Unit 1 - Growing, Growing, Growing: Patterns with Exponents (October)Essential Question: How can you use properties of integer exponents to better understand rational numbers and the number system? Project: Planet of the Exponents Learning Outcomes: 1. I can apply the properties of integer exponents
4*. I can understand scientific notation form on a calculator
Lesson 10 - Scientific Notation on a Calculator (Notes, Key)
Unit 2 - Butterflies, Pinwheels, and Wallpaper: Geometric Transformations (October-November) Essential Question: How can you describe the effects of translation, rotation, reflections and dilations in two dimensional congruent figures? Project: Moving Day Learning Outcomes: 5. I can find the measures of interior and exterior angles of triangles
Lesson 1 - Interior and Exterior Angles in Triangles (Notes, Key)
6. I can identify the measures of angles created when a set of parallel lines is cut by a transversal
Lesson 3 - Parallel Lines Cut by a Transversal (Notes, Key)
7. I can apply the Angle-Angle criterion to determine if two triangles are similar
10. I can describe what happens when two-dimensional figures are transformed using coordinates
Lesson 6 - Algebraic Representations of Translations (Notes, Key)
Lesson 8 - Algebraic Representations of Reflections (Notes, Key)
Lesson 10 - Algebraic Representations of Rotations (Notes, Key)
Lesson 15 - Algebraic Representations of Dilations (Notes, Key)
Unit 3 - Thinking with Mathematical Models: Relationships and Functions (November-January) Essential Questions: How can you extend knowledge of proportional relationships and equations to other relationships? How can you develop ways to represent a line by different equations? How do you know whether the relationship between two quantities is a function or not?Project: Real-World Linear Relationships Project: Real-World Linear Relationships Learning Outcomes: 11. I can graph proportional relationships and interpret the unit rate as the slope
18. I can construct a function to model a linear relationship between two quantities (Note - The lesson that support LO 14 apply here as well) 19. I can identify and draw a graph from a verbal description
Unit 4 - Zero, One, or Infinite: Solving Linear Equations (January-February) Essential Questions: How can the use of mathematical properties help you make predictions or assumptions about the number of solutions while solving an equation? Project: TBD 7th Grade Review - One- and Two-Step Equations
Lesson 1 - Solving One- and Two-Step Equations (Notes, Key)
20. I can solve equations that require combining like terms
Lesson 2 - Equations with Variables on Both Sides (Notes, Key)
21. I can solve equations using the distributive property
Lesson 5 - Solving Equations with Distributive Property (Notes, Key)
22, I can solve linear equations with rational number coefficients
Lesson 3 - Solving Equations with Fractions as Coefficients (Notes, Key)
Lesson 4 - Equations with Decimal Coefficients (Notes, Key)
23. I can identify equations with one solution, no solution, or infinite solutions
Lesson 7 - Determining the Number of Solutions (Notes, Key)
Unit 5 - It’s in the System: Linear Systems (February-March) Essential Questions: How can you analyze and solve linear equations and pairs of simultaneous linear equations? Project: Vacation Project 24. I can find the solution to a system of two linear equations using the point of intersection on their graphs
Lesson 1 - Solving Systems Graphically (Notes, Key)
25. I can solve systems of two linear equations in two variables algebraically
Lesson 4 - Solving a Linear System by Substitution (Notes, Key)
Lesson 5 - Solving Problems with Systems of Equations (Notes, Key)
Lesson 9 - Solving a Linear System by Elimination - Add/Subtract (Notes, Key)
27. I can solve real-world and mathematical problems leading to two linear equations in two variables
Lesson 2 - Solving Problems with Systems - Graphing (Notes, Key)
Lesson 5 - Solving Problems with Systems of Equations (Notes, Key)
Lesson 9 - Solving a Linear System by Elimination - Add/Subtract (Notes, Key)
Unit 6 - In Association With: Bivariate Data (March) Essential Questions: How can you find patterns of association for bivariate data in scatter plots and two-way tables? Project: School-to-Prison Pipeline
Unit 7 - Circle Back: Volume of Cylinders, Cones, and Spheres (March-April) Essential Questions: How can you use the formula for the volume of cones, cylinders, and spheres to solve real-world problems? Project: TBD
Post-Test Unit - Looking for Pythagoras Essential Questions: How can you use the Pythagorean theorem to motivate a discussion of irrational square roots? How can you understand irrational numbers and ways to represent them(radicals, non-repeating decimal expansions) on the real number line? Project: TBD