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0706.1. Checks for Understanding (Formative/Summative Assessment): 0706.1.10. Model algebraic equations with manipulatives, technology, and pencil and paper.
0706.1.12. Use dynamic geometry software to explore scale factor and similarity.
0706.1.3. Check answers both by estimation and by appropriate independent calculations, using calculators or computers judiciously.
0706.1.4. Recognize quantities that are inversely proportional (such as the relationship between the lengths of the base and the side of a rectangle with fixed area). Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
0706.1.6. Develop meaning of intercept and rate of change in contextual problems.
0706.1.7. Explain and demonstrate how scale in maps and drawings shows relative size and distance.
0706.1.8. Recognize the applications of scale factor by exploring blueprints, shadow measuring, and scale models.
GLE 0706.1. Grade Level Expectations: GLE 0706.1.1. Use mathematical language, symbols, and definitions while developing mathematical reasoning.
GLE 0706.1.2. Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution.
GLE 0706.1.5. Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions.
GLE 0706.1.7. Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world.
SPI 0706.1. State Performance Indicators: SPI 0706.1.2. Generalize a variety of patterns to a symbolic rule from tables, graphs, or words.
SPI 0706.1.4. Use scales to read maps.
TN.2.Number and Operations
0706.2. Checks for Understanding (Formative/Summative Assessment): 0706.2.1. Understand that the set of rational numbers includes any number that can be written as a ratio of two integers in which the denominator is not zero.
0706.2.13. Use the meaning of negative exponents to represent small numbers; translate between scientific and standard notation.
0706.2.14. Express numbers in scientific notation and recognize its importance in representing the magnitude of a number.
0706.2.15. Report results of calculations appropriately in a given context (i.e. using rules of rounding, degree of accuracy, and/or significant digits).
0706.2.2. Develop and analyze algorithms and compute efficiently with integers and rational numbers.
0706.2.3. Recognize that rational numbers satisfy the commutative and associative laws of addition and multiplication and the distributive law.
0706.2.4. Understand that a and -a are additive inverses and are located the same distance from zero on the number line; relate distance from zero to absolute value.
0706.2.8. Apply ratios, rates, proportions and percents (such as discounts, interest, taxes, tips, distance/rate/time, and percent increase or decrease). Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
0706.2.9. Efficiently compare and order rational numbers and roots of perfect squares/cubes; determine their approximate locations on a number line.
GLE 0706.2. Grade Level Expectations: GLE 0706.2.1. Extend understandings of addition, subtraction, multiplication and division to integers.
GLE 0706.2.2. Understand and work with the properties of and operations on the system of rational numbers.
GLE 0706.2.3. Develop an understanding of and apply proportionality. Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
GLE 0706.2.4. Use ratios, rates and percents to solve single- and multi-step problems in various contexts. Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
GLE 0706.2.5. Understand and work with squares, cubes, square roots and cube roots. Quiz, Flash Cards, Worksheet, Game & Study Guide Real numbers
GLE 0706.2.6. Introduce the concept of negative exponents.
GLE 0706.2.7. Understand and use scientific notation.
SPI 0706.2. State Performance Indicators: SPI 0706.2.1. Simplify numerical expressions involving rational numbers.
SPI 0706.2.2. Compare rational numbers using appropriate inequality symbols.
SPI 0706.2.6. Express the ratio between two quantities as a percent, and a percent as a ratio or fraction. Quiz, Flash Cards, Worksheet, Game & Study Guide Percentage
SPI 0706.2.7. Use ratios and proportions to solve problems. Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
0706.3. Checks for Understanding (Formative/Summative Assessment): 0706.3.10. Solve problems involving unit rates (e.g., miles per hour, words per minute).
0706.3.12. Use linear equations to solve problems and interpret the meaning of slope, m, and the y-intercept, b, in f(x)= mx + b in terms of the context.
0706.3.14. Understand that when solving linear inequalities, multiplication or division by a negative reverses the inequality symbol.
0706.3.2. Represent and analyze mathematical situations using algebraic symbols.
0706.3.3. Identify a function from a written description, table, graph, rule, set of ordered pairs, and/or mapping. Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
0706.3.4. Make tables of inputs x and outputs f(x) for a variety of rules that include rational numbers (including negative numbers) as inputs.
0706.3.5. Plot points to represent tables of linear function values.
0706.3.6. Understand that the graph of a linear function f is the set of points on a line representing the ordered pairs (x, f(x)).
