Alice's Math: inequalities

Showing posts with label inequalities. Show all posts

Thursday, March 23, 2017

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

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

Tuesday, March 21, 2017

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

Thursday, March 16, 2017

Algebra I

Today we discussed
We continue to explore functions and graphing. Today we discussed how to graph inequalities. We reviewed the difference between strictly less than or greater than (< , >) and less than or equal to or greater than or equal to (≤, ≥), and whether to include the line or not in the graph of the solution. You can find another lesson on graphing inequalities by going here:
http://www.mathsisfun.com/algebra/graphing-linear-inequalities.html

From here, we moved to to a discussion about slope with slope being defined as rise over run. Another way to express slope is

change in y

change in x

Sections Covered in Textbook
1) 9-6: Graphing Inequalities in Two Variables (pages 379-383)
2) 10-1: Slope of a Line (pages 400-404)

Video Tutorials
1) Graphing Inequalities

2) What is the Slope of a Line?

http://www.virtualnerd.com/algebra-1/linear-equation-analysis/slope-rate-of-change/understanding-slope/slope-definition

3) Slope Formula

http://www.virtualnerd.com/algebra-1/linear-equation-analysis/slope-rate-of-change/understanding-slope/slope-formula-definition

4) Find Slope from Two Points

http://www.virtualnerd.com/algebra-1/linear-equation-analysis/slope-rate-of-change/slope-examples/slope-from-two-points

Assignments
1) Page 382#'s 19-47 odd, 48
2) Page 403 #'s 15-31 odd

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK

Pre-Algebra

Class did not meet today. Please review the lesson we completed in September that covered the distributive property. A link to the blog entry can be found by clicking here.

Assignments
1) Worksheet on the Distributive Property
Download Worksheet and Answers Here!

**PLEASE CHECK ODD ANSWER IN BACK OF TEXTBOOK