P7-6 Adds and subtracts polynomials

Course categories: Achievement Test (2024-2025) Achievement Test (2024-2025) / Kinder Achievement Test (2024-2025) / Grade 1 Achievement Test (2024-2025) / Grade 2 Achievement Test (2024-2025) / Grade 3 Achievement Test (2024-2025) / Grade 4 Achievement Test (2024-2025) / Grade 5 Achievement Test (2024-2025) / Grade 6 Achievement Test (2024-2025) / Grade 7 Achievement Test (2024-2025) / Grade 8 Achievement Test (2024-2025) / Grade 9 Achievement Test (2024-2025) / Grade 10 iExcel iExcel / English iExcel / English / Grade 1 iExcel / English / Grade 1 / Grammar iExcel / English / Grade 1 / Grammar / GR-1 Recognize sentences and non-sentences iExcel / English / Grade 1 / Grammar / GR-2 Recognize simple sentences iExcel / English / Grade 1 / Grammar / GR-3 Recognize telling and asking sentences iExcel / English / Grade 1 / Grammar / GR-4 Verbs Recognize common action words in stories listened to iExcel / English / Grade 1 / Grammar / GR-5 Adjectives Recognize describing words for people, objects, things and places (color, shape, size, height, weight, length, distance, etc.) iExcel / English / Grade 1 / Vocabulary Development iExcel / English / Grade 1 / Vocabulary Development / VD-1 Use words that are related to self, family, school, community, and concepts such as the names for colors, shapes, and numbers iExcel / English / Grade 1 / Vocabulary Development / VD-2 Sort and Classify familiar words into basic categories (colors, shapes, foods, etc) iExcel / English / Grade 1 / Vocabulary Development / VD-2 Sort and Classify familiar words into basic categories (colors, shapes, foods, etc) / VD-3 Give the meaning of words using clues (TPR, pictures, body movements, etc.) iExcel / English / Grade 1 / Vocabulary Development / VD-3 Give the meaning of words using clues (TPR, pictures, body movements, etc.) iExcel / English / Grade 1 / Reading Comprehension iExcel / English / Grade 1 / Reading Comprehension / RC-1 1. note important details pertaining to a. character b. setting c. events 2. Give the correct sequence of three events 3. Infer the character feelings and traits 5. Identify the speaker in the iExcel / English / Grade 1 / Reading Comprehension / RC-2 Identify cause and/or effect of events iExcel / English / Grade 1 / Reading Comprehension / RC-3 Predict possible ending of a story read iExcel / English / Grade 1 / Reading Comprehension / RC-4 Identify the problem and solution iExcel / English / Grade 1 / Reading Comprehension / RC-4 Identify the problem and solution / PA-1 Recognize rhyming words in nursery rhymes, poems, songs heard iExcel / English / Grade 1 / Phonological Awareness iExcel / English / Grade 1 / Phonological Awareness / PA-1 Recognize rhyming words in nursery rhymes, poems, songs heard iExcel / English / Grade 1 / Phonological Awareness / PA-2 Give the number of syllables of given words. iExcel / English / Grade 1 / Phonological Awareness / PA-3 Distinguish rhyming words from non-rhyming words iExcel / English / Grade 1 / Phonological Awareness / PA-4 Supply rhyming words in response to spoken words iExcel / English / Grade 1 / Oral Language iExcel / English / Grade 1 / Oral Language / OL-1 Use/Respond appropriately to polite expressions iExcel / English / Grade 1 / Oral Language / OL-1 Use/Respond appropriately to polite expressions / OL-2 Use common expressions and polite greetings iExcel / English / Grade 1 / Oral Language / OL-2 Use common expressions and polite greetings iExcel / English / Grade 1 / Oral Language / OL-3 Talk about oneself and one’s family, Talk about one’s personal experiences pertaining to the family, one’s pets, and personal experiences & Relate one’s activities/responsibilities at home iExcel / English / Grade 1 / Oral Language / OL-3 Talk about oneself and one’s family, Talk about one’s personal experiences pertaining to the family, one’s pets, and personal experiences & Relate one’s activities/responsibilities at home / OL-4 Ask simple questions iExcel / English / Grade 1 / Oral Language / OL-4 Ask simple questions iExcel / English / Grade 1 / Oral Language / OL-5 Follow one-to-two step directions & Give one-to-two step directions iExcel / Mathematics iExcel / Mathematics / Grade 1 iExcel / Mathematics / Grade 1 / Numbers and Number Sense iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-1 Visualizes and represents numbers from 0 to 100 using a variety of materials iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-2 Counts the number of objects in a given set by ones and tens iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-3 Identifies the number that is one more or one less from a given number iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-4 Composes and decomposes a given number. e.g. 5 is 5 and 0, 4 and 1, 3 and 2, 2 and 3, 1 and 4, 0 and 5. iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-5 Visualizes, represents, and compares two sets using the expressions “less than,” “more than,” and “as many as” iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-6 Visualizes, represents, and orders sets from least to greatest and vice versa iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-7 Visualizes and counts by 2s, 5s and 10s through 100 iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-8 Reads and writes numbers up to 100 in symbols and in words iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-9 Visualizes and gives the place value and value of a digit in one- and two-digit numbers iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-10 Renames numbers into tens and ones iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-11 Visualizes, represents, and compares numbers up to 100 using relation symbols iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-12 Visualizes, represents, and orders numbers up to 100 in increasing or decreasing order iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-13 Identifies the 1st , 2nd, 3rd, up to 10th object in a given set from a given point of reference & Reads and writes ordinal numbers: 1st, 2nd, 3rd up to 10th iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-14 Recognizes and compares coins and bills up to PhP100 and their notations iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-15 Illustrates addition as “putting together or combining or joining sets” iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-16 Visualizes and adds two one-digit numbers with sums up to 18 using the order and zero properties of addition iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-17 Visualizes and adds three one-digit numbers using the grouping property of addition iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-18 Visualizes and adds two to three one-digit numbers horizontally and vertically iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-19 Uses expanded form to explain the meaning of addition with regrouping iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-20 Visualizes and adds numbers with sums through 99 without or with regrouping iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-21 Visualizes and solves one step routine and non-routine problems involving addition of whole numbers including money with sums up to 99 using appropriate problem solving strategies iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-22 Illustrates subtraction as “taking away” or “comparing” elements of sets iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-23 Illustrates that addition and subtraction are inverse operations iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-24 Visualizes, represents, and subtracts one-digit numbers with minuends through 18 (basic facts) iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-25 Visualizes, represents, and subtracts one- to two-digit numbers with minuends up to 99 without regrouping iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-26 Uses the expanded form to explain subtraction with regrouping iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-27 Visualizes, represents, and subtracts one- to two-digit numbers with minuends up to 99 with regrouping iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-28 Visualizes, represents, and solves routine and nonroutine problems involving subtraction of whole numbers including money with minuends up to 99 with and without regrouping using appropriate problem solving strategies and tools iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-29 Counts groups of equal quantity using concrete objects up to 50 and writes an equivalent expression iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-30 Visualizes and identifies ½ and ¼ of a whole object & Visualizes, represents, and divides a whole into halves and fourths iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-31 Visualizes, and divides the elements of sets into two groups of equal quantities to show halves iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-32 Visualizes, represents, and divides the elements of sets into four groups of equal quantities to show fourths iExcel / Mathematics / Grade 1 / Numbers and Number Sense / N1-33 Visualizes and draws the whole region or set given its ½ and/or ¼ iExcel / Mathematics / Grade 1 / Geometry iExcel / Mathematics / Grade 1 / Geometry / G1-1 Identifies, names, and describes the four basic shapes (square, rectangle, triangle and circle) in 2- dimensional (flat/plane) and 3-dimensional (solid) objects iExcel / Mathematics / Grade 1 / Geometry / G1-2 Compares and classifies 2- dimensional (flat/plane) and 3-dimensional (solid) figures according to common attributes iExcel / Mathematics / Grade 1 / Patterns and Algebra iExcel / Mathematics / Grade 1 / Patterns and Algebra / P1-1 Determines the missing term/s in a given continuous pattern using one attribute (letters/ numbers/events) iExcel / Mathematics / Grade 1 / Patterns and Algebra / P1-2 Determines the missing term/s in a given repeating pattern using one attribute(letters, numbers, colors, figures, sizes, etc.) iExcel / Mathematics / Grade 1 / Patterns and Algebra / P1-3 Constructs equivalent number expression using addition and subtraction iExcel / Mathematics / Grade 1 / Patterns and Algebra / P1-4 Identifies and creates patterns to compose and decompose using addition iExcel / Mathematics / Grade 1 / Patterns and Algebra / P1-5 Visualizes and finds the missing number in an addition or subtraction sentence using a variety of ways iExcel / Mathematics / Grade 1 / Measurement iExcel / Mathematics / Grade 1 / Measurement / M1-1 Tells the days in a week; months in a year in the right order iExcel / Mathematics / Grade 1 / Measurement / M1-2 Determines the day or the month using a calendar iExcel / Mathematics / Grade 1 / Measurement / M1-3 Tells and writes time by hour, half-hour and quarter-hour using analog clock iExcel / Mathematics / Grade 1 / Measurement / M1-4 Solves problems involving time (days in a week, months in a year, hour, half-hour, and quarter-hour) iExcel / Mathematics / Grade 1 / Measurement / M1-5 Compares objects using comparative words: short, shorter, shortest; long, longer, longest; heavy, heavier, heaviest; light, lighter, lightest iExcel / Mathematics / Grade 1 / Measurement / M1-6 Estimates and measures length using non- standard units of linear measures iExcel / Mathematics / Grade 1 / Measurement / M1-7 Estimates and measures mass using non-standard units of mass measure iExcel / Mathematics / Grade 1 / Measurement / M1-8 Estimates and measures capacity using non-standard unit iExcel / Mathematics / Grade 1 / Statistics and Probability iExcel / Mathematics / Grade 1 / Statistics and Probability / S1-1 Sorts, classifies, and organizes data in tabular form and presents this into a pictograph without scales iExcel / Mathematics / Grade 1 / Statistics and Probability / S1-2 Infers and interprets data presented in a pictograph without scales & Solves routine and non-routine problems using data presented in pictograph without scales iExcel / Mathematics / Grade 1 / Statistics and Probability / S1-3 Tells whether an event is likely or unlikely to happen iExcel / Mathematics / Grade 1 / Statistics and Probability / S1-4 Describe events in real-life situations using the phrases “ likely” or “unlikely to happen” iExcel / Mathematics / Grade 2 iExcel / Mathematics / Grade 2 / Number and Number Sense iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-1 Visualizes and represents numbers from 0-1000 with emphasis on numbers 101 – 1 000 using a variety of materials. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-2 Groups objects in ones, tens, and hundreds. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-3 Gives the place value and finds the value of a digit in three-digit numbers. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-4 Visualizes and counts numbers by 10s, 50s, and 100s. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-5 reads and writes numbers up to 1 000 in symbols and in words. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-6 visualizes and writes threedigit numbers in expanded form. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-7 visualizes and compares numbers up to 1 000 using relation symbols. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-8 visualizes and orders numbers up to 1 000 in increasing or decreasing order. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-9 Identifies the 1st through the 20th with the emphasis on 11th to 20th object in a given set from a given point of reference. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-10 Reads and writes ordinal numbers from 1st through the 20th. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-11 Identifies and uses the pattern of naming ordinal numbers from 1st to the 20th. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-12 Reads and writes money in symbols and in words through PhP100. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-13 Counts the value of a set of bills or a set of coins through PhP100 (pesocoins only; centavo-coins only; peso-bills only and combined peso-coins and peso-bills). iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-14 Compares values of different denominations of coins and paper bills through PhP100 using relation symbols. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-15 Illustrates the properties of addition (commutative, associative, identity) and applies each in appropriate and relevant situations. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-16 Visualizes, represents, and adds 2-digit by 3-digit numbers with sums up to 1000 without and with regrouping. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-17 Visualizes, represents, and adds 3-digit by 3-digit numbers with sums up to 1000 without and with regrouping. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-18 Solves routine and nonroutine problems involving addition of whole numbers including money with sums up to 1000 using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-19 Visualizes, represents, and subtracts 2- to 3-digit numbers with minuends up to 999 without and with regrouping. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-20 Solves routine and nonroutine problems involving subtraction of whole numbers including money with minuends up to 1000 using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-21 Performs orders of operations involving addition and subtractions of small numbers. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-22 Solves multi-step routine and non-routine problems involving addition and subtraction of 2- to 3-digit numbers including money using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-23 Illustrates multiplication as repeated addition using 32.1 groups of equal quantities 32.2 arrays 32.3 counting by multiples 32.4 equal jumps on the number line iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-24 Writes a related equation for each type of multiplication: repeated addition, array, counting by multiples, and equal jumps on the number line. