Louisiana Grade 6 Math

Which package has the lower price for each identical item?

In this fictional comparison, Package A contains six identical markers for nine dollars, and Package B contains eight of the same markers for fourteen dollars. Assume no tax, shipping fee, or discount and compare the stated prices. Find the price for one marker in each package, then check the comparison using the same total number of markers.

Find and interpret the unit rate

For A, divide nine dollars by six markers: 9 ÷ 6 = 1.50 dollars per marker. For B, 14 ÷ 8 = 1.75 dollars per marker. Package A has the lower unit price by twenty-five cents per marker. The units matter: dollars divided by markers gives dollars for each marker. Reversing the division would give markers per dollar, another useful rate but a different quantity. Do not compare the numerical results without first deciding which rate each calculation describes.

Check with equivalent quantities

Twenty-four is a quantity obtainable with whole packages of either type. Four A packages provide twenty-four markers for 4 × 9 = 36 dollars. Three B packages provide twenty-four markers for 3 × 14 = 42 dollars. The six-dollar difference matches twenty-four times the twenty-five-cent unit-price difference. This second approach checks the comparison without treating the smaller package price alone as proof of value. Both methods rely on the markers being identical and the prices scaling with whole packages under the stated assumptions.

Separate price comparison from a purchase decision

A lower unit price does not mean a person can buy one marker at that price. The task offers packages. If someone needs exactly eight markers and cannot keep extras, the practical choice requires considering package quantities and the situation’s rules. The unit-price result still holds, but it answers a specific comparison. A response claiming B is cheaper because it contains more markers ignores cost per marker; a response claiming A always costs less for every possible order ignores package constraints.

Try a related change

Suppose the stated price of B changes to twelve dollars for eight markers while A stays unchanged. B then costs 12 ÷ 8 = 1.50 dollars per marker, matching A. Twenty-four markers cost thirty-six dollars using either package type. Explain what changes and what stays constant. Continue with teacher-selected ratio tables and rate contexts in the school’s sequence. These fictional prices are for mathematical reasoning, not current offers or advice about a real product.

Selected references from Louisiana mathematics standards

The Louisiana mathematics standards directory lists current and updated standards. For 2026–27, use the current K–12 document, updated December 21, 2017; the revised standards have full implementation in 2027–28. These selected references identify the worked activity’s focus. The expectations include numbered requirements, examples, and mathematical practices. Read the full document and confirm the school’s current instructional sequence.

Sources checked October 6, 2026. Read complete requirements, clarifications, limitations, and mathematical practices alongside the school’s sequence. This selected activity is an entry point for instruction.

Connect the explanation with practice

Use the lesson, worksheet, and quiz directory to choose a related skill. The existing resource links remain available; open each activity’s directions to understand its timer, tools, question count, and scoring.

Grade 6 is within Louisiana’s general LEAP mathematics testing range. The linked learning resources have their own directions and scoring; a practice score does not establish an official state performance level. Read Louisiana’s assessment overview.

Keep one example of the student’s reasoning with the practice result. Choose a smaller model, a related question, or a new context according to the difficulty revealed in the worked activity.