Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 7 SUBJECT: MATHEMATICS GRADE LEVEL: 7 QUARTER: FIRST QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER I NUMBERS AND BNUMBERS SENSE Demonstrates understanding of key concepts of sets and real number system. Is able to formulate challenging situations involving sets and real numbers and solve these in a variety of strategies. LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION illustrates the union and intersection of sets and the difference of two sets. illustrates the different properties of operations on the set of integers. illustrates the different subsets of real numbers. Venn Diagram (graphs) Think pair and share Worksheet Amiable Main concepts map Think pair and share Worksheet Respect Labelling Picture Analysis Worksheet Commitment solves problem involving real numbers. Solves problem involving sets A.4 Quiz (problem solving) Word problem solving Group activity Worksheet Communication Individual activity (vein diagram Worksheet Excellence MEANING MAKING describes well-define sets , subsets, universal sets, and cardinality of sets. Written examination (essay) Pair activity Worksheet amiable describes principal roots and tells whether they are rational and irrational determines between what two integers the square root of a number is Quiz (identification) Circle the sage Worksheet Collaboration skills Problem recognition task Gallery walk Worksheet Excellence uses vein diagram to represents sets, subsets, and set operation. represents absolute value of a number line is a distance of a number from 0. performs fundamental operations on integers expresses rational numbers from fraction form to decimal form and vice versa. arranges rational numbers on a number line. Word problem solving using vein diagram Group activity(vein diagram) Worksheet Nurturing skills graph Table Pair activity (board work) Worksheet Pro-active Quiz (solving) Group activity Worksheet Excellence Graph (number line) Individual activity Worksheet Reflection skills Quiz Buzz group Worksheet Reflection skills TRANSFER performs operations on rational numbers plot irrational numbers on a number line arranges real numbers in increasing order or decreasing order Writes numbers in scientific notation and vice versa represents real-life situations which involve real numbers Prepared by: Edmond A. Bajado Math Teacher Worksheets (math drill) Graph Scramble words Think-pair and share Worksheet respect Worksheet Commitment Graph Classroom voting Worksheet Amiable Quiz (matching type) Individual activity Worksheets Goal oriented Application cards Think-pair and share Worksheets Faith Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 7 SUBJECT: MATHEMATICS GRADE LEVEL: 7 QUARTER: SECOND QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER II MEASUEEMENTS AND PATTERNS AND ALGEBRA 1.Demonstrate understanding of the key concepts of measurements 2. Is able to formulate real-life problems involving measurements and solve these using a variety of strategies. 2. Demonstrate understanding of key concepts of algebraic expressions, the properties of real numbers as applied in linear equation, and inequalities in 2. is able to model situations using oral, written, graphical, and algebraic methods in solving problems involving algebraic expressions, linear equations, LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION Illustrate what means to measure. solves problems involving conversion of units of measurements. adds and subtract polynomials. derives the law of exponent multiplies and divides polynomials solves problems Math factors organizer (graphic organizer) Quiz (problem solving) Buzz session Worksheet Ask the winner(group activity) Worksheet Documented problem solution Quiz (solving) Show and tell (pair activity) Worksheet Trust skill Bird Box (group activity) Show and tell (pair activity) Worksheet Commitment Worksheet Excellence Seatwork Worksheet Humility documented problem solution Quiz (problem Respect Goal oriented one variable. and inequalities in one variable. involving algebraic expressions illustrates linear equation and inequality in one variable finds the solution of linear equation or inequality in one variable. solves problems involving equations and inequalities in one variable solving) describes the development of measurement from primitive to present international system of units. differentiate between constants and variables in a given algebraic expressions Differentiate between algebraic expressions and equation differentiate between equation and inequalities line graph (with guided given) Picture analysis Worksheet Commitment problem solving (with line graph) Documentatio n activity (group act.) Worksheet Commitment Long quiz (problem solving) Brain storming Worksheet Service Written examination (essay) Think pair and share Worksheet Integrity Graph(use hierarchy diagram to differentiate0 Written exam (statements form) Group activity Worksheet Respect Group activity Worksheet engaged Written exam (essay to differentiate Group activity