🔢 5th grade Math: how to help at home

What each unit covers

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.

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.

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.

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.

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.

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.

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.

8. 🔷Parallel Lines and Quadrilaterals

   Finding parallel and perpendicular edges and sides, and sorting quadrilaterals (rectangles, squares, trapezoids, parallelograms and rhombuses) by their sides and angles.

9. 🔁Converting Units

   Converting between units in the US customary and metric systems (both ways, including decimals) and using conversions in multi-step problems.

10. 🧩Parentheses & Expressions

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

11. 🗺️Coordinate Grid

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

12. 🍰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.

13. ➕Unlike Denominators

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

14. 📦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.

15. 🌲Prime Factor Trees

    Writing whole numbers from 2 to 50 as products of prime factors, for example 24 = 2 × 2 × 2 × 3, using factor trees. Prime factorization is a California addition to the 5th grade standards.