Yes! Many Gather 'Round families use this curriculum on its own for all their children and all their subjects—right through high school! We have testimonies of many grad students who have successfully made the leap to college or university, fully equipped to think for themselves and read the subtext of what is being presented. That being said, we also have some families who choose to supplement based on their student's needs or because they have a curriculum that they just love and don't want to give up.While there are some reviews online that question whether we are enough, it is important to note that those were often done in the early years when we were still a startup. We have created many more resources to help close gaps, beef up our content, and find the elusive balance between "enough" and "too much". Our style is different, we focus on less quantity and more contextual learning—which can feel too simple especially if you are coming from a more traditional curriculum. However, many of our parents say that their students actually remember what they are learning and the results speak for themselves over time.

Choose a unit/topic that either interests you or meets a need (such as if you are working toward certain credits).Purchase either the digital full family bundle (which includes both the Teacher's Guide and all levels of student books), the one student bundle (which includes the Teacher's Guide and one level of your choice), or the printed books. If you decide to go with our beautiful, high-end printed books . . . you will need the Teacher's Guide and one book for each student.

What do I need to add?

The units cover all of your subjects but math. Our Modular Math program is available to cover K-grade 9 math, but high school math is not yet available on our site (though we do have plans to create it). Currently, you will need to get about 8 units per year along with about 8 math units per student in order to create a full curriculum year. Some families choose to add seatwork or our other Language Arts add-ons, fun holiday mini-units, and more . . . but these are not required.

How do I choose levels for multiple kids?

Our main units are designed to be used with the whole family. We have individual student books available in the following levels.Pre-Reader: recommended for younger students who are not ready to read/write (preschool/kindergarten age)Early Reader: recommended for emerging readers/writers (6-8 years old)Early Elementary: recommended for students who are comfortable using a word bank to write some of their answers (8-10 years old)Upper Elementary: recommended for students who are ready to write a sentence response (10-13 years old)Middle School: recommended for students who are ready for paragraph responses and more personal application/light research (13-16 years old)High School: prepares students to ask big questions, think for themselves, and apply topics to their own lives. This level is recommended for 16-18 years old and includes papers, essays, and more research.Some of our units are shorter or more simplified into levels 1, 2, and 3. For these, Level 3 is designed for Middle and High, level 2 for Early Elementary and Upper Elementary, and Level 1 for Pre-Reader and Early Reader.

How Long does it take?

Each unit is designed to take about a month—which means you will never get bored! You get to create your year based on your students' interests, covering all your subjects for all your grades, through one cohesive program that all points to Jesus! Each lesson is designed to take about 2-4 hours (depending on how many students you have, their ages, and whether you are completing the option rabbit trails or watching the resource videos available on our app). You will read the Teacher's Guide first to all students (which takes about 40 minutes to an hour depending on how many videos you show or the discussions you have) and then students will move to their student workbooks and complete their pages there. Units that have 20 lessons can be done 5 days a week and therefore being completed in 4 weeks. Or they can be done 4 days a week and take a bit longer. Because of this, most families work through about 8 units in a year with breaks and co-op days mixed in.

All of our units come with answer keys to help you mark your student's work. We have tried a bit of everything: including the answers in the Teacher's Guide, having them in the back of student notebooks, and eventually settling on including them in your downloads immediately after your order. You can use the answer key to help assign grades, but we recommend using a rubric for more accurate grading. To do this, you would assign points based on things like understanding (30%), completion (50%), effort (15%), and neatness (5%).

What is Modular Math?

Modular Math is our brand new math curriculum that covers K-grade 9 math—taking students all the way through Algebra 1. The units are topical and each step takes about 1 month. This means they can be used in either a mastery approach (staying on a topic and working on it through multiple levels) or spiral approach (completing one step of each topic throughout the year). This program was created with steps instead of grades, allowing you to custom-tailor the program to your student without discouraging them with where they are at. It can be used as a remedial program or for gifted students who want to move faster. Each day includes 2 pages. Day 1 teaches a new concept (and includes a devotional) and day 2 has practice that builds throughout the unit in a spiral approach. All you have to do is take a placement test on a topic and jump in! It is open and go with no teacher's guide, no manipulatives or resources required, and written directly to the student so that they can work independently. Yes, math can be this easy!

