A comprehensive Grade 4 mathematics curriculum that develops mastery in multi-digit operations, fraction concepts, measurement conversions, and geometric reasoning while revealing God's orderly design in mathematics and its practical applications in His creation.
Master multi-digit multiplication and division with understanding of place value to 1,000,000
Develop fluency with fraction equivalence, comparison, and operations with like denominators
Apply mathematical reasoning to solve multi-step word problems using all four operations
Understand measurement conversions, angle measurement, and geometric classification while recognizing God's precise design in creation
Click any week to see daily lesson details.
Explore place value positions from ones through millions, understanding how each position represents ten times the value of the position to its right.
Recognize place value to 1,000,000hands-onPractice reading and writing multi-digit numbers in standard, word, and expanded form, connecting to large numbers in Scripture like census counts.
Read and write multi-digit whole numbersdiscussionCompare multi-digit numbers using place value understanding and inequality symbols, exploring how God knows exact counts of stars and grains of sand.
Compare multi-digit numbers using >, =, <worksheetRound whole numbers to any place value (tens, hundreds, thousands, etc.) and understand when rounding is useful in real-world situations.
Round multi-digit numbers to any placegameIdentify patterns in the base-ten system and apply place value understanding to solve problems, reflecting on Psalm 147:4 where God numbers the stars.
Analyze place value patternsprojectReview and practice the standard algorithm for adding multi-digit numbers, including problems with multiple regrouping.
Add multi-digit numbers using standard algorithmworksheetApply the standard algorithm for subtracting multi-digit numbers with regrouping, using multiple strategies to verify answers.
Subtract multi-digit numbers with regroupinghands-onUse rounding to estimate sums and differences before calculating, then check for reasonableness of answers.
Estimate to verify reasonablenessgameSolve multi-step word problems involving addition and subtraction, identifying key information and choosing appropriate operations.
Solve multi-step problems with addition/subtractiondiscussionApply addition and subtraction skills to calculate measurements and quantities from biblical temple descriptions, appreciating God's attention to detail.
Apply operations to real-world contextsprojectReview and solidify multiplication facts through 10×10, building fluency and recognizing patterns in the multiplication table.
Fluently multiply within 100gameUnderstand patterns when multiplying by 10, 100, and 1,000, recognizing how place value shifts with powers of ten.
Multiply by multiples of 10hands-onUse area models to visualize multiplication of larger numbers, breaking numbers into parts using the distributive property.
Multiply using area modelsworksheetPractice the partial products method for multiplying multi-digit numbers, understanding how it connects to place value.
Multiply using partial productshands-onSolve multiplication word problems in the context of Jesus feeding the multitudes, calculating quantities and recognizing God's abundance.
Solve multiplication word problemsdiscussionLearn and practice the standard algorithm for multiplying up to 4-digit numbers by 1-digit numbers with regrouping.
Multiply 4-digit by 1-digit numbersworksheetExtend multiplication skills to multiply two 2-digit numbers using the standard algorithm and area models.
Multiply two 2-digit numbershands-onEstimate products before calculating and verify the reasonableness of multiplication answers using rounding strategies.
Estimate products and check reasonablenessgameSolve complex word problems requiring multiple multiplication steps, organizing information and planning solution strategies.
Solve multi-step multiplication problemsdiscussionCalculate dimensions, areas, and animal counts related to Noah's Ark, appreciating God's detailed instructions and provision.
Apply multiplication to biblical contextsprojectReview division as equal sharing and equal grouping, connecting to real-world situations and biblical principles of fairness.
Understand division conceptshands-onExplore what remainders mean in division problems and how to interpret them in different contexts.
Divide with remaindersdiscussionPractice dividing 2-digit and 3-digit numbers by 1-digit divisors using place value understanding and the standard algorithm.
Divide up to 3-digit by 1-digitworksheetExtend division skills to divide 4-digit numbers by 1-digit divisors, managing multiple steps with accuracy.
Divide 4-digit by 1-digit numbershands-onSolve division word problems in the context of Jesus' feeding miracles, interpreting remainders appropriately.
Solve division word problemsprojectFind all factor pairs for whole numbers 1-100 using arrays, area models, and systematic listing strategies.
Find factor pairs for numbers 1-100gameDetermine whether numbers are prime or composite, understanding that prime numbers have exactly two factors.
Identify prime and composite numbershands-onGenerate multiples of given numbers and identify common multiples, recognizing patterns in skip counting.
Find multiples of whole numbersworksheetExplore the relationship between factors and multiples, using Venn diagrams to organize and compare numbers.