MEANING MAKING Engaged TRANSFER approximate the measures of quantities particularly lengths, weight, mas, volume, time, angle and temperature and rate. converts measurements from one unit to another in bot metric and English systems. translate English phrases to mathematical phrases and vice versa. interprets the meaning of “a” where n is a positive integer. classifies algebraic expressions which are polynomials according to degree and number of terms. translate English sentences to mathematical sentences and vice versa Prepared by: Edmond A. Bajado Math Teacher Quiz (multiple choice) Brainstorming by pair Worksheet Courage Quiz (solving) Group activity(board rotation Worksheet Amiable Math drills Think-pairshare Worksheet Service Written exam Group activity(peer review writing task) Circle the sage Worksheet Service Worksheet Amiable brainstorming Worksheet Excellence True or false Complete the table (with guided questions) Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 7 SUBJECT: MATHEMATICS GRADE LEVEL: 7 QUARTER: THIRD QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER III Geometry Demonstrates understandin g of key concepts of geometry of shapes and sizes, and geometric relationships. Is able to create models of plane figures and formulate and solve accurately authentic problems involving sides and angles of a polygon. LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION Brainstormin g (by pair) illustrates subsets of a line Math factors organizer (graphic organizer) illustrates polygons: (a) convexity; (b) angles; and (c) sides. -illustrates a circle and the terms related to it: radius, diameter chord, center, arc, chord, central angle, and inscribed angle. Quiz( construct figure) Show and tell (pair activity) Worksheet Pie chart (illustrate geometric relationships) Picture analysis Worksheet Circle the sage Worksheet Respect Excellence (Critical thinker) Commitment solves problems involving sides and angles of a polygon. Quiz (solving) 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. represents point, line and plane using concrete and pictorial models. derives Essays (with guide questions) Brainstormin g Worksheet Amiable (Goal oriented) Worksheet Excellence (Critical thinker) Board Rotation(Gro up Activity) MEANING MAKING Group activity (Show and Tell) (Proactive) Graphs (Line Graph with guided questions) Written Exam Think-pairshare Worksheet Respect Think-pair- Worksheet Service relationships among angles formed by parallel lines cut by a transversal using measurement and by inductive reasoning. (Essay) share derives inductively the relationship of exterior and interior angles of a convex polygon. Written examination(E ssay) Think pair classifies the different kinds of angles. Look Around (Word Hunt) uses a compass and straightedge to bisect line segments and angles and construct perpendiculars and parallels. Application cards (construct perpendicular and parallels) (Communicatio n) Buzz Session Worksheet Excellence (Critical thinker) Pair Activity Worksheet Courage Picture Analysis Worksheet Amiable TRANSFER constructs triangles, squares, rectangles, regular pentagons, and regular hexagons. Prepared by: Edmond A. Bajado Math Teacher Line graph(plotting to construct different shapes ) Yes/No Chart (Individual Activity) Worksheet Respect (Unity in diversity) Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 7 SUBJECT: MATHEMATICS GRADE LEVEL: 7 QUARTER: FOURTH QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER IV Statistics and Probability Demonstrates understandin g of key concepts, uses and importance of Statistics, data collection/gat hering and the different forms of data representatio n, measures of central tendency, measures of variability, and Is able to collect and organize data systematically and compute accurately measures of central tendency and variability and apply these appropriately in data analysis and interpretation in different fields. LEARNING COMPETENCIES (AMT LEARNING GOALS) poses problems that can be solved using Statistics. calculates the measures of central tendency of ungrouped and grouped data. calculates the measures of variability of grouped and ungrouped data. ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES written exam (Solution problems) Quiz(Problem Solving) Math Drills (Solving) OFFLINE ONLINE ACQUISITION Thin-pairshare Worksheet Peer review writing task Worksheet Board Rotation(Gro up Worksheet Peer review writing task Service Excellence (Critical thinker) Excellence (Critical thinker) probability. MEANING MAKING formulates simple statistical instruments. Quiz(Statemen t form) Buzz Session Worksheet Service organizes data in a frequency distribution table. illustrates the measures of central tendency (mean, median, and mode) of a statistical data. illustrates the measures of variability (range, average deviation, variance, standard deviation) of a statistical data gathers statistical data. Data Grid (Frequency distr. Table) Quiz(Solving) Think-pairshare Worksheet Respect Pair Activity Worksheet Service (Communicatio n) Quiz(solving) Buzz Session Research Paper Group activity (Brainstormi ng) Yes/No Chart (Individual Activity) Worksheet Respect (Unity in diversity) Respect (Unity in diversity) TRANSFER explains the importance of Statistics. Essay Brainstorming Worksheet Courage formulates simple statistical instruments. uses appropriate graphs to represent organized data: pie chart, bar graph, line graph, histogram, and ogive. Quiz (Statement form) Graphs (Draw graphs with guided questions) Buzz Session Worksheet Amiable Board work (Individual) Worksheet Commitment Prepared by: Edmond A. Bajado Math Teacher uses appropriate statistical measures in analyzing and interpreting statistical data. Written Exam ( Solving and Statement form) Think-pairand-share Worksheet Service (Communicatio n) draws conclusions from graphic and tabular data and measures of central tendency and variability. Written Exam (Statement form) Exit Slips (Pair Activity) Worksheet Service (Communicatio n) Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 8 SUBJECT: MATHEMATICS GRADE LEVEL: 8 QUARTER: FIRST QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER I PATTERN AND ALGEBRA Demonstrates understanding of key concepts of factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, system of linear equation and inequalities in two variables and linear functions. Is able to formulate real-life problems involving factors of polynomials, rational algebraic expressions, linear equations and inequalities in two variables, system of linear equation and inequalities in two variables and linear functions, and solve these problems accurately using a variety of strategies. LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION Factors completely different types of polynomials (polynomials with common monomials factors, difference of two squares, sum and difference of two cubes, perfect square trinomials and general trinomials). Illustrates rational algebraic expressions Illustrate the rectangular coordinate system and its uses. Illustrate linear Quiz (Problem Solving) Group activity Worksheet Amiable labeling Pair activity Worksheet Respect Long quiz (identification) Individual activity Worksheet Excellence Diagnostic test Individual Worksheet Commitment equations in two variables. Illustrate the slope of lines Finds the slope of the line given two points, equation, and graph. Finds the equation of a line given (a) two points; (b) the slope and a point; (c) the slope and its intercepts. Illustrate a system of linear equations in two variables. (true or false) activity Graphing Pair activity Worksheet Commitment Quiz Buzz session Worksheet Commitment Long quiz (formulate an equation) Reporting Worksheet Service Fill in the blank Group activity Worksheet Patience Performs operations on rational algebraic expression. Long quiz Group activity (solve a problem involving the operations on algebraic expressions. Graphing (solve Individual the linear activity equation) Worksheet Worksheet Competence Short quiz ( identification Pair activity Worksheet Competence Quiz (solve and graph) Individual activity Worksheet Respect MEANING MAKING Graphs a linear equation given (a) any two points; (b) the x- and yintercepts; (c) the slope and a point of a line. Describes the graph of linear equation in terms of its intercepts and slope. Graphs a system of linear equation in Respect two variables. Performs operations on rational algebraic expression. Diagnostic test (problem solving) Board work Solves problems involving factors of polynomials. Long quiz (problem solving) Simplifies rational algebraic expressions. Solves problems involving rational algebraic expressions. Worksheet excellence Think-pairshare Worksheet Courage Short quiz (simplify) Pair activity Worksheet Respect Short quiz (solve the problem involving rational algebraic expressions) Long quiz (complete the equation) Board rotation Worksheet Critical thinker Exit slip Worksheet Excellence Short quiz (multiple choice) Pair activity Worksheet Service Short quiz (solve the linear equation and graphs) Circle a question Worksheet Amiable TRANSFER Writes the linear equation given ax + by = c in the form y = mx + b and vice versa. Categorize when a given system of linear equations in two variables has graphs that are parallel, intersecting and coinciding. Solves a system of linear equations in two variables by (a) graphing; (b) substitution; (c) elimination. Solves problem involving system of linear equations in two variables. Prepared by: Edmond A. Bajado Math Teacher Problem solving Math Olympiad Worksheet Goal oriented Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 8 SUBJECT: MATHEMATICS GRADE LEVEL: 8 QUARTER: SECOND QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QURTER II PATTERNS AND ALGEBRA -demonstrates key concepts of linear inequalities in two variables, system of linear inequalities in two variables and linear functions. - is able to formulate and solve accurately real-life problems involving linear inequalities in two variables, system of linear inequalities in two variables and linear functions LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION Illustrates linear inequalities in two variables. Compare and contrast Graphic organizer Worksheet Love for Knowledge Illustrate a relation and a function. Illustrate a linear function. 