0706.3.7. Distinguish proportional relationships (y/x = k, or y = kx) from other relationships, including inverse proportionality (xy = k, or y = k/x). Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
0706.3.8. Understand slope as the ratio of vertical change to horizontal change.
GLE 0706.3. Grade Level Expectations: GLE 0706.3.3. Understand the concept of function as a rule that assigns to a given input one and only one number (the output). Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
GLE 0706.3.4. Use function notation where f(x) represents the output that the function f assigns to the input x.
GLE 0706.3.5. Understand and graph proportional relationships.
GLE 0706.3.6. Conceptualize the meanings of slope using various interpretations, representations, and contexts.
GLE 0706.3.8. Use a variety of strategies to efficiently solve linear equations and inequalities.
SPI 0706.3. State Performance Indicators: SPI 0706.3.1. Evaluate algebraic expressions involving rational values for coefficients and/or variables. Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas
SPI 0706.3.2. Determine whether a relation (represented in various ways) is a function. Quiz, Flash Cards, Worksheet, Game & Study Guide Functions
SPI 0706.3.3. Given a table of inputs x and outputs f(x), identify the function rule and continue the pattern.
SPI 0706.3.6. Solve linear equations with rational coefficients symbolically or graphically.
SPI 0706.3.8. Solve contextual problems involving two-step linear equations.
SPI 0706.3.9. Solve linear inequalities in one variable with rational coefficients symbolically or graphically.
TN.4.Geometry and Measurement
0706.4. Checks for Understanding (Formative/Summative Assessment): 0706.4.1. Solve problems involving indirect measurement such as finding the height of a building by comparing its shadow with the height and shadow of a known object.
0706.4.2. Use similar triangles and proportionality to find the lengths of unknown line segments in a triangle.
0706.4.3. Understand that if a scale factor describes how corresponding lengths in two similar objects are related, then the square of the scale factor describes how corresponding areas are related, and the cube of the scale factor describes how corresponding volumes are related.
0706.4.4. Compare angles, side lengths, perimeters and areas of similar shapes.
GLE 0706.4. Grade Level Expectations: GLE 0706.4.1. Understand the application of proportionality with similar triangles.
GLE 0706.4.3. Understand and use scale factor to describe the relationships between length, area, and volume.
GLE 0706.4.4. Understand and use ratios, derived quantities, and indirect measurements. Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio
SPI 0706.4. State Performance Indicators: SPI 0706.4.1. Solve contextual problems involving similar triangles.
SPI 0706.4.3. Apply scale factor to solve problems involving area and volume.
TN.5.Data Analysis, Statistics, and Probability
Data Analysis, Statistics, and Probability
0706.5. Checks for Understanding (Formative/Summative Assessment): 0706.5.1. Create and interpret box-and-whisker plots and stem-and-leaf plots. Quiz, Flash Cards, Worksheet, Game & Study Guide Tables
0706.5.2. Interpret and solve problems using information presented in various visual forms. Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics Quiz, Flash Cards, Worksheet, Game & Study Guide Tables
0706.5.4. Use proportional reasoning to make predictions about results of experiments and simulations.
0706.5.6. Apply percentages to make and interpret histograms and circle graphs. Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs
0706.5.7. Use a tree diagram or organized list to determine all possible outcomes of a simple probability experiment.
GLE 0706.5. Grade Level Expectations: GLE 0706.5.1. Collect, organize, and analyze both single- and two-variable data.
GLE 0706.5.2. Select, create, and use appropriate graphical representations of data.
GLE 0706.5.3. Formulate questions and design studies to collect data about a characteristic shared by two populations, or different characteristics within one population.
GLE 0706.5.5. Understand and apply basic concepts of probability.
SPI 0706.5. State Performance Indicators: SPI 0706.5.1. Interpret and employ various graphs and charts to represent data. Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics Quiz, Flash Cards, Worksheet, Game & Study Guide Tables
SPI 0706.5.2. Select suitable graph types (such as bar graphs, histograms, line graphs, circle graphs, box-and-whisker plots, and stem-and-leaf plots) and use them to create accurate representations of given data.
SPI 0706.5.3. Calculate and interpret the mean, median, upper-quartile, lower-quartile, and interquartile range of a set of data. Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics
SPI 0706.5.4. Use theoretical probability to make predictions.