BUDGET OF WORK IN MATHEMATICS VI FIRST GRADING PERIOD 1. WHOLE NUMBERS A. Comprehension of Whole Numbers (Pre-requisite Skills Before BEC) 1. Reads and writes numbers through billions 2. Identifies the properties of addition/multiplication of numbers 3. Expresses a number in simple form to expanded notation and vice-versa 4. Rounds numbers to the place value specified 5. adds five or more digit numbers with four or more addends with sums through billions without and with regrouping 6. Subtract s 5 or more digit numbers with zero difficulty, from 4 to 6 or more digit numbers 7.
Subtract 3 to 5 or more digit numbers with zero difficulty, from 4 to 6 or more digit numbers 8. Tells what is asked, what are given, word clue, operation to be used, draws a picture, transform a word problem to a number sentence, solve the equation and state the complete answer. 9. Multiplies 4 to 5 digit numbers by two-digit factors without and with regrouping 10. Multiplies 5 or more digit factors with zero/s in one factor or both 11. Divides 5 or more digit numbers by 2-digit numbers without and with remainder 12.
Divides 5 or more digit numbers by 3-digit numbers without and with remainder 13. Divides whole numbers by 10, 100 and 1000 14. Divides 5 or more digit numbers by 3-digit numbers with zero in the middle or continuous zero by 3-digit numbers with zero/s in the divisor 15. Solves word problems involving multiplication and/or division of whole numbers including money 16. Solves 2- to 3- step word problems involving any of the four operations including money B. Comprehension of Whole Numbers (Objectives Based from BEC) 1. Comprehends the order of the operations on whole numbers 1. Follow the order of operations (PEMDAS Rule) when solving expressions/equations having more than one operation 1. 1. 1 Define expression/ translate word phrases to numerical expressions 1. 1. 2 Gives the meaning of – Equation – Exponent – Base 1. 1. 3 Evaluates an expression involving exponents 1. 1. 4 Evaluates an expression with two different operations with exponents and parenthesis/ grouping symbols 1. 1. 5 Evaluates an expression with two different operations without exponents and parenthesis/ grouping symbols 1. 1. Evaluates an expression with more than two operations with or without exponents and parenthesis/ grouping symbols 1. 2 Applies the order of operations in solving 2-3 step word problems 1. 2. 1 Writes the equation to solve multi-step problems 1. 2. 2 Solves 2-3 step word problems involving whole numbers 1. 3 Describes answer in complete sentence with proper unit/ labels II. RATIONAL NUMBERS A. Comprehension of Decimals 1. Visualizes ones, tenths, hundredths and thousandths 1. 1 Names and decimal for a given model (region/blocks/money, number line) 1. 2 Uses different models to show a given decimal (region/blocks/money, umber line) 2. Renames fractions whose denominators are powers of 10 in decimal form 3. Writes decimals through ten thousandths 3. 1 Identify the value/ place value of a digit given decimal 3. 2 Reads decimals through ten thousandths 3. 3 Writes decimals through ten thousandths in different notations – standard notation – expanded notation 4. Compares and orders decimals through ten thousandths 5. Rounds decimals through ten thousandths SECOND GRADING PERIOD B. COMPREHENSION OF ADDITION AND SUBTRACTION OF DECIMALS 1. Estimate sums and differences of whole numbers and decimals 2.
Adds and subtracts whole numbers and decimals through ten thousandths without and with regrouping (with concrete/visual model) 3. Adds and subtracts mixed decimals with regrouping 4. Applies the different properties of addition to compute sums mentally 4. 1 commutative property of addition 4. 2 associative property of addition 5. Application of addition and subtraction of decimals 5. 1 writes an equation to solve word problems 5. 2 solve 2 to 3 step problems involving addition and subtractions of decimals including money 5. 3 describes answers in a complete sentence with proper label/units C.
