A comprehensive fifth-grade mathematics curriculum that develops mastery in operations with whole numbers, fractions, and decimals; explores algebraic thinking and expressions; investigates measurement concepts including volume; and strengthens geometric reasoning. Students will see God's orderly design in mathematical patterns and apply their skills to real-world problems, building confidence as problem-solvers who use their God-given abilities to explore His creation.
Master all operations with whole numbers, fractions, and decimals with fluency and understanding
Develop algebraic thinking through expressions, equations, and coordinate graphing
Apply measurement concepts including volume, unit conversions, and coordinate planes to solve real-world problems
Strengthen geometric reasoning and classification skills while recognizing God's design in mathematical patterns
Build problem-solving confidence and perseverance, using mathematical thinking as a tool for exploring God's creation
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Explore place value positions from ones through millions, understanding how each position represents a power of 10. Connect to God's vast creation—stars, grains of sand, and His infinite attention to detail.
Identify place value positions through millionshands-onPractice reading and writing multi-digit numbers in standard, word, and expanded form. Examine large numbers in Scripture like census counts and dimensions.
Read and write numbers to 1,000,000 in multiple formspracticeCompare multi-digit numbers using greater than, less than, and equal to symbols. Discuss how God knows every number precisely—nothing is too large for Him.
Compare multi-digit whole numbersgameRound whole numbers to any place value, understanding when and why we estimate. Apply rounding to real-world situations like biblical crowd estimates.
Round multi-digit numbers to any placeproblem-solvingApply all place value skills through games, puzzles, and challenges. Reflect on how mathematical order reveals God's nature as a God of order, not confusion.
Apply place value concepts in varied contextsreview-gameReview and expand multiplication strategies including the standard algorithm, area models, and partial products. Discuss multiplication as repeated addition reflecting God's abundance.
Use multiple strategies for multi-digit multiplicationhands-onMaster multiplying two 2-digit numbers using the standard algorithm and area models. Apply to real-world scenarios like calculating areas of garden plots.
Multiply two 2-digit numberspracticeExtend skills to multiply 3-digit by 2-digit numbers. Explore biblical applications like calculating provisions for large groups or temple measurements.
Multiply 3-digit by 2-digit numbersproblem-solvingBuild stamina and accuracy with 4-digit by 1-digit and 4-digit by 2-digit multiplication. Emphasize careful work as honoring God with our efforts.
Multiply 4-digit by 1-digit and 2-digit numberspracticeSolve multi-step word problems requiring multiplication. Connect to stewardship—multiplying talents and resources God has given us.
Apply multiplication to solve real-world problemsproblem-solvingReview division concepts and strategies, including the relationship between multiplication and division. Discuss fair division as reflecting God's justice.
Understand division as inverse of multiplicationhands-onPractice dividing 3-digit and 4-digit numbers by 1-digit divisors using long division. Apply to scenarios like dividing resources equally among groups.
Divide multi-digit numbers by 1-digit divisorspracticeUnderstand and interpret remainders in division problems. Explore what to do with remainders in different contexts—round up, round down, or express as fractions.
Interpret remainders appropriatelyproblem-solvingExtend division skills to 2-digit divisors. Emphasize estimation to determine the first digit of the quotient. Connect to wisdom in planning and calculating.
Divide by 2-digit divisorspracticeSolve complex word problems involving division, including multi-step problems. Relate to biblical examples of fair distribution like manna or disciples' ministry assignments.
Apply division to real-world contextsproblem-solvingUnderstand decimals as another way to represent fractions with denominators of 10, 100, and 1000. Explore tenths and hundredths using visual models.
Understand decimal place value to hundredthshands-onExtend decimal understanding to thousandths. Read, write, and represent decimals to thousandths using place value charts and number lines.
Understand decimal place value to thousandthspracticeCompare and order decimals to thousandths using place value understanding. Apply to real measurements and emphasize precision as reflecting God's attention to detail.
Compare and order decimals to thousandthsgameDiscover patterns when multiplying and dividing by powers of 10. Understand how the decimal point moves and why. Connect to the orderly patterns in God's creation.
