A Research-Based Approach to Our 9–12 Math Curriculum
The Science of Learning Meets the Art of Teaching
Teach students that "I can" is the most powerful way to think.
Rich Tasks
Online "Explore" activities begin with an open-ended question that requires deep conceptual thinking from the learner. Focused on student exploration and reasoning over right answers, Inquiry Questions in every lesson provides opportunities for students to apply their learning.
"I Can" Statements
Learning targets in the form of "I Can" statements appear at the beginning of each lesson to communicate the objective in student-friendly language.
Mindset Matters Tips
Each module in the Teacher Edition includes Mindset Matters tips. They provide strategies for encouraging a growth mindset and productive approaches to problem solving.
Productive Struggle Problems
Problems that can be solved with multiple solution paths encourage productive struggle and challenge student thinking.
Engage students with activities, technology, and discussions that bring math to life.
Cheryl Tobey Formative Assessment Math Probes
Each module features a Cheryl Tobey Formative Assessment Math Probe—exclusive to McGraw Hill. Students complete activities designed to target common misconceptions about mathematical concepts. Teacher resources include support for diagnosing and correcting these misconceptions.
Intensive Support
Arrive Math™ Take Another Look digital mini-lessons supplement core instruction with targeted skill support and extra practice. About 100 of these digital, student-driven lessons are included in each Reveal Math K–8 course.
Personalized Learning
ALEKS® is an online math solution for Grades 6–12 that uses adaptive technology to identify and provide instruction on the topics each student is most ready to learn. Through a continuous cycle of assessment, learning, and reinforcement, ALEKS develops a personalized learning path for each student to ensure measurable success.
Supportive Technology
LearnSmart®, included with Reveal Math, provides students with access to an online, interactive study tool. LearnSmart assesses a student’s proficiency and knowledge within a specific course, tracks which topics have been mastered, and identifies areas that need more study.
Reports and Recommendations
Drawing on performance data from student assessments and activities, the Reveal Math reports and recommendations provide teachers and administrators with the information they need to monitor and adjust instruction on a daily basis. Reports include an Activity Report, Standards Report, Recommendations Report, and Administrator Report.
Equip teachers with purposeful instruction, assessment, and differentiation tools to reach every student.
Web Sketchpad®
Web Sketchpad activities, based on software from The Geometer’s Sketchpad, enhance understanding by dynamically demonstrating math concepts in action.
Desmos
The best-in-class Desmos graphing calculator, easily accessible online in Reveal Math, allows students to quickly and easily create visual representations of mathematical concepts.
Mathematical Discourse
Talk About It! prompts build mathematical discourse skills as students learn to clarify their thinking and defend their rationale.
eTools
Embedded within lessons, a convenient collection of eTools builds a bridge from conceptual understanding to procedural fluency. It includes a number line tool, coordinate graphing tool, transformations tool, and algebra tiles tool.
Engaging Technology
Designed with student engagement in mind, the digital resources in Reveal Math include animations, videos, and interactive problems to enhance context and learning.
9–12 Math Curriculum Lesson Model
The abundant print and digital resources in Reveal Math intersect in a meaningful way to heighten the learning experience. Interactive print and digital tools increase student engagement while simultaneously deepening comprehension.
WARM UP
The Warm Up covers the prerequisite skills needed for the lesson.
Teachers can also project the standards and vocabulary covered in the lesson using the Today’s Standards and What Vocabulary Will You Learn? slides.
Warm Up
LAUNCH THE LESSON
In Launch the Lesson, teachers utilize a hook to engage students and pique their interest.
Talk About It! prompts initiate student thinking about lesson content.
Launch the Lesson
INDIVIDUAL ACTIVITY
GROUP ACTIVITY
CLASSROOM ACTIVITY
EXPLORE
Students complete the rich task Explore activities online, working in collaborative groups to share ideas and approaches with their peers.
Explore
LEARN
In the Learn portion of the lesson, student understanding is formalized through guided instruction.