Curriculum itself cannot be accredited, only schools can. Accreditation means a school with qualified teachers, reporting, and grading that is following the government requirements for each grade. That being said, Gather 'Round Homeschool curriculum can absolutely be used all the way through High School by you, the parent! Most schools use the Carnegie method to assign credits, this means that 120 hours of instruction in a topic = 1 credit. We've made it super easy to you by training our very own Gather bot! All of our units cover such a wide variety of subjects that you can use the bot to help figure out how many credits have been covered (or will be covered) based on the units you have done or are planning on. We also have access to full high school plans, transcripts, and unit credit breakdowns on our high school page here.

What is the Online Academy?

The Gather ‘Round Academy is our online school, designed to fit into your home with the support your family needs. Our teachers offer school-year planning assistance, grading, report cards, transcripts, and tutoring. We also offer online courses to accompany several of our Gather ‘Round units. You can choose to enroll for a full year of support, subscribe for access to our complete video library, or join as a member for a 15% discount on video courses and stand-alone services. Memberships are just $39 USD a month and are included with Independent Enrollment or an Insider Subscription, with access to our student community and parent hub with monthly summits.Live ClassesWe have about 600 students who tune in online to watch a lesson being taught live by a teacher - complete with polls, comments, reactions and resources. Replays are also available for 10 weeks for families who miss a class. Homework is assigned and families complete their student notebooks together. Classes run daily from Monday-Thursday at 10:00 am EST or 2:00 pm EST, with scheduled breaks between units and during holidays.On-Demand Video Courses Currently available is Modular Math Number Sense, Ready to Read 1, Music, Botany, US History 4 and Entrepreneurship. Each of our live classes will also be available on demand, with additional Modular Math and Ready to Read videos in production! Eventually we hope to have video lessons available for all Gather ‘Round Units.Learn more

Can I use it in a group?

Gather 'Round is licensed for individual family use only (which means to a parent/guardian and the children they are legal guardians of). If you want to use this in a small group (with your sister, friend, or a few friends), you will need to make sure that each person owns their own materials, as file sharing and copying (or teaching to student's outside your home) is not allowed. If you want to use this in a co-op or hybrid model to a large group of students, we do require that you purchase print and sign an agreement stating that you will not photocopy or share. With this option, we also do have a group discount available. Learn more here.

Modular Math

Fractions

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Fractions

Release Date: July 6

Welcome to Fractions! Students begin by exploring parts of a whole, symmetry, and simple fractions before learning to compare, represent, and apply fractions using number lines, measurement, and equivalent values. As they progress, they tackle fraction operations, ratios, proportions, percent change, algebraic expressions, and geometry through our spiral and mastery approach that reinforces concepts while building deeper mathematical understanding.

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Placement Test

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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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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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Certificate

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

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Certificate

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

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Scope and Sequence

Check out the scope and sequence for this unit.

Fractions

Foundations

Module 1

Parts vs. whole
Define and represent whole and parts
Identify shapes that are split into parts
Match wholes and their parts
Identify objects that are wholes
Determine if objects are whole or in parts
Identify the number of parts an object is broken into
Trace the lines on a shape to split objects into parts
Bible: A whole is complete with nothing missing
Genesis 1:31 says God created everything and said, "it was very good;" God's creation was whole and perfect

Module 2

Half vs. whole
Review wholes and parts
Define halves
Determine which shapes were wholes and which were split in half
Determine if a given shape is split in half or if it is whole
Color half of a given shape
Identify the shape that is split in half
Trace the lines to split the given shapes in half
Look at two shapes that are split in half differently and discuss
Bible: We should treat people the way we want to be treated because that is fair
Matthew 7:12

Module 3

Real-life halves
Visualize examples of half with everyday objects like a sandwich, paper, pizza, and a hotdog
Note how when two halves come together, they form a whole
Circle items that are half full or show half
Represent cutting objects in half by tracing lines through the middle
Determine the number of parts created when the object is broken in half
Identify half of an object
Split a snack in half
Bible: Sometimes our heart feels broken like it really is split in half
Psalm 34:18 says the Lord is close to the brokenhearted

Module 4

Equal parts
Distinguish between objects in two pieces and objects in half
Show examples of objects split in half
Identify words that mean equal
Identify objects that are split into equal parts
Label pieces as equal or not equal
In contextual situations, determine if the objects described are equal or not
Eliminate objects that are split unequally
Draw lines to represent splitting shapes equally
Bible: The poor woman who gave two coins gave all her money, not just part
Mark 12:44; we can give our whole hearts to Christ

