[ai_lms_paneli ders=”math” dil=”English”]
{
“kurs_adi”: “5th Grade Math”,
“kurs_ozeti”: “”,
“seviye_talimati”: “Content, summaries, and explanations must strictly align with the US Common Core State Standards for 5th Grade Mathematics and child psychology. Sentences should be short, engaging, concrete, and highly encouraging. Do NOT use overly complex abstract definitions or advanced algebra. Explanations and word problems must use relatable, real-life examples suitable for 10-11 year olds.”,
“kategoriler”: [
{
“baslik”: “Unit 1: Number and Operations in Base Ten”,
“konular”: [
{
“baslik”: “Place Value and Powers of 10”,
“alt_konular”: [
{
“baslik”: “Understanding Powers of 10”,
“taglar”: [
“Use the shifting the decimal point magic trick”,
“Space travel metaphor: moving planets 10, 100, or 1000 times further away”,
“Explain patterns of zeros when multiplying”
]
},
{
“baslik”: “Reading, Writing, and Comparing Decimals”,
“taglar”: [
“Olympics racing times example for thousandths”,
“Money and cents connection for tenths and hundredths”,
“Hungry alligator metaphor for comparing decimals”
]
},
{
“baslik”: “Rounding Decimals”,
“taglar”: [
“Rollercoaster hill metaphor for rounding up or down”,
“Estimating a grocery store receipt”,
“Catchy rhymes for rounding rules”
]
}
]
}
]
},
{
“baslik”: “Unit 2: Whole Number Operations and Volume”,
“konular”: [
{
“baslik”: “Multi-Digit Multiplication and Division”,
“alt_konular”: [
{
“baslik”: “Multiplying Multi-Digit Whole Numbers”,
“taglar”: [
“Step-by-step standard algorithm with color coding”,
“Calculating the total number of seats in a massive sports stadium”,
“Breaking apart numbers using an area model as a visual aid”
]
},
{
“baslik”: “Dividing with 2-Digit Divisors”,
“taglar”: [
“Sharing a giant treasure chest of gold coins among a pirate crew”,
“Using friendly numbers and estimation to guess the quotient”,
“Family members metaphor for Long Division steps”
]
}
]
},
{
“baslik”: “Understanding Volume”,
“alt_konular”: [
{
“baslik”: “Cubic Units and Measuring Volume”,
“taglar”: [
“Building with Minecraft blocks or sugar cubes”,
“Packing boxes in a toy factory”,
“Difference between 2D flat shapes and 3D solid shapes”
]
},
{
“baslik”: “Volume Formulas”,
“taglar”: [
“Filling an aquarium or a swimming pool with water”,
“Layer-by-layer cake metaphor for base area times height”,
“Visualizing dimensions: Length, Width, Height”
]
}
]
}
]
},
{
“baslik”: “Unit 3: Operations with Decimals”,
“konular”: [
{
“baslik”: “Adding and Subtracting Decimals”,
“alt_konular”: [
{
“baslik”: “Adding and Subtracting Decimals”,
“taglar”: [
“Lining up the decimal points like buttons on a shirt”,
“Filling empty spots with ghost zeros”,
“Buying lunch at the school cafeteria and calculating exact change”
]
}
]
},
{
“baslik”: “Multiplying and Dividing Decimals”,
“alt_konular”: [
{
“baslik”: “Multiplying Decimals”,
“taglar”: [
“Ignore the decimal first, multiply normally, then count the jumps back”,
“Calculating the total cost of apples at the market”
]
},
{
“baslik”: “Dividing Decimals”,
“taglar”: [
“Making the divisor a whole number by jumping the decimal point”,
“Splitting a restaurant bill evenly among friends with exact change”
]
}
]
}
]
},
{
“baslik”: “Unit 4: Fractions – Addition and Subtraction”,
“konular”: [
{
“baslik”: “Adding and Subtracting with Unlike Denominators”,
“alt_konular”: [
{
“baslik”: “Finding Common Denominators”,
“taglar”: [
“Finding a common language so fractions can talk to each other”,
“Slicing different sized pizzas into equal pieces”,
“Creating equivalent fractions using colorful charts”
]
},
{
“baslik”: “Adding and Subtracting Mixed Numbers”,
“taglar”: [
“Baking a giant cake and combining cups of flour”,
“Borrowing from the whole number: cutting a whole pizza into slices to subtract”
]
},
{
“baslik”: “Fraction Word Problems”,
“taglar”: [
“Solving mysteries using clue words like total or difference”,
“Drawing visual tape diagrams or bar models”
]
}
]
}
]
},
{
“baslik”: “Unit 5: Fractions – Multiplication and Division”,
“konular”: [
{
“baslik”: “Multiplying Fractions”,
“alt_konular”: [
{
“baslik”: “Multiplying Fractions by Fractions”,
“taglar”: [
“Taking a part of a part metaphor”,
“Using a pan of brownies to shade overlapping rows and columns”,
“Multiply straight across: top with top, bottom with bottom”
]
},
{
“baslik”: “Multiplying Mixed Numbers”,
“taglar”: [
“Turning into improper fractions first”,
“Calculating the area of a rectangular garden with fractional side lengths”
]
}
]
},
{
“baslik”: “Dividing Fractions”,
“alt_konular”: [
{
“baslik”: “Dividing Whole Numbers by Unit Fractions”,
“taglar”: [
“Cutting whole submarine sandwiches into quarter size pieces”,
“Visualizing how many halves fit into a whole number”
]
},
{
“baslik”: “Dividing Unit Fractions by Whole Numbers”,
“taglar”: [
“Sharing a leftover chocolate bar equally among friends”,
“Keep, Change, Flip rule”
]
}
]
}
]
},
{
“baslik”: “Unit 6: Geometry and the Coordinate Plane”,
“konular”: [
{
“baslik”: “The Coordinate Plane”,
“alt_konular”: [
{
“baslik”: “Graphing Points in the First Quadrant”,
“taglar”: [
“The golden rule: Crawl on the x-axis before you walk up the stairs on the y-axis”,
“Playing a game of Battleship”,
“Finding hidden pirate treasure on a map using coordinates”
]
},
{
“baslik”: “Real-World Graphing”,
“taglar”: [
“Tracking the growth of a plant over several weeks”,
“Connecting dots to reveal a secret picture”
]
}
]
},
{
“baslik”: “Classifying 2D Figures”,
“alt_konular”: [
{
“baslik”: “Hierarchy of Quadrilaterals”,
“taglar”: [
“Shape family tree: A square is a special rectangle”,
“Using flowcharts and Venn diagrams”,
“Sorting shapes based on parallel lines and right angles”
]
}
]
}
]
},
{
“baslik”: “Unit 7: Measurement and Data”,
“konular”: [
{
“baslik”: “Converting Measurements”,
“alt_konular”: [
{
“baslik”: “Converting Standard Customary Units”,
“taglar”: [
“Gallon Man story for capacity”,
“Converting inches to feet for building a treehouse”,
“Rule: Big to small multiply, small to big divide”
]
},
{
“baslik”: “Converting Metric Units”,
“taglar”: [
“The Metric Staircase metaphor”,
“Jumping the decimal point to convert meters to centimeters”,
“Weighing animals at the zoo from grams to kilograms”
]
}
]
},
{
“baslik”: “Representing Data”,
“alt_konular”: [
{
“baslik”: “Line Plots with Fractions”,
“taglar”: [
“Measuring the lengths of different leaves collected in the yard”,
“Stacking X marks to find the most common measurement”,
“Adding fractions on the line plot to find total lengths”
]
}
]
}
]
}
]
}
[/ai_lms_paneli]