Analyze factor and multiple relationshipsdiscussionInvestigate special numbers in Scripture (7, 12, 40) and their factors, reflecting on God's intentional design in creation.
Apply factor knowledge to biblical numbersprojectGenerate number patterns following given rules, identifying the pattern rule when given a sequence.
Generate and identify number patternshands-onAnalyze patterns that increase or decrease, predicting future terms and finding missing terms in sequences.
Analyze arithmetic patternsworksheetIntroduce variables as symbols representing unknown quantities, using letters to write simple expressions.
Use variables to represent unknownsdiscussionComplete function tables showing relationships between numbers, identifying the rule connecting inputs and outputs.
Analyze function relationshipsgameDiscover mathematical patterns in nature (Fibonacci, spirals, symmetry), recognizing God's orderly design in the created world.
Identify patterns in real-world contextsprojectReview and practice multiple problem-solving strategies: draw a picture, make a table, work backwards, find a pattern.
Apply problem-solving strategiesdiscussionSolve word problems requiring two different operations, identifying which operation to perform first.
Solve two-step word problemsworksheetTackle problems requiring three or more steps, organizing information and planning solution pathways.
Solve multi-step problems with all operationshands-onIdentify and ignore irrelevant information in word problems, focusing on data needed to solve the problem.
Identify relevant vs. extraneous informationgameSolve complex problems involving measurements and materials for the tabernacle, appreciating God's precise instructions to Moses.
Apply operations to biblical construction scenariosprojectReview fractions as parts of a whole, understanding numerator and denominator, and representing fractions with models.
Understand fraction notation and modelshands-onPlace fractions on number lines, understanding fractions as numbers between whole numbers.
Represent fractions on number linesworksheetGenerate equivalent fractions using visual models, understanding that different fractions can represent the same amount.
Identify and generate equivalent fractionshands-onCompare fractions with like denominators or like numerators using visual models and reasoning.
Compare fractions using modelsgameExplore the biblical concept of tithing as giving one-tenth, working with fractions in the context of stewardship.
Apply fractions to biblical stewardshipdiscussionGenerate equivalent fractions by multiplying numerator and denominator by the same number.
Generate equivalent fractions through multiplicationworksheetSimplify fractions by dividing numerator and denominator by common factors, finding simplest form.
Simplify fractions to simplest formhands-onIdentify families of equivalent fractions and recognize that they represent the same point on a number line.
Recognize equivalent fraction relationshipsgameUse benchmark fractions (1/4, 1/2, 3/4, 1) to estimate and compare other fractions.
Use benchmarks to compare fractionsdiscussionCreate a visual fraction wall showing equivalent fractions, appreciating the order and relationships God designed in mathematics.
Visualize equivalent fraction relationshipsprojectCompare fractions with like denominators by comparing numerators, understanding why this works.
Compare fractions with like denominatorsgameCompare fractions with like numerators by comparing denominators, recognizing that larger denominators mean smaller pieces.
Compare fractions with like numeratorshands-onFind common denominators to compare fractions with different denominators, using equivalent fractions.
Compare fractions using common denominatorsworksheetCompare fractions by relating them to benchmark fractions like 1/2, making comparisons easier.
Use benchmarks to compare fractionsgameOrder sets of fractions from least to greatest using multiple comparison strategies.
Order multiple fractionshands-onAdd fractions with like denominators using visual models, understanding that denominators stay the same.
Add fractions with like denominatorshands-onAdd mixed numbers with like denominators, regrouping when the fraction sum exceeds one whole.
Add mixed numbers with like denominatorsworksheetDecompose fractions into sums of fractions with the same denominator in multiple ways (e.g., 3/8 = 1/8 + 1/8 + 1/8).
Decompose fractions into unit fractionshands-onSolve real-world word problems involving addition of fractions and mixed numbers with like denominators.
Solve fraction addition word problemsdiscussionAdd fractional measurements in the context of preparing food, connecting to God's provision of manna in the wilderness.
Apply fraction addition to biblical contextsprojectSubtract fractions with like denominators using visual models and number lines.
Subtract fractions with like denominatorshands-onSubtract mixed numbers with like denominators, regrouping when necessary.
Subtract mixed numbers with regroupingworksheetSolve word problems requiring subtraction of fractions and mixed numbers with like denominators.
Solve fraction subtraction word problemsdiscussionPractice both addition and subtraction of fractions with like denominators, choosing the correct operation.
Choose and apply correct fraction operationsgameComplete a comprehensive review of fraction addition and subtraction through problem-solving activities.
Apply fraction operations fluentlyhands-onUnderstand multiplying a fraction by a whole number as repeated addition of that fraction.
