Math Curriculum for Grade Level – 8
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 8.1 Students will communicate number sense concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 8.1.1 Number System: Students will represent and show relationships among real numbers.
MA 8.1.1a Students will compare and order real numbers.
Practice/Maintenance: Lessons 1-39, 49, 54, 92, 93
Assessed Local: Cumulative Assessment 1, 2
Assessed State Level: Yes
MA 8.1.1b Students will demonstrate relative position of real numbers on a number line.
Practice/Maintenance: Lessons 1-39, 49, 54, 92, 93
Assessed Local: Cumulative Assessment 1, 2
Assessed State Level: No
MA 8.1.1.c Students will represent small numbers using scientific notation.
Practice/Maintenance: Lessons 51, 53, 58, 59, 79, 118
Assessed Local: Cumulative Assessment 11-14
Assessed State Level: Yes
MA 8.1.1d Students will classify numbers as natural, whole, integer, or rational, irrational, or real.
Practice/Maintenance: Lessons 10-37, 49, 73,78, 90-100, 110
Assessed Local: Cumulative Assessment 4, 18,19, 20
Assessed State Level: Yes
MA 8.1.2 Operations: Students will demonstrate the meaning of arithmetic operations with integers.
MA 8.1.2a Students will use drawings, words, and symbols to explain the meaning of addition, subtraction, multiplication, and division of integers.
Practice/Maintenance: Lessons 2-120
Assessed Local: Cumulative Assessment 1-4, 6-10, 12, 14, 17, 19, 20, 22, 23
Assessed State Level: No
MA 8.1.2b Students will use words and symbols to explain the zero property of multiplication.
Practice/Maintenance: Lessons 2-32
Assessed Local: Cumulative Assessment 1-3
Assessed State Level: No
MA 8.1.2c Students will use words and symbols to explain why division by zero is undefined.
Practice/Maintenance: Lesson 116
Assessed Local: Cumulative Assessment 116, 117
Assessed State Level: No
MA 8.1.3 Computation: Students will compute fluently and accurately using appropriate strategies and tools.
MA 8.1.3a Students will compute accurately with rational numbers.
Practice/Maintenance: Lessons 1-120
Assessed Local: Cumulative Assessment 1-23
Assessed State Level: Yes
MA 8.1.3b Students will evaluate expressions involving absolute value of integers.
Practice/Maintenance: Lessons 1-60, 70-93
Assessed Local: Cumulative Assessments 1, 2, 7, 9 , 10, 14, 19
Assessed State Level: Yes
MA 8.1.3c Students will solve problems involving percent of numbers.
Practice/Maintenance: Lessons 15-120
Assessed Local: Cumulative Assessment 3-8, 10, 13-23
Assessed State Level: No
MA 8.1.3d Students will select, apply, and explain the method of computations when problem solving using rational numbers.
Practice/Maintenance: Lessons 1-20
Assessed Local: Cumulative Assessment 1-23
Assessed State Level: Yes
MA 8.1.3e Students will solve problems involving ratios and proportions.
Practice/Maintenance: Lessons 30-117
Assessed Local: Cumulative Assessment 6-10, 12, 15, 20, 23
Assessed State Level: Yes
MA 8.1.4 Estimation: Students will estimate and check reasonableness of answers using appropriate strategies and tools.
MA 8.1.4a Students will use estimation methods to check the reasonableness of solutions for problems involving rational numbers.
Practice/Maintenance: Lessons 17-39, 73, 87
Assessed Local: Cumulative Assessment 4
Assessed State Level: Yes
State Assessment MA 8.2 Students will communicate geometric concepts and measurements concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 8.2.1 Characteristics: Students will describe, compare, and contrast characteristics, properties, and relationships of geometric shapes and objects.
MA 8.2.1a Students will identify and describe similarity of three-dimensional objects.
Practice/Maintenance: Lesson 108
Assessed Local: Investigation 4
Assessed State Level: No
MA 8.2.1b Students will compare and contrast relationships between similar and congruent objects.
Practice/Maintenance: Lesson 22-120
Assessed Local: Cumulative Assessment 4, 7, 12-14, 19
Assessed State Level: No
MA 8.2.1c Students will identify geometric properties of parallel lines cut by a transversal and related lines (Perpendicular and parallel lines with transversals) and angles (corresponding, alternate interior, and alternate exterior).
