Modular Math: Number Sense – Gather 'Round Homeschool USA
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Modular Math
Number Sense header
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Try it free for one week Take the placement test
  • Foundations: Kindergarten equivalent
  • Step 1: Grade 1 equivalent
  • Step 2: Grade 2 equivalent
  • Step 3: Grade 3 equivalent
  • Step 4: Grade 4 equivalent
  • Step 5: Grade 5/6 equivalent
  • Step 6: Grade 7/8 equivalent

It’s time to rethink math . . .

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Tested and approved by hundreds of beta testing families! • Real results without the tears • Try  it  free  for  one  week •

Number Sense

Welcome to Number Sense, the first unit in our innovative Modular Math curriculum for Kindergarten–Grade 8. This unique program is both spiral and mastery and completely tailored to you. Unlike most math curricula that are yearly workbooks with extra teacher’s guides and tests, Modular Math is simple and open-and-go. Each unit is separated by topics so you can place your student exactly where they need to start. Thirteen units with seven levels each (Foundations through Step 6) will release every eight weeks. Every unit is beta tested to ensure clarity and effectiveness, so you can focus on teaching while we do the hard work for you.

Release Date: Now Available!

Take the Placement Test

Take the tests to see what level to try!

Modular Math Number Sense

These are the main books in print and you will need one per student. Each step lasts about 5 weeks and contains a grade equivalent of content related to that topic. Spiral review is built in to all our levels as we explore multiple operations.

$10 each
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Number Sense Skill Builders

These are the digital Skill Builders that have three extra practice sheets. They can be used for additional practice, reinforcement of concepts, or even to fill in gaps while you wait for your books to come. They are an instant download.

$1.95 each
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Placement Visual

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Number Sense Certificate

When you complete the unit, grab a certificate to celebrate your progress!

