These resources are intended for review and practice after initial instruction of the standards.

- Fractional Exponents video

This video introduces and explains the concept of fractional exponents.

- Classifying Rational and Irrational Numbers

This lesson unit is intended to help educators assess how well students are able to distinguish between rational and irrational numbers - Evaluating Statements about Rational and Irrational Numbers

This lesson unit is intended to help you assess how well students reason about the properties of rational and irrational numbers.

- Adding and Subtracting Polynomials

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Adding and Subtracting Polynomials video

This video introduces and explains the topic. - Adding and Subtracting Rational Expressions

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Adding and Subtracting Rational Expressions video

This video introduces and explains the topic. - Multiplying Polynomials

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Multiplying Polynomials video

This video introduces and explains the concept. - Multiplying and Dividing Monomials

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Multiplying and Dividing Monomials video

This video introduces and explains the topic. - Multiplying and Dividing Rational Expressions

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Multiplying and Dividing Rational Expressions video

This video introduces and explains the topic. - Polynomials

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Polynomials video

The video introduces and explains the topic. - Simplifying Expressions with Exponents

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Simplifying Expressions with Exponents video

This is a video introduction and explanation of the topic. - Simplifying Radical Expressions

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Simplifying Radical Expressions video

This video introduces and explains the topic. - Solving Quadratic Equations by Completing the Square

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Solving Quadratic Functions by Completing the Square video

This video introduces and explains the topic. - Special Products of Polynomials

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Special Products of Polynomials video

This video introduces and explains the concept.

- Factoring Special Products

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Factoring Special Products video

This video introduces and explains the concept. - Factoring Trinomials by Grouping 1

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Factoring Trinomials by Grouping 1 video

This is a video introducing and explaining the concept. - Factoring Trinomials by Grouping 2

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Factoring Trinomials by Grouping 2 video

This video introduces and explains this concept. - Non-linear Functions video

This video introduces non-linear functions. - Solve Quadratic Expressions by Factoring video

This video introduces and explains the concept.

- Adding and Subtracting Polynomials

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Adding and Subtracting Polynomials video

This video introduces and explains the topic. - IXL Game: Polynomials: Multiply polynomials

This game in the algebra domain will help students understand how multiply polynomials. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use. - Multiplying Polynomials

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Multiplying Polynomials video

This video introduces and explains the concept. - Special Products of Polynomials

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Special Products of Polynomials video

This video introduces and explains the concept.

- Applications of Quadratic Functions

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Applications of Quadratic Functions video

This video introduces and explains the topic. - Equations of Circles 1

This lesson unit is intended to help educators assess how well students are able to use the Pythagorean theorem to derive the equation of a circle, as well as translate between the geometric features of circles and their equations. - Graphing Quadratic Functions

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Inscribing and Circumscribing Right Triangles

This lesson unit is intended to help educators assess how well students are able to use geometric properties to solve problems. - Non-linear Functions video

This video introduces non-linear functions. - Polynomials

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Solving Quadratic Equations Using the Quadratic Formula video

This video introduces and explains the topic. - Sorting Equations of Circles 2

This lesson unit is intended to help educators assess how well students are able to translate between the equations of circles and their geometric features, and sketch a circle from its equation.

- Applications of Quadratic Functions

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Applications of Quadratic Functions video

This video introduces and explains the topic. - Graphing Quadratic Functions

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Graphing Quadratic Functions video

This video introduces and explains the topic. - Proof Without Words: Completing the Square

The act of "completing the square" involves taking half the coefficient of x in the quadratic x2 + ax and adding its square. But many students do not understand why this process works. - Solve Quadratic Expressions by Factoring video

This video introduces and explains the concept. - Solving Quadratic Equations Using the Quadratic Formula video

This video introduces and explains the topic. - Solving Quadratic Equations by Completing the Square

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Solving Quadratic Functions by Completing the Square video

This video introduces and explains the topic. - Systems of Non-Linear Equations

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Systems of Non-Linear Equations video

This video introduces and explains the topic.

- Systems of Non-Linear Equations

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Systems of Non-Linear Equations video

This video introduces and explains the topic.

