Modular Math: Addition – Gather 'Round Homeschool USA
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Modular Math
Number Sense

Addition

Welcome to Addition! This unique program stands out because it is both spiral and mastery and offers a solution that can be completely tailored to you. Unlike most math curricula that are all together in a yearly workbook with additional materials required, tests, and teacher's guides . . . Modular Math is an all-in-one program that is simple and completely open-and-go. Each unit is separated by topics that are addressed in a step-by-step approach so that you can place your student wherever they may be within that particular concept. There will be 13 units with 7 levels each (ranging from Foundations to Step 6) that will be released every 8 weeks for the next few years. These units go through a rigorous testing process with a beta testing community to ensure that they are as clear and effective as possible. We want to think of everything so you don't have to! 

Release Date: November 3, 2025

Take the Placement Test

Take the tests to see what level to try!

Modular Math Addition

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
 Addition 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

Addition Certificate

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

Download Certificate
Addition Scope and Sequence
  • Operation words for addition: plus, add, all together, in total, sum
  • Understand that addition means combining 2 groups
  • Read and write symbols used in addition: + (plus) and = (equal)
  • Use pictures to add/combine two sets
  • Identify the correct use of the + sign and the = sign
  • Draw pictures to model addition problems
  • Bible: Importance of encourging one another
  • Hebrews 10:25
  • Use + and = to read and write addition equations
  • Draw pictures to solve addition problems
  • Review: number lines, comparing numbers, skip count by 2, ordinal numbers, + dozen means 12
  • One more
  • Understand the meaning of adding one more
  • One more will always be the next number
  • Add one more using a number line: 1-10
  • Bible: small decisions have big impacts
  • Ephesians 5:15–16
  • Use tally marks to show one more
  • Draw pictures to represent one more
  • Add two more to 10
  • Use a number line to add 2
  • Concept of commutative property of addition when adding 2 more
  • Bible: Luke 10:1
  • Jesus sent His followers out in groups of 2
  • Match number sentences that mean the same thing
  • Draw pictures to represent adding 2
  • Use picture cues to add 2
  • Add 2 without visual cues
  • Identify incorrect number sentences when adding 2 more
  • Number pairs to make 4
  • Use picture cues to add to 4
  • Different strategies to add numbers: pictures, number line, counting with concrete objects
  • Group pictures in sets that make 4
  • Use a numberline to add to 4
  • Read + write addition sentences to make 4
  • Algebraic thinking: Find the missing addend when adding to 4
  • Draw pictures to represent addition problems to 4
  • Bible: Day 4 of creation
  • Genesis 1:14
  • God made the very thing that gives us 4 seasons and 4 directions on day 4
  • Concept of commutative property of addition when adding to 4
  • Number pairs to make 5
  • Use picture cues to add to 5
  • Concept of commutative property of addition when adding to 5
  • Group pictures in sets that make 5
  • Read + write addition sentences to make 5
  • Algebraic thinking: Find the missing addend when adding to 5
  • Draw pictures to represent addition problems to 5
  • Use concrete objects to add to 5
  • Bible: Paul taught the early church that the church was like a body
  • 1 Corinthians 12:15
  • You are important
  • Use number lines to add to 5
  • Idenitfy incorrect number sentences when making 5
  • Number pairs to make 6
  • Pattern: 4 ways to make 4, 5 ways to make 5, 6 ways to make 6
  • Concept of commutative property of addition when adding to 6
  • Use picture cues to add to 6
  • Group concrete objects in sets that make 6
  • Use a number line to add to 6
  • Read + write addition sentences to make 6
  • Algebraic thinking: Find the missing addend when adding to 6
  • Draw pictures to represent addition problems to 5
  • Bible: groups of 6 in creation
  • Romans 1:20
  • Learn more about God by studying what He has made
  • Identify incorrect equations when adding to 6
  • Apply knowledge of adding to 6 to word problems
  • Skip count by 2 to make 6
  • Number pairs to make 7
  • Concept of commutative property of addition when adding to 7
  • Use picture cues to add to 7
  • Read + write addition sentences to make 7
  • Use concrete objects to show number pairs to equal 7
  • Algebraic thinking: Find the missing addend when adding to 7
  • Draw pictures to represent addition problems to 7
  • Bible: Jesus fed 5,000 people with 7 pieces of food