Multiply fractions by whole numbers using modelshands-onMultiply whole numbers by fractions, understanding this as taking a fractional part of the whole number.
Multiply whole numbers by fractionsworksheetExplore how multiplying by fractions less than 1 makes products smaller, while fractions greater than 1 make products larger.
Understand multiplication as scalingdiscussionSolve real-world problems involving multiplication of fractions by whole numbers.
Solve fraction multiplication word problemsgameExplore multiplication of fractions in the context of the widow's offering, understanding that God values the heart behind the gift.
Apply fraction multiplication to biblical contextsprojectUnderstand that fractions with denominator 10 can be written as decimals with one decimal place.
Convert tenths to decimalshands-onConvert fractions with denominator 100 to decimals with two decimal places, using decimal grids.
Convert hundredths to decimalsworksheetGenerate equivalent fractions to convert between denominators of 10 and 100, then express as decimals.
Convert between tenths and hundredthshands-onCompare and order fractions and decimals together by converting to a common form.
Compare fractions and decimalsgameApply understanding of decimal fractions to measurement contexts, recognizing precision in God's design.
Apply decimal fractions to real-world contextsdiscussionMeasure objects to the nearest quarter or eighth inch, recording data accurately.
Measure to nearest 1/4 or 1/8 inchhands-onOrganize fractional measurement data by creating line plots with appropriate scales.
Make line plots with fractional dataworksheetAnalyze line plots to answer questions about the data, finding totals, differences, and making comparisons.
Interpret and analyze line plotsdiscussionUse information from line plots to solve problems involving addition and subtraction of fractions.
Solve problems using line plot datagameCollect measurement data from nature, create line plots, and reflect on God's variety and precision in creation.
Apply measurement and data skills to real-world contextsprojectUnderstand angles as geometric figures formed by two rays sharing a common endpoint, representing rotation.
Recognize angles as geometric shapeshands-onUnderstand angle measurement in degrees, recognizing that a full circle is 360 degrees.
Understand angle measurement conceptsdiscussionLearn to use a protractor to measure angles accurately, aligning the protractor correctly.
Measure angles with a protractorhands-onUse a protractor to draw angles of specified measurements, practicing precision and accuracy.
Draw angles using a protractorworksheetIdentify and measure angles in biblical architecture descriptions, appreciating God's precise design instructions.
Apply angle measurement to real-world contextsprojectUnderstand that the measure of an angle formed by two adjacent angles is the sum of the measures of the two angles.
Add angle measureshands-onDecompose angles into sums of smaller angles, solving for unknown angle measures.
Solve addition and subtraction problems with anglesworksheetClassify angles as acute (less than 90°), right (exactly 90°), obtuse (between 90° and 180°), or straight (180°).
Classify angles by measuregameExplore complementary angles (sum to 90°) and supplementary angles (sum to 180°).
Identify angle relationshipsdiscussionComprehensive review of concepts from weeks 1-18 through games, challenges, and problem-solving activities.
Apply all skills learned in first half of yearhands-onIdentify and draw points, lines, line segments, and rays, understanding the differences between them.
Draw and identify geometric elementsworksheetIdentify and draw parallel lines (never intersect) and perpendicular lines (intersect at right angles).
Identify parallel and perpendicular lineshands-onExplore angles formed when lines intersect, including vertical angles and their properties.
Analyze angles formed by intersecting linesdiscussionFind examples of points, lines, parallel lines, perpendicular lines, and angles in the environment.
Identify geometric elements in real worldgameConnect geometric concepts to biblical imagery of straight paths and God's righteous ways (Proverbs 3:6).
Apply geometric understanding to biblical metaphorsprojectClassify triangles as acute, right, or obtuse based on their angle measures.
Classify triangles by angle typeshands-onClassify triangles as equilateral, isosceles, or scalene based on side lengths.
Classify triangles by side lengthsworksheetIdentify properties of quadrilaterals including parallelograms, rectangles, squares, rhombuses, and trapezoids.
Classify quadrilaterals by propertieshands-onSort two-dimensional figures into categories based on multiple properties, using Venn diagrams.
Classify shapes using multiple attributesgameCreate artistic patterns using classified shapes, celebrating 100 days of learning and God's gift of mathematics.
Apply shape classification creativelyprojectUnderstand line symmetry as a line that divides a figure into two mirror-image halves.
Identify line-symmetric figureshands-onDraw all lines of symmetry for various two-dimensional figures, recognizing that some shapes have multiple lines.
Draw lines of symmetryworksheetComplete figures given half of the shape and a line of symmetry, using mirror image concepts.
Complete symmetric figureshands-onIdentify symmetry in natural objects (leaves, butterflies, flowers), recognizing God's design patterns.
