HS Math 1 : Module 1

Sequences
In Module 1, students develop an understanding of Arithmetic Sequences and Geometric Sequences by looking at multiple representations (patterns/context, tables, equations, and graphs).
By the end of this module, students should be able to do the following:
 Identify a sequence as being arithmetic (adding), geometric (multiplying), or neither.
 Determine the constant difference (growth) of an arithmetic sequence.
 Determine the common ratio (growth factor) of a geometric sequence.
 Determine the initial value of a sequence (both when n=0 and n=1).
 Write an explicit equation and recursive equation for arithmetic and geometric sequences.
 Solve problems involving arithmetic and geometric sequences.
Module 1 Resources:
 High School Math 1 curriculum: Mathematics Vision Project website
 Help videos and extra practice: Khan Academy  Sequences
 Help explanations: Purple Math  Arithmetic & Geometric Sequences
HS Math 1 : Module 2

Linear & Exponential Functions
In Module 2, students will work with continuous linear and exponential functions in various representations (context, table, equation, graph). They will also compare these functions to arithmetic and geometric sequences to understand the difference between continuous and discrete.
By the end of this module, students should be able to do the following:
 Identify whether a situation/context is continuous or discrete.
 Identify whether a problem (context, table, equation, graph) is linear, exponential, or neither.
 Identify a function's rate of change and compare it to another function's rate of change.
 Use the linear PointSlope Form to graph and solve problems.
 Make tables, write equations, and graph problems of linear functions.
 Make tables, write equations, and graph problems of exponential functions.
Module 2 Resources:
 High School Math 1 curriculum: Mathematics Vision Project website
 Help videos and extra practice: Khan Academy  Linear Equations and Graphs
 Help videos and extra practice: Khan Academy  Exponential Functions
 Help explanations: Purple Math  Exponential Functions
HS Math 1 : Module 3

Features of Functions
In Module 3, students identify a function's key features (continuous, discrete, increasing, decreasing, domain, range, maximum, minimum, intercepts, rate of change, stepfunctions, function values, and more).
By the end of this module, students should be able to do the following:
 Determine if a function is continuous or discrete.
 Identify intervals where a function is increasing or decreasing from a table or graph.
 Identify the domain and range of a function.
 Locate local maximum values and local minimum values of a function.
 Identify intercepts of a function.
 Determine the rate of change of a function.
 Determine function values, including using function notation.
 Interpret the key features as they relate to a context.
 Write intervals in interval notation and inequality notation.
Module 3 Resources:
 High School Math 1 curriculum: Mathematics Vision Project website
 Help videos and extra practice: Khan Academy  Functions (and features)
 Help explanations: Math Bits Notebook  Features of Functions
HS Math 1 : Module 4

Equations & Inequalities
In Module 4, students build on prior knowledge of solving linear equations and inequalities. They work with more complicated equations/inequalities (multistep) and examine the meaning of the symbols as applied to a context.
By the end of this module, students should be able to do the following:
 Solve multistep linear equations using equivalent (simplified) equations to isolate the unknown. (i.e. "Keep the equation balanced").
 Solve multistep linear inequalities using properties of inequalities.
 Solve literal equations ("formulas" or equations with letter coefficients).
 Write and solve an equation or inequality for a context/application.
 Write solutions to inequalities in both interval notation and set notation.
 Graph solutions to onevariable inequalities on a number line.
Module 4 Resources:
 High School Math 1 curriculum: Mathematics Vision Project website
 Help videos and extra practice (REVIEW): Khan Academy  Linear Equations (REVIEW)
 Help videos and extra practice: Khan Academy  Linear Equations and Inequalities
 Help explanations: Purple Math  Solving Multi Step Linear Equations
HS Math 1 : Module 5

Systems of Equations & Inequalities
In Module 5, students work with systems of equations and systems of inequalities to solve application problems. After developing methods within contexts, students work on problems out of context by using strictly mathematical symbols.
By the end of this module, students should be able to do the following:
 Find the solution to a system using tables, equations, or graphs.
 Describe what the solution to a system of equations or system of inequalities represents in a context.
 Solve a system of equations using the Elimination method (or Linear Combinations).
 Solve a system of equations using the Substitution method.
 Identify the sample space (shaded region) of a system of inequalities by graphing.
Module 5 Resources:
 High School Math 1 curriculum: Mathematics Vision Project website
 Help videos and extra practice: Khan Academy  Linear Equations and Graphs
 Help videos and extra practice: Khan Academy  Solving Systems of Equations
 Help videos and extra practice: Khan Academy  Systems of Inequalities
 Help explanations: Math Planet  System of Inequalities
 Help explanations: Math Planet  Graphing Linear Systems
 Help explanations: Math Planet  Substitution Method
 Help explanations: Math Planet  Elimination Method (or Linear Combinations)
HS Math 1 : Module 6