  • John 6:9
  • Identify incorrect equations when adding to 7
  • Match the number pairs that equal 7
  • Identify correct equations when adding to 4, 5, 6, 7
  • Number pairs to make 8
  • Concept of commutative property of addition when adding to 8
  • Read + write addition equations to make 8
  • Meaning of equation
  • Understand + use math term: equation
  • Group pictures to show number pairs to make 8
  • Algebraic thinking: Find the missing addend when adding to 8
  • Draw pictures to represent addition problems to 8
  • Bible: David was the youngest of 8 brothers
  • David: chosen by God to be King
  • 1 Samuel 16:7
  • Use a number line to add to 8
  • Identify incorrect equation when adding to 8
  • Use tally marks to add to 8
  • Number pairs to make 9
  • Concept of commutative property of addition when adding to 9
  • Read + write addition equations to make 9
  • Use visual cues to add to 9
  • Group pictures to show number pairs to make 9
  • Use a number line to write addition equations to 9
  • Algebraic thinking: find the missing addend when adding to 9
  • Bible: Fruit of the Spirit
  • Galations 5:22–23
  • Match the number pairs that add to 9
  • Identify correct equations when adding to 9
  • Draw pictures to represent addition problems to 9
  • Number pairs to make 10
  • Concept of commutative property of addition when adding to 10
  • Read + write addition equations to make 10
  • Use concrete objects to show number pairs to equal 10
  • Use a number line to write addition equations to 10
  • Algebraic thinking: Find the missing addend when adding to 10
  • Draw pictures to represent addition problems to 10
  • Bible: Ten commandments
  • Identify incorrect equation when adding to 10
  • Introduction to addition
  • Read, write and understand symbols used in addition: + (plus) and = (equal)
  • Understand meaning of terms: addends and sum
  • Label each part of addition equations
  • Read and write addition equations with sums up to 10
  • Use visual cues to write + solve addition equations with sums up to 10
  • Bible: Proverbs 11:1
  • God sees what no one else does
  • Find and correct errors in addition equations with sums up to 10
  • Draw pictures to model addition equations with sums up to 10
  • Solve addition problems with sums up to 10
  • Addition rules
  • Concept of identity property of addition
  • Concept of commutative property of addition
  • Write equations to demonstrate commutative property
  • Fill in the missing addend to demonstrate the identity property
  • Bible: parable of the Laborers in the Vineyard
  • Matthew 20:11–12
  • Salvation is a free gift available to everyone
  • Match equations that mean the same thing
  • Review: fill in the 1–10 number line
  • Addition with doubling: 1–9
  • What it means to double a number
  • Real life application of doubling numbers
  • Meaning of number sentence and equation
  • Understand and use math term: equation
  • Read and write addition equations that double the addend
  • Identify incorrect equations when doubling the addend
  • Use number lines to solve equations that double the addend
  • Bible: Psalm 12:2
  • God knows every part of our hearts
  • Use picture cues to write + solve addition problems that double the addend
  • Read and double number words
  • Divide quantities into 2 equal groups
  • Review: odd and even
  • Use > or < to compare sums 1–10
  • Vertical addition
  • Meaning of vertical
  • Real life application of meaning of vertical
  • How to properly write vertical math problems
  • Read and write vertical addition equations
  • Use number lines to solve vertical addition equations
  • Use picture cues to write + solve vertical addition equations
  • Bible: importance of lining our lives up with God's word
  • Psalm 119:105
  • God's word is full of advice, living, active, and powerful
  • Solve horizontal and vertical addition equations without visual cues
  • Draw pictures to represent single digit addition problems
  • Identify incorrect equations with sums up to 10
  • Write an addition equation to represent a set divided into groups
  • Adding multiple single digits
  • Read and write addition equations with 3 single digit addends
  • Strategy for solving addition problems with 3 single digit addends
  • Follow steps to add 3 single digit numbers
  • Label the parts of an addition problem with 3 addends
  • Bible: There is an order of what is important in life
  • Matthew 6:33
  • God wants us to keep our eyes fixed on Him
  • Use picture cues to add 3 single digit numbers
  • Draw pictures to represent 3 addend addition equations
  • Algebraic thinking: identify addends with a sum of 9
  • Adding near doubles
  • Strategies to help with mental math
  • Apply knowledge of doubling numbers to mental math addition
  • Read, write, and solve near double equations
