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Curriculum Outline 2C20Ce

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Question: GRADE: 7 \nPERIOD: I \nTOPIC: ARITHMETIC SKILLS \n8. Even, odd, prime and composite numbers \n9. Factors and factoring \n10. Divisibility rule \n11. LCM, GCF, LCD \n12. Squares and square roots \n\nGRADE: 7 \nPERIOD: II \nTOPIC: FRACTIONS \n1. Operations on fractions \n2. Fractional parts of numbers \n3. Combining and simplifying complex fractions \n4. Ratio and proportion written as fractions \n5. Solve word problems on ratio and proportion \n\nGRADE: 7 \nPERIOD: III \nTOPIC: DECIMALS, PERCENTS AND FRACTIONS \n1. Conversion of decimal to percent, fraction and conversely.\n2. Commission and discounts\n3. Simple interest, profit and loss \nTaxes and royalty. \n\nGRADE: 7 \nPERIOD: IV \nTOPIC: BASIC ALGEBRA \n1. Operations of addition, subtraction, multiplication and division on signed numbers \n2. Positive and negative integers \n3. Basic algebraic expressions and variables: a. variable \nb. constant \nc. co-efficient \nd. exponents \n4, Algebraic expressions and formulas \n5, Solving and graphing linear open sentences in one variable. \n6, Evaluation of algebraic expression and formulas \n\nGRADE: 7 \nPERIOD: V\nConstruction \nA. Kinds of polygons \nB. Perimeters and areas of polygon \nAngles \nBisect line segments and angles \nGRADE: 7 \nPERIOD: VI \nTOPIC: Co-ordinate Geometry\n1. Solid geometry \na. Surface areas of polygons. \nb. Volume of polygons \n2. Co-ordinate geometry; \na. integers, negative and positive (number line) b. co-ordinate point \nb. graph of open sentences in one variable \n\nGRADE: 8 \nPERIOD: I \nUNIT: I \nTOPIC: OPERATIONS ON RATIONAL NUMBERS AND NUMBER THEORY\n1. Operations on Rational numbers: \nAdding and subtracting whole numbers, decimals, fractions and integers. \na. Multiply and divide whole numbers, decimals, fractions and integers. \n2. Problems involving operations \n3. Prime factorization \n4. Exponents operations \n- Prime factorization \n- Exponents \n\nGRADE: 8 \nPERIOD: II \nTOPIC: BASIC ALGEBRAIC EXPRESSIONS AND FORMULAS\n1. Order of Operations \n2. Algebraic Expressions \n3. Using formulas \n4. Adding and subtracting monomials, binomials and trinomials \n5. Multiplying and dividing monomials, binomials and trinomials ( laws of indices ) \n6. Equations involving inequalities \n7. Solve verbal problems involving algebraic expressions \n\nGRADE: 8 \nPERIOD: III \nTOPIC: PERCENT, PROPORTION AND RATES\n1. Fractions, Decimals and Percent \n2. The three parts of percent \n3. Simple interest \n4. Discount and commission \n5. Percent gain or loss \n6. Rates and unit rates \n7. Word problems involving percent, using proportion to solve problems involving scale drawing (map and actual distance) \n\nGRADE: 8 \nPERIOD: IV \nTOPICS: 1. APPLICATION OF ALGEBRAIC CONCEPTS \n2. RELATIONS AND FUNCTIONS\n1. Number problem \n2. Age problems \n3. Coin problems \n4. Geometry problems \n5. Relation and functions \n6. Graphing linear inequalities \n7. Polynomials \na. Adding and subtracting polynomials \nb. Multiplying polynomials by monomials, onomials and binomials \n\nGRADE: 8 \nPERIOD: V \nTOPIC: GEOMETRY AND MEASUREMENT\n1. Angle relationship \na. Vertical angles \nb. Adjacent angles \nc. Complementary and supplementary angles \n2. Simple polygons (sum of interior angles of regular polygons) \n3. Construction of angles and triangles by using (SAS, ASA, SSS) \n4. Area of trapezoid \n5. Surface area of prisms \n6. Conversion of metric units (selected units) \n\nGRADE: 8 \nPERIOD: VI \nTOPIC: PROBABILITY, STATISTICS AND TRIGONOMETRY\n1. Frequency tables and Histograms \n2. Measures of variability (range, variance and standard deviation) \n3. Making and interpreting graphs( double bar , line , and circle) \n4. Experiments with games of chance \n5. Probability of an event( simple, independent, dependent) \n6. Solving problems using Pythagoras Theorem \n\nGRADE: 9 \nPERIOD: I \nTOPIC: ARITHMETIC\n6. Rational and irrational numbers \n7. Ratio, proportion and percent \n8. Variation, speed and rate of work problems \n9. Simple and compound interest \n10. Using Geometry formulas \n11. Density and rational numbers \n\n\nGRADE: 9 \nPERIOD: II \nTOPIC: BASIC ALGEBRA\n1. Law of Indices \n2. Simplifying radicals \n3. Converting radicals to exponents \n4. Adding and subtracting polynomials \n5. Multiplying \na. polynomials by monomials \nb. Binomials by binomials \n6. Dividing polynomials by binomials \n7. Factoring difference of two squares \n8. Exponential expressions and radical expressions \n\nGRADE: 9 \nPERIOD: III \nTOPIC: RELATIONS AND FUNCTIONS\n1. Cartesian Product \n2. Relations and Functions \n3. Domains and Ranges \n4. Linear Function in one variable ( graphs) \n5. Slope of a line given two points \n6. Solving problems involving linear functions in one variable \n7. Linear functions in two variables \n8. Equation and graph of a line given its slope and y-intercept. \n\nGRADE: 9 \nPERIOD: IV \nTOPIC: GEOMETRY\n1. Parallel and perpendicular lines \n2. Properties of regular polygons \n3. Finding the sum of interior and external angles of regular polygons \n4. Construction of triangles using SSS, SAS or ASA \n5. Construction of parallelograms \n6. Similar Triangles \n7. Types of angles: \n8. Vertical angles \n9. Adjacent angles \n10. Complementary and supplementary angles \n\nGRADE: 9 \nPERIOD: V \nTOPIC: A. TRIGONOMETRY \nB. MEASUREMENT\n1. The Pythagorean Theorem \n2. Application of Pythagorean Theorem \n3. Sine, cosine and tangent of acute angles \n4. Trigonometric Tables \n5. Applications of sine, cosine and tangent ratios. \n6. Angles of elevation and depression \n7. Converting metric units and customary units \n8. Teacher will guide learners in groups on the application of sine, cosine and tangent ratios. \n9. Use liter cup, medicine dropper, rulers and yardstick to determine the ratio using metric units and customary units of length and capacity. \n\nGRADE: 9 \nPERIOD: VI\n1. Frequency table and Histograms \n2. Measures of central tendency ( mode, median and mean) \n3. Measure of variability( range, variance and standard variation) \n4. Stem and leaf plot \n5. Box and whisker plot \n6. Scatter plot \n7. Combination \n8. Permutation \n9. Permutation \n10. Combination
1. The user provided a detailed list of topics and subtopics for grades 7 to 9 across various periods and subjects including arithmetic, algebra, geometry, fractions, decimals, percents, probability, statistics, and trigonometry.\n\n2. Since no specific question was asked, the first distinct problem or question is not present. The user message is a curriculum outline.\n\n3. Therefore, no mathematical problem to solve is given.\n\n4. If you have a specific question or problem from these topics, please provide it for detailed solution steps.