| 7 | Rational Numbers | Recognize and identify rational numbers, including integers, fractions, and decimals. |
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| 7 | Rational Numbers | Understand and perform addition with positive and negative integers. |
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| 7 | Rational Numbers | Understand and perform subtraction with positive and negative integers. |
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| 7 | Rational Numbers | Understand and perform multiplication with positive and negative integers. |
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| 7 | Rational Numbers | Understand and perform division with positive and negative integers. |
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| 7 | Rational Numbers | Understand and perform addition with fractions having like and unlike denominators. |
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| 7 | Rational Numbers | Understand and perform subtraction with fractions having like and unlike denominators. |
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| 7 | Rational Numbers | Understand and perform addition with positive and negative decimals. |
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| 7 | Rational Numbers | Understand and perform subtraction with positive and negative decimals. |
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| 7 | Rational Numbers | Apply all four arithmetic operations in multi-step problems involving integers, fractions, and decimals. |
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| 7 | Ratio And Proportional Relationships | Recognize and write ratios in various forms. |
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| 7 | Ratio And Proportional Relationships | Generate equivalent ratios to a given ratio. |
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| 7 | Ratio And Proportional Relationships | Find unit rates of ratios involving fractions. |
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| 7 | Ratio And Proportional Relationships | Determine if two quantities are in a proportional relationship. |
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| 7 | Ratio And Proportional Relationships | Identify and interpret the constant of proportionality in various forms (tables, graphs, equations). |
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| 7 | Ratio And Proportional Relationships | Construct and interpret graphs that represent proportional relationships. |
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| 7 | Ratio And Proportional Relationships | Write proportion equations to describe proportional relationships from real-world contexts. |
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| 7 | Ratio And Proportional Relationships | Solve linear equations that arise from proportional relationships. |
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| 7 | Ratio And Proportional Relationships | Solve problems involving finding the whole, part, and percent. |
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| 7 | Ratio And Proportional Relationships | Solve multi-step ratio and percent problems, including real-world applications. |
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| 7 | Expressions And Equations | Understanding variables as symbols representing numbers. |
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| 7 | Expressions And Equations | Learning to write and interpret algebraic expressions. |
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| 7 | Expressions And Equations | Applying the correct order of operations in expressions. |
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| 7 | Expressions And Equations | Using the distributive property to expand expressions. |
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| 7 | Expressions And Equations | Understanding that equations show the equality of two expressions. |
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| 7 | Expressions And Equations | Solving one-step linear equations. |
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| 7 | Expressions And Equations | Solving two-step linear equations. |
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| 7 | Expressions And Equations | Translating word problems into algebraic equations. |
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| 7 | Inequalities | Learn the meanings of <, >, ≤, and ≥. |
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| 7 | Inequalities | Translate verbal statements into algebraic inequalities. |
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| 7 | Inequalities | Determine possible values that satisfy an inequality. |
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| 7 | Inequalities | Solve inequalities using addition, subtraction, multiplication, or division. |
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| 7 | Inequalities | Understand and apply the addition property of inequality. |
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| 7 | Inequalities | Understand and apply the subtraction property of inequality. |
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| 7 | Inequalities | Understand and apply the multiplication property of inequality. |
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| 7 | Inequalities | Understand and apply the division property of inequality. |
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| 7 | Inequalities | Plot one-variable inequalities on a number line. |
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| 7 | Inequalities | Read and interpret inequalities from graphs. |
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| 7 | Geometry: Angles And Triangles | Understanding and recognizing types of angles such as acute, obtuse, right, and straight angles. |
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| 7 | Geometry: Angles And Triangles | Using a protractor to measure angles accurately. |
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| 7 | Geometry: Angles And Triangles | Recognizing pairs of angles that share a common vertex and side. |
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| 7 | Geometry: Angles And Triangles | Recognizing pairs of angles that are opposite each other when two lines intersect. |
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| 7 | Geometry: Angles And Triangles | Understanding and identifying pairs of angles that sum to 90 degrees. |
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| 7 | Geometry: Angles And Triangles | Understanding and identifying pairs of angles that sum to 180 degrees. |
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| 7 | Geometry: Angles And Triangles | Solving problems using the relationships between adjacent, vertical, complementary, and supplementary angles. |
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| 7 | Geometry: Angles And Triangles | Understanding and proving that the sum of angles in a triangle is 180 degrees. |
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| 7 | Geometry: Angles And Triangles | Recognizing and categorizing triangles based on their angles and sides (e.g., equilateral, isosceles, scalene, acute, obtuse, right). |
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| 7 | Geometry: Angles And Triangles | Solving problems involving unknown angles and side lengths in triangles, using angle relationships and properties. |
