Order of Operations

For Logic Pre-Algebra:  This morning, we did something a little different.  I gave the students three terms from our math vocabulary: order of operations, equation, and repetend. We read the definitions and then each student was to give a summary of how the term they chose of the three reflected the word “perseverance,” our 30 Character Quality word for the day.  Here were their answers.

Emma:  “The order in which we solve a problem reminds me of PEMDAS and the Order of Operations.  You need perseverance to follow it through even when some of the steps are hard.”

Sebastian:  “Through perseverance, I am persuaded that an equation is true.”

Alejandro:  “Sometimes you need perseverance in the order of operations because it get repetitive.”

This brought us to talk about G.K. Chesterton’s quote “Because children have abounding vitality, because they are in spirit fierce and free, therefore they want things repeated and unchanged. They always say, “Do it again”; and the grown-up person does it again until he is nearly dead. For grown-up people are not strong enough to exult in monotony. But perhaps God is strong enough to exult in monotony. It is possible that God says every morning, “Do it again” to the sun; and every evening, “Do it again” to the moon. It may not be automatic necessity that makes all daisies alike; it may be that God makes every daisy separately, but has never got tired of making them. It may be that He has the eternal appetite of infancy; for we have sinned and grown old, and our Father is younger than we.”

 Ellie:  “If a repetend somehow had an active conscience/free will, then it would (most likely) continue to repeat in order to equalize what it applies to.”

Christopher:  “God is a God of order and peace.  God is immutable; God never changes His mind.”

Jacob:  “I must persevere and make a perseverance speech about math such as order of operations or PMDAS.”



Christopher opened our day with a word about “perseverance” from the 30 Character Qualities and Psalm 119:46, “I will speak of your testimonies also before kings and will not be put to shame” (AMP). He said, “Perseverance is having faith even when times get tough.”  This brought us to talk about what it looks like to continue to speak of the testimony of Jesus even when persecution may come because of our perseverance.  Acts 5:25-32 set the stage for our conversation, “So they brought them and set them (the apostles) before the council (Sanhedrin).  And the high priest examined them by questioning, saying, we definitely commanded and strictly charged you not to teach in or about this Name [they were trying to shame them so they would not speak anymore in His Name]; yet here you have flooded Jerusalem with your doctrine and you intend to bring this Man’s blood upon us.  Then Peter and the apostles replied, we must obey God rather than men” (AMP). What a powerful word to begin our day with.  Thank you, Christopher, for the bold word!


Aliyah led us through devotion on the word “forgiveness” from our 30 Character Qualities. She spoke to us about why we forgive (Matthew 6:14, Ephesians 4:32).  She talked to us about conditions of forgiveness like repentance (see Luke 17:3-4).  She gave us examples of forgiveness like Jesus in Luke 23:34 and Stephen in Acts 7:60. She also shared some interesting things like Romans 12:20, “If your enemy is hungry, feed him.  If he is thirsty, give him something to drink.  For in doing so you will be heaping fiery coals on his head” (HCSB).  She noted that this was interesting because it revealed a different purpose then the other examples in that the purpose of forgiveness was to bring our enemy to repentance through kindness.  She also talked about some questions she had in regard to First John 1:9 and Deuteronomy 31:6. This was a Scripture packed devotion.  Thank you, Aliyah.  You have given us some deep thoughts to think about.


For Logic Pre-Algebra:  We started off Math, Week 3, Semester 2, with a discussion about “circles” (Lesson 60, Algebra ½ Saxon).  We defined words like “radius, chord, diameter, circumference, and then solved problems that had to do with finding the circumference and the area of a circle.  We related this to forgiveness and the circular benefits and consequences of forgiving and not forgiving.  Consider for yourself the words of Matthew 6:14-15, “For if you forgive people their wrongdoing, your heavenly Father will forgive you as well.  But if you don’t forgive people, your Father will not forgive your wrongdoing” (HCSB).  It causes me to think, as I write this, about the saying, “What comes around goes around.”  See the circle?  I never looked at this verse like that before. Revelation!  We  integrated some Logic here. We see in Matthew 6:14-15 some “if, then” propositional statements (similar to the ones we broke down in Logic today—see Exercise 7a pages 47-49 in Intermediate Logic) which we broke down into symbolic form (F means you forgive people their wrongdoing, G means your heavenly father will forgive you): F⸧G ⸳ ~F~G.  How awesome is God to integrate the verse of the day with exactly what we are learning in Logic and Math …and as you will see in other strands too.