3-minutes spot report Working with text Pair activity Worksheet Excellence Line ups activity Worksheet Integrity Differentiates linear inequalities in two variables from linear equations in two variables. Timeline (differentiate) mix-N-match Worksheet Service MEANING MAKING Graphs linear inequalities in two variables. Plotting points Individual activity Worksheet Service Determines dependent and independent variables Graphs a linear functions (a) domain; (b) range; (c) tables of values; (d) intercepts; (e) slopes Determines the relationships between the hypothesis and the conclusion of if-then statement. Determines inverse, converse and contrapositive of ifthen statement. Long quiz (true or false) Group activity Worksheet Competence Graph (using line graph) Individual activity Worksheet Competence Quiz Fun and pick Worksheet Excellence Quiz (multiple choice) Group activity Worksheet amiable TRANSFER Solves problem involving linear inequalities in two variables Solves a system of linear inequalities in two variables Solves problem involving system of linear inequalities in two variables. Quiz (word problem) Group activity Worksheet Courage Diagnostic test (problem solving) Olympiad problem Think-pair-and share Worksheet Commitment Board rotation Worksheet Commitment Verifies of a given relation is a function Solves a problem involving linear functions. Transforms a statement into an equivalent if-then statement. Uses inductive and deductive reasoning in an argument. Writes proofs (both direct and indirect) Prepared by: Edmond A. Bajado Math Teacher YES or NO card Individual activity Worksheet Excellence Quiz (problem solving) Board work Worksheet Service Written exam (multiple choice) Think pair and share Worksheet Excellence Written exam (argument form) Jigsaw problem solving Worksheet Service Essay (application written exam) Circle the sage Worksheet Excellence Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 8 QUARTER: 3rd QUARTER SUBJECT: MATHEMATICS GRADE LEVEL: 8 Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER III Geometry Demonstrates understanding of key concepts of axiomatic structure of geometry and triangle congruence. - Is able to formulate an organized plan to handle a real-life situation. - is able to communicate mathematical thinking with coherence and clarity in formulating, investigating, analyzing, and solving real-life problems LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION illustrates the need for an axiomatic structure of a mathematical system in general, and in Geometry in particular: (a) defined terms; (b) undefined terms; (c) postulates; and (d) theorems. Concept Map (to illustrate the key concept) illustrates triangle congruence illustrates the SAS, ASA and SSS congruence postulates. Concept Definition Map illustrates postulates Message relay activity (board work) Worksheet amiable (trust skills) (goal-oriented) Worksheet Excellence Worksheet Service (Communication) Individual activity (seatwork) Think-pairshare. puzzle relay Think-pairshare. involving congruent triangles using appropriate and accurate representations MEANING MAKING describes a mathematical system. Quiz (complete the puzzle) buzz group (reporting) proves two triangles are congruent. Written Exam (Essay) Quiz (modified true or false, if false show your solution) Individual Activity Buzz group (graphic organizer) Quiz (prove each of the following problems.) Quiz (proves each of the following problem) Pair group activity. Quiz (problem solving.) Group activity. (5 each members) proves statements on triangle congruence. Pair activity Worksheet respect (goal-oriented) – -Excellence (Critical Thinker) Worksheet Commitment (Social skills) Worksheet Competence Worksheet Respect (Active listening) (Collaboration skills) Worksheet Excellence (Critical thinker) TRANSFER solves corresponding parts of congruent triangles Pair activity applies triangle congruence to Quiz (problem solving) individual activity(Board construct perpendicular lines and angle bisectors. Prepared by: Edmond A. Bajado Math Teacher work) Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 8 SUBJECT: MATHEMATICS GRADE LEVEL: 8 QUARTER: FOURTH QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER IV Geometry Demonstrates understanding of key concepts of inequalities in a triangle, and parallel and perpendicular lines. -is able to communicate mathematical thinking with coherence and clarity in formulating, investigating, analyzing, and solving real life problems involving triangle inequalities, and parallelism and perpendicularity of lines using appropriate and accurate Statistics and Probability Demonstrate understanding of key concepts of probability. LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION illustrates theorems on triangle