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Maths curriculum – I class Here is a list of all of the skills students learn in the I class! The skills are organized into categories. Number theory 1. 2. 3. 4. 5. 6. Prime or composite Prime factorization Multiplicative inverses Divisibility rules Greatest common factor and Least common multiple Classify numbers Decimal numbers 1. 2. 3. 4. Decimal numbers review Compare and order decimals Decimal number lines Round decimals Operations with decimals 1. 2. 3. 4. 5. Add and subtract decimals Multiply decimals and Divide decimals Estimate sums, differences, and products of decimals Multi-step inequalities with decimals Simplify expressions involving decimals Integers 1. 2. 3. 4. 5. Understanding integers Integers on number lines Absolute value and opposite integers Compare and order integers Integer inequalities with absolute values Operations with integers 1. 2. 3. 4. 5. 6. 7. Integer addition and subtraction rules Add and subtract integers Complete addition and subtraction sentences with integers Integer multiplication and division rules Multiply and divide integers Complete multiplication and division sentences with integers Simplify expressions involving integers Fractions and mixed numbers 1. 2. 3. 4. 5. 6. 7. Equivalent fractions Simplify fractions Least common denominator Compare and order fractions Convert between mixed numbers and improper fractions Compare mixed numbers and improper fractions Round mixed numbers Operations with fractions 1. 2. 3. 4. 5. Add and subtract fractions Inequalities with addition and subtraction of fractions and mixed numbers Estimate sums and differences of mixed numbers Multiply fractions and Divide fractions Divide mixed numbers Rational numbers 1. 2. 3. 4. 5. 6. 7. Identify rational numbers Convert between decimals and fractions or mixed numbers Absolute value of rational numbers Compare rational numbers Put rational numbers in order Add and subtract rational numbers Multiply and divide rational numbers Percents 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. What percentage is illustrated? Convert between percents, fractions, and decimals Compare percents to fractions and decimals Estimate percents of numbers Percents of numbers and money amounts Percents of numbers: word problems Solve percent equations Percent of change Compare percents to fractions and decimals Find what percent one number is of another Find what percent one number is of another: word problems Estimate percents of numbers Percents of numbers and money amounts Percents of numbers: word problems Compare percents of numbers Solve percent equations Percent of change Consumer math 1. 2. 3. 4. 5. Unit prices: find the total price Percent of a number: tax, discount, and more Find the percent: tax, discount, and more Sale prices: find the original price, find the total price Multi-step problems with percents Geometry 1. 2. 3. 4. 5. 6. 7. 8. 9. Lines, line segments Parallel, perpendicular, intersecting Name, measure, and classify angles Identify complementary, supplementary, vertical, adjacent, and congruent angles Find measures of complementary, supplementary, vertical, and adjacent angles Transversal of parallel lines Classify triangles Classify quadrilaterals Find missing angles in triangles and quadrilaterals 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. Identify and classify polygons Interior angles of polygons Similar and congruent figures Similar figures: side lengths and angle measures Similar figures and indirect measurement Congruent figures: side lengths and angle measures Congruence statements and corresponding parts Perimeter Area of rectangles and parallelograms Area of triangles and trapezoids Area and perimeter: word problems Parts of a circle Circles: calculate area, circumference, radius, and diameter Find lengths and measures of bisected lines and angles Front, side, and top view Names and bases of 3-dimensional figures Nets of 3-dimensional figures Surface area Volume Perimeter, area, and volume: changes in scale Transformations 1. 2. 3. 4. 5. 6. 7. Identify reflections, rotations, and translations Translations: find the coordinates Reflections: graph the image Reflections: find the coordinates Rotations: graph the image Rotations: find the coordinates Symmetry Pythagorean theorem 1. 2. 3. 4. Pythagorean theorem: find the length of the hypotenuse Pythagorean theorem: find the missing leg length Pythagorean theorem: word problems Converse of the Pythagorean theorem: is it a right triangle? Coordinate graphs 1. 2. 3. Points on coordinate graphs Quadrants and axes Coordinate graphs as maps Variable expressions 1. 2. 3. 4. 5. Write variable expressions Evaluate single-variable expressions Evaluate multi-variable expressions Evaluate variable expressions for numerators and denominators Add and subtract like terms Properties 1. 2. 3. 4. Properties of addition and multiplication Distributive property Simplify variable expressions using properties Solve equations using properties Single-variable equations 1. 2. 3. 4. 5. Does x satisfy the equation? Model and solve equations using algebra tiles Solve one-step linear equations Solve two-step linear equations Solve equations involving like terms Ratios and proportions 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. Understanding ratios Equivalent ratios Equivalent ratios: word problems Compare ratios: word problems Unit rates Do the ratios form a proportion? Do the ratios form a proportion: word problems Solve proportions Estimate population size using proportions Rate of change Constant rate of change 12. Scale drawings and scale factors Proportional relationships 1. 2. 3. 4. 5. 6. Identify proportional relationships Find the constant of variation: graphs Find the constant of variation: word problems Graph a proportional relationship Write an equation for a proportional relationship Proportional relationships: word problems Inequalities 1. 2. 3. 4. Inequalities on number lines Solutions to variable inequalities Solve one-step linear inequalities Solve two-step linear inequalities Linear functions 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. Identify proportional relationships Find the constant of variation Does (x, y) satisfy the equation? Evaluate a function Complete a function table Write a rule for a function table Find points on a function graph Graph a line from a function table Graph a line from an equation Linear function word problems Find the slope of a graph Find slope from two points Find slope from an equation Graph a line using slope Identify linear and nonlinear function Maths curriculum – II class Exponents and roots 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. Understanding exponents Evaluate exponents Exponents: solve for the variable Exponents with negative bases Exponents with decimal and fractional bases Understanding negative exponents Evaluate negative exponents Multiplication with exponents Division with exponents Multiplication and division with exponents Power rule Simplify expressions involving exponents Square roots of perfect squares Positive and negative square roots Estimate positive and negative square roots Relationship between squares and square roots Evaluate variable expressions involving squares and square roots Cube roots of perfect cubes Estimate cube roots Scientific notation 1. 2. 3. 4. Convert between standard and scientific notation Compare numbers written in scientific notation Multiply numbers written in scientific notation Divide numbers written in scientific notation Monomials and polynomials 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. Identify monomials Model polynomials with algebra tiles Add and subtract polynomials using algebra tiles Add and subtract polynomials Add polynomials to find perimeter Multiply monomials Divide monomials Multiply and divide monomials Powers of monomials Square and cube roots of monomials Multiply polynomials using algebra tiles Multiply polynomials Multiply polynomials to find area Pythagorean theorem 5. Pythagorean theorem: find the length of the hypotenuse 6. 7. 8. Pythagorean theorem: find the missing leg length Pythagorean theorem: word problems Converse of the Pythagorean theorem: is it a right triangle? 3D space 1. Names and parts of 3-dimensional figures 2. Nets of 3-dimensional figures 3. Surface area of prisms and cylinders 4. Surface area of pyramids and cones 5. Volume of prisms and cylinders 6. Volume of pyramids and cones 7. Volume and surface area of spheres 8. Similar solids 9. Volume and surface area of similar solids 10. Perimeter, area, and volume: changes in scale Statistics 1. 2. 3. 4. 5. 6. Calculate mean, median, mode, and range Interpret charts to find mean, median, mode, and range Mean, median, mode, and range: find the missing number Changes in mean, median, mode, and range Quartiles Identify representative, random, and biased samples