5-Day 8th Grade STAAR Math Review

Special Education Small Group Pull-Out Lesson Plan

Culturally Responsive • Accommodated • Evidence-Based

πŸ“ Dallas ISD, TX πŸ“… Spring 2026 ⏱ 50 min/session πŸ‘₯ Small Group Pull-Out 🎯 High-Leverage Readiness TEKS β™Ώ ID & OHI (ADHD) πŸ–© STAAR Desmos Calculator

πŸ“‘ Table of Contents

πŸ—‚οΈ Quick Access β€” All Slide Decks & Worksheets

Click any link to open the file. All files are in the same folder as this lesson plan.

Day Topic Slide Deck Worksheet
Day 1 Proportional Relationships & Slope πŸ–₯️ Open Slides πŸ“„ Open Worksheet
Day 2 Writing & Solving Linear Equations πŸ–₯️ Open Slides πŸ“„ Open Worksheet
Day 3 Functions & Scatterplots πŸ–₯️ Open Slides πŸ“„ Open Worksheet
Day 4 Pythagorean Theorem & Transformations πŸ–₯️ Open Slides πŸ“„ Open Worksheet
Day 5 Volume, Ordering Numbers & Mixed Review πŸ–₯️ Open Slides πŸ“„ Open Worksheet
⭐ Step-by-Step Concept Guide
27 slides Β· All 5 concepts Β· One idea per slide Β· Faded worked examples Β· Chapter navigation
πŸŽ“ Open Concept Guide β†’
πŸ€– AI Tutor β€” STAAR Math Review Chatbot
Powered by MagicSchool Β· Personalized help Β· Available anytime Β· Ask questions about any concept
πŸ€– Open AI Tutor β†’

⚠️ Important: Keep all files together in the same folder so the links work correctly.


πŸ–ΌοΈ Embedded Cheat Sheets & Visuals

Finding the Equation
(Day 1 & 2 Worksheets)

Finding the Equation

Verbal to Desmos Checklist
(Day 2 Worksheet & Slides)

Verbal to Desmos

Identifying Functions
(Day 3 Worksheet & Slides)

Functions

Volume & Surface Area
(Day 5 Worksheet & Slides)

Volume

Ordering Numbers
(Day 5 Worksheet & Slides)

Ordering Numbers

Daily Exit Ticket Form
(Use every day)

Daily Exit Ticket
πŸ“‹ Program Overview & TEKS Prioritization

Student Population

This 5-day STAAR Math review is designed for a special education small group pull-out averaging 50 minutes per session. Students range from Intellectual Disability (ID) to Other Health Impairment (OHI) for ADHD. All instruction is culturally responsive and contextualized for students in Dallas, Texas.

Instructional Framework

🧠
Evidence-Based Approaches Used: Explicit Instruction (I Do β†’ We Do β†’ You Do), Backward-Faded Worked Examples (Cognitive Load Theory), Procedural Checklists (Proceduralizing Strategy), Schema-Based Instruction, Universal Design for Learning (UDL), Culturally Responsive Teaching (CRT), and STAAR Desmos Calculator Integration (the same calculator students use on test day).

High-Leverage Readiness TEKS β€” Prioritized for This Group

Based on the TEA STAAR Grade 8 Math Blueprint and lead4ward TEKS Snapshot, these readiness standards are historically the most tested and most accessible for short-term mastery:

DayTEKSStandardPriorityWhy Accessible
1 8.4(B) Graph proportional relationships; interpret unit rate as slope HIGH Concrete, visual, uses real-world rates
8.4(C) Determine rate of change (slope) and y-intercept from data HIGH Procedural β€” follows clear steps
2 8.5(I) Write equations in y = mx + b form HIGH Most-tested TEKS; template-based
8.8(C) Solve one-variable equations with variables on both sides HIGH Step-by-step procedural process
3 8.5(G) Identify functions using ordered pairs, tables, mappings, graphs HIGH Pattern recognition; visual
8.5(D) Use trend line to make predictions (scatterplots) HIGH Graph reading; estimation skills
4 8.7(C) Pythagorean Theorem and its converse HIGH Formula on reference chart; solve in Desmos with aΒ²+bΒ²~cΒ²
8.10(A) Transformations (translations, reflections, rotations) HIGH Visual; can use coordinate rules
5 8.7(A) Volume of cylinders, cones, spheres HIGH Formulas provided; Desmos V~Bh method
8.2(D) Order a set of real numbers MED Number line visual; concrete
β™Ώ Universal Accommodations & Supports

Accommodations by Disability Category

🧩 For Students with ID (Intellectual Disability)

  • Simplified language β€” Rewrite word problems at lower reading level
  • Reduced number of answer choices β€” Highlight 2 of 4 options when possible during practice
  • Concrete manipulatives β€” Algebra tiles, base-ten blocks, number lines
  • Visual step-by-step checklists with pictures/icons at each step
  • Extended time (1.5x–2x on all tasks)
  • Oral administration β€” Read problems aloud; allow oral responses
  • Calculator access for all computation
  • Reduced problem sets (e.g., 5 problems instead of 10)
  • Enlarged font (16pt+) with increased spacing
  • Color-coded reference sheets at desk
  • Repeated practice with same problem type before moving on

⚑ For Students with OHI/ADHD

  • Chunked tasks β€” Break worksheets into 3-4 problem sections
  • Movement breaks β€” 2-3 min every 12-15 min
  • Fidget tools allowed during instruction
  • Visual timer displayed for each task segment
  • Preferential seating β€” Near teacher, away from distractions
  • Written + verbal directions simultaneously
  • Graphic organizers pre-printed (no copying from board)
  • Frequent check-ins β€” Every 3-4 problems
  • Choice in order of problems to solve
  • Token/point system for on-task behavior
  • Noise-reducing headphones during independent work
  • Highlight key words in problems before solving

Universal Supports for ALL Students in This Group

🌐 Applied Every Day

  • βœ… STAAR Reference Chart available at all times (TEA Reference Materials)
  • βœ… STAAR Desmos Calculator used in every session β€” the SAME calculator students will have on test day (STAAR Desmos Texas Testing Version). Students practice entering formulas using the tilde (~) regression method so they can let Desmos solve for unknowns.
  • βœ… Procedural checklist for every problem type β€” laminated on desk
  • βœ… Faded worked examples before independent practice
  • βœ… Sentence stems for math talk ("I noticed that…", "My first step is…")
  • βœ… Anchor charts posted on wall for each day's concept
  • βœ… Error analysis journals β€” students identify and correct mistakes
  • βœ… Positive reinforcement β€” Praise effort, not just accuracy
  • βœ… Culturally relevant contexts β€” Dallas landmarks, local food, community data

STAAR Test-Day Accommodations (IEP-Based)

πŸ“Œ
Review each student's IEP for specific STAAR accommodations. Common allowable accommodations include: Extra time, oral/signed administration, spelling assistance, basic transcribing, individualized/small-group setting, reading aloud to self, and content/language supports (text-to-speech). See the 2025–2026 STAAR Accommodations Educator Guide for full details.

πŸ“˜ Day 1 β€” Proportional Relationships & Slope

TEKS 8.4(B) & 8.4(C) | Readiness Standards | "How fast is Dallas growing?"

πŸ“Ž Day 1 Materials: πŸ–₯️ Slide Deck πŸ“„ Worksheet

🎯 Learning Objectives

🌍 Culturally Responsive Context

πŸ™οΈ
Dallas Connection: Students explore proportional relationships using real scenarios: cost of DART bus passes per ride, price per taco at local Dallas taquerΓ­as, miles walked on the Katy Trail per hour, and growth of the Dallas Mavericks' win record over weeks. Data reflects students' everyday experiences in their Dallas community.

