Elizabethtown Area School District 7th Grade Math Name of Course

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1 7th Grade Math Name of Course Course Number: N/A Grade Level: 7 Length of Course: full year Total Clock Hours: 150 hours Length of Period: 49 minutes Date Written: Periods per Week/Cycle: 5/week Credits (if app.): Written By: 7th Grade Math Department Course Description: The seventh grade mathematics course thoroughly integrates all NCTM curriculum standards. The course uses technology, projects, writing, and common assessments to assure the following topics are covered: problem solving, statistics, fractions and decimal operations, number patterns, ratios, proportions, percents, geometry and algebraic concepts. page 1

2 I. Overall Course/Grade Level s Students will KNOW and be able TO DO the following as a result of taking this course. A. Solve word problems and evaluate expressions. B. Compute and convert decimals. C. Create and analyze graphic organizers. D. Understand and utilize number systems. E. Understand and compute with integers. F. Write and solve equations and inequalities. G. Compute fractions. H. Use formulas to find the area of a variety of figures. I. Use proportions to convert and calculate percents. J. Classify geometric figures and find missing angles/sides of polygons. page 2

3 II. Content Major Areas of Study List all units of study below: Unit Estimated Time Materials 1. Problem Solving 16 days text, calculator, 2. Decimals 15 days text, calculator, 3. Statistics 45 days text, calculator, 4. Number Systems 18 days text, calculator, 5. Integers 16 days text, calculator, 6. Equations/Functions 20 days text, calculator, 7. Fractions 22 days text, calculator, 8. Area 12 days text, calculator, 9. Percents 22 days text, calculator, 10. Proportions 15 days text, calculator, 11. Geometry 16 days text, calculator, page 3

4 Name of Course: 7th Grade Math Name of Unit: Problem Solving Essential Question for the Unit: How do we choose and utilize strategies for problem solving? A. What are the four steps of problem solving? C A 2.5 B. How do you evaluate expressions using the order of operations? C. What are the steps to evaluate algebraic expressions? D. How do you use powers and exponents in expressions? C A, B 2.1 C A, E, F 2.8 C A, D 2.2 E. What are the steps to solving one-step equations? C A, F 2.8 F. G. H. I. J. page 4a

5 Name of Course: 7th Grade Math Name of Unit: Decimals Essential Question for the Unit: How are decimals used in our measurement and monetary systems? A. How do you order and compare decimals? C B, D 2.1 B. What are the rules for rounding decimals? C B 2.1 C. What are the rules for multiplying decimals? C B 2.2 D. How do you divide decimals? C B 2.2 E. How do you convert a fraction into a decimal? C B, G 2.1 F. How do you convert a decimal into a fraction? C B, G 2.1 G. How do you write a number in scientific notation? E B, D 2.1 H. I. J. page 4b

6 Name of Course: 7th Grade Math Name of Unit: Statistics Essential Question for the Unit: How do graphic organizers make it easier to convey information? A. How do you create and read a frequency table? E C 2.6 B. How do you create and read a double bar/double line graph? E C 2.6 C. How do you create and read a line plot? E C 2.6 D. How do you find the mean, median, and mode of a set of data? C C, D 2.6 E. What are the steps to create a stem and leaf plot? E C 2.6 F. What are the steps to constructing a box and whisker plot? E C 2.6 G. H. I. J. page 4c

7 Name of Course: 7th Grade Math Name of Unit: Number Systems Essential Question for the Unit: How does understanding number systems help us to solve problems? A. What are the divisibility rules? C A, C, D 2.1 B. How is the prime factorization of a number determined? C. What are the various types of sequences and how are they found? C C, D 2.1 I D 2.11 D. How do you find the greatest common factor? C C, D 2.1 E. What are the steps to writing a fraction in simplest form? C C, D 2.1 F. How is a ratio written in percent form? C C, D, I 2.1 G. How is a percent written in fraction form? C C, D, I 2.1 H. How do you find the least common multiple? C C, D 2.1 I. What is the method for ordering and comparing decimals? C B, D 2.1 page 4d

8 Name of Course: 7th Grade Math Name of Unit: Integers Essential Question for the Unit: Where are integers found and how are they used in our everyday lives? A. What are integers? E D, E 2.1 B. What is absolute value? E D, E 2.1 C. What is the process for ordering and comparing integers? E D, E 2.11 D. What are the main parts of the coordinate system? E C, D, E 2.8 E. How do you write an ordered pair and plot it on the coordinate system? E C, D, E 2.8 F. What are the rules for adding integers? E E 2.2 G. What are the rules for subtracting integers? E E 2.2 H. What are the rules for multiplying and dividing integers? E E 2.2 page 4e