  • Identify nearest doubles equation for a given problem
  • Determine if sum should be one more or one less than the sum of the doubled addend
  • Bible: Romans 12:2
  • Our minds need renewing so that we can hear what God is saying
  • Use visual cues to solve near doubles equations
  • Double-digit addition
  • How to write 2-digit vertical addition equations
  • Steps for adding 2-digit addition problems
  • Use base ten blocks to solve 2-digit addition problems
  • Solve 2-digit addition problems without visual cues
  • Review: identify the correct place value for each digit to the hundreds place
  • Reason for adding from right to left in vertical math problems
  • Bible: Colossians 1:10
  • Each good and right action helps you to grow your character
  • Use picture cues to solve 2-digit addition problems
  • Review: compose 3-digit numbers based on place value clues
  • Odd and even addition
  • Use odd and even addition rules to determine if a sum will be odd or even
  • Demonstrate that 2 even addends will always have an even sum
  • Demonstrate that 2 odd addends will always have an even sum
  • Demonstrate that an even addend and odd addend will always have an odd sum
  • Bible: the people we are close to affect our lives
  • 2 Corinthians 6:14
  • Addition vs. subtraction
  • Relationship between addition and subtraction: opposite operations
  • Meaning of addition and subtraction
  • Add parts together to make a whole: addition
  • Take away part of a whole: subtraction
  • Correctly use the + or - sign in a given equation
  • Algebraic thinking: identify the missing addend or part of the whole
  • Apply meaning of opposite to math operations
  • Bible: Job was a righteous man blessed by God
  • God allowed Job to be tested
  • Job 1:21b
  • Write equations using opposite operations: + and -
  • Use opposite operations to solve addition and subtraction problems
  • Split quantities into groups and write equations to represent picture
  • Addition word problems
  • Review operation words for addition: all together, sum, total, more, plus, in all
  • Identify clue words when solving addition word problems
  • Follow steps to solve addition word problems
  • Draw pictures to represent equations in addition word problems
  • Bible: Jesus used clue words sometimes
  • The kingdom Jesus came to proclaim
  • He came to live within us, help us, be with us
  • Luke 7:20b–21
  • Solve addition word problems with 2 to 3 addends
  • Addition: mathematical operation
  • What is a mathematical operation?
  • Read, write and understand symbols used in addition: + (plus) and = (equal)
  • Review and understand meaning of terms: addends and sum
  • Label each part of addition equations
  • Concept of the commutative property of addition
  • Read, write, and solve addition equations up to 20
  • Concept of identity property of addition
  • Understand meaning of equation
  • Bible: Matthew 6:33
  • Importance of looking at entire context when reading God's word
  • Algebraic thinking: find the missing addends to show concept of identity property
  • Draw pictures to represent addition equations
  • Different ways to write addition problems: number sentence or equation, vertical addition, word problems
  • Read, write, and solve vertical addition problems
  • Clue words when solving addition word problems
  • Solve addition word problems with sums up to 20
  • Apply understanding of the 3 methods to represent addition by creating problems
  • Use picture cues to write
  • Bible: The Bible repeats itself with similar truths explained in different ways
  • Psalm 141:3
  • James 3:3–5
  • Our words are powerful
  • Control our words
  • Concept of commutative property of addition with sums up to 20
  • Making 11
  • Number pairs to make 11
  • Concept of commutative property of addition when adding to 11
  • Read, write, and solve addition equations with sum of 11
  • Use a number line to solve addition problems that equal 11
  • Apply knowledge of addition to 11 to word problems
  • Bible: Dead Sea Scrolls
  • Evidence that the Bible is true
  • Algebraic thinking: find the missing addend when adding to 11
  • Divide a group into 2 sets that add up to 11
  • Making 12
  • Number pairs that make 12
  • Read, write, and solve addition equations with sum of 12
  • Use a number line to add up to 12
  • Apply knowledge of addition to 12 to word problems
  • Write word problems to represent addition to 12
  • Bible: 12 throughout the Bible
  • John 6:12–13
  • Algebraic thinking: find the missing addend when adding to 12
  • Use picture cues to add to 12
  • Making 13
  • Number pairs that make 13
  • God formed patterns and structure
  • Read, write + solve addition equations with sum of 13
  • Apply knowledge of addition to 13 to word problems
  • Algebraic thinking: find the missing addend when adding to 13