Module 5

Matching pairs
Define pairs
Show examples of how halves (or pairs) can come together to make a whole
Match pairs together to make a whole
Identify the missing half
Determine pairs that are not matched correctly
Discuss with a family or class: can different shape halves come together to make a whole?
Bible: God protected creation by having a pair of each animal board the ark
Genesis 6:19

Module 6

Half of a group
Half of a whole vs. half of two
Split a pair of items in half
Determine the number of pieces in each group
Determine if items are split evenly
Draw a line to split objects
Draw two balloons, and then split them into two groups
Bible: God gives us all that we need as well as gifts and talents, and we should share those things with others
Matthew 10:8

Module 7

Matching wholes with halves
Choose halves that belong to a whole when given a choice of various shapes
Give examples of halves that fit together even when the pieces are twisted
Match halves to the whole it could create
Match the object to the correct half
Cross out half that does not belong
Choose a whole that can be made from a given half
Bible: Love the Lord with all your heart
Matthew 22:37

Module 8

Building with halves
Cut and paste shapes to create wholes
Connect a half to a given half to make a whole
Match two halves together to create a whole
Bible: Through Christ, you have been brought to fullness; Jesus is our other half
Colossians 2:10a

Module 9

Introducing symmetry
Symmetrical and nonsymmetrical definition and examples
Relate halves to symmetry
Trace a line on the shapes to show the line of symmetry
Complete and read the definition of symmetry
Identify shapes that are split symmetrically
Draw lines of symmetry on shapes
Draw the other half of shapes
Bible: Be doers of the word; our lives should match our actions and words
James 1:22

Module 10

Half of the day
The day can be split in half
Define midday and noon
Shade fraction bar to represent day and night
Identify the time that is half of the day
Describe what things you might do during the daytime
Describe what things you might do at night
Choose the clock that shows 12:00
Bible: God made day and night
Genesis 1:5

Step 1

Module 1

Parts vs. whole
Define fractions and wholes
Examples of equal and unequal
Color and count parts of a whole
Determine if shapes are split equally or unequally
Match the parts to the whole
Identify shapes that are whole
Bible: God uses all parts of our lives for good
Romans 8:28

Module 2

Two parts of a whole
Define halfway and half
Identify halves and not halves
Trace lines to split objects in half
Identify an equal number of parts
Circle matching halves
Answer yes-or-no questions involving halves
Draw a line to split a shape equally and one to split a shape unequally
Bible: Two halves make a whole; Jesus is the only thing that can complete us
Psalm 23:2

Module 3

Three parts of a whole
Show representation of a shape split into three equal parts
Show how shapes can be divided in different directions and still be equal (horizontal and vertical)
Match the whole to a picture that shows the shape split into three parts
Answer yes-or-no questions
Identify objects split into three equal parts
Shade in one part of three
Count the shaded parts and total parts
Determine if shapes are split into three equally or unequally
Bible: Jesus rose on the third day
Hosea 6:2

Module 4

Four parts of a whole
Show how one whole is equal to 4 fourths (without using the word fourths yet)
See examples of things equally split four ways and unequally split
Color parts of a whole split into four
Determine if a shape is split into equal parts or unequal parts
Eliminate the object that is not split into four parts
Color each part a different color
Identify the shape split into four equal parts
Count the shaded, unshaded, and total parts of the given shape
Bible: To split shapes equally, we have to be careful; rushing might not give us a fair result
2 Timothy 2:15 says to rightly handle God's word

Module 5

What is a fraction?
Show and explain parts of a fraction: numerator, denominator, shaded, and parts
Describe how to read fractions out loud using halves, thirds, or fourths
Identify written fractions
Determine the numerator and demoninator from a given model of a fraction
Color the parts of a fraction
Match the written fraction to its name
Identify correct way to say fractions
Bible: Just like we name fractions, Psalm 147:4 tells us that God knows the names of all the stars, so He surely knows us, too

Module 6

Writing and naming fractions
Use what we notice about fractions to say them or write them
Halves, thirds, and fourths
Write numerators to complete the fraction
Identify correctly written fractions
Using an image, write the fraction and read the fraction out loud
Bible: Gracious words are like a honeycomb, and the words we choose to say matter
Proverbs 16:24