inequalities (Exterior Angle Inequality Theorem, Triangle Inequality Theorem, Hinge Theorem). Hierarchy diagram (to illustrates theorems) illustrates an experiment, outcome, sample space and event Venn Diagram Individual activity Worksheet Amiable Worksheet Excellence (Critical thinker) buzz group (reporting) Group Activity (puzzle relay) Individual Activity (seatwork) representations. is able to formulate and solve practical problems involving probability of simple events finds the probability of a simple event. Long Quiz (Solving) Brainstormin g(Group Activity) Worksheet Commitment illustrates an experimental probability and a theoretical probability. Hierarchy Diagram Board Rotation(Gro up Activity) Worksheet Respect determines the conditions under which lines and segments are parallel or perpendicular. Long Quiz( Determines the given conditions) Peer review writing task Worksheet Service (Communication) counts the number of occurrences of an outcome in an experiment: (a) table; (b) tree diagram; (c) systematic listing; and (d) fundamental counting principle. 3-minute-spotreport Worksheet Amiable (Goal oriented) applies theorems on triangle inequalities. Quiz (solves the given word problem and figure applying the theorem) Worksheet Nurturing skills MEANING MAKING Message Relay (Group Activity) Circle the sage TRANSFER Group Activity. 5 members (“code word “after defining the proves inequalities in a triangle proves properties of parallel lines cut by a transversal solves problems involving probabilities of simple events Prepared by: Edmond A. Bajado Math Teacher Quiz ( modified true or false, if false show your solution if and only if) Long Quiz (solves the given word problem and figure applying the theorem) proving Long Quiz(Problem solving) word construct a figure and name it.) Group Activity 6 members each group (math Olympiad) Worksheet Pro-active Worksheet Excellence Worksheet Respect Individual Activity (seatwork) Individual Activity (seatwork) Group Activity (Buzz Session) Think pair repeat Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 9 SUBJECT: MATHEMATICS GRADE LEVEL: 9 QUARTER: FIRTS QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER I PATTERNS AND ALGEBRA -demonstrates key concepts of quadratic equations, inequalities and functions, and rational algebraic expression. - is able to investigate thoroughly mathematical relationships in various situations, formulate real-life problems involving quadratic equations, inequalities and functions and rational algebraic equations and solve them using a variety of strategies. LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ON LIN E ACQUISITION Illustrates quadratic equations. a. find the dimension of the bulletin board. Describe the equation formulated. Illustrate quadratic inequalities. b. identify which are quadratic and which are not with explanations. Quiz (identification) Describes the relationship between Find the sum and the product a. draw a diagram to illustrate the bulletin board. Worksheet Love for Knowledge Worksheet Excellence Worksheet Service b. use worksheet (identifying the equations which are quadratic and which are not. Group activity MEANING MAKING Think-pair share the coefficients and the roots of a quadratic equation. Graphs a quadratic function. of roots of quadratic equation. Verify your answers by obtaining the roots of the equation. Drawing graphs Group activity Worksheet Service Worksheet Competence Determines the equation of a quadratic function given; (a) a table of values; (b) graph; (c) zeros. Quiz (determine the equation of a quadratic function) Picture analysis Solves quadratic equations by: (a) extracting square roots; (b) factoring; (c) completing the square; and (d) using the quadratic formula. Characterize the roots of a quadratic equation using the discriminant. Solves equations transformable to quadratic equations (including rational algebraic equations). Long Quiz Group collaboration Worksheet Courage Diagnostic test (problem solving) Completing the table Worksheet Commitment Transform quadratic equation in the form y = ax2 + bx + c. Group activity (transforming quadratic equations in standard form. Worksheet Commitment TRANSFER Solves problems involving quadratic equations and rational algebraic equations. Solves quadratic inequalities Solves problem involving quadratic inequalities. Models real-life situations using quadratic functions. Transform the quadratic function defined by ax2 + bx + c into the form y = a(x – h)2 + k. Analyses the effects of changing the values of h and k in the equation y = a(x – h)2 + k of a quadratic function on its graph. Prepared by: Edmond A. Bajado Math Teacher Quiz (problem solving) Group collaboration (how are quadratic equations used in solving real-life problems and in making decisions. Board work Worksheet Excellence Worksheet Service Group activity Worksheet Excellence Quiz (problem solving) Work in pairs Worksheet Service Rewrite the general form of quadratic function to its standard form using h and k. Finding the zeros of the quadratic functions. INDIVIDUAL ASSESSMENT Worksheet Commitment Pair activity Worksheet Excellence Quiz (problem solving) Finding the diagonal. Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 9 SUBJECT: MATHEMATICS GRADE LEVEL: 9 QUARTER: SECOND QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER II PATTERNS AND ALGEBRA -demonstrate understanding of key concepts of variation and radicals. - is able to formulate and solve accurately problems involving radicals. LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION Illustrates situations that involve the following; (a) direct; (b) inverse; (c) joint; (d) combined. Illustrate expressions with rational exponents. Simplifies radical expressions using the law of radicals. Simplifies expressions with rational exponents Quiz (problem solving) Group activity Worksheet Amiable Simplify the given expression using the law for fractional exponents. Quiz (problem solving) Group activity (work in group of 5 members) Worksheet Excellence Pair activity Worksheets Service Quiz Group activity Worksheet Integrity Transforming the given radical Group activity Worksheet Service MEANING MAKING Writes expressions with rational exponents as radicals and vice versa. Derives the laws of radicals. form into exponential form and vice versa. 1. Transforms each expression to radical form. Individual activity Worksheet Service 2. Write each expression with rational exponent. TRANSFER Translate into variation statement a relationship between two quantities given by: (a) a table of values; (b) a mathematical equation; (c) a graph and vice versa. Solves problems involving variation Applies the laws involving positive integral exponents to zero and negative integral exponents. Performs operations on radical expressions. Solves equation Formulating mathematical equation that represents a given equation. Group collaboration Worksheet Courage Solving real-life problems involving variation Olympiad problem WORK IN PAIRS ( Worded problems) Worksheet Commitment Board rotation Worksheet Commitment Quiz Individual activity (formative test) Worksheet Excellence Quiz (problem Board work Worksheet Service involving radical expressions Solves problems involving radicals. Prepared by: Edmond A. Bajado Math Teacher solving) Quiz (word problem) Work in pairs (problem solving) Worksheet Excellence Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 9 SUBJECT: MATHEMATICS GRADE LEVEL: 9 QUARTER: THIRD QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER III Geometry Demonstrates understanding of key concepts of parallelograms and triangle similarity. Is able to investigate, analyze, and solve problems involving parallelograms and triangle similarity through appropriate and accurate representation. LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION Identifies quadrilaterals that are parallelograms. Illustrates similarity of figures. Pre-assessment (Multiple Choice) Hands- on operation Group activity Worksheet Amiable Pair activity Worksheet Excellence Determines the conditions that make a quadrilateral a parallelogram. Proves theorems on the different kinds of parallelogram (rectangle, rhombus, square). Labeling Labeling Excercise Worksheet Excellence (Critical thinker) Worksheet Amiable MEANING MAKING Proving Labeling exercise Proves the Midline Theorem. Proving Group Activity (Brainstorming) Worksheet Excellence Proves theorems on trapezoids and kites. Proving Activity (Think, Pair and Share) Proves the conditions for similarity of triangles. 39.1 SAS similarity theorem 39.2 SSS similarity theorem 39.3 AA similarity theorem 39.4 right triangle similarity theorem 39.5 special right triangle theorems Describes a proportion. Pre-assessment (Multiple Choice) Group Activity 1 (Brainstorming) Worksheet Commitment Worksheet Respect Essay Question Group Activity (Brainstorming Proves the Pythagorean Theorem Proving Activity (Pythagorean Theorem and It’s Proof) Worksheet Commitment Uses properties to find measures of angles, sides and other quantities involving parallelograms. Solves problems Quiz (Using Properties) Group collaboration Worksheet Courage Long Quiz Activity (Cute Worksheet Commitment Activity 2 (My Decisions Now and Then Later) Proving Activity 3 (AA Similarity Theorem and Its Proof) TRANSFER involving parallelograms, trapezoids and kites. Applies the fundamental theorems of proportionality to solve problems involving proportions. Applies the theorems to show that given triangles are similar. Solves problems that involve triangle similarity and right triangles. Prepared by: Edmond A. Bajado Math Teacher (Problem Solving) Kite) Quiz (Problem solving) Activity 1 (You Complete Me) Worksheet Excellence (Critical thinker) Group Activity 2(Brainstorming) Mini task Activity (Think, Pair and Share) Worksheet Commitment Long Quiz (Problem Solving) Group Activity (Brainstorming Worksheet Service Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 9 SUBJECT: MATHEMATICS GRADE LEVEL: 9 QUARTER: FOURTH QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER IV Geometry