  • Understand addition as a number broken into pieces/parts
  • Bible: Jeremiah 17:14
  • God is the master mathematician and master healer
  • He makes all things new
  • Revelation 21:5a
  • Identify addition equations that do not equal 13
  • Review: dozen equals 12
  • Baker's dozen equals 13
  • Making 14
  • Number pairs that make 14
  • Meaning of permutation
  • Apply knowledge of addition to 14 to word problems
  • Algebraic thinking: find the missing addend when adding to 14
  • Read, write, + solve addition equations with sum of 14
  • Draw pictures to represent addition to 14
  • Write a word problem to represent addition to 14
  • Bible: significance of number 14 in Bible
  • God is a master planner
  • Ecclesiastes 3:1
  • Identify addition equations that do not equal 14
  • Critical thinking: number puzzles for addition to 14
  • Add multiple 3-digit numbers
  • Steps for vertical addition of multiple 3-digit numbers
  • Apply knowledge of adding multiple 3-digit addends to word problems
  • Read, write, and solve vertical addition problems with three 3-digit addends
  • Use place value to compose numbers
  • Bible: line up our thoughts to point up to Jesus
  • Philippians 4:8
  • Fix our eyes on Him
  • Identify incorrect equations when adding 3-digit numbers
  • Algebraic thinking: find the missing addend when adding 3 numbers
  • 2-digit addition with regrouping
  • Understand concept of regrouping or carrying in addition
  • Steps to solve 2-digit addition problems with regrouping
  • Use regrouping to solve multiple 2-digit addend problems
  • Apply knowledge of regrouping in 2-digit addition to word problems
  • Bible: each of us has a place and purpose in the family of God
  • 1 Corinthians 12:17–20
  • God created you unique
  • Identify errors in 3-digit addition problems with regrouping
  • Concept of commutative property of addition with 3-digit addends
  • Mental math strategy: breaking apart
  • What is mental math?
  • Reasoning for mental math
  • Steps for the breaking apart strategy
  • Decompose and regroup 3 digit numbers for mental math addition
  • Understand relationship between vertical addition and expanded form addition
  • Use expanded form to add 3 digit numbers
  • Bible: Jesus broke up parables, later explaining them to His disciples
  • Mark 4:33–34
  • Apply knowledge of breaking apart strategy to word problems
  • Use > and < to compare sums of 3-digit numbers
  • Mental math strategy: making ten
  • Steps for regrouping by making 10 within addition equations
  • Decompose and regroup numbers to make 10
  • Use the making 10 strategy to solve addition problems
  • Regroup numbers in expressions and equations to make one addend 10
  • Apply knowledge of making 10 strategy to word problems
  • Bible: the parable of the talents
  • Matthew 25:28
  • What we do with our lives matter
  • God wants us to point others to Jesus
  • Algebraic thinking review: find the missing addend to when adding to 10
  • Review of step 2 addition
  • Properties of addition
  • Real life application of addition
  • Understand meaning of terms: addends and sum
  • Label each part of addition equations
  • Understand, define, and use the commutative property of addition
  • Understand, define, and use the associative property of addition
  • Understand, define, and use the identity property of addition
  • Apply knowledge of properties of addition to solving addition problems
  • Bible: kingdom principles
  • God's kingdom: the last shall be first
  • Matthew 20:16
  • Mark 8:35
  • Luke 6:38
  • Matthew 20:25–28
  • Write addition problems to represent each property of addition
  • Addition facts review
  • Importance of mastering addition facts
  • Review number pairs to make 10
  • Break problems into smaller steps by looking at each place value
  • Use speed drills to increase addition speed and accuracy
  • Review regrouping in multi-digit addition
  • Speed drills: single and multi-digit addition
  • Bible: the importance of working efficiently
  • Ephesians 5:15–16
  • Review of addends that make 12
  • Review of addends that make 14
  • Review of addends that make 16
  • Critical thinking: number puzzles for addition
  • Review of doubles addition
  • 3-digit addition with regrouping
  • Patterns within math
  • Importance of place value in addition
  • Review: 2-digit vertical addition with regrouping
  • Steps for solving 3-digit vertical addition problems with regrouping
  • Demonstrate understanding of 3-digit addition with regrouping
  • Bible: building a strong foundation
  • Matthew 7:24–25
  • God's word should renew our minds, change our thinking, and impact what we do
  • Obeying God is a foundation that cannot be shaken
  • Algebraic thinking: find the missing digit in 3-digit addition problems
  • Real life application of 3-digit addition