Module 7

Comparing fractions
The smaller the number of pieces, the bigger the piece
Signs: < , >
Shade in one part of a fourth, third, and half
Compare one-half and one-fourth and discuss which part of a cupcake you would rather have and why
Put fractions in order
Use > or < to compare two fractions
Draw lines on fractions to match the description then compare
Bible: Small things can make a big difference
1 Timothy 4:12

Module 8

Equal fractions
Fractions like 1/2 and 2/4 show the same amount
Compare fractions as equal or unequal
Identify fractions that are the same as 1/2
Fill in missing numerators or denominators in a fraction number sentence
Bible: Let everything that has breath praise the Lord; just like there are different ways to make 1/2, there are different ways to praise God
Psalm 150:6

Module 9

Real-life fractions
Money: dollar as a whole (four quarters), 1/2 is two quarters, 1/4 is one quarter
Time: hour is a whole (60 minutes), 1/2 is 30 minutes, 1/4 is 15 minutes
Capacity: whole is 1 cup then there is 1/2 cup and 1/4 cup
Identify the whole of a given measurement
Identify which units are related to the given whole
Shade in a fraction on a clock
Match parts to the whole
Identify a collection of coins that total one dollar
Complete a chart based on measurements
Bible: His mercies are new every morning; each day is broken up into little sections, and each section is a chance to start new; our mistakes aren't held against us
Lamentations 3:22-23

Module 10

Word problems
Clue words help us to understand what is happening in the problem
Identify fractions in everyday objects: sandwiches, pies, butter, chocolate bars, and cookies
Cut objects into fractions
Select the object that has one part left over
Write fractions that represent an object in a given situation
Match the fraction description to the representation
Draw lines and shade parts of the fractions represented
Bible: The Lord cares about our worries
Psalm 55:22

Step 2

Module 1

What is a fraction?
Equal parts
Comparing parts of a whole
Whole, halves, thirds, fourths
How to read and write a fraction
Understand and use the terms numerator, denominator, and fraction bar
Use pictures to represent parts of a whole
Identify numerators and denominators in fractions
Match fractions in word and digit form
Identify and correct mistakes in fractions
Apply knowledge of fractions to solve word problems
Bible: God knows every part of me
John 10:14

Module 2

Visualizing fractions
Use pictures to show parts of a whole
Equal vs. unequal parts
Dividing shapes into equal parts
Identify numerator and denominator using a shaded shape
Write a fraction to show the shaded parts of a shape
Bible: Fruit of the spirit is made up of nine parts
Galatians 5:22–23

Module 3

Fractions of sets
Shade items to visualize fractions of a set
Answer questions about a fraction of a set
Identify denominator as the total number in the set
Identify numorator as the part that is selected from the set
Write fractions based on given information
Create your own fraction of a set with chosen information
Bible: Every person matters to God
Luke 15:4

Module 4

Compare fractions with like numerators
Two same-size objects can be divided into different amounts
Use greater than or less than to compare
The larger the denominator, the smaller the parts
Shade the correct fraction and write the correct symbol to compare
Identify the larger fraction in a word problem
Draw and shade a shape to match the fraction given
Write a fraction to correctly complete the given equation
Explain why the larger the denominator, the smaller the number
Bible: God sees the greatness of the heart and doesn't measure things the way we do
1 Samuel 16:7

Module 5

Compare fractions with like denominators
Look at the numerator to tell which fraction is bigger in given problems
The bigger numerator shows more parts of the same whole
Compare fractions with greater than and less than symbols
Identify the larger fraction
Shade in the parts to show the given fractions
Identify the larger fraction in a word problem
Fill in the blanks with fraction-related words
Write your own two fractions and compare them
Bible: Being gentle and humble may seem "less than" to the world, but it is "greater than" in God's eyes
Matthew 5:5

Module 6

Order unit fractions
The top number is always 1 in a unit fraction
Order fractions from largest to smallest
Recognize the larger fraction from a visual
Identify a unit fraction
Write unit fractions to name the shaded part
Solve word problems with unit fractions
Identify smaller fractions
Explain to someone that the smaller bottom number is, the larger fraction when the numerators are the same
Color a unit fraction of a shape correctly
Match shapes with equal, colored-in fractions
Bible: Every person is valued, loved, and treasured by God
Luke 15:8-9