COMPREHENSION OF MULTIPLECATION OF DECIMALS 1. Estimates products of whole numbers and decimals 2. Multiplies 1 to 3 digit numbers to 1 to 2 digit factors without and with regrouping 3. Multiplies 1 to 3 digit numbers to 1 to 2 digit factors without and with regrouping and with zero difficulty 4. Multiplies decimals up to the hundredths place 5. Multiplies mixed decimals by mixed decimals with hundredths 6. Multiplies mentally decimals by 10, 100 and 1000 mentally 7. Multiplies mentally decimals by 0. 1, 0. 01 and 0. 001 8. Applies the properties of multiplication to compute products mentally 8. commutative property of multiplication 8. 2 associative property of multiplication 8. 3 distributive property of multiplication over addition 9. Application of multiplication of decimals 9. 1 solves word problems involving multiplication of decimals including money 9. 2 solve 2 to 3 step word problem involving addition, subtraction and multiplication of decimals involving money 9. 3 describe the answer in a complete sentence with proper labels/units D. COMPREHENSION OF DIVISION OF DECIMALS 1. Estimates the quotients of whole numbers and decimals 2. Divides: 2. 1 whole numbers by 1 to 2-digit decimals 2. two to five digit whole numbers by 2-digit decimals 2. 2. 1 recognizes and differentiates between terminating and repeating, non-terminating decimal quotients 2. 3 mixed decimals by whole numbers 2. 3. 1 visualizes division using money as model 2. 4 whole numbers by decimals and mixed decimals 2. 5 mixed decimals by mixed decimals 3. Divides decimals by 10, 100, 1000 mentally 4. divides decimals by 0. 1, 0. 01, 0. 001 mentally 5. Application of division of decimals 5. 1 solves word problems involving division of decimals including money 5. 2 solves 2 to 3 step word problems decimals including money THIRD GRADING PERIOD
E. COMPREHENSION OF NUMBER THEORY AND FRACTION 1. Comprehension of number theory and concepts 1. 1 generalizes when a number is divisible by another number (divisibility rules) 1. 2 Identifies prime and composite numbers 1. 3 enumerates factors and multiples of given numbers 1. 4 list the prime factors of a given number 1. 5 writes prime factorization of a given number 1. 6 determines the greatest common factor (GCF) of 2 or more numbers 1. 7 determines the least common multiple (LCM) of 2 or more numbers F. COMPREHENSION OF FRACTIONS 1. Writes the fraction described (involving region. sets, number line) 2.
Rename fractions as decimals and vice-versa 3. Forms equivalent fractions 4. Solves for the missing terms in a pair of equivalent fractions 5. Reduces fractions to lowest terms 6. Changes mixed numbers to improper fractions and vice-versa 7. Estimates fractions close to 0, ? or 1 8. Changes dissimilar fractions to similar fraction using LCD 9. Compares fractions and mixed forms using different methods 9. 1 fraction sense, visual reasoning, renaming to like forms 9. 2 cross products methods 9. 3 LCD methods 10. Orders fractions in simple and mixed forms in ascending or descending order using different methods 1. Solves mentally word problems involving fractions G. COMPREHENSION OF ADDITION AND SUBTRACTION OF FRACTIONS 1. Visualizes addition and subtraction of fractions (using concrete and visual/pictorial model) 2. Estimates sums and differences of fractions in simple or mixed forms 3. Adds or subtracts similar fractions in simple or mixed forms without regrouping 4. Adds or subtracts similar fractions in simple or mixed forms with regrouping 5. Adds or subtracts dissimilar fractions in simple or mixed forms without regrouping 6. Adds or subtracts dissimilar fractions in simple or mixed forms with regrouping 7.
Adds mentally similar and dissimilar fractions using the properties of addition 8. Applications of addition and subtraction of fractions 8. 1 solves word problem involving addition or subtraction of fractions in simple or mixed forms without and with regrouping 8. 2 solves 2 to 3 steps word problems involving addition and subtraction of fractions in simple and mixed forms without and with regrouping H. COMPREHENSION OF MULTIPLICATION OF FRACTION 1. Multiplies a fraction by another fraction (with visual models) 2. Simplifies fractions before multiplying by cancellation method) 3. Multiplies fraction in simple and mixed forms . 1 changes mixed numbers and whole numbers to improper fractions before multiplying 4. Shows that multiplying a fractions by its reciprocal is equal to 1 4. 1 explains the meaning of reciprocal 4. 2 identifies the reciprocal of a given number 5. Application of Multiplication of Fraction 5. 1 solves word problem involving multiplication of fractions in simple or mixed forms 5. 2 solves 2 to 3 steps word problems involving addition, subtraction and multiplication of numbers in mixed forms I. COMPREHENSION OF DIVISION OF FRACTIONS 1. Visualizes division of whole numbers by fraction; a fraction by a fraction 2.