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-25 Illustrates the property of multiplication that any number multiplied by one (1) is the same number. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-26 Illustrates the property of multiplication that zero multiplied by any number is zero. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-27 Illustrates the commutative property of multiplication. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-28 Visualizes multiplication of numbers 1 to 10 by 2,3,4,5 and 10. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-29 Solves routine and nonroutine problems involving multiplication and addition or subtraction of whole numbers including money using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-30 Visualizes and represents division as equal sharing, repeated subtraction, equal jumps on the number line and using formation of equal groups of objects iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-31 Creates and writes a related equation for each type of situation: equal sharing, repeated subtraction, equal jumps on the number line, and formation of equal groups of objects. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-32 Visualizes division of numbers up to 100 by 2,3,4,5, and 10 (multiplication table of 2, 3, 4, 5 and 10). iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-33 Illustrates that multiplication and division are inverse operations. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-34 Solves routine and nonroutine problems involving division of numbers by 2,3,4,5 and 10 and with any of the other operations of whole numbers including money using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-35 Visualizes, represents and identifies unit fractions with denominators of 10 and below & Identifies other fractions less than one with denominators 10 and below. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-36 Reads and writes unit fractions. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-37 Compares unit fractions using relation symbols. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-38 Arranges unit fractions in increasing or decreasing order & Arranges similar fractions in increasing or decreasing order. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-39 Visualizes similar fractions (using group of objects and number line) & Compares similar fractions using relation symbols. iExcel / Mathematics / Grade 2 / Number and Number Sense / N2-40 Reads and writes similar fractions. iExcel / Mathematics / Grade 2 / Geometry iExcel / Mathematics / Grade 2 / Geometry / G2-1 Visualizes, identifies, classifies and describes half circles and quarter circles. iExcel / Mathematics / Grade 2 / Geometry / G2-2 Identifies shapes/figures that show symmetry in a line. iExcel / Mathematics / Grade 2 / Geometry / G2-3 Identifies and draws the line of symmetry in a given symmetrical figure. iExcel / Mathematics / Grade 2 / Geometry / G2-4 Recognizes shapes that can tessellate iExcel / Mathematics / Grade 2 / Geometry / G2-5 Explains the differences between straight lines and curved lines, flat surfaces and curved surfaces. This is not reflected in the performance standards. iExcel / Mathematics / Grade 2 / Patterns and Algebra iExcel / Mathematics / Grade 2 / Patterns and Algebra / P2-1 Determines the missing term/s in a given continuous pattern using two attributes (any two of the following: figures, numbers, colors, sizes, and orientations, etc. iExcel / Mathematics / Grade 2 / Patterns and Algebra / P2-2 visualizes and finds the missing value in a number sentence involving multiplication or division of whole numbers using 2, 3, 4, 5 and 10 only. iExcel / Mathematics / Grade 2 / Measurement iExcel / Mathematics / Grade 2 / Measurement / M2-1 Tells and writes time in minutes including a.m. and p.m. using analog and digital clocks. iExcel / Mathematics / Grade 2 / Measurement / M2-2 Visualizes and finds the elapsed time in days & Visualizes, represents, and solves problems involving time (minutes including a.m. and p.m. and elapsed time in days). iExcel / Mathematics / Grade 2 / Measurement / M2-3 Shows and uses the appropriate unit of length and their abbreviation cm and m to measure a particular object. iExcel / Mathematics / Grade 2 / Measurement / M2-4 Compares length in meters or centimeters. iExcel / Mathematics / Grade 2 / Measurement / M2-5 Solves routine and nonroutine problems involving length. iExcel / Mathematics / Grade 2 / Measurement / M2-6 Shows and uses the appropriate unit of weight and their abbreviations g and kg to measure a particular object iExcel / Mathematics / Grade 2 / Measurement / M2-7 Compares mass in grams or kilograms. iExcel / Mathematics / Grade 2 / Measurement / M2-8 Solves routine and nonroutine problems involving mass. iExcel / Mathematics / Grade 2 / Measurement / M2-9 Illustrates area as a measure of how much surface is covered or occupied by a plane figure. iExcel / Mathematics / Grade 2 / Measurement / M2-10 Finds the area of a given figure using square-tile units i.e. number of squaretiles needed. iExcel / Mathematics / Grade 2 / Measurement / M2-11 Solves routine and nonroutine problems involving any figure using square tiles. iExcel / Mathematics / Grade 2 / Statistics and Probability iExcel / Mathematics / Grade 2 / Statistics and Probability / S2-1 Sorts, classifies, and organizes data in tabular form and presents this into a pictograph without and with scales. iExcel / Mathematics / Grade 2 / Statistics and Probability / S2-2 Infers and interprets data presented in a pictograph without and with scales. iExcel / Mathematics / Grade 2 / Statistics and Probability / S2-3 Solves routine and nonroutine problems using data presented in a pictograph without and with scales. iExcel / Mathematics / Grade 2 / Statistics and Probability / S2-4 Tells whether an event is likely, equally likely, unlikely to happen. iExcel / Mathematics / Grade 2 / Statistics and Probability / S2-5 Describe events in real-life situations using the phrases “ likely to happen” or “unlikely to happen” or “equally likely to happen”. iExcel / Mathematics / Grade 3 iExcel / Mathematics / Grade 3 / Number and Number Sense iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-1 Visualizes numbers up to 10 000 with emphasis on numbers 1001 - 10000. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-2 Gives the place value and value of a digit in 4- to 5-digit numbers. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-3 Reads and writes numbers up to 10 000 in symbols and in words. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-4 Rounds numbers to the nearest ten, hundred and thousand. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-5 Compares numbers up to 10 000 using relation symbols. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-6 Orders 4- to 5-digit numbers in increasing or decreasing order. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-7 Identifies ordinal numbers from 1st to 100th with emphasis on the 21st to 100th object in a given set from a given point of reference. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-8 Recognizes coins and bills up to PhP1 000. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-9 Reads and writes money in symbols and in words through PhP1 000 in pesos and centavos & compares values of the different denominations of coins and bills through PhP1 000 using relation symbols. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-10 Adds 3- to 4-digit numbers up to three addends with sums up to 10 000 without and with regrouping. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-11 Solves routine and nonroutine problems involving addition of whole numbers with sums up to 10 000 including money using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-12 Subtracts 3-to 4-digit numbers from 3- to 4-digit numbers without and with regrouping. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-13 Solves routine and nonroutine problems involving subtraction without or with addition of whole numbers including money using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-14 Visualizes multiplication of numbers 1 to 10 by 6,7,8 and 9. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-15 Visualizes and states basic multiplication facts for numbers up to 10. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-16 Applies the commutative property of multiplication. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-17 Multiplies 2-digit by 1-digit numbers using the distributive property of multiplication. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-18 Multiplies three 1-digit numbers using the associative property of multiplication. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-19 Multiplies 2-to 3-digit numbers by 1-digit numbers without or with regrouping. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-20 Multiplies 2-digit numbers by 2-digit numbers without regrouping & multiplies 2-digit number by 2-digit numbers with regrouping. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-21 Multiplies 2- to 3-digit numbers by multiples of 10 and 100 & multiplies 1- to 2-digit numbers by 1 000. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-22 Solves routine and nonroutine problems involving multiplication without or with addition and subtraction of whole numbers including money using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-23 Visualizes and states the multiples of 1- to 2-digit numbers. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-24 Visualizes division of numbers up to 100 by 6,7,8,and 9 (multiplication table of 6, 7, 8, and 9). iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-25 Visualizes and states basic division facts of numbers up to 10. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-26 Divides 2- to 3-digit numbers by 1- to 2- digit numbers without and with remainder. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-27 Divides 2-3 digit numbers by 10 and 100 without or with remainder. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-28 Solves routine and nonroutine problems involving division of 2- to 4-digit numbers by 1- to 2-digit numbers without or with any of the other operations of whole numbers including money using appropriate problem solving strategies and tools iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-29 Identifies odd and even numbers. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-30 Visualizes and represents fractions that are equal to one and greater than one. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-31 Reads and writes fractions that are equal to one and greater than one in symbols and in words. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-32 Represents fractions using regions, sets, and the number line. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-33 Visualizes and represents dissimilar fractions & visualizes, represents, and compares dissimilar fractions. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-34 Visualizes, represents, and arranges dissimilar fractions in increasing or decreasing order. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-35 Visualizes and generates equivalent fractions. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-36 Recognizes and draws a point, line, line segment and ray & recognizes and draws parallel, intersecting and perpendicular lines. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-37 Visualizes, identifies and draws congruent line segments. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-38 Identifies and visualizes symmetry in the environment and in design & identifies and draws the line of symmetry in a given symmetrical figure. iExcel / Mathematics / Grade 3 / Number and Number Sense / N3-39 Completes a symmetric figure with respect to a given line of symmetry. iExcel / Mathematics / Grade 3 / Patterns and Algebra iExcel / Mathematics / Grade 3 / Patterns and Algebra / P3-1 Determines the missing term/s in a given combination of continuous and repeating pattern. iExcel / Mathematics / Grade 3 / Patterns and Algebra / P3-2 Finds the missing value in a number sentence involving multiplication or division of whole numbers. iExcel / Mathematics / Grade 3 / Measurement iExcel / Mathematics / Grade 3 / Measurement / M3-1 Visualizes, and represents, and converts time measure from seconds to minutes, minutes to hours, and hours to a day and vice versa. iExcel / Mathematics / Grade 3 / Measurement / M3-2 visualizes, and represents, and converts time measure 64.1 days to week, month and year and vice versa 64.2 weeks to months and year and vice versa 64.3 months to year and vice versa. iExcel / Mathematics / Grade 3 / Measurement / M3-3 Visualizes, and represents, and solves problems involving conversion of time measure. iExcel / Mathematics / Grade 3 / Measurement / M3-4 Visualizes, and represents, and converts common units of measure from larger to smaller unit and vice versa: meter and centimeter, kilogram and gram, liter and milliliter. iExcel / Mathematics / Grade 3 / Measurement / M3-5 Visualizes, and represents, and solves routine and nonroutine problems involving conversions of common units of measure. iExcel / Mathematics / Grade 3 / Measurement / M3-6 Visualizes, and represents, and finds the capacity of a container using milliliter and liter. iExcel / Mathematics / Grade 3 / Measurement / M3-7 Visualizes, and represents, and solves routine and nonroutine problems involving capacity measure. iExcel / Mathematics / Grade 3 / Measurement / M3-7 Visualizes, and represents, and solves routine and nonroutine problems involving capacity measure. / M3-8 Visualizes, and represents, and measures area using appropriate unit. iExcel / Mathematics / Grade 3 / Measurement / M3-9 Derives the formula for the area of a rectangle and a square. iExcel / Mathematics / Grade 3 / Measurement / M3-10 Visualizes, and represents, and finds the area of a rectangle and square in sq.cm and sq. m & solves routine and nonroutine problems involving areas of squares and rectangles. iExcel / Mathematics / Grade 3 / Statistics and Probability iExcel / Mathematics / Grade 3 / Statistics and Probability / S3-1 Collects data on one variable using existing records. iExcel / Mathematics / Grade 3 / Statistics and Probability / S3-1 Collects data on one variable using existing records. / S3-2 Infers and interprets data presented in different kinds of bar graphs (vertical/ horizontal). iExcel / Mathematics / Grade 3 / Statistics and Probability / S3-2 Infers and interprets data presented in different kinds of bar graphs (vertical/ horizontal) & Solves routine and nonroutine problems using data presented in a single-bar graph. iExcel / Mathematics / Grade 3 / Statistics and Probability / S3-3 Tells whether an event is sure, likely, equally likely, unlikely, and impossible to happen & describes events in real-life situations using the phrases iExcel / Mathematics / Grade 4 iExcel / Mathematics / Grade 4 / Number and Number Sense iExcel / Mathematics / Grade 4 / Patterns and Algebra iExcel / Mathematics / Grade 4 / Measurement iExcel / Mathematics / Grade 4 / Statistics and Probability iExcel / Mathematics / Grade 5 iExcel / Mathematics / Grade 5 / Number and Number Sense iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-1 Visualizes numbers up to 10 000 000 with emphasis on numbers 100 001 – 10 000 000 & reads and writes numbers up to 10 000 000 in symbols and in words. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-2 Rounds numbers to the nearest hundred thousand and million. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-3 Uses divisibility rules for 2, 5, and 10 to find the common factors of numbers. