Math 7B

COURSE DESCRIPTION: Math 7B is a course designed to help students to:

Review the arithmetic operations to insure mastery.
Develop skills and attitudes that will enable the student to interpret and utilize mathematics in real life situations.
Acquire the habit of straight thinking in the solution of problems.
Acquire accuracy and facility in fundamental processes through sufficient drill material.
Prepare for the first course in Algebra

COURSE GOALS AND OBJECTIVES: In Math 7B, the student will be able to:

Compare and order whole numbers, fractions, integers and decimals
Round whole numbers and decimals.
Solve simple word problems.
Solve addition, subtraction, multiplication and division equations.
Add, subtract, multiply and divide whole numbers, fractions, integers and decimals.
Find the measure of angles.
Classify geometric shapes according to their properties.
Find the perimeter or circumference of a figure.
Find the area of a rectangle, a square, a parallelogram, a triangle, a trapezoid, or a circle.
Solve problems using patterns or formulas.
Determine factors and greatest common factors.
Write fractions as mixed numbers, and mixed numbers as fractions.
Write rates, ratios and proportions.
Solve proportions.
Use information from scale drawings or maps.
Solve problems involving proportions and comparing costs.
Write fractions and decimals as percents; write percents as fractions and decimals.
Find the percents of numbers, the percent one number is of another, and numbers when percentages are shown.
Write and solve percent equations; determine simple interest.
Determine percents of change, tax rates.
Apply problems by organizing information into charts or graphs, using logic.
Identify congruent and symmetrical figures; construct angles and bisectors.
Classify space figures; find the surface area of a prism, a pyramid or a cylinder.
Find the volume of a prism or a cylinder.
Find the probability of an event.
Find the range, mean, median, and mode of numbers.
Interpret double bar graphs, double line graphs, and frequency tables.

Chapter	Competencies	Assessment
Chapter 1 Numeration and Units of Measure	The student will be able to compare and order whole numbers and decimals as well as round whole numbers and decimals.	Lecture Class discussion Class problems Individual problems Homework Quizzes Tests
Chapter 2 Addition and Subtraction of Whole Numbers and Decimals	The student will be able to solve addition and subtraction equations with whole numbers and decimals. He will learn how to estimate sums and differences. The student will be able to distinguish whether the information given is enough, too much or too little when solving problems. When given enough or too much information, he will be to organize the given information and find solutions to problems.	Lecture Class discussion Class problems Individual problems Homework Quizzes Tests
Chapter 3 Multiplication and Division of Whole Numbers and Decimals	The student will be able to solve multiplication and division equations involving whole numbers and decimals. He will learn how to write numbers using exponents, as well as estimate products and quotients. Solving multi-step problems and solving problems using estimation will also be introduced	Lecture Class discussion Class problems Individual problems Homework Quizzes Tests
Chapter 4 Geometry, Perimeter, Area	The student will be able to find the measures of angles as well as classify geometric shapes according to their properties. He will be able to calculate the perimeter, circumference of a figure as well as find the area of a rectangle, a square, a parallelogram, a triangle, a trapezoid, or a circle.	Lecture Class discussion Class problems Individual problems Homework Quizzes Tests
Chapter 5 Number Theory and Developing Fractions	The student will be able to determine factors and greatest common factors. He will also compare and order fractions, write fractions as mixed numbers and mixed numbers as fractions. Writing fractions as decimals and decimals as fractions will also be introduced. He will be asked to solve open-ended problems and solve problems using estimation	Lecture Class discussion Class problems Individual problems Homework Quizzes Tests
Chapter 6 Addition and Subtraction of Fractions	The student will be able to add and subtract fractions as well as mixed numbers.	Lecture Class discussion Class problems Individual problems Homework Quizzes Tests
Chapter 7 Multiplication and Division of Fractions	The student will be able to multiply and divide fractions and mixed numbers. He will determine the reciprocal of a number	Lecture Class discussion Class problems Individual problems Homework Quizzes Tests
Chapter 9 Ratio and Proportion	The student will be able to write rates, ratios and proportions. He will also solve problems involving proportions and comparing costs. Using information from scale drawings or maps will also be introduced. He will identify and determine measures of corresponding sides of similar triangles; using similar triangle applications.	Lecture Class discussion Class problems Individual problems Homework Quizzes Tests
Chapter 10 Percents	The student will be able to write fractions and decimals as percents; write percents as fractions and decimals. He will solve problems with consumer applications. The student will also find percents of numbers, the percent one number is of another, and numbers when percentages are known. He will solve problems by simplifying them.	Lecture Class discussion Class problems Individual problems Homework Quizzes Tests
Chapter 11 Percents and Consumer Applications	The student will write and solve percent equations; determine simple interest, determine percents of change, tax rates, markup, and commission. He will solve problems by organizing information into charts. The student will also be introduced to circle graphs.	Lecture Class discussion Class problems Individual problems Homework Quizzes Tests
Chapter 13 Geometry, Surface Area, Volume	The student will identify congruent and symmetrical figures, and construct angles and bisectors. He will classify space figures; find the surface area of a prism, a pyramid or a cylinder. He will also find the volume of a prism or a cylinder and solve problems by sorting, classifying or by drawing diagrams	Lecture Class discussion Class problems Individual problems Homework Quizzes Tests
Chapter 14 Probability and Statistics	The student will find the probability of an event. He will find the range, mean, median, and mode of numbers. He will solve problems using a sample, interpret double bar graphs, double line graphs, and frequency tables.	Lecture Class discussion Class problems Individual problems Homework Quizzes Tests

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