Our students brought problems to the board and when I asked them how they saw God revealed in their problem these were their responses:


PEMDAS reminded Christopher that God is a God of order.


Trichotomy Axiom’s three Possibilities reminded Alejandro of the Trinity.


Emma was reminded of God when she  was struggling with equivalence and then got it!


Aliyah modeled how to graph coordinate planes.  She was also reminded of the

Trinity as she graphed three points to a triangle.


Ellie simplified a very in depth problem and explained that God also breaks down and

simplifies difficult concepts—this led  us to talk about the parables and their  purpose (Matt. 13:11-15)




V__A6CFWeek 2, Semester 2, Ellie graciously led us through devotion on the word “attentiveness” from our 30 Character Qualities. She defined attentiveness as the action of paying close attention to something. Then, she led us to compare “orderliness” our word from last week (which came up quite a lot today) with our word from today “attentiveness.”  When talking about circumstances surrounding these two words, Ellie asked the question, “When are you most attentive?” Some answered, “When authority is speaking, when something is interesting, when we enjoy something, when playing video games, when someone is preaching the Word of God.”  To conclude, Ellie led us to talk about Nehemiah 1:6,11 which says, “…please let Your ear be attentive and Your eyes open to hear the prayer of Your servant which I am praying before You, day and night, on behalf of Your servants, the [a]sons (descendants) of Israel (Jacob), confessing the sins of the sons of Israel which we have committed against You; I and my father’s house have sinned…  We prayed that God would open our eyes to hear from Him and He answered our prayer all day long by making us attentive to his revelation in our Challenge B studies.

Digging for Truth in Math

For Logic Pre-Algebra:  We started off Math today talking about “Solving Equations in Two Steps” (Lesson 61 Saxon Algebra ½).  We had a Five Common Topic discussion wrapped around the terms variable and number.  This is what our board looked like when we were done.


We concluded at the end of our math hour when we contemplated the question, “How have we seen truthfulness revealed in our Math time?” that the Math Problem must be faithful to be true.  If it is not right then it is wrong.  We compared seeking the right answer in math to digging for the truth in God’s Word.  Sebastian led us in this process in week 7 (Second Semester) through modeling this for us in his own math problem.  In light of this truth, we talked about Matthew 7:8, “For everyone who asks receives; the one who seeks finds; and to the one who knocks, the door will be opened” (NIV). After this, students worked out their own math problems.


Emma: “Math must be faithful to the truth.”


Sebastian: “Seek and you will find.”


Aliyah: “PEMDAS…Where there’s order there’s peace.”


Ellie’s problem reminded her of simplification and the way God makes complex ideas simple to us through His Word.  Specifically noted: parables.  The class also helped Christopher build his problem up by giving him corrective feedback.  His problem was built up in love (remembering when Aliyah talked about this in our devotion this morning, “…let each one of you speak the truth with his neighbor, for we are members one of another” (Ephesians 4:25).


Science Fair Gleanings

Science Fair

When I asked each Challenge B student what they gleaned from their particular science fair project, these were their answers…

Alejandro: Find Your Might with the Right Lyte: I discovered that you can find expressions of God’s love for us everywhere, including natural sources.

Aliyah: Edible water bottle: Doable or Doubtful?: “So you shall not pollute the land in which you live” (Numbers 35:33a AMP).

Christopher:  A Reason to be Salty: God helped me persevere in completing my project.