Demonstrates understanding of the basic concepts of trigonometry. Is able to apply the concepts of trigonometric ratios to formulate and solve real-life problems with precision and accuracy. LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION Illustrates the six trigonometric ratios: sine, cosine, tangent, secant, cosecant, and cotangent. Pre-assessment (Multiple Choice) Worksheet Activity 1 (Measuring and Calculating) Excellence (Critical thinker) Group Activity 2 (You Complete Me) Illustrates angles of elevation and angles of depression. Illustrates laws of sines and cosines. Practice (How to Solve) Group Activity 1 (Brainstorming) Worksheet Service Written Exam Activity (Think, Pair and Share) Worksheets Commitment Finds the trigonometric ratios Quiz (Problem Solving) Group Activity Worksheet Excellence (Critical thinker) MEANING MAKING of special angles. TRANSFER Uses trigonometric ratios to solve reallife problems involving right triangles. Long Quiz (Problem Solving) Solves problems involving oblique triangles. Long Quiz (Problem Solving) Activity 1 (Think, Pair and Share) Worksheet Courage Worksheet Commitment Activity 2 (Identify Me) Group Activity 1 (Brainstorming) Group Activity 2 (Elevation or Depression) Prepared by: Edmond A. Bajado Math Teacher Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 10 SUBJECT: MATHEMATICS GRADE LEVEL: 10 QUARTER: FIRST QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER I PATTERNS AND ALGEBRA -demonstrate understanding of key concepts of sequences, polynomials and polynomial equation. - is able to formulate and solve problems involving sequences, polynomial and polynomial functions in different disciplines through appropriate and accurate representation. LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION Generate patterns Illustrate an arithmetic sequence Illustrates other types of sequences (e.g., harmonic, Fibonacci) Finds the sum of the terms of an arithmetic sequence Finds the sum of the terms of a given finite and infinite geometric sequence Factors polynomials Diagnostic test (complete the table) Quiz (complete the number series) Diagnostic test (identification) Group activity (reporting) Worksheet Integrity Individual activity Worksheet Excellence Exit slip (individual) Worksheets Respect Quiz (problem solving) Individual activity (seat work) Worksheets Amiable Quiz (problem solving) Think-pair-share Worksheets Respect Short quiz (problem solving) Individual activity Worksheets Commitment Illustrate polynomials equation identification Labelling Quiz bowl Worksheet Excellence MEANING MAKING Differentiate a geometric sequence from arithmetic sequence. Modified true or false Individual activity Worksheet Excellence Differentiate a finite and infinite geometric sequence. Determines arithmetic means and nth term of an arithmetic sequence Short quiz (matching type) Graphic organizer Worksheet Respect Identification Message relay activity (board work) Worksheet Amiable Determines geometric means and nth term of a geometric sequence. Complete the puzzle Puzzle relay Worksheet Respect Solves problem involving sequences Quiz (problem solving) Pair activity Worksheet Service Performs division of polynomials using long division and synthetic division Proves the remainder theorem and the factor theorem. Proves rational root Problem solving Buzz session Worksheet Excellence Quiz (proving) Board rotation Worksheet Commitment Quiz (proving) Documentations Worksheet Excellence TRANSFER theorem. Solves ;polynomial equation Solves problems involving polynomial and polynomial equations. Prepared by: Edmond A. Bajado Math Teacher Short Quiz (simplify) Quiz (problem solving) activity Individual activity Worksheet Excellence Individual activity Worksheet Respect Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 10 SUBJECT: MATHEMATICS GRADE LEVEL: 10 QUARTER: SECOND QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER II PATTERNS AND ALGEBRA -demonstrate understanding of key concepts of polynomial functions. - is able to conduct systematically a mathematically investigation involving polynomial functions in different field. -demonstrate understand of the key concepts of circles and coordinates geometry. -is able to formulate and find solutions to challenging situations involving circles and other related terms in different discipline through appropriate and accurate representations. LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION Illustrates polynomial functions. Illustrate secants, tangents, segments, arch, central angles and inscribed angles Derives the distance formula. Illustrate the centerradius form of the equation f a circle. Diagnostic test (identification) Individual activity Worksheet Critical thinker Diagnostic test (labeling) Group activity (math Olympiad) Worksheet Excellence Complete the procedure Construct a figure base on guided problem then form as an equation. Pair activity worksheets Respect Picture analysis worksheets Respect Graph polynomial functions. Graph the given polynomial functions. Pair activity