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

- Adding and Subtracting Rational Expressions video

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

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

This video introduces and explains the concept.

- Special Products of Polynomials video

This video introduces and explains the concept.

- Representing Polynomials

This lesson unit is intended to help educators assess how well students are able to translate between graphs and algebraic representations of polynomials.

- 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. - Interpreting Algebraic Expressions

This lesson unit is intended to help educators assess how well students are able to translate between words, symbols, tables, and area representations of algebraic expressions - 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 video

The video introduces and explains the topic. - Simplifying 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.

- 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.

- 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. - Applying Rational 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 Rational Equations 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. - Solving 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. - Solving Radical Equations video

This video introduces and explains the topic. - Solving Rational 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. - Solving Rational Expressions 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.

- Polynomials video

The video introduces and explains the topic. - Simplifying 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.

- 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. - Inductive Reasoning video

This video introduces and explains the topic. - Modeling: Rolling Cups

This lesson unit is intended to help educators assess how well students are able to choose appropriate mathematics to solve a non-routine problem, generate useful data by systematically controlling variables, and develop experimental and analytical models of a physical situation. - Solving Rational Expressions video

This video introduces and explains the topic.

- Absolute Value

This array of resources teaching absolute value includes warm-up problems, a video introducing the topic, worked examples, practice problems, and a review. - 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. - 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. - Applying Rational 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 Rational Equations 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. - 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. - Modeling: Rolling Cups

This lesson unit is intended to help educators assess how well students are able to choose appropriate mathematics to solve a non-routine problem, generate useful data by systematically controlling variables, and develop experimental and analytical models of a physical situation. - Proportional 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. - Reading Graphs

Through this lesson students will understand how to graph functions. - Solve Quadratic Expressions by Factoring video

This video introduces and explains the concept. - Solving Absolute Value 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. - Solving Absolute Value Equations video

This video explains how to solve absolute value expressions. - Solving Equations video

Answers the questions "what are equations?" and "how do we solve them?" - 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 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. - Solving Radical Equations video

This video introduces and explains the topic. - Solving Rational 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. - Solving Rational Expressions 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.

- Applying Rational Equations video

This video introduces and explains the topic. - 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. - Solving Rational Expressions video

This video introduces and explains the topic.

- 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.

- 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.

- 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. - Tidal Waves (pdf)

Students analyze a problem faced by the captain of a shipping vessel. Students may use a range of functions to model the situation and reflect on their usefulness. Because trigonometric functions can be useful, this task would be particularly appropriate for students who have had an introduction to graphing sine and cosine functions.

- 2D Representations of 3D Objects

This lesson unit is intended to help educators assess how well students are able to visualize two-dimensional cross-sections of representations of three-dimensional objects. - Modeling: Rolling Cups

This lesson unit is intended to help educators assess how well students are able to choose appropriate mathematics to solve a non-routine problem, generate useful data by systematically controlling variables, and develop experimental and analytical models of a physical situation. - 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.

- 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. - Fences - student task

This task has students design a fence that meets the city ordinances and the client's specifications. - Framing a House - student task

This task has students recreate house plans on graph paper and then determine how many linear feet of wall plate material will be needed. - Image Tool

Students are able to explore scale by measuring angles in various images in this activity in order to better understand ratio and proportion. - Miniature Golf - student task

This task requires students to redesign a miniature golf course to make it more challenging. - Modeling: Rolling Cups

This lesson unit is intended to help educators assess how well students are able to choose appropriate mathematics to solve a non-routine problem, generate useful data by systematically controlling variables, and develop experimental and analytical models of a physical situation. - Stairway - Student Task

This task students to design a stairway for a custom home. They will need to gather information regarding design, safety, and the utility of staircases. - Storage Shed - student task

Students are going to build storage sheds as a fund raising project, but before they can start they must determine the best dimensions for the shed, make scale drawings and decide on how much to charge for each shed.

- Representing Data 1: Using Frequency Graphs

This lesson unit is intended to help educators assess how well students are able to use frequency graphs to identify a range of measures and make sense of this data in a real-world context. - Representing Data 2: Using Box Plots

This lesson unit is intended to help educators assess how well students are able to interpret data using frequency graphs and box plots. - Statistical Analysis to Rank Baseball Players

In this videotaped lesson students rank the greatest NY Yankee homerun hitters using statistical analysis. (6 minutes)

- Fire!, Probability, and Chaos

A simulated forest fire is the starting place to help students understand probability and graphing and graph interpretation, mean, and variance. - Interpreting Statistics: A Case of Muddying the Waters

This lesson unit is intended to help educators assess how well students are able to interpret data and evaluate statistical summaries and critique someone else's interpretations of data and evaluations of statistical summaries. - Lesson Starter: Solving Math Problems with a Team

Students will work in teams to solve mathematical problems; they listen to the reasoning of others and offer correction with supporting arguments; they modify their own arguments when corrected; they learn from mistakes and make repeated attempts at solving problems. - Marbles

This activity helps the student understand randomness and probability by pulling marbles out of a bag. - Probability: Playing with Fire

This lesson is designed to help students understand possible outcomes of a probability experiment. - Replacement and Probability

This lesson will help students learn the difference between sampling with and without replacement. - Unexpected Answers

This lesson shows students some unexpected outcomes to probability problems and shows how fairness in games is not always as it seems.

- Fire!, Probability, and Chaos

A simulated forest fire is the starting place to help students understand probability and graphing and graph interpretation, mean, and variance. - Interpreting Statistics: A Case of Muddying the Waters

This lesson unit is intended to help educators assess how well students are able to interpret data and evaluate statistical summaries and critique someone else's interpretations of data and evaluations of statistical summaries. - Lesson Starter: Solving Math Problems with a Team

Students will work in teams to solve mathematical problems; they listen to the reasoning of others and offer correction with supporting arguments; they modify their own arguments when corrected; they learn from mistakes and make repeated attempts at solving problems. - Probability: Playing with Fire

This lesson is designed to help students understand possible outcomes of a probability experiment. - Replacement and Probability

This lesson will help students learn the difference between sampling with and without replacement. - Unexpected Answers

This lesson shows students some unexpected outcomes to probability problems and shows how fairness in games is not always as it seems.

- 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. - IXL Game: Probability: Permutations

This game is designed to help students use permutations and combinations to compute probabilities of compound events and solve problems. This is just one of many online games that supports the Utah Math core. Note: The IXL site requires subscription for unlimited use. - 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.

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.