4-4 Linear Inequalities in Two Variables – We practiced graphing solutions to linear inequalities in two variables. Then we practiced representing constraints with inequalities and interpreting solutions as viable or nonviable options in a modeling context.
Review for Test on Topic 4 Systems of Linear Equations and Inequalities.
Test on Topic 4 Systems of Linear Equations and Inequalities.

We practiced stoichiometry problems that also involved mass-mole conversions.

This week President Biden announced a ban on US imports of Russian oil and gas. This policy is part of unprecedented economic sanctions punishing Moscow over its invasion of Ukraine. The ban is partly a response to strong bipartisan pressure from Congress. The US and its allies may be reaching the limits of what they can do to help Ukraine with possible cracks in an alliance to help Ukraine. For instance, Poland is understandably concerned about Russian aggression. Ukrainian President Zelensky aptly described Russia's bombing of a maternity and children's hospital yesterday as an 'atrocity.' The US and its allies have taken a number of steps to help Ukraine, including providing weapons and enacting sanctions and now a ban on the US import on Russian oil. The US and other NATO members have so far provided Ukraine 17,000 anti-tank missiles and 2,000 Stinger anti-aircraft missiles. Since the end of WWII, aspects of military engagement and warfare have changed. The U.S. government, other democracies and NATO members are desperately trying to find a way to effectively support Ukraine against a very unstable super power. As the world watches and waits - there are no easy answers.

Bella was absent.

During the Progressive Era began from 1900 - 1917, progressive reformers worked at both local and national levels to address a wide range of reform issues. After the assassination of President McKinley in 1901, Theodore Roosevelt became President and was a progressive reformer. Roosevelt worked to expand the power of the federal government with many Progressive reforms. Some of these reforms were aimed at big business, monopolies, trusts (such as the railroad) and he became known as a "trust buster". Roosevelt wanted the federal government to regulate businesses. He was also interested in social reforms. He advocated for health and labor laws, fair trade, workplace safety, conservation of land under federal protection. Roosevelt's role as President strengthened the Progressive movement and it did improve the lives of everyday citizens. Progressive activists came from a variety of backgrounds. President Woodrow Wilson was another notable progressive reformer. Social reforms such as prohibition and suffrage were successful during Wilson's presidency with the passage of two constitutional amendments. There were a handful of important progressive-era economic reforms under Wilson, as well, including the establishment of the IRS and the introduction of the income tax.

4-4 Linear Inequalities in Two Variables – We learned that the graph of a linear inequality in two variables shows the solutions of the inequality as a half-plane above or below the boundary line. Then we learned that the boundary line is included in the solution when the inequality symbol is less than or equal to or greater than or equal to. The boundary line in an inequality is excluded when the inequality symbol is less than or greater than.
Assignment: For homework complete assigned problems.

4-3 solving Systems of Equations by Elimination – We practiced solving systems of linear equations by elimination and proving that the sum of one equation and a multiple of the other produces a system with the same solutions as the original system. Then we practiced representing constraints with a system of equations in a modeling context.
Assignment: For homework complete assigned problems.

I had listened to and notated the two song phrases Bella found difficult, in order to demonstrate them for her to learn before her voice assessment. We then used a program called Musicca, where I did aural training with Bella singing and identifying requested Intervals. She also created a complex rhythm pattern on the virtual drumset.

Today, Bella and I started the class with a conversation in Spanish. At every opportunity, I tried to work the verbs from her upcoming test into the conversation.

She was then given 5 minutes to study her vocabulary.

After that, we read 3 poems by the Argentinian poet Douglas Wright. These poems were perfect as they are meant for children and are easily digestible by new language learners.

We did some minor disection of the poems meanings and plays on words.

Bella was then shown a video dealing with cooking and we read a conversation from her text also dealing with cooking.

We introduced stoichiometry. We learned how to write mole ratios and do basic stoichiometry problems.