Worksheet Service Determine the center Quiz (solve the Individual activity Worksheet Excellence MEANING MAKING and radius of a circle given its equation and vice versa. Graphs a circle and other geometric figure on the coordinate plane. word problems and the given figure) Plots the points and graphs. (seatwork) Group activity (reporting) Worksheet Respect TRANSFER Solves problem involving polynomial functions Quiz (word problem) Buzz session Worksheet Service Proves theorem related to chords, arch, central angles and inscribed angles Proves theorems on secant, tangents, and segments. Solves problem on circle Applies the distance formula to prove to some geometric properties. Proving Individual activity (seatwork) Worksheet Excellence Quiz (modified true or false) Individual activity (seatwork) Worksheet Excellence Olympiad problem Quiz (solve the problem applying the distance formula) Quiz (problem, solving) Group activity (problem solving) Individual activity Worksheet Respect Worksheet Respect Pair activity Worksheet Respect Solves problems involving geometric figure in the coordinate figure. Prepared by: Edmond A. Bajado Math Teacher Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 10 SUBJECT: MATHEMATICS GRADE LEVEL: 10 QUARTER: THIRD QUARTER Quarter/ Month UNIT TOPIC: CONTENT CONTENT STANDARD PERFORMANC E STANDARD QUARTER III Statistics and Probability The learner demonstrates understanding of key concepts of measures of position. The learner is able to conduct systematically a mini-research applying the different statistical methods. 1.Quartiles 2. Deciles and Percentiles 3. Box plot LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION Board works and mini quiz bee Illustrates the following measures of position: quartiles, deciles and percentiles. Calculates a specified measure of position (e.g. 90th percentile) of a set of data. Quiz (Multiple Choice) Problem solvingQuartiles, Deciles and Percentiles Board Works Interprets measures of position. identification Pair activity Worksheet show participation in class Worksheet Commitment Worksheet Service MEANING MAKING Formulates statistical miniresearch. Quiz Individual activity (seatwork) Worksheet Excellence TRANSFER Prepared by: Edmond A. Bajado Math Teacher Solves problems involving measures of position. Quiz (Problem solving) Buzz session Worksheet Service Uses appropriate measures of position and other statistical methods in analyzing and interpreting research data. Written Exam ( Solving and Statement form) Think-pair-andshare Worksheet Excellence Checked by: Ms. Mineva M. Dulfo Elem/HS Coordinator Mater Divinae Gratiae College Picardo Airport, Dolores Eastern Samar SY 2022-2023 CURRICULUM MAP IN MATHEMATICS 10 SUBJECT: MATHEMATICS GRADE LEVEL: 10 Quarter/ Month QUARTER IV UNIT TOPIC: CONTENT Statistics and Probability 1.Permutation 2. Combination 3. Events and its Operation 4. Probability of Compound Events QUARTER: FOURTH QUARTER CONTENT STANDARD PERFORMANC E STANDARD The learner demonstrates understanding of key concepts of combinations and probability The learner is able to use precise counting technique and probability in formulating conclusions and making decisions. LEARNING COMPETENCIES (AMT LEARNING GOALS) ASSESSMENT ACTIVITIES RESOURCES INSTITUTIONAL CORE VALUES OFFLINE ONLINE ACQUISITION illustrates the permutation of objects Differentiating permutation and combination Board Works Group works in solving Worksheet Illustrates combination of objects. Illustrates events and union and intersection of events. Illustrates the probability of a union of two events. Oral Recitations in formula Finding the intersection of events Board Works Worksheet realize the importance of permutation and combination in real life situation Commitment Group Actvity Worksheet Excellence Finding the union of events Board works Worksheet Service MEANING MAKING Permutation of my Name”- how many ways can they arranged the letters of their names? “Selection Ways”problems involving combination Worksheet Service Quiz Group presentations in solving given problems Worksheet Excellence Illustrating by the use of Venn Diagram Shading the required operation using Venn Diagram Worksheet Improve their comprehension in solving problems. Problem solving: Permutation And combination Quiz (Solving problem involving combinations Pair activity Worksheet Service Think-pair-andshare Worksheet Excellence Derives the formula for finding the number of permutations of n objects taken r at a time. Derives the formula for finding the number of combinations of n objects taken r at a time. Differentiates permutation from combination of n objects taken r at a time. Finds the probability of (𝐴∪𝐵). Quiz (Problem Solving) solves problems involving permutations. Quiz TRANSFER Solves problems involving permutations and combinations. and permutations) solves problems involving probability Prepared by: Edmond A. Bajado Math Teacher problem solving- finding probability Group activitygetting the probability of the given problems Worksheet Excellence Checked by: Ms. Mineva M. Dulfo