9 Name of Course: 7th Grade Math Name of Unit: Equations/Functions Essential Question for the Unit: How are equations and functions used to solve problems? A. How are basic addition and subtraction equations solved? C B, G, E, F 2.8 B. How are basic multiplication equations solved? C B, G, E, F 2.8 C. What is the process of solving two-step equations? E B, G, E, F 2.8 D. What is the process to writing algebraic expressions and equations from verbal phrases and sentences? E A, F 2.8 E. How are inequalities solved? E B, G, E, F 2.8 F. How are functions represented as ordered pairs? I C, F 2.8 G. How are equations (functions) with two variables solved? E C, F 2.8 H. How is the solution to an equation graphed? I C, F 2.8 I. J. page 4f

10 Name of Course: 7th Grade Math Name of Unit: Fractions Essential Question for the Unit: How are fractions used in building and measuring? A. How are sums, differences, products, and quotients of fractions estimated? C D, G 2.2 B. How are fractions added and subtracted? E A, G 2.2 C. How are mixed numbers added and subtracted? E A, G 2.2 D. How are fractions and mixed numbers multiplied? E A, G 2.2 E. How are units in the customary system changed? I A, G 2.3 F. How is perimeter calculated? C A, G 2.3 G. How is the circumference of a circle calculated? C A, G 2.3 H. What are the three addition and multiplication C A, D, G 2.1 properties? How are these properties used to solve problems? I. How are fractions and mixed numbers divided? E A, G 2.2 page 4g

11 Name of Course: 7th Grade Math Name of Unit: Area Essential Question for the Unit: Why are formulas essential to measurement? A. How do you find squares of numbers, square roots and perfect squares? E D, H 2.3 B. How are estimates of square roots found? E D, H 2.3 C. How is the Pythagorean Theorem used in finding lengths? E H, J 2.3 D. How is the area of irregular figures found? I A, H 2.3 E. How are areas of triangles and trapezoids calculated? E A, H, J 2.3 F. What are the steps for finding area of circles? E H 2.3 G. How can area models be used to predict probability? I A, H 2.3 H. I. J. page 4h

12 Name of Course: 7th Grade Math Name of Unit: Percents Essential Question for the Unit: How do we use proportions to calculate and convert percents? A. How are percents estimated using fractions and decimals? B. What is the method for solving problems using the percent equation? C. What are the important components for making a circle graph? D. What information is used when making predictions? E B, D, G, I 2.1 E F, I 2.2 E C, I 2.2 C A, I 2.1 E. How is the percent of increase or decrease found? I F, I 2.2 F. What is the method for calculating discount or sales tax? I A, F, I 2.2 G. How is simple interest calculated? C A, F, I 2.2 H. I. J. page 4i

13 Name of Course: 7th Grade Math Name of Unit: Proportions Essential Question for the Unit: Where are ratios and proportions found and how are they used? A. What is a ratio? How are ratios expressed as a fraction? C D, G 2.2 B. How are unit rates calculated? E I 2.2 C. How are proportions solved? C I 2.2 D. How are problems involving scale drawing solved? C A, I 2.2 E. How are fractions converted to percents and percents to fractions? F. How are decimals converted to percents and percents to decimals? E B, G, I 2.2 E B, I 2.2 G. How is a percent of a number calculated? E B, F, I 2.2 H. What is the percent proportion and how is it calculated? E I 2.8 I. J. page 4j

14 Name of Course: 7th Grade Math Name of Unit: Geometry Essential Question for the Unit: What occupations use geometry and how? A. How are angles classified? C J 2.9 B. How are polygons identified? C J 2.9 C. How is a missing length of similar polygons found? E A, J 2.9 D. How are triangles and quadrilaterals classified? C J 2.9 E. What is a tessellation? Which regular figures can be used to form a tessellation? F. How are (Escher-like) drawings created using translations? G. How are (Escher-like) drawings created using reflections? C J 2.9 C C, J 2.9 C C, J 2.9 H. I. J. page 4k

15 III. Course Assessments Check types of assessments to be used in the teaching of the course. (Provide examples of each type.) x Objective Tests/Quizzes x Constructed Responses Essays Reports x Projects Portfolios x Presentations x Performance tasks x Response Journals Logs Computer Simulations Research Papers x Class Participation x Notetaking x Daily Assignments Writing Samples Provide copies of common assessments that will be utilized for all students taking this course. Overall course/grade level standards will be measured by a common course assessment. Unit objectives will be measured on an ongoing basis as needed by the classroom teacher to assess learning and plan for instruction. List common assessements below and recommended date/time frame for administration (at least quarterly). Name of Common Assessment When given? 1. Quarterly tests End of quarter 2. Pre / Post tests Start and end of year page 5

16 IV. Expected levels of achievement Current grading scale: = A = B = C = D Below 65 = F PA Proficiency Levels Advanced Proficient Basic Below Basic Attach rubrics, checklists, or other documentation noting how levels of proficiency will be determined for common assessments. The following scoring documents have been developed for this course: page 6

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