8.EE.1. Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, = 3 3 = 1/3 3 = 1/27.

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1 Unit : Expressions & Equations 3 rd Nine Weeks Jan Suggested Instructional Days: INTERIM ASSESSMENT 3: JANUARY 31-FEBRUARY 6 Unit Summary (Learning Target/Goal): -Develop and apply properties of integer exponents, and use numbers expressed as a single digit times an integer power of 10 to estimate very large or very small quantities. Perform operations with numbers expressed in scientific notation. -Analyze and solve systems of linear equations algebraically, and estimate solutions by graphing the equations; model and solve realworld problems using two linear equations. CCSS for Mathematical Content: Expressions and Equations Work with radicals and integer exponents. 8.EE.1. Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, = 3 3 = 1/3 3 = 1/27. 8.EE.3. Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3 times 10 8 and the population of the world as 7 times 10 9, and determine that the world population is more than 20 times larger. 8.EE.4. Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology. Example Students can convert decimal forms to scientific notation and apply rules of exponents to simplify expressions. In working with calculators or spreadsheets, it is important that students recognize scientific notation. Students should recognize that the output of 2.45E+23 is 2.45 x and 3.5E-4 is 3.5 x Students enter scientific notation using E or EE (scientific notation), * (multiplication), and ^ (exponent) symbols. Key Vocabulary: linear function rate of change slope slope-intercept form slope of a line y-intercept Grade 8 Quarter 3 1

2 Expressions and Equations---Analyze and solve linear equations and pairs of simultaneous linear equations. 8.EE.8. Analyze and solve pairs of simultaneous linear equations. 8.EE.8.a. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. Key Vocabulary: elimination method solution of a system substitution method system of equations Example: How many mugs must be sold to break even? 8.EE.8.b. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6. 8.EE.8.c. Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair Grade 8 Quarter 3 2

3 CCSS for Mathematical Practice: 1. Make sense of problems and persevere in solving them 2. Reason abstractly and quantitatively 4. Model with mathematics 5. Use appropriate tools strategically 6. Attend to precision 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning Explanation/Examples: - Writing in standard form - Writing in scientific notation - Scientific notation with negative exponents - Numbers less than 1 - Multiplying powers - Applying to geometry - Using the commutative property - Multiplying with scientific notation - Applying to science - Choosing units with scientific notation - Dividing powers - Expressions with a zero exponent - Expressions with negative exponents - Dividing numbers with scientific notation - Applying to astronomy - Dividing by numbers in standard form - Ordering numbers - Comparing numbers in scientific notation Explanation/Examples: -Solve a system by graphing - Use substitution - Solve for a variable and using substitution - Solve a system by adding, subtracting, multiplying Reflection/Notes: Resources: Prentice Hall Mathematics Common Core Course 3 Chapter 5 Connected Mathematics Program (CMP) Teacher Resource Prentice Hall Mathematics Common Core Course 3 Online resources SAS Curriculum Pathway Shodor.org Math Warehouse-Algebra Assessment: - Classwork/Homework - Lesson quizzes - Unit test - District Common Formative Assessment Grade 8 Quarter 3 3

Unit: Data Analysis 3rd Nine Weeks Suggested Number of Days: 8-12 Unit Summary (Learning Target/Goal): Construct and interpret scatter plots for bivariate measurement data to investigate patterns of

4 Unit: Data Analysis 3rd Nine Weeks Suggested Number of Days: 8-12 Unit Summary (Learning Target/Goal): Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantitative variables; construct and interpret a two-way table summarizing data on two categorical variables collected on the same subjects CCSS for Mathematical Content: Statistics and Probability---Investigate patterns of association in bivariate data. 8.SP.1. Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. *Suggested math practices #1,7,8. Example-Students in a class conducted a survey to find the ages of all of their pets and the numbers of pets they own. From a scatter plot of the ages and numbers, would you expect a trend line, and if so, would it be positive or negative? Key Vocabulary: bivariate data clustering frequency negative association no association outlier positive association relative frequency scatter plot trend line two-way table 8.SP.2. Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line. *Suggested math practice #1,4,8. Example- Grade 8 Quarter 3 4

5 During an eighth grade math class, the students compared a person's shoe size to their height. After listing each student's data in a chart, they used this information to produce a scatter plot. Use the scatter plot above to determine the trend line for the data collected. 8.SP.3. Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height. *Suggested math practice # 6,7,8. 8.SP.4. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores? *Suggested Math Practice # 4,7. CCSS for Mathematical Practice: 1. Make sense of problems and persevere in solving them 4. Model with mathematics 6. Attend to precision 7. Look for and make use of structure 8. Look for and express regularity in repeated reasoning Grade 8 Quarter 3 5

6 Explanation/Examples: -Read and make scatter plot - Identify clusters and outliers - Describe associations in scatter plots - Identify linear association - Draw trend lines - Assess the fit of trend lines - Use an equation of a trend line - Make a frequency table - Make a relative frequency table Resources: Prentice Hall Mathematics Common Core Course 3 Prentice Hall Mathematics Common Core Course 3 On-line resources Assessment: - Classwork/Homework - Lesson quizzes - Unit test - District Common Formative Assessment Grade 8 Quarter 3 6

with functions, expressions and equations which follow in units 3 and 4.

with functions, expressions and equations which follow in units 3 and 4. Grade 8 Overview View unit yearlong overview here The unit design was created in line with the areas of focus for grade 8 Mathematics as identified by the Common Core State Standards and the PARCC Model