⏱ 50-Minute Schedule

0:00 – 0:05
Warm-Up / Hook (5 min) β€” "How much does a DART day pass cost? If you ride 3 times, how much per ride?" Quick-write or partner chat. Display DART pricing visual. ADHD: Movement β€” students stand to share answers
0:05 – 0:20
I Do β€” Explicit Instruction (15 min)
  • Model: "Tacos cost $2 each at a local taquerΓ­a. Let's make a table & graph."
  • Build table: 1 taco = $2, 2 = $4, 3 = $6
  • Connect: "Slope IS the unit rate β€” how much per one!"
  • Use anchor chart: Slope = Rise Γ· Run = Ξ”y Γ· Ξ”x
  • DESMOS The Desmos Table + Regression Method β€” "Let Desmos find the equation!"

πŸ–© Desmos Steps β€” Finding Slope from a Table

1: Pick any TWO points from the table
2: In Desmos, press the + (plus sign) button
3: Click on "table" β€” a table appears!
4: Type your two points into the table (x₁, y₁) and (xβ‚‚, yβ‚‚)
5: Click the "Add regression" symbol β€” Desmos gives you the equation!
πŸ’‘ Desmos shows: y = 2x β†’ The number in front of x IS the slope! "m = 2 means $2 per taco."
⚠️ Common student confusion: Some students struggle telling apart m (slope) and b (y-intercept) in y = mx + b. Remind them: "m is the MULTIPLIER β€” the number TOUCHING the x. b is the BONUS β€” the number all by itself."
ID: Use physical graph paper and colored dots alongside Desmos
0:20 – 0:30
We Do β€” Guided Practice with Faded Examples (10 min)
  • Problem: "Jaylen walks on the Katy Trail. He walks 3 miles per hour."
  • Students fill in partially completed table and graph using the faded example below
  • Use procedural checklist to verify each step
ADHD: 2-min movement break after this segment
0:30 – 0:42
You Do β€” Independent Practice (12 min)
  • 3-4 problems (reduced set for ID) using Dallas contexts
  • Checklist at desk; calculator available; teacher circulates
  • Problems: Mavericks ticket prices per game, cost of elotes per cup
ID: Reduced to 2-3 problems; enlarged font; read aloud
0:42 – 0:50
Exit Ticket & Closure (8 min)
  • 2 STAAR-format questions (see below)
  • Review answers together; celebrate effort
  • Preview: "Tomorrow we learn to write the EQUATION for these relationships!"

🎲 Low-Prep Activities β€” Day 1: Slope & Proportional Relationships

ActivityTimeMaterialsHow It Works
Slope Scavenger Hunt 8-10 min Index cards, tape Write 8-10 tables/graphs on index cards and tape them around the room. Students walk to each card, find the slope, and record on a recording sheet. ADHD: Movement built in! ID: Pair with a buddy; provide checklist
Slope Match-Up (Memory Game) 5-8 min Index cards (write tables on one set, slopes on another) Lay cards face down. Students flip two at a time β€” match the table to its slope. Keep matched pairs. Most matches wins! Uses only index cards + marker.
"What's My Rate?" Whiteboard Relay 5-7 min Mini whiteboards or scratch paper Teacher reads a Dallas scenario aloud: "3 tacos cost $9. What's the unit rate?" Students write answer on whiteboard and hold up. Fastest correct answer gets a point for their team. ADHD: Fast-paced, competitive, high engagement
Desmos Table Race DESMOS 5 min Desmos calculator (device) Teacher gives a table of values. Students race to enter it into Desmos, add regression, and call out the slope. First to correctly identify slope AND y-intercept wins. Builds Desmos fluency!
Menu Math 10 min Printed or projected menu (real or made-up Dallas restaurant) Give students a taquerΓ­a/restaurant menu. "If 1 taco = $2.50, fill in the table for 2, 3, 4, 5 tacos. Graph it. Find the slope." Students create their own proportional relationships from the menu. ID: Pre-fill part of the table

πŸ“ Faded Worked Example β€” Finding Slope from a Table WITH DESMOS

Context: A food truck near Fair Park charges a set price per taco. Use the table and Desmos to find the slope (unit rate).

Tacos (x)Cost (y)
1$3
2$6
3$9
4$12

Problem 1 (Fully Worked):

1
Pick any TWO points from the table: (1, 3) and (2, 6) βœ…
2
DESMOS Press the + (plus sign) in Desmos and click "table" βœ…
3
DESMOS Type the two points into the Desmos table:
x₁: 1    y₁: 3
xβ‚‚: 2    yβ‚‚: 6
βœ…
4
DESMOS Click the "Add regression" symbol β€” Desmos gives: y = 3x βœ…
5
Read the equation: y = 3x β†’ The slope (m) is 3 β†’ Unit rate = $3 per taco βœ…
Remember: m is the MULTIPLIER β€” the number touching the x!

Problem 2 (Partially Faded β€” complete the last 2 steps):

Katy Trail walking data: (1, 2.5), (2, 5)

1
Pick two points: (1, 2.5) and (2, 5) βœ…
2
DESMOS Press + β†’ click "table" β†’ Type points into table βœ…
3
DESMOS Click "Add regression" β€” Desmos gives: y = ____x
4
The slope (m) = ____ β†’ Unit rate = ____ miles per hour

Problem 3 (Mostly Faded β€” complete steps 2 through 4):

DART bus costs: (1, 1.75) and (3, 5.25)

1
Pick two points: (1, 1.75) and (3, 5.25) βœ…
2
DESMOS Press ____ β†’ click ____ β†’ Type points into the table
3
DESMOS Click ________________ β€” Desmos gives: y = ____x + ____
4
The slope (m) = ____ β†’ The y-intercept (b) = ____ β†’ Unit rate = $____ per ride

πŸ–ΌοΈ Daily Exit Ticket Form β€” Print & use every day!

Daily Exit Ticket

🎫 Exit Ticket β€” Day 1

1. The table shows the total cost for buying tamales at a Dallas market.

TamalesCost
2$5.00
4$10.00
6$15.00

What is the slope (unit rate) of this relationship?

A. $5.00 per tamale
B. $2.50 per tamale βœ“
C. $15.00 per tamale
D. $10.00 per tamale

2. A line passes through (0, 0) and (4, 12). What is the slope?

A. 4
B. 3 βœ“
C. 12
D. 1/3

πŸ“— Day 2 β€” Writing & Solving Linear Equations

TEKS 8.5(I) & 8.8(C) | Readiness Standards | "Building equations from real life"

πŸ“Ž Day 2 Materials: πŸ–₯️ Slide Deck πŸ“„ Worksheet

🎯 Learning Objectives

🌍 Culturally Responsive Context

🎢
Dallas Connection: Students compare cell phone plans (T-Mobile vs. AT&T monthly costs with fees), calculate earnings from a weekend job at a Dallas flea market (La Pulga), and determine how many rides at the State Fair of Texas they can afford with different ticket packages. Real-world scenarios from students' lives make abstract equations tangible.

