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7th Grade Curriculum 2010


Math Curriculum for Grade Level – 7

Rationale:  Students are assessed at varying points during the year, however, concepts are practiced with ongoing maintenance throughout the year to provide students time to process and master what they learn in preparation for the state assessment.

State Assessment: MA 7.1  Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 7.1.1 Number System:  Students will represent and show relationships among rational numbers.

MA 7.1.1a  Students will show equivalence among fractions, decimals and percents.

Practice/Maintenance:  Lessons 8-120

Assessed Local:  Performance task 2-19

Assessed State Level:  Yes

MA 7.1.1b Students will compare and order rational numbers.

Practice/Maintenance:  Lessons 4-100

Assessed Local:  Cumulative Assessment 1-4,7,11

Assessed State Level:  Yes

MA 7.1.1.c Students will represent large numbers using scientific notation.

Practice/Maintenance:  Lessons 47-120

Assessed Local:  Cumulative Assessment 10,11,14,17-20,23
           
Assessed State Level:  Yes

MA 7.1.1d Students will classify numbers as natural, whole, integer, or rational.

Practice/Maintenance:  Lessons 86-91,95,98,10,106,114,119

Assessed Local:  Cumulative Assessment 18,19               

Assessed State Level:  No

MA 7.1.1e Students will find least common multiple and greatest common divisor given two numbers.

Practice/Maintenance:  Lessons 6-17, 21-93, 111-117

Assessed Local:  Cumulative Assessment 2-15,19

Assessed State Level:  No

MA 7.1.2 Operations: Students will demonstrate the meaning of arithmetic operations with positive fractions, decimals, and integers.

MA 7.1.2a Students will use drawings, words, and symbols to explain the meaning of multiplication and division of fractions.

Practice/Maintenance:  Lessons 9-81, 95,103,108,110,110

Assessed Local: Cumulative Assessment 2-14

Assessed State Level:  No

MA 7.1.2b Students will use drawings, words, and symbols to explain the meaning of multiplication and division of decimals.

Practice/Maintenance:  Lessons 35-91, 94, 109, 111, 116, 120

Assessed Local: Cumulative Assessment 7-14

Assessed State Level: No

MA 7.1.2c Students will use drawings, words, and symbols to explain the meaning of multiplication and division of decimals.

Practice/Maintenance:  Lesson 59-84, 91-95

Assessed Local:  Cumulative Assessment 13-17

Assessed State Level:  No

MA 7.1.3 Computation: Students will compute fluently and accurately using appropriate strategies and tools.

MA 7.1.3a  Students will compute accurately with integers.

Practice/Maintenance:  Lessons 1-120

Assessed Local: Cumulative Assessment 1-23

Assessed State Level: Yes

MA 7.1.3b Students will select, apply, and explain the method of computation when problem solving using integers and positive rational numbers.

Practice/Maintenance:  Lessons 1-120

Assessed Local: Cumulative Assessments 1-15, 17-23

Assessed State Level: Yes

MA 7.1.3c Students will solve problems involving percent of numbers.

Practice/Maintenance:  Lessons 60-114

Assessed Local:  Cumulative Assessment 12-23

Assessed State Level: Yes

MA 7.1.4 Estimation: Students will estimate and check reasonableness of answers using appropriate strategies and tools.

MA 7.1.4a Students will use estimation methods to check the reasonableness of solutions for problems involving integers and positive rational numbers.

Practice/Maintenance:  Lessons 29-79, 89-100

Assessed Local: Cumulative Assessment 4, 6, 11

Assessed State Level: Yes

State Assessment MA 7.2  Students will communicate geometric concepts and measurements concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 7.2.1 Characteristics:  Students will describe, compare, and contrast characteristics, properties, and relationships of geometric shapes and objects.

MA 7.2.1a Students will identify and describe similarity of two-dimensional shapes using side and angle measurements.

Practice/Maintenance:  Lessons 96-99, 104-105, 108, 110-120

Assessed Local:  Cumulative Assessment 4, 21, 22

Assessed State Level: No

MA 7.2.1b Students will name line, line segment, ray, and angle.

