High School Mathematics 1 – New Nation Academy

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Basic Skills 1 Quiz

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Lesson Content

Quiz – Algebra

ALGEBRA 1

Real numbers 3 Topics

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Sort rational and irrational numbers

Classify rational and irrational numbers

Properties of operations on rational and irrational numbers

Number sequences 12 Topics | 1 Quiz

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Identify arithmetic and geometric sequences

Arithmetic sequences

Geometric sequences

Evaluate variable expressions for number sequences

Evaluate recursive formulas for sequences

Identify a sequence as explicit or recursive

Write variable expressions for arithmetic sequences

Write variable expressions for geometric sequences

Write a formula for a recursive sequence

Convert a recursive formula to an explicit formula

Convert an explicit formula to a recursive formula

Number sequences: mixed review

Quiz – Number Sequences

Exponential functions 6 Topics

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Evaluate an exponential function

Match exponential functions and graphs

Domain and range of exponential functions: graphs

Domain and range of exponential functions: equations

Exponential growth and decay: word problems

Compound interest: word problems

Quadratic equations 16 Topics

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Characteristics of quadratic functions: graphs

Characteristics of quadratic functions: equations

Complete a function table: quadratic functions

Transformations of quadratic functions

Graph quadratic functions in vertex form

Solve a quadratic equation using square roots

Solve a quadratic equation using the zero product property

Solve a quadratic equation by factoring Complete the square

Solve a quadratic equation by completing the square

Solve a quadratic equation using the quadratic formula

Using the discriminant

Write a quadratic function in vertex form

Graph quadratic functions in standard form

Match quadratic functions and graphs

Write a quadratic function from its vertex and another point

Systems of linear and quadratic equations

Functions: linear, quadratic, exponential 9 Topics

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Identify linear and exponential functions from graphs

Identify linear, quadratic, and exponential functions from graphs

Identify linear and exponential functions from tables

Identify linear, quadratic, and exponential functions from tables

Write linear and exponential functions

Write linear, quadratic, and exponential functions

Linear functions over unit intervals

Exponential functions over unit intervals

Describe linear and exponential growth and decay

Absolute value and function families 11 Topics

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Complete a function table: absolute value functions

Graph an absolute value function

Domain and range of absolute value functions: graphs

Domain and range of absolute value functions: equations

Transformations of absolute value functions

Function transformation rules

Translations of functions

Reflections of functions

Dilations of functions

Transformations of functions

Describe function transformations

Radical functions and equations 4 Topics

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Evaluate a radical function

Domain and range of radical functions: graphs

Domain and range of radical functions: equations

Solve radical equations

Rational functions and expressions 10 Topics

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Rational functions: asymptotes and excluded values

Simplify complex fractions

Simplify rational expressions

Multiply and divide rational expressions

Divide polynomials by monomials

Divide polynomials using long division

Add and subtract rational expressions

Simplify mixed rational expressions

Solve rational equations

Evaluate rational expressions

GEOMETRY

Points, lines, line segments, and planes 13 Topics

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Lines, line segments, and rays

Properties of planes, lines, and points

Describe intersections in a plane

Lengths of segments on number lines

Additive property of length

Midpoints

Congruent line segments

Perpendicular Bisector Theorem

Midpoint formula: find the midpoint

Midpoint formula: find the endpoint

Distance formula

Distance to the origin in three dimensions

Construct the midpoint or perpendicular bisector of a segment

Parallel and perpendicular lines 6 Topics

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Identify parallel, intersecting, and skew lines and planes

Construct a perpendicular line

Transversals: name angle pairs

Transversals of parallel lines: find angle measures

Construct parallel lines

Proofs involving parallel lines

Lines in the coordinate plane 8 Topics

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Coordinate plane review

Slopes of lines

Graph a linear equation

Equations of lines

Slopes of parallel and perpendicular lines

Equations of parallel and perpendicular lines

Find the distance between a point and a line

Find the distance between two parallel lines

Three-dimensional figures 5 Topics

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Parts of three-dimensional figures

Three-dimensional figure vocabulary

Nets and drawings of three-dimensional figures

Cross sections of three-dimensional figures

Solids of revolution

Logic 8 Topics

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Identify hypotheses and conclusions

Counterexamples

Conditionals

Negations

Converses, inverses, and contrapositives

Bi-conditionals

Truth tables

Truth values

Transformations 18 Topics

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Classify congruence transformations

Translations: graph the image

Translations: find the coordinates

Translations: write the rule

Reflections: graph the image

Reflections: find the coordinates

Rotate polygons about a point

Rotations: graph the image

Rotations: find the coordinates

Sequences of congruence transformations: graph the image

Transformations that carry a polygon onto itself

Congruence transformations: mixed review

Dilations: graph the image

Dilations: find the coordinates

Dilations: find length, perimeter, and area

Dilations: scale factor and classification

Dilations: find the scale factor and center of the dilation

Dilations and parallel lines

Triangles 8 Topics

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Mid-segments of triangles

Triangles and bisectors

Identify medians, altitudes, angle bisectors, and perpendicular bisectors

Angle-side relationships in triangles

Triangle Inequality Theorem

Construct the circumcenter or incenter of a triangle

Construct the centroid or orthocenter of a triangle

Proofs involving triangles

Trigonometry 15 Topics

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Trigonometric ratios: sin, cos, and tan

Trigonometric ratios: csc, sec, and cot

Trigonometric ratios in similar right triangles

Trigonometric functions of complementary angles

Find trigonometric functions of special angles

Find trigonometric functions using a calculator

Inverses of trigonometric functions

Trigonometric ratios: find a side length

Trigonometric ratios: find an angle measure

Solve a right triangle

Law of Sines

Law of Cosines

Solve a triangle

Area of a triangle: sine formula

Area of a triangle: law of Sines

Circles and parabolas in the coordinate plane 16 Topics

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Find the center of a circle

Find the radius or diameter of a circle

Write equations of circles in standard form from graphs

Write equations of circles in standard form using properties

Convert equations of circles from general to standard form

Find properties of circles from equations in general form

Graph circles from equations in standard form

Graph circles from equations in general form

Find the vertex of a parabola

Find the focus or directrix of a parabola

Find the axis of symmetry of a parabola

Write equations of parabolas in vertex from graphs

Write equations of parabolas in vertex form using properties

Convert equations of parabolas from general to vertex form

Find properties of a parabola from equations in general form

Graph parabolas

Vectors 8 Topics

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Compass directions and vectors

Magnitude of a vector

Component form of a vector

Component form of a vector given its magnitude and direction angle

Graph a resultant vector using the triangle method

Graph a resultant vector using the parallelogram method

Add vectors

Subtract vector

PRECALCULUS

Functions 16 Topics

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Domain and range

Identify functions

Evaluate functions

Find values using function graphs

Complete a table for a function graph

Find the slope of a linear function

Graph a linear function

Write the equation of a linear function

Linear functions over unit intervals

Average rate of change

Add, subtract, multiply, and divide functions

Composition of functions

Identify inverse functions

Find values of inverse functions from tables

Find values of inverse functions from graphs

Find inverse functions and relation

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