## Baseball helmets introduction to systems by substitution and graphing.pdf - Section 2: Beginning the New Activity

*Baseball helmets introduction to systems by substitution and graphing.pdf*

*Baseball helmets introduction to systems by substitution and graphing.pdf*

# Baseball Helmets Day 1 of 2

Lesson 4 of 15

## Objective: SWBAT connect solving systems of equations by graphing to solving systems by substitution and discuss when using an equation is more accurate.

## Big Idea: Connect solving systems of equations to real life baseball helmets and reading tables to find the equations for solving by substitution.

*50 minutes*

#### Bellringer: Warm-up

*10 min*

Write the following on the board:

Find solution(s) that make the following equations true:

(2/3)x - 14 = 3(4x + 5)2y + 4 = x-2(5x - 4) = 8 - 10x2x^2 = -14

The goal of this bellringer is to review with students the algebraic process of solving equations and to make them think about solutions to equations. Some equations have only one solution, some infinite solutions, and others no solution. The lesson today is trying to guide students to solve systems of equations by using substitution and getting more algebraic when the given equations are in slope intercept form.

Allow students time to work within cooperative groups to answer each of these equations: The first equation has one solution, second has infinite solutions, third is all real numbers, and last equation is no solution. Move about the room providing feedback to move learning forward and listen to conversations to decide who you want to present to the whole group because their thinking is so valuable and algebraic. You want students who present to the class to discuss the structure of the equation and how it determined the number of possible solutions. Have student groups come to the board and explain how they arrived at their solution for a given equation.

*expand content*

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- LESSON 1: Unit Project: The Tortoise and the Hare Day 1 of 2
- LESSON 2: Pennies Lab Introduction to Systems of Equations Day 1 of 2
- LESSON 3: Pennies Lab Introduction to Systems of Equations Day 2 of 2
- LESSON 4: Baseball Helmets Day 1 of 2
- LESSON 5: Baseball Helmets Day 2 of 2
- LESSON 6: Classifying Solutions to Linear Equations Formative Assessment Lesson Day 1 of 3
- LESSON 7: Classifying Solutions to Linear Equations Formative Assessment Lesson Day 2 of 3
- LESSON 8: Classifying Solutions to Linear Equations Formative Assessment Lesson Day 3 of 3
- LESSON 9: Unit Project: The Tortoise and the Hare Day 2 of 2
- LESSON 10: Introducing Linear Combinations (Elimination Method)
- LESSON 11: Introducing Solving Systems of Equations by Substitution
- LESSON 12: Battleship Activity Day 1 of 2
- LESSON 13: Battles Ship Activity Day 2 of 2
- LESSON 14: Systems of Simultaneous Linear Equations Unit Exam Day 1 of 2
- LESSON 15: Systems of Simultaneous Linear Equations Unit Exam Day 2 of 2