Transformations & Symmetry
In Module 6, students use rigid geometric transformations (reflection, rotation, translation) to understand important properties of geometric shapes. They will also use geometric transformations to understand ideas of algebra (namely, slopes of parallel or perpendicular lines).
By the end of this module, students should be able to do the following:
 Reflect a shape on a grid (on graph paper) across a line to the precise new location.
 Rotate a shape on a grid (on graph paper) around a point to the precise new location.
 Translate a shape on a grid (on graph paper) to the precise new location.
 Identify a sequence of transformations that will match an original image ("preimage") to a transformed/new image ("image").
 Write an equation of a line that is parallel to a give/know line.
 Write an equation of a line that is perpendicular to a give/known line.
 Identify features of geometric shapes (mainly polygons). These features include lines of symmetry, centers of rotation, congruent angles, congruent sides, properties of diagonals, etc.
Module 6 Resources:
 High School Math 1 curriculum: Mathematics Vision Project website
 Help videos and extra practice: Khan Academy  Geometric Transformations
 Help videos and extra practice: Khan Academy  Parallel and Perpendicular Lines
 Help explanations: Math Bits Notebook  Rigid Transformations
 Help explanations: Math Warehouse  Parallel and Perpendicular Lines
HS Math 1 : Module 7

Congruence, Construction & Proof
In Module 7, students use compass and straight edge constructions to further understand properties of shapes as well as understand the minimum conditions required to ensure two triangles are congruent (matching in size and shape).
By the end of this module, students should be able to do the following:
 Complete a number of geometric constructions (construct a rhombus, a square, parallelograms, equilateral triangles, inscribed hexagons, parallel lines, perpendicular bisector, perpendicular line through a given point, angle bisector, etc.)
 Identify whether two triangles are congruent using SAS, ASA, AAS, and SSS Triangle Congruence.
 Identify corresponding parts of congruent shapes.
Module 7 Resources:
 High School Math 1 curriculum: Mathematics Vision Project website
 Help videos and extra practice: Khan Academy  Congruence and Constructions
 Help explanations: Math Open Reference  Construction Demos
 Help explanations: Math Bits Notebook  Congruent Triangles (SAS, ASA, AAS, SSS)
HS Math 1 : Module 8

Connecting Algebra & Geometry
In Module 8, students work with geometric shapes on the coordinate plane to connect ideas from geometry to ideas found in algebra. Specifically, students use the geometric Pythagorean Theorem while on the coordinate plane to create the algebraic Distance Formula for coordinates.
By the end of this module, students should be able to do the following:
 Calculate the distance between two points on the coordinate plane.
 Calculate the perimeter and/or area of a geometric shape drawn on the coordinate plane.
 Prove the slope criteria for parallel lines (same slope) and perpendicular lines (opposite reciprocal slope).
 Classify shapes that are drawn on the coordinate plane by connecting algebraic and geometric properties.
 Transform algebraic functions by translating up or down.
Module 8 Resources:
 High School Math 1 curriculum: Mathematics Vision Project website
 Help videos and extra practice: Khan Academy  Shapes/Quadrilaterals on the Coordinate Plane
 Help videos and extra practice: Khan Academy  Distance Between Two Points, Parallel & Perpendicular, and Proofs
 Help explanations: Interactive Math website  Distance Formula
HS Math 1 : Module 9

Modeling Data
In Module 9, students work with data displayed in various ways  a simple list, histogram, stemandleaf, twoway table, scatter plot, and more. Emphasis is placed on interpreting the data display within a context and making informed decisions after analyzing the data.
By the end of this module, students should be able to do the following:
 Describe data set by describing shape, center, and spread.
 Interpret twoway frequency tables.
 Interpret relative frequency tables.
 Estimate the line of best fit and the correlation coefficient.
 Use technology to calculate the line of best fit (linear regression) and the correlation coefficient.
Module 9 Resources:
 High School Math 1 curriculum: Mathematics Vision Project website
 Help videos and extra practice: Khan Academy  Data Distributions
 Help videos and extra practice: Khan Academy  Twoway Tables
 Help videos and extra practice: Khan Academy  Scatterplots (Line of Best Fit)