Download Certificate
Number Sense Certificate
Number Sense Scope and Sequence
  • Numbers 0–9
  • Every number has a name
  • Count by 1's
  • Count objects to learn number meaning
  • Represents numbers 0–9 with concrete objects, pictures, and kinesthetic movement
  • Read, trace and write numbers 0–9
  • Matches sets and numbers
  • Demonstrate number comprehension: 0–9
  • Bible: Hebrew words for numbers 0–9
  • Count forward + back 0–10
  • Take one away from 10 down to 0
  • Real-life applications of counting down
  • Count forward to 10 + backward from 10
  • Express number meaning by drawing or circling objects
  • Demonstrate number comprehension using kinesthetic approach
  • Count and identify 1 more than or 1 less than a number 0–10
  • Bible: 2 Peter 3:9
  • Tally marks 1–10
  • Group tally marks in sets of 5
  • Trace + draw tally marks
  • Understand relationship between tally marks + number meaning
  • Bible: 1 Corinthians 13:4–5
  • Numbers: 11–20
  • 2 digits together: make new number
  • Count from 11–20
  • Number recognition: 11–20
  • Understand numbers 11–12 as a group of 10 and 1s
  • Number meaning: 11–20
  • Represents numbers 11–20 using pictures + kinesthetic movement
  • Bible: Hebrew words for numbers 11–20
  • Compare numbers within 20
  • Real life application of bigger + smaller
  • Understand terms used in comparing: bigger, larger, more + lesser, smaller, less
  • Identify smaller + larger numbers
  • Identify the larger + shorter path
  • Demonstrate understanding of comparing quantities
  • Demonstrate understanding of comparing numbers
  • Bible: 2 Corinthians 10:12b
  • Comparing ourselves to others
  • Numbers before and after
  • Identify + represent numbers before and after
  • Identify a set of numbers in the correct order
  • Complete the set of 3 descending numbers with the correct number
  • Identify numbers that come before + after
  • Bible: Jeremiah 1:5
  • God knows us + loves us
  • He decided our beginning + has a plan for us
  • Count by 2s
  • Use pictorial cues to skip count by 2s
  • Practice skip counting out loud following written numbers
  • Demonstrate understanding of counting by 2
  • Circle objects into groups of 2
  • Use concrete objects to count by 2s
  • Fill in the missing numbers when counting by 2s
  • Bible: two of every single bird, animal, + insect on the ark
  • Genesis 7:8–10
  • Count 1–20 using the number line
  • Number line: useful for skip counting, comparing numbers, + before and after
  • Parts of a number line
  • Identify and fill in missing parts + numbers on a number line
  • Understand number relationships using a number line
  • Use a ruler to measure objects + compare numbers
  • Create a number line on paper or using concrete objects
  • Bible: God has no beginning and no end
  • Psalm 90:2
  • God is faithful
  • Ordinal numbers to 5
  • Identify + represent ordinal position
  • Understand + use ordinal numbers: 0–5
  • Match the ending of ordinal number names with the written numbers
  • Number events in a list in the correct order
  • Bible: Matthew 6:33
  • Make God our priority
  • Dozen/half dozen
  • Use concrete objects to understand + show dozen and half dozen
  • Group pictures into half dozen and dozen
  • 2 half-dozens = 1 dozen
  • Kinesthetic activity to represent a dozen
  • Demonstrate understanding of terms: dozen + half dozen
  • Bible: Jesus and His twelve disciples
  • The Holy Spirit lives in you when you choose to follow Jesus
  • Number words zero to five
  • Express numbers in 3 ways: quantity of objects, symbol/digits, + word
  • Real-life applications of number words
  • Read, spell, + write number words: zero to five
  • Understand meaning of number words zero to five
  • Use concrete objects to show number comprehension
  • Bible: Hebrew words for numbers
  • Review: tally marks to represent a number
  • Review: skip count by 2s to 10
  • Count by 2s: 0–20
  • Benefits of learning to count by 2
  • Use visual cues to count by 2
  • Pair: a group of two
  • Identify 2 more and 2 less using a number line
  • Bible: groups of 2 throughout
  • Ecclesiastes 4:9
  • Review: writes + reads number symbols 0–20
  • Tally marks 1–20
  • Counting by 5: every number will end in 0 or 5
  • Count by 5s
  • Count the tally marks + identify the number they represent
  • Use tally marks to represent quantity + number
  • Bible: Jesus had 12 apostles
  • Mark 3:14
  • When we confess, God forgives us
  • Jesus's blood washes us clean
  • Compare numbers within 20
  • Read, write, + understand greater than/less than equations
  • Correctly use the > and < symbols
