Math 4th Grade Syllabus 数学四年级教学计划
Text Book 教材 :
Prepared by theteacher (Reference book for teacher: (1) SAXONMath homeschool 6th grade;(2) TAKS Study Guide for Grade 5 and Grade 6 Math)
Objectives andOutlines 教学重点
1. To enhancestudents' basic math skills and enable them to advance ahead of his or herclass in the regular school.
2. To help students understand the basic concepts underlying math operations.
3. To perform a lot of math drills in the classroom and make them fun too.
4. To teach and improve students' skills in multiplication and division withmultidigit numbers.
5. To teach the concepts of fractions and decimals, their relationship andoperations involving addition, subtraction, multiplication and division.
6. To use the learned math skills to solve word problems.
Fall Semester 第一学期（秋季）课程安排
Teaching Week 课次

Content 教学内容

Week 1 第一周

Evaluation test
(including addition, subtraction, multiplication, and division for whole number, fraction, and decimal, etc.)

Week 2 第二周

Review place values; Review addition, subtraction, multiplication, and division for whole numbers, fractions, and decimals; Compare numbers (including decimals).
(References: (1) SAXONMath Lesson 2, 12, 34, 37, 39, 45; (2) TAKS p.11~p.19)

Week 3 第三周

Find missing numbers in addition and subtraction (whole number, fractions, decimals).
(References: (1) SAXONMath Lesson 3, 43;)

Week 4 第四周

Find missing numbers in multiplication and division (whole number, fractions, decimals).
(References: (1) SAXONMath Lesson 4, 43, 87;)

Week 5 第五周

Order of operations for addition, subtraction, multiplication and division.
(References: (1) SAXONMath Lesson 5, 84;)

Week 6 第六周

Number line: ordering and comparing; Negative numbers; Fractions and mixed numbers.
(References: (1) SAXONMath Lesson 9, 14, 17, 44;)

Week 7 第七周

MidTerm Exam 期中复习、考试

Week 8 第八周

Review factors, prime numbers, and greatest common factors (GCF).
(References: (1) SAXONMath Lesson 19, 20; (2) TAKS p.19~21)

Week 9 第九周

Review divisibility by 2, 3, 4, 5, 6, 9, 10
(References: (1) SAXONMath Lesson 21;)

Week 10 第十周

Least common multiple (LCM); Reciprocals; (References: (1) SAXONMath Lesson 30;)

Week 11 第十一周

Prime factorization; Division by primes; Factor trees; Using prime factorization to reduce fractions; (References: (1) SAXONMath Lesson 65, 67;)

Week 12 第十二周

Addition and subtraction of fractions with common and different denominators, mixed numbers.
(References: (1) SAXONMath Lesson 24, 26, 36, 55, 56, 57, 59, 61, 62, 63;)

Week 13 第十三周

Relationship between fraction and division; Writing division answers as mixed numbers; Simplifying fractions (review); Multiplying fractions by 1; Dividing mixed numbers;
(References: (1) SAXONMath Lesson 25, 29, 42, 66, 68, 70, 72;)

Week 14 第十四周

Final Review期末复习

Week 15 第十五周

Final Exam 期末考试

Spring Semester第二学期（春季）课程安排
Teaching Week 课次

Content 教学内容

Week 1 第一周

Review operations with multiplication and division for fractions and decimals.
(References: (1) SAXONMath Lesson 49, 50, 52, 54, ;)

Week 2 第二周

Probability and chance
(References: (1) SAXONMath p.484~p.488, p.541~p.545; Lesson 58; (2) TAKS p.91~98)

Week 3 第三周

Squares and square roots; Exponents; Operations with exponents; Powers of fractions;
(References: (1) SAXONMath Lesson 38, 73, 92;)

Week 4 第四周

Percent; Writing fractions and decimals as percent; Writing percent as fractions;
(References: (1) SAXONMath Lesson 33, 41, 75, 94, 99, 115;)

Week 5 第五周

Ratio; Proportion; Using cross products to solve proportions;
(References: (1) SAXONMath Lesson 23, 83, 85, 88;)

Week 6 第六周

Measurements: Lines, segments, and rays; Time; Money; Rounding decimals;
(References: (1) SAXONMath Lesson 7, 51; (2) TAKS p.69~73)

Week 7 第七周

MidTerm Exam 期中复习、考试

Week 8 第八周

Geometry: Triangles; Rectangles; Perimeter, Angles; Measuring and drawing angles with a protractor;
(References: (1) SAXONMath Lesson 8, 28; p.159~p.162)

Week 9 第九周

Geometry: Area of triangles, rectangles, squares, circles;
(References: (1) SAXONMath Lesson 79, 31, 86, 91, 107;)

Week 10 第十周

Geometry: Circumference of circles; Polygons; Sum of the angle measures of triangles and quadrilaterals;
(References: (1) SAXONMath Lesson 47, 60, 98; )

Week 11 第十一周

Geometry: Attributes of geometric solids; Volume of a cube and a rectangular prism; Capacity; Volume of a Cylinder;
(References: (1) SAXONMath p322~p.326; Lesson 78, 82, 120; (2) TAKS p.76~77)

Week 12 第十二周

Arithmetic with units of measure; Measure weight, mass, time, temperature; Convert units of measurement;
(References: (1) SAXONMath Lesson 81; (2) TAKS p.78~86)

Week 13 第十三周

Adding and subtracting mixed measures;
(References: (1) SAXONMath Lesson 113;)

Week 14 第十四周

Final Review期末复习

Week 15 第十五周

Final Exam 期末考试