⏱ 50-Minute Schedule

0:00 – 0:05
Warm-Up (5 min) β€” Review: "What is slope? What is y-intercept?" Use hand signals (thumbs up = I remember, sideways = kinda, down = need help). Quick slope review with 2 table problems from Day 1.
0:05 – 0:20
I Do β€” Explicit Instruction (15 min)
  • Part A: Writing y = mx + b
  • Scenario: "You work at La Pulga and earn $10/hour plus $20 for setting up the booth."
  • m (slope) = $10/hour, b (y-intercept) = $20 start β†’ y = 10x + 20
  • From a table: find slope (Day 1 skill), find b where x = 0
  • Part B: Solving equations with variables on both sides
  • Example: "Two phone plans: Plan A costs 15x + 30, Plan B costs 10x + 55. When are they equal?"
  • 15x + 30 = 10x + 55 β†’ Model step-by-step with algebra tiles
  • DESMOS The Desmos Tilde Method for Solving Equations:

πŸ–© Desmos Steps β€” Solving Equations with Variables on Both Sides

1: 15a + 30 ~ 10a + 55   β† Type the WHOLE equation using ~ (tilde, NOT equals!)
2: Desmos shows: a = 5   β† That's the answer!
⚠️ CRITICAL RULE β€” NO "x"! Students CANNOT use the letter "x" when solving equations this way. Desmos treats x as a graphing variable. Change x to ANY other letter (a, b, n, t, etc.) and Desmos will solve it! We use "a" in class.
πŸ’‘ "Both plans cost the same at 5 months! We just typed ONE line and Desmos solved the whole thing!"
  • DESMOS Writing equations: After finding m and b using the table + regression method (Day 1 skill), type the equation in Desmos β†’ Does the line pass through all our table points? If yes, our equation is correct!
ID: Use color-coded equation mats (variables = green, constants = blue); Desmos as visual check
0:20 – 0:22
Movement Break (2 min) β€” Stand, stretch, "Equation Shake" (shake body for each step you remember) ADHD: Essential reset
0:22 – 0:35
We Do β€” Guided Practice (13 min)
  • Faded worked examples for both writing equations AND solving
  • Students use procedural checklists at desks
  • State Fair context: "Admission is $18, and each ride costs $4. Write an equation for total cost."
  • Solve: "When does Plan A = Plan B?" with guided steps
0:35 – 0:43
You Do β€” Independent Practice (8 min)
  • 3 problems: 1 write equation, 1 solve equation, 1 combined
  • Checklist on desk; teacher supports as needed
ID: 2 problems; read aloud; allow oral explanation of steps
0:43 – 0:50
Exit Ticket & Closure (7 min)

🎲 Low-Prep Activities β€” Day 2: Writing & Solving Equations

ActivityTimeMaterialsHow It Works
Equation Auction 8-10 min Scratch paper, pencil Teacher shows a scenario (e.g., "State Fair: $18 entry + $4/ride"). Students write the equation on paper. Teacher "auctions" β€” students hold up answers. Correct equations earn play money points. Students love the bidding energy! ADHD: Game format keeps attention
Equation Builder Cards 5-8 min Index cards (write m values on some, b values on others) Students draw one "slope" card (e.g., m = 4), one "y-intercept" card (e.g., b = 18), and build the equation y = 4x + 18. Then create a Dallas story to match: "You pay $18 to get in and $4 per ride." ID: Provide sentence frame: "You start with $___ and earn/pay $___ per ___."
Step-by-Step Whiteboard Solve 5-7 min Mini whiteboards or scratch paper Teacher writes an equation (e.g., 5x + 10 = 3x + 24). Students solve ONE STEP at a time on whiteboards. After each step, hold up board for check before moving on. Builds procedural fluency one step at a time. ADHD: Frequent check-ins prevent drifting
Desmos Intersection Detective DESMOS 5-8 min Desmos calculator (device) Give students two equations. Graph both in Desmos, find where lines cross. "At what x are both plans equal?" Then verify by plugging x back into both equations by hand. Connects visual to algebraic!
"Two Truths and a Lie" β€” Equations 5 min Nothing β€” just verbal! Show 3 equations for a scenario. Two are correct, one is wrong. Students discuss with a partner and spot the "lie." Great error analysis with ZERO prep. ID: Reduce to "Truth or Lie" with just 2 choices

πŸ“ Faded Worked Example β€” Solving Equations with Variables on Both Sides WITH DESMOS

Problem 1 (Fully Worked): Solve 5x + 10 = 3x + 24

1
Change "x" to another letter! We can't use x in Desmos for this. Let's use "a" β†’ Rewrite: 5a + 10 = 3a + 24 βœ…
2
DESMOS Type the equation using ~ (tilde) instead of =:
5a + 10 ~ 3a + 24
βœ…
3
Read the answer from Desmos: a = 7 β†’ so x = 7 βœ…
4
Check: 5(7) + 10 = 45 βœ“ and 3(7) + 24 = 45 βœ“ β†’ Both sides equal! βœ…

Problem 2 (Partially Faded): Solve 4x + 8 = 2x + 20

1
Change "x" to "a" β†’ 4a + 8 = 2a + 20 βœ…
2
DESMOS Type with tilde: 4a + 8 ~ 2a + 20 βœ…
3
Desmos shows: a = ____ β†’ so x = ____
4
Check: 4(__) + 8 = ____ and 2(__) + 20 = ____ β†’ Equal? ____

Problem 3 (Mostly Faded): Solve 6x + 5 = 2x + 25

1
Change "x" to another letter: ____ βœ…
2
DESMOS Type with tilde: ________________________________
3
Desmos shows: ____ = ____ β†’ so x = ____
4
Check: ________________________________________

🎫 Exit Ticket β€” Day 2

1. At the State Fair of Texas, admission costs $18 and each ride costs $4. Which equation represents the total cost (y) for x rides?

A. y = 18x + 4
B. y = 4x + 18 βœ“
C. y = 22x
D. y = 4x βˆ’ 18

2. Solve: 3x + 12 = x + 28

A. x = 4
B. x = 8 βœ“
C. x = 16
D. x = 20

πŸ“™ Day 3 β€” Functions & Scatterplots

TEKS 8.5(G) & 8.5(D) | Readiness Standards | "Is this a function? What's the trend?"

πŸ“Ž Day 3 Materials: πŸ–₯️ Slide Deck πŸ“„ Worksheet

🎯 Learning Objectives

🌍 Culturally Responsive Context

πŸ€
Dallas Connection: Students analyze whether real data is a function: Dallas Mavericks player stats (does each jersey number map to one player?), student survey data (shoe size vs. height for classmates), and local temperature trends in Dallas by month. Scatterplot data uses real Dallas weather data and local restaurant ratings.

⏱ 50-Minute Schedule

0:00 – 0:05
Warm-Up (5 min) β€” "Function or Not?" card sort activity. Students sort 4 tables into "Function" and "Not a Function" piles at their desks. ADHD: Hands-on sorting = kinesthetic engagement
0:05 – 0:18
I Do β€” Explicit Instruction: Functions (13 min)
  • "A function is like a vending machine β€” each button gives you EXACTLY one item."
  • Show 4 representations: ordered pairs, table, mapping, graph
  • Key rule: Each input (x) can only have ONE output (y)
  • Vertical Line Test on graph: "If a vertical line touches the graph more than once, it's NOT a function."
  • Dallas context: "Each student ID number β†’ one student name = function. One phone number β†’ multiple people = NOT a function."
ID: Use color coding β€” green border = function, red border = not
0:18 – 0:20
Movement Break (2 min) β€” "Stand if it's a function, sit if it's not" β€” teacher shows quick examples ADHD: Total Physical Response engagement
0:20 – 0:30
I Do / We Do β€” Scatterplots & Trend Lines (10 min)
  • Show scatterplot of Dallas monthly temperatures vs. ice cream sales
  • DESMOS Build a scatterplot in Desmos: Press the + (plus sign) β†’ click "table". Enter x-values (temperatures) and y-values (ice cream sales). Desmos plots the points automatically!
  • DESMOS Add a trend line: Click the "Add regression" symbol β†’ Desmos draws the best-fit line AND gives you the equation! Remember: m = MULTIPLIER (slope), b = BONUS (y-intercept). Use the line to predict: "If it's 95Β°F in July, trace up to the line β€” how many ice cream cones?"
  • Key vocab: positive association, negative association, no association
  • Guided practice with faded example
0:30 – 0:42
You Do β€” Independent Practice (12 min)
  • 3-4 mixed problems: identify functions (2) + scatterplot prediction (1-2)
  • Checklist at desk; teacher circulates for check-ins every 3-4 problems
ID: 2 problems; visual aids with arrows on mapping diagrams
0:42 – 0:50
Exit Ticket & Closure (8 min)

