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Polynomial Functions unit opening page with title and teacher launch guide — Page 1

Graph reasoning, end behavior, turning points, and rational zero theorem page — Page 5

Polynomial inequalities, ten-item exit ticket, and student reflection page — Page 9

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Polynomial functions unit assignment

A standards-aligned Algebra II unit with terse theory, worked examples, 70 sequenced questions, rational and complex zeros, identities, finite differences, transformations, inequalities, modeling, a ten-item exit ticket, and a separate teacher key.

High school
9 pages
Unit assignment

Student unitThirteen concise subtopics, worked examples, investigation, 70 questions, model, and exit ticket
Teacher keyAll answers, reasoning expectations, acceptable alternatives, and scoring notes
Multiplicity graphEditable local visual showing crossing and touching behavior

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16 complete, editable projects

Teaching

10 resources

Opening page of the Cramer's rule lesson with learning goals, lesson sequence, and prerequisite check

Three-variable Cramer's rule derivation and complete worked example showing all four determinants

Advanced reasoning questions, six-item exit ticket, student reflection, sources, and classroom-use review note

High schoolLesson

Cramer's rule lesson and practice set

Teach students to derive, apply, check, and limit Cramer's rule for two-variable and three-variable linear systems.

Student lesson and practice
Teacher key

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Handout page one: title block, the factored form showing that a cubic behaves like its leading term, a callout bounding where the real roots can lie, and the derivation of the stationary points from b squared minus three a c

Handout page two: the four-case classification table for the number of distinct real roots, the three-panel figure of y = x cubed minus 3x plus k for k = 0, 2 and 4, a note on repeated roots, the reduction to the classical discriminant, and the first worked examples

Handout page three: the two parameter examples, the ten exercises in two columns, the recording table for questions one to four, ruled working space, and the sources with a note on the calculus prerequisite

High schoolHandout

How many real roots does a cubic have?

Let students decide how many distinct real roots any cubic has by computing b squared minus 3ac and the product of the two stationary values.

Student handout
Teacher key

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Lesson page one: title block, the opening section introducing a logarithm as the exponent that undoes a power, the two-machine figure sending 3 to 8 and 8 back to 3, the boxed definition with its restrictions on base and argument, the two inverse identities, and the start of the section on domain and range

Lesson page two: the graph of y = log base 2 of x against y = log base one half of x on shared axes, the identity that changing the base to its reciprocal negates the logarithm, a table of the sign of a logarithm on each side of 1, and the figure showing the exponential and the logarithm as reflections in the line y = x

Lesson page five: the exercise section with a strategy callout, fifteen exercises in two columns rising from direct evaluation to short proofs, a recording table for the answer and restriction used in the first eight questions, ruled working space, and the list of sources

High schoolLesson

Logarithms: definition, graphs, and laws with proofs

Let students define a logarithm as the exponent that inverts a power, read its domain, range and monotonicity off the graph, and prove every standard logarithm law from the index laws.

Student lesson
Teacher key

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Polynomial Functions unit opening page with title and teacher launch guide

Graph reasoning, end behavior, turning points, and rational zero theorem page

Polynomial inequalities, ten-item exit ticket, and student reflection page

High schoolUnit assignment

Polynomial functions unit assignment

Teach polynomial structure, operations, zeros, graphs, identities, transformations, inequalities, data patterns, and modeling in one coherent sequence.

Student unit
Teacher key

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Draft cover page for a high school lesson on conditional probability, distributions, expected value, binomial models, and decisions.

Frequency tree visualizing base rates and test outcomes, followed by a Bayes calculation and an introduction to discrete distributions.

Final probability exercises on Bayes updates and expected-value decisions, followed by references and synthetic-data cautions.

High schoolLesson

Probability Distributions and Expected Value: Conditional Reasoning and Decisions

Teach students to move from conditional probability and Bayes' theorem to discrete distributions, expected value, binomial models, and defensible decisions.

Student lesson and practice
Teacher edition

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Student lesson page one: title, definitions of legs and hypotenuse, a labeled right-triangle diagram, the theorem, a careful historical note, and the opening of the area proof.

Student lesson page four: coordinate and measurement applications, twenty-four two-column practice questions on lengths, classification, distance, and error analysis, plus an exit ticket and working record.

Student lesson page two: the four-triangle area proof and its algebra, formulas for finding a missing side, and worked integer examples for a hypotenuse and a leg.

Middle schoolLesson

Pythagorean theorem: proof, converse, and applications

Understand why a squared plus b squared equals c squared, select the hypotenuse correctly, calculate unknown lengths, use the converse to classify triangles, and derive coordinate distance from the same relation.

