🔢 5th grade Math

Units

1. Unit 1

   🔢Numbers to a Million

   Place value to 1,000,000: digit values, standard and expanded form, number words, rounding, ordering, and using benchmarks like 500,000 on a number line.

   Benchmark: 5.3.5.7 · place value in multi-digit numbers

2. Unit 2

   ✖️Multiply

   Multiplying 2- and 3-digit numbers using area models and partial products, patterns with 10, 100 and 1000, doubling and halving, and estimating products by rounding.

   Benchmark: 5.3.5.1 · multiplying multi-digit numbers

3. Unit 3

   ➗Divide

   Dividing 2- and 3-digit numbers, finding remainders and deciding what they mean in a story (round up for buses, drop the extra for full bags), and estimating with friendly numbers.

   Benchmark: 5.3.5.2; 5.3.5.3 · dividing by one- and two-digit divisors and making sense of remainders

4. Unit 4

   🍕Equivalent Fractions

   Making and recognizing equivalent fractions (2/3 = 8/12), simplifying, comparing and ordering fractions, and judging whether a fraction is close to 0, 1/2 or 1.

   Benchmark: 5.3.5.5; 5.3.5.11 · equivalent fractions, and adding and subtracting fractions with unlike denominators

5. Unit 5

   🧮Decimals

   Reading, writing, comparing and rounding decimals to thousandths, linking decimals to fractions out of 10, 100 and 1000, and adding and subtracting decimals in real situations.

   Benchmark: 5.3.5.9; 5.3.5.12; 5.3.5.6 · comparing, estimating and adding decimals

6. Unit 6

   🧩Patterns & Equations

   Describing growing and shrinking patterns with rules and expressions like 3n + 1, using input–output tables, and solving one-step equations such as n + 37 = 92 or 6 × n = 54.

   Benchmark: 5.3.7.2; 5.3.7.5 · relationships between two patterns, and rules for visual patterns

7. Unit 7

   🧠Mental Math Tricks

   Recalling multiplication and division facts to 9 × 9, and mental strategies such as adding zeros, halving and doubling, and breaking a number into friendly parts.

   Benchmark: 5.3.5.7; 5.3.5.1 · multiplying by powers of 10 and mental multiplication strategies

8. Unit 8

   🧩Parentheses & Expressions

   Evaluating expressions with parentheses and brackets, writing an expression from words, and reading an expression without calculating it.

   Benchmark: 5.3.6.2 · numerical expressions with parentheses and the four operations

9. Unit 9

   🗺️Coordinate Grid

   Naming and plotting points in the first quadrant of the coordinate grid, and reading what a point means in a real situation.

   Benchmark: 5.3.7.1; 5.3.7.3 · graphing ordered pairs in the first quadrant of the coordinate plane

10. Unit 10

    🍰Multiply & Divide Fractions

    Multiplying a fraction by a whole number or a fraction, dividing a unit fraction by a whole number (and the other way round), and seeing a fraction as sharing.

    Benchmark: 5.3.5.14; 5.3.5.15; 5.3.5.16 · multiplying fractions and whole numbers, and dividing by unit fractions

11. Unit 11

    ➕Unlike Denominators

    Adding and subtracting fractions and mixed numbers with different denominators by finding a common denominator, and checking with benchmark fractions.

    Benchmark: 5.3.5.11; 5.3.5.13 · adding and subtracting fractions and mixed numbers with unlike denominators

12. Unit 12

    📦Volume of Boxes

    Finding volume by counting unit cubes and layers, using V = l × w × h, finding a missing side, and adding the volumes of two boxes.

    Benchmark: 5.2.3.3; 5.2.3.5 · measuring volume with unit cubes and finding the volume of a rectangular prism