  • Apply knowledge of 3-digit addition to word problems
  • 4-digit addition with regrouping
  • Steps for regrouping in addition are simply repeated no matter how large the number
  • Concept of using hundreds to express thousands
  • Demonstrate understanding of 4-digit addition with regrouping
  • Apply knowledge of 4-digit addition to word problems
  • Bible: precepts in the Bible
  • God's word is full of advice
  • Actions are evidence of your heart
  • Proverbs 4:23
  • Algebraic thinking: find the missing digit in 4-digit addition problems
  • Estimation
  • Real life application of estimation
  • Steps to estimate and add 3- and 4-digit numbers
  • Round each addend to the nearest hundred or thousand
  • Use rounded numbers to estimate a sum
  • Understand and use the rules for estimated sums
  • Bible: Luke 14:27–28
  • Following Jesus means we spend our lives living for Him
  • Review: round numbers to the nearest ten, hundred, and thousand
  • Apply knowledge of estimating sums to word problems
  • Adding money
  • Rules for adding money
  • Use and understand symbols used in money: dollar sign and decimal point
  • Apply knowledge of adding money to word problems
  • Correctly line up digits and decimals when adding money
  • Demonstrate understanding of adding money
  • Bible: money and things cannot truly satisfy us
  • 1 Timothy 6:10
  • Identify and explain errors in adding money
  • Estimating money
  • Steps for rounding addends and estimating sums for money
  • Round money amounts correctly to the nearest ten cents, dollars, and ten dollars
  • Estimate sums of money
  • Apply knowledge of estimating money to word problems
  • Real life applications of estimating sums of money
  • Bible: the importance of treating others equally
  • Luke 6:31
  • Adding negative and positive integers
  • Understand meaning of terms: integers and inverse
  • Understand, define and use the inverse property of addition
  • How to write negative numbers
  • Use a number line to add negative integers to positive integers
  • Identify integers
  • Rules for adding positive and negative integers
  • Bible: blood of Jesus cancels our sin
  • 2 Corinthians 5:21
  • Salvation is a free gift to those who believe and put faith in Jesus
  • Label a number line with negative and positive integers
  • Apply knowledge of adding positive and negative integers to word problems
  • Real life application of positive and negative integers
  • Compare positive and negative integers
  • Fact families
  • Understand the relationship between operations addition and subtraction
  • Think of addition and subtraction as parts and a whole
  • Apply knowledge of fact families to writing and solving addition and subtraction equations
  • Apply knowledge of fact families to solving word problems
  • Bible: Matthew 23:12
  • Character trait of humility
  • Missing addends
  • Foundation for algebra: solving for the unknown
  • Strategies for solving for the unknown
  • Use a number line to find the missing addend
  • Use the inverse operation to find the missing addend
  • Apply knowledge of fact families to solving for the unknown
  • Apply knowledge of solving for the unknown to word problems
  • Bible: Luke 15:4–7
  • The parable of the lost sheep
  • 2 Peter 3:9
  • Use picture cues to solve for the missing addend
  • Draw pictures to represent missing addends
  • Properties of addition: commutative, associative, identity, and inverse
  • Real life applications of addition
  • Understand meaning of terms and properties of addition
  • Label each part of addition equations: addends and sums
  • Identify, define, and use the commutative property of addition
  • Identify, define, and use the associative property of addition
  • Identify, define, and use the identity property of addition
  • Identify, define, and use the inverse property of addition
  • How to write negative numbers in addition
  • Apply knowledge of properties of addition to solving addition problems
  • Bible: Ten Commandments
  • Ten Commandments help us to know what is right and wrong
  • Understand inverse integers
  • Adding decimals
  • The importance of decimals in our world
  • Decimals always stay in the same place
  • How to write addition problems with dollar signs and/or decimals
  • Understand that dollar signs can be at just first addend and sum or at all addends and sum
  • Correct ways to use 0 to line up addition problems with decimals
  • Read, write, and solve addition problems with decimals and/or dollar signs
  • Apply knowledge of adding money to word problems
  • Bible: the importance of keeping God first in our lives
  • Matthew 6:33
  • Identify incorrectly written addition problems with decimals
  • Add zeros to line up addition problems with decimals correctly
  • 6-digit addition with regrouping
  • Place value rule: each place can only fit 9 digits
