Algebra I, Algebra II, and Geometry

The IFL offers performance-based assessments (PBAs) that assess students' learning of concepts and practices in specific Sets of Related Lessons. Sets of Related Lessons with associated PBAs are marked with an asterisk (*). Please see here for more information about the mathematics PBAs.

Creating and Interpreting Functions*Purchasable Online

Grade Level
Algebra I

This lesson set provides the opportunity for students to create and interpret functions, rate of change, and average rate of change of the function. Students will:

  • create and interpret functions;
  • calculate and interpret the rate of change and average rate of change of functions;
  • examine the behavior of functions over given intervals; and
  • interpret key features of the graphs of functions.

Mathematical Content Standards:: A.CED.A.2, A.REI.D.10, F.IF.B.4, F.IF.B.5, and F.IF.B.6

Approximately 8-15 days of instruction.

Purchase this teacher manual with 25 student workbooks for $119.00

Purchase the student workbooks for $4.95 each

Purchase the teacher manual (set of related lessons) alone for $65.00

Developing an Understanding of Quadratics*Purchasable Online

Grade Level
Algebra I

This lesson set examines the graphs of quadratic functions and differentiates characteristics of quadratic functions from those of linear functions. Students will:

  • create and interpret graphs for quadratic equations;
  • learn strategies for solving quadratic equations; and
  • understand how the root of a function is connected to its graphical representation.

Mathematical Content Standards: A.CED.A.2, A.REI.B.4, A.REI.B.4.B, A.REI.D.10, F.IF.B.4

Approximately 8-15 days of instruction.

Purchase this teacher manual with 25 student workbooks for $119.00

Purchase the student workbooks for $4.95 each

Purchase the teacher manual (set of related lessons) alone for $65.00

Solving Problems Using Linear and Exponential ModelsPurchasable Online

Grade Level
Algebra I

This lesson set provides students the opportunity to extend their previous understanding of functions to include exponential functions. Students will:

  • examine the way that exponential functions grow and compare this to the growth of linear functions;
  • build linear and exponential function rules from contexts and tables of values for both increasing and decreasing functions;
  • graph linear and exponential functions and connect features of these graphs to the parameters in the function rules; and
  • determine whether situations can be modeled by linear or exponential functions and identify distinguishing features of these situations.

Mathematical Content Standards: F-LE.A.1, F-LE.A.1.A, F-LE.A.1.B, F-LE.A.1.C, F-LE.A.2, and F-LE.B.5

Approximately 8-15 days of instruction.

Purchase this teacher manual with 25 student workbooks for $119.00

Purchase the student workbooks for $4.95 each

Purchase the teacher manual (set of related lessons) alone for $65.00

Building Polynomial FunctionsPurchasable Online

Grade Level
Algebra II

This lesson set provides students the opportunity to use arithmetic to combine polynomial functions and explore the relationship between the original and new functions. Students will:

  • deepen their understanding of how multiple representations are used to represent the same relationship between two variable quantities;
  • learn how to combine polynomial functions arithmetically using multiple representations; and
  • understand the relationship between factors and zeros of a polynomial function.

'Mathematical Content Standards:: A-APR.B.3 and F-BF.A.1.B

Approximately 8-15 days of instruction.

Purchase this teacher manual with 25 student workbooks for $119.00

Purchase the student workbooks for $4.95 each

Purchase the teacher manual (set of related lessons) alone for $65.00

Investigating Rational ExponentsPurchasable Online

Grade Level
Algebra II

This lesson set provides students the opportunity to investigate the characteristics of expressions and equations with rational exponents. Students will:

  • deepen their understanding of the properties of rational exponents;
  • write rational expressions in equivalent forms;
  • sketch graphs of equations with rational exponents in the first quadrant; and
  • compare the relative size of numbers written using rational exponents.

Mathematical Content Standards:: N-RN.A.1, N-RN.A.2

Approximately 8-15 days of instruction.

Purchase this teacher manual with 25 student workbooks for $119.00

Purchase the student workbooks for $4.95 each

Purchase the teacher manual (set of related lessons) alone for $65.00

Reasoning with Rational Equations Coming soon

Grade Level
Algebra II

Coming soon...

Investigating and Using Coordinate GeometryPurchasable Online

Grade Level
Geometry

This lesson set provides students the opportunity to explore coordinate geometry as a mechanism for proving simple geometric theorems and solving problems. Students will:

  • generalize midpoint and distance formulas using coordinate geometry;
  • use coordinate geometry to explore patterns and make conjectures about midpoint, distance, perpendicular bisectors, and midsegment; and
  • use coordinate geometry to prove or disprove conjectures.

Mathematical Content Standards: G-GPE.B.4, G-GPE.B.5, G-GPE.B.6, and G-GPE.B.7

Approximately 8-15 days of instruction.

Purchase this teacher manual with 25 student workbooks for $119.00

Purchase the student workbooks for $4.95 each

Purchase the teacher manual (set of related lessons) alone for $65.00

Investigating Congruence in Terms of Rigid MotionPurchasable Online

Grade Level
Geometry

This lesson set provides students the opportunity to formalize their understanding of the rigid motions: translation, rotation, and reflection. Students will:

  • formalize their definition of rigid motion in terms of the movement of figures in the coordinate plane;
  • describe and predict the transformation of shapes undergoing a sequence of rigid motions;
  • use the definition of congruence in terms of rigid motion to prove the criteria for triangle congruence; and
  • apply the criteria for triangle congruence in solving problems and proving theorems.

Mathematical Content Standards:: G-CO.B.6, G-CO.B.7, G-CO.B.8

Approximately 8-15 days of instruction.

Purchase this teacher manual with 25 student workbooks for $119.00

Purchase the student workbooks for $4.95 each

Purchase the teacher manual (set of related lessons) alone for $65.00

Download 4 tasks for free

Trigonometric Ratios: Solving the Mystery of Similar Right Triangles Coming soon

Grade Level
Geometry

Coming soon...

* The IFL offers performance-based assessments (PBAs) that assess students' learning of concepts and practices in this Set of Related Lessons. PBAs come with scoring guides and annotated student work.