## Grade 6 Math Curriculum

**Grade 6 math could be the toughest for your child. **But with a strong foundation in math, they can easily adapt to any question in front of them.

We’ve laid out all KooBits Grade 6 topics below. This list is aligned to **Philippine DepEd Math Curriculum**. Use it to plug any learning gaps in your child’s progress!

We have **100,000+ Grade 1 to Grade 6 questions** to give your child the practice they need for exams. Click on the button to learn more ↓

### Knowing Numbers and Number Theory

- Divisibility rules
- Evaluate exponents

### Focusing on Ratio,Proportion and Percent - Ratio

- Solve word problems involving 2 pairs of ratios
- Ratio of three quantities – Involving common multiples
- Solve word problems involving ratio of three quantities
- Solve word problems involving fractions and ratios
- Ratio – One Unchanged Quantity
- Ratio – Unchanged Total
- Ratio – Unchanged Difference
- Direct Proportion
- Inverse Proportion

### Linking Geometry and Measurement - Volume Of Solid Figures

- Find one dimension of a cuboid given its volume and the other dimensions
- Find the length of one edge of a cube given its volume
- Find the area of a face of a cuboid given its volume and one dimension
- Solve word problems involving volume of a cube and cuboid
- Find the height of a cuboid given its volume and base area
- Use of square root and cubic root symbol

### Modeling Algebra

- Given relationship between two parties, find total amount
- Given amount for two transactions, find final amount
- Given quantity-item relationship & one absolute quantity, find total quantity
- Given absolute amount, quantity of items & a fractional relationship, find total amount
- Given absolute amount, unit price and quantity-price relationship
- Given total quantity, unit quantity & one absolute quantity
- Given repeated-quantity relationship & absolute age
- Given repeated-quantity relationship & absolute relationship among parties
- Given total cost & quantity-cost relationship, find unit cost
- Given average, fractional relationship & one absolute amount

### High-ability - Percentage

- Given percentage relationship, change amount and percentage, find absolute amount
- Given percentage relationship, change amount and percentage, find absolute amount
- Given earning percentage & one price, find earning at another price
- Given discount percentage & price, find discount percentage at another price
- Given percentage relationship, change amount and total amount, find initial salary
- Given percentage & transaction amounts, find initial amount
- Given percentage relationship between groups and sub-groups, find percentage a sub-group
- Given two sets of percentage, find percentage relationship
- Given percentage discount, price & percentage relationship, find discounted price
- Given percentage relationship, find ratio
- Given percentage relationship before and after a change in quantity, find the change in quantity
- Given percentage relationship before and after a change in quantity, find final ratio
- Given savings percentage, change in percentage and amount, find salary
- Given percentage relationship, change in quantity and percentage, find initial quantity
- Given total quantity, percentage relationship & percentage sales, find quantity of items unsold

### Fractions

- Divide a whole number by a proper fraction
- Divide a proper fraction by a whole number
- Solve word problems involving fractions

### Linking Geometry and Measurement - Geometry

- Find unknown angles in geometrical figures involving square, rectangle and triangle
- Find unknown angles in geometrical figures involving parallelogram, rhombus and trapezium
- Find unknown angles in geometrical figures involving square
- Find unknown angles in geometrical figures involving rectangle
- Find unknown angles in geometrical figures involving triangle
- Find unknown angles in geometrical figures involving parallelogram
- Find unknown angles in geometrical figures involving rhombus
- Find unknown angles in geometrical figures involving trapezium
- Find the area of semicircle and quarter circle
- Find the perimeter of semicircle and quarter circle
- Solve word problems involving area and perimeter
- Find area and perimeter of a figure made up of square, rectangle, triangle, semicircle and quarter circle
- Parts of a Circle

### High-ability - Fractions

- Involving division of a proper fraction by a proper fraction
- Involving division of a proper fraction by a proper fraction & get number of items
- Involving division of a whole number by a proper fraction
- Involving division of a proper fraction by a proper fraction & fraction multiplication
- Involving division of a proper fraction by a proper fraction & fraction subtraction