Identify symmetry in real-world objectsgameCreate symmetric art representing elements of God's creation, appreciating His balanced and beautiful design.
Apply symmetry concepts creativelyprojectReview relationships between customary length units: inches, feet, yards, and miles.
Know relative sizes of customary length unitshands-onExplore metric length units: millimeters, centimeters, meters, and kilometers, understanding their relationships.
Know relative sizes of metric length unitsworksheetUnderstand relationships between customary weight units (ounces, pounds, tons) and metric mass units (grams, kilograms).
Know relative sizes of weight/mass unitsdiscussionExplore relationships between capacity units: cups, pints, quarts, gallons (customary) and milliliters, liters (metric).
Know relative sizes of capacity unitshands-onLearn about biblical measurement units (cubit, span, shekel) and convert them to modern equivalents.
Apply measurement understanding to biblical contextsprojectConvert between length units within the same system (e.g., feet to inches, meters to centimeters).
Convert length measurementsworksheetConvert between weight/mass units within the same system (e.g., pounds to ounces, kilograms to grams).
Convert weight/mass measurementshands-onConvert between capacity units within the same system (e.g., quarts to cups, liters to milliliters).
Convert capacity measurementsgameConvert between time units: seconds, minutes, hours, days, weeks, months, years.
Convert time measurementsworksheetSolve word problems requiring multiple conversions and operations with measurements.
Solve multi-step measurement problemsdiscussionReview finding perimeter by adding all side lengths, solving for unknown sides when perimeter is given.
Find perimeter of polygonshands-onFind area of rectangles using the formula A = l × w, understanding area as covering with unit squares.
Find area of rectanglesworksheetFind area of rectilinear figures by decomposing into rectangles and adding their areas.
Find area of complex rectilinear shapeshands-onSolve real-world problems involving perimeter and area, distinguishing between the two concepts.
Solve perimeter and area word problemsdiscussionCalculate perimeter and area of the tabernacle courtyard using biblical dimensions, appreciating God's detailed plans.
Apply perimeter and area to biblical contextsprojectRepresent money amounts using decimal notation, understanding dollars and cents as wholes and hundredths.
Write money amounts as decimalshands-onAdd and subtract money amounts, aligning decimal points and regrouping when necessary.
Add and subtract money amountsworksheetCalculate change from purchases, using subtraction and counting up strategies.
Calculate changegameSolve word problems involving multiple purchases, discounts, and change calculations.
Solve multi-step money problemsdiscussionCalculate tithes and offerings from income amounts, understanding biblical principles of giving and stewardship.
Apply money calculations to biblical stewardshipprojectRead and write time to the nearest minute on both analog and digital clocks.
Tell time to the nearest minutehands-onCalculate elapsed time by counting forward or using number lines, working across hours.
Find elapsed timeworksheetSolve problems finding start time, end time, or duration when given two of the three values.
Solve time interval problemsgameRead and interpret schedules, calculating arrival times, departure times, and durations.
Interpret schedules and solve time problemsdiscussionExplore biblical events with specific time references, reflecting on God's sovereignty over time (Ecclesiastes 3:1).
Apply time concepts to biblical contextsprojectCollect measurement data from real objects, recording to the nearest fractional unit.
Collect and record measurement datahands-onOrganize fractional data into line plots with appropriate scales and labels.
Make line plots with fractional measurementsworksheetInterpret line plots to answer questions about the data, including finding totals and differences.
Interpret line plotsdiscussionUse data from line plots to solve problems involving addition, subtraction, and multiplication of fractions.
Solve problems using line plot datagameCollect data about variety in creation (leaf sizes, seed lengths), create line plots, and reflect on God's diverse design.
Apply data skills to real-world investigationprojectExtend multiplication skills to multiply 3-digit by 2-digit numbers using the standard algorithm.
Multiply 3-digit by 2-digit numbersworksheetLearn mental math strategies for multiplying by 11, 25, 50, and 99, recognizing patterns.
Use mental math strategies for multiplicationhands-onEstimate products before multiplying and verify that answers are reasonable using estimation.
Estimate products and check reasonablenessgameSolve complex word problems requiring multiple multiplication steps and other operations.
Solve multi-step multiplication problemsdiscussionUse multiplication to calculate large numbers from Scripture (144,000 in Revelation, dimensions of New Jerusalem).
Apply multiplication to biblical calculationsprojectPractice dividing 4-digit and 5-digit numbers by 1-digit divisors using the standard algorithm.
Divide large numbers by 1-digit divisorsworksheetUnderstand how to interpret remainders in different contexts: rounding up, rounding down, or expressing as fractions.