  • Why regrouping is necessary
  • Steps for regrouping in addition by carrying
  • Correctly write large number addition problems
  • Use place value to compose numbers
  • Demonstrate understanding of adding with regrouping up to the hundred thousands
  • Bible: every believer has a place in the body of Christ
  • Romans 11:29
  • God created you with a purpose
  • Apply knowledge of 6-digit addition to word problems
  • Identify errors in 6-digit addition
  • Use subtraction to check addition
  • Understand the relationship between addition and subtraction
  • Steps for using subtraction to check addition
  • Subtract either addend from the sum to check work
  • Use subtraction to identify errors in addition problems
  • Apply knowledge of subtraction to check addition to word problems
  • Use subtraction to solve for the unknown
  • Demonstrate understanding of using subtraction to check addition
  • Bible: God gives us the opportunity to check our hearts and change our paths
  • Psalm 139:23–24
  • God's mercies are new every morning
  • Use mental math to determine the missing addend
  • Use addition to check subtraction
  • Steps for using addition to check subtraction
  • Use inverse operations to write addition problems
  • Math terms used in subtraction: minuend, subtrahend, difference
  • Use addition to identify errors in subtraction problems
  • Correct errors in subtraction problems
  • Apply knowledge of addition to check subtraction to word problems
  • Math is part of our daily lives
  • Bible: God cares about you and the details of your life
  • His word is full of promises
  • Proverbs 16:3
  • Adding with Roman numerals
  • Real life application of Roman numerals
  • Review: Roman numerals symbols and meanings
  • Review of rules when reading and writing Roman numerals
  • Write addition problems as Roman numeral equations
  • Convert Roman numeral addition problems to numbers and solve
  • Apply knowledge of adding Roman numerals to word problems
  • Bible: Growing in our relationship with God
  • Hebrews 5:12
  • Read, write, and solve addition problems with Roman numerals
  • Adding mixed integers
  • Understand meaning of terms: mixed integers
  • Steps for adding mixed integers
  • Rules for adding mixed integers
  • How to write equations with mixed integers
  • Use a number line to add 2 or 3 mixed integers
  • Apply the commutative property of addition to adding mixed integers
  • Solve mixed integer addition problems with 3 or more addends without visual cues
  • Bible: Romans 8:28
    We can trust God to use all things for His glory
    God is the great redeemer
  • Identify whether answers will be positive or negative
  • Read, write, and solve mixed integer addition problems
  • Apply knowledge of mixed integer addition to word problems
  • Adding negative integers
  • Rules for adding two negative integers
  • Combine knowledge of adding mixed integers and 2 negative integers to solve 3 addend problems
  • Apply the commutative property of addition to adding two or more negative integers
  • Use a number line to add 2 negative integers and 3 addends
  • Read, write, and solve addition problems with 2 negative integers and 3 addends
  • Bible: Kindness and love can shift hearts and minds
    Proverbs 15:1a
  • Identify incorrect equations when adding 2 negative integers
  • Demonstrate understanding that inverse integers cancel each other out
  • Addition mental math
  • Understand meaning of term: mental math
  • Application of mental math
  • Strategies for mental math addition
  • Estimate sums
  • Making ten strategy
  • Counting up
  • Use near doubles
  • Identify best strategy for given addition problem
  • Create and solve math problems to use mental math strategy
  • Decompose and regroup numbers to add mentally
  • Bible: we can't hide from God
  • Apostle Paul's weakness
  • 2 Corinthians 12:9
  • God can use your weaknesses
  • Adding time
  • Time follows a base-60 number system
  • Steps for adding time
  • Regroup time from minutes to hours
  • Apply knowledge of adding time to word problems
  • Read, write, and solve adding time equations
  • Bible: God is not bound to time
  • 2 Peter 3:8
  • Identify times that are 15 minutes later
  • Identify times that are 45 minutes later
  • Identify incorrect adding time equations
  • Properties of addition: commutative, associative, identity, and inverse
  • Understand meaning of terms used in addition
  • Identify, define, and use the commutative property of addition
  • Identify, define, and use the associative property of addition
  • Identify, define, and use the identity property of addition
  • Identify, define, and use the inverse property of addition
  • How to write negative numbers in addition
  • Solve large number addition problems with regrouping
  • Explain why regrouping is necessary