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-4 Uses divisibility rules for 3, 6, and 9 to find common factors. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-5 Uses divisibility rules for 4, 8, 12, and 11 to find common factors. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-5 Uses divisibility rules for 4, 8, 12, and 11 to find common factors. / N5-6 Solves routine and non-routine problems involving factors, multiples, and divisibility rules for 2,3,4,5,6,8,9,10,11, and 12. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-6 Solves routine and non-routine problems involving factors, multiples, and divisibility rules for 2,3,4,5,6,8,9,10,11, and 12. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-7 states, explains, and interprets Parenthesis, Multiplication, Division, Addition, Subtraction (PMDAS) or Grouping, Multiplication, Division, Addition, Subtraction (GMDAS) rule & simplifies a series of operations on whole numbers iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-8 finds the common factors and the GCF of 2–4 numbers using continuous division. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-9 Finds the common multiples and LCM of 2–4 numbers using continuous division. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-10 Solves real-life problems involving GCF and LCM of 2-3 given numbers iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-10 Solves real-life problems involving GCF and LCM of 2-3 given numbers / N5-11 Adds fractions and mixed fractions without and with regrouping. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-12 Subtracts fractions and mixed fractions without and with regrouping. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-13 Solves routine and non-routine problems involving addition and/or subtraction of fractions using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-14 Visualizes multiplication of fractions using models & shows that multiplying a fraction by its reciprocal is equal to 1. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-15 Multiplies a fraction and a whole number and another fraction. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-16 Solves routine or non-routine problems involving multiplication without or with addition or subtraction of fractions and whole numbers using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-16 Solves routine or non-routine problems involving multiplication without or with addition or subtraction of fractions and whole numbers using appropriate problem solving strategies and tools. / N5-17 Visualizes division of fractions. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-18 divides - simple fractions - whole numbers by a fraction and vice versa iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-19 Solves routine or non-routine problems involving division without or with any of the other operations of fractions and whole numbers using appropriate problem solving strategies and tools . iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-20 Gives the place value and the value of a digit of a given decimal number through ten thousandths & reads and writes decimal numbers through ten thousandths. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-21 Rounds decimal numbers to the nearest hundredth and thousandth. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-22 Compares and arranges decimal numbers. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-23 Visualizes addition and subtraction of decimals & adds and subtracts decimal numbers through thousandths without and with regrouping. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-24 Solves routine or non-routine problems involving addition and subtraction of decimal numbers including money using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-24 Solves routine or non-routine problems involving addition and subtraction of decimal numbers including money using appropriate problem solving strategies and tools. / N5-25 Visualizes multiplication of decimal numbers using pictorial models. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-26 Multiplies decimals up to 2 decimal places by 1- to 2-digit whole numbers & multiplies decimals with factors up to 2 decimal places. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-27 Solves routine and non-routine problems involving multiplication without or with addition or subtraction of decimals and whole numbers including money using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-28 Visualizes division of decimal numbers using pictorial models. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-29 Divides decimals with up to 2 decimal places. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-30 Divides whole numbers with quotients in decimal form. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-31 Solves routine and non-routine problems involving division without or with any of the other operations of decimals and whole numbers including money using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-32 Visualizes the ratio of 2 given numbers & expresses ratio using either the colon (:) or fraction. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-33 Identifies and writes equivalent ratios & expresses ratios in their simplest forms. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-34 Finds the missing term in a pair of equivalent ratios. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-35 Defines and describes a proportion & recognizes when two quantities are in direct proportion. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-36 Visualizes percent and its relationship to fractions, ratios, and decimal numbers using models. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-37 Defines percentage, rate or percent, and base & identifies the base, percentage, and rate in a problem. iExcel / Mathematics / Grade 5 / Number and Number Sense / N5-38 Finds the percentage in a given problem & solves routine and non-routine problems involving percentage using appropriate strategies and tools iExcel / Mathematics / Grade 5 / Number and Number Sense / G5-2 Describes and compares properties of polygons (regular and irregular polygons). iExcel / Mathematics / Grade 5 / Number and Number Sense / G5-4 Visualizes and describes a circle & identifies the terms related to a circle. iExcel / Mathematics / Grade 5 / Geometry iExcel / Mathematics / Grade 5 / Geometry / G5-1 Visualizes, names, and describes polygons with 5 or more sides. iExcel / Mathematics / Grade 5 / Geometry / G5-3 Visualizes congruent polygons. iExcel / Mathematics / Grade 5 / Geometry / G5-5 Visualizes and describes solid figures. iExcel / Mathematics / Grade 5 / Patterns and Algebra iExcel / Mathematics / Grade 5 / Patterns and Algebra / P5-1 Formulates the rule in finding the next term in a sequence. e.g. 1, 3, 7,15, (15 x 2+1) Possible answers: (x 2 + 1) (+2, +4, +8, +16) iExcel / Mathematics / Grade 5 / Patterns and Algebra / P5-2 Uses different strategies (looking for a pattern, working backwards, etc.) to solve for the unknown in simple equations involving one or more operations on whole numbers and fractions. e.g. 3 x _ + 1 = 10 (the unknown is solved by working backwards) iExcel / Mathematics / Grade 5 / Measurement iExcel / Mathematics / Grade 5 / Measurement / M5-1 Measures time using a 12- hour and a 24-hour clock. iExcel / Mathematics / Grade 5 / Measurement / M5-2 Calculates time in the different world time zones in relation to the Philippines. iExcel / Mathematics / Grade 5 / Measurement / M5-3 Solves problems involving time. iExcel / Mathematics / Grade 5 / Measurement / M5-4 Visualizes circumference of a circle & measures circumference of a circle using appropriate tools. iExcel / Mathematics / Grade 5 / Measurement / M5-5 Derives a formula in finding the circumference of a circle & finds the circumference of a circle. iExcel / Mathematics / Grade 5 / Measurement / M5-6 Solves routine and non-routine