  • Understand terms for comparing
  • Bible: God's value system is different than ours
  • 1 Samuel 16:7b
  • God looks at our motivation
  • Ordinal numbers to 10
  • Read + write ordinal numbers and ordinal number words
  • Match the ordinal number to its small ending: first through tenth
  • Ordinal numbers can be shown in 3 ways: objects, symbols with small letters, written words
  • Understand and use ordinal numbers to 10
  • Bible: Matthew 19:30
  • Test our hearts, thoughts + motivations
  • Review: counting forward + back using visual cues
  • Number words six to ten
  • Read, write, + spell number words: six to ten
  • Represent quantities of number words zero to ten
  • Understand and use number words zero to ten
  • God created everything in six days
  • Bible: Genesis 2:3
  • Seventh day: God rested from all his work
  • Place value to 10
  • Introduction to place value: one's and ten's
  • Each place can only fit 9
  • Count by 10s
  • Identify digits in one's and ten's places
  • Use place value knowledge to compose 2-digit numbers
  • Bible: Ten commandments given to Moses from God
  • Count by 5s and 10s
  • Use visual cues to count by 5
  • Use visual cues to count by 10
  • Demonstrate understanding of counting by 5
  • Demonstrate understanding of counting by 10
  • Bible: Jesus took five loaves and two fish, multiplied them, and fed 5,000 people
  • Place value to 100
  • Understand that numbers have rules they always follow
  • Identify digits and place value in 3-digit numbers
  • Understand value of each place to hundred's
  • Bible: Luke 15:4–7
  • God cares about each and every one of us
  • Odd and even numbers
  • Identify, use, + understand even and odd numbers
  • Write + spell even and odd
  • Bible: God teaches us to forgive, love, + rejoice for others
  • Deuteronomy 31:8
  • God is always with you: you are never left out by Him
  • Place value to 1,000
  • Numbers: mean different things based on place
  • Read + write whole numbers to the thousands (4-digit numbers)
  • Understand places each only fit 0–9
  • Skip count by tens to 100
  • Identify the place value of digits to 1,000
  • Demonstrate understanding of place value in 4-digit numbers
  • Bible: God made us to walk with Him, but sin entered
  • Sin: broken world
  • Jesus: making a new home for us
  • John 14:2–3
  • Review: even numbers, comparing, tally marks, count by 5s, ordinal numbers
  • Number words and word problems
  • The process for solving word problems
  • Real life applications for spelling number words
  • Demonstrate understanding of word problems
  • Read, spell + write number words: eleven to twenty
  • Understand meaning of number words
  • Clue words in word problems: most
  • Read + solve word problems: ordinal numbers, subtraction, comparing numbers, skip count by 2s
  • Comparing numbers: > or < signs
  • Write a number equation for comparison
  • Bible: Hebrew words for numbers
  • Count by 100s to 1000
  • Use place value understanding to count by hundreds
  • Understand + use ordinal numbers
  • Apply counting by hundreds to word problems
  • Identify how many hundreds are in each number
  • Bible: God is bigger than time
  • 2 Peter 3:8
  • God is limitless
  • God has no beginning + no end
  • Identify hundreds number that comes before + after
  • Make number comparisons: 100s
  • Review: place value, number words
  • Count by 3 to 60
  • Patterns when skip counting by 3
  • Use visual cues to skip count by 3
  • Solve word problems by skip counting by 3
  • Demonstrate understanding of skip counting by 3
  • Bible: the number 3 throughout the Bible
  • Matthew 12:40
  • Jonah: 3 days in the belly of big fish
  • Jesus died, He was buried, He rose 3 days later
  • Connections throughout the Bible
  • Apply skip counting by 3 to word problems
  • Jacob: renamed Israel by God + 12 sons became known as tribes of Israel
  • Ordinal numbers to 20
  • Endings of ordinal numbers
  • Read, write, + understand ordinal numbers: 1st–20th
  • Use ordinal numbers through 20 to describe position
  • Bible: 1 Corinthians 12:27
  • God has a special plan for your life
  • He gave you talents, strengths, + spiritual gifts
  • 1 Corinthians 12:14–15
  • Your part is important
  • Review: Identify a pattern
  • Count by 25
  • 1 quarter = 25 cents
  • 100 cents = 1 dollar
  • Use visual cues to skip count by 25
  • Identify patterns when counting by 25
  • Demonstrate understanding of counting by 25
  • Apply counting by 25s to comparison and word problems
  • Bible: Matthew 6:25
  • God will take care of our needs
  • Roman numerals to 10
  • Roman numerals show value of a number
  • Understand the rules of Roman numerals
  • Real-life application of Roman numerals
  • Use Roman numerals to represent numbers to 10
  • Read + write Roman numerals to 10
  • Bible: Roman Empire
  • Jesus: the Messiah
  • Isaiah 43:19
  • God can do things we never thought of
  • Expanded + standard form to the thousand's place
  • Read + write 4-digit numbers in expanded form + standard form
  • Demonstrate understanding of place value by using expanded form
  • Bible: Isaiah 54:2–3
  • Seasons of "expansion" or growth
  • Make room for God so that we can grow
  • Show understanding of numbers by comparing them
  • Compare 3- and 4-digit numbers
  • Correctly use the < and > signs
  • Order 4-digit numbers from least to greatest or greatest to least
  • Demonstrate understanding of terms used when comparing
  • Bible: Matthew 20:1–16
  • Parable of the laborers in the vineyard: God gives the same gift of salvation to any who will receive it
  • We can get caught in comparison with others
  • New perspective of His kingdom math: what is truly great and truly lesser
  • John 16:33b
  • Counting by 50s to 500
  • Half of 100 is 50
  • Understands before + after when counting by 50
  • Identify how many sets of 50 make a number 50–500
  • Apply skip counting by 50s to word problems
  • Bible: the number 50 throughout the Bible
  • Year of Jubilee
  • Days between Jesus's resurrection and Pentecost
  • Feast of Weeks
  • Nun in Hebrew means pure, free, full/abundant
  • Count the blessings in your life
  • Place value to 10,000
  • Place tells us what a number is worth
  • Understand places each only fit 0–9
  • Periods: each group of 3 digits + separated by commas
  • Read + write large numbers to ten thousand's place
  • Identify place value of digit in 5 digit numbers
  • Compose numbers when given place value of digits
  • Bible: value of how we spend our time
  • 1 Corinthians 10:23 NIV
  • Demonstrate understanding of place value to 10,000
  • Review: ordinal numbers to 20
  • Review: count by 25s to 200
  • Review: Roman numerals to 10
  • Review: expanded form
  • Review: word problems
  • Count by 4
  • Use visual cues to count by 4
  • Group items into sets of 4
  • Solve word problems by counting by 4
  • Demonstrate understanding of counting by 4
  • Bible: the number 4 throughout
  • Revelation 4:8b
  • See God's creation + order + structure when we study numbers
  • Review: skip count by 2s, 5s, 10s, 25s, 100s
  • Review: determine the number pattern + continue
  • Compare numbers with up to 4-digits
  • Use + understand symbols used when comparing numbers: > , <, =
  • Read + write equations of comparison
  • Review: understand tally marks
  • Order numbers from largest/greatest to smallest/least
  • Order numbers from smallest/least to largest/greatest
  • Bible: comparing ourselves to others
  • Galatians 6:4–5
  • Look at our own jobs God has given us to do
  • Review: demonstrate understanding of number words, Roman numerals, tally marks, + skip counting when comparing amounts
  • Expanded form to 10,000
  • Read + write 5-digit numbers in expanded form + standard form
  • Demonstrate understanding of place value by using expanded form to the 10,000s
  • Understand terms: expanded form + standard form
  • Bible: parables of Jesus about values + treasures
  • Matthew 13:44–46
  • Value of God's kingdom
  • Count by 6
  • Understand what it means to skip count
  • Use visual cues to count by 6
  • Demonstrate understanding of counting by 6
  • Use skip counting by 6 to determine total
  • Solve word problems by counting by 6
  • Bible: 6th day of creation
  • Genesis 1:24–26
  • God is a God of order: patterns + structure in the way he created living things
  • Negative and positive numbers
  • Real life application of negative numbers
  • Understand the meaning of positive and negative numbers
  • Negative numbers always need negative symbol
  • Use a number line to understand negative and positive numbers
  • Bible: Lives are balanced when living surrendered to Him
  • Take steps to bring us back into alignment with God's word
  • John 15:5
  • Use > and < signs to compare negative and positive numbers
  • Round to the nearest 10
  • Real life application of rounding to ten's place
  • Rules for rounding to nearest 10
  • Use visual cues to round to the nearest 10
  • Demonstrate understanding of rounding 2-digit numbers to the nearest 10
  • Bible: Philippians 4:8
  • Roman numerals to 100
  • Real life application of Roman numerals
  • Rules for how to write Roman numerals to 100s
  • Read + write Roman numerals to 100s
