Topics for March 23rd

Algebra I

Today we discussed
We are working steadily on the concept of linear equations and their various forms.  Today we discussed the slope-intercept form of a line, and determined the x-intercepts and y-intercepts of a line.  We also summarized all we know about lines so far:

Sections Covered in Textbook
1) 10-3: Slope-Intercept Form of Linear Equations (pages 410-414)

Video Tutorials
1)  Slope-Intercept Form of a Line
http://www.virtualnerd.com/algebra-1/linear-equation-analysis/slope-intercept-form/slope-intercept-form-examples/slope-intercept-form-definition
2)  A whole bunch of videos on Slope-Intercept form can be found here....
http://www.virtualnerd.com/pre-algebra/linear-functions-graphing/slope-intercept-form/slope-intercept-form-examples

Assignments
1)  Pages 413-414 #'s 21-53 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

---

Pre-Algebra

Today we discussed
We reviewed multi-step equations including those that contain fractions.  We discussed two different methods for solving these, with the second method involving multiplying every piece of an equation to eliminate the fractional pieces.  From there, we moved on to solving multi-step inequalities.  We also worked on translating sentences into equations and inequalities.

Recall:

When multiplying or dividing by a negative number,
you must flip/change/reverse the inequality sign
to keep the truth of the inequality!  

Sections Covered in Textbook
1) 7-6: Solving Multi-Step Inequalities (pages 270-271)

Video Tutorials
1) Solving Multi-step Inequalities

• http://www.virtualnerd.com/pre-algebra/inequalities-multi-step-equations/inequalities-multiple-steps/solve-multiple-step-inequalities/multi-step-reverse-order-of-operations
• https://www.khanacademy.org/math/algebra/one-variable-linear-inequalities/multi-step-inequalities/v/multi-step-inequalities

2)  Translating Sentences into Multi-Step Inequalities
https://www.educreations.com/lesson/view/translating-sentence-to-multi-step-inequality/14680201/

Assignments
1) Page 271 #'s 9-33 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Concepts for March 21st

Algebra I

Today we discussed
First we reviewed slope as rise over run and used our slope formula to find missing coordinates when given an incomplete point, a second point, and the value for the slope.  Then our discussion about graphing and functions moved into the various forms that represent lines.  We discussed the point-slope form and the standard form of a line.  When given a point and the slope, we plugged those values into the point-slope formula and then solved to put the line in its standard form.

Recall:

Standard form of a line is:

Ax + By = C

Point-slope Form of a line is

y - y₁ = m(x - x₁) where m=slope and (x₁,y₁) is a given point.

Sections Covered in Textbook
1) 10-1: Slope of a Line (Page 402 - Example 5)

2) 10-2:  Point-Slope and Standard Forms of Linear Equations (pages 405-409)

Video Tutorials
1)  Writing Equations in Point-Slope form
http://www.virtualnerd.com/algebra-1/linear-equation-analysis/point-slope-standard-form/point-slope-examples/point-slope-line-direct-example
2)  Writing an Equation of a Line in Standard Form when given a point and the slope
http://www.virtualnerd.com/algebra-1/linear-equation-analysis/point-slope-standard-form/standard-form-examples/write-linear-equation-standard-form-slope-point

Assignments
1) Page 404 #'s 32, 34, 36-39, 40, 41
2) Page 408 #'s 15-35 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

---

Pre-Algebra

Today we discussed
We are getting really competent at solving more and more complex equations.  We reviewed the different types of equations and the distributive property, and moved into multi-step equations and the steps needed to solve those.  We also reviewed basic solving of inequalities and then began our exploration of solving multi-step inequalities.

Sections Covered in Textbook
1)  7-5:  Solving Multi-Step Equations (pages 267-269)

2)  7-6:  Solving Multi-Step Inequalities (pages 270-271)

Video Tutorials
1) Solving Multi-Step equations using the Distributive Property
http://www.virtualnerd.com/pre-algebra/inequalities-multi-step-equations/equations/solve-multiple-step-equations/distributive-propertiy-multi-step-example
2) How to Solve Multi-Step Equations
https://www.youtube.com/watch?v=ahtHbGYSZ-4

Assignments
1) Page 55268 #'s 11-16 all, 17-23 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Moving on . . . March 9th

Algebra I

Today we discussed
We are getting more in depth on the concepts of relations.  We discussed the requirements for linear equations - that is, any equation that can be written in the form of Ax + By = C is a linear equation.  Today, we worked on graphing linear equations and talked about intelligent selection of our domain (x) values.  Remember this discussion when you are dealing with fractions!  We then briefly touched on functions, and will revisit this topic during our next class.

Sections Covered in Textbook
1)  9-4: Graphing Linear Relations (pages 369-373)

Video Tutorials
1) Graphing Linear Equations Using a Table
http://www.virtualnerd.com/algebra-1/relations-functions/graphing-linear-equations/graphs-examples/linear-equation-graphing-method

Assignments
1) Page 372 #'s 17-43 odd, 47
2) Page 661 #'s 35-45 odd (This should be review....)

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

---

Pre-Algebra

Today we discussed
We reviewed two-step equations and equations with variables on both sides.  A review of solving two-step equations can be found on the Pre-Algebra section of the blog by clicking here.  A review of solving equations with variables on both sides can be found on the Pre-Algebra section of the blog by clicking here!

Sections Covered in Textbook
1)  7-4: Variables on Each Side (pages 263-266)  (*This was review work.*)

Video Tutorials
1) Variables on both sides of equation
https://www.youtube.com/watch?v=fDMxOiS5g7k

Assignments
1) Page 266 #'s 14-36 even