Integrated Math 3

Unit 1 Modeling Problem Situations

1-1 Algorithms

Objective:Students will be able to analyze and write Algorithms for both real-world and mathematical situations.

Sample 2 (pg 5)

• Use two different algorithms to solve the inequality

-3x + 9 < 4• Compare the two algorithms you

used.

Write an Algorithm

• Graph y=2x-4• Think of how you created the

graph.• Write an Algorithm to graph an

equation of a line in slope-intercept form.

Write an Algorithm

• Graph 3x+2y=12• Think of how you created the

graph.• Write an Algorithm to graph an

equation of a line in standard form.

Look Back (pg 6)

What are some things to keep in mind when you write a set of directions to solve a problem?

1-2 Systematic Lists

Objective:To use organized or systematic lists to solve problems.

Systematic Lists

When there are many possibilities to explore, such as in the exploration, you can use a systematic or organized, list to make sure that you do not leave out or repeat any combinations.

Sample 1 (pg 10)

Find all the different triangles that have sides with whole-number lengths and perimeter of 12.

Sample 2 (page 11)

• Paula Hernandez is the manager of an automobile repair service. She lists the number of hours needed to complete the repair work on the cars waiting for service.

• See Page 11

1-3 Using Statistics

Objective:Use statistics and data displays; line graphs, box and whisker plots and scatter plots, to draw conclusions

1-5 Using Systems of EquationsObjective: •Using Systems of Equations to Model situations•Solving Systems of Equations•Using Matrices to Solve Systems of Equations•3x3 Systems of Equations

1-6 Using Diagrams

Objective:Use Diagrams to solve problems