Module 7

Equal fractions
Comparing to find same-size fractions
Fractions that represent half of a whole: 1/2, 2/4, 3/6
Fractions that represent a fourth of a whole: 1/4, 2/8, 3/12
Identify fractions that are not equal with visuals
Color shapes to show two given equal fractions
Identify the correct relationship between 1/2 and 2/4
Bible: God's love never changes
Romans 8:29

Module 8

Making a whole
Shaded parts show what we have and unshaded parts show what is missing
When the numerator and denominator are the same, we have a whole
Identify how many more pieces you need to make a whole
Write fractions for the shaded and unshaded parts
Match shapes with the fraction needed to make it whole
Bible: Only Jesus can make us whole
Colossians 2:10

Module 9

Fractions in linear measurements
Read fractions of an inch on a ruler: 1/4, 1/2, 3/4
Each fraction shows how far from zero
Number lines work the same as a ruler
Match number-line marks to represented fractions
On a number line: 2/4 = 1/2
Measure objects
Compare lengths
Bible: Think before you speak or act
James 1:19

Module 10

Fractions in volume measurements
In recipes, a part of a cup is a part of a whole: 1/4, 1/2, 3/4
Read a measuring cup
Four 1/4 cups = one whole cup
Measuring spoons: 1 teaspoon, 1/2 teaspoon, 1/4 teaspoon
Three 1/4 teaspoons = 3/4 teaspoon
Practice labeling measuring cups
Practice adding fractions of cups or teaspoons to get more
Recipe word-problem solving
Bible: God's love doesn't have limits; He fills our life with His goodness
John 1:16

Step 3

Module 1

Introduction to fractions
Definition of a fraction: shows part of a whole
Parts of a fraction: numerator, fraction bar, denominator
Halves, thirds, fourths
Use a hyphen when writing a fraction in words
Reading a fraction out loud
Match fractions to the correct image
Identify numerators and denominators
Shade shapes to show a given fraction
Write fractions from supplied information
Bible: You are an important part of God's "whole"
Isaiah 40:11

Module 2

Fractions with shapes
Fractions can be shown with numbers or with models
Fraction models can be any shape as long as they are divided into equal parts
Fractions can show part of a group of items
Practice writing a fraction for a given group
Identify the numerator by coloring shapes to match
Bible: Jesus teaches us little by little
John 4:26

Module 3

Equivalent fractions
All equal: 1/2, 2/4, 4/8
Equivalent means equal in value
Multiply the numerator and denominator by the same number to make equivalent fractions
Practice making equivalent fractions by multiplying by 2
Color shapes to show equivalent fractions
Determine if two visuals are equivalent or not
Practice making equivalent fractions by multiplying by 3
Determine what number the fractions have been multiplied by to get equivalent fractions
Bible: Jesus never changes even though He is called different names
Hebrews 13:8

Module 4

Fraction comparison
Same denominators = compare the numerators
Same numerators = the bigger denominator is the smaller piece
Choose the correct fraction to make a true statement
Identify the larger fraction in a group
Practice explaining how a larger denominator means a smaller fraction when numerators are the same
Practice choosing the correct statement about fractions
Answer word problems by comparing fractions
Bible: God is always perfectly fair
Psalm 98:9

Module 5

Ordering fractions
Ordering helps see how a group relates to each other
Least = smallest and greatest = largest
Use the greater than and less than symbols to order fractions
Use visuals to determine order
Identify the largest and smallest fraction in a set
Practice ordering given fractions from least to greatest
Practice coloring bars to show fractions in order
Use a graph to decide which fraction is largest
Bible: The humble are honored by God
Luke 9:48

Module 6

Add like fractions
When adding fractions, the denominators must be the same
Steps used in adding like fractions
Practice adding like fractions
Identify if you can add two fractions
Identify what someone did wrong in adding the fractions
Working backward to solve problems
Color shapes to represent the equation
Solve word problems using fraction addition
Bible: Make sure your heart and your actions match; love isn't just something we say, it is something we show
1 John 3:18

Module 7

Subtract like fractions
Same steps as addition but taking parts away
Practice using the three steps to solve problems
Determine if you can or cannot subtract given fractions
Show subtracting fractions using a visual
Check solved problems and identify incorrect ones
Write an equation for the word problem and solve
Identify a missing denominator
Bible: Subtract things that keep you from living for God
Ephesians 4:31

