World HolidaysChristmas Day Equations and Inequalities Seventh Grade Math Introduction to Functions Seventh Grade Math Displaying data Eighth Grade Math Perimeter and area Eighth Grade Math Introduction to Probability Seventh Grade Math Finding Volume Seventh Grade Math
OK.8.1. Algebraic Reasoning: Patterns and Relationships - The student will graph and solve linear equations and inequalities in problem solving situations.
8.1.1.a. Model, write, and solve multi-step linear equations with one variable using a variety of methods to solve application problems.
8.1.1.b. Graph and interpret the solution to one- and two-step linear equations on a number line with one variable and on a coordinate plane with two variables.
8.1.1.d. Apply appropriate formulas to solve problems (e.g., d=rt, I=prt).
8.1.2. Inequalities: Model, write, solve, and graph one- and two-step linear inequalities with one variable.
OK.8.2. Number Sense and Operation - The student will use numbers and number relationships to solve a variety of problems.
8.2.1. Number Sense: Represent and interpret large numbers and numbers less than one in exponential and scientific notation.
8.2.2. Number Operations
8.2.2.a. Use the rules of exponents, including integer exponents, to solve problems (e.g., 7^2 x 7^3 = 7^5, 3^-10 x 3^8 = 3^-2).
8.2.2.c. Simplify numerical expressions with rational numbers, exponents, and parentheses using order of operations.
OK.8.3. Geometry - The student will use geometric properties to solve problems in a variety of contexts.
8.3.1. Construct models, sketch (from different perspectives), and classify solid figures such as rectangular solids, prisms, cones, cylinders, pyramids, and combined forms.
8.3.2. Develop the Pythagorean Theorem and apply the formula to find the length of line segments, the shortest distance between two points on a graph, and the length of an unknown side of a right triangle.
OK.8.4. Measurement - The student will use measurement to solve problems in a variety of contexts.
8.4.1. Develop and apply formulas to find the surface area and volume of rectangular prisms, triangular prisms, and cylinders (in terms of pi).
8.4.2. Apply knowledge of ratio and proportion to solve relationships between similar geometric figures.
OK.8.5. Data Analysis - The student will use data analysis, probability, and statistics to interpret data in a variety of contexts.
8.5.1. Data Analysis: Select, analyze and apply data displays in appropriate formats to draw conclusions and solve problems.
8.5.2. Probability: Determine how samples are chosen (random, limited, biased) to draw and support conclusions about generalizing a sample to a population (e.g., is the average height of a men's college basketball team a good representative sample for height predictions?).
8.5.3. Central Tendency: Find the measures of central tendency (mean, median, mode, and range) of a set of data and understand why a specific measure provides the most useful information in a given context.
OK.PS1. Problem Solving
PS1.1. Develop and test strategies to solve practical, everyday problems which may have single or multiple answers.
PS1.2. Use technology to generate and analyze data to solve problems.
PS1.3. Formulate problems from situations within and outside of mathematics and generalize solutions and strategies to new problem situations.
PS1.4. Evaluate results to determine their reasonableness.
PS1.5. Apply a variety of strategies (e.g., restate the problem, look for a pattern, diagrams, solve a simpler problem, work backwards, trial and error) to solve problems, with emphasis on multistep and non-routine problems.
PS3.1. Identify and extend patterns and use experiences and observations to make suppositions.
PS3.4. Select and use various types of reasoning (e.g., recursive , inductive [specific to general], deductive [general to specific], spatial, and proportional).
PS4.1. Apply mathematical strategies to solve problems that arise from other disciplines and the real world.
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