How to Write Ratios in Three Different Ways
Mathnasium tutors explain what a ratio is, how to write ratios three different ways, and the difference between part-to-part and part-to-whole ratios.
High school math in Las Colinas follows the Texas TEKS curriculum, ramping up abstract thinking, multi-step problem-solving, and state testing milestones like the Algebra 1 STAAR exam.
Beyond the math itself, this transition demands greater student independence. It requires teens to self-monitor complex concepts and solve multi-step problems with less day-to-day oversight.
Reaching that level of readiness takes work, and coasting through earlier grades with solid grades isn't always the full picture. In fact, at Mathnasium of Las Colinas we often see students who did well in middle school struggle to keep up once high school pacing kicks in.
Today, we’re breaking down five ways structured tutoring helps students head into high school prepared, confident, and ready for whatever track lies ahead.
Your child's first high school math course will depend on the math they finish in middle school. Irving ISD serves much of Las Colinas, and it places students based on the courses they have already completed.
Some 9th graders will start with Algebra 1. Others will arrive with that credit already earned.
Irving ISD's gifted and talented (GT) math program covers two grades of standards in each of 6th and 7th grade, which lets students take Algebra 1 for high school credit in 8th grade. In high school, they move on to GT Geometry, GT Algebra 2, and AP® Pre-Calculus.
The table below shows what your child will work on in each course.
|
Course |
What your child will do |
|
Algebra 1 |
Use equations, graphs, tables, and real-world situations to solve problems; work with linear, quadratic, and exponential relationships |
|
Geometry |
Apply algebra to shapes, measurement, triangles, and circles; write proofs that explain why a conclusion follows |
|
Algebra 2 |
Extend work with functions and equations; build algebraic models for more complex problems |
|
Advanced courses |
Apply earlier algebra and geometry in Precalculus, Statistics, or advanced courses, depending on your child's pathway |
High school teachers in every course will also expect your child to handle more of the work on their own than in middle school. In practice, your child will need to do four things.
Your child will work through multi-step problems without step-by-step prompts from the teacher.
They will organize and check their work before handing it in.
They will explain their reasoning along with the final answer.
They will ask specific questions when a method isn't clear.
Each new course also picks up where the last one left off. Algebra 1 draws on the proportional reasoning your child practiced in 7th and 8th grade, and Geometry uses Algebra 1 equations to find missing angles and side lengths.
Not sure which course your child will take next year? Their middle school counselor can confirm the placement.
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A solid grade in 8th grade math tells you your child completed the course. High school math asks for two more things. Your child needs to recall and apply earlier concepts without relearning them, and they need the confidence to keep working when the next step isn't obvious.
Ideally, your child builds both steadily through elementary and middle school. That doesn't always happen. A fast-moving curriculum and a full classroom can leave small gaps that nobody notices at the time. A shaky grasp of the order of operations in 6th grade, for example, can resurface in Algebra 1 as wrong answers on expressions your child knows how to simplify.
Personalized tutoring gives your child time to find and close those gaps and to practice the habits high school teachers will expect.
Our Mathnasium education specialists share five ways this kind of support prepares Las Colinas students for the move to high school.
Your child can pass a middle school unit and still feel unsure about an idea that high school math takes for granted. That kind of gap often stays hidden until your child has to use the idea in a new type of problem.
Here are a few gaps our tutors look for before high school.
Fractions inside equations can slow your child down when solving for x in Algebra 1.
Negative numbers can lead to sign errors partway through multi-step problems.
Proportional reasoning from 7th grade shows up again in Geometry, when your child works with similar triangles and scale drawings.
Graph reading comes back in Algebra 1, where your child will interpret linear and quadratic functions.
Does your child hesitate on any of these?
Personalized tutoring gives an instructor time to find the exact point where your child's understanding becomes unclear. Research from Stanford's National Student Support Accelerator supports this approach, since effective tutoring uses data from each student's progress to shape what they work on next.
At Mathnasium of Las Colinas, your child starts with b. Our instructors look at more than whether an answer is correct. We listen to how your child approaches each problem, which shows us what they know and which skills need attention before next year.
For your child, that means targeted work on the specific concepts that need it, in place of repeating an entire unit or reviewing a whole grade level.
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High school math brings ideas from earlier grades together in new ways. The unit rate your child calculated in 7th grade returns as slope in Algebra 1.
Algebra 1 also asks your child to recognize that an equation, a table, a graph, and a word problem can all describe the same relationship.
For instance, could your child explain what "slope" means in a word problem about a monthly phone plan?
Personalized tutoring gives your child time to connect these ideas and talk through why a method fits a particular problem.
Our instructors use the Mathnasium Method™ to teach for understanding. We ask questions, work through examples, and use visual and verbal explanations so your child sees how an idea works and when to use it.
