5th grade Math

5th grade 19 TAC §111.7 46 student expectations 15 activities

Fifth grade math deepens work with decimals and fractions, including multiplying and dividing them, introduces order of operations, prime and composite numbers, coordinate graphing, volume of rectangular prisms, and problem solving with all four operations.

Practice activities

🔧Lean Tactics: rw and decideTwo more moves: rewrite a goal using a fact you know, and let Lean decide a yes-or-no question.

🧩Meet Lean: Prove It!A computer that checks your math reasoning. Learn what a proof is and read your first Lean proofs.

🚂Decimal DepotThousandths, multiplying and dividing big numbers, and decimal products and quotients with models.

🗺️Fraction & Decimal QuestCompare, add, and multiply.

🧮Estimate, Divide, and PatternsEstimating to check answers, dividing decimals, multiplying a whole number by a fraction, adding and subtracting fractions and decimals, dividing with unit fractions, additive vs. multiplicative patterns, and where the volume formula comes from.

🗺️Patterns and CoordinatesRules like y = 3x, the coordinate plane, graphing ordered pairs, unit cubes, and dividing with unit fractions.

🧺Corner Store: Budget BasketFill the basket so it costs exactly what you have to spend.

🎈Balloon Pop: Primes and ExpressionsPop the primes or composites, and the expressions that equal the target.

🧊Order of Operations and VolumeParentheses first, then multiply, then add. Plus stacking cubes.

⚖️Balance ScaleFind the mystery number by keeping the scale level.

🥕Garden Planner: Raised BedsHow much soil fills a raised bed, layer by layer.

📊Read the DataFrequency tables, dot plots, bar graphs, and stem-and-leaf plots.

🛒Prices Then and NowWhat bread, eggs and gas really cost over the years, read from bar graphs and tables, and what a price rise does to a family budget. Real data from FRED, Federal Reserve Bank of St. Louis.

🍋Lemonade Stand: BudgetTaxes, net income and balancing the stand’s budget.

📊Money SmartsIncome, payroll, sales, and property taxes; gross vs. net income; check, credit, debit, and electronic payments; keeping records; and balancing a budget.

The learning path

One stop per unit. Filled stops have practice activities today.

Units and standards preview

The knowledge-and-skills strands below are the state's, reproduced from Mathematics, Grade 5, Adopted 2012. Open a unit to read each student expectation and jump to the activities that practice it.

1Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding.4/7 practiced

(A) apply mathematics to problems arising in everyday life, society, and the workplace;
19 TAC 111.7(b)(1)(A)
(B) use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution;
19 TAC 111.7(b)(1)(B)
🔧 Lean Tactics: rw and decide 🧩 Meet Lean: Prove It!
(C) select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problems;
19 TAC 111.7(b)(1)(C)
+ 4 more expectations for members

2Number and operations. The student applies mathematical process standards to represent, compare, and order positive rational numbers and understand relationships as related to place value.3/3 practiced

(A) represent the value of the digit in decimals through the thousandths using expanded notation and numerals;
19 TAC 111.7(b)(2)(A)
🚂 Decimal Depot
(B) compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =; and
19 TAC 111.7(b)(2)(B)
🗺️ Fraction & Decimal Quest
(C) round decimals to tenths or hundredths.
19 TAC 111.7(b)(2)(C)
🗺️ Fraction & Decimal Quest

8 more units, 46 expectations, 15 activities

This is a preview. The Family plan, with a 14-day free trial, unlocks the full 5th grade Math course: every standard, every activity, progress by standard for each child, printables, and Ask Bacc.

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How to help at home

Let your child handle real numbers: a restaurant bill, a discount, miles per gallon.

When they are stuck, ask what the question is asking before touching the numbers.

Celebrate the strategy, not just the answer: what did you try first?

Source: Texas Education Agency, Texas Essential Knowledge and Skills, 19 TAC §111.7. Curriculum text on this site is reproduced from the Texas Essential Knowledge and Skills as published by the Texas Education Agency and codified in Title 19 of the Texas Administrative Code. Baccare is an independent product of Brigade Management, Inc. and is not affiliated with, sponsored by, or endorsed by the Texas Education Agency, the State Board of Education, or the Texas Secretary of State. Sources and attribution.

41 of 46
standards have practice today

Course details

Grade5th grade
SubjectMath
Standard19 TAC §111.7
Units10
Expectations46
Activities15
PriceFree to play

Reasoning track. This grade also has Prove It with Lean, a short introduction to reading and checking mathematical proofs.

Take the check-up Play the activities Track progress (with a parent account)Full curriculum view