- Applications of Quadratic Functions

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Applications of Quadratic Functions video

This video introduces and explains the topic. - GeoGebra

GeoGebra is dynamic online geometry software. Constructions can be made with points, vectors, segments, lines, polygons, conic sections, inequalities, implicit polynomials and functions. All of them can be changed dynamically afterwards. - Graphing Quadratic Functions

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Graphing Quadratic Functions video

This video introduces and explains the topic. - Intercepts of Linear Equations video

This video introduces the topic. - Non-linear Functions video

This video introduces non-linear functions. - Polynomials video

The video introduces and explains the topic. - Solving Quadratic Equations Using the Quadratic Formula video

This video introduces and explains the topic. - Solving Quadratic Functions by Completing the Square video

This video introduces and explains the topic. - Sorting Equations of Circles 2

This lesson unit is intended to help educators assess how well students are able to translate between the equations of circles and their geometric features, and sketch a circle from its equation.

- Applications of Quadratic Functions

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Applications of Quadratic Functions video

This video introduces and explains the topic. - GeoGebra

GeoGebra is dynamic online geometry software. Constructions can be made with points, vectors, segments, lines, polygons, conic sections, inequalities, implicit polynomials and functions. All of them can be changed dynamically afterwards. - Graphing Quadratic Functions

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Intercepts of Linear Equations video

This video introduces the topic. - Non-linear Functions video

This video introduces non-linear functions. - Solve Quadratic Expressions by Factoring video

This video introduces and explains the concept. - Solving Quadratic Functions by Completing the Square video

This video introduces and explains the topic. - Sorting Equations of Circles 2

This lesson unit is intended to help educators assess how well students are able to translate between the equations of circles and their geometric features, and sketch a circle from its equation.

- Applications of Quadratic Functions

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Applications of Quadratic Functions video

This video introduces and explains the topic. - Generalizing Patterns: Table Tiles

This lesson unit is intended to help educators assess how well students are able to identify linear and quadratic relationships in a realistic context: the number of tiles of different types that are needed for a range of square tabletops. - Medical Testing

This lesson unit is intended to help educators assess how well students are able to make sense of a real life situation and decide what math to apply to the problem, understand and calculate the conditional probability of an event A, given an event B, and interpret the answer in terms of a model, and represent events as a subset of a sample space using tables, tree diagrams, and Venn diagrams. - Polynomials

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Representing Trigonometric Functions - Ferris Wheel

This lesson unit is intended to help educators assess how well students are able to model a periodic situation, the height of a person on a Ferris wheel, using trigonometric functions, and interpret the constants a, b, c in the formula h = a + b cos ct in terms of the physical situation, where h is the height of the person above the ground and t is the elapsed time.

- Generalizing Patterns: Table Tiles

This lesson unit is intended to help educators assess how well students are able to identify linear and quadratic relationships in a realistic context: the number of tiles of different types that are needed for a range of square tabletops. - Medical Testing

This lesson unit is intended to help educators assess how well students are able to make sense of a real life situation and decide what math to apply to the problem, understand and calculate the conditional probability of an event A, given an event B, and interpret the answer in terms of a model, and represent events as a subset of a sample space using tables, tree diagrams, and Venn diagrams. - Representing Trigonometric Functions - Ferris Wheel

This lesson unit is intended to help educators assess how well students are able to model a periodic situation, the height of a person on a Ferris wheel, using trigonometric functions, and interpret the constants a, b, c in the formula h = a + b cos ct in terms of the physical situation, where h is the height of the person above the ground and t is the elapsed time.

- Modeling: Having Kittens

This lesson unit is intended to help you assess how well students are able to interpret a situation and represent the constraints and variables mathematically, select appropriate mathematical methods to use, make sensible estimates and assumptions and investigate an exponentially increasing sequence.

- Angles

Students are introduced to all kinds of angles in this lesson plan, including acute, obtuse, right, vertical, adjacent, and corresponding among others. - Evaluating Statements About Length and Area

This lesson unit is intended to help educators assess how well students can understand the concepts of length and area, use the concept of area in proving why two areas are or are not equal, and construct their own examples and counterexamples to help justify or refute conjectures. - Proofs of the Pythagorean Theorem

This lesson unit is intended to help educators assess how well students are able to produce and evaluate geometrical proofs. - Solving Geometry Problems: Floodlights

This lesson unit is intended to help educators assess how well students are able to identify and use geometrical knowledge to solve a problem. - Student Task: Circles in Triangles

In this task, the students have to find the radius of circles inscribed in various sizes of right triangle. - Student Task: Floor Pattern

In this task, students will investigate the geometrical properties of a pattern of floor tiles - Tessellations: Geometry and Symmetry

Students can explore polygons, symmetry, and the geometric properties of tessellations in this lesson.

