Advanced Math

 7th Grade Mathematics Syllabus  
2nd Nine Weeks

	In Chapter 5, Percent, your child will learn about ratios, percents, the percent proportion, 
estimating percent, the percent equation, percent of change, and simple interest. 
	In Chapter 6, Geometry, your child will learn about parallel lines, polygons, reflections, 
symmetry, congruency, similarity, and transformations. 
	In Chapter 7, Measuring Area and Volume, you will learn how to calculate areas of polygons and 
circles and find surface areas and volumes of prisms, cylinders, pyramids, and cones.
	In Chapter 8, Probability, you will learn to count outcomes using a tree diagram, and to find 
theoretical and experimental probability.  You will also learn how to predict the actions of a large 
group by using a sample. 
	In these chapters, your child will complete a variety of daily classroom assignments and 
activities and possibly a chapter project.

Real World Problem Solving
	Many people feel math is a series of procedures that are memorized in order to solve a 
particular type of problem. In our math class, however, we involve students with what they learn in 
class by applying the concepts to real-world situations. For instance, during our intensive study of 
ratios, proportions, and percents we will discuss grocery shopping, scale models, and discounts. 
	We see geometric patterns everywhere. The tile in your house might be a pattern of squares, or 
you might find a series of parallel lines in the fabric of your favorite chair. Knowing how to apply 
geometric concepts can help us make proportional drawings, design room layouts, and construct 
buildings.
	Learning about geometry is exciting because geometric shapes are everywhere! From the food 
we eat to the things we build, geometric shapes influence us. Knowing how to find the areas and 
volumes of these shapes helps us make decisions such as the amount of material we need to 
construct an object or the amount of liquid we need to fill a container. These types of decisions are 
made in almost every industry.
	You will now have the opportunity to study combinations and probability. It is often useful to 
know how many different ways we can combine items. You can determine how many different 
sandwich choices you have. Knowing how to find probability can help you make choices when 
deciding what to do in a real-world situation. 
	“When am I ever going to use this stuff?” Students in math classes often ask this question. Too 
often, math seems to be a series of procedures that one learns and then uses to solve a particular 
type of problem—without having any application to the real world. In our math class, however, we try 
to take mathematics beyond the classroom to a point where students will realize and appreciate its 
importance in their daily lives.

Chapter Overview 
 
Chapter 5 Percent
5-1 Ratios and Percents SPI 5.1
5-2 Fractions and Decimals SPI 5.1
5-3 Percent proportion SPI 5.1
5-4 Finding percents SPI 5.1
5-5 Percent in estimation SPI 5.1
5-6 Percent equation SPI 5.1
5-7 Percent of change SPI 5.1
5-8 Simple interest SPI 5.1
Chapter 6 Geometry
6-1 Angle relationships SPI 4.1, SPI 4.2
6-2 Triangles and angles SPI 4.1, SPI 4.2 
6-4 Classifying quadrilaterals 0706.4.4
6-5 Congruent Polygons SPI 4.1
Chapter 7 Measuring Area and Volume
7-1 Area of Parallelograms, Triangles, and Trapezoids SPI 4.2
7-2 Circumference and Area of Circles SPI 4.3 
7-3 Area of Complex Figures SPI 4.3
7-4 Three-Dimensional Figures SPI 4.3
 7-5 Volume of Prisms and Cylinders SPI 4.3
7-6 Volume of Pyramids and Cones SPI 4.3  
Chapter 8 Probability
8-1 Probability of Simple Events SPI 5.4
8-2 Counting Outcomes SPI 5.4
8-5 Probability of Compound Events SPI 5.4 
8-6 Experimental Probability SPI 5.4
8-7 Using Sampling to Predict SPI 5.4 

Essential Questions
*How can we use mathematical language, symbols, and definitions to develop mathematical 
reasoning?
*How can we use the language of math to express mathematical ideas precisely?
*How can we develop independent reasoning to communicate ideas and derive algorithms and 
formulas?
*How does the historical development of mathematics aid in the comprehension of math in the real 
world?  

Syllabus is subject to change during the nine weeks grading period.
•	Class projects will be announced during the nine weeks.
•	There will be a cumulative test at the end of each nine-week grading period.
•	At least one writing assignment will be given each week.