Geometric Proportions Seventh Grade Math Multiplication Fifth Grade Math Congruent Shapes Third Grade Math Algebra Fifth Grade Math Measurement Third Grade Math Whole Numbers to Millions Fifth Grade Math Exponents, Factors and Fractions Seventh Grade Math
OK.7.1. Algebraic Reasoning: Patterns and Relationships - The student will use number properties and algebraic reasoning to identify, simplify, and solve simple linear equations and inequalities.
7.1.2. Write and solve two-step equations with one variable using number sense, the properties of operations, and the properties of equality (e.g., -2x + 4 = -2).
7.1.3. Inequalities: Model, write, solve, and graph one-step linear inequalities with one variable.
OK.7.2. Number Sense and Operation - The student will use numbers and number relationships to solve a variety of problems.
7.2.1. Number Sense
7.2.1.a. Compare and order positive and negative rational numbers.
7.2.1.b. Build and recognize models of perfect squares to find their square roots and estimate the square root of other numbers (e.g., the square root of 12 is between 3 and 4).
7.2.1.c. Demonstrate the concept of ratio and proportion with models (e.g., similar geometric shapes, scale models).
7.2.2. Number Operations
7.2.2.a. Solve problems using ratios and proportions.
7.2.2.b. Solve percent application problems (e.g., discounts, tax, finding the missing value of percent/part/whole).
7.2.2.c. Simplify numerical expressions with integers, exponents, and parentheses using order of operations.
OK.7.3. Geometry - The student will apply the properties and relationships of plane geometry in a variety of contexts.
7.3.1. Classify regular and irregular geometric figures including triangles and quadrilaterals according to their sides and angles.
OK.7.4. Measurement - The student will use measurement to solve problems in a variety of contexts.
7.4.1. Develop and apply the formulas for perimeter and area of triangles and quadrilaterals to solve problems.
7.4.2. Apply the formula for the circumference and area of a circle to solve problems.
OK.7.5. Data Analysis - The student will use data analysis, probability, and statistics to interpret data in a variety of contexts.
7.5.2. Probability: Determine the probability of an event involving ''or'', ''and'', or ''not'' (e.g., on a spinner with one blue, two red and two yellow sections, what is the probability of getting a red or a yellow?).
7.5.3. Central Tendency: Compute the mean, median, mode, and range for data sets and understand how additional data or outliers in a set may affect the measures of central tendency.
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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