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Algebra I Curriculum
| Month |
Suggested Month |
Topics |
| 1 |
Sep |
Compare decimals; Fractions and percents - convert one to another; Order of operations; Ratio and Proportion; Exponents; Scientific Notation; Estimation; Word Problems |
| 2 |
Oct |
Compound interest; Algebraic expressions; Simple algebraic formulas; Pythagorean Theorem; Word Problems involving creating of algebraic expressions |
| 3 |
Nov |
Linear Inequalities; Triangle Inequality; Solving simple linear equations; Creating and solving linear equations for word problems; Word Problems pertaining to surface area and volume |
| 4 |
Dec |
Advanced Linear equations; Solving for a variable; Plotting linear equations in two variables and calculating slope and intercepts; Slope/Intercept format of a line; Midpoint/Distance formulas; Relationship of slopes of parallel and perpendicular lines |
| 5 |
Jan |
Review; Sets & Venn diagrams; Point slope format ; Converting Repeating decimal to fractions; Review of inequalities and graphing them |
| 6 |
Feb |
Factoring simple algebraic expressions; Factoring by recognizing the pattern of simple formulas and quadratic formula; Graphing Linear Absolute equations; Roots of quadratic equation by completing the square method |
| 7 |
Mar |
Review algebraic expressions; Quadratic formula & Graphing quadratic equations; Creating and solving quadratic word problems; Determine roots, intercepts, vertex and line of symmetry of a parabola; Graphing Quadratic inequalities |
| 8 |
Apr |
Factoring of trinomials; Circle and Ellipses; Solving quadratic equations by factoring |
| 9 |
May |
Solving systems of equations; Solving word problems using systems of equations; Solving non-linear equations by substitution; Solving non-linear equations by substitution |
Summer Transition AI - GEO
(Available in Broze and Silver only)
| Month |
Suggested Month |
Topics |
| 10 |
Jun |
Review AI - Order and properties of operations, equalities and inequalities; Fractions, Decimals and Percents; Pythagorean Theorem; Exponentiation; Scientific Notation; Ratio and Proportion; Slope, Midpoint and Distance Formulas; Linear Equations; Intercepts; Parallel and Perpendicular Lines; Linear Inequalities; Absolute Value Function; Word Problems; Polynomials; Quadratics: Roots, Intercepts, Vertex and Line of Symmetry; Quadratic Formula; Factoring: Completing the Square and Trinomials; Quadratic Inequalities; Sets and Venn Diagrams; Circles and Ellipses; Systems of Equations; Linear & Quadratic Inequalities |
| 11 |
July |
Preview GEO - Geometric History: Euclid Elements; Descartes Discourse on Method; Introduction to Proofs and Logic;
Axiomatic Geometry: Axioms, Postulates and Theorems;
Logic: Truth Tables; Logic Operators; Implications; Logical Equivalency;
Proof: Parts and Reasons; Direct and Indirect Proofs; Proof by Induction; Proof by Transposition |
| 12 |
Aug |
Preview GEO - Geometric Positions: Cartesian Plane; Introduction to Transformations;
Geometric Constructions: Compass and Straightedge; Segments, Lines, Points, Arcs and Figures; Constructible Numbers;
Practical Geometry: Introduction to Polygons and Polyhedra; Length, Area and Volume; Graphic Solutions: Identifying Graphs; Writing Equations; Systems of Equations and Inequality |
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