Practice/Maintenance: Lessons 54-72, 95, 101, 105
Assessed Local: Cumulative Assessment 11, 13
Assessed State Level: Yes
MA 8.2.1d Students will Identify pairs of angles (adjacent, complementary, supplementary, vertical).
Practice/Maintenance: Lessons 54-72, 95, 101, 105
Assessed Local: Cumulative Assessment 11, 13
Assessed State Level: Yes
MA 8.2.1e Students will examine the relationships of the interior angles of a triangle (sum of the angles is 180 degrees)
Practice/Maintenance: Lessons 20-115
Assessed Local: Cumulative Assessment 4-6, 9, 13, 23
Assessed State Level: Yes
MA 8.2.2 Coordinate Geometry: Students will specify locations and describe relationships using coordinate geometry.
MA 8.2.2a Students will use coordinate geometry to represent and examine the properties of rectangles and squares using horizontal and vertical segments.
Practice/Maintenance: Lessons 17-40, 51-54, 60, 86, 91-93
Assessed Local: Cumulative Assessment 3, 4
Assessed State Level: Yes
MA 8.2.3 Transformations: Students will perform transformations and use them to analyze the orientation and size of geometric shapes.
MA 8.2.3a Students will identify the similarity of dilated shapes.
Practice/Maintenance: Lessons 22-85, 110, 116, 10
Assessed Local: Cumulative Assessment 6, 7, 12
Assessed State Level: No
MA 8.2.3b Students will perform and describe positions and sizes of shapes under dilations.
Practice/Maintenance: Lessons 87-114
Assessed Local: Cumulative Assessment 18-22
Assessed State Level: No
M8.2.4 Spatial Modeling: Students will use visualization, special reasoning, and geometric modeling to solve problems.
MA 8.2.4a Students will draw geometric objects with specified properties.
Practice/Maintenance: Lessons 56, 57, 60, 87, 92, 94, 97, 103, 109
Assessed Local: Cumulative Assessment 11, 15
Assessed State Level: No
MA 8.2.5 Measurement: Students will select and apply appropriate procedures, tools, and formulas to determine measurements.
MA 8.2.5a Students will use strategies to find the perimeter and area of complex shapes.
Practice/Maintenance: Lessons 8-114
Assessed Local: Cumulative Assessments 2-4, 6, 8, 10-13, 15-18, 23
Assessed State Level: No
MA 8.2.5b Students will determined surface area and volume of three-dimensional objects (rectangular prisms, cylinders).
Practice/Maintenance: Lessons 43-119
Assessed Local: Cumulative Assessments 9-14, 16-22
Assessed State Level: No
MA 8.2.5c Students will apply the Pythagorean theorem to find missing lengths in right triangles and to solve problems.
Practice/Maintenance: Lessons 21-117
Assessed Local: Cumulative Assessment 5, 6, 9, 10, 13-17, 23
Assessed State Level: Yes
MA 8.2.5d Students will use scale factors to find missing lengths in similar shapes.
Practice/Maintenance: Lessons 91-114
Assessed Local: Cumulative Assessment 19-22
Assessed State Level: Yes
MA 8.2.5e Students will convert between metric and standard units of measurement, given conversion factors (meters to yards)
Practice/Maintenance: Lessons 6-18, 21, 24, 28, 38, 41, 46, 83
Assessed Local: Cumulative Assessment 2
Assessed State Level: No
State Assessment MA 8.3 Students will communicate algebraic concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 8.3.1 Relationships: Students will represent and analyze relationships using algebraic symbols.
MA 8.3.1a Students will represent and analyze a variety of patterns with tables, graphs, words, and algebraic equations.
Practice/Maintenance: Lessons 41-118
Assessed Local: Cumulative Assessments 9, 11, 14-17, 20-23
Assessed State Level: No
MA 8.3.1b Students will use a variable to describe a situation with an inequality.
Practice/Maintenance: Lessons 21-120
Assessed Local: Cumulative Assessments 5, 10-23
Assessed State Level: Yes
MA 8.3.1c Students will identify constant slope from tables and graphs.
Practice/Maintenance: Lessons 45-88, 96, 104, 111-120
Assessed Local: Cumulative Assessments 13, 14, 16, 22, 23
Assessed State Level: No
MA 8.3.2 Modeling in Context: Students will create, use, and interpret models of quantitative relationships.
