# Chutes and ladders - Quadratic equations review

This lesson is designed as a review lesson for solving quadratic equations. Students will play the game "Chutes and Ladders," modified for quadratic equations, as they review for the test.

**A lesson plan for grades 9–12 Mathematics**

## Learning outcomes

By the end of the lesson, the students will have reviewed how to solve quadratic equations using the four methods that we have studied in this unit: graphing, completing the square, quadratic formula, and factoring.

## Teacher planning

### Time required for lesson

60 minutes

### Materials/resources

- “Chutes and Ladders” game boards (I used similar game boards that I found at the dollar store.)
- 1 die for each group
- 1 pack of cards with 1 quadratic equation on each card for each group
- 4 game disks per group for moving along the board

## Pre-activities

Prior to this lesson, students will have spent a couple of weeks learning the different ways to solve a quadratic equation.

This lesson is designed as a review day.

## Activities

- The students will be divided into groups of four.
- Each group will be given a game board, 1 die, 1 pack of quadratic equation cards, and 4 disks to move along the board.
- Project the directions for playing this review game. The directions will read as follows:

Quadratic “Chutes and Ladders”

- Draw a card.
- Roll the die.
- If you roll a 1 or a 6, then solve your quadratic equation by completing the square.
- If you roll a 2 or a 5, then solve your quadratic equation by using the quadratic formula.
- If you roll a 3, then solve your quadratic equation by graphing.
- If you roll a 4, then solve your quadratic equation by factoring if possible. If not, then solve it another way.
- If you solve your equation correctly, then you may move on the board the number of spaces that corresponds to your roll of the die.
- If you answer the question incorrectly, then the person to your left has the opportunity to answer your question and move your roll of the die.
- The first person to reach the end of the board first wins the game!
- Good luck!!

## Assessment

- Students will double check each other’s answers in order to make sure that their opponents have successfully completed their questions in order to move along the board.
- At the end of the period, students will turn in their solutions, including work shown, for the questions on the cards that were used for the game.

## Supplemental information

### Comments

This lesson can be used as a review for any topic by creating new cards. For example, the game could be used for solving systems of equations by graphing, multiplication/elimination, substitution, matrices, or Cramer’s Rule. Also, the game could be adapted to fit whatever amount of time you wanted.

- Common Core State Standards
- Mathematics (2010)
#### High School: Algebra

- Reasoning with Equations & Inequalities
- ALG.REI.4Solve quadratic equations in one variable. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form. Solve...

- Reasoning with Equations & Inequalities
#### High School: Functions

- Interpreting Functions
- FUN.IF.7Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.★ Graph linear and quadratic functions and show intercepts, maxima, and minima. Graph square root,...
- FUN.IF.8Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and...

- Interpreting Functions

## North Carolina curriculum alignment

### Mathematics (2004)

#### Grade 9–12 — Algebra 1

**Goal 4**: Algebra - The learner will use relations and functions to solve problems.**Objective 4.02**: Graph, factor, and evaluate quadratic functions to solve problems.

#### Grade 9–12 — Algebra 2

**Goal 2**: Algebra - The learner will use relations and functions to solve problems.**Objective 2.02**: Use quadratic functions and inequalities to model and solve problems; justify results.- Solve using tables, graphs, and algebraic properties.
- Interpret the constants and coefficients in the context of the problem.

**Objective 2.04**: Create and use best-fit mathematical models of linear, exponential, and quadratic functions to solve problems involving sets of data.- Interpret the constants, coefficients, and bases in the context of the data.
- Check the model for goodness-of-fit and use the model, where appropriate, to draw conclusions or make predictions.

#### Grade 9–12 — Integrated Mathematics 2

**Goal 3**: Data Analysis and Probability - The learner will collect, organize, and interpret data to solve problems.**Objective 3.02**: Create and use, for sets of data, calculator-generated models of linear, exponential, and quadratic functions to solve problems.- Interpret the constants, coefficients, and bases in the context of the data.
- Check the model for goodness-of-fit and use the model, where appropriate, to draw conclusions or make predictions.

**Goal 4**: Algebra - The learner will use relations and functions to solve problems.**Objective 4.02**: Use quadratic functions to model and solve problems; justify results.- Solve using tables, graphs, and algebraic properties.
- Interpret the constants and coefficients in the context of the problem.

#### Grade 9–12 — Integrated Mathematics 3

**Goal 3**: Algebra - The learner will use relations and functions to solve problems.**Objective 3.02**: Use quadratic functions and inequalities to model and solve problems; justify results.- Solve using tables, graphs, and algebraic properties.
- Interpret the constants and coefficients in the context of the problem.

#### Grade 9–12 — Integrated Mathematics 4

**Goal 2**: Geometry and Measurement - The learner will describe geometric figures in the coordinate plane algebraically.**Objective 2.01**: Use the quadratic relations (parabola, circle, ellipse, hyperbola) to model and solve problems; justify results.- Solve using tables, graphs, and algebraic properties.
- Interpret the constants and coefficients in the context of the problem.

#### Grade 9–12 — Technical Mathematics 2

**Goal 2**: Algebra - The learner will use relations and functions to solve problems.**Objective 2.01**: Use quadratic equations to model and solve problems; justify results.- Solve using tables, graphs, and algebraic properties.
- Interpret the constants and coefficients in the context of the problem.

**Objective 2.03**: Create, interpret, and analyze best-fit models of linear, exponential, and quadratic functions to solve problems.- Interpret the constants, coefficients, and bases in the context of the data.
- Check the model for goodness-of-fit and use the model, where appropriate, to draw conclusions or make predictions.