Multiply and divide by powers of 10hands-onRound decimals to any place value. Discuss when precision matters (like in construction or medicine) and when estimation is appropriate.
Round decimals to any placeproblem-solvingLearn to add decimals by aligning place values. Use visual models to understand why we line up decimal points. Connect to adding measurements in real life.
Add decimals to hundredthshands-onPractice subtracting decimals, including those with different numbers of decimal places. Emphasize careful alignment and regrouping when necessary.
Subtract decimals to hundredthspracticeApply decimal addition and subtraction to money problems. Discuss stewardship, budgeting, and using resources wisely as God's managers.
Add and subtract decimals in money contextsproblem-solvingAdd and subtract decimal measurements (meters, liters, kilograms). Explore metric system relationships and biblical measurements converted to modern units.
Add and subtract decimal measurementshands-onSolve multi-step problems involving decimal addition and subtraction. Reflect on using math skills to solve real problems as part of stewarding God's creation.
Apply decimal addition and subtraction in complex problemsproblem-solvingLearn to multiply decimals by whole numbers using place value understanding. Connect to real scenarios like finding the cost of multiple items.
Multiply decimals by whole numbershands-onDiscover the pattern for placing the decimal point in products. Understand that the number of decimal places in the factors determines the product's decimal places.
Place decimal points correctly in productspracticeMultiply decimals by decimals using the standard algorithm. Use area models to visualize why the algorithm works. Apply to finding areas with decimal dimensions.
Multiply decimals by decimalshands-onPractice estimating products before calculating to check reasonableness. Discuss wisdom in planning and the importance of checking our work carefully.
Estimate decimal products and verify solutionsproblem-solvingSolve word problems involving decimal multiplication in contexts like shopping, cooking, and construction. Emphasize precision in measurement as honoring God's design.
Apply decimal multiplication to real-world problemsproblem-solvingLearn to divide decimals by whole numbers, keeping the decimal point aligned in the quotient. Apply to sharing or partitioning decimal quantities.
Divide decimals by whole numbershands-onUnderstand that dividing whole numbers can result in decimal quotients. Add zeros and continue dividing to express exact answers or round appropriately.
Divide whole numbers resulting in decimal quotientspracticeLearn to divide by decimals by converting to equivalent division problems with whole number divisors. Understand why we multiply both dividend and divisor by powers of 10.
Divide by decimal divisorshands-onBuild fluency with all types of decimal division through varied practice. Emphasize careful work and checking answers for reasonableness.
Divide decimals fluentlypracticeSolve real-world problems requiring decimal division, including unit rates and averages. Connect to fair distribution and wise resource management.
Apply decimal division to solve problemsproblem-solvingUnderstand numerical expressions as mathematical phrases combining numbers and operations. Distinguish between expressions and equations.
Identify and write numerical expressionshands-onLearn how parentheses group parts of expressions to show which operations to perform first. Explore how grouping changes the value of expressions.
Use and evaluate expressions with parenthesespracticeLearn the order of operations (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). Connect mathematical order to God's orderly design.
Apply order of operations to evaluate expressionshands-onExtend understanding to expressions with brackets [ ] and braces { }. Evaluate complex nested expressions from the inside out.
Evaluate expressions with multiple grouping symbolspracticeWrite numerical expressions from word problems and real-world situations. Translate between words and mathematical symbols to represent situations accurately.
Write and interpret numerical expressionsproblem-solvingReview fractions as parts of a whole and as numbers on the number line. Discuss how fractions represent fair division, reflecting God's justice.
Represent fractions using multiple modelshands-onGenerate equivalent fractions by multiplying or dividing numerator and denominator by the same number. Use visual models to prove equivalence.
Generate and identify equivalent fractionshands-onLearn to simplify fractions to lowest terms by finding the greatest common factor. Understand simplification as finding the simplest name for a fraction.
Simplify fractions to lowest termspracticeCompare fractions with different denominators using common denominators, benchmarks, or reasoning. Apply to real situations like comparing portions.
Compare fractions with unlike denominatorsproblem-solvingPlace fractions precisely on number lines, including improper fractions and mixed numbers. Understand fractions as quantities between whole numbers.