Module 8

Fractions and number lines
Read fractions on a ruler: 1/4, 1/2, 3/4
Identify what fraction a dot is showing on a ruler
Follow instructions to label a number line
Fill in mssing fractions on a ruler
Mark a number line on the correct fraction
Use number lines to answer questions
Measure a crayon
Bible: God is always fair and trustworthy
Deuteronomy 32:4

Module 9

Fractions as division
A fraction bar is like a small division sign
Numerators show what is being divided
Denominators show how many groups it is being divided into
Rewrite fractions as division problems
Match fractions to their division problems
Practice dividing squares equally
Write fraction and division problems to represent a visual
Use a visual to solve a word problem requiring division
Bible: The Bible is made up of different parts, but they all point to Jesus
2 Timothy 3:16

Module 10

Decomposing fractions
Decomposing fractions means taking them apart like LEGO bricks
Learn different ways to seperate fractions
Fill in the missing numerators to complete the decomposition
Label parts to visualize the decomposed fractions
Identify how a fraction has been decomposed
Bible: Put on each piece of the whole armor of God
Ephesians 6:11

Step 4

Module 1

Meet mixed numbers
Fractions show parts of a whole; mixed numbers show a mix of parts and wholes
Parts of a mixed number: whole number, numerator, fraction bar, denominator
Practice writing mixed numbers to represent the shapes shown
Write mixed numbers from words
Color shapes to signify the mixed numbers given
Compare mixed numbers to colored shapes: equal or not equal?
Solve a word problem with visuals to find a mixed number
Write a mixed number using the information given
Bible: Go the extra mile to show God's love to others
Matthew 5:41

Module 2

Improper fractions
An improper fraction is greater than one whole
Use shapes to visualize improper fractions
7/4 = 1 3/4
Fill in the missing numerator and denominator
Divide and shade shapes to show improper fractions
Practice writing improper fractions as words
Bible: Jesus fills us abundantly with love, joy, and peace; let it overflow to others
John 10:10

Module 3

Mixed numbers and improper fractions
How to convert a mixed number into an improper fraction
How to convert an improper fraction into a mixed number
Identify if something is a mixed number or an improper fraction
Practice solving word problems with mixed numbers
Practice explaining the difference between an improper fraction and a mixed number
Practice explaining how to convert a mixed number into an improper fraction
Practice explaining how to convert an improper fraction into a mixed number
Bible: God cares about order and peace
1 Corinthians 14:33

Module 4

Add mixed fractions
First option: change to improper then add
Second option: separate then add
Practice using each option
Practice converting mixed numbers to improper fractions and vice versa
Practice making denominators the same
Which method do you prefer?
Order the steps for adding mixed fractions
Solve the word problem that includes mixed fractions
Bible: Tell others about Jesus to grow God's family
Acts 2:47

Module 5

Subtract mixed fractions
Take parts away instead of putting them together
Borrow to make it work
Two different options for subtracting mixed fractions
Option one: separate then subtract
Option two: change to improper then subtract
Practice using each option
Practice determining if you need to borrow or not
Practice rewriting each mixed number to regroup
Solve a word problem with the "separate, then subtract" option
Bible: We can borrow from God's strength
Isaiah 40:29

Module 6

Equivalent fractions
Equivalent fractions look different but mean the same thing: 6/8 = 3/4
Create equivalent fractions by multiplying (to find a larger version) or dividing (to find the simpler version) the numerator and denominator by the same number
Practice filling in missing numbers to make equivalent fractions
Use visuals to show equivalent fractions
Practice making equivalent fractions by multiplying
Identify equivalent fractions in a set
Practice explaining what you learned
Identify models that show equivalent fractions
Match the equivalent fractions
Bible: God sees infinite possibilities; He knows everything, so we can trust Him
Psalm 147:5

Module 7

Fractions and decimals
Best way to see fractions' connection to decimals is with money
$1 = 100 cents (pennies)
One penny (1 cent) = 1/100 of a dollar = 0.01 = one-hundredth
One dime (10 cents) = 10/100 (1/10) of a dollar = 0.1 = one-tenth
One quarter (25 cents) = 25/100 (1/4) of a dollar = 0.25 = twenty-five hundredths
Fill in the charts using the information learned
Match the decimal and fraction with their word names
Match the coins to their decimals and fractions
Identify which decimals are equal to the given fractions
Bible: Every little piece of kindness adds up to a life that shows Jesus
Colossians 3:17

