Math 5th Grade Syllabus 数学五年级教学计划 (2015-2016)

Text Book 参考教材

Saxon Math Home School 7/8 Grade; Pre-algebra, algebra, and geometry

Objectives and Outlines 教学重点

Further broaden student’s mathematics knowledge and improve their problem analysis and solving

skills. Basic requirements for this class include full class participation, taking class notes and having all

the homework completed in time. Delayed homework will not be accepted and graded. It is important

to keep up with the class pace. In case you are absence of a class for any reasons, it is your

responsibility to obtain and complete the missed assignments. Subject will change based on feedback

from students and their parents without prior notice. Please keep in mind the best way to learn

mathematics is practice and more practice!

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 of student’s knowledge and skills of basic mathematics such as

order of operation for integers and real numbers

Review of number systems; absolute value; arithmetic axioms or properties

such as commutative, associative, and distributive properties; and order of

operation for real numbers

Week 2 第二周

Algebraic expressions and properties including commutative, associative,

especially distributive property; simplifying algebraic expressions

Week 3 第三周

Introduction of the concept of equations. Writing expressions and

equations. Understand additive inverse or opposite

Solving equations by addition or subtraction property of equality

Week 4 第四周

Understand multiplicative inverse or reciprocal. Solving equations by

multiplication or division property of equality

Week 5 第五周

Solving multi-step equations by undoing the operations in reverse order or

working backward

Week 6 第六周

Solving equations that contain grouping symbols by removing the

parentheses using the distributive property

Solving equations with variables on each side by using the addition or

subtraction property of equality to write an equivalent equation with

variable on one side

Week 7 第七周

Mid-term Exam (optional)

Week 8 第八周

Review the concept of absolute value of a real number. Solving equations

involving absolute value or absolute equations

Week 9 第九周

Review ratio and proportion. Solving proportion equations by finding cross

products. Solving percent problems by solving equations

Week 10 第十周

Solving systems of equations by substitution and elimination using addition

and subtraction

Week 11 第十一周

Solving systems of equations by elimination using multiplication and division

Week 12 第十二周

Powers and exponents concepts; multiplication and division of powers

Week 13 第十三周

Power of a power; power of a product; negative exponents

Week 14 第十四周

Scientific notation; multiplication and division of numbers in scientific

notation

Week 15 第十五周

Final Exam

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

Monomials and polynomials. Adding and subtracting polynomials. Multiplying and dividing monomials

Week 2 第二周

Multiplying a polynomial by a monomial. Multiplying binomials and special products

Week 3 第三周

Simplifying rational expressions. Multiplying and dividing rational expressions

Week 4 第四周

Combining rational expressions with like denominators and unlike denominators

Week 5 第五周

Solving rational equations by following the steps below:

Step 1 Find the LCD of all terms. Step 2 Multiply each side of the equation

by the LCD. Step 3 Use the Distributive Property to simplify.

Week 6 第六周

Geometry basics including angle classification; angel and line relationships

such as parallel and perpendicular

Week 7 第七周

Mid-term (optional)

Week 8 第八周

Classification of triangles by angels and sides. Triangle property of angles

and sides；Sum of the measures of internal angles of triangles and how to

use it for solving geometric problems

Week 9 第九周

The Pythagorean Theorem of right triangles and the converse of the

Theorem as well as how to use them for solving geometric problems

Week 10 第十周

Special triangles (45-45-90 and 30-60-90), and how to use special triangle

property to solve geometric problems

Week 11 第十一周

Classify quadrilaterals and their properties. Sum of the measures of internal

angles of quadrilaterals

Week 12 第十二周

Perimeter and area of parallelograms, triangles, and trapezoids

Week 13 第十三周

Area and circumference of circles

Week 14 第十四周

Area of composite figures

Week 15 第十五周

Final Exam