7th Grade Open Up Resources - Illustrative Mathematics Tutorials
Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
All Units
Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
All Units
1. Ratios and Proportional Relationships: Understanding and working with ratios (comparing quantities) and proportions (equivalent ratios), often in real-world contexts such as recipes, maps, and scale drawings.
2. Operations with Rational Numbers: Performing operations (addition, subtraction, multiplication, division) with rational numbers, including positive and negative fractions, decimals, and integers.
3. Expressions and Equations: Simplifying algebraic expressions, solving one-step and two-step equations, and understanding the relationship between expressions and equations.
4. Geometry: Continuing to explore geometric concepts such as angles, triangles, quadrilaterals, circles, surface area, and volume. Also, understanding transformations (translations, reflections, rotations) and geometric constructions.
5. Probability and Statistics: Analyzing and interpreting data using measures of central tendency (mean, median, mode) and variability (range, interquartile range). Also, understanding probability concepts such as experimental and theoretical probability, and using probability to make predictions.
6. Proportional Relationships and Slope: Understanding proportional relationships graphically, numerically, and algebraically. Also, calculating and interpreting the slope of a line in various contexts.
7. Integer Exponents and Scientific Notation: Working with expressions involving integer exponents (powers), simplifying expressions with exponents, and expressing large or small numbers using scientific notation.
8. Equations and Inequalities: Solving multi-step equations and inequalities, understanding the properties of equality and inequality, and applying these concepts to solve real-world problems.
9. Functions: Introducing the concept of functions and function notation, analyzing and graphing linear functions, and understanding the relationship between input and output values in a function.
10. Problems Solving and Critical Thinking: Applying mathematical concepts and skills to solve complex problems, including multi-step problems that require logical reasoning, strategic planning, and mathematical modeling.
2. Operations with Rational Numbers: Performing operations (addition, subtraction, multiplication, division) with rational numbers, including positive and negative fractions, decimals, and integers.
3. Expressions and Equations: Simplifying algebraic expressions, solving one-step and two-step equations, and understanding the relationship between expressions and equations.
4. Geometry: Continuing to explore geometric concepts such as angles, triangles, quadrilaterals, circles, surface area, and volume. Also, understanding transformations (translations, reflections, rotations) and geometric constructions.
5. Probability and Statistics: Analyzing and interpreting data using measures of central tendency (mean, median, mode) and variability (range, interquartile range). Also, understanding probability concepts such as experimental and theoretical probability, and using probability to make predictions.
6. Proportional Relationships and Slope: Understanding proportional relationships graphically, numerically, and algebraically. Also, calculating and interpreting the slope of a line in various contexts.
7. Integer Exponents and Scientific Notation: Working with expressions involving integer exponents (powers), simplifying expressions with exponents, and expressing large or small numbers using scientific notation.
8. Equations and Inequalities: Solving multi-step equations and inequalities, understanding the properties of equality and inequality, and applying these concepts to solve real-world problems.
9. Functions: Introducing the concept of functions and function notation, analyzing and graphing linear functions, and understanding the relationship between input and output values in a function.
10. Problems Solving and Critical Thinking: Applying mathematical concepts and skills to solve complex problems, including multi-step problems that require logical reasoning, strategic planning, and mathematical modeling.