To create a custom lesson, click on the check boxes of the files you’d like to add to your
lesson and then click on the Build-A-Lesson button at the top. Click on the resource title to View, Edit, or Assign it.
SC.8.DSP.Data Analysis, Statistics, and Probability
Data Analysis, Statistics, and Probability
8.DSP.1. Investigate bivariate data. 8.DSP.1b. Graph the bivariate data on a scatter plot.
8.DSP.1c. Describe patterns observed on a scatter plot, including clustering, outliers, and association (positive, negative, no correlation, linear, nonlinear).
8.DSP.2. Draw an approximate line of best fit on a scatter plot that appears to have a linear association and informally assess the fit of the line to the data points.
8.DSP.3. Apply concepts of an approximate line of best fit in real-world situations. 8.DSP.3a. Find an approximate equation for the line of best fit using two appropriate data points.
8.DSP.3b. Interpret the slope and intercept.
8.DSP.3c. Solve problems using the equation.
8.DSP.4. Investigate bivariate categorical data in two-way tables. 8.DSP.4a. Organize bivariate categorical data in a two-way table.
8.DSP.4b. Interpret data in two-way tables using relative frequencies.
SC.8.EEI.Expressions, Equations, and Inequalities
Expressions, Equations, and Inequalities
8.EEI.1. Understand and apply the laws of exponents (i.e. product rule, quotient rule, power to a power, product to a power, quotient to a power, zero power property, negative exponents) to simplify numerical expressions that include integer exponents.
8.EEI.2. Investigate concepts of square and cube roots. 8.EEI.2a. Find the exact and approximate solutions to equations of the form x^2=p and x^3=p where p is a positive rational number. Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers
8.EEI.2b. Evaluate square roots of perfect squares. Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers
8.EEI.3. Explore the relationship between quantities in decimal and scientific notation. 8.EEI.3a. Express very large and very small quantities in scientific notation in the form a x 10^b = p where 1≤a<10 and b is an integer.
8.EEI.3b. Translate between decimal notation and scientific notation.
8.EEI.3c. Estimate and compare the relative size of two quantities in scientific notation.
8.EEI.4. Apply the concepts of decimal and scientific notation to solve real-world and mathematical problems. 8.EEI.4a. Multiply and divide numbers expressed in both decimal and scientific notation.
8.EEI.4b. Select appropriate units of measure when representing answers in scientific notation.
8.EEI.4c. Translate how different technological devices display numbers in scientific notation.
8.EEI.5. Apply concepts of proportional relationships to real-world and mathematical situations. 8.EEI.5a. Graph proportional relationships.
8.EEI.5b. Interpret unit rate as the slope of the graph.
8.EEI.5c. Compare two different proportional relationships given multiple representations, including tables, graphs, equations, diagrams, and verbal descriptions.
8.EEI.6. Apply concepts of slope and y-intercept to graphs, equations, and proportional relationships. 8.EEI.6a. Explain why the slope, m, is the same between any two distinct points on a non-vertical line using similar triangles.
8.EEI.6b. Derive the slope-intercept form (y=mx+b) for a non-vertical line.
8.EEI.8. Investigate and solve real-world and mathematical problems involving systems of linear equations in two variables with integer coefficients and solutions. 8.EEI.8a. Graph systems of linear equations and estimate their point of intersection.
8.EEI.8b. Understand and verify that a solution to a system of linear equations is represented on a graph as the point of intersection of the two lines.
8.EEI.8c. Solve systems of linear equations algebraically, including methods of substitution and elimination, or through inspection.
8.EEI.8d. Understand that systems of linear equations can have one solution, no solution, or infinitely many solutions.
8.F.1. Explore the concept of functions. 8.F.1a. Understand that a function assigns to each input exactly one output. Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
8.F.1b. Relate inputs (x-values or domain) and outputs (y-values or range) to independent and dependent variables.
8.F.1d. Determine if a relation is a function using multiple representations, including mappings, tables, graphs, equations, and verbal descriptions. Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
8.F.3. Investigate the differences between linear and nonlinear functions using multiple representations (i.e. tables, graphs, equations, and verbal descriptions). 8.F.3a. Define an equation in slope-intercept form (y=mx+b) as being a linear function.