### High-ability - Speed

- Given average speed, starting and ending time, find distance of journey
- Given starting and ending time & distance of journey, find average speed
- Given distance of journey, average speed & ending time, find starting time
- Given starting and ending time & average speed of first journey, starting time & relative speed of return journey, find return time
- Given total time, average speed & distance for first part of journey, find average speed for remaining journey
- Given distance & starting and ending time, find time to travel another journey
- Given average speed & time of travel, find total distance
- Given time of travel, a fractional distance & an absolute distance, find average speed
- Given Distance-Speed-Time relationship for two trips, find difference in average speed
- Given length of train, tunnel & average speed, find time of travel
- Given time of race, fractional distance & difference in speed, find distance of race
- Given two sets of starting time & average speed, find catch-up time
- Given fractional distance, average speed and time for first journey & remaining distance, find total time of travel
- Given time lapse, distance apart & speed difference, find average speed of one party
- Given Distance-Speed-Time relationship of two parties, find catch-up time

### High-ability - Polygons

- Angles involving triangles and rectangles
- Angles involving triangles and squares
- Angles involving triangles and parallelograms
- Angles involving triangles and rhombus
- Angles involving triangles and trapezium
- Angles involving two four-sided figures

### Focusing on Ratio,Proportion and Percent - Percentage

- Find the whole given a part and the percentage
- Find the percentage increase or decrease
- Solve word problems involving percentage (using Calculator)
- Solve problems involving GST
- Solve problems involving annual interest

### Understanding Signed Numbers

- Understanding integers
- Integers on number lines
- Integer addition and subtraction rules
- Add and subtract integers

### Linking Geometry and Measurement - Speed

- Find speed, given distance and time
- Solve up to 3-step word problems involving speed and average speed
- Find distance, given speed and time
- Find time, given distance and speed

### High-ability - Ratio

- Given ratio & one absolute amount, find transfer amount
- Given increase in quantity & ratio before and after quantity change, find initial quantity
- Given two ratio sets & one absolute amount
- Given price ratio before and after discount, find discounted price
- Given quantity ratio & total value of notes, find quantity of notes of a specific value
- Given fractional relationship & total age, find age ratio
- Given initial ratio, fractional spending & final amount difference, find amount for one party
- Given additional quantity & quantity ratio before and after, find final difference
- Given initial ratio, quantity added & repeated quantity after change, find quantity of an item
- Given two absolute amount & ratio between parties, find amount for one party
- Given fractional relationship & age ratio, find age of one party
- Given fractional relationship, find ratio
- Given ratio, fractional and absolute quantity of notes taken away & remaining value, find quantity of notes of a specific value
- Given initial ratio, saving amount & final ratio, find final amount
- Given two transfer events & corresponding ratio, find amount for one party

### High-ability - Circles

- Given radius, find perimeter of a quadrant or semicircle
- Given radius, find total area of quadrants or semicircles
- Given number of turns & diameter, find distance travelled
- Given side of square, find area of the figure
- Given radius, find shaded area of the figure
- Find area for patterns involving circles and triangles
- Given side of square, find area of the figure
- Given perimeter, find area of a circle
- Find perimeter of composite figures made of circles and other shapes
- Find area of composite figures made of circles and other shapes

### High-ability - Volume Of Solid Figures

- Given total surface area of cubes, find total volume
- Given total volume of cubes, find total surface area
- Given initial water level, base dimension of tank & change in volume, find height of water
- Given volume of water, fractional volume & bottom dimension, find height of tank
- Given volume of two liquids & height of one liquid, find the height of the other liquid
- Given rate of flow & tank dimensions, find time taken to fill up the tank
- Given dimensions of first tank & base area of second tank, find height of water
- Given base area of tank, rate of flow & duration of flowing tap, find volume of water
- Given dimensions of tank, duration of flowing tap, rate of flow, find volume of overflow

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### Connect Grade 6 Syllabus To Real-World Problems

We make the syllabus more exciting and relevant by going into **the “why” behind math**. There are over 90 hours of educational content, showing students how to use these topics to **solve real world problems**.

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