MA 8.3.2a Students will model contextualized problems using various representations. (two-step/one-step equations)
Practice/Maintenance: Lessons 21-120
Assessed Local: Cumulative Assessment 5, 10-23
Assessed State Level: Yes
MA 8.3.2b Students will represent a variety of quantities relationships using algebraic expressions and two-step/one variable equations.
Practice/Maintenance: Lessons 21-120
Assessed Local: Cumulative Assessment 5, 10-23
Assessed State Level: No
MA 8.3.3 Procedures: Students will apply properties to solve equations and inequalities.
MA 8.3.3a Students will explain the multiplicative inverse.
Practice/Maintenance: Lessons 22-71, 86, 88, 113, 114
Assessed Local: Cumulative Assessment 5-7, 9
Assessed State Level: No
MA 8.3.3b Students will evaluate numerical expressions containing whole number exponents.
Practice/Maintenance: Lessons 15-120
Assessed Local: Cumulative Assessments 3-8, 10, 13-15, 19-23
Assessed State Level: Yes
MA 8.3.3c Students will solve multi-step equations involving rational numbers.
Practice/Maintenance: Lessons 50-120
Assessed Local: Cumulative Assessments 10-15, 17-21, 23
Assessed State Level: Yes
MA 8.3.3d Students will solve two-step inequalities involving rational numbers.
Practice/Maintenance: Lessons 77-117
Assessed Local: Cumulative Assessment 16, 17
Assessed State Level: Yes
MA 8.3.3e Students will identify and explain the properties used in solving two-step inequalities and multi-step equations.
Practice/Maintenance: Lessons 38-120
Assessed Local: Cumulative Assessment 8-21, 23
Assessed State Level: No
State Assessment MA 8.4 Students will communicate data analysis/probability concepts using multiple representations to reason, solve problems, and make connections within mathematics and across disciplines.
MA 8.4.1 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 8.4.1.a Students will represent data using circle graphs and box plots with and without the use of technology.
Practice/Maintenance: Lessons 61, 64, 71, 72, 77, 80, 81, 90, 99, 103, 108
Assessed Local: Performance Task 13
Assessed State Level: No
MA 8.4.1b Students will compare characteristics between sets of data or within a given set of data.
Practice/Maintenance: Lessons 61, 64, 71, 72, 77, 80, 81, 90, 97, 99, 103, 108, 113
Assessed Local: Performance Task 12, 13
Assessed State Level: Yes
MA 8.4.1c Students will find, interpret, and compare measures of central tendency (mean, median, mode) and the quartiles for sets of data.
Practice/Maintenance: Lessons 8-117
Assessed Local: Cumulative Assessment 2, 4, 5, 8, 11, 13
Assessed State Level: No
MA 8.4.1.d Students will select the most appropriate unit of central tendency for sets of data.
Practice/Maintenance: Lesson 8-117
Assessed Local: Cumulative Assessment 2, 4, 5, 8, 11, 13
Assessed State Level: Yes
MA 8.4.1e Students will identify misrepresentation and misinterpretation of data represented in circle graphs and box plots.
Practice/Maintenance: Lesson 103, 108
Assessed Local: District Made Assessment
Assessed State Level: Yes
MA 8.4.2 Predictions and Inferences: Students will evaluate predictions and make inferences based on data.
MA 8.4.2a Students will evaluate predictions to formulate new questions and plan new studies.
Practice/Maintenance: Lesson 113
Assessed Local: Cumulative Assessment 23
Assessed State Level: No
MA 8.4.2b Students will compare and contrast two sets of data to make inferences.
Practice/Maintenance: Lesson 113
Assessed Local: Cumulative Assessment 23
Assessed State Level: No
MA 8.4.3 Probability: Students will apply and interpret basic concepts of probability.
MA 8.4.3a Students will identify complementary events and calculate their probabilities.
Practice/Maintenance: Lessons 32-109
Assessed Local: Cumulative Assessment 7-9, 11-14, 16-19, 21, 22
Assessed State Level: Yes
MA 8.4.3b Students will compute probabilities for independent compound events.
Practice/Maintenance: Lessons 32-109
Assessed Local: 7-9, 11-14, 16-19, 21, 22
Assessed State Level: Yes
