Math 7-9

Math 7-9

Select one or more Factors to see the strategies that support your chosen Factor(s). For each strategy, we provide ideas for classroom and product application, videos, and further resources.


Accessible Vocabulary & Syntax

Teachers support language development by using and providing vocabulary and syntax that is appropriately leveled (e.g., using simple sentences when introducing complex concepts).

Brief Instruction Steps

Content that is provided in clear, short chunks can support students' Working Memory.

Cognitively Demanding Tasks

Providing math tasks with high cognitive demand conveys high expectations for all students by challenging them to engage in higher-order thinking.

Collaborative Problem Solving

As students solve problems in a group, they learn new strategies and practice communicating their mathematical thinking.

Creating Visual Representations

Students activate more cognitive processes by exploring and representing their understandings in visual form.

Dim or Natural Lighting

Dim or natural lighting provides a calming environment.

Direct Instruction: Patterning

Thinking of and about patterns encourages learners to look for and understand the rules and relationships that are critical components of mathematical reasoning.

Direct Instruction: Problem Structures

Teaching students to recognize the structures of algebraic representations helps them transfer solution methods from familiar to unfamiliar problems.

Direct Instruction: Problem-solving Strategies

Discussing strategies for solving mathematics problems after initially letting students attempt to problem solve on their own helps them understand how to organize their Algebraic Thinking and intentionally tackle problems.

Encourage Student Self-advocacy

Overtly encouraging all students to seek support and ask questions creates a safe space for risk-taking and skill development.

Error Analysis

Analyzing incorrect worked examples is especially beneficial for helping students develop a conceptual understanding of mathematical processes.

Flipped Classroom

The flipped classroom has two parts: cooperative group activities in class and digitally-based individual instruction out of class.

Foster Growth Mindset

Teachers can help students understand that learning involves effort, mistakes, and reflection by teaching them about their malleable brain and modeling their own learning process.

Gallery Walk

As students walk through stations working in small groups, the social and physical nature of the learning supports deeper understanding.

Growth Mindset Feedback

Attributing results to controllable aspects (strategy and effort) fosters students' beliefs in self.

Incorporate Students' Cultural Practices

Learning about students' cultures and connecting them to instructional practices helps all students feel like valued members of the community.

Individual Spaces

Having space where students can go supports Self-regulation and individual deliberate practice.

Math Games

Math games allow students to practice many math skills in a fun, applied context.

Mobility & Flexibility

Multiple tables and chairs on wheels allow for setting up the classroom to support the desired learning outcomes of each activity.

Model Positive Connections to Math

Teachers sharing math-to-self, math-to-math, and math-to-world connections models this schema building.

Multiple Display Boards/Screens

Multiple display spaces help develop oral language skills as well as Social Awareness & Relationship Skills by allowing groups to share information easily as they work.

Multiple Representations: Graphic Organizer

Visualizing how ideas fit together helps students construct meaning and strengthens recall.

Multiple Representations: Visual Representations

Visual representations help students understand what a number represents as well as recognize relationships between numbers.

Multiple Writing Surfaces

Multiple writing surfaces promote collaboration by allowing groups to share information easily as they work.

Predictability: Environment & Structure

Maintaining consistent classroom routines and schedules ensures that students are able to trust and predict what will happen next.

Prioritize Family Engagement

Students are more likely to come to school when families feel like a valued part of the community.

Quiet Classroom/Pockets of Quiet

Decreasing extra audio input provides a focused learning environment.

Real-world Math

When teachers connect math to the students' world, students see how math is relevant and applicable to their daily lives.

Response Devices

Response devices boost engagement by encouraging all students to answer every question.

Rich Resources: Audio & Braille

Math games and manipulatives for vision differences support math development for learners with visual needs.

Rich Resources: Children's Literature

Children's literature can be a welcoming way to help students learn math vocabulary and concepts.

Rich Resources: Diversity

Multicultural resources, such as posters with different types of people and word problems based in different settings, allow all students to see themselves in their math work.

Sentence Frames

Sentence frames or stems can serve as language support to enrich students' participation in academic discussions.

Sound Level

Providing ways for students to adjust sound level supports individual auditory needs.

Student Choice

Providing students a voice in their learning is critical for making learning meaningful.

Student-generated Problems

When students create their own number and word problems, they connect math concepts to their background knowledge and lived experiences.


Providing ways for students to meet their individual temperature needs supports focus and Self-regulation.


When students explain their thinking process aloud, they recognize the strategies they or others use and solidify their understanding.

Uncluttered Environment

Spaces that are structured, organized, and clean provide increased room for collaboration and active learning.

Untimed Tests

Untimed tests provide students the opportunity to flexibly and productively work with numbers, further developing their problem-solving abilities.

Verbal Repetition

Having students verbally repeat information such as instructions ensures they have heard and supports remembering.


Providing visuals to introduce, support, or review instruction activates more cognitive processes to support learning.

Wait Time

Wait time, or think time, of three or more seconds after posing a question increases how many students volunteer and the length and accuracy of their responses.

Worked Examples

Analyzing and discussing solved problems helps students develop a deeper understanding of abstract mathematical processes.