  • Apply knowledge of expanded form to Roman numerals to 100s
  • Demonstrate understanding of Roman numerals to 100s
  • Bible: Codes in the Bible
  • John 6:35
  • Write numbers in words, tallies, + roman numerals
  • Word problems
  • Clue words for solving word problems
  • Word problems use both sides of your brain
  • Apply knowledge of rounding + skip counting to word problems
  • How to break word problems into steps
  • Determine strategy used when solving word problems
  • Use addition, subtraction, multiplication, division, rounding, + skip counting to solve word problems
  • Solve 2-step word problems
  • Bible: Parables
  • Mark 4:9b
  • The Holy Spirit: opens our eyes so we can see and our ears so we can hear
  • Count by 7
  • Use visual cues to count by 7
  • Demonstrate understanding of counting by 7
  • Bible: Number seven throughout the Bible
  • Other groups of seven God made
  • Use skip counting by 7 to determine total
  • Divide a total into groups of 7
  • Use skip counting by 7 to solve word problems + complete comparison equations
  • Place value to 100,000
  • Periods in large numbers
  • Read + write numbers to the hundred thousands place
  • Identify the period of digits
  • Understand place value of a digit in 6-digit numbers
  • Bible: God has built in pauses
  • Psalm 62:8
  • Selah
  • Pause + reflect on what God has done
  • Review: use > and < signs to compare 4- and 6-digit numbers
  • Review: round to the nearest 10
  • Review: write negative and positive numbers in order from least to greatest
  • Review: determine the number pattern + continue the pattern
  • Review: compare Roman numerals
  • Review: follow clues to compose a number
  • Expanded form to 100,000
  • Real life application of spelling + writing number words
  • Identify standard form vs. expanded form
  • Word problems: expanded form + standard form
  • Read + write 6-digit numbers in words, standard form, + expanded form
  • Psalm 77:11
  • Remember what the Lord has done: list our blessings
  • Compose + decompose 5- and 6-digit numbers
  • Order numbers from greatest to least + combine them into standard form
  • Understand the relationship between numbers in standard form, expanded form, + word form
  • Count by 8
  • Memorize the number sequence when skip counting
  • Identify every 8th number from 1–100
  • Use picture cues to count by 8
  • Bible: do not step skips in life
  • Colossians 3:23
  • Work hard as an offering to Him
  • Review: skip count by 2, 3, 4, 5, 6, 7, 10, 20
  • Roman Numerals to 1,000
  • Rules for Roman numerals to 1,000
  • Real world application of Roman numerals
  • Read + write Roman numerals to 1,000
  • Apply knowledge of expanded form to Roman numerals
  • Bible: the Roman Empire during Jesus's time
  • Matthew 16:3b
  • Skip count using Roman numerals
  • Demonstrate understanding of Roman numerals to 1,000
  • Comparing numbers: = vs. ≠
  • Demonstrate number comprehension by comparing them
  • Use = or ≠ to compare two numbers or expressions
  • Apply knowledge of addition, subtraction, skip counting, Roman numerals, negative numbers when determining = or ≠
  • Bible: 2 Corinthians 6:14
  • Importance of being equally yoked
  • Count by 9
  • Trick for multiples of 9 to 90
  • Use visual cues to skip count by 9
  • Use skip counting by 7 to determine total
  • Bible: 9 gifts from the Holy Spirit
  • 1 Corinthians 12:8–10
  • Thank God for the gifts He gives
  • Demonstrate understanding of skip counting by 9
  • Use skip counting by 9 to solve word problems + complete comparison equations
  • Apply knowledge of skip counting by 9 to Roman numerals
  • Prime + composite numbers
  • Attributes of numbers: odd or even, negative or positive, + prime or composite
  • Understand terms: prime + composite
  • Demonstrate understanding of prime + composite numbers
  • Describe what makes a number prime or composite
  • Identify prime + composite numbers
  • Bible: Hebrews 4:12
  • God's word is not dead!
  • Read God's word + allow Him to work in you
  • Apply knowledge of prime + composite numbers to Roman numerals, expanded form + number words
  • Count by 11
  • Tricks for multiples of 11
  • Multiplication means skip count a certain number of times
  • Multiply 2-digit numbers by 11
  • Demonstrate understanding of skip counting by 11
  • Bible: Matthew 20
  • The eleventh hour: last minute
  • The parable of the laborers in the vineyard
  • It is never too late to accept Jesus
  • Sins are never too great to be forgiven
  • 2 Peter 3:9
  • It is never too late for God to move
  • We can trust His plans
