Indiana Math Blueprint

| | 6.C.4 | Ratios & Unit Rates: Use ratio tables, double number lines, tape diagrams to solve unit pricing, constant speed, and proportion problems. | Critical | Q2 |

| | 6.C.5 | Percents of Quantities: Find the percent of a number as rate per 100; find whole given part and percent; solve discount, tax, tip applications. | Critical | Q2 |

| | 6.C.6 | Order of Operations: Evaluate numerical expressions involving whole-number exponents, parentheses, brackets, and arithmetic operations. | Major | Q1 |

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Checklist Legend (3 Checkpoints per standard):

1: Initial Instruction 2: Formative Quiz 3: Summative Mastery

I-LEARN Item Format Reminder: 6.C.1 & 6.C.2 appear predominantly on the non-calculator segment. 6.C.4 & 6.C.5 feature multi-part scenario tasks.

Indiana Academic Standards • Grade 6 Mathematics Page 1 of 2

Indiana Standards I-LEARN Blueprint Checklist

Teacher: _______________ Year: 20___–20___

Algebraic Thinking, Geometry & Statistics

Part 2: AF, GM, DS

DOMAIN 3 | Algebraic Thinking & Equations (6.AF)

Domain Weight: ~35% • Quarter 3

| | 6.AF.4 | Solve One-Step Equations: Solve one-step linear equations in one variable (\(x+p=q\), \(px=q\)) using inverse operations with rational numbers. | Critical | Q3 |

| | 6.AF.5 | Inequalities on Number Line: Write \(x > c\) or \(x < c\) for real constraints; graph solution sets on number lines (open vs. closed circles). | Support | Q3 |

| | 6.AF.6 | Dependent & Independent Variables: Relate two variables; model with tables, graphs, and equations (e.g., \(d = 60t\)). | Major | Q3 |

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DOMAINS 4 & 5 | Geometry & Measurement (6.GM) & Statistics (6.DS)

Combined Weight: ~35% • Quarters 2 & 4

| | 6.GM.3 | Nets & Surface Area: Represent 3D figures with 2D nets; calculate surface area of rectangular/triangular prisms and pyramids. | Support | Q4 |

| | 6.GM.4 | Dimensional Analysis / Unit Conversion: Convert customary and metric units using ratio reasoning and conversion factors. | Support | Q2 |

| | 6.DS.1 | Statistical Questions: Recognize questions with data variability vs. deterministic questions. | Support | Q4 |

| | 6.DS.2 | Data Displays: Construct and interpret dot plots, histograms, and box plots (five-number summary). | Major | Q4 |

| | 6.DS.3 | Measures of Center & Spread: Calculate mean, median, IQR, and Mean Absolute Deviation (MAD); explain context. | Major | Q4 |

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Indiana Mathematical Process Standards (PS.1–PS.8 Embedded on I-LEARN): Assessed across all content standards

PS.1: Make sense & persevere

PS.2: Reason quantitatively

PS.3: Construct arguments

PS.4: Model with math

PS.5: Use tools strategically

PS.6: Attend to precision

PS.7: Look for structure

PS.8: Repeated reasoning

Indiana Academic Standards • Grade 6 Mathematics Page 2 of 2

TOPIC 3

Ratios, Rates & Percent Reasoning

Standards: 6.C.4, 6.C.5, 6.GM.4

3.1 Ratios & Unit Rates

• Ratio language: Part-to-part and part-to-whole comparisons written as \(a:b\), \(a \text{ to } b\), \(\frac{a}{b}\).
• Visual models: Ratio tables, tape diagrams, double number line diagrams.
• Unit rate: Rates associated with ratios, such as \(\frac{\text{dollars}}{\text{item}}\) or \(\frac{\text{miles}}{\text{hour}}\) (unit price and constant speed).
• Dimensional analysis: Converting customary and metric units via conversion factors.