Once those links are made, your child can spot a familiar idea inside a problem that looks new.
In middle school, homework problems often look a lot like the example the teacher just worked on in front of the board. High school tests mix in problems your child hasn't seen in that exact form, and the first step isn't always obvious.
Tutoring gives your child time to slow down and make sense of a problem before solving it. For example, at our learning center, we practice a four-step routine with students when working on complex problems:
Your child identifies what the question is asking.
They note the information the problem gives.
They choose a reasonable first step.
They try a different approach if the first one stalls.
The Institute of Education Sciences' algebra practice guide recommends similar work, including teaching students to intentionally choose between alternative strategies.
At our Las Colinas center, our specially trained tutors listen as your child explains what they notice and ask questions that help them find the first step. Then your child gets time to try it independently.
With a dependable way to begin, your child can approach a hard problem calmly instead of waiting to be told what to do.
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Algebra 1 problems can run eight or ten steps. Distributing a 3 to only the first term inside parentheses in step two changes every step that follows. Texas's Algebra 1 standards expect students to justify their solutions and judge whether an answer is reasonable.
In tutoring, we help your child build three checking habits.
Your child writes each step clearly, so the work is easy to trace back.
They find the step where an error started instead of redoing the whole problem.
They check whether the answer fits the original question, such as spotting a negative side length in a Geometry problem.
We treat each mistake as useful information that shows our tutors what to clarify next. At Mathnasium of Las Colinas, instructors work alongside your child as they solve problems, so we respond to their reasoning in the moment rather than after the assignment is done.
With practice, your child can catch an error, go back to where it started, and fix it before a teacher's red pen does.
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High school math homework often happens at the kitchen table, with no teacher nearby. What does your child do when they get stuck on problem 12 at 9 p.m.?
Tutoring gives your child space to practice three habits for those moments.
Your child rereads the problem slowly before deciding they're stuck.
They work out what they already know about the problem, even when the full solution isn't clear yet.
They mark the exact spot where they got stuck and write a specific question for their teacher, such as "Why do I divide both sides by 4 here?"
In regular sessions at Mathnasium of Las Colinas, our instructors step back a little more each week, so your child does more of the thinking. Before moving on from a problem, we look for your child to explain their next step in their own words.
That way, your child starts high school with a routine for the moments they don't know the answer yet.

Mathnasium tutors find the gaps in your child's math and work alongside them until they can solve problems on their own.
Mathnasium of Las Colinas is a math-only learning center dedicated to helping K-12 students of all skill levels excel in math. Our center is part of a network of over 1,200 centers in North America. We’ve helped many local students head into high school prepared for the challenges ahead.
We provide this support through the Mathnasium Method™, our proprietary teaching approach designed around individual student needs and learning styles.
Here’s what it includes:
Assessment and Personalized Learning Plans: Each student begins their Mathnasium journey with a diagnostic assessment that identifies current skills, strengths, and gaps. From those findings, we build a customized learning plan that helps students address learning gaps, prepare for future coursework, and progress at a pace that matches their unique needs.
Teaching for Understanding: Our specially trained instructors use natural language and a mix of verbal, visual, mental, tactile, and written techniques so each concept truly lands before we move forward. Different ways of presenting a concept give students more than one path to understanding, whether they benefit from visual tools, hands-on activities, or verbal explanations.
Problem-Solving and Critical Thinking: We give students time to work through problems independently. That productive struggle helps them learn to trust their own reasoning. When we do step in, we explain both the how and the why behind each answer, so students build problem-solving and critical thinking skills they can use in math and beyond.
An Engaging and Fun Learning Environment: Sessions include games, earned rewards, and consistent celebration of progress. Students build confidence alongside fluency, and many develop a more positive relationship with math over time.
The impact shows up in the numbers:
94% of parents report an improvement in their child's math skills and understanding.
93% of parents report an improved attitude toward math after attending Mathnasium.
90% of students see an improvement in their school grades.
If your future high schooler is ready to build lasting confidence and master the math skills they need for the years ahead, we’d love to help them get started.
Contact Mathnasium of Las Colinas today to schedule your child's diagnostic assessment and take the first step toward high school readiness.
📅 Schedule a Free Diagnostic Assessment at Mathnasium of Las Colinas
Not located near Irving?
Mathnasium of Las Colinas is a math-only learning center for K-12 students in Irving, TX. Trusted by over a million parents, Mathnasium uses personalized learning plans and the proprietary Mathnasium Method™ to help students catch up, keep up, and get ahead on their math journey.
Our specially trained tutors deliver face-to-face instruction in a supportive and fun small-group environment, working with students to develop a deep understanding of math, build confidence, and improve academic performance.
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