Algebra I
Student Learning Targets / I’m Learning To / I CAN / Beyond I CAN
Big Idea: Solving Equations& Inequalities (approximately 3 weeks)
1. I can solve
· single-variable linear equations
· single-variable inequalities algebraically and graphically.
· literal equations for a specified variable (rearrange a formula for a specific variable.
2. I can solve proportions that contain variables.
3. I can solve word problems, including those with constant rates of change, by writing and solving equations.
Big Idea: Linear Relationships and Statistics (approximately 14 weeks)
4. I can determine and explain the slope of any line (including vertical and horizontal lines) when given any of the following: data points, a line on a graph, a table, an equation, and real world data.
5. I can explain slope as a constant rate of change in real world problems and as a proportion using similar figures.
6. I can identify the x- and y-intercepts from an equation, graph, or table of values. I can explain what the x- and y-intercept of a graph mean in a real world situation.
7. I understand and can explain linear relationship stories using graphs, tables, or equations. I can make connections between the graphs, tables, and equations.
8. I can graph linear equations and inequalities by plotting points, finding x- and y-intercepts, given the slope and any point on the line, and given an equation in slope-intercept form.
9. I can determine how changes in the slope or y-intercept will affect an equation and a graph.
10. I can write the equation of a line in slope-intercept form and standard form given: a graph, two points, or the slope and a point on the line. I can write equations for horizontal and vertical lines.
11. I can distinguish between linear and nonlinear functions by examining data, a table, an equation, or a graph. I can generalize the linear pattern in data using slope.
12. I can write algebraic expressions or equations to generalize visual patterns, numerical patterns, relations, data sets, or scatter plots.
13. I can collect, record, organize, and display a set of data with two variables. I can determine whether the relationship between two variables is linear or nonlinear by examining a scatter plot. I can characterize the relationship between two variables as having positive, negative, or zero correlation.
14. I can estimate the equation a line of best fit through a set of data and use this equation to make predictions. I can explain what the slope and y-intercept tell me about the real world data.
Big Idea: Systems of Equations and Inequalities (approximately 4 weeks)
15. I can solve a system of two linear equations graphically and algebraically with and without the use of technology. I can determine the number of solutions for a system of two linear equations.
16. I can graph a system of linear inequalities and determine solutions.
Big Idea: Real Number Sense (approximately 3 weeks)
17. I can define, classify, compare, and order rational and irrational numbers. I can place rational and irrational numbers on a number line.
18. I can evaluate and simplify expressions, including formulas, containing rational numbers and square roots using the order of operations.
19. I can simplify, add, subtract, multiply, and divide expressions with square roots.
20. I can compute solutions to real world problems, representing my answer in an exact form, and determining whether or not my answer is reasonable using estimation.
21. I can use the Pythagorean Theorem to find any missing side of a right triangle.
Big Idea: Polynomials and Quadratic Equations (approximately 8 weeks)
22. I can simplify expressions containing positive and negative exponents, and express my answer using positive exponents.
23. I can add and subtract polynomials.
24. I can multiply monomials with polynomials. I can multiply two binomials.
25. I can factor a trinomial using the greatest common factor, finding the difference of two squares, and completing perfect square trinomials.
26. I can solve a quadratic equation using factoring and square roots. I can write a quadratic equation given the solutions.
Life Skills
1. I can collaborate successfully and productively on a team. I am a team player—I contribute to team efforts and learn with my team.
2. I can problem solve. I define the problem, employ strategies, and persist to figure out challenging problems.
3. I can reason logically and prove and justify my reasoning and solutions.
4. I can communicate mathematical ideas. I explain successfully my mathematical ideas verbally and in writing. I listen and discuss the mathematical ideas of others.
5. I can represent my mathematical ideas using numbers and number tables, pictures and models, variables and expressions and equations.
6. I can connect my thinking and learning among various mathematical concepts and learning activities.
Technology Skills
1. I use handhelds (calculators, including graphing) appropriately and effectively.
2. I use digital tools to gather, organize, and analyze data.
3. I can use digital media to communicate or present mathematical knowledge, problem solving processes and solutions, and data collection and analysis.
4. I can use technology tools and resources to think creatively and critically, plan and conduct research, develop and manage projects, solve problems, make informed decisions.
5. I demonstrate digital citizenship. I practice legal and ethical behavior when using digital media.