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IB Big Math G5: 20-Level Math Quest

A complete Grade 5 IB PYP math path with 20 Larry-style video lessons, concept checks, and game-like practice that rewards clear reasoning, brave mistakes, and steady improvement.

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IB G5 Level 01 | The Mathematician's Toolkit

Let's start with a real problem. Grade 5 is running a class fair. Each notebook costs eight dollars, and the class sells sixteen notebooks. Each marker costs three dollars, and the class sells twenty-four markers. The class also pays a twenty-five dollar booth fee. How much profit did the class make? Pause first. We have prices, quantities, a cost, and a final profit. We need to organize the information.

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IB G5 Level 02 | Place Value: From Millions to Billions

Imagine a city dashboard. One city has four hundred thirty-eight million, sixty thousand, two hundred five video views. That number looks huge. But if we group it by periods, millions, thousands, and ones, it becomes readable.

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IB G5 Level 03 | Integers and the Number Line

Negative numbers are not mysterious. They appear in real life. A temperature below zero is negative. A submarine below sea level has a negative elevation. Money owed can be represented as a negative balance. Zero is the reference point.

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IB G5 Level 04 | Estimation, Rounding, and Reasonableness

Imagine a school shop order. The class buys two hundred ninety-eight notebooks, and each notebook costs forty-two cents. A calculator says the total is one million, two hundred fifty-one thousand, six hundred cents. Should we trust it? Before we recalculate, we estimate.

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IB G5 Level 05 | Multi-Digit Operations and Order of Operations

From Episode 4, we know to estimate first. Thirty-six times twenty-four is close to forty times twenty, which is eight hundred. So the exact answer should be somewhere near eight hundred. Now we are ready to calculate exactly.

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IB G5 Level 06 | Factors, Multiples, Primes, GCF and LCM

Start with twenty-four tiles. A factor is a number that can make equal groups or an exact rectangle. Twenty-four can be arranged as one by twenty-four, two by twelve, three by eight, and four by six. Each rectangle gives a factor pair.

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IB G5 Level 07 | Fractions, Equivalent Fractions, and Simplifying

A fraction needs a whole, equal parts, and selected parts. In three fourths, the denominator four tells us the whole is split into four equal parts. The numerator three tells us we selected three of those parts.

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IB G5 Level 08 | Adding and Subtracting Fractions with Unlike Denominators

Look at one half plus one third. One half means the whole is split into two equal parts. One third means the whole is split into three equal parts. The pieces are different sizes, so we cannot add the numerators and denominators directly.

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IB G5 Level 09 | Multiplying Fractions: Part of a Part

Imagine a rectangular cake. Three fifths of the cake is saved for the class. Then two thirds of that saved part is chocolate topping. The question is not three fifths plus two thirds. The question is two thirds of three fifths.

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IB G5 Level 10 | Dividing Fractions: Groups, Measurement, and Reciprocals

Suppose we have two liters of juice. Each cup holds one third of a liter. The question is, how many one-third-liter cups can we fill? We are not sharing into three equal people. We are measuring how many one-third units fit inside two liters.

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IB G5 Level 11 | Decimal Place Value: Tenths, Hundredths, and Thousandths

Look at this field note. The measurement is three point four seven two meters. The digit three means three whole meters. The digit four is four tenths of a meter. The digit seven is seven hundredths. The digit two is two thousandths. The decimal point tells us where the ones place is.

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IB G5 Level 12 | Decimal Operations: Add, Subtract, Multiply, and Check

At the market, apples cost two dollars and seventy-five cents. Yogurt costs three dollars and forty cents. There is also a coupon for one dollar and twenty-five cents. This is a real decimal situation, because money uses hundredths of a dollar.

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IB G5 Level 13 | Decimal Division and Unit Rates

Three friends share a twelve dollar and sixty cent cafe bill equally. The question is twelve point six zero divided by three. Money makes the decimal concrete because sixty cents means sixty hundredths of a dollar.

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IB G5 Level 14 | Percents, Fractions, and Decimals

A bottle that is fifty percent full is half full. This is not a new kind of number. Fifty percent means fifty out of one hundred. That is the fraction fifty hundredths, the decimal zero point five zero, and the fraction one half.

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IB G5 Level 15 | Data, Graphs, Mean, Median, Mode, and Range

A class asks, what fruit should we choose for field day? The survey results are Apple six, Mango nine, Berry five, and Pear four. Before calculating anything, we check the data table and make sure every category and count has a clear meaning.

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IB G5 Level 16 | Patterns, Sequences, and Rules

Start with a simple matchstick pattern. Figure one is one square. Figure two is two connected squares. Figure three is three connected squares. When a new square joins the chain, it shares one side with the square before it, so it needs three new matchsticks, not four.

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IB G5 Level 17 | Variables, Expressions, and Simple Equations

Think of a mystery box. If the box is labeled x, x stands for a number we do not know yet. Sometimes x is one unknown value, like the number of pencils in a box. Sometimes x can change, like the number of tickets sold each day.

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IB G5 Level 18 | Coordinate Planes and Relationship Graphs

Imagine a treasure map. To find a point, move along the x direction first, then move in the y direction. The point three, five means three steps across and five steps up. If you switch the order to five, three, you land in a different place. That is why a coordinate pair is ordered. The order carries meaning.

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IB G5 Level 19 | Area, Volume, and Composite Figures

Area measures how much flat surface is covered. If a rectangle is six units long and four units wide, it covers twenty-four square units. We can see this as four rows of six squares, or six columns of four squares. Square units matter because we are counting little squares, not just adding side lengths.

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IB G5 Level 20 | Data, Probability, and the Fall Project

Data begins with a question. Suppose we ask classmates, how many minutes did you read yesterday? A good question is clear enough that different students understand it the same way. We collect the answers, organize them, and remember that data comes from real people or real events, not from random numbers on a page.

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