  • Use skip counting by 11 to determine totals
  • Round to the nearest 100
  • Rules for rounding to the nearest 100
  • Demonstrate understanding of rounding to the nearest 100
  • Apply knowledge of rounding to solving word problems
  • Bible: Matthew 18:12b–13
  • God is unwilling to skip even one of His children
  • El Roi: the God who sees you
  • Count by 12
  • Strategy for counting by 12
  • Connect skip counting by 12 to multiplication
  • Apply counting by 12 to word problems
  • Demonstrate understanding of counting by 12
  • Identify patterns in number sequences
  • Write x12 multiplication equations
  • Bible: God built in numbers, patterns, + structure in creation
  • Twelve throughout the Bible
  • Hebrew: 12 means perfect government
  • Think about things that come in sets of 12
  • Place value to 100 million
  • Understand the pattern of periods to the millions period
  • Identify the place value of digits in a 9-digit number
  • Write 9-digit numbers in expanded form
  • Bible: the effects of money in life
  • Matthew 22:22–23
  • Be a good steward of money
  • Read + write large numbers to hundred millions place in number + word form
  • Compose 9-digit numbers when given place value of digits
  • Identify patterns in number sequences + complete the pattern
  • Review: rounding, comparing numbers, roman numerals, skip counting, prime + composite numbers
  • Math symbol: π
  • Meaning of pi
  • World record holder for reciting the most digits of pi: Suresh Kumar Sharma
  • Estimate pi to be 3.14 when solving problems
  • Divide the circumference by the diameter: answer is always pi
  • Demonstrate understanding of π: symbol, numerical value, meaning
  • March 14: international pi day + Albert Einstein's birthday
  • Bible: circular/cycle pattern in creation
  • Revelation 22:13
  • God and His love for you are constant + unchanging
  • Round numbers to 10,000
  • Steps + rules for rounding to the nearest 10,000
  • Demonstrate understanding of rounding numbers to the 10,000 place
  • Bible: we have an effect on other believers
  • 1 Corinthians 12:26
  • Bride of Christ: metaphor for the Church as all the believers around the world
  • Integers + inverse operations
  • Understand the meanings of integer + inverse operations
  • Read + write equations using inverse operations
  • Apply the commutative property to equations
  • Bible: Jesus cancels our sin
  • Positive power of the blood of the Lamb
  • Colossians 2:13–14
  • Demonstrate understanding of integers + inverse operations
  • Factor trees
  • Identify prime + composite numbers
  • Strategies for breaking numbers into factor trees
  • Create factor trees
  • Understand prime factorization using factor trees
  • Bible: motivations of our hearts
  • Hebrews 4:12
  • Spend time in His word + seeking His voice
  • Multiply factors to find product
  • Greatest common factor (GCF)
  • Meaning of common factors
  • Identify common factors + greatest common factor of 2 numbers
  • Bible: Acts 4:32
  • The early church
  • Followers of Jesus have a lot in common
  • Use prime factorization to find common factors, + greatest common factor
  • Least common multiple (LCM)
  • Use skip counting to find the least common multiple of 2 numbers
  • Write least common multiple questions
  • Bible: Holy Spirit is alive + active in every believer
  • 1 Corinthians 3:16
  • Describe meaning of LCM
  • Demonstrate understanding of LCM
  • Base-10 system
  • Understand clear patterns + structures to help numbers make sense
  • Meaning of base-10 system
  • Read, write + use base-10 system to determine place value
  • Read + write numbers using expanded notation
  • Strategy for multiplying multiples of 10
  • Bible: God does not distribute love according to place or position
  • Galatians 3:28
  • Use base-10 system to compare + order numbers
  • Squared numbers
  • Real-life example of square numbers
  • Read, write, + use squared numbers
  • Use multiplication expression to represent squared numbers
  • Find values of squared numbers
  • Define squared
  • Bible: Ecclesiastes 4:9–10
  • God designed us to be in relationship with others
  • Demonstrate understanding of squared numbers
  • Inverse operations: multiplication and division
  • Meaning of inverse operations
  • Applications of inverse operations
  • Identify inverse operations
  • Use fact families to write multiplication and division equations
  • Read + write inverse equations + fact family triangles
  • Bible: triangle can represent Biblical principles
  • John 16:12–15
  • The Holy Spirit helps us when we pray to God
  • Exponential place value