🎲 Low-Prep Activities β€” Day 3: Functions & Scatterplots

ActivityTimeMaterialsHow It Works
Function or Not? Four Corners 5-7 min Nothing β€” just space! Label room corners: "Function," "Not a Function," "I Think Function," "I Think Not." Teacher shows a set of ordered pairs or a table. Students walk to the corner matching their answer. Discuss. ADHD: Full-body movement + decision making ID: Allow buddy system; show only 2 corners (Function / Not)
Vending Machine Analogy Sort 5-8 min Index cards or sticky notes Write real-life mappings on cards: "Student ID β†’ Student Name," "Phone Number β†’ Multiple People," "Jersey Number β†’ Player." Students sort into "Function" and "Not a Function" piles using the vending machine rule: one button = one item only. Dallas context: use Mavericks jersey numbers!
Human Scatterplot 8-10 min Masking tape on the floor (make an x/y axis) Tape a large coordinate plane on the floor. Give each student a sticky note with their data point (e.g., shoe size vs. height). Students physically stand on their point. Class observes: "Do you see a positive trend? Negative? No trend?" Then lay a jump rope as the trend line. ADHD: Total Physical Response β€” students ARE the data!
Desmos Scatterplot Builder DESMOS 5-8 min Desmos calculator (device) Students survey 5 classmates (e.g., "How many hours of sleep last night?" vs. "How many snacks today?"). Enter data into a Desmos table. Add regression line with y₁ ~ mx₁ + b. Describe the association. Real data = real engagement!
Vertical Line Test Tracing 3-5 min Printed graphs + a pencil or ruler Give students 6 printed graphs. They hold a pencil/ruler vertically and slide it across each graph. If the pencil touches more than one point at any spot β†’ NOT a function. Circle the answer. Simple, tactile, effective. ID: Use large-print graphs; highlight the "double-touch" spots in color

πŸ“ Faded Worked Example β€” Identifying a Function

Problem 1 (Fully Worked): Is this a function? {(2, 5), (3, 7), (4, 9), (5, 11)}

1
List all x-values: 2, 3, 4, 5 βœ…
2
Check: Does any x-value repeat? No βœ…
3
Each x has exactly one y β†’ YES, it IS a function βœ…

Problem 2 (Partially Faded): Is this a function? {(1, 4), (2, 7), (1, 9), (3, 5)}

1
List all x-values: 1, 2, 1, 3 βœ…
2
Does any x-value repeat? ____ Which one? ____
3
Is it a function? ____ Why? ________________________________

🎫 Exit Ticket β€” Day 3

1. Which set of ordered pairs represents a function?

A. {(1, 3), (2, 5), (1, 7), (4, 9)}
B. {(1, 3), (2, 5), (3, 7), (4, 9)} βœ“
C. {(5, 1), (5, 2), (5, 3), (5, 4)}
D. {(2, 4), (3, 6), (2, 8), (4, 10)}

2. A scatterplot shows that as the temperature in Dallas increases, water park attendance also increases. What type of association does this show?

A. Positive association βœ“
B. Negative association
C. No association
D. Non-linear association

πŸ“• Day 4 β€” Pythagorean Theorem & Transformations

TEKS 8.7(C) & 8.10(A) | Readiness Standards | "Measuring Dallas & moving shapes"

πŸ“Ž Day 4 Materials: πŸ–₯️ Slide Deck πŸ“„ Worksheet

🎯 Learning Objectives

🌍 Culturally Responsive Context

πŸ—οΈ
Dallas Connection: Pythagorean Theorem applied to real Dallas scenarios: finding the diagonal distance across Klyde Warren Park, calculating the height of Reunion Tower using its shadow, measuring screen diagonals at AT&T Stadium. Transformations use Dallas map grids β€” translate the Cowboys star logo, reflect shapes across the Trinity River, rotate patterns from local murals in Deep Ellum.

⏱ 50-Minute Schedule

0:00 – 0:05
Warm-Up (5 min) β€” Show a photo of Reunion Tower. "If the tower casts a shadow 300 feet long and a wire from the top to the end of the shadow is 500 feet... how tall is the tower?" Activate curiosity. ADHD: Visual hook with real photo
0:05 – 0:18
I Do β€” Pythagorean Theorem with STAAR Desmos (13 min)
  • Reference chart connection: aΒ² + bΒ² = cΒ² β€” "It's ON your reference chart!"
  • Label: a = leg, b = leg, c = hypotenuse (LONGEST side, across from the right angle)
  • Anchor chart: "Hypotenuse Hunter" β€” Always identify the hypotenuse FIRST
  • Model: "A TV at AT&T Stadium is 48 inches wide and 36 inches tall. What's the diagonal?"
  • DESMOS The Desmos Method β€” "Let Desmos do the math!"

πŸ–© Desmos Steps β€” Pythagorean Theorem

1: aΒ² + bΒ² ~ cΒ²   β† Type the formula using ~ (tilde, not equals!)
2: a = 48   β† Plug in the first leg
3: b = 36   β† Plug in the second leg
4: c =   β† Leave this BLANK β€” Desmos will solve for c!
πŸ’‘ Teacher tip: When you leave one variable blank, Desmos uses regression (~) to solve for it! The answer appears as a slider value. For this problem, Desmos shows c = 60 inches. "See? Desmos did the squaring, adding, AND square root for us!"
πŸ’‘ Finding a LEG instead? Same method! If c = 13 and a = 5, just type: Line 1: aΒ² + bΒ² ~ cΒ², Line 2: a = 5, Line 3: b = (leave blank), Line 4: c = 13 β†’ Desmos gives you b = 12!
ID: Provide pre-labeled triangle diagrams; teacher projects Desmos on screen while students follow along on their devices
0:18 – 0:20
Movement Break (2 min) β€” "Transformation Dance" β€” Teacher says "translate" (slide left), "reflect" (mirror pose), "rotate" (turn 90Β°) ADHD: Kinesthetic vocabulary building
0:20 – 0:32
I Do / We Do β€” Transformations (12 min)
  • Translation: slide shape β†’ add/subtract to coordinates β†’ (x + a, y + b)
  • Reflection: flip across x-axis β†’ (x, βˆ’y); y-axis β†’ (βˆ’x, y)
  • Rotation 90Β° clockwise β†’ (y, βˆ’x)
  • Use Dallas map grid overlay; students transform the Cowboys star logo
  • Faded worked example with coordinate rules
0:32 – 0:42
You Do (10 min) β€” 4 problems: 2 Pythagorean, 2 transformations. Checklist available. ID: 2-3 problems; enlarged grid paper; pre-labeled diagrams
0:42 – 0:50
Exit Ticket & Closure (8 min)