Aligned print and digital content means teachers choose the most effective instructional pathway.
Learn
EXAMPLES & CHECK
Students work through one or more Examples tied to the key concepts, followed by a quick Check (formative assessment) to measure their understanding. Examples and Checks can be completed in the print Interactive Student Edition or online. When Checks are completed online, performance data is instantly captured for the teacher.
Examples & Check
INDIVIDUAL ACTIVITY
GROUP ACTIVITY
CLASSROOM ACTIVITY
EXIT UP
The Exit Ticket provides a quick formative assessment opportunity that encourages students to reflect on their learning.
Write About It! prompts provide an opportunity for students to integrate writing skills in the classroom.
Exit Ticket
PRACTICE
Students complete the Practice either online or in their print Interactive Student Edition to apply what they’ve learned and build procedural fluency.
When the Practice is completed online, performance data is instantly captured for the teacher.
Practice
INDIVIDUAL ACTIVITY
GROUP ACTIVITY
CLASSROOM ACTIVITY
Beyond 9–12 Core Math: Intervention and Personalized Learning
Reveal Math Learning System
There is no such thing as an average learner. All students can achieve success with a comprehensive system of support. With the complete classroom solution of Reveal Math, Arrive Math Booster, and ALEKS, the needs of every student can be met with engaging and targeted resources.
Core Instruction for All
Provides all universal Tier 1 instruction with whole-class, small-group, and individual activities, comprehensive assessments, and data-driven differentiation support.
Personalized, Adaptive Learning
Remediates and accelerates learning by delivering and adjusting content so each student is ready to learn.
*Optional purchase
Take Another Look
Integrated digital intervention lessons that target specific skills to fill learning gaps.
Chart Unique Paths to Growth
Simplify educators’ daily workflow by connecting data from multiple digital solutions to generate personalized instructional recommendations.
It looks like you're outside the United States. Do you want to see your regional version of this page?
prek-12
2026-07-31T15:59:07.060-04:00
prek12 9–12 Program Foundations <h1><span class="h2"><b>Program Foundations</b></span></h1> <h2>A Research-Based Approach to Our 9–12 Math Curriculum</h2> <p><span class="fs-5">The Science of Learning Meets the Art of Teaching</span></p> View Reveal Math Curriculum Features Growth Mindset Insightful Instruction Active Classroom <p><span class="fs-5">Teach students that "I can" is the most powerful way to think.</span></p> High School Math growth mindsets Use Algebra Tiles to Subtract Integers, Introducing the Inquiry Question Online "Explore" activities begin with an open-ended question that requires deep conceptual thinking from the learner. Focused on student exploration and reasoning over right answers, Inquiry Questions in every lesson provides opportunities for students to apply their learning. Use Algebra Tiles to Subtract Integers, Introducing the Inquiry Question Rich Tasks I "Can" Statements learning objective Learning targets in the form of "I Can" statements appear at the beginning of each lesson to communicate the objective in student-friendly language. callout of I Can....use different methods, including algegra titles, number lines or the additive inverse, to subtract integers "I Can" Statements Mindset Matters Tips "Not Yet" doesn't mean "Never" Each module in the Teacher Edition includes Mindset Matters tips. They provide strategies for encouraging a growth mindset and productive approaches to problem solving. callout example of Mindset Matters "Not Yet" doesn't mean "Never" and How can I apply it? Mindset Matters Tips Productive Struggle Problems and what strategies you can use Problems that can be solved with multiple solution paths encourage productive struggle and challenge student thinking. Apply the solar system callout asking how can you approach the task? What Strategies can you use? Productive Struggle Problems <p><span class="fs-5">Engage students with activities, technology, and discussions that bring math to life. </span></p> High School Math Insightful