Module 8

Adding with different denominators
Use equivalent fractions to find common denominators
Multiply each fraction by the other fraction's denominator to get matching denominators
Identify which faction to change to create like denominators
Bible: Treat others the way God teaches so we can all live in peace
1 Peter 3:8

Module 9

Subtract with different denominators
Rewrite denominators as equivalent fractions
Review how to find equivalent fractions just like with adding
Practice finding equivalent fractions to rewrite and solve subtraction problems
Solve word problems using what was taught
Identify problems that can't be solved as written
Bible: Subtract from your life anything that takes you away from God: bad habits, worries, unkind attitudes, etc.
Hebrews 12:1

Module 10

Mixed numbers with different denominators
Put together the steps you have already learned to solve problems
Review: matching denominators, add and subtract whole numbers and fractions, turn improper fractions into mixed numbers
Practice following the steps to add mixed numbers
Practice following the steps to subtract mixed numbers
Bible: Step by step, God is with you
Proverbs 21:5

Step 5

Module 1

Multiply fractions and whole numbers
Repeat addition of fractions
Convert whole numbers to fractions
Convert repeated addition problems to multiplication problems
Convert multiplication problems to repeated addition problems
Identify whole numbers that have been correctly converted to fractions
Write equations for visual shapes given
Write equations for word problems
Bible: God takes our broken parts and makes them whole again
1 John 1:9

Module 2

Multiply fractions by fractions
Turn a part of a whole into a smaller fraction
Multiplying two parts tells how much of the whole we have
Multiply numerators then multiply denominators in an equation
Color part of a shape, and then divide that into smaller parts to visualize the fractions within a fraction
Solve word problems with two fractions
Write an equation for a question
Solve a riddle based on the correct answers of an equation
Convert whole numbers into fractions and multiplying the two fractions
Bible: Nothing is too small to offer God; don't underestimate God
Matthew 17:20

Module 3

Simplify fractions
Use smaller numbers without changing the value
Compare two fractions that have the same worth
Find common factors between numerators and denominators
Identify the greatest common factor
Divide the numerator and denominator by the greatest common factor
Shade different fractions of shapes to see their equal worth
Make factor trees
Identify if a fraction is simplified
Find the answer to a word problem and simplify the fraction
Bible: Simplify your life and put God first
Luke 10:41–42

Module 4

Dividing by a whole number
Split a fraction into smaller equal parts
Use the strategy of "Keep it, change it, flip it"
Always start by changing the whole number to a fraction
Step 1: Keep the first fraction the same
Step 2: Change the division sign to multiplication
Step 3: Flip the numerator and denominator of the second fraction
Rewrite division problems as multiplication problems
Find errors in incorrect equations
Write division equations for word problems
Write a problem backward to check the work
Bible: Jesus feeds 5000 with five loaves and two fish
Share what you have and watch God multiply the blessing

Module 5

Dividing by a fraction
Follow the same steps as the previous lesson
When dividing a whole number by a fraction, the number gets bigger
Rewrite equations as a multiplication problem
Proof calculations and find incorrect ones
Solve word problems
Work backward to fill in equations
Bible: God can multiply our obedience into abundant blessings
Luke 5:6

Module 6

Decimal equivalents
Fractions and decimals are two ways to show the same number
Fractions use a bar, and decimals use a dot
A coin shows part of one dollar
One quarter = 1/4 of a dollar = $0.25
Each dime = 1/10 of a dollar = $0.10
Memorize commonly used fraction-to-decimal conversions using homemade flash cards
A line above a digit means it goes on forever
Fill in the decimal equivalents of coin fractions
Write fractions and decimals for dimes
Match decimals to fraction equivalents
Solve word problems by comparing a fraction and a decimal to see which is bigger
Add decimals to get fractions
Adjust a recipe with correct fractions and decimal conversions
Bible: God's truth never loses its value
Isaiah 40:8

Module 7

Percentage connection
Percent literally means "per hundred"
Make a percent a fraction: the percent number becomes the numerator of a fraction, and 100 is always the denominator
Make a fraction a percent: multiply both numbers by the same number to make the denominator 100, and the numerator is the percent
Practice converting percentages into fractions and vice versa
Use a calculator to convert an uneven percentage
Solve word problems by converting fractions to percentages
Bible: A tithe is 1/10 of our earnings given as an offering to God; give with joy
2 Corinthians 9:7

