5th Grade Advanced Math Curriculum - St Ann School：第五级高等数学课程-圣安学校

5th Grade Advanced Math Curriculum - St Ann School：第五级高等数学课程-圣安学校 5th Grade Advanced Math Curriculum The Fifth Grade Math Program is designed with the goal that students would learn and remember various computation and problem solving skills and basic number theory that build a strong foundation in mathematics. It is taught incrementally with continued practice, helping to ensure that students will not forget them. Numbers Students will: • Count sequences and whole numbers • Write and identify digits and place value through hundred millions • Know even and odd numbers • Write dollars and cents • Read and write whole numbers in expanded notation • Identify prime numbers • Recognize negative numbers Addition Students will: • Add one digit numbers • Solve missing numbers in addition • Solve "some and some more" word problems and know the addition algorithm • Add dollars and cents Subtraction Students will: • Know subtraction facts and fact families • Solve missing numbers in subtraction • Solve "some, went away" word problems and know the subtraction algorithm • Subtract dollars and cents • Solve larger, smaller, difference word problems Multiplication Students will: • Know the multiplication facts • Multiply to perform repeated addition • Multiply one digit numbers (2+ factors) • Multiply two digit numbers • Multiply three digit numbers • Solve missing numbers in multiplication • Solve equal groups stories and know the multiplication algorithm • List factors of whole numbers • Multiply by multiples of 10 and 100 • Estimate answers involving multiplication • Find the greatest common factor of two numbers • Find the least common multiple of two numbers Division Students will: • Learn the terms divisor, dividend, and quotient • Know the division facts and algorithm • Learn three ways to show division , Division box , Division bar , Division sign • Divide and write remainders • Divide improper fractions and write the remainder as a fraction • Divide with zeros in the quotient • Learn what is half of an odd number • Know short division • Compute averages • Divide by multiples of 10 • Estimate answers involving division • Divide by two digit numbers Fractions Students will: • Recognize and read fractions • Draw fractions • Read fractions on a number line • Compare fractions • Draw and recognize mixed numbers • Add and subtract fractions with common denominators • Add and subtract whole numbers, fractions, and mixed numbers together • Recognize fractions equal to a whole number • Subtract fractions from a whole number • Change improper fractions and improper mixed numbers to whole or mixed numbers • Multiply fractions • Identify equivalent fractions • Find equivalent fractions by dividing or multiplying by a whole • Multiply fractions and whole numbers • Divide fractions • Reduce fractions and fraction answers • Convert and reduce improper fractions • Write the reciprocal of a fraction • Round mixed numbers to the nearest whole number • Learn ratios • Name a simple probability • Write mixed numbers as improper fractions • Add and subtract fractions with out common denominators • Add and subtract mixed numbers with out common denominators • Multiply mixed numbers Decimals Students will: • Know decimal place value through thousandths • Read and write decimals through thousandths • Name decimals on a number line • Compare decimal numbers • Write equivalent decimals • Write money in two forms: cents and dollars • Add and subtract decimals • Add and subtract decimals and whole numbers • Simplify decimals • Round decimals to the nearest whole number • Multiply decimal numbers • Divide decimal numbers Percents Students will: • Use percents to name part of a group • Write a percent as a fraction • Learn about probability and chance Problem Solving Students will: • Know the order of operations • Read and write time from a clock • Solve word problems involving fractions and percents • Read and write lengths (customary and metric) • Convert/simplify units of length, weight, mass, and liquid measures • Solve problems using the directions of a compass • Solve word problems involving addition, subtraction, multiplication and division Geometry Students will: • identify and define: point, ray, line, angle, acute angle, obtuse angle, right angle, straight angle, polygon, quadrilateral, square, parallelogram, trapezoid, rhombus, triangle, pentagram, hexagon, octagon, parts of a circle, types of prisms and pyramids, cone, sphere, cylinder. , classify angles by their measure , classify polygons , classify quadrilaterals. • Draw and use symbols for pairs of lines that are o Parallel o Intersecting o Perpendicular • Draw and name angles with letters • Calculate the perimeter of polygons • Name line segments • Calculate areas of rectangles , triangles, parallelograms, and circles Calculate surface area of cubes and rectangular prisms Calculate volume of cubes and rectangular prisms choose appropriate units of measurement for time, length, capacity, mass and weight in standard and metric systems. add and subtract customary units of time, length and weight. Materials , Holt Middle School Math - Course I ; student and teacher editions, and supplementary materials , compass, protractor , ruler , math manipulatives , overhead projector , Smart board , coordinate boards , geo-boards , dice, coins, spinners , graph paper , master rulers • Instruction These topics are presented through various methods and strategies such as… • Whole class instruction • Use of manipulative • Drawing out the problems • Practice exercises • Games • Small, cooperative group work • Individual instruction (if needed) • Written assignments and assessments