Student lesson and practice
Teacher key

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Draft cover page for an Algebra II lesson on rational expressions, domain restrictions, equations, graphs, and applications.

An exact radical solution and an annotated rational-function graph showing intercepts, asymptotes, and end behavior.

Final practice questions on work, speed, inverse variation, cost, parallel resistance, error analysis, and lesson references.

High schoolLesson

Rational Expressions and Equations: Structure, Restrictions, and Solutions

Teach students to preserve domains while simplifying, operating on, solving, graphing, and modeling with rational expressions.

Student lesson and practice
Teacher edition

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Student lesson title page for Right-Triangle Trigonometry: Proofs, Exact Values, and Applications, identifying the geometry and precalculus audience.

Student lesson page deriving exact trigonometric values from 45-45-90 and 30-60-90 constructions with correctly marked angle arcs and proportional side lengths.

Final student page providing ruled working space and a transparent note identifying the lesson's bibliography and original authorship.

High schoolLesson

Right-triangle trigonometry: proofs, exact values, and applications

Define all six trigonometric ratios from similarity, derive the exact values at 30, 45, and 60 degrees, prove the core identities, solve right triangles, and model heights and distances.

Student lesson and practice
Teacher key

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Lesson page one: title block, distinction among a quadratic expression, function, and equation, the general equation, a table comparing standard, factored, and vertex forms, and a triangular diagram showing what each form reveals.

Lesson page three: geometric area model for completing the square, derivation of the general completed-square form and vertex, monic and nonmonic worked examples, and the opening of the quadratic-formula derivation.

Lesson page seven: exercises twenty-three through forty-two on the discriminant, proofs, error analysis, and models, followed by a compact working record and curriculum sources.

High schoolLesson

Solving quadratic equations: choosing and connecting the methods

Connect factored, completed-square, and standard forms so that a solving method can be selected from the structure of a quadratic equation and every solution can be interpreted algebraically and graphically.

Student lesson
Teacher key

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Draft cover page for a US Algebra I lesson on solving systems of linear equations by graphing, substitution, and elimination.

Three checked coordinate diagrams compare a unique intersection, distinct parallel lines, and coincident lines, followed by their algebraic classification.

Standards, open-textbook, and Matherama references for the linear systems lesson, followed by its editorial review note.

High schoolLesson

Systems of Linear Equations: Graphing, Substitution, and Elimination

Teach students to model, classify, solve, and verify two-variable linear systems by graphing, substitution, and elimination.

Student lesson and practice
Teacher edition

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Career documents

6 resources

$Single-column high school math teacher resume showing a professional summary, licensure, teaching experience, curriculum leadership, education, professional learning, and skills.$ 1 pages

Secondary educationResume

ATS-Friendly High School Math Teacher Resume Example

Adapt a focused, single-column resume that connects classroom evidence, curriculum leadership, licensure, and mathematics expertise to a secondary-school teaching role.

Editable teacher resume

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Customer successResume

Customer Success Manager Resume Example

Adapt a reverse-chronological resume that makes customer portfolio scope, onboarding, retention, risk, expansion, and cross-functional ownership measurable and easy to scan.

Editable achievement-led resume

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Project-first entry-level data analyst resume showing SQL, Python, spreadsheets, validation methods, dashboards, education, and transferable employment.

Data analyticsResume

Entry-Level Data Analyst Resume With Projects

Adapt a project-first resume that demonstrates analytical questions, data validation, methods, tools, communication, and judgment before limited employment history.

Editable project-first analyst resume

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Software engineeringResume

Front-End Software Engineer Resume Example

Adapt a technical portfolio resume that connects architecture, accessibility, performance, testing, reliability, and delivery decisions to verified product outcomes.

Editable technical portfolio resume

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First page of a two-page nonprofit program director resume showing a leadership portfolio, program scale, staff and budget scope, funding, partnerships, and senior experience.

Second page of a nonprofit program director resume showing earlier program management, governance and funding practice, community leadership, education, professional development, and operating systems.

Nonprofit program leadershipResume

Nonprofit Program Director Resume Example

Adapt a two-page leadership resume that gives program scale, people leadership, funding, partnerships, governance, evaluation, and operating systems enough evidence without overcrowding.

Editable two-page leadership resume

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Teacher-to-instructional-designer combination resume with selected design projects, transferable teaching experience, process, tools, accessibility practices, and education.

Learning and developmentResume

Teacher to Instructional Designer Resume Example

Adapt a combination resume that translates verified classroom practice into instructional-design projects, methods, tools, accessibility work, and measurable learning outcomes.

Editable career-change resume

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