🔢 5th grade Math: how to help at home

What each unit covers

1. 🧮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.

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. ➕Unlike Denominators

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

5. 🌲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.

6. 🔤Expressions & Equations

   Writing expressions like n + 5 for “5 more than a number”, evaluating them, solving equations to 100, and finding numbers that make an inequality true.

7. 🧩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.

8. 🧩Parentheses & Expressions

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

9. 📦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.

10. 📐Area & Perimeter

    Finding the area and perimeter of squares and rectangles, working backwards to a missing side, and discovering that shapes with the same area can have different perimeters (and vice versa).

11. 🔷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.

12. 🔁Converting Units

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

13. 🗺️Coordinate Grid

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

14. 🍰Fractions Times & Divided

    Your child multiplies a whole number by a fraction, divides a unit fraction (like 1/3) by a whole number, and divides a whole number by a unit fraction, often with recipes and sharing.

15. 📒Taxes, Pay & Budgets

    Personal financial literacy: your child names income, payroll, sales and property taxes, tells gross from net income, weighs ways to pay (cash, check, debit, credit, electronic), keeps simple records, and balances a simple budget.