3.2 Percent Models & Financial Math

• Percent definition: A rate per 100 (e.g., \(35\% = \frac{35}{100} = 0.35\)).

• Three core percent problem types:

  • Find part: \(P = \text{percent} \times \text{whole}\)
  • Find whole: \(W = \frac{\text{part}}{\text{percent}}\)
  • Find percent: \(\% = \frac{\text{part}}{\text{whole}} \times 100\)

• Consumer applications: Sales tax, tip/gratuity, markdowns/discounts.

I-LEARN Key Strategy: Emphasize double number line models for ratios and tape diagrams for fraction division. These visual models appear repeatedly in performance tasks. Page 1 of 2

Indiana Academic Standards Instructional Reference

Part 2: Algebra, Geometry & Data

Algebraic Thinking, Geometry & Statistics

Core Topics & Subtopic Breakdown

TOPIC 4

Expressions, One-Step Equations & Inequalities

Standards: 6.AF.1 – 6.AF.6

4.1 Expressions & Properties

• Translate verbal phrases: E.g., "5 less than twice \(x\)" \(\rightarrow 2x - 5\).
• Parts of an expression: Term, coefficient, variable, constant.
• Evaluating: Substitute given rational numbers for variables.
• Equivalent expressions: Apply distributive property \(a(b+c) = ab+ac\) and combine like terms (\(3x + 4 + 2x = 5x + 4\)).

4.2 Equations, Inequalities & Functions

• One-step equations: Solve \(x+p=q\), \(x-p=q\), \(px=q\), \(\frac{x}{p}=q\) using inverse operations.
• Inequalities: Graph \(x > c\) (open circle, shade right), \(x \le c\) (closed circle, shade left) on number lines.
• Independent vs. Dependent variables: Identify input (independent, \(x\)) and output (dependent, \(y\)).
• Multiple representations: Link tables, verbal rules, equations (\(y = kx\)), and graphs.

TOPIC 5

2D Polygons, 3D Nets, Surface Area & Volume

Standards: 6.GM.1 – 6.GM.3

5.1 Area & Composite Shapes

• Triangle area formula: \(A = \frac{1}{2}bh\) (justified by composing into rectangles/parallelograms).
• Special quadrilaterals: Parallelograms (\(A = bh\)), trapezoids, rhombi.
• Decomposition: Break composite irregular polygons into non-overlapping triangles and rectangles.

5.2 Volume & Surface Area with Nets

• Prism volume: \(V = l \times w \times h\) and \(V = B \times h\) with fractional edge lengths.
• Unit cube packing: Connect fractional dimensions to \(\frac{1}{n}\)-sized unit cubes.
• Surface area nets: Unfold prisms and pyramids into 2D polygon nets; sum individual face areas.

TOPIC 6

Statistical Questions, Center, Spread & Displays

Standards: 6.DS.1 – 6.DS.4

6.1 Statistical Questions & Center

• Statistical questions: Questions that anticipate variability in responses.
• Mean: The fair share or balance point (\(\frac{\sum x}{n}\)).
• Median: The physical middle number of an ordered dataset.
• Choosing center: Use median for skewed distributions/outliers; mean for symmetric data.

6.2 Spread & Graphical Displays

• Variability: Range (Max - Min), Interquartile Range (\(IQR = Q_3 - Q_1\)), and Mean Absolute Deviation (MAD).
• Dot plots: Display frequency of individual data values.
• Histograms: Display frequencies across equal continuous intervals.
• Box plots: Five-number summary (Min, \(Q_1\), Median, \(Q_3\), Max).

Essential Grade 6 Indiana I-LEARN Formula Anchor Provided on State Reference Sheet

Triangle Area: \(A = \frac{1}{2}bh\)

Parallelogram: \(A = bh\)

Prism Volume: \(V = lwh = Bh\)

Interquartile Range: \(IQR = Q_3 - Q_1\)

Indiana Academic Standards (IAS) Mathematics • Grade 6 Page 2 of 2