Locate fractions on number lineshands-onUnderstand that fractions must have the same denominator to be added directly. Use visual models to show why we can't add unlike fractions without converting.
Understand the need for common denominatorshands-onLearn strategies for finding common denominators, including finding the least common multiple. Practice converting fractions to equivalent fractions with common denominators.
Find common denominators for fraction pairspracticeMaster the process of adding fractions with unlike denominators: find common denominator, convert fractions, add numerators, simplify if needed.
Add fractions with unlike denominatorspracticeExtend addition skills to mixed numbers with unlike denominators. Learn when to convert to improper fractions versus adding whole and fractional parts separately.
Add mixed numbers with unlike denominatorsproblem-solvingSolve word problems requiring addition of fractions with unlike denominators. Apply to cooking, construction, and other real contexts where combining parts is needed.
Apply fraction addition to real-world problemsproblem-solvingReview subtracting fractions with like denominators as preparation for unlike denominators. Emphasize that we subtract numerators while denominators stay the same.
Subtract fractions with like denominatorspracticeApply the same common denominator process to subtraction. Find common denominators, convert, subtract numerators, and simplify.
Subtract fractions with unlike denominatorspracticeLearn to regroup (borrow) when subtracting mixed numbers where the fraction being subtracted is larger than the starting fraction. Convert one whole to a fraction.
Subtract mixed numbers with regroupinghands-onPractice subtracting mixed numbers with unlike denominators, including problems requiring regrouping. Build confidence through varied practice.
Subtract mixed numbers with unlike denominatorspracticeSolve real-world problems involving fraction subtraction. Apply to measuring, comparing quantities, and finding differences in fractional amounts.
Apply fraction subtraction to solve problemsproblem-solvingUnderstand that a fraction represents division: 3/4 means 3 ÷ 4. Explore this relationship and how it connects to multiplication.
Interpret fractions as divisionhands-onLearn to multiply fractions by whole numbers using repeated addition and the algorithm. Apply to problems like finding multiple groups of a fractional amount.
Multiply fractions by whole numberspracticeDiscover how to multiply a fraction by a fraction using area models and the algorithm (multiply numerators, multiply denominators). Understand as finding a part of a part.
Multiply fractions by fractionshands-onLearn to multiply mixed numbers by converting to improper fractions first, then multiplying. Practice with problems involving whole numbers, fractions, and mixed numbers.
Multiply mixed numberspracticeUnderstand multiplication as scaling—making quantities larger or smaller. Explore how multiplying by fractions less than 1 makes products smaller, reflecting proportional reasoning.
Interpret multiplication as scalingproblem-solvingExplore what it means to divide by a fraction using visual models. Understand division as asking 'how many groups?' or 'how much in each group?'
Understand division with fractions conceptuallyhands-onLearn to divide unit fractions (like 1/3) by whole numbers. Use models to see that dividing a fraction makes smaller pieces.
Divide unit fractions by whole numbershands-onDiscover how to divide whole numbers by unit fractions. Understand that dividing by 1/2 is the same as asking 'how many halves are in this number?'
Divide whole numbers by unit fractionspracticeRecognize patterns in fraction division and begin to see the relationship between dividing by a fraction and multiplying by its reciprocal (foundation for future learning).
Identify patterns in fraction divisionhands-onSolve word problems involving division of unit fractions and whole numbers. Apply to real contexts like sharing or partitioning fractional amounts.
Apply fraction division to solve problemsproblem-solvingUnderstand that fractions and decimals are two different ways to represent the same quantities. Explore common equivalents like 1/2 = 0.5.
Recognize fraction-decimal equivalencehands-onLearn to convert fractions to decimals by dividing the numerator by the denominator. Practice with fractions that convert to terminating decimals.
Convert fractions to decimalspracticeLearn to convert decimals to fractions by using place value (tenths, hundredths, thousandths). Simplify the resulting fractions to lowest terms.
Convert decimals to fractionspracticeCompare and order mixed sets of fractions and decimals by converting to a common form. Apply to real-world situations requiring comparison of different representations.
Compare fractions and decimalsproblem-solvingExplore when fractions versus decimals are used in real life (money, measurements, statistics). Solve problems requiring flexibility with both forms.
