Students analyze graphs of various polynomials to count turning points and x-intercepts. They hypothesize a relationship between the degree of the polynomial and the maximum number of real zeros.
Deep dive into segment lengths within and outside circles, covering tangent-radius properties, the two-tangent theorem, and chord-secant length relationships.
Exploration of angle relationships in circles, including central angles, inscribed angles, angles in semicircles, and cyclic quadrilaterals. includes a vocabulary focus and assessment.
A comprehensive bell-ringer series designed to boost student confidence in solving, graphing, and applying quadratic equations for standardized tests.
A lesson focused on solving systems of two linear equations using the substitution method, specifically highlighting the distribution of negative values and handling negative results.
Introduces strategies for balancing and solving one-, two-, and multi-step linear equations using inverse operations.
Focuses on mastery of integer operations, absolute value, and rational number properties through visual number line navigation.
A focused assessment on identifying and calculating angle relationships including complementary, supplementary, adjacent, and vertical angles.
A comprehensive lesson on solving two-step equations and inequalities, including variables on both sides and the sign-reversal rule for inequalities. Students will 'draft' their solutions using architectural-themed guided notes and practice exercises.
A focused quiz assessing student proficiency in solving systems of linear equations using both substitution and elimination methods.
A straightforward lesson on solving systems of linear equations using the two primary algebraic methods: substitution and elimination. Designed for 9th-grade algebra students.
A comprehensive review lesson on polynomial operations including addition, subtraction, box-method multiplication, and division by monomials. Students work in teams to solve 15 challenge problems styled as blueprint calculations.
A comprehensive review of circle geometry for Honors students, covering angle-arc relationships (central, inscribed, interior, and exterior) and segment lengths (chords, secants, and tangents) through technical blueprint-style visuals and complex algebraic applications.
A high-energy review of operations with monomials and polynomials, focusing on addition, subtraction, multiplication, and division through a collaborative arcade-themed challenge.
A high-intensity review session for AP Precalculus Unit 3, covering trigonometric functions, inverse functions, and polar coordinates through a "Radar Tech" thematic lens.
A comprehensive review for Unit 3 of AP Precalculus, focusing on trigonometric and polar functions through reference materials and practice assessments.
A comprehensive introduction to Right Triangle Trigonometry (SOH CAH TOA) aligned with Illinois High School Geometry standards. Students will explore ratios, solve for missing dimensions, and apply trigonometry to real-world surveying scenarios.
A focused lesson on transformations of quadratic and polynomial functions, emphasizing multiple-select assessments and justification of work. Students will analyze how changes in function equations affect their graphical representations.