🎲 Low-Prep Activities β€” Day 4: Pythagorean Theorem & Transformations

ActivityTimeMaterialsHow It Works
Pythagorean Theorem Desmos Race DESMOS 5-8 min Desmos calculator (device), scratch paper Teacher calls out: "a = 9, b = 12 β€” find c!" Students race to set up aΒ² + bΒ² ~ cΒ² in Desmos and call out the answer. First correct answer earns a point. Then switch: "c = 25, a = 7 β€” find b!" Builds speed AND Desmos fluency for test day. ADHD: Competitive, fast-paced
Classroom Measurement Challenge 8-10 min Measuring tape or ruler, scratch paper Students measure the length and width of real objects (desk, whiteboard, floor tiles). Then use Desmos to find the diagonal. "Measure your desk β€” 24 inches by 18 inches. What's the diagonal?" Students physically measure to verify their Desmos answer! ADHD: Hands-on, out of seat ID: Work in pairs; teacher pre-measures for accuracy
Transformation Dance-Off 5 min Nothing β€” just space! Students stand. Teacher calls a transformation + direction: "Translate 3 steps right!" (students slide right) "Reflect across the y-axis!" (students mirror/face opposite) "Rotate 90Β° clockwise!" (students quarter-turn). Speed up the calls. Last one standing without a mistake wins! ADHD: Full-body kinesthetic vocabulary
Coordinate Grid Battleship 8-10 min Graph paper (2 grids per student) or printed grids Students draw a triangle on their "secret" grid. Partner must guess vertices by calling coordinates. Once found, partner must perform a transformation (e.g., "Reflect it across the x-axis β€” what are the new coordinates?"). Combines coordinate practice with transformation rules.
Right Triangle or Not? Card Sort 5-7 min Index cards with 3 side lengths written on each Write sets of 3 numbers on cards (e.g., 3-4-5, 5-7-10, 8-15-17). Students use Desmos to check: type aΒ² + bΒ² ~ cΒ² with the values. If Desmos confirms, it's a right triangle! Sort into "Right Triangle" and "Not" piles. ID: Pre-label which number is the longest (potential c)

πŸ“ Faded Worked Example β€” Pythagorean Theorem WITH DESMOS

Problem 1 (Fully Worked): A ramp at a Dallas skate park has a base of 6 ft and height of 8 ft. Find the length of the ramp (hypotenuse).

1
Find formula on REFERENCE CHART: aΒ² + bΒ² = cΒ² βœ…
2
LABEL: a = 6 (base/leg), b = 8 (height/leg), c = ? (hypotenuse β€” what we're solving for) βœ…
3
DESMOS Type into Desmos:
Line 1: aΒ² + bΒ² ~ cΒ²
Line 2: a = 6
Line 3: b = 8
Line 4: c = (leave blank β€” let Desmos solve!)
βœ…
4
Read answer from Desmos: c = 10 feet βœ… β†’ The ramp is 10 feet long!

Problem 2 (Partially Faded): A ladder leans against a Dallas building. The base is 5 ft from the wall and the ladder is 13 ft long. How high does it reach?

1
Find formula: aΒ² + bΒ² = cΒ² βœ…
2
LABEL: a = 5 (base), b = ? (height β€” solving for this!), c = 13 (ladder = hypotenuse) βœ…
3
DESMOS Type into Desmos:
Line 1: aΒ² + bΒ² ~ cΒ²
Line 2: a = ____
Line 3: b = (leave ________)
Line 4: c = ____
4
Read answer from Desmos: b = ____ feet

Problem 3 (Mostly Faded): A diagonal path across Klyde Warren Park goes from one corner to the opposite. The park is 240 ft long and 70 ft wide. How long is the diagonal path?

1
Find formula on reference chart: aΒ² + bΒ² = cΒ² βœ…
2
LABEL: a = ____, b = ____, c = ____ (which one are you solving for?)
3
DESMOS Type all 4 lines into Desmos on your own:
Line 1: ________________
Line 2: ________________
Line 3: ________________
Line 4: ________________
4
Answer: The diagonal path is ____ feet

🎫 Exit Ticket β€” Day 4

1. A football field at AT&T Stadium is 100 yards long and 53 yards wide. What is the approximate diagonal distance across the field?

A. 153 yards
B. 113.2 yards βœ“
C. 76.5 yards
D. 130 yards

2. Triangle ABC has vertices A(2, 3), B(5, 3), and C(2, 7). If the triangle is reflected across the y-axis, what are the new coordinates of point B?

A. (5, βˆ’3)
B. (βˆ’5, 3) βœ“
C. (βˆ’3, 5)
D. (3, βˆ’5)

πŸ““ Day 5 β€” Mixed Review, Strategies & Confidence Building

TEKS 8.7(A), 8.2(D) + All Week's TEKS | "You are READY for STAAR!"

πŸ“Ž Day 5 Materials: πŸ–₯️ Slide Deck πŸ“„ Worksheet

🎯 Learning Objectives

🌍 Culturally Responsive Context

πŸŽ‰
Dallas Connection: Volume problems use real Dallas objects β€” the cylindrical water tower near Fair Park, a cone of raspas (snow cones) from a Dallas raspas stand, a basketball (sphere) from a Mavericks game. Ordering real numbers uses distances between Dallas landmarks. Final review builds confidence: "Dallas students are strong and prepared!"

⏱ 50-Minute Schedule

0:00 – 0:05
Warm-Up / Confidence Builder (5 min) β€” "Brain Dump" β€” Students write down everything they remember from the week on a whiteboard. Celebrate what they know! ADHD: Low-stakes, high-energy start
0:05 – 0:15
I Do β€” Volume with STAAR Desmos & Ordering Numbers (10 min)
  • Volume: "Formulas are on your reference chart! Let's find them AND put them in Desmos!"
  • DESMOS The Desmos Volume Method β€” Cylinder example:

πŸ–© Desmos Steps β€” Volume of a Cylinder

"A Dallas water tank is a cylinder with radius 5 ft and height 12 ft. Find the volume."

Step 1: Find the formula on reference chart β†’ V = Bh (for cylinder)

Step 2: Ask β€” "What does B mean?" β†’ B = Area of the Base β†’ "What shape is the base of a cylinder?" β†’ A CIRCLE! β†’ "What's the area of a circle?" β†’ Ο€rΒ²

Step 3: Type it all into Desmos:

1: V ~ B Β· h   β† The volume formula (use ~ tilde!)
2: V =   β† Leave blank β€” this is what we're SOLVING for!
3: B ~ Ο€ Β· rΒ²   β† B = Area of the Base = area of a circle!
4: h = 12   β† Plug in the height
5: r = 5   β† Plug in the radius
πŸ’‘ Desmos calculates: B = Ο€(5Β²) = 78.54, then V = 78.54 Γ— 12 = V β‰ˆ 942.48 ftΒ³. "We just told Desmos WHAT the formulas are and WHAT the values are, and it did ALL the math!"

πŸ–© Desmos Steps β€” Volume of a Cone

"A raspa cone from a Dallas raspas stand has r = 3 in, h = 6 in."

"What's different about a cone? β†’ V = β…“Bh (it's one-third!) β†’ Base is still a circle!"

1: V ~ (1/3) Β· B Β· h   β† Cone formula has the β…“!
2: V =   β† Leave blank to solve
3: B ~ Ο€ Β· rΒ²   β† Base is still a circle
4: h = 6
5: r = 3
πŸ’‘ Desmos gives us V β‰ˆ 56.55 inΒ³. "The cone holds way less than a cylinder because of that β…“!"
  • Ordering Real Numbers β€” The Desmos x= Number Line Method:
  • DESMOS "Type each number as x= and Desmos puts them on a number line for you!"