Apply fractions and decimals appropriatelyproblem-solvingUnderstand volume as the amount of space inside a three-dimensional object. Distinguish volume from area and perimeter. Connect to God's design in three dimensions.
Understand volume conceptuallyhands-onMeasure volume by counting unit cubes that fill a rectangular prism. Build prisms with given volumes and discover multiple shapes with the same volume.
Measure volume by counting unit cubeshands-onUnderstand volume as layers of area. Recognize that volume equals the area of the base times the height (number of layers).
Calculate volume using layershands-onLearn and apply the formula for volume of rectangular prisms: Volume = length × width × height. Practice finding volume using measurements.
Calculate volume using V = l × w × hpracticeUnderstand the alternative volume formula where B represents the area of the base. Recognize this works for any prism when base area is known.
Calculate volume using V = B × hproblem-solvingUse volume formulas to find missing dimensions when volume and other measurements are known. Apply algebraic thinking to solve for unknowns.
Find missing dimensions using volume formulasproblem-solvingFind volume of shapes made from multiple rectangular prisms by decomposing into simpler shapes, finding each volume, and adding.
Calculate volume of composite figureshands-onSolve real-world problems involving volume: packing boxes, filling containers, calculating capacity. Connect to stewardship of space and resources.
Apply volume concepts to real-world problemsproblem-solvingCalculate volumes from biblical descriptions: Noah's ark, Solomon's temple, storage buildings. Marvel at the scale of God's instructions and human obedience.
Apply volume calculations to historical contextsprojectApply all volume concepts through challenging problems, puzzles, and design challenges. Reflect on three-dimensional thinking as exploring God's creation.
Apply volume concepts in varied contextsreview-gameLearn relationships between inches, feet, yards, and miles. Practice converting between units using multiplication and division.
Convert customary length unitspracticeUnderstand relationships between ounces, pounds, and tons. Convert between weight units and apply to real scenarios.
Convert customary weight unitspracticeLearn relationships between fluid ounces, cups, pints, quarts, and gallons. Practice conversions and apply to cooking and measurement contexts.
Convert customary capacity unitshands-onSolve problems requiring multiple conversions (like feet to inches to yards). Develop flexibility in moving between units.
Perform multi-step customary conversionsproblem-solvingApply conversion skills to solve real-world problems involving customary measurements. Discuss the importance of accurate measurement.
Apply customary conversions to solve problemsproblem-solvingLearn the metric system structure based on powers of 10. Understand prefixes (kilo-, centi-, milli-) and how they relate to base units.
Understand metric system structurehands-onConvert between millimeters, centimeters, meters, and kilometers. Use the power of 10 pattern to move decimal points correctly.
Convert metric length unitspracticeLearn relationships between milligrams, grams, and kilograms. Practice conversions and compare to customary weight units.
Convert metric mass unitspracticeConvert between milliliters, liters, and kiloliters. Apply to real contexts like beverage containers and fuel measurement.
Convert metric capacity unitshands-onExplore how the metric system is used in science and most of the world. Solve problems requiring metric conversions in scientific contexts.
Apply metric conversions to solve problemsproblem-solvingLearn to create and read line plots. Understand how line plots show frequency of data values along a number line.
Create and interpret basic line plotshands-onCreate line plots displaying measurement data with fractions (halves, fourths, eighths). Collect real measurement data to plot.
Create line plots with fractional measurementshands-onAnswer questions about data displayed in line plots: find mode, range, total, and average. Interpret what the data shows.
Analyze and interpret line plot dataproblem-solvingSolve problems requiring operations with fractional data from line plots. Add, subtract, and find differences between data points.
Perform operations with line plot dataproblem-solvingDesign and conduct a measurement study, collect data, create a line plot, and analyze results. Present findings to others.
Conduct data study and present resultsprojectLearn the parts of a coordinate plane: x-axis, y-axis, origin, and quadrants. Understand how it extends number lines in two dimensions.
Identify parts of the coordinate planehands-onLearn to plot points using ordered pairs (x, y). Understand that the first number tells how far to move horizontally, the second vertically.
