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1. 2 MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3 A.2.c – Write one-variable and multi-variable linear equations to represent context. A.3.a –

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Page 1: 1. 2 MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.2.c – Write one-variable and multi-variable linear equations to represent context.  A.3.a –

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Page 2: 1. 2 MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.2.c – Write one-variable and multi-variable linear equations to represent context.  A.3.a –

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Page 3: 1. 2 MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.2.c – Write one-variable and multi-variable linear equations to represent context.  A.3.a –

MATHEMATICAL REASONING INSTITUTE

LESSON GOALSLESSON GOALS

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A.2.c – Write one-variable and multi-variable linear equations to represent context.

A.3.a – Solve linear inequalities in one variable with rational number coefficients.

A.3.d – Write linear inequalities in one variable to represent context.

A.4.a – Solve quadratic equations in one variable with rational coefficients and real solutions, using appropriate methods.

A.4.b – Write one-variable quadratic equations to represent context.

 

Page 4: 1. 2 MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.2.c – Write one-variable and multi-variable linear equations to represent context.  A.3.a –

MATHEMATICAL REASONING INSTITUTE 4

WORKING WITH WORKING WITH THE CONTENTTHE CONTENT

Cooperative Learning In Small Groups

Page 5: 1. 2 MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.2.c – Write one-variable and multi-variable linear equations to represent context.  A.3.a –

MATHEMATICAL REASONING INSTITUTE

What is the Message? What is the Message?

y = 30x

X y

1 30

2 60

3 90

4 120

y = 30x

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• If you type 30 words per minute, the number of minutes can be x, and the total number of words (y) will be 30x.

• A driver drives 30 miles per hour. In x hours she travels 30x miles (y).

Page 6: 1. 2 MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.2.c – Write one-variable and multi-variable linear equations to represent context.  A.3.a –

MATHEMATICAL REASONING INSTITUTE

Process:Using the handout complete the

4 tasks for the equation you receive

Prepare a poster of your results to share with the class

15 minutes to complete

What is the Message? ActivityWhat is the Message? Activity

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Page 7: 1. 2 MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.2.c – Write one-variable and multi-variable linear equations to represent context.  A.3.a –

MATHEMATICAL REASONING INSTITUTE

Process:

Complete the table in problem 1

Compare your answer to the first one in the table with another group before moving on

Complete the table in problem 2

Compare your answer to the first one in the table with another group before moving on

15 minutes to complete

Linear Inequalities Linear Inequalities Skill Builder ActivitySkill Builder Activity

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Page 8: 1. 2 MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.2.c – Write one-variable and multi-variable linear equations to represent context.  A.3.a –

MATHEMATICAL REASONING INSTITUTE

ProcessWill work in small groups to complete the skill builder activityComplete all five parts of the activityComplete the discussion questions if time allows – time allotment will be 20 minutesThink about how you could use this activity in your own classroom.

Use Quadratic Equations to Use Quadratic Equations to Analyze Projectile MotionAnalyze Projectile Motion

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Page 9: 1. 2 MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.2.c – Write one-variable and multi-variable linear equations to represent context.  A.3.a –

MATHEMATICAL REASONING INSTITUTE

h = -16t2 + vot + ho

h = the height of the object in feet

at time t in seconds

Vo = the initial upward velocity

ho = the initial height of the object

Projectile MotionProjectile Motion

Page 10: 1. 2 MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.2.c – Write one-variable and multi-variable linear equations to represent context.  A.3.a –

Reflections of Reflections of LearningLearning

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Page 11: 1. 2 MATHEMATICAL REASONING INSTITUTE LESSON GOALS 3  A.2.c – Write one-variable and multi-variable linear equations to represent context.  A.3.a –

MATHEMATICAL REASONING INSTITUTE

Did the activities help you to better understand and master the learning goals? Why or why not?

As an instructor, what must you do in order to prepare to present such activities to your students?

What might you do differently with these two activities?

Think / Pair / ShareThink / Pair / Share

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