  • Meaning of exponent and base
  • Symbol for exponent: superscript number
  • Use base-10 system to understand exponential place value
  • Read + write different ways to represent place value: exponential, number word, number symbols, multiplication
  • Write equations to show meaning of exponents
  • Demonstrate understanding of base, exponent, exponential place value, + base-10 system
  • Bible: Jesus was raised from the dead by the power of God
  • Romans 6:4
  • 2 Corinthians 5:17
  • Solve equations with exponents
  • Review: expanded notation, least common multiple, greatest common factor, pi
  • Cubes
  • Real-life application of cubing numbers
  • Identify base + superscript in cubed numbers
  • Read + write equations to show meaning of cubed numbers
  • Solve equations to find cubed numbers
  • Demonstrate understanding of cubed + cubed numbers
  • Bible: King Solomon
  • Measurements of temple were precise: a perfect cube
  • 1 Kings 6:20
  • Specific measurements throughout the Bible
  • God built math + order into creation
  • Review: inverse operations
  • Negative exponents
  • Understand meaning of positive + negative exponents
  • Read + write reciprocal form of negative exponents
  • Read + write equations to solve negative exponents
  • Explain the relationship between terms: reciprocal + negative exponent
  • Bible: Adam + Eve in the Garden of Eden
  • Jesus' death + resurrection changed everything: the curse was reversed
  • John 3:16
  • Square roots of perfect squares
  • Symbol for square root
  • Meaning of terms: radical, radicand, + perfect squares
  • Write radical equations
  • Write radical form of perfect squares
  • Write multiplication equations to show inverse operation of radical expressions
  • Use a calculator to find square roots
  • Bible: Hebrews 12:15
  • Weed of bitterness
  • Ephesians 4:26
  • Rational and irrational numbers
  • Application of rational and irrational numbers in math
  • Understand meaning of terms: rational and irrational
  • Identify rational + irrational numbers
  • Bible: teaches us right + wrong
  • Old Testament: Ten Commandments
  • Isaiah 5:20
  • Cube roots
  • Understand meaning of cube root as the inverse operation of a number cubed
  • Symbols used for cube roots: radical and index
  • Real life applications of cubed roots
  • Write radical equivalent for cubed numbers
  • Rules for writing radical form of negative cubed numbers
  • Read, write + use multiplication problems to express cube root
  • Bible: 3 things the Bible mentions being rooted in
  • Colossians 2:6–7
  • Ephesians 3:17
  • Jeremiah 17:7–8
  • Comparing integers
  • Understand meaning of terms: integers, opposite integers, absolute value
  • Symbols for negative numbers + absolute value
  • Read, write, + use signs of numbers
  • Identify opposite signs + opposite integers
  • Determine absolute values of integers
  • Write equations to compare numbers with and without absolute value
  • Define absolute value
  • Bible: Matthew 20:16
  • God is concerned with motivation of our hearts
  • Matthew 7:21
  • Follow His will for us
  • Square + cube roots with factoring
  • Importance of learning to solve perfect roots
  • Use factoring to solve perfect square + cube roots
  • Symbol for approximation
  • Estimate square roots when a number is not a perfect square
  • Estimate cube roots when a number is not a perfect cube
  • Describe the relationship between prime factors + perfect roots
  • Bible: personal intimacy with the Father
  • The importance of prayer, time with God, and obedience
  • Matthew 25:1–13
  • Laws of exponents
  • Use of systems, rules, + steps in math
  • Match laws of exponents to the equation that illustrates it
  • Simplify exponents by using the laws of exponents
  • Use the laws of exponents to solve problems
  • Bible: Romans 3:20
  • Rules help us define right from wrong
  • Jesus is the only way, the truth, and the life
  • Scientific notation
  • Simplify very long numbers using scientific notation
  • Understand steps for making a number smaller using scientific notation
  • Read + write numbers in scientific notation
  • Compare numbers written in scientific notation
  • Convert numbers from scientific notation to standard form
  • Demonstrate understanding of scientific notation
  • Describe usefulness of scientific notation
  • Bible: many stories + truths shared multiple times throughout Bible
  • James repeated teachings from the Sermon on the Mount
  • Matthew, Mark, Luke, + John: recounted many of the same stories
  • Joshua 1
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