Plot points using ordered pairspracticePractice identifying the coordinates of plotted points. Play coordinate games like battleship to build fluency.
Identify coordinates of plotted pointsgamePlot points that form patterns or shapes. Discover how coordinates relate to each other in patterns. Connect to God's order in creation.
Identify patterns in coordinate pointshands-onCreate pictures or designs by plotting points and connecting them. Experience the coordinate plane as a tool for precision and creativity.
Use coordinates to create designsprojectSolve problems by graphing points that represent real situations: distances, temperatures, growth over time. Interpret what the points mean.
Graph real-world data on coordinate planeproblem-solvingGenerate two related number patterns using given rules. Create ordered pairs from corresponding terms and graph them.
Generate patterns and graph ordered pairshands-onAnalyze relationships between two patterns by examining their graph. Identify how one quantity changes in relation to another.
Analyze relationships between patternsproblem-solvingFind distances between points on the coordinate plane when they share an x- or y-coordinate. Apply to map reading and navigation.
Calculate distances on coordinate planepracticeApply all coordinate plane skills through treasure hunts, map activities, and problem-solving challenges. Reflect on navigation as a gift from God.
Apply coordinate plane concepts comprehensivelyreview-gameReview properties of polygons: sides, angles, vertices. Classify polygons by number of sides and identify regular versus irregular polygons.
Identify and classify polygons by propertieshands-onExplore the family of quadrilaterals: trapezoids, parallelograms, rectangles, rhombuses, and squares. Understand how they relate to each other.
Classify quadrilaterals based on propertieshands-onUnderstand that shapes can belong to multiple categories (a square is also a rectangle, rhombus, parallelogram, and quadrilateral). Create classification diagrams.
Classify shapes hierarchicallyproblem-solvingClassify triangles by angles (acute, right, obtuse) and by sides (scalene, isosceles, equilateral). Understand multiple classification systems.
Classify triangles by angles and sidespracticeUse Venn diagrams to show relationships between shape categories. Sort shapes by multiple attributes simultaneously. Appreciate order in classification.
Use Venn diagrams to classify shapeshands-onIdentify symmetry in nature: butterflies, flowers, leaves, animals. Discuss how symmetry reflects God's design and beauty in creation.
Identify symmetry in natural objectshands-onExplore geometric patterns in nature: spirals in shells, hexagons in honeycombs, fractals in ferns. Marvel at mathematical design in creation.
Identify geometric patterns in natureprojectStudy geometric designs in the tabernacle, temple, and other biblical structures. Calculate dimensions and explore symbolic meanings.
Apply geometry to biblical architectureproblem-solvingCreate geometric designs that reflect themes of faith, order, and beauty. Use geometric tools to construct precise patterns.
Create geometric designsprojectPresent and explain geometric designs and discoveries. Discuss how studying geometry helps us appreciate God's creativity and order.
Communicate geometric understandingpresentationReview and practice multi-digit multiplication and division. Work through challenging problems and identify areas needing more practice.
Demonstrate fluency with whole number operationsreviewReview adding, subtracting, multiplying, and dividing fractions. Practice choosing appropriate operations for word problems.
Demonstrate proficiency with fraction operationsreviewReview all decimal operations. Solve real-world problems requiring decimal calculations. Check work for accuracy and reasonableness.
Demonstrate proficiency with decimal operationsreviewSolve complex problems requiring multiple operations with whole numbers, fractions, and decimals. Apply order of operations and strategic thinking.
Apply all operations to solve complex problemsproblem-solvingDemonstrate understanding of all operations through formal assessment. Reflect on growth and areas for continued development.
Demonstrate comprehensive operations masteryassessmentIntroduce ratios as comparisons between two quantities. Use concrete examples like mixing colors or recipes to explore ratio relationships.
Understand ratios as comparisonshands-onExplore equivalent ratios using visual models and tables. Connect to equivalent fractions and multiplication patterns.
Identify equivalent ratioshands-onApply ratio thinking to doubling or halving recipes. Calculate ingredient amounts while maintaining proportions.
Apply ratios to real-world contextsproblem-solvingExplore scale drawings and models. Understand how ratios maintain proportions when objects are enlarged or reduced.