problems involving circumference of a circle. iExcel / Mathematics / Grade 5 / Measurement / M5-7 Visualizes area of a circle & derives a formula in finding the area of a circle. iExcel / Mathematics / Grade 5 / Measurement / M5-8 Finds the area of a given circle & solves routine and non-routine problems involving the area of a circle. iExcel / Mathematics / Grade 5 / Measurement / M5-9 Visualizes the volume of a cube and rectangular prism & names the appropriate unit of measure used for measuring the volume of a cube and a rectangle prism. iExcel / Mathematics / Grade 5 / Measurement / M5-10 Derives the formula in finding the volume of a cube and a rectangular prism using cubic cm and cubic m & finds the volume of a given cube and rectangular prism using cu. cm and cu. m. iExcel / Mathematics / Grade 5 / Measurement / M5-11 Converts cu. cm to cu. m and vice versa; cu.cm to L and vice versa. iExcel / Mathematics / Grade 5 / Measurement / M5-12 Solves routine and non-routine problems involving volume of a cube and rectangular prism in real-life situations using appropriate strategies and tools. iExcel / Mathematics / Grade 5 / Measurement / M5-13 Reads and measures temperature using thermometer (alcohol and/or digital) in degree Celsius & solves routine and non-routine problems involving temperature in real-life situations. iExcel / Mathematics / Grade 5 / Statistics and Probability iExcel / Mathematics / Grade 5 / Statistics and Probability / S5-1 Interprets data presented in different kinds of line graphs (single to double-line graph), solves routine and nonroutine problems using data presented in a line graph & draws inferences based on data presented in a line graph. iExcel / Mathematics / Grade 5 / Statistics and Probability / S5-2 Describes experimental probability, analyzes data obtained from chance using experiments involving letter cards (A to Z) and number cards (0 to 20) & solves routine and nonroutine problems involving experimental probability. iExcel / Mathematics / Grade 6 iExcel / Mathematics / Grade 6 / Number and Number Sense iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-1 Adds and subtracts simple fractions and mixed numbers without or with regrouping. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-2 Solves routine and non-routine problems involving addition and/or subtraction of fractions using appropriate problem solving strategies and tools iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-3 Multiplies simple fractions and mixed fractions iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-4 Solves routine or non-routine problems involving multiplication without or with addition or subtraction of fractions and mixed fractions using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-5 Divides simple fractions and mixed fractions. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-6 Solves routine or non-routine problems involving division without or with any of the other operations of fractions and mixed fractions using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-7 Adds and subtracts decimals and mixed decimals through ten thousandths without or with regrouping. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-8 Solves 1 or more steps routine and non-routine problems involving addition and/or subtraction of decimals and mixed decimals using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-9 Multiplies decimals and mixed decimals with factors up to 2 decimal places. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-10 Solves routine and non-routine problems involving multiplication of decimals and mixed decimals including money using appropriate problem solving strategies. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-11 Solves multi-step problems involving multiplication and addition or subtraction of decimals, mixed decimals and whole numbers including money using appropriate problem solving strategies and tools. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-12 Divides whole numbers by decimals up to 2 decimal places and vice versa. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-13 Divides decimals/mixed decimals up to 2 decimal places. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-14 Divides decimals up to 4 decimal places by 0.1, 0.01, and 0.001. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-15 Differentiates terminating from repeating, non-terminating decimal quotients. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-16 solves routine and non-routine problems involving division of decimals, mixed decimals, and whole numbers including money using appropriate problem solving strategies and tools & solves multi-step routine and non-routine problems iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-17 Expresses one value as a fraction of another given their ratio and vice versa & finds how many times one value is as large as another given their ratio and vice versa. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-18 Defines and illustrates the meaning of ratio and proportion using concrete or pictorial models & sets up proportions for groups of objects or numbers and for given situations. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-19 Finds a missing term in a proportion (direct, inverse, and partitive). iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-19 Finds a missing term in a proportion (direct, inverse, and partitive). / N6-20 Solves problems involving direct proportion, partitive proportion, and inverse proportion in different contexts such as distance, rate, and time using appropriate strategies and tools. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-21 Finds the percentage or rate or percent in a given problem & solves routine and non-routine problems involving finding the percentage, rate and base using appropriate strategies and tools. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-21 Finds the percentage or rate or percent in a given problem & solves routine and non-routine problems involving finding the percentage, rate and base using appropriate strategies and tools. / N6-22 Solves percent problems such as percent of increase/decrease (discounts, original price, rate of discount, sale price, markedup price), commission, sales tax, and simple interest. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-21 Finds the percentage or rate or percent in a given problem & solves routine and non-routine problems involving finding the percentage, rate and base using appropriate strategies and tools. / N6-22 Solves percent problems such as percent of increase/decrease (discounts, original price, rate of discount, sale price, markedup price), commission, sales tax, and simple interest. / N6-23 Describes the exponent and the base in a number expressed in exponential notation. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-24 Gives the value of numbers expressed in exponential notation. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-25 Interprets and explains the Grouping, Exponent, Multiplication, Division, Addition, Subtraction (GEMDAS) rule. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-26 Performs two or more different operations on whole numbers with or without exponents and grouping symbols. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-27 Identifies real-life situations that make use of integers. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-28 Describes the set of integers & compares integers with other numbers such as whole numbers, fractions, and decimals. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-29 Represents integers on the number line. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-30 Compares and arranges integers. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-31 Describes and interprets the basic operations on integers using materials such as algebra tiles, counters, chips, and cards & performs the basic operations on integers. iExcel / Mathematics / Grade 6 / Number and Number Sense / N6-32 Solves routine and non-routine problems involving basic operations of integers using appropriate strategies and tools. iExcel / Mathematics / Grade 6 / Geometry iExcel / Mathematics / Grade 6 / Geometry / G6-1 Visualizes and describes the different solid figures: cube, prism, pyramid, cylinder, cone, and sphere & visualizes and describes the different solid figures: cube, prism, pyramid, cylinder, cone, and sphere. iExcel / Mathematics / Grade 6 / Geometry / G6-1 Visualizes and describes the different solid figures: cube, prism, pyramid, cylinder, cone, and sphere & visualizes and describes the different solid figures: cube, prism, pyramid, cylinder, cone, and sphere. / G6-2 Differentiates solid figures from plane figures. iExcel / Mathematics / Grade 6 / Geometry / G6-3 Illustrates the different solid figures using various c & identifies the faces of a solid figure. iExcel / Mathematics / Grade 6 / Geometry / G6-4 Identifies the nets of the following space figures: cube, prism, pyramid, cylinder, cone, and sphere using plane figures. iExcel / Mathematics / Grade 6 / Patterns and Algebra iExcel / Mathematics / Grade 6 / Patterns and Algebra / P6-1 Formulates the rule in finding the nth term using different strategies (looking for a pattern, guessing and checking, working backwards) iExcel / Mathematics / Grade 6 / Patterns and Algebra / P6-2 Differentiates expression from equation & gives the translation of reallife verbal expressions and equations into letters or symbols and vice versa. iExcel / Mathematics / Grade 6 / Patterns and Algebra / P6-3 Defines a variable in an algebraic expression and equation & represents quantities in reallife situations using algebraic expressions and equations. iExcel / Mathematics / Grade 6 / Patterns and Algebra / P6-4 Solves routine and non-routine problems involving different types of numerical expressions and equations such as 7+ 9 =_ + 6 & creates routine and nonroutine problems involving numerical expressions and equations. iExcel / Mathematics / Grade 6 / Patterns and Algebra / P6-4 Solves routine and non-routine problems involving different types of numerical expressions and equations such as 7+ 9 =_ + 6 & creates routine and nonroutine problems involving numerical expressions and equations. / M6-1 Calculates speed, distance, and time. iExcel / Mathematics / Grade 6 / Patterns and Algebra / P6-4 Solves routine and non-routine problems involving different types of numerical expressions and equations such as 7+ 9 =_ + 6 & creates routine and nonroutine problems involving numerical expressions and equations. / M6-1 Calculates speed, distance, and time. / M6-2 Solves problems involving average rate and speed. iExcel / Mathematics / Grade 6 / Measurement iExcel / Mathematics / Grade 6 / Measurement / M6-1 Calculates speed, distance, and time. iExcel / Mathematics / Grade 6 / Measurement / M6-2 Solves problems involving average rate and speed. iExcel / Mathematics / Grade 6 / Measurement / M6-3 Finds the area of composite figures formed by any two or more of the following: triangle, square, rectangle, circle, and semi-circle & solves routine and non-routine problems involving area of composite figures formed iExcel / Mathematics / Grade 6 / Measurement / M6-4 Visualizes and describes surface area and names the unit of measure used for measuring the surface area of solid/space figures. iExcel / Mathematics / Grade 6 / Measurement / M6-5 Derives a formula for finding the surface area of cubes, prisms, pyramids, cylinders, cones, and spheres & finds the surface area of cubes, prisms, pyramids, cylinders, cones, and spheres. iExcel / Mathematics / Grade 6 / Measurement / M6-6 Solves word problems involving measurement of surface area. iExcel / Mathematics / Grade 6 / Measurement / M6-7 Determines the relationship of the volume between 70.1 a rectangular prism and a pyramid; 70.2 a cylinder and a cone; 70.3 and a cylinder and sphere. iExcel / Mathematics / Grade 6 / Measurement / M6-8 Derives the formula for finding the volume of cylinders, pyramids, cones, and spheres & finds the volume of cylinders, pyramids, cones, and spheres. iExcel / Mathematics / Grade 6 / Measurement / M6-9 Solves routine and non-routine problems involving volumes of solids. iExcel / Mathematics / Grade 6 / Measurement / M6-10 Reads and interprets electric and water meter readings. iExcel / Mathematics / Grade 6 / Measurement / M6-11 Solves routine and non-routine problems involving electric and water consumption. iExcel / Mathematics / Grade 6 / Statistics and Probability iExcel / Mathematics / Grade 6 / Statistics and Probability / S6-1 Interprets data presented in a pie graph. iExcel / Mathematics / Grade 6 / Statistics and Probability / S6-2 Solves routine and non-routine problems using data presented in a pie graph. iExcel / Mathematics / Grade 6 / Statistics and Probability / S6-3 Describes the meaning of probability such as 50% chance of rain and one in a million chance of winning. iExcel / Mathematics / Grade 6 / Statistics and Probability / S6-3 Describes the meaning of probability such as 50% chance of rain and one in a million chance of winning. / S6-4 Quantifies the phrases “most likely to happen” and “unlikely to happen”. iExcel / Mathematics / Grade 6 / Statistics and Probability / S6-3 Describes the meaning of probability such as 50% chance of rain and one in a million chance of winning. / S6-4 Quantifies the phrases “most likely to happen” and “unlikely to happen”. / S6-4 Quantifies the phrases “most likely to happen” and “unlikely to happen”. iExcel / Mathematics / Grade 6 / Statistics and Probability / S6-4 Quantifies the phrases “most likely to happen” and “unlikely to happen”. iExcel / Mathematics / Grade 6 / Statistics and Probability / S6-5 Makes simple predictions of events based on the results of experiments. iExcel / Mathematics / Grade 6 / Statistics and Probability / S6-6 Solves routine and non-routine problems involving experimental and theoretical probability. iExcel / Mathematics / Grade 7 iExcel / Mathematics / Grade 7 / Number and Number Sense iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-1 Describes well-defined sets, subsets, universal sets, and the null set and cardinality of sets iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-2 Illustrates the union and intersection of sets and the difference of two sets iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-3 Uses Venn Diagrams to represent sets, subsets, and set operations iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-4 Solves problems involving sets iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-5 Represents the absolute value of a number on a number line as the distance of a number from 0 iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-6 Performs fundamental operations on integers iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-7 Illustrates the different properties of operations on the set of integers iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-8 Expresses rational numbers from fraction form to decimal form and vice versa iExcel / Mathematics / Grade 7 / Number and Number Sense / NC-9 Arranges rational numbers on a number line iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-10 Performs operations on rational numbers iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-11 Describes principal roots and tells whether they are rational or irrational iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-12 Determines between what two integers the square root of a number is iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-13 Estimates the square root of a whole number to the nearest hundredth iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-14 Plots irrational numbers (up to square roots) on a number line iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-15 Illustrates the different subsets of real numbers iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-16 Arranges real numbers in increasing or decreasing order iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-17 Writes numbers in scientific notation and vice versa iExcel / Mathematics / Grade 7 / Number and Number Sense / N7-18 Represents real-life situations which involve real numbers and solves problems involving real numbers iExcel / Mathematics / Grade 7 / Measurement iExcel / Mathematics / Grade 7 / Measurement / M7-1 Illustrates what it means to measure and describes the development of measurement from the primitive to the present international system of units iExcel / Mathematics / Grade 7 / Measurement / M7-2 Approximates the measures of quantities particularly length , weight/mass, volume, time, angle and temperature and rate iExcel / Mathematics / Grade 7 / Measurement / M7-3 Converts measurements from one unit to another in both Metric and English systems and solves problems involving conversion of units of measurement iExcel / Mathematics / Grade 7 / Measurement / M6-3 Finds the area of composite figures formed by any two or more of the following: triangle, square, rectangle, circle, and semi-circle & solves routine and non-routine problems involving area of composite figures formed iExcel / Mathematics / Grade 7 / Measurement / M6-4 Visualizes and describes surface area and names the unit of measure used for measuring the surface area of solid/space figures. iExcel / Mathematics / Grade 7 / Patterns and Algebra iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-1 Translates English phrases to mathematical phrases and vice versa iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-2 Interprets the meaning of an where n is a positive integer iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-3 Differentiates between constants and variables in a given algebraic expression iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-4 Evaluates algebraic expressions for given values of the variables iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-5 Classifies algebraic expressions which are polynomials according to degree and number of terms iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-6 Adds and subtracts polynomials iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-7 Derives the laws of exponent iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-8 Multiplies and divides polynomials iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-9 Uses models and algebraic methods to find the: (a) product of two binomials; (b) product of the sum and difference of two terms; © square of a binomial; (d) cube of a binomial; (e) product of a binomial and a trinomial iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-10 Solves problems involving algebraic expressions iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-11 Differentiates between algebraic expressions and equations iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-12 Translates English sentences to mathematical sentences and vice versa iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-13 Differentiates between equations and inequalities iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-14 Illustrates linear equation and inequality in one variable iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-15 Finds the solution of linear equation or inequality in one variable and solves linear equation or inequality in one variable involving absolute value by: (a) graphing; and (b) algebraic methods iExcel / Mathematics / Grade 7 / Patterns and Algebra / P7-16 Solves problems involving equations and inequalities in one variable iExcel / Mathematics / Grade 7 / Geometry iExcel / Mathematics / Grade 7 / Geometry / G7-1 Represents point, line and plane using concrete and pictorial models iExcel / Mathematics / Grade 7 / Geometry / G7-2 Illustrates subsets of a line iExcel / Mathematics / Grade 7 / Geometry / G7-3 Classifies the different kinds of angles iExcel / Mathematics / Grade 7 / Geometry / G7-4 Derives relationships of geometric figures using measurements and by inductive reasoning; supplementary angles, complementary angles, congruent angles, vertical angles, adjacent angles, linear pairs, perpendicular lines, and parallel lines iExcel / Mathematics / Grade 7 / Geometry / G7-5 Derives relationships among angles formed by parallel lines cut by a transversal using measurement and by inductive reasoning iExcel / Mathematics / Grade 7 / Geometry / G7-6 Illustrates polygons: (a) convexity; (b) angles; and (c) sides iExcel / Mathematics / Grade 7 / Geometry / G7-7 Derives inductively the relationship of exterior and interior angles of a convex polygon iExcel / Mathematics / Grade 7 / Geometry / G7-8 Illustrates a circle and the terms related to it: radius, diameter chord, center, arc, chord, central angle, and inscribed angle iExcel / Mathematics / Grade 7 / Geometry / G7-9 Solves problems involving sides and angles of a polygon iExcel / Mathematics / Grade 7 / Statistics and Probability iExcel / Mathematics / Grade 7 / Statistics and Probability / S7-1 Explains the importance of Statistics and Poses problems that can be solved using Statistics iExcel / Mathematics / Grade 7 / Statistics and Probability / S7-2 Formulates simple statistical instruments iExcel / Mathematics / Grade 7 / Statistics and Probability / S7-3 Organizes data in a frequency distribution table iExcel / Mathematics / Grade 7 / Statistics and Probability / S7-4 Uses appropriate graphs to represent organized data: pie chart, bar graph, line graph, histogram, and ogive iExcel / Mathematics / Grade 7 / Statistics and Probability / S7-5 Illustrates the measures of central tendency (mean, median, and mode) of a statistical data iExcel / Mathematics / Grade 7 / Statistics and Probability / S7-6 Calculates the measures of central tendency of ungrouped and grouped data iExcel / Mathematics / Grade 7 / Statistics and Probability / S7-7 Illustrates the measures of variability (range, average deviation, variance, standard deviation) of a statistical data iExcel / Mathematics / Grade 7 / Statistics and Probability / S7-8 Calculates the measures of variability of grouped and ungrouped data iExcel / Mathematics / Grade 7 / Statistics and Probability / S7-9 Uses appropriate statistical measures in analyzing and interpreting statistical data iExcel / Mathematics / Grade 7 / Statistics and Probability / S7-10 Draws conclusions from graphic and tabular data and measures of central tendency and variability Practice Test Only (5 Items) Practice Test Only (5 Items) / Practice Exam Practice Test Only (5 Items) / Practice Exam / Kinder Practice Test Only (5 Items) / Practice Exam / Grade 1 Practice Test Only (5 Items) / Practice Exam / Grade 2 Practice Test Only (5 Items) / Practice Exam / Grade 3 Practice Test Only (5 Items) / Practice Exam / Grade 4 Practice Test Only (5 Items) / Practice Exam / Grade 5 Practice Test Only (5 Items) / Practice Exam / Grade 6 Practice Test Only (5 Items) / Practice Exam / Grade 7 Practice Test Only (5 Items) / Practice Exam / Grade 8 Practice Test Only (5 Items) / Practice Exam / Grade 9 Practice Test Only (5 Items) / Practice Exam / Grade 10 Practice Test Only (5 Items) / Practice Exam / Senior High Other Matters Other Matters / DEMO Other Matters / DEMO / Kinder Other Matters / DEMO / Grade 1 Other Matters / DEMO / Grade 2 Other Matters / DEMO / Grade 3 Other Matters / DEMO / Grade 4 Other Matters / DEMO / Grade 5 Other Matters / DEMO / Grade 6 Other Matters / DEMO / Grade 7 Other Matters / DEMO / Grade 8 Other Matters / DEMO / Grade 9 Other Matters / DEMO / Grade 10 Other Matters / DEMO / Senior High Other Matters / XUGS Grades 1-6 Other Matters / XUGS Grades 1-6 / Grade 1 Other Matters / XUGS Grades 1-6 / Grade 2 Other Matters / XUGS Grades 1-6 / Grade 3 Other Matters / XUGS Grades 1-6 / Grade 4 Other Matters / XUGS Grades 1-6 / Grade 5 Other Matters / XUGS Grades 1-6 / Grade 6 Other Matters / USPF SAMPLE