Instruction Cheryl Tobey Formative Assessment Math Probes worksheets Each module features a Cheryl Tobey Formative Assessment Math Probe—exclusive to McGraw Hill. Students complete activities designed to target common misconceptions about mathematical concepts. Teacher resources include support for diagnosing and correcting these misconceptions. Math Probes example worksheets Cheryl Tobey Formative Assessment Math Probes Intensive Support for Apply Arrive Math lesson Arrive Math™ Take Another Look digital mini-lessons supplement core instruction with targeted skill support and extra practice. About 100 of these digital, student-driven lessons are included in each Reveal Math K–8 course. Learn and Apply Arrive Math lesson screenshot Intensive Support Personalized Learning for ALEKS dashboard ALEKS® is an online math solution for Grades 6–12 that uses adaptive technology to identify and provide instruction on the topics each student is most ready to learn. Through a continuous cycle of assessment, learning, and reinforcement, ALEKS develops a personalized learning path for each student to ensure measurable success. screenshot of ALEKS dashboard on laptop Personalized Learning Supportive Technology for Learnsmart LearnSmart®, included with Reveal Math, provides students with access to an online, interactive study tool. LearnSmart assesses a student’s proficiency and knowledge within a specific course, tracks which topics have been mastered, and identifies areas that need more study. example of Learnsmart on laptop, Which of the following are equations? Supportive Technology Reports and Recommendations for performance data Drawing on performance data from student assessments and activities, the Reveal Math reports and recommendations provide teachers and administrators with the information they need to monitor and adjust instruction on a daily basis. Reports include an Activity Report, Standards Report, Recommendations Report, and Administrator Report. example screenshot of reports on laptop Reports and Recommendations <p><span class="fs-5">Equip teachers with purposeful instruction, assessment, and differentiation tools to reach every student. </span></p> High School Math Active Classroom Web Sketchpad® Software Web Sketchpad activities, based on software from The Geometer’s Sketchpad, enhance understanding by dynamically demonstrating math concepts in action. Web Sketchpad software example showing on laptop Web Sketchpad® Desmos graphing calculator The best-in-class Desmos graphing calculator, easily accessible online in Reveal Math, allows students to quickly and easily create visual representations of mathematical concepts. example of Desmos graphing calculator on tablet Desmos Mathematical Discourse in Reveal Math Talk About It! prompts build mathematical discourse skills as students learn to clarify their thinking and defend their rationale. callout examples of Talk About It prompts in Reveal Math Mathematical Discourse etools embedded within lessons to help Embedded within lessons, a convenient collection of eTools builds a bridge from conceptual understanding to procedural fluency. It includes a number line tool, coordinate graphing tool, transformations tool, and algebra tiles tool. eTools examples eTools Engaging Technology for students Designed with student engagement in mind, the digital resources in Reveal Math include animations, videos, and interactive problems to enhance context and learning. digital animation example on tablet Engaging Technology <h2>9–12 Math Curriculum Lesson Model</h2> <p>The abundant print and digital resources in <i>Reveal Math</i> intersect in a meaningful way to heighten the learning experience. Interactive print and digital tools increase student engagement while simultaneously deepening comprehension. </p> View Reveal Math Curriculum Lesson Models Launch Explore & Develop Reflect & Practice <p><span class="fw-semibold">WARM UP</span></p> <p>The <b>Warm Up</b> covers the prerequisite skills needed for the lesson.</p> <p>Teachers can also project the standards and vocabulary covered in the lesson using the <b>Today’s Standards</b> and <b>What Vocabulary Will You Learn?</b> slides.