Understand scale and proportionhands-onExamine proportions in nature and the human body. Discuss how God designed creation with perfect proportions and balance.
Recognize proportions in natural designprojectUnderstand percent as 'per hundred' or parts out of 100. Connect to fractions with denominator of 100 and decimal hundredths.
Understand percent as parts of 100hands-onLearn common fraction-decimal-percent equivalents: 50%=1/2=0.5, 25%=1/4=0.25, etc. Create reference charts for future use.
Identify common percent equivalentspracticeLearn to find simple percentages of quantities using fraction equivalents (50%, 25%, 10%). Apply to real situations like discounts.
Calculate simple percentagesproblem-solvingIdentify percentages in daily life: discounts, sales tax, test scores, statistics. Discuss honest representation of data.
Recognize percentages in real contextshands-onExplore the concept of tithing as giving 10% back to God. Calculate tithes from various amounts and discuss faithful stewardship.
Calculate 10% and apply to stewardshipproblem-solvingReview problem-solving strategies: draw a picture, make a table, find a pattern, work backward, guess and check. Discuss when each is useful.
Identify appropriate problem-solving strategiesdiscussionSolve complex problems requiring multiple steps and operations. Break problems into manageable parts and check reasonableness of answers.
Solve multi-step problems systematicallyproblem-solvingIdentify and ignore irrelevant information in word problems. Determine what information is needed to solve each problem.
Identify relevant information in problemsproblem-solvingWrite original word problems for classmates to solve. Learn to include all necessary information and create clear questions.
Create well-formulated word problemsprojectTackle challenging problems requiring persistence and multiple attempts. Discuss how perseverance in math reflects perseverance in faith.
Demonstrate perseverance in problem solvingproblem-solvingPractice explaining mathematical reasoning clearly. Use words, numbers, and pictures to show why answers make sense.
Communicate mathematical reasoningdiscussionInvestigate mathematical statements to determine if they're always true, sometimes true, or never true. Test conjectures with examples.
Evaluate mathematical statementshands-onAnalyze problems with errors and explain what went wrong. Practice giving constructive feedback and correcting mistakes.
Identify and correct mathematical errorsproblem-solvingSolve problems using different methods and compare approaches. Appreciate that there are often multiple valid ways to solve problems.
Use and compare multiple solution strategieshands-onEngage in structured debates about mathematical concepts. Construct arguments, listen to others, and revise thinking based on evidence.
Construct and critique mathematical argumentsdiscussionExplore the four purposes of money. Create a simple budget dividing income between saving, spending, and giving to God and others.
Understand basic budgeting principleshands-onCalculate total costs including sales tax. Understand that the price tag isn't always the final cost. Practice mental math with money.
Calculate total costs with taxproblem-solvingPractice making change and checking receipts for accuracy. Discuss honesty in financial transactions as reflecting God's character.
Make change and verify calculationspracticeCompare prices of different quantities to find better values. Calculate unit rates to make wise purchasing decisions.
Compare prices and calculate unit ratesproblem-solvingSet savings goals and calculate how long it will take to reach them. Discuss delayed gratification and wise stewardship of resources.
Plan and calculate toward financial goalsprojectExplore why accurate measurement matters in cooking, construction, medicine, and science. Practice measuring carefully with appropriate tools.
Measure accurately for real purposeshands-onDesign a garden plot using area and perimeter calculations. Determine how much fencing, soil, and plants are needed.
Apply area and perimeter to planningprojectCalculate materials needed for a simple building project (birdhouse, bookshelf, etc.). Convert between measurement units as needed.
Calculate materials using measurementsproblem-solvingFollow a recipe requiring measurement conversions and fraction operations. Double or halve recipes using proportional thinking.
Apply fractions to cooking measurementshands-onFind and measure various objects, recording measurements in different units. Calculate perimeters, areas, and volumes of real objects.
Apply measurement skills to real objectsgameIdentify rules for number patterns and extend sequences. Write rules using words and eventually algebraic expressions.
Identify and extend number patternspracticeExplore patterns that grow by adding or multiplying. Predict future terms and find patterns in the pattern of growth.