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| 7 | Geometric Figures | Recognize and name basic two-dimensional and three-dimensional shapes. |
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| 7 | Geometric Figures | Identify different types of angles such as acute, obtuse, and right angles. |
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| 7 | Geometric Figures | Use a protractor to measure angles in degrees. |
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| 7 | Geometric Figures | Understand and apply properties of different types of triangles (e.g., equilateral, isosceles, scalene). |
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| 7 | Geometric Figures | Understand and apply properties of quadrilaterals (e.g., squares, rectangles, parallelograms). |
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| 7 | Geometric Figures | Calculate the area of various two-dimensional shapes including triangles and quadrilaterals. |
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| 7 | Geometric Figures | Understand the concept of surface area and how it applies to three-dimensional figures. |
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| 7 | Geometric Figures | Calculate the surface area of three-dimensional figures such as cubes and rectangular prisms. |
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| 7 | Geometric Figures | Understand the concept of volume and how it applies to three-dimensional figures. |
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| 7 | Geometric Figures | Calculate the volume of three-dimensional figures such as cubes and rectangular prisms. |
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| 7 | Probability | Understand and list all possible outcomes of a probability event. |
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| 7 | Probability | Calculate the probability of a single event occurring. |
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| 7 | Probability | Recognize and calculate the probability of complementary events. |
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| 7 | Probability | Determine the probability of two or more events happening together. |
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| 7 | Probability | Use tree diagrams to map out and calculate probabilities of compound events. |
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| 7 | Probability | Develop and use probability models to represent real-life scenarios. |
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| 7 | Probability | Conduct experiments to collect data and determine experimental probability. |
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| 7 | Probability | Compare theoretical probabilities to experimental results. |
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| 7 | Probability | Use simulations to model and analyze complex probability scenarios. |
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| 7 | Probability | Calculate the expected value of an event in a probability experiment. |
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| 7 | Statistics | Differentiate between numerical and categorical data. |
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| 7 | Statistics | Organize data into frequency tables. |
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| 7 | Statistics | Construct and interpret bar graphs for categorical data. |
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| 7 | Statistics | Construct and interpret histograms for numerical data. |
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| 7 | Statistics | Create and analyze dot plots for small sets of numerical data. |
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| 7 | Statistics | Create and interpret box plots to display data distributions. |
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| 7 | Statistics | Calculate the mean as the measure of center. |
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| 7 | Statistics | Determine the median and mode of a data set. |
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| 7 | Statistics | Understand and calculate range, interquartile range, and mean absolute deviation. |
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| 7 | Linear Relationships | Understand independent and dependent variables in linear relationships. |
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| 7 | Linear Relationships | Accurately plot points on a Cartesian plane. |
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| 7 | Linear Relationships | Create tables of values for a given linear equation. |
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| 7 | Linear Relationships | Recognize linear patterns in tables and sequences. |
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| 7 | Linear Relationships | Draw graphs of linear equations using plotted points. |
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| 7 | Linear Relationships | Understand the concept and calculation of slope as rise over run. |
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| 7 | Linear Relationships | Calculate the slope from two given points. |
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| 7 | Linear Relationships | Determine the y-intercept of a linear equation. |
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| 7 | Linear Relationships | Write linear equations in slope-intercept form (y = mx + b). |
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| 7 | Linear Relationships | Interpret and analyze the meaning of graphs of linear relationships. |
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| 7 | Problem-Solving With Rational Numbers And Proportions | Adding, subtracting, multiplying, and dividing fractions. |
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| 7 | Problem-Solving With Rational Numbers And Proportions | Converting between improper fractions and mixed numbers and performing operations. |
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| 7 | Problem-Solving With Rational Numbers And Proportions | Performing calculations with decimal numbers. |
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| 7 | Problem-Solving With Rational Numbers And Proportions | Understanding and performing operations with positive and negative rational numbers. |
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| 7 | Problem-Solving With Rational Numbers And Proportions | Calculating and interpreting percentages in various contexts. |
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| 7 | Problem-Solving With Rational Numbers And Proportions | Understanding and using ratios to compare quantities. |
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| 7 | Problem-Solving With Rational Numbers And Proportions | Recognizing and solving problems involving proportional relationships. |
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| 7 | Problem-Solving With Rational Numbers And Proportions | Solving one-step and two-step linear equations. |
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| 7 | Problem-Solving With Rational Numbers And Proportions | Applying knowledge to solve real-world problems involving rational numbers and proportions. |
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| 7 | Problem-Solving With Rational Numbers And Proportions | Analyzing and solving problems based on data presented in tables, graphs, and charts. |
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