πŸ–© Desmos Steps β€” Ordering Real Numbers

"Order these from least to greatest: 0.5, √7, 2², 26/5"

1: x = 0.5
2: x = √7   β† Desmos will calculate this automatically!
3: x = 2Β²   β† Same as x = 4
4: x = 26/5   β† Same as x = 5.2
πŸ’‘ Each x = line draws a vertical line on the graph. Now look at the number line β€” the vertical lines appear from left to right = least to greatest! Read them off: 0.5, √7 (β‰ˆ2.65), 2Β² (= 4), 26/5 (= 5.2). Done!
πŸ’‘ Teacher tip: Have students point to each vertical line from left to right and write the original number underneath. "Left to right, least to greatest!"
ID: Pre-printed reference chart with formulas highlighted; teacher projects Desmos step-by-step
0:15 – 0:17
Movement Break (2 min) ADHD: Essential reset before test practice
0:17 – 0:30
STAAR Strategy Station Rotation (13 min)
  • First: Everyone folds scratch paper into 8 boxes β€” "Each problem gets its own box!"
  • Station 1: "Screen to Scratch" β€” Practice reading a problem on screen and writing keywords + drawing shapes/tables onto scratch paper
  • Station 2: "Plug It In" β€” Test answer choices by substituting
  • Station 3: "Eliminate the Impostor" β€” Cross out wrong answers first
  • Each station has 2 mixed STAAR-format problems + strategy card
  • Rotate every 4 minutes with timer visible
0:30 – 0:42
Mini Practice Test (12 min)
  • 6 STAAR-format questions covering all 5 days' TEKS
  • Simulates test conditions (but with accommodations in place)
  • Students use Screen to Scratch β€” fold scratch paper into 8 boxes, write keywords and draw diagrams from each problem
  • Checklists and reference chart available
ID: 4 questions; read aloud; extended time
0:42 – 0:50
Review, Celebrate & Closure (8 min)
  • Go over mini test answers together
  • Each student shares ONE thing they feel confident about
  • Positive affirmation: "You have worked hard this week. You ARE ready!"
  • Hand out personalized "STAAR Survival Kit" β€” Screen to Scratch reminder card + checklist of strategies + reference sheet

🎲 Low-Prep Activities β€” Day 5: Volume, Mixed Review & Test Strategies

ActivityTimeMaterialsHow It Works
Volume Desmos Challenge: "Can vs. Cone vs. Ball" DESMOS 8-10 min Desmos calculator (device), real objects (optional: soda can, party hat, tennis ball) Bring in (or just describe) 3 objects: a soda can (cylinder), a party hat (cone), and a tennis ball (sphere). Students measure or are given dimensions, then race to find each volume in Desmos using the V~Bh method. "Which holds the most? Which holds the least?" ADHD: Real objects + competition = high engagement ID: Provide the Desmos template pre-typed; students just change the numbers
Number Line Clothesline 5-7 min String/yarn + clothespins (or tape on wall) + index cards Hang a string across the room as a number line. Write numbers on cards: √9, 2.8, Ο€, 7/4, 3.5. Students use Desmos to convert to decimals, then clothespin each card in the correct order on the line. Walk along the line to check. ADHD: Out of seat, tactile
STAAR Strategy Relay Race 8-10 min Printed STAAR-format problems (1 per team per round), pencils Teams of 2-3. Each round: team gets one STAAR problem. They must NAME the strategy they'll use (eliminate, plug in, estimate, use reference chart, Desmos) BEFORE solving. Correct strategy + correct answer = 2 points. Correct answer only = 1 point. Builds metacognition about test-taking!
"Beat the Teacher" Quiz Show 5-8 min Nothing β€” just the board/projector! Teacher intentionally makes mistakes solving problems on the board. Students catch the errors. "I got c = 8 for a triangle with legs 6 and 10... am I right?" Students check with Desmos and explain the mistake. Builds error analysis skills with ZERO prep. ID: Make errors obvious at first; gradually make them subtler
Confidence Card Sort 5 min 3 index cards per student (green, yellow, red β€” or just write G/Y/R) Teacher names each topic from the week: "Slope... Equations... Functions... Pythagorean... Volume..." Students hold up green (got it!), yellow (kinda), or red (need help). Use this data to form flexible groups for the mini practice test. Also builds student self-awareness. ADHD: Quick, active, no writing required

πŸ“ Faded Worked Example β€” Volume with Desmos WITH DESMOS

Problem 1 (Fully Worked): A Dallas water tank is a cylinder with r = 5 ft, h = 12 ft. Find the volume.

1
Find formula on REFERENCE CHART: V = Bh (cylinder). B = Area of Base. What shape is the base? Circle! Area of circle = Ο€rΒ² βœ…
2
Identify values: r = 5, h = 12, V = ? (solving for volume) βœ…
3
DESMOS Type into Desmos:
Line 1: V ~ B Β· h
Line 2: V = (leave blank)
Line 3: B ~ Ο€ Β· rΒ²
Line 4: h = 12
Line 5: r = 5
βœ…
4
Read from Desmos: V β‰ˆ 942.48 ftΒ³ βœ…

Problem 2 (Partially Faded): A raspa cone has r = 3 in and h = 6 in. Find the volume.

1
Find formula: V = β…“Bh (cone β€” it has the β…“!). Base = circle = Ο€rΒ² βœ…
2
Identify: r = 3, h = 6, V = ? βœ…
3
DESMOS Type into Desmos:
Line 1: V ~ (1/3) Β· B Β· h
Line 2: V = (leave ____)
Line 3: B ~ Ο€ Β· rΒ²
Line 4: h = ____
Line 5: r = ____
4
Read from Desmos: V β‰ˆ ________ inΒ³

Problem 3 (Mostly Faded): A Mavericks basketball (sphere) has r = 4.7 in. Find the volume. (Hint: V = ⁴⁄₃πrΒ³ β€” no height needed for a sphere!)

1
Find formula on reference chart: V = ⁴⁄₃πrΒ³ (sphere β€” no B or h, just radius!) βœ…
2
Identify: r = ____, V = ____
3
DESMOS Type into Desmos on your own:
Line 1: ____________________
Line 2: ____________________
Line 3: ____________________
4
Read from Desmos: V β‰ˆ ________ inΒ³

🎫 Exit Ticket β€” Day 5 (Mini Mixed Review)

1. A cylindrical trash can in downtown Dallas has a radius of 2 feet and a height of 4 feet. What is the approximate volume? (Use Ο€ β‰ˆ 3.14)

A. 25.12 ftΒ³
B. 50.24 ftΒ³ βœ“
C. 100.48 ftΒ³
D. 16.56 ftΒ³

2. Which list shows the numbers in order from LEAST to GREATEST?

Numbers: √4, 1.5, 7/4, Ο€

A. Ο€, √4, 7/4, 1.5
B. 1.5, 7/4, √4, Ο€ βœ“
C. 1.5, √4, 7/4, Ο€
D. 7/4, 1.5, √4, Ο€
βœ… Procedural Checklists Bank

Print, laminate, and place on each student's desk. Students check off each step as they complete it.

πŸ“‹ Finding Slope from a Table DESMOS

Pick any TWO points from the table
DESMOS Press the + (plus sign) button
DESMOS Click on "table"
DESMOS Type your two points into the table
DESMOS Click the "Add regression" symbol β€” Desmos gives the equation!
Read the equation: y = mx + b β†’ m is the MULTIPLIER (slope) = the number touching x. b is the BONUS (y-intercept) = the number by itself
Check: Does the slope make sense for the context?

πŸ“‹ Writing y = mx + b DESMOS

Use the Desmos Table + Regression method (same as Finding Slope checklist)
Desmos gives you the full equation: y = mx + b
Read m (MULTIPLIER = slope = number touching x)
Read b (BONUS = y-intercept = number by itself)
Check: Does the line in Desmos pass through all the points? If yes, your equation is correct!