Practice/Maintenance:  Lesson 7- 119

Assessed Local: Cumulative Assessment 2-9, 13, 18, 20, 22, 23

Assessed State Level: No

MA 7.2.2 Coordinate Geometry:  Students will specify locations and describe relationships using coordinate geometry.

MA 7.2.2a Students will plot the location of an ordered pair in the coordinate plane.

Practice/Maintenance:  Lessons 31-120

Assessed Local: Cumulative Assessment 6, 7, 9

Assessed State Level: Yes

MA 7.2.2b Students will identify the quadrant of a given point in the coordinate plane.

Practice/Maintenance:  Lessons 31-120

Assessed Local:  Cumulative Assessment 6, 7, 9

Assessed State Level: No

MA 7.2.2c Students will find the distance between points along horizontal and vertical lines of a coordinate plane.

Practice/Maintenance:  Lessons 31-120

Assessed Local:  Cumulative Assessment 6, 7, 9

Assessed State Level:  Yes

MA 7.2.3  Transformations:  Students will use transformations and symmetry to analyze geometric shapes.

MA 7.2.3a  Students will identify lines of symmetry for a reflection.

Practice/Maintenance:  Lessons 58-73, 80-98, 120

Assessed Local:  Performance Task 3

Assessed State Level: No

MA 7.2.3b Students will perform and describe positions and orientation of shapes under a single transformation.

Practice/Maintenance:  Lessons 58-73, 80-98, 110-120

Assessed Local: Cumulative Assessment 16

Assessed State Level: Yes

M7.2.4 Spatial Modeling:  Students will use visualization to create geometric models in solving problems.

MA 7.2.4a Students will identify the shapes that make up the three-dimensional object.

Practice/Maintenance:  Lessons 67-105

Assessed Local: Cumulative Assessment 14

Assessed State Level:  No

MA 7.2.4b Students will create two-dimensional representations of three-dimensional objects to visualize and solve problems.

Practice/Maintenance:  Lessons 21-34, 42-58, 64, 66, 82

Assessed Local:  Cumulative Assessment 5,6

Assessed State Level: No

MA 7.2.4c Students will draw angles to given degrees.

Practice/Maintenance:  Lessons 21-34, 42-58, 64, 66, 82

Assessed Local:  Cumulative Assessment 5, 6

Assessed State Level:  No

MA 7.5 Measurement:  Students will select and apply appropriate procedures, tools, and formulas to determine measurements.

MA 7.2.5a Students will measure angles to the nearest degree.

Practice/Maintenance:  Lessons 7-119

Assessed Local:  Cumulative Assessments 2-9, 18, 20, 23

Assessed State Level: No

MA 7.2.5b Students will determine the area of trapezoids and circles, and the circumference of circles.

Practice/Maintenance:  Lessons 37-117

Assessed Local:  Cumulative Assessments 8-18, 20

Assessed State Level: Yes

MA 7.2.5c Students will recognize the inverse relationship between the size of a unite and the number of units used when measuring.

Practice/Maintenance:  Lessons 70 - 120

Assessed Local: Cumulative Assessment 14-15, 17-20

Assessed State Level: No

State Assessment MA 7.3 Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.

MA 7.3.1 Relationships:  Students will represent and analyze relationships using algebraic symbols.

MA 7.3.1a Students will describe and create algebraic expressions from words, tables, and graphs.

Practice/Maintenance:  Lessons 1-120

Assessed Local:  Cumulative Assessments 1-13, 21

Assessed State Level: Yes

MA 7.3.1b Students will use a variable to describe a situation with an inequality.

Practice/Maintenance:  Lessons 78-85, 90-102, 119

Assessed Local:  Cumulative Assessments 16, 17

Assessed State Level: Yes

MA 7.3.1c  Students will recognize and generate equivalent forms of simple algebraic expressions.

Practice/Maintenance:  Lessons 71-120

Assessed Local: Cumulative Assessments 14-18

Assessed State Level: No

MA 7.3.2 Modeling in Context:  Students will create, use, and interpret models of quantitative relationships.

MA 7.3.2a Students will model contextualized problems using various representations.