Ellie: A Stroll down Memory Lane: Ellie hoped with her project to “remind people of Jesus by studying His work.”  Psalm111:2, “The Lord’s works are great, studied by all who delight in them.”

Emma: Learning in Color:  “Sometimes our plans differ from God’s and we need to trust that God knows what He is doing.”

Jacob: Can Oils Lower Your Blood Pressure: Jacob saw God in the way that oils are a natural remedy from God.

Sebastian:  To Chew or not to Chew: God created bacteria for good.

En Theos: Full of God

Emma brought many sweet devotions to our Challenge B table this year.  One that comes to mind was in Second Semester, Week 10, when she talked about the word “Enthusiasm” from the 30 Character Qualities and Romans 12:11, “Don’t be lazy in showing your devotion but use your energy to serve the LORD” (God’s Word Translation). She taught us that the word “Enthusiasm comes from the Greek words “en” and “theos” meaning “full of God” and that “Enthusiasm doesn’t just mean be excited about something but it means to be completely engrossed in it.”  Mark 12:30 states, “Love the Lord your God with all your heart and with all your soul and with all your mind and with all your strength.”  In sharing this verse, Emma said, “God doesn’t want us to be merely excited about Him, He wants us to be engaged all the time.” She concluded, “Being enthusiastic isn’t always easy

(Galatians 6:9).  We are called to be enthusiastic for God because not only will it help us to be better Christians, it will point others to Christ.”


Emma’s devotion

“tēlum” or “dart”

From Exercise 176, page 152 (First Year Henle Latin), “We are in Caesar’s camp on account of fear of the enemy.”

for blog

While going over our vocabulary on page 151, the word “tēlum” or “dart” became the topic of conversation.  Christopher related the word “dart” or “tēlum” to the story of David and Absalom in Second Samuel 18:14 which states, “Then said Joab, I may not tarry thus with thee. And he took three darts in his hand, and thrust them through the heart of Absalom, while he was yet alive in the midst of the oak” (KJV).  We also talked about how fear can drive us to take refuge in “safe” places (like Caesar’s camp—see above) that aren’t really safe.

We closed up the conversation with the truth that Jesus is the only, true safe place and Proverbs 18:10, “The Name of the LORD is a strong tower: the righteous runneth into it, and is safe” (KJV).  Running to Jesus in any given circumstance that incites fear is the “dart” that debilitates the enemy.

Skin like Armor

Research Natural Science

May God Himself, the God of peace, sanctify you through and through.  May your whole spirit, soul and body be kept blameless at the coming of our Lord Jesus Christ.  The one who calls you is faithful and He will do it” (First Thessalonians 5:23-24 NIV).

 In the homeschool classroom, our students are learning to draw and label different parts of the body.  By the end of the year, they will be able to draw and label the anatomy of the human body by memory.  That said, in class this week, we labeled and drew the skin and then talked about what we drew and labeled through the lens of Ezekiel 37:4-6.

Then he said to me, “Prophesy to these bones and say to them, ‘Dry bones, hear the word of the Lord! This is what the Sovereign Lord says to these bones: I will make breath[a] enter you, and you will come to life. I will attach tendons to you and make flesh come upon you and cover you with skin; I will put breath in you, and you will come to life. Then you will know that I am the Lord.’”

In these verses, we noted the respiratory system (breath), the heart (“you will come to life”), the skin (flesh, skin), and the skeleton (“dry bones”).  We talked about how the skin protects “the [physical] internal environment” just like the “full Armor of God” protects our spiritual internal environment (See Ephesians 6:10-20). “Therefore put on the full armor of God, so that when the day of evil comes, you may be able to stand your ground, and after you have done everything, to stand” (v. 13).

Recap: Spring Week 7, 2/24/16 

Prayer for lead learner and student:May God Himself, the God of peace, sanctify _______ through and through.  May _______ whole spirit, soul and body be kept blameless at the coming of our Lord Jesus Christ.  The one who calls ________ is faithful and He will do it” (First Thessalonians 5:23-24 NIV).