πŸ“‹ Solving Equations (Variables on Both Sides) DESMOS

⚠️ CHANGE "x" TO ANOTHER LETTER! Use "a" or any letter EXCEPT x. (Desmos treats x as a graphing variable.)
DESMOS Type the WHOLE equation using ~ (tilde) instead of = sign
Example: 3x + 56 = 17x becomes β†’ 3a + 56 ~ 17a
READ the answer from Desmos (e.g., a = 4)
Write your answer as x = (the number Desmos gave you)
CHECK: Plug your answer back into BOTH sides of the original equation β€” do they match?

πŸ“‹ Is It a Function?

Look at all the X-VALUES (inputs)
Ask: "Does any x-value REPEAT?"
If YES β†’ check if that x gives DIFFERENT y-values β†’ NOT a function
If NO repeats β†’ IT IS a function!
For graphs: Use VERTICAL LINE TEST β€” does any vertical line cross more than once?

πŸ“‹ Pythagorean Theorem DESMOS

Find the formula on the REFERENCE CHART: aΒ² + bΒ² = cΒ²
LABEL the triangle: c = hypotenuse (LONGEST side, across from right angle), a & b = legs
Which value are you SOLVING for? (a, b, or c?) β€” that one stays BLANK in Desmos
DESMOS Line 1: Type aΒ² + bΒ² ~ cΒ² (use the TILDE ~, not =)
DESMOS Line 2: Type a = (plug in value OR leave blank if solving for a)
DESMOS Line 3: Type b = (plug in value OR leave blank if solving for b)
DESMOS Line 4: Type c = (plug in value OR leave blank if solving for c)
READ the answer from Desmos β€” the blank variable now has a value!
CHECK: Does the answer make sense? (c should always be the BIGGEST number)

πŸ“‹ Volume (Cylinder, Cone, Sphere) DESMOS

Identify the 3D SHAPE: Cylinder? Cone? Sphere?
Find the correct FORMULA on reference chart
Ask: "What does B stand for?" β†’ B = Area of the BASE β†’ "What shape is the base?"
Identify r (radius) and h (height) from the problem
DESMOS For CYLINDER:
  • Line 1: V ~ B Β· h
  • Line 2: V = (leave blank)
  • Line 3: B ~ Ο€ Β· rΒ² (base = circle!)
  • Line 4: h = ___
  • Line 5: r = ___
DESMOS For CONE: Same as cylinder BUT Line 1 is: V ~ (1/3) Β· B Β· h (add the β…“!)
DESMOS For SPHERE:
  • Line 1: V ~ (4/3) Β· Ο€ Β· rΒ³ (no B or h needed!)
  • Line 2: V = (leave blank)
  • Line 3: r = ___
READ the answer from Desmos & include UNITS (ftΒ³, inΒ³, cmΒ³, etc.)

πŸ“‹ Transformations (Coordinate Rules)

Read: What TYPE of transformation? (translate, reflect, rotate)
Write the ORIGINAL coordinates of each vertex
Apply the RULE:
  • Translate: (x + a, y + b)
  • Reflect x-axis: (x, βˆ’y)
  • Reflect y-axis: (βˆ’x, y)
  • Rotate 90Β° CW: (y, βˆ’x)
Write the NEW coordinates
Plot and CHECK β€” does the new shape look correct?

πŸ“‹ Ordering Real Numbers DESMOS

Type each number on its own line as x = (number)
Examples:
  • x = 0.5
  • x = √7 (Desmos calculates automatically!)
  • x = 2Β² (exponents work too!)
  • x = 26/5 (fractions work too!)
Look at the graph β€” each value shows as a vertical line
Read the vertical lines from LEFT to RIGHT = LEAST to GREATEST
Write the numbers in order from left to right
πŸ“ Faded Worked Examples β€” Design Principles

What Are Faded Worked Examples?

Faded worked examples are an evidence-based scaffolding strategy grounded in Cognitive Load Theory. They reduce the demand on working memory by gradually removing solution steps, requiring students to complete increasingly more of the problem independently.

🧠
How Backward Fading Works:
  • Problem 1: ALL steps shown (fully worked) β€” student studies it
  • Problem 2: Last 1-2 steps removed β€” student completes them
  • Problem 3: Last 3-4 steps removed β€” student does most of the work
  • Problem 4: Only the problem is given β€” full independence
This backward fading has been shown to be more effective than forward fading for students with learning disabilities.

Key for Color-Coded Steps

GREEN = Given β€” Step is fully completed for the student
YELLOW = Partial β€” Part is given, student fills in the rest
RED = Blank β€” Student completes the entire step independently
πŸ’‘
Teacher Tips:
  • For students with ID: Stay on Problem 1 and 2 longer; may need 3-4 fully worked examples before fading
  • For students with ADHD: The step-by-step format helps maintain focus; use a pointer or finger to track each step
  • Pair with procedural checklists so students can self-monitor which step they're on
  • Use think-alouds during I Do: verbalize your reasoning at each step
πŸ–© STAAR Desmos Calculator β€” Quick Reference
🎯
Why Desmos? The STAAR Desmos calculator is the SAME calculator students use on the actual STAAR test. By practicing with it during review, students build familiarity and confidence. The tilde (~) regression method lets Desmos solve formulas for any missing variable β€” a game-changer for students who struggle with algebraic manipulation.

The Tilde (~) Method β€” "Let Desmos Solve It!"

The tilde (~) tells Desmos to use regression to find the best value for any undefined variable. Instead of doing all the algebra by hand, students type the formula and the known values, and Desmos solves for the unknown.

When You See This on STAAR...Type This in Desmos
Pythagorean Theorem
Find a missing side
aΒ² + bΒ² ~ cΒ²
a = ___ (plug in or leave blank)
b = ___ (plug in or leave blank)
c = ___ (plug in or leave blank)
Leave the UNKNOWN one blank!
Volume of Cylinder
V = Bh, B = Ο€rΒ²
V ~ B Β· h
V = (leave blank to solve)
B ~ Ο€ Β· rΒ²
h = ___
r = ___
Volume of Cone
V = β…“Bh, B = Ο€rΒ²
V ~ (1/3) Β· B Β· h
V = (leave blank)
B ~ Ο€ Β· rΒ²
h = ___
r = ___
Volume of Sphere
V = ⁴⁄₃πrΒ³
V ~ (4/3) Β· Ο€ Β· rΒ³
V = (leave blank)
r = ___
Find slope / equation from a table
y = mx + b
Press + β†’ click "table" β†’ enter points
Click "Add regression" symbol
Desmos gives: y = mx + b
m = MULTIPLIER (slope), b = BONUS (y-intercept)
Solve equations
(variables on both sides)
⚠️ Change x to another letter (use "a")!
3a + 56 ~ 17a β†’ Desmos shows a = 4
Use ~ (tilde) not = sign!
Cannot use "x" β€” use any other letter
Order real numbers
least to greatest
Type each number as x = ___ on its own line:
x = 0.5
x = √7
x = 2Β²
x = 26/5
Vertical lines appear β†’ left to right = least to greatest!

Key Desmos Tips for Students

πŸ“‹ Desmos Do's βœ…

Use ~ (tilde) when you want Desmos to SOLVE for something
Use = (equals) when you're DEFINING a value you already know
Type pi for Ο€ (Desmos recognizes it!)
Use ^ for exponents: r^2 means rΒ²
Use sqrt() for square roots: sqrt(144) = 12
Click the wrench icon to change graph settings

πŸ“‹ Desmos Don'ts ❌

⚠️ Don't use "x" when solving equations with ~ β€” Desmos treats x as a graphing variable! Change x to "a" or any other letter
Don't use Γ— for multiply β€” use Β· (dot) or just put numbers next to variables
Don't forget to leave the UNKNOWN variable blank (no number after =)
Don't panic if you see orange/red β€” just check your typing!
Don't use the same letter for two different things on different lines

Practice Link

πŸ”—
Students can practice at home with the exact same Desmos calculator used on STAAR:
https://www.desmos.com/testing/texas/graphing
Bookmark this link! It's the Texas testing version β€” same features, same layout, same buttons.
πŸ“Š Progress Monitoring & Data Tracking

Daily Exit Ticket Tracking Sheet

Record each student's score on exit tickets to monitor growth across the 5-day review.

