🔢 5th grade Math

Units

1. Unit 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.

   TEKS student expectation: 5.2(A); 5.2(B); 5.2(C); 5.3(K) · decimals to thousandths: place value, comparing, rounding, adding and subtracting

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.

   TEKS student expectation: 5.3(B) · multiplying a three-digit number by a two-digit number with the standard algorithm

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.

   TEKS student expectation: 5.3(C) · dividing a four-digit number by a two-digit number

4. Unit 4

   ➕Unlike Denominators

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

   TEKS student expectation: 5.3(H); 5.3(K) · adding and subtracting fractions with unequal denominators

5. Unit 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.

   TEKS student expectation: 5.4(A) · identifying prime and composite numbers

6. Unit 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.

   TEKS student expectation: 5.4(B) · solving multi-step problems with a letter standing for the unknown

7. Unit 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.

   TEKS student expectation: 5.4(C); 5.4(D) · number patterns from a rule, and additive and multiplicative patterns

8. Unit 8

   🧩Parentheses & Expressions

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

   TEKS student expectation: 5.4(E); 5.4(F) · parentheses and brackets, and simplifying numerical expressions

9. Unit 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.

   TEKS student expectation: 5.4(G); 5.6(A); 5.6(B) · unit cubes and the volume of rectangular prisms

10. Unit 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).

    TEKS student expectation: 5.4(H) · solving problems about perimeter and area

11. Unit 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.

    TEKS student expectation: 5.5 · classifying two-dimensional figures in a hierarchy by their attributes

12. Unit 12

    🔁Converting Units

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

    TEKS student expectation: 5.7 · converting measurements within the customary or metric system

13. Unit 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.

    TEKS student expectation: 5.8(A); 5.8(B); 5.8(C) · the coordinate plane and graphing ordered pairs in the first quadrant

14. Unit 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.

    TEKS student expectation: 5.3(I); 5.3(J); 5.3(L) · multiplying a whole number and a fraction, and dividing whole numbers and unit fractions

15. Unit 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.

    TEKS student expectation: 5.10(A); 5.10(B); 5.10(C); 5.10(D); 5.10(E); 5.10(F) · kinds of taxes, gross and net income, ways to pay, financial records, and balancing a budget