Integrated Math II (WA Math 2026)

Data Analysis (DA)

• M.HS.DA.DS.1 Pose multivariable investigative questions, plan how data could answer them and think about cause and prediction when framing them.
• M.HS.DA.DS.2 Understand bias and confounding variables in data collection, and good practice for handling data, including sensitive and private information.
• M.HS.DA.DS.3 Use technology to clean, sort or filter data sets, then summarize relationships between quantitative variables with scatter plots, regressions, histograms and box plots.
• M.HS.DA.DS.4 Recognize missing values and the bias they can cause, weigh competing explanations such as confounding variables and respond to other interpretations.
• M.HS.DA.SCP.1 Describe events as parts of a sample space using outcome categories, or as unions, intersections and complements ("or", "and", "not").
• M.HS.DA.SCP.2 Know events are independent when P(A and B) equals P(A) × P(B), and use this to test independence.
• M.HS.DA.SCP.3 Understand P(A given B) = P(A and B) ÷ P(B), and independence as the conditional probability equaling the unconditional one.
• M.HS.DA.SCP.4 Build and read two-way frequency tables and use them as a sample space to judge independence and estimate conditional probabilities.
• M.HS.DA.SCP.5 Explain conditional probability and independence in everyday words and situations.
• M.HS.DA.SCP.6 Find P(A given B) as the share of B's outcomes that are also in A, and interpret it using the model.
• M.HS.DA.SCP.7 Apply the Addition Rule for P(A or B) and explain the result using the model.

Quantity (Q)

• M.HS.Q.ASSE.1 Explain what an expression means in its context, for any family of functions.
  • a. Name and explain parts of expressions such as terms, factors and coefficients.
  • b. Make sense of complicated expressions by treating some parts as single quantities.
• M.HS.Q.ASSE.2 Spot structure or patterns in an expression and use them to rewrite it.
• M.HS.Q.FIF.7 Graph function families from their equations, by hand or with technology, showing intercepts, increase and decrease, maxima and minima, symmetry and end behavior.
  • a. Show intercepts, maxima and minima.
  • b. Graph square root, cube root and piecewise functions, including step and absolute value functions.
  • c. Graph polynomials, showing zeros when they factor and the end behavior.
  • d. Graph logarithmic functions (intercepts, end behavior) and trig functions (period, midline, amplitude).
  • e. (+) Graph rational functions, showing zeros, asymptotes and end behavior.
• M.HS.Q.FIF.8 Rewrite a function in equivalent forms to bring out and explain different properties.
  • a. Factor or complete the square to reveal a quadratic's zeros, maximum or minimum and line of symmetry in context.
  • b. Use exponent rules to interpret exponential growth and decay expressions, including non-integer time constants.
• M.HS.Q.FIF.9 Compare properties of two functions shown in different forms, across many function families.
• M.HS.Q.ACED.4 Rearrange formulas to isolate a quantity of interest, reasoning as when solving equations.
• M.HS.Q.FBF.1 Write a function for the relationship between two quantities, including linear, exponential and sequence relationships in context.
  • a. Find an explicit formula, a recursive rule or calculation steps from a context.
  • b. Combine standard functions with arithmetic operations.
  • c. (+) Compose functions.
• M.HS.Q.FBF.3 Identify how adding k, multiplying by k or replacing x with kx or x + k changes a graph, find k from graphs and explain the effects.
• M.HS.Q.NRN.1 Explain how rational exponents follow from extending the integer exponent rules, giving a way to write radicals.
• M.HS.Q.NRN.2 Rewrite radical and rational-exponent expressions using exponent rules.
• M.HS.Q.NRN.3 Explain why sums and products of rationals are rational and why mixing a rational with an irrational (non-zero product) gives an irrational.
• M.HS.Q.AAPR.1 Show polynomials behave like the integers (closed under +, −, ×) and add, subtract and multiply them.
• M.HS.Q.GSRT.3 Use similarity transformations to establish the angle-angle test for similar triangles.
• M.HS.Q.GSRT.6 Understand that, by similarity, right-triangle side ratios depend only on the angles, which defines the trig ratios of acute angles.
• M.HS.Q.GSRT.7 Explain and use how sine and cosine of complementary angles relate.
• M.HS.Q.GSRT.8 Solve right triangles in applied problems with trig ratios and the Pythagorean Theorem.