Student Name Day 1
Slope
Day 2
Equations
Day 3
Functions
Day 4
Geometry
Day 5
Mixed
Notes / Next Steps
_______________ / 2__ / 2__ / 2__ / 2__ / 2
_______________ / 2__ / 2__ / 2__ / 2__ / 2
_______________ / 2__ / 2__ / 2__ / 2__ / 2
_______________ / 2__ / 2__ / 2__ / 2__ / 2
_______________ / 2__ / 2__ / 2__ / 2__ / 2
_______________ / 2__ / 2__ / 2__ / 2__ / 2

Scoring Key

2/2βœ… Mastered β€” Ready to move on
1/2⚠️ Approaching β€” Needs targeted reteach
0/2πŸ”΄ Not Yet β€” Requires intensive re-instruction

Observation Checklist (Daily)

Behavior / IndicatorStudent 1Student 2Student 3Student 4
Used procedural checklist independently☐☐☐☐
Completed faded example with support☐☐☐☐
Completed faded example independently☐☐☐☐
Stayed on task during independent practice☐☐☐☐
Used calculator appropriately☐☐☐☐
Referenced the STAAR reference chart☐☐☐☐
Attempted all problems before asking for help☐☐☐☐
Verbalized reasoning / math talk☐☐☐☐
🎯 STAAR Test-Taking Strategies

🧩 Strategies for Students with ID

  • 1. "Screen to Scratch" β€” Since the test is online, you can't highlight or underline on screen. Instead, write down your keywords on scratch paper. Draw the shapes, tables, or diagrams you see. Your scratch paper IS your workspace!
  • 2. "Find It on the Chart" β€” Before solving, check the reference chart. If a formula is needed, it's there!
  • 3. "Read Twice, Solve Once" β€” Read the problem. Read it again. THEN solve.
  • 4. "Plug In the Answers" β€” Try each answer choice in the problem to see which one works.
  • 5. "Fold into 8 Boxes" β€” Fold your scratch paper into 8 boxes. Each problem gets its own box to stay organized.
  • 6. "Skip and Come Back" β€” If stuck, put a star β˜… and move to the next one. Come back later.
  • 7. "No Blanks" β€” Always choose an answer, even if guessing. Eliminate one obviously wrong answer first.

⚑ Strategies for Students with ADHD

  • 1. "Screen to Scratch" β€” Write down keywords from the screen onto your scratch paper. When possible, draw the shapes, tables, or other important info you see. Your scratch paper is your workspace!
  • 2. "5-5-5 Rule" β€” Work for 5 problems, take 5 deep breaths, then do 5 more.
  • 3. "Fold Your Paper into 8 Boxes" β€” Fold scratch paper into 8 boxes. Do the work for each problem in its own box β€” keeps things organized!
  • 4. "Touch Each Answer" β€” Point to each answer choice and ask "Could this be right?" before selecting.
  • 5. "Body Check" β€” Every 10 questions, check your body: feet on floor, sit up straight, take 3 breaths.
  • 6. "Flag and Move" β€” Use the online flag tool to mark questions to review; don't get stuck.

General STAAR Math Strategies (All Students)

πŸ“‹ STAAR Day Checklist

Before the test: Get a good night's sleep, eat breakfast, bring a pencil for scratch paper
Fold scratch paper into 8 BOXES β€” each problem gets its own box!
Read the WHOLE question before looking at answer choices
"Screen to Scratch" β€” Write down keywords from the screen onto your scratch paper. Draw any shapes, tables, or diagrams you see. You can't highlight on the screen, so your scratch paper is your workspace!
Check the reference chart for formulas you need
Show your work in your scratch paper box β€” even for multiple choice
Eliminate wrong answers β€” mentally cross out choices you know are wrong
Estimate first β€” Does your answer make sense?
Never leave a blank β€” Guess if you have to!
Check your work if you finish early β€” go back to starred/flagged questions
πŸ”— Resource Links

Official TEA Resources

STAAR Grade 8 Math Blueprinttea.texas.gov β€” Blueprint PDF
STAAR Reference Materials (Grade 8)tea.texas.gov β€” Reference Chart
Released STAAR Tests (Practice)tea.texas.gov β€” Released Tests
2023 STAAR Redesign Practice Testtea.texas.gov β€” 2023 Practice Test
STAAR Accommodations Educator Guide 2025-26tea.texas.gov β€” Accommodations Guide
Assessments for Special Populationstea.texas.gov β€” Special Populations

TEKS Alignment & Snapshots

lead4ward TEKS Snapshot (Grade 8 Math)lead4ward.com β€” Snapshot
lead4ward TEKS Tree (Grade 8 Math)lead4ward.com β€” TEKS Tree
TEKS Guide by TEAteksguide.org
IXL Texas 8th Grade Math Standardsixl.com β€” TX Standards

Free Practice Worksheets & Activities

Effortless Math β€” Free STAAR 8 Worksheetseffortlessmath.com
Lumos Learning β€” Free STAAR Practicelumoslearning.com
NewPath Worksheets β€” STAAR 8th Mathnewpathworksheets.com
Maneuvering the Middle β€” STAAR Reviewmaneuveringthemiddle.com

Special Education & Accommodations

ADDitude β€” Math Accommodations for ADHDadditudemag.com
CHADD β€” Classroom Accommodationschadd.org
CHADD β€” Math Assignment Accommodations (PDF)chadd.org β€” PDF
CDC β€” ADHD in the Classroomcdc.gov
Intervention Central β€” Math Self-Correction Checklistsinterventioncentral.org
TTAC β€” Proceduralizing Strategyttaclinklines.pages.wm.edu
Curriculum for Autism β€” Scaffolded Equationscurriculumforautism.com
Made for Math β€” Accommodations Generatormadeformath.com

Culturally Responsive Teaching

EdWeek β€” 12 Ways to Make Math Culturally Responsiveedweek.org
Edutopia β€” CRT in Math Classroomedutopia.org
ACE-Ed β€” CRT Strategies for Inclusive Mathace-ed.org
EdTX β€” Equitable Secondary Math Instruction (PDF)edtx.org β€” PDF
NCTM β€” Culturally Responsive Pedagogynctm.org

STAAR Desmos Calculator

STAAR Desmos Texas Testing Calculatordesmos.com β€” Texas Testing Graphing
Desmos Classroom Activitiesteacher.desmos.com
Desmos User Guidedesmos.com/calculator
TEA β€” STAAR Online Testing Tools (Desmos Info)tea.texas.gov β€” Online Testing

Faded Worked Examples & Scaffolding Research

n2y β€” Best Practices: Math Examples & Scaffoldingn2y.com
EEF β€” Supporting Pupils with Worked Exampleseducationendowmentfoundation.org.uk
Backward Faded Math Resourcestaylorda01.weebly.com
MiddleWeb β€” Math Strategies for Students with Disabilitiesmiddleweb.com

8th Grade STAAR Math Review β€” 5-Day Special Education Lesson Plan

Dallas ISD • Spring 2026 • Created for SpEd Small Group Pull-Out (ID & OHI/ADHD)

Built with research from TEA, lead4ward, CHADD, ADDitude, CDC, EEF, NCTM, and Edutopia

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