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TN.1. Mathematical Processes
0806.1. Checks for Understanding (Formative/Summative Assessment):
0806.1.6. Use models (such as dynamic geometry software, patty paper and geo boards) to explore relationships among angles (complementary, supplementary, interior, exterior, vertical, and corresponding).
GLE 0806.1. Grade Level Expectations:
GLE 0806.1.1. Use mathematical language, symbols, and definitions while developing mathematical reasoning.
GLE 0806.1.2. Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution.
GLE 0806.1.5. Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions.
GLE 0806.1.7. Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world.
SPI 0806.1. State Performance Indicators:
SPI 0806.1.3. Calculates rates involving cost per unit to determine the best buy.
TN.2. Number and Operations
0806.2. Checks for Understanding (Formative/Summative Assessment):
0806.2.1. Recognize and use exponential, scientific, and calculator notation.
0806.2.2. Square numbers and simplify square roots.
0806.2.3. Solve contextual problems involving powers and roots.
0806.2.6. Simplify expressions using the laws of exponents.
GLE 0806.2. Grade Level Expectations:
GLE 0806.2.1. Extend understanding of the real number system to include irrational numbers.
GLE 0806.2.2. Solve problems involving exponents and scientific notation using technology appropriately.
GLE 0806.2.4. Understand and use the laws of exponents.
SPI 0806.2. State Performance Indicators:
SPI 0806.2.1. Order and compare rational and irrational numbers and locate on the number line.
0806.3. Checks for Understanding (Formative/Summative Assessment):
0806.3.1. Perform basic operations on algebraic expressions (including grouping, order of operations, exponents, square/cube roots, simplifying and expanding).
0806.3.13. Represent situations and solve real-world problems using symbolic algebra.
0806.3.2. Represent algebraic relationships with equations and inequalities.
0806.3.4. Understand the relationship between the graph of a linear inequality and its solutions.
0806.3.6. Identify x- and y-intercepts and slope of linear equations from an equation, graph or table.
0806.3.7. Analyze situations and solve problems involving constant rate of change.
0806.3.8. Recognize a proportion as a special case of a linear equation and understand that the constant of proportionality is the slope, and the resulting graph is a line through the origin.
GLE 0806.3. Grade Level Expectations:
GLE 0806.3.2. Represent, analyze, and solve problems involving linear equations and inequalities in one and two variables.
GLE 0806.3.4. Translate among verbal, tabular, graphical and algebraic representations of linear functions.
GLE 0806.3.5. Use slope to analyze situations and solve problems.
SPI 0806.3. State Performance Indicators:
SPI 0806.3.3. Solve and graph linear inequalities in two variables.
SPI 0806.3.5. Determine the slope of a line from an equation, two given points, a table or a graph.
TN.4. Geometry and Measurement
0806.4. Checks for Understanding (Formative/Summative Assessment):
0806.4.1. Model the Pythagorean Theorem.
0806.4.2. Use the converse of the Pythagorean Theorem to determine if a triangle is a right triangle.
0806.4.3. Select or use the appropriate measurement instrument to determine or create a given length, area, volume, angle, weight, or mass.
0806.4.4. Understand how the precision of measurement influences accuracy of quantities derived from these measurements.
GLE 0806.4. Grade Level Expectations:
GLE 0806.4.3. Understand the necessary levels of accuracy and precision in measurement.
SPI 0806.4. State Performance Indicators:
SPI 0806.4.1. Use the Pythagorean Theorem to solve contextual problems.
SPI 0806.4.2. Apply the Pythagorean theorem to find distances between points in the coordinate plane to measure lengths and analyze polygons and polyhedra.
TN.5. Data Analysis, Statistics, and Probability
0806.5. Checks for Understanding (Formative/Summative Assessment):
0806.5.1. Solve simple problems involving probability and relative frequency.
0806.5.3. Recognize common misconceptions associated with dependent and independent events.
0806.5.4. Explain the benefits and the limitations of various representations (i.e., bar graphs, line graphs, circle graphs, histograms, stem-and-leaf plots, box plots, scatterplots) of data.
0806.5.5. Create and interpret box-and-whisker plots and scatterplots.
0806.5.7. Estimate lines of best fit to make and test conjectures.
0806.5.8. Consider the source, design, analysis, and display of data to evaluate statistics reported in the media.
GLE 0806.5. Grade Level Expectations:
GLE 0806.5.1. Explore probabilities for compound, independent and/or dependent events.
GLE 0806.5.2. Select, create, and use appropriate graphical representations of data (including scatterplots with lines of best fit) to make and test conjectures.
GLE 0806.5.3. Evaluate the use of statistics in media reports.
SPI 0806.5. State Performance Indicators:
SPI 0806.5.1. Calculate probabilities of events for simple experiments with equally probable outcomes.
SPI 0806.5.2. Use a variety of methods to compute probabilities for compound events (e.g., multiplication, organized lists, tree diagrams, area models).
SPI 0806.5.3. Generalize the relationship between two sets of data using scatterplots and lines of best fit.
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