents: Supporting Grade 8 Math Learning
Do's
- ✓Encourage your child to show complete solutions, not just answers
- ✓Relate algebra to real-life situations (budgeting, discounts, rates)
- ✓Practice factoring together - it's foundational for higher math
- ✓Use graphing apps to visualize linear equations
- ✓Play probability games (cards, dice) to reinforce concepts
Don'ts
- ✗Don't let them skip steps when solving equations
- ✗Avoid using calculators for basic factoring problems
- ✗Don't rush through word problems - reading comprehension matters
- ✗Avoid memorizing formulas without understanding them
- ✗Don't ignore mistakes - analyze them to prevent future errors
Recommended Weekly Study Schedule
Monday
Algebra & Factoring Practice
Tuesday
Linear Equations & Graphing
Wednesday
Systems of Equations
Thursday
Geometry & Proofs
Friday
Probability & Review
Recommended: 45-60 minutes daily, with weekend review sessions
Frequently Asked Questions
What topics are covered in Grade 8 Mathematics?
Grade 8 Math covers four main areas: Patterns, Algebra & Factoring (Q1), Linear Equations & Inequalities (Q2), Systems of Equations & Triangle Congruence (Q3), and Probability & Counting (Q4). These topics build on Grade 7 concepts and prepare students for high school mathematics.
Why is factoring polynomials important in Grade 8?
Factoring polynomials is essential because it helps simplify algebraic expressions, solve quadratic equations, and work with rational expressions. Mastering factoring in Grade 8 provides a strong foundation for Algebra in high school.
How do I graph linear equations in two variables?
To graph linear equations: (1) Convert to slope-intercept form (y = mx + b), (2) Identify the y-intercept (b) and plot it, (3) Use the slope (m) to find another point by rising and running, (4) Connect the points with a straight line.
What are the triangle congruence postulates (SSS, SAS, ASA)?
SSS (Side-Side-Side): All three sides are equal. SAS (Side-Angle-Side): Two sides and the included angle are equal. ASA (Angle-Side-Angle): Two angles and the included side are equal. These postulates prove two triangles are congruent without measuring all parts.
What is the difference between permutation and combination?
Permutation considers order (arrangement matters), while combination does not (only selection matters). Example: Choosing a president and vice president is permutation. Choosing 2 representatives from 5 people is combination.
How do I solve systems of linear equations?
Two main methods: (1) Substitution - solve one equation for a variable and substitute into the other. (2) Elimination - add or subtract equations to eliminate one variable. Both methods find the point where two lines intersect.
Is Grade 8 Math aligned with DepEd MELC curriculum?
Yes, all questions in this reviewer are aligned with the Department of Education Most Essential Learning Competencies (MELC) for Grade 8 Mathematics, covering all four quarters of the school year.
How can I improve my algebra skills for Grade 8?
Practice regularly with factoring exercises, work on simplifying rational expressions, master the slope-intercept form, and solve many word problems. Understanding the "why" behind formulas is more important than memorizing them.
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About Grade 8 Math
This reviewer covers the complete Grade 8 Mathematics curriculum based on DepEd's Most Essential Learning Competencies (MELC). Topics include algebraic expressions, linear equations and inequalities, systems of equations, triangle congruence, and probability.
Each quarter focuses on specific mathematical concepts that build upon Grade 7 foundations and prepare students for Grade 9 advanced topics.
Note: Questions are designed as single-word terminology to help you master mathematical vocabulary and concepts efficiently.