MATHEMATICS VI - RBEC
FIRST QUARTER
I. WHOLE NUMBERS
A. Comprehension of Whole Numbers
1. Comprehend the order of operations on whole numbers
1.1 Follow the correct order of operations (PEMDAS/MDAS Rule) when evaluating
expressions having more than one operation
1.1.1 Give the meaning of:
- Expression
- Equation
- Exponent
- Base
1.1.2 Evaluate an expression involving exponents
1.1.3 Evaluate an expression with two different operations with or without exponents
and parenthesis/grouping symbols
1.1.4 Evaluate an expression with more than 2 operations with or without exponents
and parenthesis/grouping symbols
1.2 Apply the order of operations in solving 2-3 step word problems
1.2.1 Solve 2-3 step word problems involving whole numbers following the steps in
solving 2-step problems
II. RATIONAL NUMBER
A. Comprehension of Decimals
1. Visualize tenths, hundredths and thousandths
1.1 Name a decimal for a given model (region/blocks, money, and number line)
1.2 Use different models to show a given decimal (region/block, money, number line)
2. Rename fractions whose denominators are powers of 10 in decimal form
3. Read and write decimals through ten thousandths
3.1 Identify the value/place value of a digit in a given decimal
3.2 Read decimals through ten thousandths
3.3 Write decimals through ten thousandths in different notations
- Standard Notation
- Expanded Notation
4. Compare and order decimals through ten thousandths
5. Round decimals through ten thousandths
B. Comprehension of Addition and Subtraction of Decimals
1. Add and subtract decimals and mixed decimals through ten thousandths without or with
regrouping
1.1 Estimate sums and differences of decimals and mixed decimals
1.2 Add and subtract whole numbers and decimals
1.3 Add and subtract decimals through ten thousandths without and with regrouping (with
concrete/visual models)
1.4 Add and subtract mixed decimals with regrouping
1.5 Apply the different properties of addition to compute sums mentally
1.6 Application of addition and subtraction of decimals
1.6.1 Solve 1 to 3-step word problems involving addition and subtraction of
decimals including money following the steps in solving problems
C. Comprehension of Multiplication of Decimals
1
1. Multiply decimals and mixed decimals through thousandths without and with regrouping and
with zero difficulty
1.1 Estimate products of whole numbers and decimals
1.2 Multiply 1 to 3 digit factors by 1 to 2 digit factors without and with regrouping and
with zero difficulty
1.3 Multiply hundredths by hundredths
1.4 Multiply mixed decimals by mixed decimals with hundredths
1.5 Multiply mentally decimals by 10, 100 and 1,000
1.6 Multiply mentally decimals by .01, 0.01 and 0.001
1.7 Apply the properties of multiplication to compute products
1.7.1 Commutative property of multiplication
1.7.2 Associative property of multiplication
1.7.3 Distributive property of multiplication over addition
1.8 Application of multiplication of decimals
1.8.1 Solve word problems involving multiplication of decimals including
money following the steps in solving problems
1.8.2 Solve 2 to 3 step word problems involving addition, subtraction and
multiplication of decimals including money following the steps in solving 2step problems
D. Comprehension of Division of Decimals
1. Estimate quotients of whole numbers and decimals
2. Divide :
2.1 Whole numbers (2-5 digit dividends by decimals (1-2 digit divisions)
2.2 Differentiate between terminating and repeating from non-terminating decimal
quotients
2.3 Mixed decimals by whole numbers
2.3.1 Visualize division using money as model
2.4 Whole numbers by decimals and mixed decimals
2.5 Mixed decimals by mixed decimals
3. Divide decimals by 10, 100, 1,000 mentally
4. Divide decimals by 0.1, 0.01, 0.001 mentally
5. Application of division of decimals
5.1 Solve word problems involving division of decimals including money following the
steps in solving problems
5.2 Solve 2 to 3 step word problems involving decimals including money following the
steps in solving 2-step problems
SECOND QUARTER
E. Comprehension of Fractions
1. Write the fraction described by a region, set and number line
2. Rename fractions as decimals and vice-versa
3. Form equivalent fractions
4. Solve for the missing terms in a pair of equivalent fractions
5. Reduce fractions to lowest terms
6. Change mixed numbers to improper fractions and vice-versa
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7. Estimate fractions close to 0, 2 or 1
8. Find the least common denominator (LCD) of a set of fraction
9. Compare fractions and mixed forms using
9.1 fraction sense, visual reasoning, renaming to like forms
9.2 cross products method
9.3 LCD method
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10. Order fractions in simple and mixed forms in ascending or descending order
11. Solve mentally word problems involving fractions
F. Comprehension of Addition and Subtraction of Fractions
1. Visualize addition and subtraction of fractions (using concrete and visual/ pictorial models)
2. Estimate sums and differences of fractions in simple and mixed forms
3. Add or subtract similar fractions in simple or mixed forms without regrouping
4. Add or subtract similar fractions in simple or mixed forms with regrouping
5. Add or subtract dissimilar fractions in simple or mixed forms without regrouping
6. Add or subtract dissimilar fractions in simple or mixed forms with regrouping
7. Add mentally similar and dissimilar fractions using the properties of addition
8. Application of addition and subtraction of fractions
8.1 Write an equation to solve word problems
8.2 Make drawings or diagrams to better understand the given problem
8.3 Solve word problems involving addition or subtraction of fractions in simple or mixed
forms with or without regrouping following the steps in solving problems
8.4 Solve 2-step word problems involving addition and subtraction of fractions in simple
and mixed forms without and with regrouping following the steps in solving 2-step
problems
G. Comprehension of Multiplication of Fractions
1. Multiply a fraction by another fraction (with visual models)
2. Simplify factors by cancellation method before multiplying
3. Multiply fractions in simple and mixed forms
4. Show that multiplying a fraction by its reciprocal is equal to 1
5. Application of Multiplication of Fractions
5.1 Solve word problems involving multiplication of numbers in mixed forms following
the steps in solving problems
5.2 Solve 2 to 3 step word problems involving addition, subtraction, and multiplication of
numbers in mixed forms following the steps in solving 2-step problems
H. Comprehension of Division of Fractions
1.
