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Mathematics: Grade 7 Updated 10.2025
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G7 MCAS Approved Math Supplemental Reference SheetG7 2024-5 Prog Monitoring📽 Vocabulary Development with Naming Support
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Planning Grid (Gantt Chart)MCAS Grade 7 Math Reference SheetG7 Graphic Organizers for G7 UPDATED 1/23Desmos Graphing CalculatorGrade 7 Progress Monitoring TestProgress Monitoring Test 7 HigherGrade 7-8 Practice BASI TestGeneral Process Template.Tier 2/3 Math Vocabulary by GradeG7 Math Visual PromptsG2-8 Visual Prompts
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Sequence instruction by academic quarter.Key:
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Indicate when you are introducing a skill by flagging the appropriate quarter green. • Click +/- signs in the far-left margin to view skills within each topic.
• Each cell is a link to the worksheet(s) or slide presentation. Hover over the cell to see the link, then click to open.
• Skills progress from easiest to most difficult, from left to right.
• Blue cells indicate that this is a priority skill for this grade level.
• Cells with matching border colors are related (like a video demonstration 📽).
• Make yourself a copy of this spreadsheet and use the Gantt chart to mark your progression through the curriculum.
• Note: New materials are frequently added to this spreadsheet. Check back regularly to see what's new. New items can be copied and pasted into your personal copy.
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Flag the skill red when students are practicing the skill on independent assignments (homework).
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Q1
Aug-Nov		Q2
Dec-Mar		Q3
Mar- June		📽 = video⛳ = Independent/Extension
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Q1
Sep-Oct		Q2
Nov-Jan		Q3
Feb-Mar		The Number System
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Q1
Sep-Oct		Q2
Nov-Jan		Q3
Feb-Mar		Ratios and Proportional Relationships
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A. Analyze proportional relationships and use them to solve real-world and mathematical problems.
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7.RP.A.1Compute unit rates associated with ratios of fractions, including ratios of lengths, areas, and other quantities measured in like or different units. For example, if a person walks 1⁄2 mile in each 1⁄4 hour, compute the unit rate as the complex fraction 1⁄2∕1⁄4 miles per hour, equivalently 2 miles per hour.⛳ 7.RP.A1 Unit Rate w fractions MCAS Problems
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See 6.rpb.3 for Unit Rate Introduction Worksheet Series7.RP.A1 Unit Rates with Ratios of fractionsBubble Race Convert feet per second to miles per 1 hour7.RP.A1 How fast is it going? Which is faster?Boston Terrier Velocity and ft/sec to miles/hr template📽 Boston Terrier Velocity Video📽Snowball Velocity Video📽Woodpecker Velocity Video
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Solve Rate Problems with Fractions and/or Proportions 7RP.A.17.RP.A.1 How Fast is it Going in 5, 1, 10, and 9 Seconds?7.RPA Boston Terrier Velocity Unit Rate7RP.A1 Race a Boston Terrier's VelocityLaser Guided BT Video
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7.RP.A.2.aRecognize and represent proportional relationships between quantities. a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table, or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.⛳ 7.RP.A2 Proportional Relationships MCAS problems
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See 6.rp.3a for precursor worksheets and activities7.RP.A2Test for Proportionality6.EE.7 Diagram px=q Equations7RP.A px=q Equations Paired with Proportion Problems7.RP.A 📽 Solve an Activity-Based Proportion Problem Building Block Chains Video7.RP.A Solve an Activity-Based Proportion Problem Building Block Chains
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7RP.A 📽 Solve and Check Proportions Video7RP.A Solve and Check proportions New G.O. 11.2023
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7.RP.A.2.bIdentify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and
verbal descriptions of proportional relationships.		Extending to G8
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7.RP.A2.b COP From Tables7.RP.A2.b COP from Graph Graph Proportions from DescriptionsSlopemaster Paper Airplane Slope4-Stage Flight Path Slopes in 4 Quadrants7.RP.A Roof Slope Measure Legs Compute Slope
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📽 Slopemaster Video
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7.RP.A.2.cRepresent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
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Reference Bank of Independent and Dependent Variables on x/y AxesFind, then extend Unit rate with Graph, X/Y Table and TableSolve a proportion problem with an equation, then validate the solution by extending the unit rate (no graph).Solve a proportion word problem, unit rate, and COP and graph Solve a proportion word problem then find and plot the COP and represent the equation as an equation: y=mx. Unit Rates with Slope
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might want to combine this with 7.RP.A.2.c above, thinking of those sheets where you find and then graph unit rate.
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7.RP.A.2.dExplain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.
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Define the slope of a line using arbitrary objects.