Interpret remainders appropriatelydiscussionUse compatible numbers to estimate quotients before dividing, checking for reasonableness.
Estimate quotientshands-onSolve complex word problems involving division with remainders, determining appropriate interpretation.
Solve division word problemsgameExplore division in the context of dividing the Promised Land among the twelve tribes, understanding fairness and God's provision.
Apply division to biblical contextsprojectGenerate patterns following complex rules involving multiple operations (e.g., multiply by 2 then add 3).
Generate patterns with complex ruleshands-onAnalyze given number sequences to determine the pattern rule, expressing it verbally and symbolically.
Identify and express pattern rulesworksheetComplete function tables showing input-output relationships, using variables to represent the rule.
Work with function tablesdiscussionGraph ordered pairs from patterns on coordinate grids, observing linear relationships.
Graph pattern relationshipshands-onDiscover the Fibonacci sequence in nature (pinecones, sunflowers), marveling at God's mathematical design in creation.
Identify patterns in natureprojectReview multiple problem-solving strategies: draw diagrams, make tables, look for patterns, work backwards, guess and check.
Apply problem-solving strategiesdiscussionSolve challenging multi-step problems requiring all four operations and multiple strategies.
Solve complex multi-step problemshands-onWork through logic puzzles that require mathematical reasoning, organization, and systematic thinking.
Apply logical reasoning to problemsgameTackle authentic problems involving budgeting, planning, measurement, and calculations.
Apply mathematics to real-world situationsprojectReflect on Solomon's wisdom in problem-solving (1 Kings 3:16-28), connecting mathematical thinking to godly wisdom.
Connect problem-solving to biblical wisdomdiscussionUnderstand the coordinate plane with x-axis, y-axis, origin, and quadrant I, learning coordinate notation (x, y).
Understand coordinate plane structurehands-onPlot points on the coordinate plane given ordered pairs, understanding that order matters.
Plot points on coordinate planeworksheetIdentify coordinates of plotted points, practicing reading both x and y values accurately.
Read coordinates from plotted pointsgameCreate pictures by plotting and connecting points in sequence, following coordinate directions.
Plot multiple points to create figureshands-onConnect coordinate grids to real-world maps and navigation, appreciating how God enables us to explore His creation.
Apply coordinate concepts to real-world contextsprojectReview generating and recognizing equivalent fractions, simplifying to simplest form.
Work with equivalent fractionsgameReview strategies for comparing and ordering fractions with various denominators.
Compare and order fractionsworksheetPractice adding, subtracting, and multiplying fractions with like denominators and whole numbers.
Perform operations with fractionshands-onSolve a variety of word problems involving all fraction concepts learned this year.
Apply fraction skills to word problemsdiscussionComprehensive review of biblical applications of fractions: tithing, portions, measurements, and sharing.
Connect fractions to biblical contextsprojectReview measuring, drawing, classifying, and calculating with angles.
Apply angle conceptshands-onReview classifying two-dimensional figures by properties, including triangles and quadrilaterals.
Classify geometric figuresgameReview finding perimeter and area of rectangles and rectilinear figures.
Calculate perimeter and areaworksheetReview converting between measurement units within the same system for length, weight, capacity, and time.
Convert measurement unitshands-onReview geometric and measurement concepts through biblical architecture: tabernacle, temple, and New Jerusalem.
Apply geometry and measurement to biblical contextsprojectReview adding and subtracting multi-digit numbers fluently using the standard algorithm.
Add and subtract multi-digit numbersworksheetReview multiplying up to 4-digit by 1-digit and two 2-digit numbers using various strategies.
Multiply multi-digit numbersgameReview dividing up to 4-digit numbers by 1-digit divisors with remainders, interpreting appropriately.
Divide multi-digit numbershands-onReview finding factors and multiples, identifying prime and composite numbers, and generating patterns.
Work with factors, multiples, and patternsdiscussionCompete in friendly challenges involving all operations, celebrating growth and God's gift of mathematical thinking.
Apply all operations fluentlygameReview highlights from the entire year, revisiting favorite activities and most challenging concepts mastered.
Reflect on year-long learningdiscussionCreate a showcase project demonstrating how mathematics reveals God's order, beauty, and design in creation.
Synthesize year-long learningprojectWork through engaging, challenging problems that integrate multiple concepts from the year.
Apply integrated mathematical knowledgehands-onEnjoy favorite math games from throughout the year, celebrating learning through play.
Apply skills in game contextsgameReflect on growth throughout the year, thank God for the gift of mathematics, and look forward to Grade 5.
Reflect on learning and growthdiscussionStart with Day 1 and work through at your own pace. Each lesson builds on the last!