Analyze growing patternshands-onIdentify mathematical patterns in creation and biblical texts. Discuss how patterns reveal God's orderly design and faithfulness.
Recognize patterns in various contextsdiscussionComplete function tables showing relationships between input and output. Identify the rule connecting the numbers.
Complete and analyze function tablespracticeCreate original patterns for others to solve. Design patterns with clear rules but interesting complexity.
Create and analyze original patternsprojectLearn to write clear survey questions that gather useful data. Discuss bias and fairness in data collection.
Design effective surveyshands-onConduct a class survey and organize results in tables. Practice tallying and creating frequency tables.
Collect and organize data systematicallyhands-onCalculate measures of central tendency and range. Understand what each measure tells us about a data set.
Calculate and interpret mean, median, mode, rangepracticeLearn when to use different graph types: bar graphs, line plots, line graphs, circle graphs. Create multiple representations of the same data.
Select and create appropriate graphshands-onComplete a full data analysis project: ask a question, collect data, analyze, and present findings. Draw conclusions supported by data.
Complete comprehensive data analysisprojectExplore the deep connections between fractions, decimals, and percents. Convert flexibly between representations.
Connect fraction, decimal, and percent representationshands-onUnderstand multiplication as calculating area. Use area models to visualize multiplication of whole numbers, fractions, and decimals.
Connect multiplication to area conceptshands-onExplore the connection between division and fractions. Understand that every fraction represents a division problem.
Connect division and fraction conceptsproblem-solvingDiscover patterns in multiplication tables, powers of 10, and operation properties. See how patterns make calculations easier.
Identify and use operational patternshands-onCreate a concept map showing how all fifth-grade math topics connect. Reflect on growth and the beauty of mathematical connections.
Synthesize mathematical understandingprojectUse math to plan a class party: budget, shopping list, quantities needed, and timeline. Apply multiple skills to one authentic project.
Apply multiple math skills to planningprojectCalculate and analyze sports statistics: batting averages, shooting percentages, race times. Understand how math informs athletic performance.
Calculate and interpret sports statisticsproblem-solvingPlan a trip using maps, distances, time calculations, and budgets. Calculate fuel costs, travel time, and expenses.
Apply math to travel planningproblem-solvingDesign and conduct a simple experiment requiring measurement, data collection, and analysis. Present findings with graphs and statistics.
Apply math in scientific investigationprojectCalculate the impact of community service: meals served, items collected, hours volunteered. Discuss using math skills to serve others.
Apply math to service contextsproblem-solvingRotate through stations reviewing whole number, fraction, and decimal operations. Identify areas of strength and areas needing more practice.
Review all operationsreviewReview measurement conversions, volume, coordinate plane, and geometry. Solve mixed problems requiring multiple concepts.
Review measurement and geometryreviewReview order of operations, expressions, patterns, and problem-solving strategies. Practice choosing appropriate strategies.
Review algebraic thinking and problem solvingreviewPlay review games covering all fifth-grade topics. Compete individually or in teams while reinforcing skills in a fun context.
Apply all fifth-grade skills in game contextsreview-gameComplete comprehensive review problems. Reflect on growth throughout the year and how math skills help us understand God's world.
Demonstrate comprehensive fifth-grade masteryreviewDemonstrate mastery of operations with whole numbers, fractions, and decimals. Show growth and understanding through formal assessment.
Demonstrate operations masteryassessmentDemonstrate understanding of measurement, geometry, algebraic thinking, and problem solving through final assessment.
Demonstrate comprehensive mathematical understandingassessmentCreate a portfolio showcasing favorite work and biggest growth areas. Share mathematical journey with others.
Reflect on and communicate mathematical growthprojectPreview sixth-grade math topics: ratios, rates, negative numbers, and more. Discuss how fifth-grade skills provide a foundation.
Connect fifth-grade learning to future conceptsdiscussionReflect on how studying mathematics helps us know God better. Celebrate the order, beauty, and precision of God's design revealed through math.
Integrate mathematical understanding with faithreflectionStart with Day 1 and work through at your own pace. Each lesson builds on the last!