  • Bible: Fix your thoughts on God's word
  • Philippians 4:8
  • Use the properties of addition to solve for the unknown
  • Label the parts of addition equations: addend and sum
  • Identify the inverse of integers
  • Apply knowledge of properties of addition to solving addition problems
  • Review: estimate sums, add positive and negative integers
  • Adding time: hours to days
  • Identify number of minutes in an hour, hours in a day
  • Two approaches to adding time
  • Importance of adding quantities with the same value
  • Steps for adding time involving days and hours
  • Regroup time from hours to days and minutes to hours
  • Apply knowledge of adding mixed time to word problems
  • Read, write, and solve adding mixed time equations
  • Bible: Matthew 6:27
  • Adding fractions with like denominators
  • Read, write, and understand meaning of fractions
  • Meaning of terms: denominator and numerator
  • Identify fractions with like denominators
  • Add and reduce fractions
  • Convert improper fractions to mixed numbers
  • Understand and apply the rules for adding fractions
  • Real life application of adding fractions
  • Apply knowledge of adding fractions with like denominators to word problems
  • Bible: Genesis 1:24–25
  • God's structure in creating the world
  • Use visual cues to add fractions
  • Represent fractions by shading parts of a whole
  • Algebraic thinking: find the missing fraction when adding fractions with like denominators
  • Adding different decimal values
  • Meaning of term: equivalent decimal
  • Apply understanding of equivalent decimal to writing addition equations
  • How to write vertical addition equations with decimals
  • Adjust numbers with an equivalent decimal
  • Read, write, and solve addition problems with different value decimals
  • Apply knowledge of adding decimals to word problems
  • Bible: Romans 12:2
  • Aligning our thoughts with God's word
  • Algebraic thinking: find the missing addend when adding decimals
  • Creating change
  • Real life applications of creating change
  • Use visual cues to count up using money
  • Put money in order smallest to largest in order to count up
  • Apply knowledge of counting up to word problems
  • Bible: fair business practices in the Bible
  • Leviticus 19:35–36
  • Character quality of integrity
  • Use addition to determine correct change
  • Adding fractions with unlike denominators
  • Use least common multiple to convert fractions
  • Steps for adding fractions with unlike denominators
  • Create and understand equivalent fractions
  • Read, write and solve addition problems with fractions
  • Apply knowledge of adding fractions to word problems
  • Bible: James 2:1–4
  • Determine number that fractions are multiplied by to form equivalent fraction
  • Algebraic addition
  • Concept of variables in algebra
  • Steps for solving algebraic addition problems
  • Concept of isolating the variable
  • Read, write, solve, and check one step algebraic addition equations
  • Identify incorrect algebraic addition equations
  • Apply knowledge of algebraic addition to word problems
  • Bible: God wants to help us make good decisions
  • James 1:5
  • Adding mixed numbers and improper fractions
  • Convert mixed numbers to improper fractions
  • Read, write, and solve addition problems with mixed numbers
  • Convert improper fractions to mixed numbers
  • Identify errors in addition problems with mixed numbers
  • Bible: Galatians 6:9
  • God created us to work
  • Identify equivalent fractions
  • Apply knowledge of adding mixed numbers to word problems
  • Adding percentages
  • Percentages: a way of representing a part of a whole
  • Use the properties of addition, algebraic addition, and adding fractions to add percentages
  • Solve for the unknown in adding percentages
  • Apply knowledge of adding percentages to word problems
  • Real world applications of adding percentages
  • Add percentages of whole numbers to whole numbers
  • Convert percentages to decimals
  • Find the values of percentage of whole numbers
  • Bible: Genesis 41
  • Being wise stewards
  • Adding time on a clock with colons
  • Read, write, and solve time addition problems using colons
  • Convert 24 hour time to 12 hour clock time
  • Regroup seconds to minutes and minutes to hours
  • Apply adding time on a clock to word problems
  • Demonstrate understanding of elapsed time
  • Bible: Ephesians 5:15–16
  • Being intentional with time
  • Review properties of addition: commutative, identity, associative, inverse
  • Identify, define, and use the commutative property of addition
  • Identify, define, and use the identity property of addition
  • Identify, define, and use the associative property of addition
  • Identify, define, and use the inverse property of addition
  • What is the distributive property?
