Pre-Algebra
Course Features
Course Details
Course Overview
The Pre-Algebra course is designed to help students become ready for algebra by ensuring they have a firm understanding of pre-algebra mathematical concepts.
Course topics include:
- Algebraic Expressions with Integers
- Rational Numbers and Exponents
- Applying Irrational Numbers to Pythagorean Theorem
- Transformations
- Angles and Pairs of Lines
- Volume of Circular Solids
- Linear Functions
- Systems of Linear Functions
- Scatter Plots
This course was developed by the International Academy of Science.
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Scope and Sequence
Unit 1 In this unit students study variables and expressions, coefficients, terms, and constants, evaluating algebraic expressions, and algebraic expressions with order of operations. They are introduced to equations, and learn to solve equations by adding and subtracting and by multiplying and dividing. They learn to solve two-step equations and multi-step equations. They learn to solve equations with distributive property and with variables on both sides, and they learn to solve special equations. Unit 2 In this unit students study rational numbers to decimal expansion, terminating decimals to rational numbers, repeating decimals to rational numbers, and percents to decimals. They explore exponents and bases, powers and exponents, multiplying powers with similar bases, multiplying powers with different bases, and dividing powers with similar bases. They learn about exponents of zero, negative exponents, converting exponential expressions, scientific notation, operations with scientific notation, and scientific notation formats. Unit 3 In this unit students learn about perfect squares, irrational numbers, and irrational numbers on the number line. They study cubes, cube roots, cube roots of negative numbers, and learn the Pythagorean Theorem with known legs, the Pythagorean Theorem with an unknown leg, proving the Pythagorean Theorem, and applying converse of Pythagorean Theorem. They further study PT determining right, acute and obtuse triangles, and using PT in the coordinate system. Unit 4 In this unit students explore dilations, translations, reflections, and rotations. They study combinations of transformations, congruent polygons, transformations and congruency, determining similarity with transformations, and similarity transformations. Unit 5 In this unit students learn about linear pairs of angles, and vertical angles. They explore corresponding angles and parallel lines, alternate interior angles and parallel lines, alternate exterior angles and parallel lines, same side interior angles and parallel lines, angles of parallel lines with algebra, angles and polygons, and similar figures and parallel lines. Following this unit students are presented with the Mid-Term Review and Exam. Unit 6 In this unit students study exact and approximate pi, area of circles, and volume of spheres, cylinders, cones, and composite shapes. They also study the Pythagorean Theorem in cones. Unit 7 In this unit students learn about relating graphs to events, functions, sequences, slope, unit rate as slope, and comparing proportional relationships. They study graphing linear equations with slope, slope formula, y-intercept, graphing lines with slope and y-intercept, special linear equations, independent versus dependent variables, and slopes of similar triangles. Unit 8 In this unit students learn about solving systems of equations, parallel lines, perpendicular lines, parallel slopes, and perpendicular slopes. They investigate solving systems of equations via elimination, solving RW systems of equations via elimination, solving systems of equations via substitution, and solving RW systems of equations via substitution. They study comparing linear functions, transforming linear functions, quadratic functions, exponential functions. Unit 9 In this unit students study clustering, linear association, positive versus negative association, outliers, and nonlinear association. They also learn about modeling data with lines, trend lines in scatter plots, correlation, interpolation vs. extrapolation, categorical data. 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