Relationships (R)

• M.HS.R.FIF.4 Read key features of graphs and tables of a function in context and sketch graphs from a description of key features.
• M.HS.R.FIF.5 Link a function's domain to its graph and to the situation it models, across many function families.
• M.HS.R.FIF.6 Find what a non-linear function's average rate of change is over an interval, explain it and estimate it from a graph.
• M.HS.R.ACED.1 Model a situation with a one-variable equation or inequality and solve problems with it.
• M.HS.R.ACED.2 Write equations in two or more variables for relationships and graph them on labeled, scaled axes.
• M.HS.R.ASSE.3 Rewrite expressions in equivalent forms chosen to reveal and explain a particular property.
  • a. Factor a quadratic to show the zeros of its function.
  • b. Complete the square to show a quadratic function's maximum or minimum.
  • c. Use exponent rules to rewrite exponential function expressions.
• M.HS.R.AREI.4 Solve one-variable quadratic equations with a method suited to the equation's form.
  • a. Complete the square to get the form (x − p)² = q and derive the quadratic formula from it.
  • b. Solve quadratics by inspection, square roots, completing the square, the formula or factoring, recognizing complex solutions.
• M.HS.R.FLE.3 See from graphs and tables that exponential growth eventually overtakes linear, quadratic and polynomial growth.
• M.HS.R.AREI.7 Solve a simple system of one linear and one quadratic equation in two variables, algebraically and by graphing.
• M.HS.R.GCO.9 Prove theorems about lines and angles, such as vertical angles, transversals and perpendicular bisectors.
• M.HS.R.GCO.10 Prove theorems about triangles: angle sums, base angles, midsegments and medians.
• M.HS.R.GCO.11 Prove theorems about parallelograms: opposite sides and angles and the diagonals.
• M.HS.R.GSRT.4 Prove triangle theorems on proportionality and similarity, including the Pythagorean Theorem.
• M.HS.R.GSRT.5 Use triangle congruence and similarity tests to solve problems and prove relationships in figures.
• M.HS.R.GC.1 Prove that all circles are similar.
• M.HS.R.GC.2 Describe how inscribed angles, radii and chords in a circle relate, including special cases such as angles on a diameter.
• M.HS.R.GC.5 Use similarity to show arc length is proportional to radius, define radians and derive the area of a sector.

Spatial Reasoning (SR)

• M.HS.SR.GGPE.1 Use the Pythagorean Theorem to write a circle's equation from its center and radius, and complete the square to recover the center.
• M.HS.SR.GGPE.4 Prove simple geometry facts with algebra on the coordinate plane.
• M.HS.SR.GC.3 Construct a triangle's inscribed and circumscribed circles and prove angle properties of quadrilaterals inscribed in a circle.
• M.HS.SR.GSRT.1 Check by experiment how dilations with a given center and scale factor affect lines and segments.
  • a. A line not through the center maps to a parallel line; a line through the center stays put.
  • b. A segment's image is longer or shorter by the scale factor.
• M.HS.SR.GSRT.2 Decide by similarity transformations whether figures are similar, and explain triangle similarity as equal angles and proportional sides.
• M.HS.SR.GGMD.1 Give informal arguments for circumference and area of a circle and volumes of cylinders, pyramids and cones.
• M.HS.SR.GGMD.3 Solve problems with volume formulas for spheres, cones, pyramids and cylinders.
• M.HS.SR.GGMD.4 Identify cross-sections of solids and the solids made by rotating flat shapes.
• M.HS.SR.GMG.1 Describe real objects with shapes, their measures and properties, e.g. a tree trunk as a cylinder.
• M.HS.SR.GMG.2 Apply ideas of density (per unit area or volume) when modeling, e.g. people per square mile.
• M.HS.SR.GMG.3 Use geometric methods to solve design problems, such as meeting physical constraints or keeping cost down.