  • How to solve problems two ways using the distributive property
  • Identify, define, and use the distributive property of addition
  • Bible: James 2:1–4
  • Apply knowledge of properties of addition to solving addition problems
  • Review: add mixed numbers, time, money, percentages, and negative and positive integers
  • Adding like exponents
  • Review meaning of terms: coefficient, base, and exponent
  • Rule for adding exponent: only add coefficients that have the same base and same exponent
  • Use rule to determine pairs where coeffecients can be added
  • Label each part of an exponent
  • Simplify expressions with exponents by combining like terms
  • Bible: Genesis 1:25
  • God programmed order and structure into creation
  • Use the parts of an exponent to compose an expression
  • Apply knowledge of adding like exponents to word problems
  • Adding exponents with different bases
  • Rules for adding exponents: solve the power first
  • Identify exponent expressions that can be solved
  • Solve equations with exponents
  • Explain why an equation with exponents can or cannot be solved or simplified
  • Bible: James 1:5
  • Ask God for wisdom and help in decisions
  • God has a plan and a will for our lives
  • Use the parts of an exponent to compose an equation and solve
  • Apply knowledge of adding exponents to word problems
  • Adding ratios
  • Rule for adding ratios
  • Simplify ratios
  • Apply knowledge of adding ratios to word problems
  • Bible: Daniel in the lion's den, David and Goliath
  • Isaiah 41:10
  • God is bigger
  • Adding scientific notation
  • Write and solve scientific notation addition problems
  • Convert numbers from scientific notation to standard form
  • Convert numbers from standard form to scientific notation
  • Rules for writing numbers in scientific notation
  • Identify incorrect equations when adding scientific notation
  • Apply knowledge of adding scientific notation to word problems
  • Bible: Isaiah 55:8–9
  • The greatness of God
  • Adding tax, tips, and sales
  • Real life applications of adding percentages
  • Use mental math and estimation to determine tax and total
  • Use mental math and estimation to determine tip and total
  • Use mental math and estimation to determine sale amount and total
  • Apply knowledge of finding and adding percentages to word problems
  • Bible: Proverbs 6:6–8
  • Principle of self-discipline
  • Adding percentages of different wholes
  • Real life application of adding percentages of different wholes
  • Steps for using mental math to add percentages of different wholes
  • Use mental math to add both tax and tip to determine total
  • Concept of compound interest, debit/payment, and credit/deposit
  • Determine compound interest
  • Balance a sample bank record
  • Bible: Mark 12:41–44
  • Generosity
  • Apply knowledge of adding percentages of different wholes to word problems
  • Adding polynomials
  • Steps for adding polynomials
  • Combine like terms to simplify polynomial addition expressions
  • Identify incorrectly simplified polynomial expressions
  • Apply knowledge of adding polynomials to word problems
  • Bible: Philippians 2:2
  • Write and simplify polynomial addition expressions
  • Base 2 addition
  • Base 2: number system used by computers
  • Rules for base 2 addition
  • Compare base 10 and base 2 addition
  • Real life uses of binary language
  • Steps to add using base 2 system
  • Use base 10 addition to check base 2 addition
  • Understand the relationship between base 10 and base 2 system
  • RGB: digital bits that calculate color
  • Apply base 2 addition to finding colors in computer programming
  • Translate RGB binary code to base 10 numbers
  • Bible: Jesus gave us the Helper
  • John 16:7
  • The Holy Spirit is with us
  • Convert base 2 to base 10 numbers
  • Convert base 10 numbers to base 2
  • Identify incorrect base 2 addition problems
  • Adding negative fractions
  • Review of adding fractions
  • Steps for adding negative fractions
  • Use division to determine if answers will be negative or positive
  • Apply knowledge of adding negative fractions to word problems
  • Bible: Matthew 23:2–4
  • Determine missing numbers to make negative fraction addition equation true
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