Divides a whole number by a fraction 3. Divides a fraction by another fraction 4. Divides fractions by different forms 5. Application of division of fractions 5. 1 solves word problem involving division of fractions 5. 2 solves 2 to 3 steps word problems involving any operation 5. 2. 1 uses correct order of operation J. COMPREHENSION OF RATIO AND PROPORTION 1. Forms ratio and proportion for groups of objects/number 1. 1 uses colon (:) and fractions in writing ratios and proportions 1. 1. 1 reduces a ratio to lowest term 2. Application of ratio and proportion 2. 1 set up a proportion for a given situation 2. solves word problems with 2. 2. 1 direct proportion 2. 2. 2 portative proportion 2. 2. 3 direct proportion FOURTH GRADING PERIOD K. COMPREHENSION OF PERCENT 1. Gives the meaning of the elements used in solving percentage problems 1. 1 percentage 1. 2 rate or percent 1. 3 base 2. Determine the percentage, rate and base in the given problem 3. Application of percent 3. 1 solves the three types of percentage problems 3. 1. 1 finds the percentage when the rate and base are given 3. 1. 2 finds the ratio or percent when the percentage and rate are given 3. 1. 3 finds the base when the percentage and rate are given . 2 computes common percentage mentally 3. 3 solves word problems involving finding the percentage/rate/base 3. 3. 1 – percentage of increase/decrease – discount – original price – rate of discount – mark- up price 3. 3. 2 – commission – rate of commission – total sales – total income 3. 3. 3 – sales tax – rate of sales – tax – selling price 3. 3. 4- simple interest – principal rate – time L. SIMPLE PROBABILITY 1. Make simple predictions 2. Tells the number of favorable outcomes/chances M. COMPREHENSIONS OF INTEGERS 1. Visualizes integers in their order on a number line 2. Compares integers 3.
Orders integers in increasing/decreasing order III. GEOMETRY A. COMPREHENSION OF SPATIAL FIGURES 1. Draw different spatial figures 1. 1 visualizes the different spatial figures: cube, rectangular prism, cylinder, sphere, pyramid, cone, etc. 1. 2 describes the different spatial figures 1. 3 distinguish spatial figures from plane figures IV. MEASUREMENT A. COMPREHENSION OF SURFACE AREA 1. Tells the surface area of solids 2. Tells the unit of measures used for measuring the surface area of solids 3. Finds the area formula of the following plane figures – parallelogram – triangles – trapezoids – circles . Derives a formula for finding the surface area of – cubes – prisms – cylinder 5. Application of measurements of surface area 5. 1 writes an equation or formula to solve for the surface area of solids 5. 2 solves word problems involving measurement of surface area B, COMPREHENSION OF VOLUME 1. Finds the volume of a solid 1. 1 tells the unit of measure used for measuring the volume of solids 1. 2 converts one cubic unit of measures to a larger or smaller unit 1. 3 derives a formula for finding the volume of solids like – prisms – cylinder – pyramids – cones 2. Application of measurement of volume 2. writes an equation or formula to solve for the volume of solid 2. 2 solves word problem involving measurement of volume C. COMPREHENSION OF METER READING 1. Reads and interpret reading from 1. 1 electric meter 1. 2 water meter 2. Application of meter reading 2. 1 solves word problems involving electric and water consumption D. COMPREHENSION OF METER CONVERSION 1. Converts from one unit to another unit of measurement (Prefixes in measurement) V. GRAPHS A. COMPREHENSION OF GRAPHS 1. Reads/Interpret data presented in a circle graph 2. Reads circle graph 3. Construct a circle graph 3. 1 organizes data presented in a circle graph