- Evaluating Conditions for Congruency

This lesson unit is intended to help educators assess how well students are able to work with concepts of congruency and similarity, including identifying corresponding sides and corresponding angles within and between triangles. They will also identify and understand the significance of a counter-example, and prove and evaluate proofs in a geometric context. - IXL Game: Geometry: Similar Figures

This game will reinforce geometry dealing with similar figures by looking at side lengths and angle measures. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use. - Introduction to Fractals: Infinity, Self-Similarity and Recursion

This lesson is designed to help students understand aspects of fractals, specifically self-similarity and recursion. - Squaring the Triangle

Students can manipulate the sides of a triangle in this applet in order to better understand the Pythagorean Theorem.

- Evaluating Conditions for Congruency

This lesson unit is intended to help educators assess how well students are able to work with concepts of congruency and similarity, including identifying corresponding sides and corresponding angles within and between triangles. They will also identify and understand the significance of a counter-example, and prove and evaluate proofs in a geometric context. - Proofs of the Pythagorean Theorem

This lesson unit is intended to help educators assess how well students are able to produce and evaluate geometrical proofs. - Solving Geometry Problems: Floodlights

This lesson unit is intended to help educators assess how well students are able to identify and use geometrical knowledge to solve a problem. - Squaring the Triangle

Students can manipulate the sides of a triangle in this applet in order to better understand the Pythagorean Theorem. - Tessellations: Geometry and Symmetry

Students can explore polygons, symmetry, and the geometric properties of tessellations in this lesson.

- Access Ramp - Student Task

This task has students design an access ramp, which complies with the Americans with Disabilities Act (ADA) requirements and include pricing based on local costs. - Applications of the Pythagorean Theorem

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Applications of the Pythagorean Theorem video

This video introduces and explains the topic. - Applying Radical Equations

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Applying Radical Equations video

This video introduces and explains the topic. - Calculating Volumes of Compound Objects

This lesson unit is intended to help educators assess how well students solve problems involving measurement. - Evaluating Conditions for Congruency

This lesson unit is intended to help educators assess how well students are able to work with concepts of congruency and similarity, including identifying corresponding sides and corresponding angles within and between triangles. They will also identify and understand the significance of a counter-example, and prove and evaluate proofs in a geometric context. - Inscribing and Circumscribing Right Triangles

This lesson unit is intended to help educators assess how well students are able to use geometric properties to solve problems. - Miniature Golf - student task

This task requires students to redesign a miniature golf course to make it more challenging. - Pythagorean Explorer

This applet challenges the student to find the length of the third side of a triangle when given the two sides and the right angle. - Solving Problems with Circles and Triangles

This lesson unit is intended to help educators assess how well students are able to use geometric properties to solve problems - Squaring the Triangle

Students can manipulate the sides of a triangle in this applet in order to better understand the Pythagorean Theorem. - Student Task: Hopewell Geometry

The Hopewell people were Native Americans whose culture flourished in the central Ohio Valley about 2000 years ago. They constructed earthworks using right triangles. In this task, the student will look at some of the geometrical properties of a Hopewell earthwork.

- Inscribing and Circumscribing Right Triangles

This lesson unit is intended to help educators assess how well students are able to use geometric properties to solve problems. - Student Task: Circles in Triangles

In this task, the students have to find the radius of circles inscribed in various sizes of right triangle. - Student Task: Temple Geometry

During the Edo period (1603-1867) of Japanese history, geometrical puzzles were hung in the holy temples as offerings to the gods and as challenges to worshippers. Here is one such problem for students to investigate.

- Inscribing and Circumscribing Right Triangles

This lesson unit is intended to help educators assess how well students are able to use geometric properties to solve problems. - Student Task: Circles in Triangles

In this task, the students have to find the radius of circles inscribed in various sizes of right triangle. - Student Task: Temple Geometry

During the Edo period (1603-1867) of Japanese history, geometrical puzzles were hung in the holy temples as offerings to the gods and as challenges to worshippers. Here is one such problem for students to investigate.

- Finding Equations of Parallel and Perpendicular Lines

This lesson unit is intended to help educators assess how well students are able to understand the relationship between the slopes of parallel and perpendicular lines. - Sorting Equations of Circles 2

This lesson unit is intended to help educators assess how well students are able to translate between the equations of circles and their geometric features, and sketch a circle from its equation.

- Student Task: Square

In this task, students are given four points on a graph, and must prove that they are the corners of a square.