2.
3.
4.
Visualize division of a whole number by a fraction; a fraction by another fraction
Divide a whole number by a fraction; a fraction by another fraction
Divide fractions in different forms
Application of Division of Fraction
4.1 Solve word problems involving division of fractions following the steps in solving
problems
4.2 Solve 2 to 3-step word problems involving all operations on fractions following the
steps in solving 2-step problems
THIRD QUARTER
I. Comprehension of Ratio and Proportion
1. Forms ratio and proportion for groups of objects/numbers
1.1 Use colon (:) and fractions in writing ratios and proportions
1.2 Find a missing term in a proportion
2. Application of Ratio and proportion
2.1 Set up a proportion for a given situation
2.2 Solve word problems with:
2.2.1 Direct proportion
2.2.2 Partitive proportion
2.2.3 Inverse proportion
J. Comprehension of Percent
3
1. Give the meaning of the elements used in solving percentage problems
1.1 Percentage
1.2 Ratio or Percent
1.3 Base
2. Determine the percentage, rate and base in a given problem
3. Application of Percent
3.1 Set up an equation or proportion to solve problems
3.2 Solve the three types of percentage problems
3.2.1 Find the percentage when the rate and base are given
3.2.2 Find the rate or percent when the % age and base are given
3.2.3 Find the base when the percentage or rate are given
3.3 Compute common percentage mentally
3.4
Solve word problems involving finding the percentage/rate/base
3.4.1 Percent of increase/decrease
- Discounts
- Original Price
- Rate of Discount
- Sale Price
- Mark-up Price
3.4.2
Commission
- Rate of Commission
- Total Sales
- Total Income
3.4.3
Sales Tax
- Rate of Sales
- Tax
- Selling Price
3.4.4
Simple Interest
- Principal Rate
- Time
K. Simple Probability
1. Make simple predictions
2. Tell the number of favorable outcomes/chances
L. Comprehension of Integers
1. Visualize integers in their order on a number line
2. Compares integers
3. Order integers in increasing/decreasing order
FOURTH QUARTER
III. GEOMETRY
A. Comprehension of Spatial Figures
1. Describe different spatial figures
1.1 Visualize the different spatial figures, cube, rectangular prism, cylinder, sphere,
pyramid, cone, etc.
1.2 Draw the different spatial figures
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IV. Measurement
A. Comprehension of Surface Area
1. Tell the surface area of solids
2. Tell the unit of measure used for measuring the surface area of solids
3. Find the area formula of the following plane figures:
- parallelograms
- triangles
- trapezoids
- circles
4. Derive a formula for finding the surface area of:
- cubes
- prisms
- cylinders
5.
5.1
Application of Measurement of Surface Area
Solve the word problems involving measurement of surface area following the steps in
solving problems
B. Comprehension of Volume
1. Find the volume of a solid
1.1 Tell the unit of measure used for measuring the volume of solids
1.2 Convert one cubic unit of measure to a larger or smaller unit
1.3 Derive a formula for finding the volume of solids like:
- prism
- cylinders
- pyramid
- cones
2. Application of Measurement of Volume
2.1 Solve word problems involving measurement of volume following the steps in solving
problems
C. Comprehension of Meter Reading
1. Read and interpret readings from:
1.1 electric meters
1.2 water meters
V. Graphs
A. Comprehension of Circle Graph
1. Read and interpret data presented in a circle graph
2. Construct a circle graph
2.1 Organize data in a circle graph
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