Module 8

Fraction division
Numerator is what is being divided; the denominator is what it is divided by
Top goes in (the division bar) and bottom stays out
Determine which fractions can be made division problems
Add zeros to problems as needed
Write a line over numbers that repeat
Divide a fraction to find the answer to a word problem
Bible: Jesus converts us into something new
2 Corinthians 5:17

Module 9

Data representation
Graphs help visualize how each part compares to the total
Find fractions in a graph: parts are the numerator, and the whole is the denominator
Use a bar graph to find the fraction of a total group
Answer questions using a graph
Take a survey to make your own graph
Answer questions based on a line graph
Bible: God uses every part of our lives (good and bad) to shape us and glorify Him
Romans 8:28

Module 10

Fractions in geometry
Sometimes the sides of shapes are fractional lengths
Find the perimeter by adding all sides
Find the area by multiplying length times width
Area units are squared
Practice finding the area and perimeter of squares and rectangles
Fill in the blanks to review steps using fractions in perimeter and area equations
Solve word problems involving perimeter and area with fractional lengths
Practice filling in a table using what you learned this lesson
Bible: Use your time wisely to build your faith, serve others, and honor God
Psalm 90:12

Step 6

Module 1

Rational operations
Review rational numbers and irrational numbers
Review solving all types of problems with negative numbers: fraction operations with negative numbers follow the same rules as integers
Determine if a problem will result in a positive or negative number
Solve computation problems involving fractions and negatives
Bible: God can take "negative" situations in our lives and turn them into positives
Genesis 50:20

Module 2

Algebraic fractions
Define and give examples of several different types
Review order of operations
Identify algebraic fractions out of a list of possibilities
Solve expressions, fill in the blank, and computation
Plug in a number for a variable then match expressions
Bible: Life has unknowns; God always has the right answer
Psalm 147:5

Module 3

Complex fractions
Define and give examples of several types
Rewrite division problem as a fraction
Review dividing a fraction by a fraction
Rewrite expressions horizontally
Simplify expressions by filling in the blank and computation
Bible: Perseverance
James 1:4

Module 4

Fraction equations
Define and show examples of how to isolate variables within
Fill in blanks to solve for the variable
Simplify one-step fraction equations
Simplify two-step fraction equations
Simplify one-step fraction equations involving integers
Bible: God is the greatest substitution
2 Corinthians 5: 21

Module 5

Proportions
Define proportions by using art as a real-world example
Use a technique called cross-multiplication
Show steps to isolate the variable to solve for the missing parts of the proportion
Given fractions, use cross-multiplication to determine if the fractions are proportional or not
Write ratios in fraction form when given a ratio with a colon
Solve for unknowns in proportions
Fill in the blanks for multistep problems
Complete word problems involving proportions
Bible: The widow and two coins; gave proportionally more than the rich people did
Mark 12:43-44

Module 6

Rate and speed
Define rate, work example, and give visual
Define speed as a proportion between distance and time with two examples shown
Write proportion from given scenario
Solve for missing parts of proportion
Compare two cars traveling at different miles per hour
Solve word problems involving rate and speed
Bible: Run the race with endurance
Hebrews 12:1

Module 7

Percent change
Discuss how numbers can fluctuate over time
Define percent change, shown formula, and example
Change can be positive or negative
Fill in the blanks to complete percent change problems
Solve for the percent change in computation problems and word problems
Bible: Just like a percent change shows growth or decline, God wants to bring change to our lives
Romans 12:2

Module 8

Fraction coefficients
Define the coefficients and review how to solve
Solve computation problems with fraction coefficients
Solve word problems involving coefficients
Bible: Do not let anyone look down on you because you are young; even a small variable in a math problem can make a big difference
1 Samuel 17:40

Module 9

Geometry with fractions
Review scale factor: use two shapes to write ratios using the formula provided
Midpoint on a graph using a formula
Discuss how the midpoint is the average of the distance between two points on a coordinate grid
Use real-world situations such as a brochure and a poster to find the scale factor
Solve to find missing parts of a shape but using a scale factor
Solve for the midpoint on the coordinate planes
Solve for midpoints when given the points only
Bible: God is a God of order
1 Corinthians 14:33

Module 10

Compound interest
Define compound interest, principal, and interest rate
Explain the formula and each part within
Search for errors in worked problems
Given scenarios involving compound interest, fill in the total interest earned, complete the formula, and calculate the end balance after a given number of years
Bible: "Where your treasure is, there your heart will be also"
Matthew 6:21

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