- Calculating Volumes of Compound Objects

This lesson unit is intended to help educators assess how well students solve problems involving measurement. - Circle Problems - Radius, Diameter, Circumference and Area

This lesson asks students to calculate problems involving the radius, diameter, circumference and area of circles. - Cylinders and Prisms

Students will look at prisms and cylinders and measure their surface areas and volumes in this lesson. - Student Task: Bestsize Cans

In this task, the student must design a cylindrical drink can that uses the least aluminum for a given volume of drink - Student Task: Funsize Cans

In this task, students must design a cylindrical drink can that uses the least aluminum for a given volume of drink. - Student Task: Glasses

In this task, students will find the volumes of different shaped drinking glasses. - Student Task: Propane Tanks

In this task, students must work out how much you need to change the radius of a propane gas tank in order to double its capacity.

- A Better Fire!!

A simulation of a forest fire and how it spreads helps students learn about probability in this lesson. - Conditional Probability and Probability of Simultaneous Events

This lesson plan is designed to help students understand and use the formula for probability of simultaneous independent events. - Crazy Choices Game

Students will understand probability by playing various games of chance in this lesson's applet. - Ideas that Lead to Probability

This lesson is designed so that students will understand the concept of probability by working with random number generators. - Marbles

This activity helps the student understand randomness and probability by pulling marbles out of a bag. - Medical Testing

This lesson unit is intended to help educators assess how well students are able to make sense of a real life situation and decide what math to apply to the problem, understand and calculate the conditional probability of an event A, given an event B, and interpret the answer in terms of a model, and represent events as a subset of a sample space using tables, tree diagrams, and Venn diagrams. - Modeling Conditional Probabilities 1: Lucky Dip

This lesson unit is intended to help educators assess how well students are able to understand conditional probability and represent events as a subset of a sample space using tables and tree diagrams. - Racing Game with Two Dice

By using the applet embedded in this lesson plan, students can simulate a race and learn about probability.

- Medical Testing

This lesson unit is intended to help educators assess how well students are able to make sense of a real life situation and decide what math to apply to the problem, understand and calculate the conditional probability of an event A, given an event B, and interpret the answer in terms of a model, and represent events as a subset of a sample space using tables, tree diagrams, and Venn diagrams. - Modeling Conditional Probabilities 1: Lucky Dip

This lesson unit is intended to help educators assess how well students are able to understand conditional probability and represent events as a subset of a sample space using tables and tree diagrams.

- Conditional Probability and Probability of Simultaneous Events

This lesson plan is designed to help students understand and use the formula for probability of simultaneous independent events. - Crazy Choices Game

Students will understand probability by playing various games of chance in this lesson's applet. - Events and Outcomes (Counting)

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Events and Outcomes (Counting) video

This video introduces and explains the topic. - From Probability to Combinatorics and Number Theory

This lesson is designed to help students understand probability theory and look at data structures. - Ideas that Lead to Probability

This lesson is designed so that students will understand the concept of probability by working with random number generators. - Permutations and Combinations

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Permutations and Combinations video

This video introduces and explains the topic. - Probability of Independent Events

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Probability of Independent Events video

This video introduces and explains the concept. - Racing Game with Two Dice

By using the applet embedded in this lesson plan, students can simulate a race and learn about probability. - Tree Diagrams and Probability

This lesson focuses on how to figure probability by having the students create tree diagrams. - Two Colors Applet

The applet in this lesson helps the student understand dependent event probability.

- Crazy Choices Game

Students will understand probability by playing various games of chance in this lesson's applet. - Events and Outcomes (Counting)

This collection of resources to teach graphing equations in slope intercept form includes warm-up exercises, a video presentation explaining the topic, practice exercises, worked examples, practice problems, and a review. - Events and Outcomes (Counting) video

This video introduces and explains the topic. - From Probability to Combinatorics and Number Theory

This lesson is designed to help students understand probability theory and look at data structures. - Ideas that Lead to Probability

This lesson is designed so that students will understand the concept of probability by working with random number generators. - Racing Game with One Die

Students can simulate a race between two cars with the roll of a die and learn about probability through this activity. - Tree Diagrams and Probability

This lesson focuses on how to figure probability by having the students create tree diagrams.

The Online Core Resource pages are a collaborative project between the Utah State Board of Education and the Utah Education Network. If you would like to recommend a high quality resource, contact Trish French (Elementary) or Lindsey Henderson (Secondary). If you find inaccuracies or broken links contact resources@uen.org.