Practice/Maintenance:  Lessons 1-120

Assessed Local: Cumulative Assessment 1, 3-7, 18, 19, 21-23

Assessed State Level:  Yes

MA 7.3.2b Students will represent a variety of quantities relationships using algebraic expressions and one-step equations.

Practice/Maintenance:  Lessons 1-120

Assessed Local:  Cumulative Assessment 1, 3-7, 18, 19, 21-23

Assessed State Level: Yes

MA 7.3.3 Procedures:  Students will apply properties to solve equations and inequalities.

MA 7.3.3a Students will explain additive inverse of addition.

Practice/Maintenance:  Lessons 64-66, 72, 75, 87, 90-116

Assessed Local: Cumulative Assessment 13, 17

Assessed State Level: No

MA 7.3.3b Students will use symbolic representation of the distributive property.

Practice/Maintenance:  Lessons 41-68, 88-120

Assessed Local:  Cumulative Assessments 9, 20

Assessed State Level: No

MA 7.3.3c  Students will – given the value of the variable(s), evaluate algebraic expressions with respect to order of operations.

Practice/Maintenance:  Lessons 41-119

Assessed Local: Cumulative Assessments 9, 11-16, 18, 20-23

Assessed State Level: Yes

MA 7.3.3d Students will solve two-step equations involving integers and positive rational numbers.

Practice/Maintenance:  Lessons 93-120

Assessed Local:  Cumulative Assessment 19-21, 23

Assessed State Level: Yes

MA 7.3.3e Students will solve one-step inequalities involving positive rational numbers.

Practice/Maintenance:  Lessons 78-102, 119

Assessed Local: Cumulative Assessment 16, 17

Assessed State Level: Yes

MA 7.3.3f Students will identify and explain the properties used in solving two-step equations.

Practice/Maintenance:  Lessons 93-120

Assessed Local: Cumulative Assessment 19-21, 23

Assessed State Level: No

State Assessment MA 7.4 Students will communicate date analysis/probability concepts using multiple representations.

MA 7.4.1 Display and Analysis:  Students will formulate questions that can be addressed with data and then organize, display, and analyze the relevant data to answer their questions.

MA 7.4.1.a Students will analyze data sets and interpret their graphical representations.

Practice/Maintenance:  Lessons 38, 39, 42, 45, 47, 48, 51, 53, 59, 66, 77

Assessed Local: Cumulative Assessment 9

Assessed State Level: Yes

MA 7.4.1b Students will find and interpret mean, median, mode, and rand for sets of data.

Practice/Maintenance:  Lessons 28-100

Assessed Local: Cumulative Assessment 6-10, 13, 15, 17, 22, 23

Assessed State Level: Yes

MA 7.4.1c Students will explain the difference between a population and a sample.

Practice/Maintenance:  Lesson 38

Assessed Local: Cumulative Assessment 9

Assessed State Level: No

MA 7.4.1.d Students will list biases that may be created by various data collection processes.

Practice/Maintenance:  Lesson 38

Assessed Local: Performance Task 7

Assessed State Level: No

MA 7.4.1e Students will formulate a question about a characteristic within one population that can be answered by a simulation or a survey.

Practice/Maintenance:  Lesson 38

Assessed Local: Performance Task 7

Assessed State Level: No

MA 7.4.2 Predictions and Inferences:  Students will evaluate predictions and make inferences based on data.

MA 7.4.2a Students will determine if data collected from a sample can be used to make predictions about a population.

Practice/Maintenance:  Lesson 38

Assessed Local: Performance Task 7, 10, 19

Assessed State Level: No

MA 7.4.3 Probability:  Students will apply and interpret basic concepts of probability.

MA 7.4.3a Students will find the probability of independent compound events.

Practice/Maintenance:  Lessons 36-120

Assessed Local:  Cumulative Assessment 8-10, 12

Assessed State Level: Yes

MA 7.4.3b Students will compare and contrast theoretical and experimental probabilities.

Practice/Maintenance:  Lessons 83-88, 100-120

Assessed Local:  District Made Assessment

Assessed State Level: Yes