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7.RP.A.3Use proportional relationships to solve multi-step ratio, rate, and percent problems. For example: simple interest, tax, price increases and discounts, gratuities and commissions, fees, percent increase and decrease, percent error.7.RP.A3 MCAS problems
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Compare Prices at 2 Stores with Unit RatesProportion sets of 3 problems with the same theme, coefficient and Lined Paper LCCompare rates of speedWord Problem Proportion Templates with Diminishing StructureProportion problems base on similar figures and word problems based on indirect measurement from Prealgebra- McGraw Hill©2003Students use proportion table templates or work on paper.14 Blank Proportion Tables to use on a textbook assignment
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Express Fractions as %📽 Initial Fraction Encoding with Leaf Drop Worksheet and Activity seriesLeaf Drop Thematic Unit: Fractions to Percent📽Fraction Decimal % Conversions Video Fraction decimal % conversions 6RP3c Baseball Winning % Unit (2022)Baseball Percentage of Wins UnitBaseball Fraction and % Notebook Program File
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Percentages
📽 Percentage Estimation Video% Estimation TreesBenchmark % Estimates7.RP.A 3 Winter Sports 3 % Types
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% of a whole: 15% 20% Tip Word ProblemsGarden % Composition by Quantity and AreaBaseball 2018 Texas Percents 3-types3 Types of Related % Problems100% = % Discount + % You Pay 2025 update% Estimation Trees all 3 typesChoose a Realtor
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1.2 Find the part % word problems Find the Part 2.5Turkey Part %% AreasMixed % Word ProblemsChoose the best discountDiscounts with Sales Tax6RP.3 Generate % Equations from Estimation Trees 📽 Generate % Equations from Estimation Trees Video
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% Change (increase or decrease)ShadowMaster PlansShadowMaster Data Spreadsheets with % Change📽 Shadowmaster % Change Manual Calculation Video7.RP.A.3 Shadowmaster % Change Manual Calculation7.RP.A.3 Goldfish Survival %
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Sep-Oct		Q2
Nov-Jan		Q3
Feb-Mar		Expressions and Equations
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A. Use properties of operations to generate equivalent expressions.
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7.EE.A.1Apply properties of operations to add, subtract, factor, and expand linear expressions with rational
coefficients. For example, 4x + 2 = 2(2x +1) and -3(x – 5∕3) = -3x + 5.		⛳ 7.EE.A.1 MCAS Manipulate Expressions Questions
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Precursor skill: Semantic-based distributive propertyx4 and x7 facts using distributive property
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7.EE.A.2Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.” A shirt
at a clothing store is on sale for 20% off the regular price, “p”. The discount can be expressed as 0.2p. The new price for the shirt can be expressed as p – 0.2p or 0.8p.		⛳ 7.EE.A.2 MCAS Expressions in Real World Questions
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B. Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
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7.EE.B.3Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers
in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies. For example, if a woman making $25 an hour gets a 10% raise, she will make an additional 1∕10 of her
salary an hour, or $2.50, for a new salary of $27.50. If you want to place a towel bar 93⁄4 inches long in the center of a door that is 271⁄2 inches wide, you will need to place the bar about 9 inches from each edge; This estimate can be used as a check on the exact computation.		⛳ 7.EE.B.3 MCAS Real Life Rational Numbers Questions
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Solve simple equations: Precursor 6th Grade Link Solve Equations involving Decimal Values with Box the Dollar Strategy
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7.EE.B.4Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.⛳ 7.EE.B.4 MCAS Equations and Inequalities Questions
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📽 Equation VideoBest Equation StartersTranslate word problems into equationsWord Problems to x+q=r Linear Diagrams to EquationsInequalities PresentationInequalities worksheet series
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7.EE.B.4.aSolve word problems leading to equations of the form px + q = r and p(x ÷ q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
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7EE.B.4.a Solve Complex and Related Simple Equations in Tandemax and ax+b Word ProblemsSolve for missing Dimensions within 2d and 3d figuresSolve Increasingly difficult Word Problems
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7.EE.B.4.bSolve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example, as a salesperson, you are paid $50 per week plus $3 per sale. This week you want your
pay to be at least $100. Write an inequality for the number of sales you need to make, and describe
the solutions.
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Inequalities Word ProblemsGraph and solve inequalities- Holt 1982
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7.EE.B.4.cExtend analysis of patterns to include analyzing, extending, and determining an expression for simple arithmetic and geometric sequences (e.g., compounding, increasing area), using tables, graphs, words, and expressions.
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Q1
Sep-Oct		Q2
Nov-Jan		Q3
Feb-Mar		Geometry