</p> Warm Up, Does each situation describe a <p>Warm Up</p> <p><span class="fw-semibold">LAUNCH THE LESSON</span></p> <p>In<b> Launch the Lesson</b>, teachers utilize a hook to engage students and pique their interest.</p> <p><b>Talk About It! </b>prompts initiate student thinking about lesson content.</p> Warm Up, Does each situation describe a <p>Launch the Lesson</p> <p>INDIVIDUAL ACTIVITY</p> <p>GROUP ACTIVITY</p> <p>CLASSROOM ACTIVITY</p> <p><span class="fw-semibold">EXPLORE</span></p> <p>Students complete the rich task <b>Explore </b>activities online, working in collaborative groups to share ideas and approaches with their peers.</p> Quantitative graph example on worksheet and tablet <p>Explore</p> <p><b>LEARN</b></p> <p>In the <b>Learn </b>portion of the lesson, student understanding is formalized through guided instruction.</p> <p>Aligned print and digital content means teachers choose the most effective instructional pathway.</p> Guided content worksheet showing functions and screenshot on tablet <p>Learn</p> <p><b>EXAMPLES & CHECK</b></p> <p>Students work through one or more <b>Examples </b>tied to the key concepts, followed by a quick Check (formative assessment) to measure their understanding. <b>Examples </b>and <b>Checks </b>can be completed in the print <b>Interactive Student Edition</b> or online. When <b>Checks </b>are completed online, performance data is instantly captured for the teacher. </p> Example 2 Sketch a Qualitative Graphs worksheet and example on tablet <p>Examples & Check</p> <p>INDIVIDUAL ACTIVITY</p> <p>GROUP ACTIVITY</p> <p>CLASSROOM ACTIVITY</p> <p><span class="fw-semibold">EXIT UP</span></p> <p>The <b>Exit Ticket</b> provides a quick formative assessment opportunity that encourages students to reflect on their learning.</p> <p><b>Write About It!</b> prompts provide an opportunity for students to integrate writing skills in the classroom.</p> Exit ticket example on tablet <p>Exit Ticket</p> <p><span class="fw-semibold">PRACTICE</span></p> <p>Students complete the <b>Practice </b>either online or in their print <b>Interactive Student Edition</b> to apply what they’ve learned and build procedural fluency.</p> <p>When the <b>Practice </b>is completed online, performance data is instantly captured for the teacher.</p> Practice lesson 5-6 form Public Viewer example on laptop <p>Practice</p> <p>INDIVIDUAL ACTIVITY</p> <p>GROUP ACTIVITY</p> <p>CLASSROOM ACTIVITY</p> <h2>Beyond 9–12 Core Math: Intervention and Personalized Learning</h2> <p><span class="fs-5"><i>Reveal Math</i> Learning System</span></p> <p>There is no such thing as an average learner. All students can achieve success with a comprehensive system of support. With the complete classroom solution of <i>Reveal Math</i>, <i>Arrive Math Booster</i>, and ALEKS, the needs of every student can be met with engaging and targeted resources. </p> Reveal Math <p><span class="text-white"><span class="h4">Core Instruction for All</span></span></p> <p><span class="text-white">Provides all universal Tier 1 instruction with whole-class, small-group, and individual activities, comprehensive assessments, and data-driven differentiation support.</span></p> <p><span class="text-white"><span class="h4">Personalized, Adaptive Learning</span></span></p> <p><span class="text-white">Remediates and accelerates learning by delivering and adjusting content so each student is ready to learn.</span></p> <p><span class="text-white"><span class="fs-small">*Optional purchase</span></span></p> <p><span class="text-white"><span class="h4">Take Another Look</span></span></p> <span><span class="text-white">Integrated digital intervention lessons that target specific skills to fill learning gaps.</span><br> </span> McGraw Hill Plus PreK-12 <p><span class="text-white"><span class="h4">Chart Unique Paths to Growth<br> </span></span></p> <p><span class="text-white">Simplify educators’ daily workflow by connecting data from multiple digital solutions to generate personalized instructional recommendations.</span></p> <p><a href="/content/mheducation/us/en/prek-12/program/microsites/MKTSP-GAB02M0.html" target="_self">Visit <em>ALEKS</em></a><em> </em>| <a href="/content/mheducation/us/en/prek-12/resources/mcgrawhill-plus.html" target="_self">Visit <em>McGraw Hill Plus</em></a></p>