8.F.3b. Recognize that the graph of a linear function has a constant rate of change.
8.F.4. Apply the concepts of linear functions to real-world and mathematical situations. 8.F.4a. Understand that the slope is the constant rate of change and the y-intercept is the point where x = 0.
8.F.4b. Determine the slope and the y-intercept of a linear function given multiple representations, including two points, tables, graphs, equations, and verbal descriptions.
8.F.4c. Construct a function in slope-intercept form that models a linear relationship between two quantities.
8.F.4d. Interpret the meaning of the slope and the y-intercept of a linear function in the context of the situation.
8.F.4e. Explore the relationship between linear functions and arithmetic sequences. Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences
SC.8.GM.Geometry and Measurement
8.GM.2. Apply the properties of rigid transformations (rotations, reflections, translations). 8.GM.2a. Rotate geometric figures 90, 180, and 270 degrees, both clockwise and counterclockwise, about the origin.
8.GM.2b. Reflect geometric figures with respect to the x-axis and/or y-axis.
8.GM.2c. Translate geometric figures vertically and/or horizontally.
8.GM.2e. Given two congruent figures, describe the series of rigid transformations that justifies this congruence.
8.GM.3. Investigate the properties of transformations (rotations, reflections, translations, dilations) using a variety of tools (e.g., grid paper, reflective devices, graphing paper, dynamic software). 8.GM.3b. Relate scale drawings to dilations of geometric figures.
8.GM.4. Apply the properties of transformations (rotations, reflections, translations, dilations). 8.GM.4a. Dilate geometric figures using scale factors that are positive rational numbers.
8.GM.4c. Given two similar figures, describe the series of transformations that justifies this similarity.
8.GM.4d. Use proportional reasoning to find the missing side lengths of two similar figures.
8.GM.5. Extend and apply previous knowledge of angles to properties of triangles, similar figures, and parallel lines cut by a transversal. 8.GM.5c. Identify congruent and supplementary pairs of angles when two parallel lines are cut by a transversal.
8.GM.5d. Recognize that two similar figures have congruent corresponding angles.
8.GM.6. Use models to demonstrate a proof of the Pythagorean Theorem and its converse.
8.GM.7. Apply the Pythagorean Theorem to model and solve real-world and mathematical problems in two and three dimensions involving right triangles.
8.GM.8. Find the distance between any two points in the coordinate plane using the Pythagorean Theorem.
8.GM.9. Solve real-world and mathematical problems involving volumes of cones, cylinders, and spheres and the surface area of cylinders.
SC.8.NS.The Number System
8.NS.1. Explore the real number system and its appropriate usage in real-world situations. 8.NS.1a. Recognize the differences between rational and irrational numbers.
8.NS.1b. Understand that all real numbers have a decimal expansion.
8.NS.1c. Model the hierarchy of the real number system, including natural, whole, integer, rational, and irrational numbers. Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers
8.NS.2. Estimate and compare the value of irrational numbers by plotting them on a number line.
8.NS.3. Extend prior knowledge to translate among multiple representations of rational numbers (fractions, decimal numbers, and percentages). Include the conversion of repeating decimal numbers to fractions.
SC.PS.South Carolina College- and Career-Ready Mathematical Process Standards
South Carolina College- and Career-Ready Mathematical Process Standards
PS.1. Make sense of problems and persevere in solving them. PS.1a. Relate a problem to prior knowledge.
PS.1b. Recognize there may be multiple entry points to a problem and more than one path to a solution.
PS.1c. Analyze what is given, what is not given, what is being asked, and what strategies are needed, and make an initial attempt to solve a problem.
PS.1d. Evaluate the success of an approach to solve a problem and refine it if necessary.
PS.2. Reason both contextually and abstractly. PS.2a. Make sense of quantities and their relationships in mathematical and real-world situations.
PS.2d. Connect the meaning of mathematical operations to the context of a given situation.
PS.3. Use critical thinking skills to justify mathematical reasoning and critique the reasoning of others. PS.3c. Make conjectures and explore their validity.
PS.6. Communicate mathematically and approach mathematical situations with precision. PS.6c. Use appropriate and precise mathematical language. Quiz, Flash Cards, Worksheet, Game & Study Guide Functions Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences